{"version":3,"file":"ml-spectra-processing.js","sources":["../lib-esm/reim/reimAbsolute.js","../node_modules/is-any-array/lib-esm/index.js","../lib-esm/x/getOutputArray.js","../lib-esm/x/xAbsolute.js","../lib-esm/x/xMedian.js","../lib-esm/x/xAbsoluteMedian.js","../lib-esm/x/xCheck.js","../lib-esm/x/xFindClosestIndex.js","../lib-esm/x/xGetFromToIndex.js","../lib-esm/x/xAbsoluteSum.js","../lib-esm/x/xAdd.js","../lib-esm/x/xApplyFunctionStr.js","../lib-esm/x/xMultiply.js","../lib-esm/x/xDotProduct.js","../lib-esm/x/xCrossCorrelation.js","../lib-esm/x/xAutoCorrelation.js","../lib-esm/x/xBoxPlot.js","../lib-esm/x/xBoxPlotWithOutliers.js","../lib-esm/x/xCheckLengths.js","../lib-esm/x/xCorrelation.js","../node_modules/ml-array-max/lib-es6/index.js","../node_modules/ml-array-min/lib-es6/index.js","../node_modules/ml-array-rescale/lib-es6/index.js","../node_modules/ml-matrix/matrix.js","../node_modules/ml-matrix/matrix.mjs","../lib-esm/x/xCostMatrix.js","../lib-esm/x/xCumulative.js","../lib-esm/x/xMean.js","../lib-esm/x/xVariance.js","../lib-esm/x/xStandardDeviation.js","../lib-esm/x/xDistributionStats.js","../lib-esm/x/xDivide.js","../lib-esm/x/xEnsureFloat64.js","../lib-esm/x/xGetTargetIndex.js","../node_modules/fft.js/lib/fft.js","../lib-esm/utils/createArray.js","../lib-esm/utils/createFromToArray.js","../node_modules/ml-xsadd/lib-esm/XSadd.js","../lib-esm/utils/createRandomArray.js","../lib-esm/utils/createStepArray.js","../lib-esm/utils/getRescaler.js","../lib-esm/utils/isPowerOfTwo.js","../lib-esm/utils/nextPowerOfTwo.js","../lib-esm/utils/recursiveResolve.js","../lib-esm/utils/recursiveUntypeArrays.js","../lib-esm/utils/stringify.js","../lib-esm/x/xSubtract.js","../lib-esm/utils/calculateAdaptiveWeights.js","../lib-esm/x/xHilbertTransform.js","../lib-esm/x/xMaxValue.js","../lib-esm/x/xMinValue.js","../lib-esm/x/xHistogram.js","../lib-esm/x/xIsEquallySpaced.js","../lib-esm/x/xIsMonotonic.js","../lib-esm/x/xMassCenterVectorSimilarity.js","../lib-esm/x/xMaxAbsoluteValue.js","../lib-esm/x/xMaxIndex.js","../lib-esm/x/xMeanAbsoluteError.js","../lib-esm/x/xMeanSquaredError.js","../lib-esm/x/xMeanWeighted.js","../lib-esm/x/xMedianAbsoluteDeviation.js","../lib-esm/x/xMinIndex.js","../lib-esm/x/xMinMaxDelta.js","../lib-esm/x/xMinMaxValues.js","../lib-esm/x/xMode.js","../lib-esm/x/utils/erfcinv.js","../lib-esm/x/utils/simpleNormInv.js","../lib-esm/x/xNoiseSanPlot.js","../lib-esm/x/xNoiseStandardDeviation.js","../lib-esm/x/xNorm.js","../lib-esm/x/xSum.js","../lib-esm/x/xNormed.js","../lib-esm/x/xPadding.js","../lib-esm/x/xParetoNormalization.js","../lib-esm/x/xRobustDistributionStats.js","../lib-esm/x/xRemoveOutliersIQR.js","../lib-esm/x/xRescale.js","../lib-esm/x/xRolling.js","../lib-esm/x/xRollingAverage.js","../lib-esm/x/xRollingMax.js","../lib-esm/x/xRollingMedian.js","../lib-esm/x/xRollingMin.js","../lib-esm/x/xRotate.js","../lib-esm/x/xSampling.js","../lib-esm/x/xSequentialFillFromStep.js","../lib-esm/x/xSequentialFillFromTo.js","../lib-esm/x/xSortAscending.js","../lib-esm/x/xSortDescending.js","../lib-esm/x/xUniqueSorted.js","../lib-esm/matrix/matrixCholeskySolver.js","../lib-esm/utils/addWeights.js","../lib-esm/utils/createSystemMatrix.js","../lib-esm/x/xWhitakerSmoother.js","../lib-esm/reim/reimPhaseCorrection.js","../lib-esm/reim/reimAutoPhaseCorrection.js","../lib-esm/reim/reimFFT.js","../lib-esm/xy/xyAlign.js","../lib-esm/xy/xyCheck.js","../lib-esm/xy/xyCovariance.js","../lib-esm/xy/xyMaxYPoint.js","../lib-esm/xy/xyCumulativeDistributionStatistics.js","../lib-esm/xy/xyEnsureFloat64.js","../lib-esm/xy/xyEnsureGrowingX.js","../lib-esm/zones/zonesNormalize.js","../lib-esm/zones/zonesWithPoints.js","../lib-esm/xy/utils/equallySpacedSlot.js","../lib-esm/xy/utils/integral.js","../lib-esm/xy/utils/equallySpacedSmooth.js","../lib-esm/xy/xyEquallySpaced.js","../lib-esm/xy/xyExtract.js","../lib-esm/xy/xyFilter.js","../lib-esm/xy/xyFilterMinYValue.js","../lib-esm/xy/xyFilterTopYValues.js","../lib-esm/xy/xyFilterX.js","../lib-esm/xy/xyFilterXPositive.js","../lib-esm/xy/xyFindClosestPoint.js","../lib-esm/xy/xyGetNMaxY.js","../lib-esm/xy/xyGrowingX.js","../lib-esm/xy/xyIntegral.js","../lib-esm/xy/xyIntegration.js","../lib-esm/xy/xyJoinX.js","../lib-esm/xy/xyMassCenter.js","../lib-esm/xy/xyMassCenterVector.js","../lib-esm/xy/xyMaxClosestYPoint.js","../lib-esm/xy/xyMaximaY.js","../lib-esm/xy/xyMaxMerge.js","../lib-esm/xy/xyMaxY.js","../lib-esm/xy/xyMedian.js","../lib-esm/xy/xyMergeByCentroids.js","../lib-esm/xy/xyMinClosestYPoint.js","../lib-esm/xy/xyMinimaY.js","../lib-esm/xy/xyMinYPoint.js","../lib-esm/xy/xyPeakInfo.js","../lib-esm/xy/xyRealMaxYPoint.js","../lib-esm/xy/xyRealMinYPoint.js","../lib-esm/xy/xyReduce.js","../lib-esm/xy/xyReduceNonContinuous.js","../lib-esm/xy/xyRolling.js","../lib-esm/xy/xySetYValue.js","../lib-esm/xy/xySortX.js","../lib-esm/xy/xyToXYArray.js","../lib-esm/xy/xyToXYObject.js","../lib-esm/xy/xyUniqueX.js","../lib-esm/xy/xyWeightedMerge.js","../lib-esm/xy2/xy2ToXY.js","../lib-esm/xreim/xreimSortX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* Calculates reimAbsolute value of a complex spectrum.\n * @param data - complex spectrum\n * @returns - reimAbsolute value\n */\nexport function reimAbsolute(data) {\n    const length = data.re.length;\n    const re = data.re;\n    const im = data.im;\n    const newArray = new Float64Array(length);\n    for (let i = 0; i < length; i++) {\n        newArray[i] = Math.hypot(re[i], im[i]);\n    }\n    return newArray;\n}\n//# sourceMappingURL=reimAbsolute.js.map","// eslint-disable-next-line @typescript-eslint/unbound-method\nconst toString = Object.prototype.toString;\n/**\n * Checks if an object is an instance of an Array (array or typed array, except those that contain bigint values).\n *\n * @param value - Object to check.\n * @returns True if the object is an array or a typed array.\n */\nexport function isAnyArray(value) {\n    const tag = toString.call(value);\n    return tag.endsWith('Array]') && !tag.includes('Big');\n}\n//# sourceMappingURL=index.js.map","import { isAnyArray } from 'is-any-array';\n/**\n * This function\n * @param output - undefined or a new array\n * @param length - length of the output array\n * @returns\n */\nexport function getOutputArray(output, length) {\n    if (output !== undefined) {\n        if (!isAnyArray(output)) {\n            throw new TypeError('output option must be an array if specified');\n        }\n        if (output.length !== length) {\n            throw new TypeError('the output array does not have the correct length');\n        }\n        return output;\n    }\n    else {\n        return new Float64Array(length);\n    }\n}\n//# sourceMappingURL=getOutputArray.js.map","/**\n * This function returns an array with absolute values.\n * @param array - array of data\n * @returns - array with absolute values\n */\nexport function xAbsolute(array) {\n    const tmpArray = array.slice();\n    for (let i = 0; i < tmpArray.length; i++) {\n        if (tmpArray[i] < 0)\n            tmpArray[i] *= -1;\n    }\n    return tmpArray;\n}\n//# sourceMappingURL=xAbsolute.js.map","import { isAnyArray } from 'is-any-array';\n/**\n * Calculates the median of an array.\n * @param input - Array containing values\n * @param options\n * @returns - median\n */\nexport function xMedian(input, options = {}) {\n    if (!isAnyArray(input)) {\n        throw new TypeError('input must be an array');\n    }\n    if (input.length === 0) {\n        throw new TypeError('input must not be empty');\n    }\n    const { exact = false } = options || {};\n    const array = input.slice();\n    const middleIndex = calcMiddle(0, array.length - 1);\n    const median = quickSelect(array, middleIndex);\n    if (array.length % 2 === 1 || !exact) {\n        return median;\n    }\n    const medianNext = quickSelect(array, middleIndex + 1);\n    return (median + medianNext) / 2;\n}\nfunction quickSelect(array, middleIndex) {\n    let low = 0;\n    let high = array.length - 1;\n    let middle = 0;\n    let currentLow = 0;\n    let currentHigh = 0;\n    while (true) {\n        if (high <= low) {\n            return array[middleIndex];\n        }\n        if (high === low + 1) {\n            if (array[low] > array[high]) {\n                swap(array, low, high);\n            }\n            return array[middleIndex];\n        }\n        // Find median of low, middle and high items; swap into position low\n        middle = calcMiddle(low, high);\n        if (array[middle] > array[high])\n            swap(array, middle, high);\n        if (array[low] > array[high])\n            swap(array, low, high);\n        if (array[middle] > array[low])\n            swap(array, middle, low);\n        // Swap low item (now in position middle) into position (low+1)\n        swap(array, middle, low + 1);\n        // Nibble from each end towards middle, swapping items when stuck\n        currentLow = low + 1;\n        currentHigh = high;\n        while (true) {\n            do\n                currentLow++;\n            while (array[low] > array[currentLow]);\n            do\n                currentHigh--;\n            while (array[currentHigh] > array[low]);\n            if (currentHigh < currentLow) {\n                break;\n            }\n            swap(array, currentLow, currentHigh);\n        }\n        // Swap middle item (in position low) back into correct position\n        swap(array, low, currentHigh);\n        // Re-set active partition\n        if (currentHigh <= middleIndex) {\n            low = currentLow;\n        }\n        if (currentHigh >= middleIndex) {\n            high = currentHigh - 1;\n        }\n    }\n}\nfunction swap(array, i, j) {\n    const temp = array[j];\n    array[j] = array[i];\n    array[i] = temp;\n}\nfunction calcMiddle(i, j) {\n    return Math.floor((i + j) / 2);\n}\n//# sourceMappingURL=xMedian.js.map","import { xAbsolute } from './xAbsolute';\nimport { xMedian } from './xMedian';\n/**\n * This function calculates the median after taking the xAbsolute values of the points.\n * @param array - the array for which we want to calculate the absolute value\n * @returns - median\n */\nexport function xAbsoluteMedian(array) {\n    return xMedian(xAbsolute(array));\n}\n//# sourceMappingURL=xAbsoluteMedian.js.map","import { isAnyArray } from 'is-any-array';\n/**\n * Checks if the input is a non-empty array of numbers.\n * Only checks the first element.\n * @param input - Array to check.\n * @param options - Additional checks.\n */\nexport function xCheck(input, options = {}) {\n    const { minLength } = options;\n    if (!isAnyArray(input)) {\n        throw new TypeError('input must be an array');\n    }\n    if (input.length === 0) {\n        throw new TypeError('input must not be empty');\n    }\n    if (typeof input[0] !== 'number') {\n        throw new TypeError('input must contain numbers');\n    }\n    if (minLength && input.length < minLength) {\n        throw new Error(`input must have a length of at least ${minLength}`);\n    }\n}\n//# sourceMappingURL=xCheck.js.map","/**\n * Returns the closest index of a `target`\n * @param array - array of numbers\n * @param target - target\n * @param options\n * @returns - closest index\n */\nexport function xFindClosestIndex(array, target, options = {}) {\n    const { sorted = true } = options;\n    if (sorted) {\n        let low = 0;\n        let high = array.length - 1;\n        let middle = 0;\n        while (high - low > 1) {\n            middle = low + ((high - low) >> 1);\n            if (array[middle] < target) {\n                low = middle;\n            }\n            else if (array[middle] > target) {\n                high = middle;\n            }\n            else {\n                return middle;\n            }\n        }\n        if (low < array.length - 1) {\n            if (Math.abs(target - array[low]) < Math.abs(array[low + 1] - target)) {\n                return low;\n            }\n            else {\n                return low + 1;\n            }\n        }\n        else {\n            return low;\n        }\n    }\n    else {\n        let index = 0;\n        let diff = Number.POSITIVE_INFINITY;\n        for (let i = 0; i < array.length; i++) {\n            const currentDiff = Math.abs(array[i] - target);\n            if (currentDiff < diff) {\n                diff = currentDiff;\n                index = i;\n            }\n        }\n        return index;\n    }\n}\n//# sourceMappingURL=xFindClosestIndex.js.map","import { xFindClosestIndex } from './xFindClosestIndex';\n/**\n * Returns an object with {fromIndex, toIndex} for a specific from / to\n * @param x - array of numbers\n * @param options - Options\n */\nexport function xGetFromToIndex(x, options = {}) {\n    let { fromIndex, toIndex } = options;\n    const { from, to } = options;\n    if (fromIndex === undefined) {\n        if (from !== undefined) {\n            fromIndex = xFindClosestIndex(x, from);\n        }\n        else {\n            fromIndex = 0;\n        }\n    }\n    if (toIndex === undefined) {\n        if (to !== undefined) {\n            toIndex = xFindClosestIndex(x, to);\n        }\n        else {\n            toIndex = x.length - 1;\n        }\n    }\n    if (fromIndex < 0)\n        fromIndex = 0;\n    if (toIndex < 0)\n        toIndex = 0;\n    if (fromIndex >= x.length)\n        fromIndex = x.length - 1;\n    if (toIndex >= x.length)\n        toIndex = x.length - 1;\n    if (fromIndex > toIndex)\n        [fromIndex, toIndex] = [toIndex, fromIndex];\n    return { fromIndex, toIndex };\n}\n//# sourceMappingURL=xGetFromToIndex.js.map","import { xCheck } from './xCheck';\nimport { xGetFromToIndex } from './xGetFromToIndex';\nexport function xAbsoluteSum(array, options = {}) {\n    xCheck(array);\n    const { fromIndex, toIndex } = xGetFromToIndex(array, options);\n    let sum = 0;\n    for (let i = fromIndex; i <= toIndex; i++) {\n        sum += Math.abs(array[i]);\n    }\n    return sum;\n}\n//# sourceMappingURL=xAbsoluteSum.js.map","import { isAnyArray } from 'is-any-array';\n/**\n * This function xAdd the first array by the second array or a constant value to each element of the first array\n * @param array1 - the first array\n * @param array2 - the second array or number\n * @returns the result of the addition\n */\nexport function xAdd(array1, array2) {\n    let isConstant = false;\n    let constant = 0;\n    if (isAnyArray(array2)) {\n        if (array1.length !== array2.length) {\n            throw new Error('size of array1 and array2 must be identical');\n        }\n    }\n    else {\n        isConstant = true;\n        constant = array2;\n    }\n    const array3 = new Float64Array(array1.length);\n    if (isConstant) {\n        for (let i = 0; i < array1.length; i++) {\n            array3[i] = array1[i] + constant;\n        }\n    }\n    else {\n        for (let i = 0; i < array1.length; i++) {\n            array3[i] = array1[i] + array2[i];\n        }\n    }\n    return array3;\n}\n//# sourceMappingURL=xAdd.js.map","/**\n * Will apply a function on each element of the array described as a string\n * By default we will use as variable 'x'\n * In front of sequence of lowercase we will add 'Math.'. This allows to write\n * `sin(x) + cos(x)` and it will be replace internally by (x) => (Math.sin(x) + Math.cos(x))\n * @param array\n * @param options\n * @returns\n */\nexport function xApplyFunctionStr(array, options = {}) {\n    const { variableLabel = 'x', fctString = variableLabel } = options;\n    const fct = new Function(variableLabel, `return Number(${fctString\n        .replaceAll(/(?<before>^|\\W)(?<after>[\\da-z]{2,}\\()/g, '$<before>Math.$<after>')\n        .replaceAll('Math.Math', 'Math')})`);\n    const toReturn = Float64Array.from(array);\n    for (let i = 0; i < array.length; i++) {\n        toReturn[i] = fct(array[i]);\n        if (Number.isNaN(toReturn[i])) {\n            throw new Error(`The callback ${fctString} does not return a number: ${array[i]}`);\n        }\n    }\n    return toReturn;\n}\n//# sourceMappingURL=xApplyFunctionStr.js.map","import { isAnyArray } from 'is-any-array';\nimport { getOutputArray } from './getOutputArray';\n/**\n * This function xMultiply the first array by the second array or a constant value to each element of the first array\n * @param array1 - first array\n * @param array2 - second array\n * @param options - options\n */\nexport function xMultiply(array1, array2, options = {}) {\n    let isConstant = false;\n    let constant = 0;\n    if (isAnyArray(array2)) {\n        if (array1.length !== array2.length) {\n            throw new Error('size of array1 and array2 must be identical');\n        }\n    }\n    else {\n        isConstant = true;\n        constant = Number(array2);\n    }\n    const array3 = getOutputArray(options.output, array1.length);\n    if (isConstant) {\n        for (let i = 0; i < array1.length; i++) {\n            array3[i] = array1[i] * constant;\n        }\n    }\n    else {\n        for (let i = 0; i < array1.length; i++) {\n            array3[i] = array1[i] * array2[i];\n        }\n    }\n    return array3;\n}\n//# sourceMappingURL=xMultiply.js.map","import { xMultiply } from './xMultiply';\n/**\n * Dot product between two arrays.\n * @param A - First array.\n * @param B - Second array.\n */\nexport function xDotProduct(A, B) {\n    const g = xMultiply(A, B);\n    let result = 0;\n    for (let i = 0; i < A.length; i++) {\n        result += g[i];\n    }\n    return result;\n}\n//# sourceMappingURL=xDotProduct.js.map","import { xDotProduct } from './xDotProduct';\n/**\n * Calculates the cross-correlation between 2 arrays\n * @param A - fixed array\n * @param B - sweeping array\n * @param options - Options\n */\nexport function xCrossCorrelation(A, B, options = {}) {\n    const { tau = 1, lag = A.length - 1 } = options;\n    const result = new Float64Array(1 + (2 * lag) / tau);\n    if (A.length === B.length) {\n        const n = B.length;\n        const g = new Float64Array(2 * n);\n        const q = new Float64Array(2 * n);\n        for (let i = 0; i < n; i++) {\n            q[n + i] = B[i];\n        }\n        for (let i = n * 2 - (tau - 1); i > 0; i -= tau) {\n            let k = 0;\n            for (let j = i; j < n * 2; j++) {\n                g[k] = q[j];\n                k++;\n            }\n            const w = [];\n            for (let l = 0; l < n; l++) {\n                w[l] = g[l];\n            }\n            result[(k - (n - lag)) / tau] = xDotProduct(A, w);\n        }\n    }\n    return result;\n}\n//# sourceMappingURL=xCrossCorrelation.js.map","import { xCrossCorrelation } from './xCrossCorrelation';\n/**\n * Calculates the auto-correlation of an array\n * @param A - the array for which to calculate the auto-correlation\n * @param options - Options\n */\nexport function xAutoCorrelation(A, options = {}) {\n    return xCrossCorrelation(A, A, options);\n}\n//# sourceMappingURL=xAutoCorrelation.js.map","import { xCheck } from './xCheck';\n/**\n * Calculating the box plot of the array\n * This function will interpolate the values and use the inclusive algorithm\n * @param array - data\n * @param options\n * @returns - q1, median, q3, min, max\n */\nexport function xBoxPlot(array) {\n    xCheck(array);\n    // duplicate the array to avoid modifying the original one\n    // and sort typed array that is much faster than sorting a normal array\n    array = Float64Array.from(array).sort();\n    const posQ1 = (array.length - 1) / 4;\n    const posQ3 = (array.length - 1) * (3 / 4);\n    const medianPos = (array.length - 1) / 2;\n    const q1MinProportion = posQ1 % 1;\n    const q3MinProportion = posQ3 % 1;\n    const medianMinProportion = medianPos % 1;\n    return {\n        min: array[0],\n        q1: q1MinProportion === 0\n            ? array[posQ1]\n            : array[posQ1 >> 0] * (1 - q1MinProportion) +\n                array[(posQ1 >> 0) + 1] * q1MinProportion,\n        median: medianMinProportion === 0\n            ? array[medianPos]\n            : array[medianPos >> 0] * (1 - medianMinProportion) +\n                array[(medianPos >> 0) + 1] * medianMinProportion,\n        q3: q3MinProportion === 0\n            ? array[posQ3]\n            : array[posQ3 >> 0] * (1 - q3MinProportion) +\n                array[(posQ3 >> 0) + 1] * q3MinProportion,\n        max: array.at(-1),\n    };\n}\n//# sourceMappingURL=xBoxPlot.js.map","import { xBoxPlot } from './xBoxPlot';\n/**\n * Calculating the box plot of the array with outliers\n * Values are outliers if they are below Q1 - 1.5 * IQR or above Q3 + 1.5 * IQR\n * @param array - data\n * @returns - q1, median, q3, min, max, outliers\n */\nexport function xBoxPlotWithOutliers(array) {\n    const boxPlot = xBoxPlot(array);\n    const iqr = boxPlot.q3 - boxPlot.q1;\n    const lowerWhisker = boxPlot.q1 - 1.5 * iqr;\n    const upperWhisker = boxPlot.q3 + 1.5 * iqr;\n    const outliers = [];\n    let minWhisker = boxPlot.median;\n    let maxWhisker = boxPlot.median;\n    for (const value of array) {\n        if (value < lowerWhisker || value > upperWhisker) {\n            outliers.push(value);\n        }\n        else {\n            if (value < minWhisker)\n                minWhisker = value;\n            if (value > maxWhisker)\n                maxWhisker = value;\n        }\n    }\n    const info = {\n        ...boxPlot,\n        lowerWhisker,\n        upperWhisker,\n        minWhisker,\n        maxWhisker,\n        iqr,\n        outliers,\n    };\n    return info;\n}\n//# sourceMappingURL=xBoxPlotWithOutliers.js.map","/**\n * Check that two arrays have the same length.\n * @param array1 - First array.\n * @param array2 - Second array.\n */\nexport function xCheckLengths(array1, array2) {\n    if (array1.length !== array2.length) {\n        throw new TypeError('length of array1 and array2 must be identical');\n    }\n}\n//# sourceMappingURL=xCheckLengths.js.map","/**\n * Calculates the correlation between 2 vectors\n * https://en.wikipedia.org/wiki/Correlation_and_dependence\n * @param A - first array\n * @param B - sencond array\n */\nexport function xCorrelation(A, B) {\n    const n = A.length;\n    let sumA = 0;\n    let sumA2 = 0;\n    let sumB = 0;\n    let sumB2 = 0;\n    let sumAB = 0;\n    for (let i = 0; i < n; i++) {\n        const a = A[i];\n        const b = B[i];\n        sumA += a;\n        sumA2 += a ** 2;\n        sumB += b;\n        sumB2 += b ** 2;\n        sumAB += a * b;\n    }\n    return ((n * sumAB - sumA * sumB) /\n        (Math.sqrt(n * sumA2 - sumA ** 2) * Math.sqrt(n * sumB2 - sumB ** 2)));\n}\n//# sourceMappingURL=xCorrelation.js.map","import { isAnyArray } from 'is-any-array';\n\nfunction max(input) {\n  var options = arguments.length > 1 && arguments[1] !== undefined ? arguments[1] : {};\n\n  if (!isAnyArray(input)) {\n    throw new TypeError('input must be an array');\n  }\n\n  if (input.length === 0) {\n    throw new TypeError('input must not be empty');\n  }\n\n  var _options$fromIndex = options.fromIndex,\n      fromIndex = _options$fromIndex === void 0 ? 0 : _options$fromIndex,\n      _options$toIndex = options.toIndex,\n      toIndex = _options$toIndex === void 0 ? input.length : _options$toIndex;\n\n  if (fromIndex < 0 || fromIndex >= input.length || !Number.isInteger(fromIndex)) {\n    throw new Error('fromIndex must be a positive integer smaller than length');\n  }\n\n  if (toIndex <= fromIndex || toIndex > input.length || !Number.isInteger(toIndex)) {\n    throw new Error('toIndex must be an integer greater than fromIndex and at most equal to length');\n  }\n\n  var maxValue = input[fromIndex];\n\n  for (var i = fromIndex + 1; i < toIndex; i++) {\n    if (input[i] > maxValue) maxValue = input[i];\n  }\n\n  return maxValue;\n}\n\nexport { max as default };\n","import { isAnyArray } from 'is-any-array';\n\nfunction min(input) {\n  var options = arguments.length > 1 && arguments[1] !== undefined ? arguments[1] : {};\n\n  if (!isAnyArray(input)) {\n    throw new TypeError('input must be an array');\n  }\n\n  if (input.length === 0) {\n    throw new TypeError('input must not be empty');\n  }\n\n  var _options$fromIndex = options.fromIndex,\n      fromIndex = _options$fromIndex === void 0 ? 0 : _options$fromIndex,\n      _options$toIndex = options.toIndex,\n      toIndex = _options$toIndex === void 0 ? input.length : _options$toIndex;\n\n  if (fromIndex < 0 || fromIndex >= input.length || !Number.isInteger(fromIndex)) {\n    throw new Error('fromIndex must be a positive integer smaller than length');\n  }\n\n  if (toIndex <= fromIndex || toIndex > input.length || !Number.isInteger(toIndex)) {\n    throw new Error('toIndex must be an integer greater than fromIndex and at most equal to length');\n  }\n\n  var minValue = input[fromIndex];\n\n  for (var i = fromIndex + 1; i < toIndex; i++) {\n    if (input[i] < minValue) minValue = input[i];\n  }\n\n  return minValue;\n}\n\nexport { min as default };\n","import { isAnyArray } from 'is-any-array';\nimport max from 'ml-array-max';\nimport min from 'ml-array-min';\n\nfunction rescale(input) {\n  var options = arguments.length > 1 && arguments[1] !== undefined ? arguments[1] : {};\n\n  if (!isAnyArray(input)) {\n    throw new TypeError('input must be an array');\n  } else if (input.length === 0) {\n    throw new TypeError('input must not be empty');\n  }\n\n  var output;\n\n  if (options.output !== undefined) {\n    if (!isAnyArray(options.output)) {\n      throw new TypeError('output option must be an array if specified');\n    }\n\n    output = options.output;\n  } else {\n    output = new Array(input.length);\n  }\n\n  var currentMin = min(input);\n  var currentMax = max(input);\n\n  if (currentMin === currentMax) {\n    throw new RangeError('minimum and maximum input values are equal. Cannot rescale a constant array');\n  }\n\n  var _options$min = options.min,\n      minValue = _options$min === void 0 ? options.autoMinMax ? currentMin : 0 : _options$min,\n      _options$max = options.max,\n      maxValue = _options$max === void 0 ? options.autoMinMax ? currentMax : 1 : _options$max;\n\n  if (minValue >= maxValue) {\n    throw new RangeError('min option must be smaller than max option');\n  }\n\n  var factor = (maxValue - minValue) / (currentMax - currentMin);\n\n  for (var i = 0; i < input.length; i++) {\n    output[i] = (input[i] - currentMin) * factor + minValue;\n  }\n\n  return output;\n}\n\nexport { rescale as default };\n","'use strict';\n\nObject.defineProperty(exports, '__esModule', { value: true });\n\nvar isAnyArray = require('is-any-array');\nvar rescale = require('ml-array-rescale');\n\nconst indent = ' '.repeat(2);\nconst indentData = ' '.repeat(4);\n\n/**\n * @this {Matrix}\n * @returns {string}\n */\nfunction inspectMatrix() {\n  return inspectMatrixWithOptions(this);\n}\n\nfunction inspectMatrixWithOptions(matrix, options = {}) {\n  const {\n    maxRows = 15,\n    maxColumns = 10,\n    maxNumSize = 8,\n    padMinus = 'auto',\n  } = options;\n  return `${matrix.constructor.name} {\n${indent}[\n${indentData}${inspectData(matrix, maxRows, maxColumns, maxNumSize, padMinus)}\n${indent}]\n${indent}rows: ${matrix.rows}\n${indent}columns: ${matrix.columns}\n}`;\n}\n\nfunction inspectData(matrix, maxRows, maxColumns, maxNumSize, padMinus) {\n  const { rows, columns } = matrix;\n  const maxI = Math.min(rows, maxRows);\n  const maxJ = Math.min(columns, maxColumns);\n  const result = [];\n\n  if (padMinus === 'auto') {\n    padMinus = false;\n    loop: for (let i = 0; i < maxI; i++) {\n      for (let j = 0; j < maxJ; j++) {\n        if (matrix.get(i, j) < 0) {\n          padMinus = true;\n          break loop;\n        }\n      }\n    }\n  }\n\n  for (let i = 0; i < maxI; i++) {\n    let line = [];\n    for (let j = 0; j < maxJ; j++) {\n      line.push(formatNumber(matrix.get(i, j), maxNumSize, padMinus));\n    }\n    result.push(`${line.join(' ')}`);\n  }\n  if (maxJ !== columns) {\n    result[result.length - 1] += ` ... ${columns - maxColumns} more columns`;\n  }\n  if (maxI !== rows) {\n    result.push(`... ${rows - maxRows} more rows`);\n  }\n  return result.join(`\\n${indentData}`);\n}\n\nfunction formatNumber(num, maxNumSize, padMinus) {\n  return (\n    num >= 0 && padMinus\n      ? ` ${formatNumber2(num, maxNumSize - 1)}`\n      : formatNumber2(num, maxNumSize)\n  ).padEnd(maxNumSize);\n}\n\nfunction formatNumber2(num, len) {\n  // small.length numbers should be as is\n  let str = num.toString();\n  if (str.length <= len) return str;\n\n  // (7)'0.00123' is better then (7)'1.23e-2'\n  // (8)'0.000123' is worse then (7)'1.23e-3',\n  let fix = num.toFixed(len);\n  if (fix.length > len) {\n    fix = num.toFixed(Math.max(0, len - (fix.length - len)));\n  }\n  if (\n    fix.length <= len &&\n    !fix.startsWith('0.000') &&\n    !fix.startsWith('-0.000')\n  ) {\n    return fix;\n  }\n\n  // well, if it's still too long the user should've used longer numbers\n  let exp = num.toExponential(len);\n  if (exp.length > len) {\n    exp = num.toExponential(Math.max(0, len - (exp.length - len)));\n  }\n  return exp.slice(0);\n}\n\nfunction installMathOperations(AbstractMatrix, Matrix) {\n  AbstractMatrix.prototype.add = function add(value) {\n    if (typeof value === 'number') return this.addS(value);\n    return this.addM(value);\n  };\n\n  AbstractMatrix.prototype.addS = function addS(value) {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, this.get(i, j) + value);\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.prototype.addM = function addM(matrix) {\n    matrix = Matrix.checkMatrix(matrix);\n    if (this.rows !== matrix.rows ||\n      this.columns !== matrix.columns) {\n      throw new RangeError('Matrices dimensions must be equal');\n    }\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, this.get(i, j) + matrix.get(i, j));\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.add = function add(matrix, value) {\n    const newMatrix = new Matrix(matrix);\n    return newMatrix.add(value);\n  };\n\n  AbstractMatrix.prototype.sub = function sub(value) {\n    if (typeof value === 'number') return this.subS(value);\n    return this.subM(value);\n  };\n\n  AbstractMatrix.prototype.subS = function subS(value) {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, this.get(i, j) - value);\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.prototype.subM = function subM(matrix) {\n    matrix = Matrix.checkMatrix(matrix);\n    if (this.rows !== matrix.rows ||\n      this.columns !== matrix.columns) {\n      throw new RangeError('Matrices dimensions must be equal');\n    }\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, this.get(i, j) - matrix.get(i, j));\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.sub = function sub(matrix, value) {\n    const newMatrix = new Matrix(matrix);\n    return newMatrix.sub(value);\n  };\n  AbstractMatrix.prototype.subtract = AbstractMatrix.prototype.sub;\n  AbstractMatrix.prototype.subtractS = AbstractMatrix.prototype.subS;\n  AbstractMatrix.prototype.subtractM = AbstractMatrix.prototype.subM;\n  AbstractMatrix.subtract = AbstractMatrix.sub;\n\n  AbstractMatrix.prototype.mul = function mul(value) {\n    if (typeof value === 'number') return this.mulS(value);\n    return this.mulM(value);\n  };\n\n  AbstractMatrix.prototype.mulS = function mulS(value) {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, this.get(i, j) * value);\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.prototype.mulM = function mulM(matrix) {\n    matrix = Matrix.checkMatrix(matrix);\n    if (this.rows !== matrix.rows ||\n      this.columns !== matrix.columns) {\n      throw new RangeError('Matrices dimensions must be equal');\n    }\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, this.get(i, j) * matrix.get(i, j));\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.mul = function mul(matrix, value) {\n    const newMatrix = new Matrix(matrix);\n    return newMatrix.mul(value);\n  };\n  AbstractMatrix.prototype.multiply = AbstractMatrix.prototype.mul;\n  AbstractMatrix.prototype.multiplyS = AbstractMatrix.prototype.mulS;\n  AbstractMatrix.prototype.multiplyM = AbstractMatrix.prototype.mulM;\n  AbstractMatrix.multiply = AbstractMatrix.mul;\n\n  AbstractMatrix.prototype.div = function div(value) {\n    if (typeof value === 'number') return this.divS(value);\n    return this.divM(value);\n  };\n\n  AbstractMatrix.prototype.divS = function divS(value) {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, this.get(i, j) / value);\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.prototype.divM = function divM(matrix) {\n    matrix = Matrix.checkMatrix(matrix);\n    if (this.rows !== matrix.rows ||\n      this.columns !== matrix.columns) {\n      throw new RangeError('Matrices dimensions must be equal');\n    }\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, this.get(i, j) / matrix.get(i, j));\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.div = function div(matrix, value) {\n    const newMatrix = new Matrix(matrix);\n    return newMatrix.div(value);\n  };\n  AbstractMatrix.prototype.divide = AbstractMatrix.prototype.div;\n  AbstractMatrix.prototype.divideS = AbstractMatrix.prototype.divS;\n  AbstractMatrix.prototype.divideM = AbstractMatrix.prototype.divM;\n  AbstractMatrix.divide = AbstractMatrix.div;\n\n  AbstractMatrix.prototype.mod = function mod(value) {\n    if (typeof value === 'number') return this.modS(value);\n    return this.modM(value);\n  };\n\n  AbstractMatrix.prototype.modS = function modS(value) {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, this.get(i, j) % value);\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.prototype.modM = function modM(matrix) {\n    matrix = Matrix.checkMatrix(matrix);\n    if (this.rows !== matrix.rows ||\n      this.columns !== matrix.columns) {\n      throw new RangeError('Matrices dimensions must be equal');\n    }\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, this.get(i, j) % matrix.get(i, j));\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.mod = function mod(matrix, value) {\n    const newMatrix = new Matrix(matrix);\n    return newMatrix.mod(value);\n  };\n  AbstractMatrix.prototype.modulus = AbstractMatrix.prototype.mod;\n  AbstractMatrix.prototype.modulusS = AbstractMatrix.prototype.modS;\n  AbstractMatrix.prototype.modulusM = AbstractMatrix.prototype.modM;\n  AbstractMatrix.modulus = AbstractMatrix.mod;\n\n  AbstractMatrix.prototype.and = function and(value) {\n    if (typeof value === 'number') return this.andS(value);\n    return this.andM(value);\n  };\n\n  AbstractMatrix.prototype.andS = function andS(value) {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, this.get(i, j) & value);\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.prototype.andM = function andM(matrix) {\n    matrix = Matrix.checkMatrix(matrix);\n    if (this.rows !== matrix.rows ||\n      this.columns !== matrix.columns) {\n      throw new RangeError('Matrices dimensions must be equal');\n    }\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, this.get(i, j) & matrix.get(i, j));\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.and = function and(matrix, value) {\n    const newMatrix = new Matrix(matrix);\n    return newMatrix.and(value);\n  };\n\n  AbstractMatrix.prototype.or = function or(value) {\n    if (typeof value === 'number') return this.orS(value);\n    return this.orM(value);\n  };\n\n  AbstractMatrix.prototype.orS = function orS(value) {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, this.get(i, j) | value);\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.prototype.orM = function orM(matrix) {\n    matrix = Matrix.checkMatrix(matrix);\n    if (this.rows !== matrix.rows ||\n      this.columns !== matrix.columns) {\n      throw new RangeError('Matrices dimensions must be equal');\n    }\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, this.get(i, j) | matrix.get(i, j));\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.or = function or(matrix, value) {\n    const newMatrix = new Matrix(matrix);\n    return newMatrix.or(value);\n  };\n\n  AbstractMatrix.prototype.xor = function xor(value) {\n    if (typeof value === 'number') return this.xorS(value);\n    return this.xorM(value);\n  };\n\n  AbstractMatrix.prototype.xorS = function xorS(value) {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, this.get(i, j) ^ value);\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.prototype.xorM = function xorM(matrix) {\n    matrix = Matrix.checkMatrix(matrix);\n    if (this.rows !== matrix.rows ||\n      this.columns !== matrix.columns) {\n      throw new RangeError('Matrices dimensions must be equal');\n    }\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, this.get(i, j) ^ matrix.get(i, j));\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.xor = function xor(matrix, value) {\n    const newMatrix = new Matrix(matrix);\n    return newMatrix.xor(value);\n  };\n\n  AbstractMatrix.prototype.leftShift = function leftShift(value) {\n    if (typeof value === 'number') return this.leftShiftS(value);\n    return this.leftShiftM(value);\n  };\n\n  AbstractMatrix.prototype.leftShiftS = function leftShiftS(value) {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, this.get(i, j) << value);\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.prototype.leftShiftM = function leftShiftM(matrix) {\n    matrix = Matrix.checkMatrix(matrix);\n    if (this.rows !== matrix.rows ||\n      this.columns !== matrix.columns) {\n      throw new RangeError('Matrices dimensions must be equal');\n    }\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, this.get(i, j) << matrix.get(i, j));\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.leftShift = function leftShift(matrix, value) {\n    const newMatrix = new Matrix(matrix);\n    return newMatrix.leftShift(value);\n  };\n\n  AbstractMatrix.prototype.signPropagatingRightShift = function signPropagatingRightShift(value) {\n    if (typeof value === 'number') return this.signPropagatingRightShiftS(value);\n    return this.signPropagatingRightShiftM(value);\n  };\n\n  AbstractMatrix.prototype.signPropagatingRightShiftS = function signPropagatingRightShiftS(value) {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, this.get(i, j) >> value);\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.prototype.signPropagatingRightShiftM = function signPropagatingRightShiftM(matrix) {\n    matrix = Matrix.checkMatrix(matrix);\n    if (this.rows !== matrix.rows ||\n      this.columns !== matrix.columns) {\n      throw new RangeError('Matrices dimensions must be equal');\n    }\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, this.get(i, j) >> matrix.get(i, j));\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.signPropagatingRightShift = function signPropagatingRightShift(matrix, value) {\n    const newMatrix = new Matrix(matrix);\n    return newMatrix.signPropagatingRightShift(value);\n  };\n\n  AbstractMatrix.prototype.rightShift = function rightShift(value) {\n    if (typeof value === 'number') return this.rightShiftS(value);\n    return this.rightShiftM(value);\n  };\n\n  AbstractMatrix.prototype.rightShiftS = function rightShiftS(value) {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, this.get(i, j) >>> value);\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.prototype.rightShiftM = function rightShiftM(matrix) {\n    matrix = Matrix.checkMatrix(matrix);\n    if (this.rows !== matrix.rows ||\n      this.columns !== matrix.columns) {\n      throw new RangeError('Matrices dimensions must be equal');\n    }\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, this.get(i, j) >>> matrix.get(i, j));\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.rightShift = function rightShift(matrix, value) {\n    const newMatrix = new Matrix(matrix);\n    return newMatrix.rightShift(value);\n  };\n  AbstractMatrix.prototype.zeroFillRightShift = AbstractMatrix.prototype.rightShift;\n  AbstractMatrix.prototype.zeroFillRightShiftS = AbstractMatrix.prototype.rightShiftS;\n  AbstractMatrix.prototype.zeroFillRightShiftM = AbstractMatrix.prototype.rightShiftM;\n  AbstractMatrix.zeroFillRightShift = AbstractMatrix.rightShift;\n\n  AbstractMatrix.prototype.not = function not() {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, ~(this.get(i, j)));\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.not = function not(matrix) {\n    const newMatrix = new Matrix(matrix);\n    return newMatrix.not();\n  };\n\n  AbstractMatrix.prototype.abs = function abs() {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, Math.abs(this.get(i, j)));\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.abs = function abs(matrix) {\n    const newMatrix = new Matrix(matrix);\n    return newMatrix.abs();\n  };\n\n  AbstractMatrix.prototype.acos = function acos() {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, Math.acos(this.get(i, j)));\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.acos = function acos(matrix) {\n    const newMatrix = new Matrix(matrix);\n    return newMatrix.acos();\n  };\n\n  AbstractMatrix.prototype.acosh = function acosh() {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, Math.acosh(this.get(i, j)));\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.acosh = function acosh(matrix) {\n    const newMatrix = new Matrix(matrix);\n    return newMatrix.acosh();\n  };\n\n  AbstractMatrix.prototype.asin = function asin() {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, Math.asin(this.get(i, j)));\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.asin = function asin(matrix) {\n    const newMatrix = new Matrix(matrix);\n    return newMatrix.asin();\n  };\n\n  AbstractMatrix.prototype.asinh = function asinh() {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, Math.asinh(this.get(i, j)));\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.asinh = function asinh(matrix) {\n    const newMatrix = new Matrix(matrix);\n    return newMatrix.asinh();\n  };\n\n  AbstractMatrix.prototype.atan = function atan() {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, Math.atan(this.get(i, j)));\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.atan = function atan(matrix) {\n    const newMatrix = new Matrix(matrix);\n    return newMatrix.atan();\n  };\n\n  AbstractMatrix.prototype.atanh = function atanh() {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, Math.atanh(this.get(i, j)));\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.atanh = function atanh(matrix) {\n    const newMatrix = new Matrix(matrix);\n    return newMatrix.atanh();\n  };\n\n  AbstractMatrix.prototype.cbrt = function cbrt() {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, Math.cbrt(this.get(i, j)));\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.cbrt = function cbrt(matrix) {\n    const newMatrix = new Matrix(matrix);\n    return newMatrix.cbrt();\n  };\n\n  AbstractMatrix.prototype.ceil = function ceil() {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, Math.ceil(this.get(i, j)));\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.ceil = function ceil(matrix) {\n    const newMatrix = new Matrix(matrix);\n    return newMatrix.ceil();\n  };\n\n  AbstractMatrix.prototype.clz32 = function clz32() {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, Math.clz32(this.get(i, j)));\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.clz32 = function clz32(matrix) {\n    const newMatrix = new Matrix(matrix);\n    return newMatrix.clz32();\n  };\n\n  AbstractMatrix.prototype.cos = function cos() {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, Math.cos(this.get(i, j)));\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.cos = function cos(matrix) {\n    const newMatrix = new Matrix(matrix);\n    return newMatrix.cos();\n  };\n\n  AbstractMatrix.prototype.cosh = function cosh() {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, Math.cosh(this.get(i, j)));\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.cosh = function cosh(matrix) {\n    const newMatrix = new Matrix(matrix);\n    return newMatrix.cosh();\n  };\n\n  AbstractMatrix.prototype.exp = function exp() {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, Math.exp(this.get(i, j)));\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.exp = function exp(matrix) {\n    const newMatrix = new Matrix(matrix);\n    return newMatrix.exp();\n  };\n\n  AbstractMatrix.prototype.expm1 = function expm1() {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, Math.expm1(this.get(i, j)));\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.expm1 = function expm1(matrix) {\n    const newMatrix = new Matrix(matrix);\n    return newMatrix.expm1();\n  };\n\n  AbstractMatrix.prototype.floor = function floor() {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, Math.floor(this.get(i, j)));\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.floor = function floor(matrix) {\n    const newMatrix = new Matrix(matrix);\n    return newMatrix.floor();\n  };\n\n  AbstractMatrix.prototype.fround = function fround() {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, Math.fround(this.get(i, j)));\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.fround = function fround(matrix) {\n    const newMatrix = new Matrix(matrix);\n    return newMatrix.fround();\n  };\n\n  AbstractMatrix.prototype.log = function log() {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, Math.log(this.get(i, j)));\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.log = function log(matrix) {\n    const newMatrix = new Matrix(matrix);\n    return newMatrix.log();\n  };\n\n  AbstractMatrix.prototype.log1p = function log1p() {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, Math.log1p(this.get(i, j)));\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.log1p = function log1p(matrix) {\n    const newMatrix = new Matrix(matrix);\n    return newMatrix.log1p();\n  };\n\n  AbstractMatrix.prototype.log10 = function log10() {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, Math.log10(this.get(i, j)));\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.log10 = function log10(matrix) {\n    const newMatrix = new Matrix(matrix);\n    return newMatrix.log10();\n  };\n\n  AbstractMatrix.prototype.log2 = function log2() {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, Math.log2(this.get(i, j)));\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.log2 = function log2(matrix) {\n    const newMatrix = new Matrix(matrix);\n    return newMatrix.log2();\n  };\n\n  AbstractMatrix.prototype.round = function round() {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, Math.round(this.get(i, j)));\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.round = function round(matrix) {\n    const newMatrix = new Matrix(matrix);\n    return newMatrix.round();\n  };\n\n  AbstractMatrix.prototype.sign = function sign() {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, Math.sign(this.get(i, j)));\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.sign = function sign(matrix) {\n    const newMatrix = new Matrix(matrix);\n    return newMatrix.sign();\n  };\n\n  AbstractMatrix.prototype.sin = function sin() {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, Math.sin(this.get(i, j)));\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.sin = function sin(matrix) {\n    const newMatrix = new Matrix(matrix);\n    return newMatrix.sin();\n  };\n\n  AbstractMatrix.prototype.sinh = function sinh() {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, Math.sinh(this.get(i, j)));\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.sinh = function sinh(matrix) {\n    const newMatrix = new Matrix(matrix);\n    return newMatrix.sinh();\n  };\n\n  AbstractMatrix.prototype.sqrt = function sqrt() {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, Math.sqrt(this.get(i, j)));\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.sqrt = function sqrt(matrix) {\n    const newMatrix = new Matrix(matrix);\n    return newMatrix.sqrt();\n  };\n\n  AbstractMatrix.prototype.tan = function tan() {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, Math.tan(this.get(i, j)));\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.tan = function tan(matrix) {\n    const newMatrix = new Matrix(matrix);\n    return newMatrix.tan();\n  };\n\n  AbstractMatrix.prototype.tanh = function tanh() {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, Math.tanh(this.get(i, j)));\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.tanh = function tanh(matrix) {\n    const newMatrix = new Matrix(matrix);\n    return newMatrix.tanh();\n  };\n\n  AbstractMatrix.prototype.trunc = function trunc() {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, Math.trunc(this.get(i, j)));\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.trunc = function trunc(matrix) {\n    const newMatrix = new Matrix(matrix);\n    return newMatrix.trunc();\n  };\n\n  AbstractMatrix.pow = function pow(matrix, arg0) {\n    const newMatrix = new Matrix(matrix);\n    return newMatrix.pow(arg0);\n  };\n\n  AbstractMatrix.prototype.pow = function pow(value) {\n    if (typeof value === 'number') return this.powS(value);\n    return this.powM(value);\n  };\n\n  AbstractMatrix.prototype.powS = function powS(value) {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, this.get(i, j) ** value);\n      }\n    }\n    return this;\n  };\n\n  AbstractMatrix.prototype.powM = function powM(matrix) {\n    matrix = Matrix.checkMatrix(matrix);\n    if (this.rows !== matrix.rows ||\n      this.columns !== matrix.columns) {\n      throw new RangeError('Matrices dimensions must be equal');\n    }\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, this.get(i, j) ** matrix.get(i, j));\n      }\n    }\n    return this;\n  };\n}\n\n/**\n * @private\n * Check that a row index is not out of bounds\n * @param {Matrix} matrix\n * @param {number} index\n * @param {boolean} [outer]\n */\nfunction checkRowIndex(matrix, index, outer) {\n  let max = outer ? matrix.rows : matrix.rows - 1;\n  if (index < 0 || index > max) {\n    throw new RangeError('Row index out of range');\n  }\n}\n\n/**\n * @private\n * Check that a column index is not out of bounds\n * @param {Matrix} matrix\n * @param {number} index\n * @param {boolean} [outer]\n */\nfunction checkColumnIndex(matrix, index, outer) {\n  let max = outer ? matrix.columns : matrix.columns - 1;\n  if (index < 0 || index > max) {\n    throw new RangeError('Column index out of range');\n  }\n}\n\n/**\n * @private\n * Check that the provided vector is an array with the right length\n * @param {Matrix} matrix\n * @param {Array|Matrix} vector\n * @return {Array}\n * @throws {RangeError}\n */\nfunction checkRowVector(matrix, vector) {\n  if (vector.to1DArray) {\n    vector = vector.to1DArray();\n  }\n  if (vector.length !== matrix.columns) {\n    throw new RangeError(\n      'vector size must be the same as the number of columns',\n    );\n  }\n  return vector;\n}\n\n/**\n * @private\n * Check that the provided vector is an array with the right length\n * @param {Matrix} matrix\n * @param {Array|Matrix} vector\n * @return {Array}\n * @throws {RangeError}\n */\nfunction checkColumnVector(matrix, vector) {\n  if (vector.to1DArray) {\n    vector = vector.to1DArray();\n  }\n  if (vector.length !== matrix.rows) {\n    throw new RangeError('vector size must be the same as the number of rows');\n  }\n  return vector;\n}\n\nfunction checkRowIndices(matrix, rowIndices) {\n  if (!isAnyArray.isAnyArray(rowIndices)) {\n    throw new TypeError('row indices must be an array');\n  }\n\n  for (let i = 0; i < rowIndices.length; i++) {\n    if (rowIndices[i] < 0 || rowIndices[i] >= matrix.rows) {\n      throw new RangeError('row indices are out of range');\n    }\n  }\n}\n\nfunction checkColumnIndices(matrix, columnIndices) {\n  if (!isAnyArray.isAnyArray(columnIndices)) {\n    throw new TypeError('column indices must be an array');\n  }\n\n  for (let i = 0; i < columnIndices.length; i++) {\n    if (columnIndices[i] < 0 || columnIndices[i] >= matrix.columns) {\n      throw new RangeError('column indices are out of range');\n    }\n  }\n}\n\nfunction checkRange(matrix, startRow, endRow, startColumn, endColumn) {\n  if (arguments.length !== 5) {\n    throw new RangeError('expected 4 arguments');\n  }\n  checkNumber('startRow', startRow);\n  checkNumber('endRow', endRow);\n  checkNumber('startColumn', startColumn);\n  checkNumber('endColumn', endColumn);\n  if (\n    startRow > endRow ||\n    startColumn > endColumn ||\n    startRow < 0 ||\n    startRow >= matrix.rows ||\n    endRow < 0 ||\n    endRow >= matrix.rows ||\n    startColumn < 0 ||\n    startColumn >= matrix.columns ||\n    endColumn < 0 ||\n    endColumn >= matrix.columns\n  ) {\n    throw new RangeError('Submatrix indices are out of range');\n  }\n}\n\nfunction newArray(length, value = 0) {\n  let array = [];\n  for (let i = 0; i < length; i++) {\n    array.push(value);\n  }\n  return array;\n}\n\nfunction checkNumber(name, value) {\n  if (typeof value !== 'number') {\n    throw new TypeError(`${name} must be a number`);\n  }\n}\n\nfunction checkNonEmpty(matrix) {\n  if (matrix.isEmpty()) {\n    throw new Error('Empty matrix has no elements to index');\n  }\n}\n\nfunction sumByRow(matrix) {\n  let sum = newArray(matrix.rows);\n  for (let i = 0; i < matrix.rows; ++i) {\n    for (let j = 0; j < matrix.columns; ++j) {\n      sum[i] += matrix.get(i, j);\n    }\n  }\n  return sum;\n}\n\nfunction sumByColumn(matrix) {\n  let sum = newArray(matrix.columns);\n  for (let i = 0; i < matrix.rows; ++i) {\n    for (let j = 0; j < matrix.columns; ++j) {\n      sum[j] += matrix.get(i, j);\n    }\n  }\n  return sum;\n}\n\nfunction sumAll(matrix) {\n  let v = 0;\n  for (let i = 0; i < matrix.rows; i++) {\n    for (let j = 0; j < matrix.columns; j++) {\n      v += matrix.get(i, j);\n    }\n  }\n  return v;\n}\n\nfunction productByRow(matrix) {\n  let sum = newArray(matrix.rows, 1);\n  for (let i = 0; i < matrix.rows; ++i) {\n    for (let j = 0; j < matrix.columns; ++j) {\n      sum[i] *= matrix.get(i, j);\n    }\n  }\n  return sum;\n}\n\nfunction productByColumn(matrix) {\n  let sum = newArray(matrix.columns, 1);\n  for (let i = 0; i < matrix.rows; ++i) {\n    for (let j = 0; j < matrix.columns; ++j) {\n      sum[j] *= matrix.get(i, j);\n    }\n  }\n  return sum;\n}\n\nfunction productAll(matrix) {\n  let v = 1;\n  for (let i = 0; i < matrix.rows; i++) {\n    for (let j = 0; j < matrix.columns; j++) {\n      v *= matrix.get(i, j);\n    }\n  }\n  return v;\n}\n\nfunction varianceByRow(matrix, unbiased, mean) {\n  const rows = matrix.rows;\n  const cols = matrix.columns;\n  const variance = [];\n\n  for (let i = 0; i < rows; i++) {\n    let sum1 = 0;\n    let sum2 = 0;\n    let x = 0;\n    for (let j = 0; j < cols; j++) {\n      x = matrix.get(i, j) - mean[i];\n      sum1 += x;\n      sum2 += x * x;\n    }\n    if (unbiased) {\n      variance.push((sum2 - (sum1 * sum1) / cols) / (cols - 1));\n    } else {\n      variance.push((sum2 - (sum1 * sum1) / cols) / cols);\n    }\n  }\n  return variance;\n}\n\nfunction varianceByColumn(matrix, unbiased, mean) {\n  const rows = matrix.rows;\n  const cols = matrix.columns;\n  const variance = [];\n\n  for (let j = 0; j < cols; j++) {\n    let sum1 = 0;\n    let sum2 = 0;\n    let x = 0;\n    for (let i = 0; i < rows; i++) {\n      x = matrix.get(i, j) - mean[j];\n      sum1 += x;\n      sum2 += x * x;\n    }\n    if (unbiased) {\n      variance.push((sum2 - (sum1 * sum1) / rows) / (rows - 1));\n    } else {\n      variance.push((sum2 - (sum1 * sum1) / rows) / rows);\n    }\n  }\n  return variance;\n}\n\nfunction varianceAll(matrix, unbiased, mean) {\n  const rows = matrix.rows;\n  const cols = matrix.columns;\n  const size = rows * cols;\n\n  let sum1 = 0;\n  let sum2 = 0;\n  let x = 0;\n  for (let i = 0; i < rows; i++) {\n    for (let j = 0; j < cols; j++) {\n      x = matrix.get(i, j) - mean;\n      sum1 += x;\n      sum2 += x * x;\n    }\n  }\n  if (unbiased) {\n    return (sum2 - (sum1 * sum1) / size) / (size - 1);\n  } else {\n    return (sum2 - (sum1 * sum1) / size) / size;\n  }\n}\n\nfunction centerByRow(matrix, mean) {\n  for (let i = 0; i < matrix.rows; i++) {\n    for (let j = 0; j < matrix.columns; j++) {\n      matrix.set(i, j, matrix.get(i, j) - mean[i]);\n    }\n  }\n}\n\nfunction centerByColumn(matrix, mean) {\n  for (let i = 0; i < matrix.rows; i++) {\n    for (let j = 0; j < matrix.columns; j++) {\n      matrix.set(i, j, matrix.get(i, j) - mean[j]);\n    }\n  }\n}\n\nfunction centerAll(matrix, mean) {\n  for (let i = 0; i < matrix.rows; i++) {\n    for (let j = 0; j < matrix.columns; j++) {\n      matrix.set(i, j, matrix.get(i, j) - mean);\n    }\n  }\n}\n\nfunction getScaleByRow(matrix) {\n  const scale = [];\n  for (let i = 0; i < matrix.rows; i++) {\n    let sum = 0;\n    for (let j = 0; j < matrix.columns; j++) {\n      sum += matrix.get(i, j) ** 2 / (matrix.columns - 1);\n    }\n    scale.push(Math.sqrt(sum));\n  }\n  return scale;\n}\n\nfunction scaleByRow(matrix, scale) {\n  for (let i = 0; i < matrix.rows; i++) {\n    for (let j = 0; j < matrix.columns; j++) {\n      matrix.set(i, j, matrix.get(i, j) / scale[i]);\n    }\n  }\n}\n\nfunction getScaleByColumn(matrix) {\n  const scale = [];\n  for (let j = 0; j < matrix.columns; j++) {\n    let sum = 0;\n    for (let i = 0; i < matrix.rows; i++) {\n      sum += matrix.get(i, j) ** 2 / (matrix.rows - 1);\n    }\n    scale.push(Math.sqrt(sum));\n  }\n  return scale;\n}\n\nfunction scaleByColumn(matrix, scale) {\n  for (let i = 0; i < matrix.rows; i++) {\n    for (let j = 0; j < matrix.columns; j++) {\n      matrix.set(i, j, matrix.get(i, j) / scale[j]);\n    }\n  }\n}\n\nfunction getScaleAll(matrix) {\n  const divider = matrix.size - 1;\n  let sum = 0;\n  for (let j = 0; j < matrix.columns; j++) {\n    for (let i = 0; i < matrix.rows; i++) {\n      sum += matrix.get(i, j) ** 2 / divider;\n    }\n  }\n  return Math.sqrt(sum);\n}\n\nfunction scaleAll(matrix, scale) {\n  for (let i = 0; i < matrix.rows; i++) {\n    for (let j = 0; j < matrix.columns; j++) {\n      matrix.set(i, j, matrix.get(i, j) / scale);\n    }\n  }\n}\n\nclass AbstractMatrix {\n  static from1DArray(newRows, newColumns, newData) {\n    let length = newRows * newColumns;\n    if (length !== newData.length) {\n      throw new RangeError('data length does not match given dimensions');\n    }\n    let newMatrix = new Matrix(newRows, newColumns);\n    for (let row = 0; row < newRows; row++) {\n      for (let column = 0; column < newColumns; column++) {\n        newMatrix.set(row, column, newData[row * newColumns + column]);\n      }\n    }\n    return newMatrix;\n  }\n\n  static rowVector(newData) {\n    let vector = new Matrix(1, newData.length);\n    for (let i = 0; i < newData.length; i++) {\n      vector.set(0, i, newData[i]);\n    }\n    return vector;\n  }\n\n  static columnVector(newData) {\n    let vector = new Matrix(newData.length, 1);\n    for (let i = 0; i < newData.length; i++) {\n      vector.set(i, 0, newData[i]);\n    }\n    return vector;\n  }\n\n  static zeros(rows, columns) {\n    return new Matrix(rows, columns);\n  }\n\n  static ones(rows, columns) {\n    return new Matrix(rows, columns).fill(1);\n  }\n\n  static rand(rows, columns, options = {}) {\n    if (typeof options !== 'object') {\n      throw new TypeError('options must be an object');\n    }\n    const { random = Math.random } = options;\n    let matrix = new Matrix(rows, columns);\n    for (let i = 0; i < rows; i++) {\n      for (let j = 0; j < columns; j++) {\n        matrix.set(i, j, random());\n      }\n    }\n    return matrix;\n  }\n\n  static randInt(rows, columns, options = {}) {\n    if (typeof options !== 'object') {\n      throw new TypeError('options must be an object');\n    }\n    const { min = 0, max = 1000, random = Math.random } = options;\n    if (!Number.isInteger(min)) throw new TypeError('min must be an integer');\n    if (!Number.isInteger(max)) throw new TypeError('max must be an integer');\n    if (min >= max) throw new RangeError('min must be smaller than max');\n    let interval = max - min;\n    let matrix = new Matrix(rows, columns);\n    for (let i = 0; i < rows; i++) {\n      for (let j = 0; j < columns; j++) {\n        let value = min + Math.round(random() * interval);\n        matrix.set(i, j, value);\n      }\n    }\n    return matrix;\n  }\n\n  static eye(rows, columns, value) {\n    if (columns === undefined) columns = rows;\n    if (value === undefined) value = 1;\n    let min = Math.min(rows, columns);\n    let matrix = this.zeros(rows, columns);\n    for (let i = 0; i < min; i++) {\n      matrix.set(i, i, value);\n    }\n    return matrix;\n  }\n\n  static diag(data, rows, columns) {\n    let l = data.length;\n    if (rows === undefined) rows = l;\n    if (columns === undefined) columns = rows;\n    let min = Math.min(l, rows, columns);\n    let matrix = this.zeros(rows, columns);\n    for (let i = 0; i < min; i++) {\n      matrix.set(i, i, data[i]);\n    }\n    return matrix;\n  }\n\n  static min(matrix1, matrix2) {\n    matrix1 = this.checkMatrix(matrix1);\n    matrix2 = this.checkMatrix(matrix2);\n    let rows = matrix1.rows;\n    let columns = matrix1.columns;\n    let result = new Matrix(rows, columns);\n    for (let i = 0; i < rows; i++) {\n      for (let j = 0; j < columns; j++) {\n        result.set(i, j, Math.min(matrix1.get(i, j), matrix2.get(i, j)));\n      }\n    }\n    return result;\n  }\n\n  static max(matrix1, matrix2) {\n    matrix1 = this.checkMatrix(matrix1);\n    matrix2 = this.checkMatrix(matrix2);\n    let rows = matrix1.rows;\n    let columns = matrix1.columns;\n    let result = new this(rows, columns);\n    for (let i = 0; i < rows; i++) {\n      for (let j = 0; j < columns; j++) {\n        result.set(i, j, Math.max(matrix1.get(i, j), matrix2.get(i, j)));\n      }\n    }\n    return result;\n  }\n\n  static checkMatrix(value) {\n    return AbstractMatrix.isMatrix(value) ? value : new Matrix(value);\n  }\n\n  static isMatrix(value) {\n    return value != null && value.klass === 'Matrix';\n  }\n\n  get size() {\n    return this.rows * this.columns;\n  }\n\n  apply(callback) {\n    if (typeof callback !== 'function') {\n      throw new TypeError('callback must be a function');\n    }\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        callback.call(this, i, j);\n      }\n    }\n    return this;\n  }\n\n  to1DArray() {\n    let array = [];\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        array.push(this.get(i, j));\n      }\n    }\n    return array;\n  }\n\n  to2DArray() {\n    let copy = [];\n    for (let i = 0; i < this.rows; i++) {\n      copy.push([]);\n      for (let j = 0; j < this.columns; j++) {\n        copy[i].push(this.get(i, j));\n      }\n    }\n    return copy;\n  }\n\n  toJSON() {\n    return this.to2DArray();\n  }\n\n  isRowVector() {\n    return this.rows === 1;\n  }\n\n  isColumnVector() {\n    return this.columns === 1;\n  }\n\n  isVector() {\n    return this.rows === 1 || this.columns === 1;\n  }\n\n  isSquare() {\n    return this.rows === this.columns;\n  }\n\n  isEmpty() {\n    return this.rows === 0 || this.columns === 0;\n  }\n\n  isSymmetric() {\n    if (this.isSquare()) {\n      for (let i = 0; i < this.rows; i++) {\n        for (let j = 0; j <= i; j++) {\n          if (this.get(i, j) !== this.get(j, i)) {\n            return false;\n          }\n        }\n      }\n      return true;\n    }\n    return false;\n  }\n\n  isDistance() {\n    if (!this.isSymmetric()) return false;\n\n    for (let i = 0; i < this.rows; i++) {\n      if (this.get(i, i) !== 0) return false;\n    }\n\n    return true;\n  }\n\n  isEchelonForm() {\n    let i = 0;\n    let j = 0;\n    let previousColumn = -1;\n    let isEchelonForm = true;\n    let checked = false;\n    while (i < this.rows && isEchelonForm) {\n      j = 0;\n      checked = false;\n      while (j < this.columns && checked === false) {\n        if (this.get(i, j) === 0) {\n          j++;\n        } else if (this.get(i, j) === 1 && j > previousColumn) {\n          checked = true;\n          previousColumn = j;\n        } else {\n          isEchelonForm = false;\n          checked = true;\n        }\n      }\n      i++;\n    }\n    return isEchelonForm;\n  }\n\n  isReducedEchelonForm() {\n    let i = 0;\n    let j = 0;\n    let previousColumn = -1;\n    let isReducedEchelonForm = true;\n    let checked = false;\n    while (i < this.rows && isReducedEchelonForm) {\n      j = 0;\n      checked = false;\n      while (j < this.columns && checked === false) {\n        if (this.get(i, j) === 0) {\n          j++;\n        } else if (this.get(i, j) === 1 && j > previousColumn) {\n          checked = true;\n          previousColumn = j;\n        } else {\n          isReducedEchelonForm = false;\n          checked = true;\n        }\n      }\n      for (let k = j + 1; k < this.rows; k++) {\n        if (this.get(i, k) !== 0) {\n          isReducedEchelonForm = false;\n        }\n      }\n      i++;\n    }\n    return isReducedEchelonForm;\n  }\n\n  echelonForm() {\n    let result = this.clone();\n    let h = 0;\n    let k = 0;\n    while (h < result.rows && k < result.columns) {\n      let iMax = h;\n      for (let i = h; i < result.rows; i++) {\n        if (result.get(i, k) > result.get(iMax, k)) {\n          iMax = i;\n        }\n      }\n      if (result.get(iMax, k) === 0) {\n        k++;\n      } else {\n        result.swapRows(h, iMax);\n        let tmp = result.get(h, k);\n        for (let j = k; j < result.columns; j++) {\n          result.set(h, j, result.get(h, j) / tmp);\n        }\n        for (let i = h + 1; i < result.rows; i++) {\n          let factor = result.get(i, k) / result.get(h, k);\n          result.set(i, k, 0);\n          for (let j = k + 1; j < result.columns; j++) {\n            result.set(i, j, result.get(i, j) - result.get(h, j) * factor);\n          }\n        }\n        h++;\n        k++;\n      }\n    }\n    return result;\n  }\n\n  reducedEchelonForm() {\n    let result = this.echelonForm();\n    let m = result.columns;\n    let n = result.rows;\n    let h = n - 1;\n    while (h >= 0) {\n      if (result.maxRow(h) === 0) {\n        h--;\n      } else {\n        let p = 0;\n        let pivot = false;\n        while (p < n && pivot === false) {\n          if (result.get(h, p) === 1) {\n            pivot = true;\n          } else {\n            p++;\n          }\n        }\n        for (let i = 0; i < h; i++) {\n          let factor = result.get(i, p);\n          for (let j = p; j < m; j++) {\n            let tmp = result.get(i, j) - factor * result.get(h, j);\n            result.set(i, j, tmp);\n          }\n        }\n        h--;\n      }\n    }\n    return result;\n  }\n\n  set() {\n    throw new Error('set method is unimplemented');\n  }\n\n  get() {\n    throw new Error('get method is unimplemented');\n  }\n\n  repeat(options = {}) {\n    if (typeof options !== 'object') {\n      throw new TypeError('options must be an object');\n    }\n    const { rows = 1, columns = 1 } = options;\n    if (!Number.isInteger(rows) || rows <= 0) {\n      throw new TypeError('rows must be a positive integer');\n    }\n    if (!Number.isInteger(columns) || columns <= 0) {\n      throw new TypeError('columns must be a positive integer');\n    }\n    let matrix = new Matrix(this.rows * rows, this.columns * columns);\n    for (let i = 0; i < rows; i++) {\n      for (let j = 0; j < columns; j++) {\n        matrix.setSubMatrix(this, this.rows * i, this.columns * j);\n      }\n    }\n    return matrix;\n  }\n\n  fill(value) {\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, value);\n      }\n    }\n    return this;\n  }\n\n  neg() {\n    return this.mulS(-1);\n  }\n\n  getRow(index) {\n    checkRowIndex(this, index);\n    let row = [];\n    for (let i = 0; i < this.columns; i++) {\n      row.push(this.get(index, i));\n    }\n    return row;\n  }\n\n  getRowVector(index) {\n    return Matrix.rowVector(this.getRow(index));\n  }\n\n  setRow(index, array) {\n    checkRowIndex(this, index);\n    array = checkRowVector(this, array);\n    for (let i = 0; i < this.columns; i++) {\n      this.set(index, i, array[i]);\n    }\n    return this;\n  }\n\n  swapRows(row1, row2) {\n    checkRowIndex(this, row1);\n    checkRowIndex(this, row2);\n    for (let i = 0; i < this.columns; i++) {\n      let temp = this.get(row1, i);\n      this.set(row1, i, this.get(row2, i));\n      this.set(row2, i, temp);\n    }\n    return this;\n  }\n\n  getColumn(index) {\n    checkColumnIndex(this, index);\n    let column = [];\n    for (let i = 0; i < this.rows; i++) {\n      column.push(this.get(i, index));\n    }\n    return column;\n  }\n\n  getColumnVector(index) {\n    return Matrix.columnVector(this.getColumn(index));\n  }\n\n  setColumn(index, array) {\n    checkColumnIndex(this, index);\n    array = checkColumnVector(this, array);\n    for (let i = 0; i < this.rows; i++) {\n      this.set(i, index, array[i]);\n    }\n    return this;\n  }\n\n  swapColumns(column1, column2) {\n    checkColumnIndex(this, column1);\n    checkColumnIndex(this, column2);\n    for (let i = 0; i < this.rows; i++) {\n      let temp = this.get(i, column1);\n      this.set(i, column1, this.get(i, column2));\n      this.set(i, column2, temp);\n    }\n    return this;\n  }\n\n  addRowVector(vector) {\n    vector = checkRowVector(this, vector);\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, this.get(i, j) + vector[j]);\n      }\n    }\n    return this;\n  }\n\n  subRowVector(vector) {\n    vector = checkRowVector(this, vector);\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, this.get(i, j) - vector[j]);\n      }\n    }\n    return this;\n  }\n\n  mulRowVector(vector) {\n    vector = checkRowVector(this, vector);\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, this.get(i, j) * vector[j]);\n      }\n    }\n    return this;\n  }\n\n  divRowVector(vector) {\n    vector = checkRowVector(this, vector);\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, this.get(i, j) / vector[j]);\n      }\n    }\n    return this;\n  }\n\n  addColumnVector(vector) {\n    vector = checkColumnVector(this, vector);\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, this.get(i, j) + vector[i]);\n      }\n    }\n    return this;\n  }\n\n  subColumnVector(vector) {\n    vector = checkColumnVector(this, vector);\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, this.get(i, j) - vector[i]);\n      }\n    }\n    return this;\n  }\n\n  mulColumnVector(vector) {\n    vector = checkColumnVector(this, vector);\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, this.get(i, j) * vector[i]);\n      }\n    }\n    return this;\n  }\n\n  divColumnVector(vector) {\n    vector = checkColumnVector(this, vector);\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        this.set(i, j, this.get(i, j) / vector[i]);\n      }\n    }\n    return this;\n  }\n\n  mulRow(index, value) {\n    checkRowIndex(this, index);\n    for (let i = 0; i < this.columns; i++) {\n      this.set(index, i, this.get(index, i) * value);\n    }\n    return this;\n  }\n\n  mulColumn(index, value) {\n    checkColumnIndex(this, index);\n    for (let i = 0; i < this.rows; i++) {\n      this.set(i, index, this.get(i, index) * value);\n    }\n    return this;\n  }\n\n  max(by) {\n    if (this.isEmpty()) {\n      return NaN;\n    }\n    switch (by) {\n      case 'row': {\n        const max = new Array(this.rows).fill(Number.NEGATIVE_INFINITY);\n        for (let row = 0; row < this.rows; row++) {\n          for (let column = 0; column < this.columns; column++) {\n            if (this.get(row, column) > max[row]) {\n              max[row] = this.get(row, column);\n            }\n          }\n        }\n        return max;\n      }\n      case 'column': {\n        const max = new Array(this.columns).fill(Number.NEGATIVE_INFINITY);\n        for (let row = 0; row < this.rows; row++) {\n          for (let column = 0; column < this.columns; column++) {\n            if (this.get(row, column) > max[column]) {\n              max[column] = this.get(row, column);\n            }\n          }\n        }\n        return max;\n      }\n      case undefined: {\n        let max = this.get(0, 0);\n        for (let row = 0; row < this.rows; row++) {\n          for (let column = 0; column < this.columns; column++) {\n            if (this.get(row, column) > max) {\n              max = this.get(row, column);\n            }\n          }\n        }\n        return max;\n      }\n      default:\n        throw new Error(`invalid option: ${by}`);\n    }\n  }\n\n  maxIndex() {\n    checkNonEmpty(this);\n    let v = this.get(0, 0);\n    let idx = [0, 0];\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        if (this.get(i, j) > v) {\n          v = this.get(i, j);\n          idx[0] = i;\n          idx[1] = j;\n        }\n      }\n    }\n    return idx;\n  }\n\n  min(by) {\n    if (this.isEmpty()) {\n      return NaN;\n    }\n\n    switch (by) {\n      case 'row': {\n        const min = new Array(this.rows).fill(Number.POSITIVE_INFINITY);\n        for (let row = 0; row < this.rows; row++) {\n          for (let column = 0; column < this.columns; column++) {\n            if (this.get(row, column) < min[row]) {\n              min[row] = this.get(row, column);\n            }\n          }\n        }\n        return min;\n      }\n      case 'column': {\n        const min = new Array(this.columns).fill(Number.POSITIVE_INFINITY);\n        for (let row = 0; row < this.rows; row++) {\n          for (let column = 0; column < this.columns; column++) {\n            if (this.get(row, column) < min[column]) {\n              min[column] = this.get(row, column);\n            }\n          }\n        }\n        return min;\n      }\n      case undefined: {\n        let min = this.get(0, 0);\n        for (let row = 0; row < this.rows; row++) {\n          for (let column = 0; column < this.columns; column++) {\n            if (this.get(row, column) < min) {\n              min = this.get(row, column);\n            }\n          }\n        }\n        return min;\n      }\n      default:\n        throw new Error(`invalid option: ${by}`);\n    }\n  }\n\n  minIndex() {\n    checkNonEmpty(this);\n    let v = this.get(0, 0);\n    let idx = [0, 0];\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        if (this.get(i, j) < v) {\n          v = this.get(i, j);\n          idx[0] = i;\n          idx[1] = j;\n        }\n      }\n    }\n    return idx;\n  }\n\n  maxRow(row) {\n    checkRowIndex(this, row);\n    if (this.isEmpty()) {\n      return NaN;\n    }\n    let v = this.get(row, 0);\n    for (let i = 1; i < this.columns; i++) {\n      if (this.get(row, i) > v) {\n        v = this.get(row, i);\n      }\n    }\n    return v;\n  }\n\n  maxRowIndex(row) {\n    checkRowIndex(this, row);\n    checkNonEmpty(this);\n    let v = this.get(row, 0);\n    let idx = [row, 0];\n    for (let i = 1; i < this.columns; i++) {\n      if (this.get(row, i) > v) {\n        v = this.get(row, i);\n        idx[1] = i;\n      }\n    }\n    return idx;\n  }\n\n  minRow(row) {\n    checkRowIndex(this, row);\n    if (this.isEmpty()) {\n      return NaN;\n    }\n    let v = this.get(row, 0);\n    for (let i = 1; i < this.columns; i++) {\n      if (this.get(row, i) < v) {\n        v = this.get(row, i);\n      }\n    }\n    return v;\n  }\n\n  minRowIndex(row) {\n    checkRowIndex(this, row);\n    checkNonEmpty(this);\n    let v = this.get(row, 0);\n    let idx = [row, 0];\n    for (let i = 1; i < this.columns; i++) {\n      if (this.get(row, i) < v) {\n        v = this.get(row, i);\n        idx[1] = i;\n      }\n    }\n    return idx;\n  }\n\n  maxColumn(column) {\n    checkColumnIndex(this, column);\n    if (this.isEmpty()) {\n      return NaN;\n    }\n    let v = this.get(0, column);\n    for (let i = 1; i < this.rows; i++) {\n      if (this.get(i, column) > v) {\n        v = this.get(i, column);\n      }\n    }\n    return v;\n  }\n\n  maxColumnIndex(column) {\n    checkColumnIndex(this, column);\n    checkNonEmpty(this);\n    let v = this.get(0, column);\n    let idx = [0, column];\n    for (let i = 1; i < this.rows; i++) {\n      if (this.get(i, column) > v) {\n        v = this.get(i, column);\n        idx[0] = i;\n      }\n    }\n    return idx;\n  }\n\n  minColumn(column) {\n    checkColumnIndex(this, column);\n    if (this.isEmpty()) {\n      return NaN;\n    }\n    let v = this.get(0, column);\n    for (let i = 1; i < this.rows; i++) {\n      if (this.get(i, column) < v) {\n        v = this.get(i, column);\n      }\n    }\n    return v;\n  }\n\n  minColumnIndex(column) {\n    checkColumnIndex(this, column);\n    checkNonEmpty(this);\n    let v = this.get(0, column);\n    let idx = [0, column];\n    for (let i = 1; i < this.rows; i++) {\n      if (this.get(i, column) < v) {\n        v = this.get(i, column);\n        idx[0] = i;\n      }\n    }\n    return idx;\n  }\n\n  diag() {\n    let min = Math.min(this.rows, this.columns);\n    let diag = [];\n    for (let i = 0; i < min; i++) {\n      diag.push(this.get(i, i));\n    }\n    return diag;\n  }\n\n  norm(type = 'frobenius') {\n    switch (type) {\n      case 'max':\n        return this.max();\n      case 'frobenius':\n        return Math.sqrt(this.dot(this));\n      default:\n        throw new RangeError(`unknown norm type: ${type}`);\n    }\n  }\n\n  cumulativeSum() {\n    let sum = 0;\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        sum += this.get(i, j);\n        this.set(i, j, sum);\n      }\n    }\n    return this;\n  }\n\n  dot(vector2) {\n    if (AbstractMatrix.isMatrix(vector2)) vector2 = vector2.to1DArray();\n    let vector1 = this.to1DArray();\n    if (vector1.length !== vector2.length) {\n      throw new RangeError('vectors do not have the same size');\n    }\n    let dot = 0;\n    for (let i = 0; i < vector1.length; i++) {\n      dot += vector1[i] * vector2[i];\n    }\n    return dot;\n  }\n\n  mmul(other) {\n    other = Matrix.checkMatrix(other);\n\n    let m = this.rows;\n    let n = this.columns;\n    let p = other.columns;\n\n    let result = new Matrix(m, p);\n\n    let Bcolj = new Float64Array(n);\n    for (let j = 0; j < p; j++) {\n      for (let k = 0; k < n; k++) {\n        Bcolj[k] = other.get(k, j);\n      }\n\n      for (let i = 0; i < m; i++) {\n        let s = 0;\n        for (let k = 0; k < n; k++) {\n          s += this.get(i, k) * Bcolj[k];\n        }\n\n        result.set(i, j, s);\n      }\n    }\n    return result;\n  }\n\n  mpow(scalar) {\n    if (!this.isSquare()) {\n      throw new RangeError('Matrix must be square');\n    }\n    if (!Number.isInteger(scalar) || scalar < 0) {\n      throw new RangeError('Exponent must be a non-negative integer');\n    }\n    // Russian Peasant exponentiation, i.e. exponentiation by squaring\n    let result = Matrix.eye(this.rows);\n    let bb = this;\n    // Note: Don't bit shift. In JS, that would truncate at 32 bits\n    for (let e = scalar; e >= 1; e /= 2) {\n      if ((e & 1) !== 0) {\n        result = result.mmul(bb);\n      }\n      bb = bb.mmul(bb);\n    }\n    return result;\n  }\n\n  strassen2x2(other) {\n    other = Matrix.checkMatrix(other);\n    let result = new Matrix(2, 2);\n    const a11 = this.get(0, 0);\n    const b11 = other.get(0, 0);\n    const a12 = this.get(0, 1);\n    const b12 = other.get(0, 1);\n    const a21 = this.get(1, 0);\n    const b21 = other.get(1, 0);\n    const a22 = this.get(1, 1);\n    const b22 = other.get(1, 1);\n\n    // Compute intermediate values.\n    const m1 = (a11 + a22) * (b11 + b22);\n    const m2 = (a21 + a22) * b11;\n    const m3 = a11 * (b12 - b22);\n    const m4 = a22 * (b21 - b11);\n    const m5 = (a11 + a12) * b22;\n    const m6 = (a21 - a11) * (b11 + b12);\n    const m7 = (a12 - a22) * (b21 + b22);\n\n    // Combine intermediate values into the output.\n    const c00 = m1 + m4 - m5 + m7;\n    const c01 = m3 + m5;\n    const c10 = m2 + m4;\n    const c11 = m1 - m2 + m3 + m6;\n\n    result.set(0, 0, c00);\n    result.set(0, 1, c01);\n    result.set(1, 0, c10);\n    result.set(1, 1, c11);\n    return result;\n  }\n\n  strassen3x3(other) {\n    other = Matrix.checkMatrix(other);\n    let result = new Matrix(3, 3);\n\n    const a00 = this.get(0, 0);\n    const a01 = this.get(0, 1);\n    const a02 = this.get(0, 2);\n    const a10 = this.get(1, 0);\n    const a11 = this.get(1, 1);\n    const a12 = this.get(1, 2);\n    const a20 = this.get(2, 0);\n    const a21 = this.get(2, 1);\n    const a22 = this.get(2, 2);\n\n    const b00 = other.get(0, 0);\n    const b01 = other.get(0, 1);\n    const b02 = other.get(0, 2);\n    const b10 = other.get(1, 0);\n    const b11 = other.get(1, 1);\n    const b12 = other.get(1, 2);\n    const b20 = other.get(2, 0);\n    const b21 = other.get(2, 1);\n    const b22 = other.get(2, 2);\n\n    const m1 = (a00 + a01 + a02 - a10 - a11 - a21 - a22) * b11;\n    const m2 = (a00 - a10) * (-b01 + b11);\n    const m3 = a11 * (-b00 + b01 + b10 - b11 - b12 - b20 + b22);\n    const m4 = (-a00 + a10 + a11) * (b00 - b01 + b11);\n    const m5 = (a10 + a11) * (-b00 + b01);\n    const m6 = a00 * b00;\n    const m7 = (-a00 + a20 + a21) * (b00 - b02 + b12);\n    const m8 = (-a00 + a20) * (b02 - b12);\n    const m9 = (a20 + a21) * (-b00 + b02);\n    const m10 = (a00 + a01 + a02 - a11 - a12 - a20 - a21) * b12;\n    const m11 = a21 * (-b00 + b02 + b10 - b11 - b12 - b20 + b21);\n    const m12 = (-a02 + a21 + a22) * (b11 + b20 - b21);\n    const m13 = (a02 - a22) * (b11 - b21);\n    const m14 = a02 * b20;\n    const m15 = (a21 + a22) * (-b20 + b21);\n    const m16 = (-a02 + a11 + a12) * (b12 + b20 - b22);\n    const m17 = (a02 - a12) * (b12 - b22);\n    const m18 = (a11 + a12) * (-b20 + b22);\n    const m19 = a01 * b10;\n    const m20 = a12 * b21;\n    const m21 = a10 * b02;\n    const m22 = a20 * b01;\n    const m23 = a22 * b22;\n\n    const c00 = m6 + m14 + m19;\n    const c01 = m1 + m4 + m5 + m6 + m12 + m14 + m15;\n    const c02 = m6 + m7 + m9 + m10 + m14 + m16 + m18;\n    const c10 = m2 + m3 + m4 + m6 + m14 + m16 + m17;\n    const c11 = m2 + m4 + m5 + m6 + m20;\n    const c12 = m14 + m16 + m17 + m18 + m21;\n    const c20 = m6 + m7 + m8 + m11 + m12 + m13 + m14;\n    const c21 = m12 + m13 + m14 + m15 + m22;\n    const c22 = m6 + m7 + m8 + m9 + m23;\n\n    result.set(0, 0, c00);\n    result.set(0, 1, c01);\n    result.set(0, 2, c02);\n    result.set(1, 0, c10);\n    result.set(1, 1, c11);\n    result.set(1, 2, c12);\n    result.set(2, 0, c20);\n    result.set(2, 1, c21);\n    result.set(2, 2, c22);\n    return result;\n  }\n\n  mmulStrassen(y) {\n    y = Matrix.checkMatrix(y);\n    let x = this.clone();\n    let r1 = x.rows;\n    let c1 = x.columns;\n    let r2 = y.rows;\n    let c2 = y.columns;\n    if (c1 !== r2) {\n      // eslint-disable-next-line no-console\n      console.warn(\n        `Multiplying ${r1} x ${c1} and ${r2} x ${c2} matrix: dimensions do not match.`,\n      );\n    }\n\n    // Put a matrix into the top left of a matrix of zeros.\n    // `rows` and `cols` are the dimensions of the output matrix.\n    function embed(mat, rows, cols) {\n      let r = mat.rows;\n      let c = mat.columns;\n      if (r === rows && c === cols) {\n        return mat;\n      } else {\n        let resultat = AbstractMatrix.zeros(rows, cols);\n        resultat = resultat.setSubMatrix(mat, 0, 0);\n        return resultat;\n      }\n    }\n\n    // Make sure both matrices are the same size.\n    // This is exclusively for simplicity:\n    // this algorithm can be implemented with matrices of different sizes.\n\n    let r = Math.max(r1, r2);\n    let c = Math.max(c1, c2);\n    x = embed(x, r, c);\n    y = embed(y, r, c);\n\n    // Our recursive multiplication function.\n    function blockMult(a, b, rows, cols) {\n      // For small matrices, resort to naive multiplication.\n      if (rows <= 512 || cols <= 512) {\n        return a.mmul(b); // a is equivalent to this\n      }\n\n      // Apply dynamic padding.\n      if (rows % 2 === 1 && cols % 2 === 1) {\n        a = embed(a, rows + 1, cols + 1);\n        b = embed(b, rows + 1, cols + 1);\n      } else if (rows % 2 === 1) {\n        a = embed(a, rows + 1, cols);\n        b = embed(b, rows + 1, cols);\n      } else if (cols % 2 === 1) {\n        a = embed(a, rows, cols + 1);\n        b = embed(b, rows, cols + 1);\n      }\n\n      let halfRows = parseInt(a.rows / 2, 10);\n      let halfCols = parseInt(a.columns / 2, 10);\n      // Subdivide input matrices.\n      let a11 = a.subMatrix(0, halfRows - 1, 0, halfCols - 1);\n      let b11 = b.subMatrix(0, halfRows - 1, 0, halfCols - 1);\n\n      let a12 = a.subMatrix(0, halfRows - 1, halfCols, a.columns - 1);\n      let b12 = b.subMatrix(0, halfRows - 1, halfCols, b.columns - 1);\n\n      let a21 = a.subMatrix(halfRows, a.rows - 1, 0, halfCols - 1);\n      let b21 = b.subMatrix(halfRows, b.rows - 1, 0, halfCols - 1);\n\n      let a22 = a.subMatrix(halfRows, a.rows - 1, halfCols, a.columns - 1);\n      let b22 = b.subMatrix(halfRows, b.rows - 1, halfCols, b.columns - 1);\n\n      // Compute intermediate values.\n      let m1 = blockMult(\n        AbstractMatrix.add(a11, a22),\n        AbstractMatrix.add(b11, b22),\n        halfRows,\n        halfCols,\n      );\n      let m2 = blockMult(AbstractMatrix.add(a21, a22), b11, halfRows, halfCols);\n      let m3 = blockMult(a11, AbstractMatrix.sub(b12, b22), halfRows, halfCols);\n      let m4 = blockMult(a22, AbstractMatrix.sub(b21, b11), halfRows, halfCols);\n      let m5 = blockMult(AbstractMatrix.add(a11, a12), b22, halfRows, halfCols);\n      let m6 = blockMult(\n        AbstractMatrix.sub(a21, a11),\n        AbstractMatrix.add(b11, b12),\n        halfRows,\n        halfCols,\n      );\n      let m7 = blockMult(\n        AbstractMatrix.sub(a12, a22),\n        AbstractMatrix.add(b21, b22),\n        halfRows,\n        halfCols,\n      );\n\n      // Combine intermediate values into the output.\n      let c11 = AbstractMatrix.add(m1, m4);\n      c11.sub(m5);\n      c11.add(m7);\n      let c12 = AbstractMatrix.add(m3, m5);\n      let c21 = AbstractMatrix.add(m2, m4);\n      let c22 = AbstractMatrix.sub(m1, m2);\n      c22.add(m3);\n      c22.add(m6);\n\n      // Crop output to the desired size (undo dynamic padding).\n      let result = AbstractMatrix.zeros(2 * c11.rows, 2 * c11.columns);\n      result = result.setSubMatrix(c11, 0, 0);\n      result = result.setSubMatrix(c12, c11.rows, 0);\n      result = result.setSubMatrix(c21, 0, c11.columns);\n      result = result.setSubMatrix(c22, c11.rows, c11.columns);\n      return result.subMatrix(0, rows - 1, 0, cols - 1);\n    }\n\n    return blockMult(x, y, r, c);\n  }\n\n  scaleRows(options = {}) {\n    if (typeof options !== 'object') {\n      throw new TypeError('options must be an object');\n    }\n    const { min = 0, max = 1 } = options;\n    if (!Number.isFinite(min)) throw new TypeError('min must be a number');\n    if (!Number.isFinite(max)) throw new TypeError('max must be a number');\n    if (min >= max) throw new RangeError('min must be smaller than max');\n    let newMatrix = new Matrix(this.rows, this.columns);\n    for (let i = 0; i < this.rows; i++) {\n      const row = this.getRow(i);\n      if (row.length > 0) {\n        rescale(row, { min, max, output: row });\n      }\n      newMatrix.setRow(i, row);\n    }\n    return newMatrix;\n  }\n\n  scaleColumns(options = {}) {\n    if (typeof options !== 'object') {\n      throw new TypeError('options must be an object');\n    }\n    const { min = 0, max = 1 } = options;\n    if (!Number.isFinite(min)) throw new TypeError('min must be a number');\n    if (!Number.isFinite(max)) throw new TypeError('max must be a number');\n    if (min >= max) throw new RangeError('min must be smaller than max');\n    let newMatrix = new Matrix(this.rows, this.columns);\n    for (let i = 0; i < this.columns; i++) {\n      const column = this.getColumn(i);\n      if (column.length) {\n        rescale(column, {\n          min,\n          max,\n          output: column,\n        });\n      }\n      newMatrix.setColumn(i, column);\n    }\n    return newMatrix;\n  }\n\n  flipRows() {\n    const middle = Math.ceil(this.columns / 2);\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < middle; j++) {\n        let first = this.get(i, j);\n        let last = this.get(i, this.columns - 1 - j);\n        this.set(i, j, last);\n        this.set(i, this.columns - 1 - j, first);\n      }\n    }\n    return this;\n  }\n\n  flipColumns() {\n    const middle = Math.ceil(this.rows / 2);\n    for (let j = 0; j < this.columns; j++) {\n      for (let i = 0; i < middle; i++) {\n        let first = this.get(i, j);\n        let last = this.get(this.rows - 1 - i, j);\n        this.set(i, j, last);\n        this.set(this.rows - 1 - i, j, first);\n      }\n    }\n    return this;\n  }\n\n  kroneckerProduct(other) {\n    other = Matrix.checkMatrix(other);\n\n    let m = this.rows;\n    let n = this.columns;\n    let p = other.rows;\n    let q = other.columns;\n\n    let result = new Matrix(m * p, n * q);\n    for (let i = 0; i < m; i++) {\n      for (let j = 0; j < n; j++) {\n        for (let k = 0; k < p; k++) {\n          for (let l = 0; l < q; l++) {\n            result.set(p * i + k, q * j + l, this.get(i, j) * other.get(k, l));\n          }\n        }\n      }\n    }\n    return result;\n  }\n\n  kroneckerSum(other) {\n    other = Matrix.checkMatrix(other);\n    if (!this.isSquare() || !other.isSquare()) {\n      throw new Error('Kronecker Sum needs two Square Matrices');\n    }\n    let m = this.rows;\n    let n = other.rows;\n    let AxI = this.kroneckerProduct(Matrix.eye(n, n));\n    let IxB = Matrix.eye(m, m).kroneckerProduct(other);\n    return AxI.add(IxB);\n  }\n\n  transpose() {\n    let result = new Matrix(this.columns, this.rows);\n    for (let i = 0; i < this.rows; i++) {\n      for (let j = 0; j < this.columns; j++) {\n        result.set(j, i, this.get(i, j));\n      }\n    }\n    return result;\n  }\n\n  sortRows(compareFunction = compareNumbers) {\n    for (let i = 0; i < this.rows; i++) {\n      this.setRow(i, this.getRow(i).sort(compareFunction));\n    }\n    return this;\n  }\n\n  sortColumns(compareFunction = compareNumbers) {\n    for (let i = 0; i < this.columns; i++) {\n      this.setColumn(i, this.getColumn(i).sort(compareFunction));\n    }\n    return this;\n  }\n\n  subMatrix(startRow, endRow, startColumn, endColumn) {\n    checkRange(this, startRow, endRow, startColumn, endColumn);\n    let newMatrix = new Matrix(\n      endRow - startRow + 1,\n      endColumn - startColumn + 1,\n    );\n    for (let i = startRow; i <= endRow; i++) {\n      for (let j = startColumn; j <= endColumn; j++) {\n        newMatrix.set(i - startRow, j - startColumn, this.get(i, j));\n      }\n    }\n    return newMatrix;\n  }\n\n  subMatrixRow(indices, startColumn, endColumn) {\n    if (startColumn === undefined) startColumn = 0;\n    if (endColumn === undefined) endColumn = this.columns - 1;\n    if (\n      startColumn > endColumn ||\n      startColumn < 0 ||\n      startColumn >= this.columns ||\n      endColumn < 0 ||\n      endColumn >= this.columns\n    ) {\n      throw new RangeError('Argument out of range');\n    }\n\n    let newMatrix = new Matrix(indices.length, endColumn - startColumn + 1);\n    for (let i = 0; i < indices.length; i++) {\n      for (let j = startColumn; j <= endColumn; j++) {\n        if (indices[i] < 0 || indices[i] >= this.rows) {\n          throw new RangeError(`Row index out of range: ${indices[i]}`);\n        }\n        newMatrix.set(i, j - startColumn, this.get(indices[i], j));\n      }\n    }\n    return newMatrix;\n  }\n\n  subMatrixColumn(indices, startRow, endRow) {\n    if (startRow === undefined) startRow = 0;\n    if (endRow === undefined) endRow = this.rows - 1;\n    if (\n      startRow > endRow ||\n      startRow < 0 ||\n      startRow >= this.rows ||\n      endRow < 0 ||\n      endRow >= this.rows\n    ) {\n      throw new RangeError('Argument out of range');\n    }\n\n    let newMatrix = new Matrix(endRow - startRow + 1, indices.length);\n    for (let i = 0; i < indices.length; i++) {\n      for (let j = startRow; j <= endRow; j++) {\n        if (indices[i] < 0 || indices[i] >= this.columns) {\n          throw new RangeError(`Column index out of range: ${indices[i]}`);\n        }\n        newMatrix.set(j - startRow, i, this.get(j, indices[i]));\n      }\n    }\n    return newMatrix;\n  }\n\n  setSubMatrix(matrix, startRow, startColumn) {\n    matrix = Matrix.checkMatrix(matrix);\n    if (matrix.isEmpty()) {\n      return this;\n    }\n    let endRow = startRow + matrix.rows - 1;\n    let endColumn = startColumn + matrix.columns - 1;\n    checkRange(this, startRow, endRow, startColumn, endColumn);\n    for (let i = 0; i < matrix.rows; i++) {\n      for (let j = 0; j < matrix.columns; j++) {\n        this.set(startRow + i, startColumn + j, matrix.get(i, j));\n      }\n    }\n    return this;\n  }\n\n  selection(rowIndices, columnIndices) {\n    checkRowIndices(this, rowIndices);\n    checkColumnIndices(this, columnIndices);\n    let newMatrix = new Matrix(rowIndices.length, columnIndices.length);\n    for (let i = 0; i < rowIndices.length; i++) {\n      let rowIndex = rowIndices[i];\n      for (let j = 0; j < columnIndices.length; j++) {\n        let columnIndex = columnIndices[j];\n        newMatrix.set(i, j, this.get(rowIndex, columnIndex));\n      }\n    }\n    return newMatrix;\n  }\n\n  trace() {\n    let min = Math.min(this.rows, this.columns);\n    let trace = 0;\n    for (let i = 0; i < min; i++) {\n      trace += this.get(i, i);\n    }\n    return trace;\n  }\n\n  clone() {\n    return this.constructor.copy(this, new Matrix(this.rows, this.columns));\n  }\n\n  /**\n   * @template {AbstractMatrix} M\n   * @param {AbstractMatrix} from\n   * @param {M} to\n   * @return {M}\n   */\n  static copy(from, to) {\n    for (const [row, column, value] of from.entries()) {\n      to.set(row, column, value);\n    }\n\n    return to;\n  }\n\n  sum(by) {\n    switch (by) {\n      case 'row':\n        return sumByRow(this);\n      case 'column':\n        return sumByColumn(this);\n      case undefined:\n        return sumAll(this);\n      default:\n        throw new Error(`invalid option: ${by}`);\n    }\n  }\n\n  product(by) {\n    switch (by) {\n      case 'row':\n        return productByRow(this);\n      case 'column':\n        return productByColumn(this);\n      case undefined:\n        return productAll(this);\n      default:\n        throw new Error(`invalid option: ${by}`);\n    }\n  }\n\n  mean(by) {\n    const sum = this.sum(by);\n    switch (by) {\n      case 'row': {\n        for (let i = 0; i < this.rows; i++) {\n          sum[i] /= this.columns;\n        }\n        return sum;\n      }\n      case 'column': {\n        for (let i = 0; i < this.columns; i++) {\n          sum[i] /= this.rows;\n        }\n        return sum;\n      }\n      case undefined:\n        return sum / this.size;\n      default:\n        throw new Error(`invalid option: ${by}`);\n    }\n  }\n\n  variance(by, options = {}) {\n    if (typeof by === 'object') {\n      options = by;\n      by = undefined;\n    }\n    if (typeof options !== 'object') {\n      throw new TypeError('options must be an object');\n    }\n    const { unbiased = true, mean = this.mean(by) } = options;\n    if (typeof unbiased !== 'boolean') {\n      throw new TypeError('unbiased must be a boolean');\n    }\n    switch (by) {\n      case 'row': {\n        if (!isAnyArray.isAnyArray(mean)) {\n          throw new TypeError('mean must be an array');\n        }\n        return varianceByRow(this, unbiased, mean);\n      }\n      case 'column': {\n        if (!isAnyArray.isAnyArray(mean)) {\n          throw new TypeError('mean must be an array');\n        }\n        return varianceByColumn(this, unbiased, mean);\n      }\n      case undefined: {\n        if (typeof mean !== 'number') {\n          throw new TypeError('mean must be a number');\n        }\n        return varianceAll(this, unbiased, mean);\n      }\n      default:\n        throw new Error(`invalid option: ${by}`);\n    }\n  }\n\n  standardDeviation(by, options) {\n    if (typeof by === 'object') {\n      options = by;\n      by = undefined;\n    }\n    const variance = this.variance(by, options);\n    if (by === undefined) {\n      return Math.sqrt(variance);\n    } else {\n      for (let i = 0; i < variance.length; i++) {\n        variance[i] = Math.sqrt(variance[i]);\n      }\n      return variance;\n    }\n  }\n\n  center(by, options = {}) {\n    if (typeof by === 'object') {\n      options = by;\n      by = undefined;\n    }\n    if (typeof options !== 'object') {\n      throw new TypeError('options must be an object');\n    }\n    const { center = this.mean(by) } = options;\n    switch (by) {\n      case 'row': {\n        if (!isAnyArray.isAnyArray(center)) {\n          throw new TypeError('center must be an array');\n        }\n        centerByRow(this, center);\n        return this;\n      }\n      case 'column': {\n        if (!isAnyArray.isAnyArray(center)) {\n          throw new TypeError('center must be an array');\n        }\n        centerByColumn(this, center);\n        return this;\n      }\n      case undefined: {\n        if (typeof center !== 'number') {\n          throw new TypeError('center must be a number');\n        }\n        centerAll(this, center);\n        return this;\n      }\n      default:\n        throw new Error(`invalid option: ${by}`);\n    }\n  }\n\n  scale(by, options = {}) {\n    if (typeof by === 'object') {\n      options = by;\n      by = undefined;\n    }\n    if (typeof options !== 'object') {\n      throw new TypeError('options must be an object');\n    }\n    let scale = options.scale;\n    switch (by) {\n      case 'row': {\n        if (scale === undefined) {\n          scale = getScaleByRow(this);\n        } else if (!isAnyArray.isAnyArray(scale)) {\n          throw new TypeError('scale must be an array');\n        }\n        scaleByRow(this, scale);\n        return this;\n      }\n      case 'column': {\n        if (scale === undefined) {\n          scale = getScaleByColumn(this);\n        } else if (!isAnyArray.isAnyArray(scale)) {\n          throw new TypeError('scale must be an array');\n        }\n        scaleByColumn(this, scale);\n        return this;\n      }\n      case undefined: {\n        if (scale === undefined) {\n          scale = getScaleAll(this);\n        } else if (typeof scale !== 'number') {\n          throw new TypeError('scale must be a number');\n        }\n        scaleAll(this, scale);\n        return this;\n      }\n      default:\n        throw new Error(`invalid option: ${by}`);\n    }\n  }\n\n  toString(options) {\n    return inspectMatrixWithOptions(this, options);\n  }\n\n  [Symbol.iterator]() {\n    return this.entries();\n  }\n\n  /**\n   * iterator from left to right, from top to bottom\n   * yield [row, column, value]\n   * @returns {Generator<[number, number, number], void, void>}\n   */\n  *entries() {\n    for (let row = 0; row < this.rows; row++) {\n      for (let col = 0; col < this.columns; col++) {\n        yield [row, col, this.get(row, col)];\n      }\n    }\n  }\n\n  /**\n   * iterator from left to right, from top to bottom\n   * yield value\n   * @returns {Generator<number, void, void>}\n   */\n  *values() {\n    for (let row = 0; row < this.rows; row++) {\n      for (let col = 0; col < this.columns; col++) {\n        yield this.get(row, col);\n      }\n    }\n  }\n}\n\nAbstractMatrix.prototype.klass = 'Matrix';\nif (typeof Symbol !== 'undefined') {\n  AbstractMatrix.prototype[Symbol.for('nodejs.util.inspect.custom')] =\n    inspectMatrix;\n}\n\nfunction compareNumbers(a, b) {\n  return a - b;\n}\n\nfunction isArrayOfNumbers(array) {\n  return array.every((element) => {\n    return typeof element === 'number';\n  });\n}\n\n// Synonyms\nAbstractMatrix.random = AbstractMatrix.rand;\nAbstractMatrix.randomInt = AbstractMatrix.randInt;\nAbstractMatrix.diagonal = AbstractMatrix.diag;\nAbstractMatrix.prototype.diagonal = AbstractMatrix.prototype.diag;\nAbstractMatrix.identity = AbstractMatrix.eye;\nAbstractMatrix.prototype.negate = AbstractMatrix.prototype.neg;\nAbstractMatrix.prototype.tensorProduct =\n  AbstractMatrix.prototype.kroneckerProduct;\n\nclass Matrix extends AbstractMatrix {\n  /**\n   * @type {Float64Array[]}\n   */\n  data;\n\n  /**\n   * Init an empty matrix\n   * @param {number} nRows\n   * @param {number} nColumns\n   */\n  #initData(nRows, nColumns) {\n    this.data = [];\n\n    if (Number.isInteger(nColumns) && nColumns >= 0) {\n      for (let i = 0; i < nRows; i++) {\n        this.data.push(new Float64Array(nColumns));\n      }\n    } else {\n      throw new TypeError('nColumns must be a positive integer');\n    }\n\n    this.rows = nRows;\n    this.columns = nColumns;\n  }\n\n  constructor(nRows, nColumns) {\n    super();\n    if (Matrix.isMatrix(nRows)) {\n      this.#initData(nRows.rows, nRows.columns);\n      Matrix.copy(nRows, this);\n    } else if (Number.isInteger(nRows) && nRows >= 0) {\n      this.#initData(nRows, nColumns);\n    } else if (isAnyArray.isAnyArray(nRows)) {\n      // Copy the values from the 2D array\n      const arrayData = nRows;\n      nRows = arrayData.length;\n      nColumns = nRows ? arrayData[0].length : 0;\n      if (typeof nColumns !== 'number') {\n        throw new TypeError(\n          'Data must be a 2D array with at least one element',\n        );\n      }\n      this.data = [];\n\n      for (let i = 0; i < nRows; i++) {\n        if (arrayData[i].length !== nColumns) {\n          throw new RangeError('Inconsistent array dimensions');\n        }\n        if (!isArrayOfNumbers(arrayData[i])) {\n          throw new TypeError('Input data contains non-numeric values');\n        }\n        this.data.push(Float64Array.from(arrayData[i]));\n      }\n\n      this.rows = nRows;\n      this.columns = nColumns;\n    } else {\n      throw new TypeError(\n        'First argument must be a positive number or an array',\n      );\n    }\n  }\n\n  set(rowIndex, columnIndex, value) {\n    this.data[rowIndex][columnIndex] = value;\n    return this;\n  }\n\n  get(rowIndex, columnIndex) {\n    return this.data[rowIndex][columnIndex];\n  }\n\n  removeRow(index) {\n    checkRowIndex(this, index);\n    this.data.splice(index, 1);\n    this.rows -= 1;\n    return this;\n  }\n\n  addRow(index, array) {\n    if (array === undefined) {\n      array = index;\n      index = this.rows;\n    }\n    checkRowIndex(this, index, true);\n    array = Float64Array.from(checkRowVector(this, array));\n    this.data.splice(index, 0, array);\n    this.rows += 1;\n    return this;\n  }\n\n  removeColumn(index) {\n    checkColumnIndex(this, index);\n    for (let i = 0; i < this.rows; i++) {\n      const newRow = new Float64Array(this.columns - 1);\n      for (let j = 0; j < index; j++) {\n        newRow[j] = this.data[i][j];\n      }\n      for (let j = index + 1; j < this.columns; j++) {\n        newRow[j - 1] = this.data[i][j];\n      }\n      this.data[i] = newRow;\n    }\n    this.columns -= 1;\n    return this;\n  }\n\n  addColumn(index, array) {\n    if (typeof array === 'undefined') {\n      array = index;\n      index = this.columns;\n    }\n    checkColumnIndex(this, index, true);\n    array = checkColumnVector(this, array);\n    for (let i = 0; i < this.rows; i++) {\n      const newRow = new Float64Array(this.columns + 1);\n      let j = 0;\n      for (; j < index; j++) {\n        newRow[j] = this.data[i][j];\n      }\n      newRow[j++] = array[i];\n      for (; j < this.columns + 1; j++) {\n        newRow[j] = this.data[i][j - 1];\n      }\n      this.data[i] = newRow;\n    }\n    this.columns += 1;\n    return this;\n  }\n}\n\ninstallMathOperations(AbstractMatrix, Matrix);\n\n/**\n * @typedef {0 | 1 | number | boolean} Mask\n */\n\nclass SymmetricMatrix extends AbstractMatrix {\n  /** @type {Matrix} */\n  #matrix;\n\n  get size() {\n    return this.#matrix.size;\n  }\n\n  get rows() {\n    return this.#matrix.rows;\n  }\n\n  get columns() {\n    return this.#matrix.columns;\n  }\n\n  get diagonalSize() {\n    return this.rows;\n  }\n\n  /**\n   * not the same as matrix.isSymmetric()\n   * Here is to check if it's instanceof SymmetricMatrix without bundling issues\n   *\n   * @param value\n   * @returns {boolean}\n   */\n  static isSymmetricMatrix(value) {\n    return Matrix.isMatrix(value) && value.klassType === 'SymmetricMatrix';\n  }\n\n  /**\n   * @param diagonalSize\n   * @return {SymmetricMatrix}\n   */\n  static zeros(diagonalSize) {\n    return new this(diagonalSize);\n  }\n\n  /**\n   * @param diagonalSize\n   * @return {SymmetricMatrix}\n   */\n  static ones(diagonalSize) {\n    return new this(diagonalSize).fill(1);\n  }\n\n  /**\n   * @param {number | AbstractMatrix | ArrayLike<ArrayLike<number>>} diagonalSize\n   * @return {this}\n   */\n  constructor(diagonalSize) {\n    super();\n\n    if (Matrix.isMatrix(diagonalSize)) {\n      if (!diagonalSize.isSymmetric()) {\n        throw new TypeError('not symmetric data');\n      }\n\n      this.#matrix = Matrix.copy(\n        diagonalSize,\n        new Matrix(diagonalSize.rows, diagonalSize.rows),\n      );\n    } else if (Number.isInteger(diagonalSize) && diagonalSize >= 0) {\n      this.#matrix = new Matrix(diagonalSize, diagonalSize);\n    } else {\n      this.#matrix = new Matrix(diagonalSize);\n\n      if (!this.isSymmetric()) {\n        throw new TypeError('not symmetric data');\n      }\n    }\n  }\n\n  clone() {\n    const matrix = new SymmetricMatrix(this.diagonalSize);\n\n    for (const [row, col, value] of this.upperRightEntries()) {\n      matrix.set(row, col, value);\n    }\n\n    return matrix;\n  }\n\n  toMatrix() {\n    return new Matrix(this);\n  }\n\n  get(rowIndex, columnIndex) {\n    return this.#matrix.get(rowIndex, columnIndex);\n  }\n  set(rowIndex, columnIndex, value) {\n    // symmetric set\n    this.#matrix.set(rowIndex, columnIndex, value);\n    this.#matrix.set(columnIndex, rowIndex, value);\n\n    return this;\n  }\n\n  removeCross(index) {\n    // symmetric remove side\n    this.#matrix.removeRow(index);\n    this.#matrix.removeColumn(index);\n\n    return this;\n  }\n\n  addCross(index, array) {\n    if (array === undefined) {\n      array = index;\n      index = this.diagonalSize;\n    }\n\n    const row = array.slice();\n    row.splice(index, 1);\n\n    this.#matrix.addRow(index, row);\n    this.#matrix.addColumn(index, array);\n\n    return this;\n  }\n\n  /**\n   * @param {Mask[]} mask\n   */\n  applyMask(mask) {\n    if (mask.length !== this.diagonalSize) {\n      throw new RangeError('Mask size do not match with matrix size');\n    }\n\n    // prepare sides to remove from matrix from mask\n    /** @type {number[]} */\n    const sidesToRemove = [];\n    for (const [index, passthroughs] of mask.entries()) {\n      if (passthroughs) continue;\n      sidesToRemove.push(index);\n    }\n    // to remove from highest to lowest for no mutation shifting\n    sidesToRemove.reverse();\n\n    // remove sides\n    for (const sideIndex of sidesToRemove) {\n      this.removeCross(sideIndex);\n    }\n\n    return this;\n  }\n\n  /**\n   * Compact format upper-right corner of matrix\n   * iterate from left to right, from top to bottom.\n   *\n   * ```\n   *   A B C D\n   * A 1 2 3 4\n   * B 2 5 6 7\n   * C 3 6 8 9\n   * D 4 7 9 10\n   * ```\n   *\n   * will return compact 1D array `[1, 2, 3, 4, 5, 6, 7, 8, 9, 10]`\n   *\n   * length is S(i=0, n=sideSize) => 10 for a 4 sideSized matrix\n   *\n   * @returns {number[]}\n   */\n  toCompact() {\n    const { diagonalSize } = this;\n\n    /** @type {number[]} */\n    const compact = new Array((diagonalSize * (diagonalSize + 1)) / 2);\n    for (let col = 0, row = 0, index = 0; index < compact.length; index++) {\n      compact[index] = this.get(row, col);\n\n      if (++col >= diagonalSize) col = ++row;\n    }\n\n    return compact;\n  }\n\n  /**\n   * @param {number[]} compact\n   * @return {SymmetricMatrix}\n   */\n  static fromCompact(compact) {\n    const compactSize = compact.length;\n    // compactSize = (sideSize * (sideSize + 1)) / 2\n    // https://mathsolver.microsoft.com/fr/solve-problem/y%20%3D%20%20x%20%60cdot%20%20%20%60frac%7B%20%20%60left(%20x%2B1%20%20%60right)%20%20%20%20%7D%7B%202%20%20%7D\n    // sideSize = (Sqrt(8 × compactSize + 1) - 1) / 2\n    const diagonalSize = (Math.sqrt(8 * compactSize + 1) - 1) / 2;\n\n    if (!Number.isInteger(diagonalSize)) {\n      throw new TypeError(\n        `This array is not a compact representation of a Symmetric Matrix, ${JSON.stringify(\n          compact,\n        )}`,\n      );\n    }\n\n    const matrix = new SymmetricMatrix(diagonalSize);\n    for (let col = 0, row = 0, index = 0; index < compactSize; index++) {\n      matrix.set(col, row, compact[index]);\n      if (++col >= diagonalSize) col = ++row;\n    }\n\n    return matrix;\n  }\n\n  /**\n   * half iterator upper-right-corner from left to right, from top to bottom\n   * yield [row, column, value]\n   *\n   * @returns {Generator<[number, number, number], void, void>}\n   */\n  *upperRightEntries() {\n    for (let row = 0, col = 0; row < this.diagonalSize; void 0) {\n      const value = this.get(row, col);\n\n      yield [row, col, value];\n\n      // at the end of row, move cursor to next row at diagonal position\n      if (++col >= this.diagonalSize) col = ++row;\n    }\n  }\n\n  /**\n   * half iterator upper-right-corner from left to right, from top to bottom\n   * yield value\n   *\n   * @returns {Generator<[number, number, number], void, void>}\n   */\n  *upperRightValues() {\n    for (let row = 0, col = 0; row < this.diagonalSize; void 0) {\n      const value = this.get(row, col);\n\n      yield value;\n\n      // at the end of row, move cursor to next row at diagonal position\n      if (++col >= this.diagonalSize) col = ++row;\n    }\n  }\n}\nSymmetricMatrix.prototype.klassType = 'SymmetricMatrix';\n\nclass DistanceMatrix extends SymmetricMatrix {\n  /**\n   * not the same as matrix.isSymmetric()\n   * Here is to check if it's instanceof SymmetricMatrix without bundling issues\n   *\n   * @param value\n   * @returns {boolean}\n   */\n  static isDistanceMatrix(value) {\n    return (\n      SymmetricMatrix.isSymmetricMatrix(value) &&\n      value.klassSubType === 'DistanceMatrix'\n    );\n  }\n\n  constructor(sideSize) {\n    super(sideSize);\n\n    if (!this.isDistance()) {\n      throw new TypeError('Provided arguments do no produce a distance matrix');\n    }\n  }\n\n  set(rowIndex, columnIndex, value) {\n    // distance matrix diagonal is 0\n    if (rowIndex === columnIndex) value = 0;\n\n    return super.set(rowIndex, columnIndex, value);\n  }\n\n  addCross(index, array) {\n    if (array === undefined) {\n      array = index;\n      index = this.diagonalSize;\n    }\n\n    // ensure distance\n    array = array.slice();\n    array[index] = 0;\n\n    return super.addCross(index, array);\n  }\n\n  toSymmetricMatrix() {\n    return new SymmetricMatrix(this);\n  }\n\n  clone() {\n    const matrix = new DistanceMatrix(this.diagonalSize);\n\n    for (const [row, col, value] of this.upperRightEntries()) {\n      if (row === col) continue;\n      matrix.set(row, col, value);\n    }\n\n    return matrix;\n  }\n\n  /**\n   * Compact format upper-right corner of matrix\n   * no diagonal (only zeros)\n   * iterable from left to right, from top to bottom.\n   *\n   * ```\n   *   A B C D\n   * A 0 1 2 3\n   * B 1 0 4 5\n   * C 2 4 0 6\n   * D 3 5 6 0\n   * ```\n   *\n   * will return compact 1D array `[1, 2, 3, 4, 5, 6]`\n   *\n   * length is S(i=0, n=sideSize-1) => 6 for a 4 side sized matrix\n   *\n   * @returns {number[]}\n   */\n  toCompact() {\n    const { diagonalSize } = this;\n    const compactLength = ((diagonalSize - 1) * diagonalSize) / 2;\n\n    /** @type {number[]} */\n    const compact = new Array(compactLength);\n    for (let col = 1, row = 0, index = 0; index < compact.length; index++) {\n      compact[index] = this.get(row, col);\n\n      if (++col >= diagonalSize) col = ++row + 1;\n    }\n\n    return compact;\n  }\n\n  /**\n   * @param {number[]} compact\n   */\n  static fromCompact(compact) {\n    const compactSize = compact.length;\n\n    if (compactSize === 0) {\n      return new this(0);\n    }\n\n    // compactSize in Natural integer range ]0;∞]\n    // compactSize = (sideSize * (sideSize - 1)) / 2\n    // sideSize = (Sqrt(8 × compactSize + 1) + 1) / 2\n    const diagonalSize = (Math.sqrt(8 * compactSize + 1) + 1) / 2;\n\n    if (!Number.isInteger(diagonalSize)) {\n      throw new TypeError(\n        `This array is not a compact representation of a DistanceMatrix, ${JSON.stringify(\n          compact,\n        )}`,\n      );\n    }\n\n    const matrix = new this(diagonalSize);\n    for (let col = 1, row = 0, index = 0; index < compactSize; index++) {\n      matrix.set(col, row, compact[index]);\n      if (++col >= diagonalSize) col = ++row + 1;\n    }\n\n    return matrix;\n  }\n}\nDistanceMatrix.prototype.klassSubType = 'DistanceMatrix';\n\nclass BaseView extends AbstractMatrix {\n  constructor(matrix, rows, columns) {\n    super();\n    this.matrix = matrix;\n    this.rows = rows;\n    this.columns = columns;\n  }\n}\n\nclass MatrixColumnView extends BaseView {\n  constructor(matrix, column) {\n    checkColumnIndex(matrix, column);\n    super(matrix, matrix.rows, 1);\n    this.column = column;\n  }\n\n  set(rowIndex, columnIndex, value) {\n    this.matrix.set(rowIndex, this.column, value);\n    return this;\n  }\n\n  get(rowIndex) {\n    return this.matrix.get(rowIndex, this.column);\n  }\n}\n\nclass MatrixColumnSelectionView extends BaseView {\n  constructor(matrix, columnIndices) {\n    checkColumnIndices(matrix, columnIndices);\n    super(matrix, matrix.rows, columnIndices.length);\n    this.columnIndices = columnIndices;\n  }\n\n  set(rowIndex, columnIndex, value) {\n    this.matrix.set(rowIndex, this.columnIndices[columnIndex], value);\n    return this;\n  }\n\n  get(rowIndex, columnIndex) {\n    return this.matrix.get(rowIndex, this.columnIndices[columnIndex]);\n  }\n}\n\nclass MatrixFlipColumnView extends BaseView {\n  constructor(matrix) {\n    super(matrix, matrix.rows, matrix.columns);\n  }\n\n  set(rowIndex, columnIndex, value) {\n    this.matrix.set(rowIndex, this.columns - columnIndex - 1, value);\n    return this;\n  }\n\n  get(rowIndex, columnIndex) {\n    return this.matrix.get(rowIndex, this.columns - columnIndex - 1);\n  }\n}\n\nclass MatrixFlipRowView extends BaseView {\n  constructor(matrix) {\n    super(matrix, matrix.rows, matrix.columns);\n  }\n\n  set(rowIndex, columnIndex, value) {\n    this.matrix.set(this.rows - rowIndex - 1, columnIndex, value);\n    return this;\n  }\n\n  get(rowIndex, columnIndex) {\n    return this.matrix.get(this.rows - rowIndex - 1, columnIndex);\n  }\n}\n\nclass MatrixRowView extends BaseView {\n  constructor(matrix, row) {\n    checkRowIndex(matrix, row);\n    super(matrix, 1, matrix.columns);\n    this.row = row;\n  }\n\n  set(rowIndex, columnIndex, value) {\n    this.matrix.set(this.row, columnIndex, value);\n    return this;\n  }\n\n  get(rowIndex, columnIndex) {\n    return this.matrix.get(this.row, columnIndex);\n  }\n}\n\nclass MatrixRowSelectionView extends BaseView {\n  constructor(matrix, rowIndices) {\n    checkRowIndices(matrix, rowIndices);\n    super(matrix, rowIndices.length, matrix.columns);\n    this.rowIndices = rowIndices;\n  }\n\n  set(rowIndex, columnIndex, value) {\n    this.matrix.set(this.rowIndices[rowIndex], columnIndex, value);\n    return this;\n  }\n\n  get(rowIndex, columnIndex) {\n    return this.matrix.get(this.rowIndices[rowIndex], columnIndex);\n  }\n}\n\nclass MatrixSelectionView extends BaseView {\n  constructor(matrix, rowIndices, columnIndices) {\n    checkRowIndices(matrix, rowIndices);\n    checkColumnIndices(matrix, columnIndices);\n    super(matrix, rowIndices.length, columnIndices.length);\n    this.rowIndices = rowIndices;\n    this.columnIndices = columnIndices;\n  }\n\n  set(rowIndex, columnIndex, value) {\n    this.matrix.set(\n      this.rowIndices[rowIndex],\n      this.columnIndices[columnIndex],\n      value,\n    );\n    return this;\n  }\n\n  get(rowIndex, columnIndex) {\n    return this.matrix.get(\n      this.rowIndices[rowIndex],\n      this.columnIndices[columnIndex],\n    );\n  }\n}\n\nclass MatrixSubView extends BaseView {\n  constructor(matrix, startRow, endRow, startColumn, endColumn) {\n    checkRange(matrix, startRow, endRow, startColumn, endColumn);\n    super(matrix, endRow - startRow + 1, endColumn - startColumn + 1);\n    this.startRow = startRow;\n    this.startColumn = startColumn;\n  }\n\n  set(rowIndex, columnIndex, value) {\n    this.matrix.set(\n      this.startRow + rowIndex,\n      this.startColumn + columnIndex,\n      value,\n    );\n    return this;\n  }\n\n  get(rowIndex, columnIndex) {\n    return this.matrix.get(\n      this.startRow + rowIndex,\n      this.startColumn + columnIndex,\n    );\n  }\n}\n\nclass MatrixTransposeView extends BaseView {\n  constructor(matrix) {\n    super(matrix, matrix.columns, matrix.rows);\n  }\n\n  set(rowIndex, columnIndex, value) {\n    this.matrix.set(columnIndex, rowIndex, value);\n    return this;\n  }\n\n  get(rowIndex, columnIndex) {\n    return this.matrix.get(columnIndex, rowIndex);\n  }\n}\n\nclass WrapperMatrix1D extends AbstractMatrix {\n  constructor(data, options = {}) {\n    const { rows = 1 } = options;\n\n    if (data.length % rows !== 0) {\n      throw new Error('the data length is not divisible by the number of rows');\n    }\n    super();\n    this.rows = rows;\n    this.columns = data.length / rows;\n    this.data = data;\n  }\n\n  set(rowIndex, columnIndex, value) {\n    let index = this._calculateIndex(rowIndex, columnIndex);\n    this.data[index] = value;\n    return this;\n  }\n\n  get(rowIndex, columnIndex) {\n    let index = this._calculateIndex(rowIndex, columnIndex);\n    return this.data[index];\n  }\n\n  _calculateIndex(row, column) {\n    return row * this.columns + column;\n  }\n}\n\nclass WrapperMatrix2D extends AbstractMatrix {\n  constructor(data) {\n    super();\n    this.data = data;\n    this.rows = data.length;\n    this.columns = data[0].length;\n  }\n\n  set(rowIndex, columnIndex, value) {\n    this.data[rowIndex][columnIndex] = value;\n    return this;\n  }\n\n  get(rowIndex, columnIndex) {\n    return this.data[rowIndex][columnIndex];\n  }\n}\n\nfunction wrap(array, options) {\n  if (isAnyArray.isAnyArray(array)) {\n    if (array[0] && isAnyArray.isAnyArray(array[0])) {\n      return new WrapperMatrix2D(array);\n    } else {\n      return new WrapperMatrix1D(array, options);\n    }\n  } else {\n    throw new Error('the argument is not an array');\n  }\n}\n\nclass LuDecomposition {\n  constructor(matrix) {\n    matrix = WrapperMatrix2D.checkMatrix(matrix);\n\n    let lu = matrix.clone();\n    let rows = lu.rows;\n    let columns = lu.columns;\n    let pivotVector = new Float64Array(rows);\n    let pivotSign = 1;\n    let i, j, k, p, s, t, v;\n    let LUcolj, kmax;\n\n    for (i = 0; i < rows; i++) {\n      pivotVector[i] = i;\n    }\n\n    LUcolj = new Float64Array(rows);\n\n    for (j = 0; j < columns; j++) {\n      for (i = 0; i < rows; i++) {\n        LUcolj[i] = lu.get(i, j);\n      }\n\n      for (i = 0; i < rows; i++) {\n        kmax = Math.min(i, j);\n        s = 0;\n        for (k = 0; k < kmax; k++) {\n          s += lu.get(i, k) * LUcolj[k];\n        }\n        LUcolj[i] -= s;\n        lu.set(i, j, LUcolj[i]);\n      }\n\n      p = j;\n      for (i = j + 1; i < rows; i++) {\n        if (Math.abs(LUcolj[i]) > Math.abs(LUcolj[p])) {\n          p = i;\n        }\n      }\n\n      if (p !== j) {\n        for (k = 0; k < columns; k++) {\n          t = lu.get(p, k);\n          lu.set(p, k, lu.get(j, k));\n          lu.set(j, k, t);\n        }\n\n        v = pivotVector[p];\n        pivotVector[p] = pivotVector[j];\n        pivotVector[j] = v;\n\n        pivotSign = -pivotSign;\n      }\n\n      if (j < rows && lu.get(j, j) !== 0) {\n        for (i = j + 1; i < rows; i++) {\n          lu.set(i, j, lu.get(i, j) / lu.get(j, j));\n        }\n      }\n    }\n\n    this.LU = lu;\n    this.pivotVector = pivotVector;\n    this.pivotSign = pivotSign;\n  }\n\n  isSingular() {\n    let data = this.LU;\n    let col = data.columns;\n    for (let j = 0; j < col; j++) {\n      if (data.get(j, j) === 0) {\n        return true;\n      }\n    }\n    return false;\n  }\n\n  solve(value) {\n    value = Matrix.checkMatrix(value);\n\n    let lu = this.LU;\n    let rows = lu.rows;\n\n    if (rows !== value.rows) {\n      throw new Error('Invalid matrix dimensions');\n    }\n    if (this.isSingular()) {\n      throw new Error('LU matrix is singular');\n    }\n\n    let count = value.columns;\n    let X = value.subMatrixRow(this.pivotVector, 0, count - 1);\n    let columns = lu.columns;\n    let i, j, k;\n\n    for (k = 0; k < columns; k++) {\n      for (i = k + 1; i < columns; i++) {\n        for (j = 0; j < count; j++) {\n          X.set(i, j, X.get(i, j) - X.get(k, j) * lu.get(i, k));\n        }\n      }\n    }\n    for (k = columns - 1; k >= 0; k--) {\n      for (j = 0; j < count; j++) {\n        X.set(k, j, X.get(k, j) / lu.get(k, k));\n      }\n      for (i = 0; i < k; i++) {\n        for (j = 0; j < count; j++) {\n          X.set(i, j, X.get(i, j) - X.get(k, j) * lu.get(i, k));\n        }\n      }\n    }\n    return X;\n  }\n\n  get determinant() {\n    let data = this.LU;\n    if (!data.isSquare()) {\n      throw new Error('Matrix must be square');\n    }\n    let determinant = this.pivotSign;\n    let col = data.columns;\n    for (let j = 0; j < col; j++) {\n      determinant *= data.get(j, j);\n    }\n    return determinant;\n  }\n\n  get lowerTriangularMatrix() {\n    let data = this.LU;\n    let rows = data.rows;\n    let columns = data.columns;\n    let X = new Matrix(rows, columns);\n    for (let i = 0; i < rows; i++) {\n      for (let j = 0; j < columns; j++) {\n        if (i > j) {\n          X.set(i, j, data.get(i, j));\n        } else if (i === j) {\n          X.set(i, j, 1);\n        } else {\n          X.set(i, j, 0);\n        }\n      }\n    }\n    return X;\n  }\n\n  get upperTriangularMatrix() {\n    let data = this.LU;\n    let rows = data.rows;\n    let columns = data.columns;\n    let X = new Matrix(rows, columns);\n    for (let i = 0; i < rows; i++) {\n      for (let j = 0; j < columns; j++) {\n        if (i <= j) {\n          X.set(i, j, data.get(i, j));\n        } else {\n          X.set(i, j, 0);\n        }\n      }\n    }\n    return X;\n  }\n\n  get pivotPermutationVector() {\n    return Array.from(this.pivotVector);\n  }\n}\n\nfunction hypotenuse(a, b) {\n  let r = 0;\n  if (Math.abs(a) > Math.abs(b)) {\n    r = b / a;\n    return Math.abs(a) * Math.sqrt(1 + r * r);\n  }\n  if (b !== 0) {\n    r = a / b;\n    return Math.abs(b) * Math.sqrt(1 + r * r);\n  }\n  return 0;\n}\n\nclass QrDecomposition {\n  constructor(value) {\n    value = WrapperMatrix2D.checkMatrix(value);\n\n    let qr = value.clone();\n    let m = value.rows;\n    let n = value.columns;\n    let rdiag = new Float64Array(n);\n    let i, j, k, s;\n\n    for (k = 0; k < n; k++) {\n      let nrm = 0;\n      for (i = k; i < m; i++) {\n        nrm = hypotenuse(nrm, qr.get(i, k));\n      }\n      if (nrm !== 0) {\n        if (qr.get(k, k) < 0) {\n          nrm = -nrm;\n        }\n        for (i = k; i < m; i++) {\n          qr.set(i, k, qr.get(i, k) / nrm);\n        }\n        qr.set(k, k, qr.get(k, k) + 1);\n        for (j = k + 1; j < n; j++) {\n          s = 0;\n          for (i = k; i < m; i++) {\n            s += qr.get(i, k) * qr.get(i, j);\n          }\n          s = -s / qr.get(k, k);\n          for (i = k; i < m; i++) {\n            qr.set(i, j, qr.get(i, j) + s * qr.get(i, k));\n          }\n        }\n      }\n      rdiag[k] = -nrm;\n    }\n\n    this.QR = qr;\n    this.Rdiag = rdiag;\n  }\n\n  solve(value) {\n    value = Matrix.checkMatrix(value);\n\n    let qr = this.QR;\n    let m = qr.rows;\n\n    if (value.rows !== m) {\n      throw new Error('Matrix row dimensions must agree');\n    }\n    if (!this.isFullRank()) {\n      throw new Error('Matrix is rank deficient');\n    }\n\n    let count = value.columns;\n    let X = value.clone();\n    let n = qr.columns;\n    let i, j, k, s;\n\n    for (k = 0; k < n; k++) {\n      for (j = 0; j < count; j++) {\n        s = 0;\n        for (i = k; i < m; i++) {\n          s += qr.get(i, k) * X.get(i, j);\n        }\n        s = -s / qr.get(k, k);\n        for (i = k; i < m; i++) {\n          X.set(i, j, X.get(i, j) + s * qr.get(i, k));\n        }\n      }\n    }\n    for (k = n - 1; k >= 0; k--) {\n      for (j = 0; j < count; j++) {\n        X.set(k, j, X.get(k, j) / this.Rdiag[k]);\n      }\n      for (i = 0; i < k; i++) {\n        for (j = 0; j < count; j++) {\n          X.set(i, j, X.get(i, j) - X.get(k, j) * qr.get(i, k));\n        }\n      }\n    }\n\n    return X.subMatrix(0, n - 1, 0, count - 1);\n  }\n\n  isFullRank() {\n    let columns = this.QR.columns;\n    for (let i = 0; i < columns; i++) {\n      if (this.Rdiag[i] === 0) {\n        return false;\n      }\n    }\n    return true;\n  }\n\n  get upperTriangularMatrix() {\n    let qr = this.QR;\n    let n = qr.columns;\n    let X = new Matrix(n, n);\n    let i, j;\n    for (i = 0; i < n; i++) {\n      for (j = 0; j < n; j++) {\n        if (i < j) {\n          X.set(i, j, qr.get(i, j));\n        } else if (i === j) {\n          X.set(i, j, this.Rdiag[i]);\n        } else {\n          X.set(i, j, 0);\n        }\n      }\n    }\n    return X;\n  }\n\n  get orthogonalMatrix() {\n    let qr = this.QR;\n    let rows = qr.rows;\n    let columns = qr.columns;\n    let X = new Matrix(rows, columns);\n    let i, j, k, s;\n\n    for (k = columns - 1; k >= 0; k--) {\n      for (i = 0; i < rows; i++) {\n        X.set(i, k, 0);\n      }\n      X.set(k, k, 1);\n      for (j = k; j < columns; j++) {\n        if (qr.get(k, k) !== 0) {\n          s = 0;\n          for (i = k; i < rows; i++) {\n            s += qr.get(i, k) * X.get(i, j);\n          }\n\n          s = -s / qr.get(k, k);\n\n          for (i = k; i < rows; i++) {\n            X.set(i, j, X.get(i, j) + s * qr.get(i, k));\n          }\n        }\n      }\n    }\n    return X;\n  }\n}\n\nclass SingularValueDecomposition {\n  constructor(value, options = {}) {\n    value = WrapperMatrix2D.checkMatrix(value);\n\n    if (value.isEmpty()) {\n      throw new Error('Matrix must be non-empty');\n    }\n\n    let m = value.rows;\n    let n = value.columns;\n\n    const {\n      computeLeftSingularVectors = true,\n      computeRightSingularVectors = true,\n      autoTranspose = false,\n    } = options;\n\n    let wantu = Boolean(computeLeftSingularVectors);\n    let wantv = Boolean(computeRightSingularVectors);\n\n    let swapped = false;\n    let a;\n    if (m < n) {\n      if (!autoTranspose) {\n        a = value.clone();\n        // eslint-disable-next-line no-console\n        console.warn(\n          'Computing SVD on a matrix with more columns than rows. Consider enabling autoTranspose',\n        );\n      } else {\n        a = value.transpose();\n        m = a.rows;\n        n = a.columns;\n        swapped = true;\n        let aux = wantu;\n        wantu = wantv;\n        wantv = aux;\n      }\n    } else {\n      a = value.clone();\n    }\n\n    let nu = Math.min(m, n);\n    let ni = Math.min(m + 1, n);\n    let s = new Float64Array(ni);\n    let U = new Matrix(m, nu);\n    let V = new Matrix(n, n);\n\n    let e = new Float64Array(n);\n    let work = new Float64Array(m);\n\n    let si = new Float64Array(ni);\n    for (let i = 0; i < ni; i++) si[i] = i;\n\n    let nct = Math.min(m - 1, n);\n    let nrt = Math.max(0, Math.min(n - 2, m));\n    let mrc = Math.max(nct, nrt);\n\n    for (let k = 0; k < mrc; k++) {\n      if (k < nct) {\n        s[k] = 0;\n        for (let i = k; i < m; i++) {\n          s[k] = hypotenuse(s[k], a.get(i, k));\n        }\n        if (s[k] !== 0) {\n          if (a.get(k, k) < 0) {\n            s[k] = -s[k];\n          }\n          for (let i = k; i < m; i++) {\n            a.set(i, k, a.get(i, k) / s[k]);\n          }\n          a.set(k, k, a.get(k, k) + 1);\n        }\n        s[k] = -s[k];\n      }\n\n      for (let j = k + 1; j < n; j++) {\n        if (k < nct && s[k] !== 0) {\n          let t = 0;\n          for (let i = k; i < m; i++) {\n            t += a.get(i, k) * a.get(i, j);\n          }\n          t = -t / a.get(k, k);\n          for (let i = k; i < m; i++) {\n            a.set(i, j, a.get(i, j) + t * a.get(i, k));\n          }\n        }\n        e[j] = a.get(k, j);\n      }\n\n      if (wantu && k < nct) {\n        for (let i = k; i < m; i++) {\n          U.set(i, k, a.get(i, k));\n        }\n      }\n\n      if (k < nrt) {\n        e[k] = 0;\n        for (let i = k + 1; i < n; i++) {\n          e[k] = hypotenuse(e[k], e[i]);\n        }\n        if (e[k] !== 0) {\n          if (e[k + 1] < 0) {\n            e[k] = 0 - e[k];\n          }\n          for (let i = k + 1; i < n; i++) {\n            e[i] /= e[k];\n          }\n          e[k + 1] += 1;\n        }\n        e[k] = -e[k];\n        if (k + 1 < m && e[k] !== 0) {\n          for (let i = k + 1; i < m; i++) {\n            work[i] = 0;\n          }\n          for (let i = k + 1; i < m; i++) {\n            for (let j = k + 1; j < n; j++) {\n              work[i] += e[j] * a.get(i, j);\n            }\n          }\n          for (let j = k + 1; j < n; j++) {\n            let t = -e[j] / e[k + 1];\n            for (let i = k + 1; i < m; i++) {\n              a.set(i, j, a.get(i, j) + t * work[i]);\n            }\n          }\n        }\n        if (wantv) {\n          for (let i = k + 1; i < n; i++) {\n            V.set(i, k, e[i]);\n          }\n        }\n      }\n    }\n\n    let p = Math.min(n, m + 1);\n    if (nct < n) {\n      s[nct] = a.get(nct, nct);\n    }\n    if (m < p) {\n      s[p - 1] = 0;\n    }\n    if (nrt + 1 < p) {\n      e[nrt] = a.get(nrt, p - 1);\n    }\n    e[p - 1] = 0;\n\n    if (wantu) {\n      for (let j = nct; j < nu; j++) {\n        for (let i = 0; i < m; i++) {\n          U.set(i, j, 0);\n        }\n        U.set(j, j, 1);\n      }\n      for (let k = nct - 1; k >= 0; k--) {\n        if (s[k] !== 0) {\n          for (let j = k + 1; j < nu; j++) {\n            let t = 0;\n            for (let i = k; i < m; i++) {\n              t += U.get(i, k) * U.get(i, j);\n            }\n            t = -t / U.get(k, k);\n            for (let i = k; i < m; i++) {\n              U.set(i, j, U.get(i, j) + t * U.get(i, k));\n            }\n          }\n          for (let i = k; i < m; i++) {\n            U.set(i, k, -U.get(i, k));\n          }\n          U.set(k, k, 1 + U.get(k, k));\n          for (let i = 0; i < k - 1; i++) {\n            U.set(i, k, 0);\n          }\n        } else {\n          for (let i = 0; i < m; i++) {\n            U.set(i, k, 0);\n          }\n          U.set(k, k, 1);\n        }\n      }\n    }\n\n    if (wantv) {\n      for (let k = n - 1; k >= 0; k--) {\n        if (k < nrt && e[k] !== 0) {\n          for (let j = k + 1; j < n; j++) {\n            let t = 0;\n            for (let i = k + 1; i < n; i++) {\n              t += V.get(i, k) * V.get(i, j);\n            }\n            t = -t / V.get(k + 1, k);\n            for (let i = k + 1; i < n; i++) {\n              V.set(i, j, V.get(i, j) + t * V.get(i, k));\n            }\n          }\n        }\n        for (let i = 0; i < n; i++) {\n          V.set(i, k, 0);\n        }\n        V.set(k, k, 1);\n      }\n    }\n\n    let pp = p - 1;\n    let eps = Number.EPSILON;\n    while (p > 0) {\n      let k, kase;\n      for (k = p - 2; k >= -1; k--) {\n        if (k === -1) {\n          break;\n        }\n        const alpha =\n          Number.MIN_VALUE + eps * Math.abs(s[k] + Math.abs(s[k + 1]));\n        if (Math.abs(e[k]) <= alpha || Number.isNaN(e[k])) {\n          e[k] = 0;\n          break;\n        }\n      }\n      if (k === p - 2) {\n        kase = 4;\n      } else {\n        let ks;\n        for (ks = p - 1; ks >= k; ks--) {\n          if (ks === k) {\n            break;\n          }\n          let t =\n            (ks !== p ? Math.abs(e[ks]) : 0) +\n            (ks !== k + 1 ? Math.abs(e[ks - 1]) : 0);\n          if (Math.abs(s[ks]) <= eps * t) {\n            s[ks] = 0;\n            break;\n          }\n        }\n        if (ks === k) {\n          kase = 3;\n        } else if (ks === p - 1) {\n          kase = 1;\n        } else {\n          kase = 2;\n          k = ks;\n        }\n      }\n\n      k++;\n\n      switch (kase) {\n        case 1: {\n          let f = e[p - 2];\n          e[p - 2] = 0;\n          for (let j = p - 2; j >= k; j--) {\n            let t = hypotenuse(s[j], f);\n            let cs = s[j] / t;\n            let sn = f / t;\n            s[j] = t;\n            if (j !== k) {\n              f = -sn * e[j - 1];\n              e[j - 1] = cs * e[j - 1];\n            }\n            if (wantv) {\n              for (let i = 0; i < n; i++) {\n                t = cs * V.get(i, j) + sn * V.get(i, p - 1);\n                V.set(i, p - 1, -sn * V.get(i, j) + cs * V.get(i, p - 1));\n                V.set(i, j, t);\n              }\n            }\n          }\n          break;\n        }\n        case 2: {\n          let f = e[k - 1];\n          e[k - 1] = 0;\n          for (let j = k; j < p; j++) {\n            let t = hypotenuse(s[j], f);\n            let cs = s[j] / t;\n            let sn = f / t;\n            s[j] = t;\n            f = -sn * e[j];\n            e[j] = cs * e[j];\n            if (wantu) {\n              for (let i = 0; i < m; i++) {\n                t = cs * U.get(i, j) + sn * U.get(i, k - 1);\n                U.set(i, k - 1, -sn * U.get(i, j) + cs * U.get(i, k - 1));\n                U.set(i, j, t);\n              }\n            }\n          }\n          break;\n        }\n        case 3: {\n          const scale = Math.max(\n            Math.abs(s[p - 1]),\n            Math.abs(s[p - 2]),\n            Math.abs(e[p - 2]),\n            Math.abs(s[k]),\n            Math.abs(e[k]),\n          );\n          const sp = s[p - 1] / scale;\n          const spm1 = s[p - 2] / scale;\n          const epm1 = e[p - 2] / scale;\n          const sk = s[k] / scale;\n          const ek = e[k] / scale;\n          const b = ((spm1 + sp) * (spm1 - sp) + epm1 * epm1) / 2;\n          const c = sp * epm1 * (sp * epm1);\n          let shift = 0;\n          if (b !== 0 || c !== 0) {\n            if (b < 0) {\n              shift = 0 - Math.sqrt(b * b + c);\n            } else {\n              shift = Math.sqrt(b * b + c);\n            }\n            shift = c / (b + shift);\n          }\n          let f = (sk + sp) * (sk - sp) + shift;\n          let g = sk * ek;\n          for (let j = k; j < p - 1; j++) {\n            let t = hypotenuse(f, g);\n            if (t === 0) t = Number.MIN_VALUE;\n            let cs = f / t;\n            let sn = g / t;\n            if (j !== k) {\n              e[j - 1] = t;\n            }\n            f = cs * s[j] + sn * e[j];\n            e[j] = cs * e[j] - sn * s[j];\n            g = sn * s[j + 1];\n            s[j + 1] = cs * s[j + 1];\n            if (wantv) {\n              for (let i = 0; i < n; i++) {\n                t = cs * V.get(i, j) + sn * V.get(i, j + 1);\n                V.set(i, j + 1, -sn * V.get(i, j) + cs * V.get(i, j + 1));\n                V.set(i, j, t);\n              }\n            }\n            t = hypotenuse(f, g);\n            if (t === 0) t = Number.MIN_VALUE;\n            cs = f / t;\n            sn = g / t;\n            s[j] = t;\n            f = cs * e[j] + sn * s[j + 1];\n            s[j + 1] = -sn * e[j] + cs * s[j + 1];\n            g = sn * e[j + 1];\n            e[j + 1] = cs * e[j + 1];\n            if (wantu && j < m - 1) {\n              for (let i = 0; i < m; i++) {\n                t = cs * U.get(i, j) + sn * U.get(i, j + 1);\n                U.set(i, j + 1, -sn * U.get(i, j) + cs * U.get(i, j + 1));\n                U.set(i, j, t);\n              }\n            }\n          }\n          e[p - 2] = f;\n          break;\n        }\n        case 4: {\n          if (s[k] <= 0) {\n            s[k] = s[k] < 0 ? -s[k] : 0;\n            if (wantv) {\n              for (let i = 0; i <= pp; i++) {\n                V.set(i, k, -V.get(i, k));\n              }\n            }\n          }\n          while (k < pp) {\n            if (s[k] >= s[k + 1]) {\n              break;\n            }\n            let t = s[k];\n            s[k] = s[k + 1];\n            s[k + 1] = t;\n            if (wantv && k < n - 1) {\n              for (let i = 0; i < n; i++) {\n                t = V.get(i, k + 1);\n                V.set(i, k + 1, V.get(i, k));\n                V.set(i, k, t);\n              }\n            }\n            if (wantu && k < m - 1) {\n              for (let i = 0; i < m; i++) {\n                t = U.get(i, k + 1);\n                U.set(i, k + 1, U.get(i, k));\n                U.set(i, k, t);\n              }\n            }\n            k++;\n          }\n          p--;\n          break;\n        }\n        // no default\n      }\n    }\n\n    if (swapped) {\n      let tmp = V;\n      V = U;\n      U = tmp;\n    }\n\n    this.m = m;\n    this.n = n;\n    this.s = s;\n    this.U = U;\n    this.V = V;\n  }\n\n  solve(value) {\n    let Y = value;\n    let e = this.threshold;\n    let scols = this.s.length;\n    let Ls = Matrix.zeros(scols, scols);\n\n    for (let i = 0; i < scols; i++) {\n      if (Math.abs(this.s[i]) <= e) {\n        Ls.set(i, i, 0);\n      } else {\n        Ls.set(i, i, 1 / this.s[i]);\n      }\n    }\n\n    let U = this.U;\n    let V = this.rightSingularVectors;\n\n    let VL = V.mmul(Ls);\n    let vrows = V.rows;\n    let urows = U.rows;\n    let VLU = Matrix.zeros(vrows, urows);\n\n    for (let i = 0; i < vrows; i++) {\n      for (let j = 0; j < urows; j++) {\n        let sum = 0;\n        for (let k = 0; k < scols; k++) {\n          sum += VL.get(i, k) * U.get(j, k);\n        }\n        VLU.set(i, j, sum);\n      }\n    }\n\n    return VLU.mmul(Y);\n  }\n\n  solveForDiagonal(value) {\n    return this.solve(Matrix.diag(value));\n  }\n\n  inverse() {\n    let V = this.V;\n    let e = this.threshold;\n    let vrows = V.rows;\n    let vcols = V.columns;\n    let X = new Matrix(vrows, this.s.length);\n\n    for (let i = 0; i < vrows; i++) {\n      for (let j = 0; j < vcols; j++) {\n        if (Math.abs(this.s[j]) > e) {\n          X.set(i, j, V.get(i, j) / this.s[j]);\n        }\n      }\n    }\n\n    let U = this.U;\n\n    let urows = U.rows;\n    let ucols = U.columns;\n    let Y = new Matrix(vrows, urows);\n\n    for (let i = 0; i < vrows; i++) {\n      for (let j = 0; j < urows; j++) {\n        let sum = 0;\n        for (let k = 0; k < ucols; k++) {\n          sum += X.get(i, k) * U.get(j, k);\n        }\n        Y.set(i, j, sum);\n      }\n    }\n\n    return Y;\n  }\n\n  get condition() {\n    return this.s[0] / this.s[Math.min(this.m, this.n) - 1];\n  }\n\n  get norm2() {\n    return this.s[0];\n  }\n\n  get rank() {\n    let tol = Math.max(this.m, this.n) * this.s[0] * Number.EPSILON;\n    let r = 0;\n    let s = this.s;\n    for (let i = 0, ii = s.length; i < ii; i++) {\n      if (s[i] > tol) {\n        r++;\n      }\n    }\n    return r;\n  }\n\n  get diagonal() {\n    return Array.from(this.s);\n  }\n\n  get threshold() {\n    return (Number.EPSILON / 2) * Math.max(this.m, this.n) * this.s[0];\n  }\n\n  get leftSingularVectors() {\n    return this.U;\n  }\n\n  get rightSingularVectors() {\n    return this.V;\n  }\n\n  get diagonalMatrix() {\n    return Matrix.diag(this.s);\n  }\n}\n\nfunction inverse(matrix, useSVD = false) {\n  matrix = WrapperMatrix2D.checkMatrix(matrix);\n  if (useSVD) {\n    return new SingularValueDecomposition(matrix).inverse();\n  } else {\n    return solve(matrix, Matrix.eye(matrix.rows));\n  }\n}\n\nfunction solve(leftHandSide, rightHandSide, useSVD = false) {\n  leftHandSide = WrapperMatrix2D.checkMatrix(leftHandSide);\n  rightHandSide = WrapperMatrix2D.checkMatrix(rightHandSide);\n  if (useSVD) {\n    return new SingularValueDecomposition(leftHandSide).solve(rightHandSide);\n  } else {\n    return leftHandSide.isSquare()\n      ? new LuDecomposition(leftHandSide).solve(rightHandSide)\n      : new QrDecomposition(leftHandSide).solve(rightHandSide);\n  }\n}\n\nfunction determinant(matrix) {\n  matrix = Matrix.checkMatrix(matrix);\n  if (matrix.isSquare()) {\n    if (matrix.columns === 0) {\n      return 1;\n    }\n\n    let a, b, c, d;\n    if (matrix.columns === 2) {\n      // 2 x 2 matrix\n      a = matrix.get(0, 0);\n      b = matrix.get(0, 1);\n      c = matrix.get(1, 0);\n      d = matrix.get(1, 1);\n\n      return a * d - b * c;\n    } else if (matrix.columns === 3) {\n      // 3 x 3 matrix\n      let subMatrix0, subMatrix1, subMatrix2;\n      subMatrix0 = new MatrixSelectionView(matrix, [1, 2], [1, 2]);\n      subMatrix1 = new MatrixSelectionView(matrix, [1, 2], [0, 2]);\n      subMatrix2 = new MatrixSelectionView(matrix, [1, 2], [0, 1]);\n      a = matrix.get(0, 0);\n      b = matrix.get(0, 1);\n      c = matrix.get(0, 2);\n\n      return (\n        a * determinant(subMatrix0) -\n        b * determinant(subMatrix1) +\n        c * determinant(subMatrix2)\n      );\n    } else {\n      // general purpose determinant using the LU decomposition\n      return new LuDecomposition(matrix).determinant;\n    }\n  } else {\n    throw Error('determinant can only be calculated for a square matrix');\n  }\n}\n\nfunction xrange(n, exception) {\n  let range = [];\n  for (let i = 0; i < n; i++) {\n    if (i !== exception) {\n      range.push(i);\n    }\n  }\n  return range;\n}\n\nfunction dependenciesOneRow(\n  error,\n  matrix,\n  index,\n  thresholdValue = 10e-10,\n  thresholdError = 10e-10,\n) {\n  if (error > thresholdError) {\n    return new Array(matrix.rows + 1).fill(0);\n  } else {\n    let returnArray = matrix.addRow(index, [0]);\n    for (let i = 0; i < returnArray.rows; i++) {\n      if (Math.abs(returnArray.get(i, 0)) < thresholdValue) {\n        returnArray.set(i, 0, 0);\n      }\n    }\n    return returnArray.to1DArray();\n  }\n}\n\nfunction linearDependencies(matrix, options = {}) {\n  const { thresholdValue = 10e-10, thresholdError = 10e-10 } = options;\n  matrix = Matrix.checkMatrix(matrix);\n\n  let n = matrix.rows;\n  let results = new Matrix(n, n);\n\n  for (let i = 0; i < n; i++) {\n    let b = Matrix.columnVector(matrix.getRow(i));\n    let Abis = matrix.subMatrixRow(xrange(n, i)).transpose();\n    let svd = new SingularValueDecomposition(Abis);\n    let x = svd.solve(b);\n    let error = Matrix.sub(b, Abis.mmul(x)).abs().max();\n    results.setRow(\n      i,\n      dependenciesOneRow(error, x, i, thresholdValue, thresholdError),\n    );\n  }\n  return results;\n}\n\nfunction pseudoInverse(matrix, threshold = Number.EPSILON) {\n  matrix = Matrix.checkMatrix(matrix);\n  if (matrix.isEmpty()) {\n    // with a zero dimension, the pseudo-inverse is the transpose, since all 0xn and nx0 matrices are singular\n    // (0xn)*(nx0)*(0xn) = 0xn\n    // (nx0)*(0xn)*(nx0) = nx0\n    return matrix.transpose();\n  }\n  let svdSolution = new SingularValueDecomposition(matrix, { autoTranspose: true });\n\n  let U = svdSolution.leftSingularVectors;\n  let V = svdSolution.rightSingularVectors;\n  let s = svdSolution.diagonal;\n\n  for (let i = 0; i < s.length; i++) {\n    if (Math.abs(s[i]) > threshold) {\n      s[i] = 1.0 / s[i];\n    } else {\n      s[i] = 0.0;\n    }\n  }\n\n  return V.mmul(Matrix.diag(s).mmul(U.transpose()));\n}\n\nfunction covariance(xMatrix, yMatrix = xMatrix, options = {}) {\n  xMatrix = new Matrix(xMatrix);\n  let yIsSame = false;\n  if (\n    typeof yMatrix === 'object' &&\n    !Matrix.isMatrix(yMatrix) &&\n    !isAnyArray.isAnyArray(yMatrix)\n  ) {\n    options = yMatrix;\n    yMatrix = xMatrix;\n    yIsSame = true;\n  } else {\n    yMatrix = new Matrix(yMatrix);\n  }\n  if (xMatrix.rows !== yMatrix.rows) {\n    throw new TypeError('Both matrices must have the same number of rows');\n  }\n  const { center = true } = options;\n  if (center) {\n    xMatrix = xMatrix.center('column');\n    if (!yIsSame) {\n      yMatrix = yMatrix.center('column');\n    }\n  }\n  const cov = xMatrix.transpose().mmul(yMatrix);\n  for (let i = 0; i < cov.rows; i++) {\n    for (let j = 0; j < cov.columns; j++) {\n      cov.set(i, j, cov.get(i, j) * (1 / (xMatrix.rows - 1)));\n    }\n  }\n  return cov;\n}\n\nfunction correlation(xMatrix, yMatrix = xMatrix, options = {}) {\n  xMatrix = new Matrix(xMatrix);\n  let yIsSame = false;\n  if (\n    typeof yMatrix === 'object' &&\n    !Matrix.isMatrix(yMatrix) &&\n    !isAnyArray.isAnyArray(yMatrix)\n  ) {\n    options = yMatrix;\n    yMatrix = xMatrix;\n    yIsSame = true;\n  } else {\n    yMatrix = new Matrix(yMatrix);\n  }\n  if (xMatrix.rows !== yMatrix.rows) {\n    throw new TypeError('Both matrices must have the same number of rows');\n  }\n\n  const { center = true, scale = true } = options;\n  if (center) {\n    xMatrix.center('column');\n    if (!yIsSame) {\n      yMatrix.center('column');\n    }\n  }\n  if (scale) {\n    xMatrix.scale('column');\n    if (!yIsSame) {\n      yMatrix.scale('column');\n    }\n  }\n\n  const sdx = xMatrix.standardDeviation('column', { unbiased: true });\n  const sdy = yIsSame\n    ? sdx\n    : yMatrix.standardDeviation('column', { unbiased: true });\n\n  const corr = xMatrix.transpose().mmul(yMatrix);\n  for (let i = 0; i < corr.rows; i++) {\n    for (let j = 0; j < corr.columns; j++) {\n      corr.set(\n        i,\n        j,\n        corr.get(i, j) * (1 / (sdx[i] * sdy[j])) * (1 / (xMatrix.rows - 1)),\n      );\n    }\n  }\n  return corr;\n}\n\nclass EigenvalueDecomposition {\n  constructor(matrix, options = {}) {\n    const { assumeSymmetric = false } = options;\n\n    matrix = WrapperMatrix2D.checkMatrix(matrix);\n    if (!matrix.isSquare()) {\n      throw new Error('Matrix is not a square matrix');\n    }\n\n    if (matrix.isEmpty()) {\n      throw new Error('Matrix must be non-empty');\n    }\n\n    let n = matrix.columns;\n    let V = new Matrix(n, n);\n    let d = new Float64Array(n);\n    let e = new Float64Array(n);\n    let value = matrix;\n    let i, j;\n\n    let isSymmetric = false;\n    if (assumeSymmetric) {\n      isSymmetric = true;\n    } else {\n      isSymmetric = matrix.isSymmetric();\n    }\n\n    if (isSymmetric) {\n      for (i = 0; i < n; i++) {\n        for (j = 0; j < n; j++) {\n          V.set(i, j, value.get(i, j));\n        }\n      }\n      tred2(n, e, d, V);\n      tql2(n, e, d, V);\n    } else {\n      let H = new Matrix(n, n);\n      let ort = new Float64Array(n);\n      for (j = 0; j < n; j++) {\n        for (i = 0; i < n; i++) {\n          H.set(i, j, value.get(i, j));\n        }\n      }\n      orthes(n, H, ort, V);\n      hqr2(n, e, d, V, H);\n    }\n\n    this.n = n;\n    this.e = e;\n    this.d = d;\n    this.V = V;\n  }\n\n  get realEigenvalues() {\n    return Array.from(this.d);\n  }\n\n  get imaginaryEigenvalues() {\n    return Array.from(this.e);\n  }\n\n  get eigenvectorMatrix() {\n    return this.V;\n  }\n\n  get diagonalMatrix() {\n    let n = this.n;\n    let e = this.e;\n    let d = this.d;\n    let X = new Matrix(n, n);\n    let i, j;\n    for (i = 0; i < n; i++) {\n      for (j = 0; j < n; j++) {\n        X.set(i, j, 0);\n      }\n      X.set(i, i, d[i]);\n      if (e[i] > 0) {\n        X.set(i, i + 1, e[i]);\n      } else if (e[i] < 0) {\n        X.set(i, i - 1, e[i]);\n      }\n    }\n    return X;\n  }\n}\n\nfunction tred2(n, e, d, V) {\n  let f, g, h, i, j, k, hh, scale;\n\n  for (j = 0; j < n; j++) {\n    d[j] = V.get(n - 1, j);\n  }\n\n  for (i = n - 1; i > 0; i--) {\n    scale = 0;\n    h = 0;\n    for (k = 0; k < i; k++) {\n      scale = scale + Math.abs(d[k]);\n    }\n\n    if (scale === 0) {\n      e[i] = d[i - 1];\n      for (j = 0; j < i; j++) {\n        d[j] = V.get(i - 1, j);\n        V.set(i, j, 0);\n        V.set(j, i, 0);\n      }\n    } else {\n      for (k = 0; k < i; k++) {\n        d[k] /= scale;\n        h += d[k] * d[k];\n      }\n\n      f = d[i - 1];\n      g = Math.sqrt(h);\n      if (f > 0) {\n        g = -g;\n      }\n\n      e[i] = scale * g;\n      h = h - f * g;\n      d[i - 1] = f - g;\n      for (j = 0; j < i; j++) {\n        e[j] = 0;\n      }\n\n      for (j = 0; j < i; j++) {\n        f = d[j];\n        V.set(j, i, f);\n        g = e[j] + V.get(j, j) * f;\n        for (k = j + 1; k <= i - 1; k++) {\n          g += V.get(k, j) * d[k];\n          e[k] += V.get(k, j) * f;\n        }\n        e[j] = g;\n      }\n\n      f = 0;\n      for (j = 0; j < i; j++) {\n        e[j] /= h;\n        f += e[j] * d[j];\n      }\n\n      hh = f / (h + h);\n      for (j = 0; j < i; j++) {\n        e[j] -= hh * d[j];\n      }\n\n      for (j = 0; j < i; j++) {\n        f = d[j];\n        g = e[j];\n        for (k = j; k <= i - 1; k++) {\n          V.set(k, j, V.get(k, j) - (f * e[k] + g * d[k]));\n        }\n        d[j] = V.get(i - 1, j);\n        V.set(i, j, 0);\n      }\n    }\n    d[i] = h;\n  }\n\n  for (i = 0; i < n - 1; i++) {\n    V.set(n - 1, i, V.get(i, i));\n    V.set(i, i, 1);\n    h = d[i + 1];\n    if (h !== 0) {\n      for (k = 0; k <= i; k++) {\n        d[k] = V.get(k, i + 1) / h;\n      }\n\n      for (j = 0; j <= i; j++) {\n        g = 0;\n        for (k = 0; k <= i; k++) {\n          g += V.get(k, i + 1) * V.get(k, j);\n        }\n        for (k = 0; k <= i; k++) {\n          V.set(k, j, V.get(k, j) - g * d[k]);\n        }\n      }\n    }\n\n    for (k = 0; k <= i; k++) {\n      V.set(k, i + 1, 0);\n    }\n  }\n\n  for (j = 0; j < n; j++) {\n    d[j] = V.get(n - 1, j);\n    V.set(n - 1, j, 0);\n  }\n\n  V.set(n - 1, n - 1, 1);\n  e[0] = 0;\n}\n\nfunction tql2(n, e, d, V) {\n  let g, h, i, j, k, l, m, p, r, dl1, c, c2, c3, el1, s, s2;\n\n  for (i = 1; i < n; i++) {\n    e[i - 1] = e[i];\n  }\n\n  e[n - 1] = 0;\n\n  let f = 0;\n  let tst1 = 0;\n  let eps = Number.EPSILON;\n\n  for (l = 0; l < n; l++) {\n    tst1 = Math.max(tst1, Math.abs(d[l]) + Math.abs(e[l]));\n    m = l;\n    while (m < n) {\n      if (Math.abs(e[m]) <= eps * tst1) {\n        break;\n      }\n      m++;\n    }\n\n    if (m > l) {\n      do {\n\n        g = d[l];\n        p = (d[l + 1] - g) / (2 * e[l]);\n        r = hypotenuse(p, 1);\n        if (p < 0) {\n          r = -r;\n        }\n\n        d[l] = e[l] / (p + r);\n        d[l + 1] = e[l] * (p + r);\n        dl1 = d[l + 1];\n        h = g - d[l];\n        for (i = l + 2; i < n; i++) {\n          d[i] -= h;\n        }\n\n        f = f + h;\n\n        p = d[m];\n        c = 1;\n        c2 = c;\n        c3 = c;\n        el1 = e[l + 1];\n        s = 0;\n        s2 = 0;\n        for (i = m - 1; i >= l; i--) {\n          c3 = c2;\n          c2 = c;\n          s2 = s;\n          g = c * e[i];\n          h = c * p;\n          r = hypotenuse(p, e[i]);\n          e[i + 1] = s * r;\n          s = e[i] / r;\n          c = p / r;\n          p = c * d[i] - s * g;\n          d[i + 1] = h + s * (c * g + s * d[i]);\n\n          for (k = 0; k < n; k++) {\n            h = V.get(k, i + 1);\n            V.set(k, i + 1, s * V.get(k, i) + c * h);\n            V.set(k, i, c * V.get(k, i) - s * h);\n          }\n        }\n\n        p = (-s * s2 * c3 * el1 * e[l]) / dl1;\n        e[l] = s * p;\n        d[l] = c * p;\n      } while (Math.abs(e[l]) > eps * tst1);\n    }\n    d[l] = d[l] + f;\n    e[l] = 0;\n  }\n\n  for (i = 0; i < n - 1; i++) {\n    k = i;\n    p = d[i];\n    for (j = i + 1; j < n; j++) {\n      if (d[j] < p) {\n        k = j;\n        p = d[j];\n      }\n    }\n\n    if (k !== i) {\n      d[k] = d[i];\n      d[i] = p;\n      for (j = 0; j < n; j++) {\n        p = V.get(j, i);\n        V.set(j, i, V.get(j, k));\n        V.set(j, k, p);\n      }\n    }\n  }\n}\n\nfunction orthes(n, H, ort, V) {\n  let low = 0;\n  let high = n - 1;\n  let f, g, h, i, j, m;\n  let scale;\n\n  for (m = low + 1; m <= high - 1; m++) {\n    scale = 0;\n    for (i = m; i <= high; i++) {\n      scale = scale + Math.abs(H.get(i, m - 1));\n    }\n\n    if (scale !== 0) {\n      h = 0;\n      for (i = high; i >= m; i--) {\n        ort[i] = H.get(i, m - 1) / scale;\n        h += ort[i] * ort[i];\n      }\n\n      g = Math.sqrt(h);\n      if (ort[m] > 0) {\n        g = -g;\n      }\n\n      h = h - ort[m] * g;\n      ort[m] = ort[m] - g;\n\n      for (j = m; j < n; j++) {\n        f = 0;\n        for (i = high; i >= m; i--) {\n          f += ort[i] * H.get(i, j);\n        }\n\n        f = f / h;\n        for (i = m; i <= high; i++) {\n          H.set(i, j, H.get(i, j) - f * ort[i]);\n        }\n      }\n\n      for (i = 0; i <= high; i++) {\n        f = 0;\n        for (j = high; j >= m; j--) {\n          f += ort[j] * H.get(i, j);\n        }\n\n        f = f / h;\n        for (j = m; j <= high; j++) {\n          H.set(i, j, H.get(i, j) - f * ort[j]);\n        }\n      }\n\n      ort[m] = scale * ort[m];\n      H.set(m, m - 1, scale * g);\n    }\n  }\n\n  for (i = 0; i < n; i++) {\n    for (j = 0; j < n; j++) {\n      V.set(i, j, i === j ? 1 : 0);\n    }\n  }\n\n  for (m = high - 1; m >= low + 1; m--) {\n    if (H.get(m, m - 1) !== 0) {\n      for (i = m + 1; i <= high; i++) {\n        ort[i] = H.get(i, m - 1);\n      }\n\n      for (j = m; j <= high; j++) {\n        g = 0;\n        for (i = m; i <= high; i++) {\n          g += ort[i] * V.get(i, j);\n        }\n\n        g = g / ort[m] / H.get(m, m - 1);\n        for (i = m; i <= high; i++) {\n          V.set(i, j, V.get(i, j) + g * ort[i]);\n        }\n      }\n    }\n  }\n}\n\nfunction hqr2(nn, e, d, V, H) {\n  let n = nn - 1;\n  let low = 0;\n  let high = nn - 1;\n  let eps = Number.EPSILON;\n  let exshift = 0;\n  let norm = 0;\n  let p = 0;\n  let q = 0;\n  let r = 0;\n  let s = 0;\n  let z = 0;\n  let iter = 0;\n  let i, j, k, l, m, t, w, x, y;\n  let ra, sa, vr, vi;\n  let notlast, cdivres;\n\n  for (i = 0; i < nn; i++) {\n    if (i < low || i > high) {\n      d[i] = H.get(i, i);\n      e[i] = 0;\n    }\n\n    for (j = Math.max(i - 1, 0); j < nn; j++) {\n      norm = norm + Math.abs(H.get(i, j));\n    }\n  }\n\n  while (n >= low) {\n    l = n;\n    while (l > low) {\n      s = Math.abs(H.get(l - 1, l - 1)) + Math.abs(H.get(l, l));\n      if (s === 0) {\n        s = norm;\n      }\n      if (Math.abs(H.get(l, l - 1)) < eps * s) {\n        break;\n      }\n      l--;\n    }\n\n    if (l === n) {\n      H.set(n, n, H.get(n, n) + exshift);\n      d[n] = H.get(n, n);\n      e[n] = 0;\n      n--;\n      iter = 0;\n    } else if (l === n - 1) {\n      w = H.get(n, n - 1) * H.get(n - 1, n);\n      p = (H.get(n - 1, n - 1) - H.get(n, n)) / 2;\n      q = p * p + w;\n      z = Math.sqrt(Math.abs(q));\n      H.set(n, n, H.get(n, n) + exshift);\n      H.set(n - 1, n - 1, H.get(n - 1, n - 1) + exshift);\n      x = H.get(n, n);\n\n      if (q >= 0) {\n        z = p >= 0 ? p + z : p - z;\n        d[n - 1] = x + z;\n        d[n] = d[n - 1];\n        if (z !== 0) {\n          d[n] = x - w / z;\n        }\n        e[n - 1] = 0;\n        e[n] = 0;\n        x = H.get(n, n - 1);\n        s = Math.abs(x) + Math.abs(z);\n        p = x / s;\n        q = z / s;\n        r = Math.sqrt(p * p + q * q);\n        p = p / r;\n        q = q / r;\n\n        for (j = n - 1; j < nn; j++) {\n          z = H.get(n - 1, j);\n          H.set(n - 1, j, q * z + p * H.get(n, j));\n          H.set(n, j, q * H.get(n, j) - p * z);\n        }\n\n        for (i = 0; i <= n; i++) {\n          z = H.get(i, n - 1);\n          H.set(i, n - 1, q * z + p * H.get(i, n));\n          H.set(i, n, q * H.get(i, n) - p * z);\n        }\n\n        for (i = low; i <= high; i++) {\n          z = V.get(i, n - 1);\n          V.set(i, n - 1, q * z + p * V.get(i, n));\n          V.set(i, n, q * V.get(i, n) - p * z);\n        }\n      } else {\n        d[n - 1] = x + p;\n        d[n] = x + p;\n        e[n - 1] = z;\n        e[n] = -z;\n      }\n\n      n = n - 2;\n      iter = 0;\n    } else {\n      x = H.get(n, n);\n      y = 0;\n      w = 0;\n      if (l < n) {\n        y = H.get(n - 1, n - 1);\n        w = H.get(n, n - 1) * H.get(n - 1, n);\n      }\n\n      if (iter === 10) {\n        exshift += x;\n        for (i = low; i <= n; i++) {\n          H.set(i, i, H.get(i, i) - x);\n        }\n        s = Math.abs(H.get(n, n - 1)) + Math.abs(H.get(n - 1, n - 2));\n        // eslint-disable-next-line no-multi-assign\n        x = y = 0.75 * s;\n        w = -0.4375 * s * s;\n      }\n\n      if (iter === 30) {\n        s = (y - x) / 2;\n        s = s * s + w;\n        if (s > 0) {\n          s = Math.sqrt(s);\n          if (y < x) {\n            s = -s;\n          }\n          s = x - w / ((y - x) / 2 + s);\n          for (i = low; i <= n; i++) {\n            H.set(i, i, H.get(i, i) - s);\n          }\n          exshift += s;\n          // eslint-disable-next-line no-multi-assign\n          x = y = w = 0.964;\n        }\n      }\n\n      iter = iter + 1;\n\n      m = n - 2;\n      while (m >= l) {\n        z = H.get(m, m);\n        r = x - z;\n        s = y - z;\n        p = (r * s - w) / H.get(m + 1, m) + H.get(m, m + 1);\n        q = H.get(m + 1, m + 1) - z - r - s;\n        r = H.get(m + 2, m + 1);\n        s = Math.abs(p) + Math.abs(q) + Math.abs(r);\n        p = p / s;\n        q = q / s;\n        r = r / s;\n        if (m === l) {\n          break;\n        }\n        if (\n          Math.abs(H.get(m, m - 1)) * (Math.abs(q) + Math.abs(r)) <\n          eps *\n            (Math.abs(p) *\n              (Math.abs(H.get(m - 1, m - 1)) +\n                Math.abs(z) +\n                Math.abs(H.get(m + 1, m + 1))))\n        ) {\n          break;\n        }\n        m--;\n      }\n\n      for (i = m + 2; i <= n; i++) {\n        H.set(i, i - 2, 0);\n        if (i > m + 2) {\n          H.set(i, i - 3, 0);\n        }\n      }\n\n      for (k = m; k <= n - 1; k++) {\n        notlast = k !== n - 1;\n        if (k !== m) {\n          p = H.get(k, k - 1);\n          q = H.get(k + 1, k - 1);\n          r = notlast ? H.get(k + 2, k - 1) : 0;\n          x = Math.abs(p) + Math.abs(q) + Math.abs(r);\n          if (x !== 0) {\n            p = p / x;\n            q = q / x;\n            r = r / x;\n          }\n        }\n\n        if (x === 0) {\n          break;\n        }\n\n        s = Math.sqrt(p * p + q * q + r * r);\n        if (p < 0) {\n          s = -s;\n        }\n\n        if (s !== 0) {\n          if (k !== m) {\n            H.set(k, k - 1, -s * x);\n          } else if (l !== m) {\n            H.set(k, k - 1, -H.get(k, k - 1));\n          }\n\n          p = p + s;\n          x = p / s;\n          y = q / s;\n          z = r / s;\n          q = q / p;\n          r = r / p;\n\n          for (j = k; j < nn; j++) {\n            p = H.get(k, j) + q * H.get(k + 1, j);\n            if (notlast) {\n              p = p + r * H.get(k + 2, j);\n              H.set(k + 2, j, H.get(k + 2, j) - p * z);\n            }\n\n            H.set(k, j, H.get(k, j) - p * x);\n            H.set(k + 1, j, H.get(k + 1, j) - p * y);\n          }\n\n          for (i = 0; i <= Math.min(n, k + 3); i++) {\n            p = x * H.get(i, k) + y * H.get(i, k + 1);\n            if (notlast) {\n              p = p + z * H.get(i, k + 2);\n              H.set(i, k + 2, H.get(i, k + 2) - p * r);\n            }\n\n            H.set(i, k, H.get(i, k) - p);\n            H.set(i, k + 1, H.get(i, k + 1) - p * q);\n          }\n\n          for (i = low; i <= high; i++) {\n            p = x * V.get(i, k) + y * V.get(i, k + 1);\n            if (notlast) {\n              p = p + z * V.get(i, k + 2);\n              V.set(i, k + 2, V.get(i, k + 2) - p * r);\n            }\n\n            V.set(i, k, V.get(i, k) - p);\n            V.set(i, k + 1, V.get(i, k + 1) - p * q);\n          }\n        }\n      }\n    }\n  }\n\n  if (norm === 0) {\n    return;\n  }\n\n  for (n = nn - 1; n >= 0; n--) {\n    p = d[n];\n    q = e[n];\n\n    if (q === 0) {\n      l = n;\n      H.set(n, n, 1);\n      for (i = n - 1; i >= 0; i--) {\n        w = H.get(i, i) - p;\n        r = 0;\n        for (j = l; j <= n; j++) {\n          r = r + H.get(i, j) * H.get(j, n);\n        }\n\n        if (e[i] < 0) {\n          z = w;\n          s = r;\n        } else {\n          l = i;\n          if (e[i] === 0) {\n            H.set(i, n, w !== 0 ? -r / w : -r / (eps * norm));\n          } else {\n            x = H.get(i, i + 1);\n            y = H.get(i + 1, i);\n            q = (d[i] - p) * (d[i] - p) + e[i] * e[i];\n            t = (x * s - z * r) / q;\n            H.set(i, n, t);\n            H.set(\n              i + 1,\n              n,\n              Math.abs(x) > Math.abs(z) ? (-r - w * t) / x : (-s - y * t) / z,\n            );\n          }\n\n          t = Math.abs(H.get(i, n));\n          if (eps * t * t > 1) {\n            for (j = i; j <= n; j++) {\n              H.set(j, n, H.get(j, n) / t);\n            }\n          }\n        }\n      }\n    } else if (q < 0) {\n      l = n - 1;\n\n      if (Math.abs(H.get(n, n - 1)) > Math.abs(H.get(n - 1, n))) {\n        H.set(n - 1, n - 1, q / H.get(n, n - 1));\n        H.set(n - 1, n, -(H.get(n, n) - p) / H.get(n, n - 1));\n      } else {\n        cdivres = cdiv(0, -H.get(n - 1, n), H.get(n - 1, n - 1) - p, q);\n        H.set(n - 1, n - 1, cdivres[0]);\n        H.set(n - 1, n, cdivres[1]);\n      }\n\n      H.set(n, n - 1, 0);\n      H.set(n, n, 1);\n      for (i = n - 2; i >= 0; i--) {\n        ra = 0;\n        sa = 0;\n        for (j = l; j <= n; j++) {\n          ra = ra + H.get(i, j) * H.get(j, n - 1);\n          sa = sa + H.get(i, j) * H.get(j, n);\n        }\n\n        w = H.get(i, i) - p;\n\n        if (e[i] < 0) {\n          z = w;\n          r = ra;\n          s = sa;\n        } else {\n          l = i;\n          if (e[i] === 0) {\n            cdivres = cdiv(-ra, -sa, w, q);\n            H.set(i, n - 1, cdivres[0]);\n            H.set(i, n, cdivres[1]);\n          } else {\n            x = H.get(i, i + 1);\n            y = H.get(i + 1, i);\n            vr = (d[i] - p) * (d[i] - p) + e[i] * e[i] - q * q;\n            vi = (d[i] - p) * 2 * q;\n            if (vr === 0 && vi === 0) {\n              vr =\n                eps *\n                norm *\n                (Math.abs(w) +\n                  Math.abs(q) +\n                  Math.abs(x) +\n                  Math.abs(y) +\n                  Math.abs(z));\n            }\n            cdivres = cdiv(\n              x * r - z * ra + q * sa,\n              x * s - z * sa - q * ra,\n              vr,\n              vi,\n            );\n            H.set(i, n - 1, cdivres[0]);\n            H.set(i, n, cdivres[1]);\n            if (Math.abs(x) > Math.abs(z) + Math.abs(q)) {\n              H.set(\n                i + 1,\n                n - 1,\n                (-ra - w * H.get(i, n - 1) + q * H.get(i, n)) / x,\n              );\n              H.set(\n                i + 1,\n                n,\n                (-sa - w * H.get(i, n) - q * H.get(i, n - 1)) / x,\n              );\n            } else {\n              cdivres = cdiv(\n                -r - y * H.get(i, n - 1),\n                -s - y * H.get(i, n),\n                z,\n                q,\n              );\n              H.set(i + 1, n - 1, cdivres[0]);\n              H.set(i + 1, n, cdivres[1]);\n            }\n          }\n\n          t = Math.max(Math.abs(H.get(i, n - 1)), Math.abs(H.get(i, n)));\n          if (eps * t * t > 1) {\n            for (j = i; j <= n; j++) {\n              H.set(j, n - 1, H.get(j, n - 1) / t);\n              H.set(j, n, H.get(j, n) / t);\n            }\n          }\n        }\n      }\n    }\n  }\n\n  for (i = 0; i < nn; i++) {\n    if (i < low || i > high) {\n      for (j = i; j < nn; j++) {\n        V.set(i, j, H.get(i, j));\n      }\n    }\n  }\n\n  for (j = nn - 1; j >= low; j--) {\n    for (i = low; i <= high; i++) {\n      z = 0;\n      for (k = low; k <= Math.min(j, high); k++) {\n        z = z + V.get(i, k) * H.get(k, j);\n      }\n      V.set(i, j, z);\n    }\n  }\n}\n\nfunction cdiv(xr, xi, yr, yi) {\n  let r, d;\n  if (Math.abs(yr) > Math.abs(yi)) {\n    r = yi / yr;\n    d = yr + r * yi;\n    return [(xr + r * xi) / d, (xi - r * xr) / d];\n  } else {\n    r = yr / yi;\n    d = yi + r * yr;\n    return [(r * xr + xi) / d, (r * xi - xr) / d];\n  }\n}\n\nclass CholeskyDecomposition {\n  constructor(value) {\n    value = WrapperMatrix2D.checkMatrix(value);\n    if (!value.isSymmetric()) {\n      throw new Error('Matrix is not symmetric');\n    }\n\n    let a = value;\n    let dimension = a.rows;\n    let l = new Matrix(dimension, dimension);\n    let positiveDefinite = true;\n    let i, j, k;\n\n    for (j = 0; j < dimension; j++) {\n      let d = 0;\n      for (k = 0; k < j; k++) {\n        let s = 0;\n        for (i = 0; i < k; i++) {\n          s += l.get(k, i) * l.get(j, i);\n        }\n        s = (a.get(j, k) - s) / l.get(k, k);\n        l.set(j, k, s);\n        d = d + s * s;\n      }\n\n      d = a.get(j, j) - d;\n\n      positiveDefinite &&= d > 0;\n      l.set(j, j, Math.sqrt(Math.max(d, 0)));\n      for (k = j + 1; k < dimension; k++) {\n        l.set(j, k, 0);\n      }\n    }\n\n    this.L = l;\n    this.positiveDefinite = positiveDefinite;\n  }\n\n  isPositiveDefinite() {\n    return this.positiveDefinite;\n  }\n\n  solve(value) {\n    value = WrapperMatrix2D.checkMatrix(value);\n\n    let l = this.L;\n    let dimension = l.rows;\n\n    if (value.rows !== dimension) {\n      throw new Error('Matrix dimensions do not match');\n    }\n    if (this.isPositiveDefinite() === false) {\n      throw new Error('Matrix is not positive definite');\n    }\n\n    let count = value.columns;\n    let B = value.clone();\n    let i, j, k;\n\n    for (k = 0; k < dimension; k++) {\n      for (j = 0; j < count; j++) {\n        for (i = 0; i < k; i++) {\n          B.set(k, j, B.get(k, j) - B.get(i, j) * l.get(k, i));\n        }\n        B.set(k, j, B.get(k, j) / l.get(k, k));\n      }\n    }\n\n    for (k = dimension - 1; k >= 0; k--) {\n      for (j = 0; j < count; j++) {\n        for (i = k + 1; i < dimension; i++) {\n          B.set(k, j, B.get(k, j) - B.get(i, j) * l.get(i, k));\n        }\n        B.set(k, j, B.get(k, j) / l.get(k, k));\n      }\n    }\n\n    return B;\n  }\n\n  get lowerTriangularMatrix() {\n    return this.L;\n  }\n}\n\nclass nipals {\n  constructor(X, options = {}) {\n    X = WrapperMatrix2D.checkMatrix(X);\n    let { Y } = options;\n    const {\n      scaleScores = false,\n      maxIterations = 1000,\n      terminationCriteria = 1e-10,\n    } = options;\n\n    let u;\n    if (Y) {\n      if (isAnyArray.isAnyArray(Y) && typeof Y[0] === 'number') {\n        Y = Matrix.columnVector(Y);\n      } else {\n        Y = WrapperMatrix2D.checkMatrix(Y);\n      }\n      if (Y.rows !== X.rows) {\n        throw new Error('Y should have the same number of rows as X');\n      }\n      u = Y.getColumnVector(0);\n    } else {\n      u = X.getColumnVector(0);\n    }\n\n    let diff = 1;\n    let t, q, w, tOld;\n\n    for (\n      let counter = 0;\n      counter < maxIterations && diff > terminationCriteria;\n      counter++\n    ) {\n      w = X.transpose().mmul(u).div(u.transpose().mmul(u).get(0, 0));\n      w = w.div(w.norm());\n\n      t = X.mmul(w).div(w.transpose().mmul(w).get(0, 0));\n\n      if (counter > 0) {\n        diff = t.clone().sub(tOld).pow(2).sum();\n      }\n      tOld = t.clone();\n\n      if (Y) {\n        q = Y.transpose().mmul(t).div(t.transpose().mmul(t).get(0, 0));\n        q = q.div(q.norm());\n\n        u = Y.mmul(q).div(q.transpose().mmul(q).get(0, 0));\n      } else {\n        u = t;\n      }\n    }\n\n    if (Y) {\n      let p = X.transpose().mmul(t).div(t.transpose().mmul(t).get(0, 0));\n      p = p.div(p.norm());\n      let xResidual = X.clone().sub(t.clone().mmul(p.transpose()));\n      let residual = u.transpose().mmul(t).div(t.transpose().mmul(t).get(0, 0));\n      let yResidual = Y.clone().sub(\n        t.clone().mulS(residual.get(0, 0)).mmul(q.transpose()),\n      );\n\n      this.t = t;\n      this.p = p.transpose();\n      this.w = w.transpose();\n      this.q = q;\n      this.u = u;\n      this.s = t.transpose().mmul(t);\n      this.xResidual = xResidual;\n      this.yResidual = yResidual;\n      this.betas = residual;\n    } else {\n      this.w = w.transpose();\n      this.s = t.transpose().mmul(t).sqrt();\n      if (scaleScores) {\n        this.t = t.clone().div(this.s.get(0, 0));\n      } else {\n        this.t = t;\n      }\n      this.xResidual = X.sub(t.mmul(w.transpose()));\n    }\n  }\n}\n\nexports.AbstractMatrix = AbstractMatrix;\nexports.CHO = CholeskyDecomposition;\nexports.CholeskyDecomposition = CholeskyDecomposition;\nexports.DistanceMatrix = DistanceMatrix;\nexports.EVD = EigenvalueDecomposition;\nexports.EigenvalueDecomposition = EigenvalueDecomposition;\nexports.LU = LuDecomposition;\nexports.LuDecomposition = LuDecomposition;\nexports.Matrix = Matrix;\nexports.MatrixColumnSelectionView = MatrixColumnSelectionView;\nexports.MatrixColumnView = MatrixColumnView;\nexports.MatrixFlipColumnView = MatrixFlipColumnView;\nexports.MatrixFlipRowView = MatrixFlipRowView;\nexports.MatrixRowSelectionView = MatrixRowSelectionView;\nexports.MatrixRowView = MatrixRowView;\nexports.MatrixSelectionView = MatrixSelectionView;\nexports.MatrixSubView = MatrixSubView;\nexports.MatrixTransposeView = MatrixTransposeView;\nexports.NIPALS = nipals;\nexports.Nipals = nipals;\nexports.QR = QrDecomposition;\nexports.QrDecomposition = QrDecomposition;\nexports.SVD = SingularValueDecomposition;\nexports.SingularValueDecomposition = SingularValueDecomposition;\nexports.SymmetricMatrix = SymmetricMatrix;\nexports.WrapperMatrix1D = WrapperMatrix1D;\nexports.WrapperMatrix2D = WrapperMatrix2D;\nexports.correlation = correlation;\nexports.covariance = covariance;\nexports.default = Matrix;\nexports.determinant = determinant;\nexports.inverse = inverse;\nexports.linearDependencies = linearDependencies;\nexports.pseudoInverse = pseudoInverse;\nexports.solve = solve;\nexports.wrap = wrap;\n","import * as matrix from './matrix.js';\n\nexport const AbstractMatrix = matrix.AbstractMatrix;\nexport const CHO = matrix.CHO;\nexport const CholeskyDecomposition = matrix.CholeskyDecomposition;\nexport const DistanceMatrix = matrix.DistanceMatrix;\nexport const EVD = matrix.EVD;\nexport const EigenvalueDecomposition = matrix.EigenvalueDecomposition;\nexport const LU = matrix.LU;\nexport const LuDecomposition = matrix.LuDecomposition;\nexport const Matrix = matrix.Matrix;\nexport const MatrixColumnSelectionView = matrix.MatrixColumnSelectionView;\nexport const MatrixColumnView = matrix.MatrixColumnView;\nexport const MatrixFlipColumnView = matrix.MatrixFlipColumnView;\nexport const MatrixFlipRowView = matrix.MatrixFlipRowView;\nexport const MatrixRowSelectionView = matrix.MatrixRowSelectionView;\nexport const MatrixRowView = matrix.MatrixRowView;\nexport const MatrixSelectionView = matrix.MatrixSelectionView;\nexport const MatrixSubView = matrix.MatrixSubView;\nexport const MatrixTransposeView = matrix.MatrixTransposeView;\nexport const NIPALS = matrix.NIPALS;\nexport const Nipals = matrix.Nipals;\nexport const QR = matrix.QR;\nexport const QrDecomposition = matrix.QrDecomposition;\nexport const SVD = matrix.SVD;\nexport const SingularValueDecomposition = matrix.SingularValueDecomposition;\nexport const SymmetricMatrix = matrix.SymmetricMatrix;\nexport const WrapperMatrix1D = matrix.WrapperMatrix1D;\nexport const WrapperMatrix2D = matrix.WrapperMatrix2D;\nexport const correlation = matrix.correlation;\nexport const covariance = matrix.covariance;\nexport default matrix.default.Matrix ? matrix.default.Matrix : matrix.Matrix;\nexport const determinant = matrix.determinant;\nexport const inverse = matrix.inverse;\nexport const linearDependencies = matrix.linearDependencies;\nexport const pseudoInverse = matrix.pseudoInverse;\nexport const solve = matrix.solve;\nexport const wrap = matrix.wrap;\n","import { Matrix } from 'ml-matrix';\nconst absDiff = (a, b) => Math.abs(a - b);\n/**\n * Generate a cost matrix from two set of values using the function passed. by default it\n * generate the cost matrix of absolute value of differences.\n * @param rowsArray - Array of values that will represent the rows of the cost matrix.\n * @param columnsArray - Array of values that will represent the columns of the cost matrix.\n * @param options\n * @returns - A matrix instance with dimensions rowsArray.length x columnsArray.length\n */\nexport function xCostMatrix(rowsArray, columnsArray, options = {}) {\n    const { fct = absDiff } = options;\n    const nbRows = rowsArray.length;\n    const nbColumns = columnsArray.length;\n    const result = new Matrix(nbRows, nbColumns);\n    for (let r = 0; r < nbRows; r++) {\n        for (let c = 0; c < nbColumns; c++) {\n            result.set(r, c, fct(rowsArray[r], columnsArray[c]));\n        }\n    }\n    return result;\n}\n//# sourceMappingURL=xCostMatrix.js.map","import { isAnyArray } from 'is-any-array';\n/**\n * Calculate an array of the same size that is the cumulative values\n * @param array - initial array\n */\nexport function xCumulative(array) {\n    if (!isAnyArray(array)) {\n        throw new TypeError('input must be an array');\n    }\n    const newArray = new Float64Array(array.length);\n    if (array.length === 0)\n        return newArray;\n    newArray[0] = array[0];\n    for (let i = 1; i < array.length; i++) {\n        newArray[i] = newArray[i - 1] + array[i];\n    }\n    return newArray;\n}\n//# sourceMappingURL=xCumulative.js.map","import { xCheck } from './xCheck';\nimport { xGetFromToIndex } from './xGetFromToIndex';\n/**\n * Computes the mean value of an array of values.\n * @param array - array of numbers\n * @param options - options\n */\nexport function xMean(array, options = {}) {\n    xCheck(array);\n    const { fromIndex, toIndex } = xGetFromToIndex(array, options);\n    let sumValue = array[fromIndex];\n    for (let i = fromIndex + 1; i <= toIndex; i++) {\n        sumValue += array[i];\n    }\n    return sumValue / (toIndex - fromIndex + 1);\n}\n//# sourceMappingURL=xMean.js.map","import { isAnyArray } from 'is-any-array';\nimport { xMean } from './xMean';\n/**\n * Finds the variance of the data\n * @param values - the values of the array\n * @param options - options\n * @returns variance\n */\nexport function xVariance(values, options = {}) {\n    if (!isAnyArray(values)) {\n        throw new TypeError('input must be an array');\n    }\n    const { unbiased = true, mean = xMean(values) } = options;\n    let sqrError = 0;\n    for (let i = 0; i < values.length; i++) {\n        const x = values[i] - mean;\n        sqrError += x * x;\n    }\n    if (unbiased) {\n        return sqrError / (values.length - 1);\n    }\n    else {\n        return sqrError / values.length;\n    }\n}\n//# sourceMappingURL=xVariance.js.map","import { xVariance } from './xVariance';\n/**\n * Finds the standard deviation for the data at hand\n * @param values - values in the data\n * @param options - options\n * @returns standard deviation\n */\nexport function xStandardDeviation(values, options = {}) {\n    return Math.sqrt(xVariance(values, options));\n}\n//# sourceMappingURL=xStandardDeviation.js.map","import { xBoxPlotWithOutliers } from './xBoxPlotWithOutliers';\nimport { xMean } from './xMean';\nimport { xStandardDeviation } from './xStandardDeviation';\n/**\n * Calculate distribution statistics of an array without providing options\n * This ensure that the statistics are calculated in the same way in all the packages\n * If the array is empty it will throw an error\n * If the array has a length of 1, sd will be NaN (unbiased calculation of sd)\n * @param array - data\n * @param options\n * @returns - q1, median, q3, min, max\n */\nexport function xDistributionStats(array) {\n    return {\n        ...xBoxPlotWithOutliers(array),\n        mean: xMean(array),\n        sd: xStandardDeviation(array),\n        nb: array.length,\n    };\n}\n//# sourceMappingURL=xDistributionStats.js.map","import { isAnyArray } from 'is-any-array';\nimport { getOutputArray } from './getOutputArray';\n/**\n * This function divide the first array by the second array or a constant value to each element of the first array\n * @param array1 - first array\n * @param array2 - second array or number\n * @param options - options\n */\nexport function xDivide(array1, array2, options = {}) {\n    let isConstant = false;\n    let constant = 0;\n    if (isAnyArray(array2)) {\n        if (array1.length !== array2.length) {\n            throw new RangeError('size of array1 and array2 must be identical');\n        }\n    }\n    else {\n        isConstant = true;\n        constant = Number(array2);\n    }\n    const array3 = getOutputArray(options.output, array1.length);\n    if (isConstant) {\n        for (let i = 0; i < array1.length; i++) {\n            array3[i] = array1[i] / constant;\n        }\n    }\n    else {\n        for (let i = 0; i < array1.length; i++) {\n            array3[i] = array1[i] / array2[i];\n        }\n    }\n    return array3;\n}\n//# sourceMappingURL=xDivide.js.map","import { xCheck } from './xCheck';\n/**\n * Returns a copy of the data as a Float64Array.\n * @param array - array of numbers\n */\nexport function xEnsureFloat64(array) {\n    xCheck(array);\n    if (array instanceof Float64Array) {\n        return array.slice(0);\n    }\n    return Float64Array.from(array);\n}\n//# sourceMappingURL=xEnsureFloat64.js.map","import { xFindClosestIndex } from './xFindClosestIndex';\n/**\n *  Returns the targetIndex\n * @param x - array of numbers\n * @param options - options\n */\nexport function xGetTargetIndex(x, options = {}) {\n    const { target, targetIndex } = options;\n    if (targetIndex === undefined) {\n        if (target !== undefined) {\n            return xFindClosestIndex(x, target);\n        }\n        else {\n            return 0;\n        }\n    }\n    return targetIndex;\n}\n//# sourceMappingURL=xGetTargetIndex.js.map","'use strict';\n\nfunction FFT(size) {\n  this.size = size | 0;\n  if (this.size <= 1 || (this.size & (this.size - 1)) !== 0)\n    throw new Error('FFT size must be a power of two and bigger than 1');\n\n  this._csize = size << 1;\n\n  // NOTE: Use of `var` is intentional for old V8 versions\n  var table = new Array(this.size * 2);\n  for (var i = 0; i < table.length; i += 2) {\n    const angle = Math.PI * i / this.size;\n    table[i] = Math.cos(angle);\n    table[i + 1] = -Math.sin(angle);\n  }\n  this.table = table;\n\n  // Find size's power of two\n  var power = 0;\n  for (var t = 1; this.size > t; t <<= 1)\n    power++;\n\n  // Calculate initial step's width:\n  //   * If we are full radix-4 - it is 2x smaller to give inital len=8\n  //   * Otherwise it is the same as `power` to give len=4\n  this._width = power % 2 === 0 ? power - 1 : power;\n\n  // Pre-compute bit-reversal patterns\n  this._bitrev = new Array(1 << this._width);\n  for (var j = 0; j < this._bitrev.length; j++) {\n    this._bitrev[j] = 0;\n    for (var shift = 0; shift < this._width; shift += 2) {\n      var revShift = this._width - shift - 2;\n      this._bitrev[j] |= ((j >>> shift) & 3) << revShift;\n    }\n  }\n\n  this._out = null;\n  this._data = null;\n  this._inv = 0;\n}\nmodule.exports = FFT;\n\nFFT.prototype.fromComplexArray = function fromComplexArray(complex, storage) {\n  var res = storage || new Array(complex.length >>> 1);\n  for (var i = 0; i < complex.length; i += 2)\n    res[i >>> 1] = complex[i];\n  return res;\n};\n\nFFT.prototype.createComplexArray = function createComplexArray() {\n  const res = new Array(this._csize);\n  for (var i = 0; i < res.length; i++)\n    res[i] = 0;\n  return res;\n};\n\nFFT.prototype.toComplexArray = function toComplexArray(input, storage) {\n  var res = storage || this.createComplexArray();\n  for (var i = 0; i < res.length; i += 2) {\n    res[i] = input[i >>> 1];\n    res[i + 1] = 0;\n  }\n  return res;\n};\n\nFFT.prototype.completeSpectrum = function completeSpectrum(spectrum) {\n  var size = this._csize;\n  var half = size >>> 1;\n  for (var i = 2; i < half; i += 2) {\n    spectrum[size - i] = spectrum[i];\n    spectrum[size - i + 1] = -spectrum[i + 1];\n  }\n};\n\nFFT.prototype.transform = function transform(out, data) {\n  if (out === data)\n    throw new Error('Input and output buffers must be different');\n\n  this._out = out;\n  this._data = data;\n  this._inv = 0;\n  this._transform4();\n  this._out = null;\n  this._data = null;\n};\n\nFFT.prototype.realTransform = function realTransform(out, data) {\n  if (out === data)\n    throw new Error('Input and output buffers must be different');\n\n  this._out = out;\n  this._data = data;\n  this._inv = 0;\n  this._realTransform4();\n  this._out = null;\n  this._data = null;\n};\n\nFFT.prototype.inverseTransform = function inverseTransform(out, data) {\n  if (out === data)\n    throw new Error('Input and output buffers must be different');\n\n  this._out = out;\n  this._data = data;\n  this._inv = 1;\n  this._transform4();\n  for (var i = 0; i < out.length; i++)\n    out[i] /= this.size;\n  this._out = null;\n  this._data = null;\n};\n\n// radix-4 implementation\n//\n// NOTE: Uses of `var` are intentional for older V8 version that do not\n// support both `let compound assignments` and `const phi`\nFFT.prototype._transform4 = function _transform4() {\n  var out = this._out;\n  var size = this._csize;\n\n  // Initial step (permute and transform)\n  var width = this._width;\n  var step = 1 << width;\n  var len = (size / step) << 1;\n\n  var outOff;\n  var t;\n  var bitrev = this._bitrev;\n  if (len === 4) {\n    for (outOff = 0, t = 0; outOff < size; outOff += len, t++) {\n      const off = bitrev[t];\n      this._singleTransform2(outOff, off, step);\n    }\n  } else {\n    // len === 8\n    for (outOff = 0, t = 0; outOff < size; outOff += len, t++) {\n      const off = bitrev[t];\n      this._singleTransform4(outOff, off, step);\n    }\n  }\n\n  // Loop through steps in decreasing order\n  var inv = this._inv ? -1 : 1;\n  var table = this.table;\n  for (step >>= 2; step >= 2; step >>= 2) {\n    len = (size / step) << 1;\n    var quarterLen = len >>> 2;\n\n    // Loop through offsets in the data\n    for (outOff = 0; outOff < size; outOff += len) {\n      // Full case\n      var limit = outOff + quarterLen;\n      for (var i = outOff, k = 0; i < limit; i += 2, k += step) {\n        const A = i;\n        const B = A + quarterLen;\n        const C = B + quarterLen;\n        const D = C + quarterLen;\n\n        // Original values\n        const Ar = out[A];\n        const Ai = out[A + 1];\n        const Br = out[B];\n        const Bi = out[B + 1];\n        const Cr = out[C];\n        const Ci = out[C + 1];\n        const Dr = out[D];\n        const Di = out[D + 1];\n\n        // Middle values\n        const MAr = Ar;\n        const MAi = Ai;\n\n        const tableBr = table[k];\n        const tableBi = inv * table[k + 1];\n        const MBr = Br * tableBr - Bi * tableBi;\n        const MBi = Br * tableBi + Bi * tableBr;\n\n        const tableCr = table[2 * k];\n        const tableCi = inv * table[2 * k + 1];\n        const MCr = Cr * tableCr - Ci * tableCi;\n        const MCi = Cr * tableCi + Ci * tableCr;\n\n        const tableDr = table[3 * k];\n        const tableDi = inv * table[3 * k + 1];\n        const MDr = Dr * tableDr - Di * tableDi;\n        const MDi = Dr * tableDi + Di * tableDr;\n\n        // Pre-Final values\n        const T0r = MAr + MCr;\n        const T0i = MAi + MCi;\n        const T1r = MAr - MCr;\n        const T1i = MAi - MCi;\n        const T2r = MBr + MDr;\n        const T2i = MBi + MDi;\n        const T3r = inv * (MBr - MDr);\n        const T3i = inv * (MBi - MDi);\n\n        // Final values\n        const FAr = T0r + T2r;\n        const FAi = T0i + T2i;\n\n        const FCr = T0r - T2r;\n        const FCi = T0i - T2i;\n\n        const FBr = T1r + T3i;\n        const FBi = T1i - T3r;\n\n        const FDr = T1r - T3i;\n        const FDi = T1i + T3r;\n\n        out[A] = FAr;\n        out[A + 1] = FAi;\n        out[B] = FBr;\n        out[B + 1] = FBi;\n        out[C] = FCr;\n        out[C + 1] = FCi;\n        out[D] = FDr;\n        out[D + 1] = FDi;\n      }\n    }\n  }\n};\n\n// radix-2 implementation\n//\n// NOTE: Only called for len=4\nFFT.prototype._singleTransform2 = function _singleTransform2(outOff, off,\n                                                             step) {\n  const out = this._out;\n  const data = this._data;\n\n  const evenR = data[off];\n  const evenI = data[off + 1];\n  const oddR = data[off + step];\n  const oddI = data[off + step + 1];\n\n  const leftR = evenR + oddR;\n  const leftI = evenI + oddI;\n  const rightR = evenR - oddR;\n  const rightI = evenI - oddI;\n\n  out[outOff] = leftR;\n  out[outOff + 1] = leftI;\n  out[outOff + 2] = rightR;\n  out[outOff + 3] = rightI;\n};\n\n// radix-4\n//\n// NOTE: Only called for len=8\nFFT.prototype._singleTransform4 = function _singleTransform4(outOff, off,\n                                                             step) {\n  const out = this._out;\n  const data = this._data;\n  const inv = this._inv ? -1 : 1;\n  const step2 = step * 2;\n  const step3 = step * 3;\n\n  // Original values\n  const Ar = data[off];\n  const Ai = data[off + 1];\n  const Br = data[off + step];\n  const Bi = data[off + step + 1];\n  const Cr = data[off + step2];\n  const Ci = data[off + step2 + 1];\n  const Dr = data[off + step3];\n  const Di = data[off + step3 + 1];\n\n  // Pre-Final values\n  const T0r = Ar + Cr;\n  const T0i = Ai + Ci;\n  const T1r = Ar - Cr;\n  const T1i = Ai - Ci;\n  const T2r = Br + Dr;\n  const T2i = Bi + Di;\n  const T3r = inv * (Br - Dr);\n  const T3i = inv * (Bi - Di);\n\n  // Final values\n  const FAr = T0r + T2r;\n  const FAi = T0i + T2i;\n\n  const FBr = T1r + T3i;\n  const FBi = T1i - T3r;\n\n  const FCr = T0r - T2r;\n  const FCi = T0i - T2i;\n\n  const FDr = T1r - T3i;\n  const FDi = T1i + T3r;\n\n  out[outOff] = FAr;\n  out[outOff + 1] = FAi;\n  out[outOff + 2] = FBr;\n  out[outOff + 3] = FBi;\n  out[outOff + 4] = FCr;\n  out[outOff + 5] = FCi;\n  out[outOff + 6] = FDr;\n  out[outOff + 7] = FDi;\n};\n\n// Real input radix-4 implementation\nFFT.prototype._realTransform4 = function _realTransform4() {\n  var out = this._out;\n  var size = this._csize;\n\n  // Initial step (permute and transform)\n  var width = this._width;\n  var step = 1 << width;\n  var len = (size / step) << 1;\n\n  var outOff;\n  var t;\n  var bitrev = this._bitrev;\n  if (len === 4) {\n    for (outOff = 0, t = 0; outOff < size; outOff += len, t++) {\n      const off = bitrev[t];\n      this._singleRealTransform2(outOff, off >>> 1, step >>> 1);\n    }\n  } else {\n    // len === 8\n    for (outOff = 0, t = 0; outOff < size; outOff += len, t++) {\n      const off = bitrev[t];\n      this._singleRealTransform4(outOff, off >>> 1, step >>> 1);\n    }\n  }\n\n  // Loop through steps in decreasing order\n  var inv = this._inv ? -1 : 1;\n  var table = this.table;\n  for (step >>= 2; step >= 2; step >>= 2) {\n    len = (size / step) << 1;\n    var halfLen = len >>> 1;\n    var quarterLen = halfLen >>> 1;\n    var hquarterLen = quarterLen >>> 1;\n\n    // Loop through offsets in the data\n    for (outOff = 0; outOff < size; outOff += len) {\n      for (var i = 0, k = 0; i <= hquarterLen; i += 2, k += step) {\n        var A = outOff + i;\n        var B = A + quarterLen;\n        var C = B + quarterLen;\n        var D = C + quarterLen;\n\n        // Original values\n        var Ar = out[A];\n        var Ai = out[A + 1];\n        var Br = out[B];\n        var Bi = out[B + 1];\n        var Cr = out[C];\n        var Ci = out[C + 1];\n        var Dr = out[D];\n        var Di = out[D + 1];\n\n        // Middle values\n        var MAr = Ar;\n        var MAi = Ai;\n\n        var tableBr = table[k];\n        var tableBi = inv * table[k + 1];\n        var MBr = Br * tableBr - Bi * tableBi;\n        var MBi = Br * tableBi + Bi * tableBr;\n\n        var tableCr = table[2 * k];\n        var tableCi = inv * table[2 * k + 1];\n        var MCr = Cr * tableCr - Ci * tableCi;\n        var MCi = Cr * tableCi + Ci * tableCr;\n\n        var tableDr = table[3 * k];\n        var tableDi = inv * table[3 * k + 1];\n        var MDr = Dr * tableDr - Di * tableDi;\n        var MDi = Dr * tableDi + Di * tableDr;\n\n        // Pre-Final values\n        var T0r = MAr + MCr;\n        var T0i = MAi + MCi;\n        var T1r = MAr - MCr;\n        var T1i = MAi - MCi;\n        var T2r = MBr + MDr;\n        var T2i = MBi + MDi;\n        var T3r = inv * (MBr - MDr);\n        var T3i = inv * (MBi - MDi);\n\n        // Final values\n        var FAr = T0r + T2r;\n        var FAi = T0i + T2i;\n\n        var FBr = T1r + T3i;\n        var FBi = T1i - T3r;\n\n        out[A] = FAr;\n        out[A + 1] = FAi;\n        out[B] = FBr;\n        out[B + 1] = FBi;\n\n        // Output final middle point\n        if (i === 0) {\n          var FCr = T0r - T2r;\n          var FCi = T0i - T2i;\n          out[C] = FCr;\n          out[C + 1] = FCi;\n          continue;\n        }\n\n        // Do not overwrite ourselves\n        if (i === hquarterLen)\n          continue;\n\n        // In the flipped case:\n        // MAi = -MAi\n        // MBr=-MBi, MBi=-MBr\n        // MCr=-MCr\n        // MDr=MDi, MDi=MDr\n        var ST0r = T1r;\n        var ST0i = -T1i;\n        var ST1r = T0r;\n        var ST1i = -T0i;\n        var ST2r = -inv * T3i;\n        var ST2i = -inv * T3r;\n        var ST3r = -inv * T2i;\n        var ST3i = -inv * T2r;\n\n        var SFAr = ST0r + ST2r;\n        var SFAi = ST0i + ST2i;\n\n        var SFBr = ST1r + ST3i;\n        var SFBi = ST1i - ST3r;\n\n        var SA = outOff + quarterLen - i;\n        var SB = outOff + halfLen - i;\n\n        out[SA] = SFAr;\n        out[SA + 1] = SFAi;\n        out[SB] = SFBr;\n        out[SB + 1] = SFBi;\n      }\n    }\n  }\n};\n\n// radix-2 implementation\n//\n// NOTE: Only called for len=4\nFFT.prototype._singleRealTransform2 = function _singleRealTransform2(outOff,\n                                                                     off,\n                                                                     step) {\n  const out = this._out;\n  const data = this._data;\n\n  const evenR = data[off];\n  const oddR = data[off + step];\n\n  const leftR = evenR + oddR;\n  const rightR = evenR - oddR;\n\n  out[outOff] = leftR;\n  out[outOff + 1] = 0;\n  out[outOff + 2] = rightR;\n  out[outOff + 3] = 0;\n};\n\n// radix-4\n//\n// NOTE: Only called for len=8\nFFT.prototype._singleRealTransform4 = function _singleRealTransform4(outOff,\n                                                                     off,\n                                                                     step) {\n  const out = this._out;\n  const data = this._data;\n  const inv = this._inv ? -1 : 1;\n  const step2 = step * 2;\n  const step3 = step * 3;\n\n  // Original values\n  const Ar = data[off];\n  const Br = data[off + step];\n  const Cr = data[off + step2];\n  const Dr = data[off + step3];\n\n  // Pre-Final values\n  const T0r = Ar + Cr;\n  const T1r = Ar - Cr;\n  const T2r = Br + Dr;\n  const T3r = inv * (Br - Dr);\n\n  // Final values\n  const FAr = T0r + T2r;\n\n  const FBr = T1r;\n  const FBi = -T3r;\n\n  const FCr = T0r - T2r;\n\n  const FDr = T1r;\n  const FDi = T3r;\n\n  out[outOff] = FAr;\n  out[outOff + 1] = 0;\n  out[outOff + 2] = FBr;\n  out[outOff + 3] = FBi;\n  out[outOff + 4] = FCr;\n  out[outOff + 5] = 0;\n  out[outOff + 6] = FDr;\n  out[outOff + 7] = FDi;\n};\n","export function createNumberArray(ArrayConstructor, length) {\n    if (ArrayConstructor === Array) {\n        return new ArrayConstructor(length).fill(0);\n    }\n    else {\n        return new ArrayConstructor(length);\n    }\n}\nexport function createDoubleArray(ArrayConstructor, length) {\n    if (ArrayConstructor === Array) {\n        return new ArrayConstructor(length).fill(0);\n    }\n    else {\n        return new ArrayConstructor(length);\n    }\n}\n//# sourceMappingURL=createArray.js.map","/**\n * Create an array with numbers between \"from\" and \"to\" of length \"length\"\n * @param options - options\n * @returns - array of distributed numbers between \"from\" and \"to\"\n */\nexport function createFromToArray(options = {}) {\n    const { from = 0, to = 1, length = 1000, includeFrom = true, includeTo = true, distribution = 'uniform', } = options;\n    const array = new Float64Array(length);\n    let div = length;\n    if (includeFrom && includeTo) {\n        div = length - 1;\n    }\n    else if ((!includeFrom && includeTo) || (includeFrom && !includeTo)) {\n        div = length;\n    }\n    else if (!includeFrom && !includeTo) {\n        div = length + 1;\n    }\n    const delta = (to - from) / div;\n    if (distribution === 'uniform') {\n        if (includeFrom) {\n            let index = 0;\n            while (index < length) {\n                array[index] = from + delta * index;\n                index++;\n            }\n        }\n        else {\n            let index = 0;\n            while (index < length) {\n                array[index] = from + delta * (index + 1);\n                index++;\n            }\n        }\n    }\n    else if (distribution === 'log') {\n        const base = (to / from) ** (1 / div);\n        const firstExponent = Math.log(from) / Math.log(base);\n        if (includeFrom) {\n            let index = 0;\n            while (index < length) {\n                array[index] = base ** (firstExponent + index);\n                index++;\n            }\n        }\n        else {\n            let index = 0;\n            while (index < length) {\n                array[index] = base ** (firstExponent + index + 1);\n                index++;\n            }\n        }\n    }\n    else {\n        throw new Error('distribution must be uniform or log');\n    }\n    return array;\n}\n//# sourceMappingURL=createFromToArray.js.map","const LOOP = 8;\nconst FLOAT_MUL = 1 / 16777216;\nconst sh1 = 15;\nconst sh2 = 18;\nconst sh3 = 11;\nfunction multiplyUint32(n, m) {\n    n >>>= 0;\n    m >>>= 0;\n    const nlo = n & 0xffff;\n    const nhi = n - nlo;\n    return (((nhi * m) >>> 0) + nlo * m) >>> 0;\n}\nexport class XSadd {\n    random;\n    state;\n    /**\n     * create an instance of XSadd with the specified seed\n     * @param [seed=Date.now()]\n     */\n    constructor(seed = Date.now()) {\n        this.state = new Uint32Array(4);\n        this.init(seed);\n        this.random = this.getFloat.bind(this);\n    }\n    /**\n     * Returns a 32-bit integer r (0 <= r < 2^32)\n     */\n    getUint32() {\n        this.nextState();\n        return (this.state[3] + this.state[2]) >>> 0;\n    }\n    /**\n     * Returns a floating point number r (0.0 <= r < 1.0)\n     */\n    getFloat() {\n        return (this.getUint32() >>> 8) * FLOAT_MUL;\n    }\n    init(seed) {\n        if (!Number.isInteger(seed)) {\n            throw new TypeError(\"seed must be an integer\");\n        }\n        this.state[0] = seed;\n        this.state[1] = 0;\n        this.state[2] = 0;\n        this.state[3] = 0;\n        for (let i = 1; i < LOOP; i++) {\n            this.state[i & 3] ^=\n                (i +\n                    multiplyUint32(1812433253, this.state[(i - 1) & 3] ^ ((this.state[(i - 1) & 3] >>> 30) >>> 0))) >>>\n                    0;\n        }\n        this.periodCertification();\n        for (let i = 0; i < LOOP; i++) {\n            this.nextState();\n        }\n    }\n    periodCertification() {\n        if (this.state[0] === 0 &&\n            this.state[1] === 0 &&\n            this.state[2] === 0 &&\n            this.state[3] === 0) {\n            this.state[0] = 88; // X\n            this.state[1] = 83; // S\n            this.state[2] = 65; // A\n            this.state[3] = 68; // D\n        }\n    }\n    nextState() {\n        let t = this.state[0];\n        t ^= t << sh1;\n        t ^= t >>> sh2;\n        t ^= this.state[3] << sh3;\n        this.state[0] = this.state[1];\n        this.state[1] = this.state[2];\n        this.state[2] = this.state[3];\n        this.state[3] = t;\n    }\n}\n//# sourceMappingURL=XSadd.js.map","import { XSadd } from 'ml-xsadd';\n/**\n * Create a random array of numbers of a specific length.\n * @param options\n * @returns - array of random floats normally distributed\n */\nexport function createRandomArray(options = {}) {\n    const { mean = 0, standardDeviation = 1, length = 1000, range = 1, seed, distribution = 'normal', } = options;\n    const generator = new XSadd(seed);\n    const returnArray = new Float64Array(length);\n    switch (distribution) {\n        case 'normal': {\n            const gaussianGenerator = new GaussianGenerator(mean, standardDeviation, generator);\n            for (let i = 0; i < length; i++) {\n                returnArray[i] = gaussianGenerator.generateGaussian();\n            }\n            break;\n        }\n        case 'uniform': {\n            for (let i = 0; i < length; i++) {\n                returnArray[i] = (generator.random() - 0.5) * range + mean;\n            }\n            break;\n        }\n        default: {\n            throw new Error(`unknown distribution: ${String(distribution)}`);\n        }\n    }\n    return returnArray;\n}\nclass GaussianGenerator {\n    #spare = 0;\n    #hasSpare = false;\n    #mean;\n    #standardDeviation;\n    #generator;\n    constructor(mean, standardDeviation, generator) {\n        this.#mean = mean;\n        this.#standardDeviation = standardDeviation;\n        this.#generator = generator;\n    }\n    generateGaussian() {\n        let val, u, v, s;\n        if (this.#hasSpare) {\n            this.#hasSpare = false;\n            val = this.#spare * this.#standardDeviation + this.#mean;\n        }\n        else {\n            do {\n                u = this.#generator.random() * 2 - 1;\n                v = this.#generator.random() * 2 - 1;\n                s = u * u + v * v;\n            } while (s >= 1 || s === 0);\n            s = Math.sqrt((-2 * Math.log(s)) / s);\n            this.#spare = v * s;\n            this.#hasSpare = true;\n            val = this.#mean + this.#standardDeviation * u * s;\n        }\n        return val;\n    }\n}\n//# sourceMappingURL=createRandomArray.js.map","/**\n * Create an array with numbers starting from \"from\" with step \"step\" of length \"length\".\n * @param options - options\n * @returns - array of distributed numbers with step \"step\" from \"from\"\n */\nexport function createStepArray(options = {}) {\n    const { from = 0, step = 1, length = 1000 } = options;\n    const array = new Float64Array(length);\n    let index = 0;\n    while (index < length) {\n        array[index] = from + step * index;\n        index++;\n    }\n    return array;\n}\n//# sourceMappingURL=createStepArray.js.map","export function getRescaler(options = {}) {\n    const { targetMin = 0, targetMax = 1, clamp = true, algorithmOptions = {}, algorithm = 'linear', } = options;\n    let { originalMin = 0, originalMax = 1 } = options;\n    const convert = getDataConverter(algorithm, algorithmOptions);\n    originalMin = convert(originalMin);\n    originalMax = convert(originalMax);\n    const originalRange = originalMax - originalMin;\n    const targetRange = targetMax - targetMin;\n    return function rescaler(value) {\n        value = convert(value);\n        value = checkRange(value, originalMin, originalMax, clamp);\n        const valueScaled = (value - originalMin) / originalRange;\n        return targetMin + valueScaled * targetRange;\n    };\n}\nfunction getDataConverter(kind = 'linear', options = {}) {\n    return (value) => {\n        switch (kind) {\n            case 'linear':\n                return value;\n            case 'logarithmic':\n                return Math.log10(value);\n            case 'power':\n                return value ** (options.power || 2);\n            default:\n                throw new Error(`Unknown kind ${String(kind)}`);\n        }\n    };\n}\nfunction checkRange(value, min, max, clamp = true) {\n    if (value < min) {\n        if (clamp)\n            return min;\n        throw new RangeError(`Value ${value} is out of range [${min}, ${max}]`);\n    }\n    if (value > max) {\n        if (clamp)\n            return max;\n        throw new RangeError(`Value ${value} is out of range [${min}, ${max}]`);\n    }\n    return value;\n}\n//# sourceMappingURL=getRescaler.js.map","/**\n * Check if a number is a power of two.\n * @param n\n */\nexport function isPowerOfTwo(n) {\n    return n !== 0 && (n & (n - 1)) === 0;\n}\n//# sourceMappingURL=isPowerOfTwo.js.map","/**\n * Get the size of the next power of two.\n * @param n\n */\nexport function nextPowerOfTwo(n) {\n    if (n === 0)\n        return 1;\n    n--;\n    n |= n >> 1;\n    n |= n >> 2;\n    n |= n >> 4;\n    n |= n >> 8;\n    n |= n >> 16;\n    return n + 1;\n}\n//# sourceMappingURL=nextPowerOfTwo.js.map","/**\n * Resolves all promises in an object recursively. The promise with be replaced by the resolved value.\n * The changes are therefore done in-place !\n * @param object\n * @returns\n */\nexport async function recursiveResolve(object) {\n    if (typeof object !== 'object')\n        return object;\n    const promises = [];\n    await appendPromises(object, promises);\n    await Promise.all(promises);\n    return object;\n}\nfunction appendPromises(object, promises) {\n    if (typeof object !== 'object')\n        return object;\n    for (const key in object) {\n        if (typeof object[key].then === 'function') {\n            promises.push(object[key].then((value) => (object[key] = value)));\n        }\n        else if (typeof object[key] === 'object') {\n            appendPromises(object[key], promises);\n        }\n    }\n    return object;\n}\n//# sourceMappingURL=recursiveResolve.js.map","/**\n * Recursively change the typed arrays to normal arrays\n * The changes are done in-place !\n * @param object\n * @returns\n */\nexport function recursiveUntypeArrays(object) {\n    if (typeof object !== 'object')\n        return object;\n    object = modifier(object);\n    return object;\n}\nfunction modifier(object) {\n    if (typeof object !== 'object')\n        return object;\n    if (ArrayBuffer.isView(object)) {\n        return Array.from(object);\n    }\n    for (const key in object) {\n        if (ArrayBuffer.isView(object[key])) {\n            object[key] = Array.from(object[key]);\n        }\n        else if (typeof object[key] === 'object') {\n            modifier(object[key]);\n        }\n    }\n    return object;\n}\n//# sourceMappingURL=recursiveUntypeArrays.js.map","/* eslint-disable @typescript-eslint/no-explicit-any */\n/**\n * Stringify an object and convert all typed arrays to arrays\n * @param object\n * @param replacer\n * @param space\n * @returns\n */\nexport function stringify(object, replacer, space) {\n    const internalReplacer = (key, value) => {\n        if (ArrayBuffer.isView(value)) {\n            value = Array.from(value);\n        }\n        if (replacer) {\n            return replacer(key, value);\n        }\n        return value;\n    };\n    return JSON.stringify(object, internalReplacer, space);\n}\n//# sourceMappingURL=stringify.js.map","import { isAnyArray } from 'is-any-array';\n/**\n * This function xSubtract the first array by the second array or a constant value from each element of the first array\n * @param array1 - the array that will be rotated\n * @param array2 - second array or number\n * @returns array after subtraction\n */\nexport function xSubtract(array1, array2) {\n    let isConstant = false;\n    let constant = 0;\n    if (isAnyArray(array2)) {\n        if (array1.length !== array2.length) {\n            throw new Error('size of array1 and array2 must be identical');\n        }\n    }\n    else {\n        isConstant = true;\n        constant = Number(array2);\n    }\n    const array3 = new Float64Array(array1.length);\n    if (isConstant) {\n        for (let i = 0; i < array1.length; i++) {\n            array3[i] = array1[i] - constant;\n        }\n    }\n    else {\n        for (let i = 0; i < array1.length; i++) {\n            array3[i] = array1[i] - array2[i];\n        }\n    }\n    return array3;\n}\n//# sourceMappingURL=xSubtract.js.map","import { xAbsolute } from '../x/xAbsolute';\nimport { xMedian } from '../x/xMedian';\nimport { xSubtract } from '../x/xSubtract';\n/**\n * Calculate the weights based on the control points and the MAD between the original data and the new baseline.\n * MAD (Median Absolute Deviation) is more robust to outliers and\n * the factor (1.4826) makes MAD scaled to be equivalent to the standard deviation for\n * normal distributions. {@link https://en.m.wikipedia.org/wiki/Median_absolute_deviation}.\n * @param yData - The original data.\n * @param baseline - The new baseline calculated.\n * @param weights - The current weights to be updated.\n * @param options - Options for updating weights.\n * @returns new array of weights.\n */\nexport function calculateAdaptiveWeights(yData, baseline, weights, options) {\n    const { controlPoints, factorStd = 3, learningRate = 0.5, minWeight = 0.01, } = options;\n    const absResiduals = xAbsolute(xSubtract(yData, baseline));\n    const medAbsRes = xMedian(absResiduals);\n    const mad = 1.4826 * medAbsRes;\n    const threshold = factorStd * mad;\n    const rawWeights = new Float64Array(absResiduals.length);\n    for (let i = 0; i < absResiduals.length; i++) {\n        rawWeights[i] = Math.exp(-((absResiduals[i] / threshold) ** 2));\n    }\n    let maxWeight = Number.MIN_SAFE_INTEGER;\n    const newWeights = Float64Array.from(weights);\n    const oneMinusLearningRate = 1 - learningRate;\n    for (let i = 0; i < newWeights.length; i++) {\n        if (controlPoints && controlPoints[i] > 0)\n            continue;\n        const weight = Math.max(minWeight, oneMinusLearningRate * weights[i] + learningRate * rawWeights[i]);\n        newWeights[i] = weight;\n        maxWeight = Math.max(maxWeight, weight);\n    }\n    newWeights[0] = maxWeight;\n    newWeights[weights.length - 1] = maxWeight;\n    return newWeights;\n}\n//# sourceMappingURL=calculateAdaptiveWeights.js.map","import FFT from 'fft.js';\nimport { nextPowerOfTwo, isPowerOfTwo } from '../utils';\nimport { xCheck } from './xCheck';\n/**\n * Performs the Hilbert transform\n * @link https://en.wikipedia.org/wiki/Hilbert_transform\n * @param array - Array containing values\n * @param options\n * @returns A new vector with 90 degree shift regarding the phase of the original function\n */\nexport function xHilbertTransform(array, options = {}) {\n    xCheck(array);\n    const { forceFFT = false } = options;\n    const length = array.length;\n    if (isPowerOfTwo(length)) {\n        return hilbertTransformWithFFT(array);\n    }\n    else if (forceFFT) {\n        return resampling(hilbertTransformWithFFT(resampling(array, nextPowerOfTwo(length))), length);\n    }\n    else {\n        return hilbertTransform(array);\n    }\n}\n/**\n * Performs the discrete Hilbert transform using fast Fourier transform\n * @param array - Array containing values\n * @returns A new vector with 90 degree shift regarding the phase of the original function\n * @see DOI: 10.1109/TAU.1970.1162139 \"Discrete Hilbert transform\"\n */\nfunction hilbertTransformWithFFT(array) {\n    const length = array.length;\n    const fft = new FFT(length);\n    const fftResult = new Float64Array(length * 2);\n    fft.realTransform(fftResult, array);\n    fft.completeSpectrum(fftResult);\n    const multiplier = new Float64Array(length);\n    for (let i = 1; i < length; i++) {\n        multiplier[i] = Math.sign(length / 2 - i);\n    }\n    for (let i = 0; i < length; i++) {\n        fftResult[i * 2] *= multiplier[i];\n        fftResult[i * 2 + 1] *= multiplier[i];\n    }\n    const hilbertSignal = new Float64Array(length * 2);\n    fft.inverseTransform(hilbertSignal, fftResult);\n    const result = new Float64Array(length);\n    for (let i = 0; i < length; i++) {\n        result[i] = hilbertSignal[i * 2 + 1];\n    }\n    return result;\n}\n/**\n * Performs the discrete Hilbert transform\n * @param array - Array containing values\n * @param options\n * @param options.inClockwise\n * @returns A new vector with 90 degree shift regarding the phase of the original function\n */\nfunction hilbertTransform(array, options = {}) {\n    const { inClockwise = true } = options;\n    const input = [0, ...array, 0];\n    const result = new Float64Array(array.length);\n    for (let k = 1; k < input.length - 1; k++) {\n        let aSum = 0;\n        for (let i = 0; i < k - 1; i++) {\n            const log = Math.log((k - i) / (k - i - 1));\n            aSum += input[i] * log + (input[i + 1] - input[i]) * (-1 + (k - i) * log);\n        }\n        const b = input[k - 1] - input[k + 1];\n        let cSum = 0;\n        for (let i = k + 1; i < input.length - 1; i++) {\n            const log = Math.log((i - k) / (i - k + 1));\n            cSum += input[i] * log + (input[i - 1] - input[i]) * (1 + (i - k) * log);\n        }\n        result[k - 1] = ((inClockwise ? 1 : -1) * (aSum + b + cSum)) / Math.PI;\n    }\n    return result;\n}\n/**\n * Performs resampling of an input array to the desired length employing linear interpolation.\n * @param array - Array containing values.\n * @param length - The length of the resulting array.\n * @returns It returns a new array of the desired length.\n * @link https://en.wikipedia.org/wiki/Sample-rate_conversion\n */\nfunction resampling(array, length) {\n    xCheck(array);\n    const oldLength = array.length;\n    const ratio = (oldLength - 1) / (length - 1);\n    const result = new Float64Array(length);\n    let currentIndex = 0;\n    let floor = Math.floor(currentIndex);\n    let ceil = Math.min(Math.ceil(currentIndex), oldLength - 1);\n    let diff = currentIndex - floor;\n    for (let i = 0; i < length; i++) {\n        result[i] = array[floor] * (1 - diff) + array[ceil] * diff;\n        currentIndex += ratio;\n        floor = Math.floor(currentIndex);\n        ceil = Math.min(Math.ceil(currentIndex), oldLength - 1);\n        diff = currentIndex - floor;\n    }\n    return result;\n}\n//# sourceMappingURL=xHilbertTransform.js.map","import { xCheck } from './xCheck';\nimport { xGetFromToIndex } from './xGetFromToIndex';\n/**\n * Computes the maximal value of an array of values\n * @param array - array of numbers\n * @param options - options\n */\nexport function xMaxValue(array, options = {}) {\n    xCheck(array);\n    const { fromIndex, toIndex } = xGetFromToIndex(array, options);\n    let maxValue = array[fromIndex];\n    for (let i = fromIndex + 1; i <= toIndex; i++) {\n        if (array[i] > maxValue) {\n            maxValue = array[i];\n        }\n    }\n    return maxValue;\n}\n//# sourceMappingURL=xMaxValue.js.map","import { xCheck } from './xCheck';\nimport { xGetFromToIndex } from './xGetFromToIndex';\n/**\n * Computes the minimal value of an array of values.\n * @param array - array of numbers\n * @param options - options\n */\nexport function xMinValue(array, options = {}) {\n    xCheck(array);\n    const { fromIndex, toIndex } = xGetFromToIndex(array, options);\n    let minValue = array[fromIndex];\n    for (let i = fromIndex + 1; i <= toIndex; i++) {\n        if (array[i] < minValue) {\n            minValue = array[i];\n        }\n    }\n    return minValue;\n}\n//# sourceMappingURL=xMinValue.js.map","import { createFromToArray } from '../utils';\nimport { xAbsolute } from './xAbsolute';\nimport { xCheck } from './xCheck';\nimport { xMaxValue } from './xMaxValue';\nimport { xMinValue } from './xMinValue';\n/**\n * Calculates a histogram of defined number of slots\n * @param array - Array containing values\n * @param options - options\n * @returns - result of the histogram\n */\nexport function xHistogram(array, options = {}) {\n    xCheck(array);\n    const histogram = options.histogram;\n    const { centerX = true, nbSlots = histogram === undefined ? 256 : histogram.x.length, logBaseX, logBaseY, absolute = false, } = options;\n    if (absolute) {\n        array = xAbsolute(array);\n    }\n    if (logBaseX) {\n        array = array.slice();\n        const logOfBase = Math.log10(logBaseX);\n        for (let i = 0; i < array.length; i++) {\n            array[i] = Math.log10(array[i]) / logOfBase;\n        }\n    }\n    const { min = xMinValue(array), max = xMaxValue(array) } = options;\n    const slotSize = (max - min) / (nbSlots + Number.EPSILON);\n    const y = histogram === undefined ? new Float64Array(nbSlots) : histogram.y;\n    const x = histogram === undefined\n        ? Array.from(createFromToArray({\n            from: min + (centerX ? slotSize / 2 : 0),\n            to: max - (centerX ? slotSize / 2 : 0),\n            length: nbSlots,\n        }))\n        : histogram.x;\n    for (const element of array) {\n        const index = Math.max(Math.min(Math.floor((element - min - Number.EPSILON) / slotSize), nbSlots - 1), 0);\n        y[index]++;\n    }\n    if (logBaseY) {\n        const logOfBase = Math.log10(logBaseY);\n        for (let i = 0; i < y.length; i++) {\n            y[i] = Math.log10(y[i] + 1) / logOfBase;\n        }\n    }\n    return { x, y };\n}\n//# sourceMappingURL=xHistogram.js.map","/**\n * Check if the values are separated always by the same difference\n * @param array - Monotone growing array of number\n * @param options\n */\nexport function xIsEquallySpaced(array, options = {}) {\n    if (array.length < 3)\n        return true;\n    const { tolerance = 0.05 } = options;\n    let maxDx = 0;\n    let minDx = Number.MAX_SAFE_INTEGER;\n    for (let i = 0; i < array.length - 1; ++i) {\n        const absoluteDifference = array[i + 1] - array[i];\n        if (absoluteDifference < minDx) {\n            minDx = absoluteDifference;\n        }\n        if (absoluteDifference > maxDx) {\n            maxDx = absoluteDifference;\n        }\n    }\n    return (maxDx - minDx) / maxDx < tolerance;\n}\n//# sourceMappingURL=xIsEquallySpaced.js.map","/**\n * Returns true if x is monotonic.\n * @param array - array of numbers.\n * @returns 1 if monotonic increasing, -1 if monotonic decreasing, 0 if not monotonic.\n */\nexport function xIsMonotonic(array) {\n    if (array.length <= 2) {\n        return 1;\n    }\n    if (array[0] === array[1]) {\n        // maybe a constant series\n        for (let i = 1; i < array.length - 1; i++) {\n            if (array[i] !== array[i + 1])\n                return 0;\n        }\n        return 1;\n    }\n    if (array[0] < array.at(-1)) {\n        for (let i = 0; i < array.length - 1; i++) {\n            if (array[i] >= array[i + 1])\n                return 0;\n        }\n        return 1;\n    }\n    else {\n        for (let i = 0; i < array.length - 1; i++) {\n            if (array[i] <= array[i + 1])\n                return 0;\n        }\n        return -1;\n    }\n}\n//# sourceMappingURL=xIsMonotonic.js.map","/**\n * Check the similarity between array created by xyMassCenterVector\n * @param array1\n * @param array2\n * @param options\n * @returns\n */\nexport function xMassCenterVectorSimilarity(array1, array2, options = {}) {\n    const { recenter = true, similarityFct = (a, b) => (a === b ? 1 : 0), } = options;\n    const depth1 = getDepth(array1);\n    const depth2 = getDepth(array2);\n    const depth = Math.min(depth1, depth2);\n    // need to copy the array because we shift the data in place if recenter is true\n    if (recenter) {\n        array1 = array1.slice();\n    }\n    let similarity = 0;\n    // we will compare level by level\n    // and recenter the array at each level\n    for (let level = 0; level < depth; level++) {\n        const maxSimilarity = 1 / depth / (1 << level);\n        for (let slot = 0; slot < 1 << level; slot++) {\n            const index = (1 << level) - 1 + slot;\n            const value1 = array1[index];\n            const value2 = array2[index];\n            similarity += similarityFct(value1, value2) * maxSimilarity;\n            if (recenter) {\n                shiftSubTree(array1, depth, level, slot, value2 - value1);\n            }\n        }\n    }\n    return similarity;\n}\nfunction shiftSubTree(array, depth, level, slot, shift) {\n    for (let currentLevel = level; currentLevel < depth; currentLevel++) {\n        const levelSlotShift = slot * (1 << (currentLevel - level));\n        const levelShift = (1 << currentLevel) - 1;\n        const levelSlotSize = 1 << (currentLevel - level);\n        for (let slotIndex = levelSlotShift; slotIndex < levelSlotShift + levelSlotSize; slotIndex++) {\n            const index = levelShift + slotIndex;\n            array[index] += shift;\n        }\n    }\n}\nfunction getDepth(array) {\n    const depth = Math.log2(array.length + 1);\n    if (depth % 1 !== 0) {\n        throw new Error('the array length is not a power of 2 minus 1');\n    }\n    return depth;\n}\n//# sourceMappingURL=xMassCenterVectorSimilarity.js.map","import { xCheck } from './xCheck';\nimport { xGetFromToIndex } from './xGetFromToIndex';\n/**\n * Computes the maximal value of an array of values\n * @param array - array of numbers\n * @param options - options\n */\nexport function xMaxAbsoluteValue(array, options = {}) {\n    xCheck(array);\n    const { fromIndex, toIndex } = xGetFromToIndex(array, options);\n    let maxValue = array[fromIndex];\n    for (let i = fromIndex + 1; i <= toIndex; i++) {\n        if (array[i] >= 0) {\n            if (array[i] > maxValue) {\n                maxValue = array[i];\n            }\n        }\n        else if (-array[i] > maxValue) {\n            maxValue = -array[i];\n        }\n    }\n    return maxValue;\n}\n//# sourceMappingURL=xMaxAbsoluteValue.js.map","import { xCheck } from './xCheck';\nimport { xGetFromToIndex } from './xGetFromToIndex';\n/**\n * Computes the index of the maximum of the given values\n * @param array - array of numbers\n * @param  options - options\n * @returns - index\n */\nexport function xMaxIndex(array, options = {}) {\n    xCheck(array);\n    const { fromIndex, toIndex } = xGetFromToIndex(array, options);\n    let maxIndex = fromIndex;\n    for (let i = fromIndex + 1; i <= toIndex; i++) {\n        if (array[i] > array[maxIndex]) {\n            maxIndex = i;\n        }\n    }\n    return maxIndex;\n}\n//# sourceMappingURL=xMaxIndex.js.map","import { xCheckLengths } from './xCheckLengths';\n/**\n * This function calculates the mean absolute error.\n * @param array1 - first array\n * @param array2 - second array\n */\nexport function xMeanAbsoluteError(array1, array2) {\n    xCheckLengths(array1, array2);\n    let sum = 0;\n    for (let i = 0; i < array1.length; i++) {\n        sum += Math.abs(array1[i] - array2[i]);\n    }\n    return sum / array1.length;\n}\n//# sourceMappingURL=xMeanAbsoluteError.js.map","import { xCheckLengths } from './xCheckLengths';\n/**\n * This function calculates the mean squared error.\n * @param array1 -first array\n * @param array2 - second array\n */\nexport function xMeanSquaredError(array1, array2) {\n    xCheckLengths(array1, array2);\n    let sum = 0;\n    for (let i = 0; i < array1.length; i++) {\n        sum += (array1[i] - array2[i]) ** 2;\n    }\n    return sum / array1.length;\n}\n//# sourceMappingURL=xMeanSquaredError.js.map","import { xCheck } from './xCheck';\nimport { xGetFromToIndex } from './xGetFromToIndex';\n/**\n * Computes the weighted mean value of an array of values.\n * @deprecated please use xyMassCenter\n * @param array - array of numbers\n * @param weights - array of weights\n * @param options - options\n */\nexport function xMeanWeighted(array, weights, options = {}) {\n    xCheck(array, { minLength: 1 });\n    xCheck(weights);\n    if (array.length !== weights.length) {\n        throw new Error('array and weights must have the same length');\n    }\n    const { fromIndex, toIndex } = xGetFromToIndex(array, options);\n    // normalize weights\n    let sumWeights = 0;\n    let sumValue = array[fromIndex] * weights[fromIndex];\n    sumWeights += weights[fromIndex];\n    for (let i = fromIndex + 1; i <= toIndex; i++) {\n        sumValue += array[i] * weights[i];\n        sumWeights += weights[i];\n    }\n    if (sumWeights === 0) {\n        // We throw because the case is not well defined\n        throw new Error('sum of weights must be > 0');\n    }\n    return sumValue / sumWeights;\n}\n//# sourceMappingURL=xMeanWeighted.js.map","import { xMedian } from './xMedian';\n/**\n * This function calculates the median absolute deviation (MAD).\n * https://en.wikipedia.org/wiki/Median_absolute_deviation\n * @param array\n */\nexport function xMedianAbsoluteDeviation(array) {\n    const median = xMedian(array);\n    const averageDeviations = new Float64Array(array.length);\n    for (let i = 0; i < array.length; i++) {\n        averageDeviations[i] = Math.abs(array[i] - median);\n    }\n    return {\n        median,\n        mad: xMedian(averageDeviations),\n    };\n}\n//# sourceMappingURL=xMedianAbsoluteDeviation.js.map","import { xCheck } from './xCheck';\nimport { xGetFromToIndex } from './xGetFromToIndex';\n/**\n * Computes the index of the minimum of the given values.\n * @param array - array of numbers\n * @param options - options\n * @returns - index\n */\nexport function xMinIndex(array, options = {}) {\n    xCheck(array);\n    const { fromIndex, toIndex } = xGetFromToIndex(array, options);\n    let minIndex = fromIndex;\n    for (let i = fromIndex + 1; i <= toIndex; i++) {\n        if (array[i] < array[minIndex]) {\n            minIndex = i;\n        }\n    }\n    return minIndex;\n}\n//# sourceMappingURL=xMinIndex.js.map","import { xCheck } from './xCheck';\n/**\n * Return min and max values of an array.\n * @param array - array of number\n * @returns - Object with 2 properties, min and max\n */\nexport function xMinMaxDelta(array) {\n    xCheck(array, {\n        minLength: 2,\n    });\n    let minDelta = array[1] - array[0];\n    let maxDelta = minDelta;\n    for (let i = 0; i < array.length - 1; i++) {\n        const delta = array[i + 1] - array[i];\n        if (delta < minDelta)\n            minDelta = delta;\n        if (delta > maxDelta)\n            maxDelta = delta;\n    }\n    return { min: minDelta, max: maxDelta };\n}\n//# sourceMappingURL=xMinMaxDelta.js.map","import { xCheck } from './xCheck';\n/**\n * Return min and max values of an array.\n * @param array - array of number\n * @returns - Object with 2 properties, min and max.\n */\nexport function xMinMaxValues(array) {\n    xCheck(array);\n    let min = array[0];\n    let max = array[0];\n    for (const value of array) {\n        if (value < min)\n            min = value;\n        if (value > max)\n            max = value;\n    }\n    return { min, max };\n}\n//# sourceMappingURL=xMinMaxValues.js.map","/**\n * Calculates the mode of an array\n * @param input - Array containing values\n * @returns - mode\n */\nexport function xMode(input) {\n    if (input.length === 0) {\n        throw new TypeError('input must not be empty');\n    }\n    let maxValue = 0;\n    let maxCount = 0;\n    let count = 0;\n    const counts = {};\n    for (let i = 0; i < input.length; ++i) {\n        const element = input[i];\n        count = counts[element];\n        if (count) {\n            counts[element]++;\n            count++;\n        }\n        else {\n            counts[element] = 1;\n            count = 1;\n        }\n        if (count > maxCount) {\n            maxCount = count;\n            maxValue = input[i];\n        }\n    }\n    return maxValue;\n}\n//# sourceMappingURL=xMode.js.map","/*\nAdapted from: https://github.com/compute-io/erfcinv/blob/aa116e23883839359e310ad41a7c42f72815fc1e/lib/number.js\n\nThe MIT License (MIT)\n\nCopyright (c) 2014-2015 The Compute.io Authors. All rights reserved.\n\nPermission is hereby granted, free of charge, to any person obtaining a copy\nof this software and associated documentation files (the \"Software\"), to deal\nin the Software without restriction, including without limitation the rights\nto use, copy, modify, merge, publish, distribute, sublicense, and/or sell\ncopies of the Software, and to permit persons to whom the Software is\nfurnished to do so, subject to the following conditions:\n\nThe above copyright notice and this permission notice shall be included in all\ncopies or substantial portions of the Software.\n\nTHE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\nIMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\nFITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE\nAUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\nLIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,\nOUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE\nSOFTWARE.\n\n\nBoost Software License - Version 1.0 - August 17th, 2003\n\nPermission is hereby granted, free of charge, to any person or organization obtaining a copy of the software and accompanying documentation covered by this license (the \"Software\") to use, reproduce, display, distribute, execute, and transmit the Software, and to prepare derivative works of the Software, and to permit third-parties to whom the Software is furnished to do so, all subject to the following:\n\nThe copyright notices in the Software and this entire statement, including the above license grant, this restriction and the following disclaimer, must be included in all copies of the Software, in whole or in part, and all derivative works of the Software, unless such copies or derivative works are solely in the form of machine-executable object code generated by a source language processor.\n\nTHE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE, TITLE AND NON-INFRINGEMENT. IN NO EVENT SHALL THE COPYRIGHT HOLDERS OR ANYONE DISTRIBUTING THE SOFTWARE BE LIABLE FOR ANY DAMAGES OR OTHER LIABILITY, WHETHER IN CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.\n*/\n// Coefficients for erfcinv on [0, 0.5]:\nconst Y1 = 8.91314744949340820313e-2;\nconst P1 = [\n    -5.38772965071242932965e-3, 8.22687874676915743155e-3,\n    2.19878681111168899165e-2, -3.65637971411762664006e-2,\n    -1.26926147662974029034e-2, 3.34806625409744615033e-2,\n    -8.36874819741736770379e-3, -5.08781949658280665617e-4,\n];\nconst Q1 = [\n    8.86216390456424707504e-4, -2.33393759374190016776e-3,\n    7.95283687341571680018e-2, -5.27396382340099713954e-2,\n    -7.1228902341542847553e-1, 6.62328840472002992063e-1, 1.56221558398423026363,\n    -1.56574558234175846809, -9.70005043303290640362e-1, 1,\n];\n// Coefficients for erfcinv for 0.5 > 1-x >= 0:\nconst Y2 = 2.249481201171875;\nconst P2 = [\n    -3.67192254707729348546, 2.11294655448340526258e1, 1.7445385985570866523e1,\n    -4.46382324441786960818e1, -1.88510648058714251895e1,\n    1.76447298408374015486e1, 8.37050328343119927838, 1.05264680699391713268e-1,\n    -2.02433508355938759655e-1,\n];\nconst Q2 = [\n    1.72114765761200282724, -2.26436933413139721736e1, 1.08268667355460159008e1,\n    4.85609213108739935468e1, -2.01432634680485188801e1,\n    -2.86608180499800029974e1, 3.9713437953343869095, 6.24264124854247537712, 1,\n];\n// Coefficients for erfcinv for sqrt( -log(1-x)):\nconst Y3 = 8.07220458984375e-1;\nconst P3 = [\n    -6.81149956853776992068e-10, 2.85225331782217055858e-8,\n    -6.79465575181126350155e-7, 2.14558995388805277169e-3,\n    2.90157910005329060432e-2, 1.42869534408157156766e-1,\n    3.37785538912035898924e-1, 3.87079738972604337464e-1,\n    1.17030156341995252019e-1, -1.63794047193317060787e-1,\n    -1.31102781679951906451e-1,\n];\nconst Q3 = [\n    1.105924229346489121e-2, 1.52264338295331783612e-1, 8.48854343457902036425e-1,\n    2.59301921623620271374, 4.77846592945843778382, 5.38168345707006855425,\n    3.46625407242567245975, 1,\n];\nconst Y4 = 9.3995571136474609375e-1;\nconst P4 = [\n    2.66339227425782031962e-12, -2.30404776911882601748e-10,\n    4.60469890584317994083e-6, 1.57544617424960554631e-4,\n    1.87123492819559223345e-3, 9.50804701325919603619e-3,\n    1.85573306514231072324e-2, -2.22426529213447927281e-3,\n    -3.50353787183177984712e-2,\n];\nconst Q4 = [\n    7.64675292302794483503e-5, 2.63861676657015992959e-3,\n    3.41589143670947727934e-2, 2.20091105764131249824e-1,\n    7.62059164553623404043e-1, 1.3653349817554063097, 1,\n];\nconst Y5 = 9.8362827301025390625e-1;\nconst P5 = [\n    9.9055709973310326855e-17, -2.81128735628831791805e-14,\n    4.62596163522878599135e-9, 4.49696789927706453732e-7,\n    1.49624783758342370182e-5, 2.09386317487588078668e-4,\n    1.05628862152492910091e-3, -1.12951438745580278863e-3,\n    -1.67431005076633737133e-2,\n];\nconst Q5 = [\n    2.82243172016108031869e-7, 2.75335474764726041141e-5,\n    9.64011807005165528527e-4, 1.60746087093676504695e-2,\n    1.38151865749083321638e-1, 5.91429344886417493481e-1, 1,\n];\n/**\n * Polyval.\n * @param c - Array of Number.\n * @param x - Number.\n * @returns Number.\n */\nfunction polyval(c, x) {\n    let p = 0;\n    for (const coef of c) {\n        p = p * x + coef;\n    }\n    return p;\n}\n/**\n * Calculates a rational approximation.\n * @private\n * @param x - Number.\n * @param v - Number.\n * @param P - Array of polynomial coefficients.\n * @param Q - Array of polynomial coefficients.\n * @param Y - Number.\n * @returns Rational approximation.\n */\nfunction calc(x, v, P, Q, Y) {\n    const s = x - v;\n    const r = polyval(P, s) / polyval(Q, s);\n    return Y * x + r * x;\n}\n/**\n * Evaluates the complementary inverse error function for an input value.\n * @private\n * @param x - Input value.\n * @returns Evaluated complementary inverse error function.\n */\nexport default function erfcinv(x) {\n    let sign = false;\n    let val;\n    let q;\n    let g;\n    let r;\n    // [1] Special cases...\n    // NaN:\n    if (Number.isNaN(x)) {\n        return Number.NaN;\n    }\n    // x not on the interval: [0,2]\n    if (x < 0 || x > 2) {\n        throw new RangeError(`erfcinv()::invalid input argument. Value must be on the interval [0,2]. Value: \\`${x}\\`.`);\n    }\n    if (x === 0) {\n        return Number.POSITIVE_INFINITY;\n    }\n    if (x === 2) {\n        return Number.NEGATIVE_INFINITY;\n    }\n    if (x === 1) {\n        return 0;\n    }\n    // [2] Get the sign and make use of `erfc` reflection formula: `erfc(-z)=2 - erfc(z)`...\n    if (x > 1) {\n        q = 2 - x;\n        x = 1 - q;\n        sign = true;\n    }\n    else {\n        q = x;\n        x = 1 - x;\n    }\n    // [3] |x| <= 0.5\n    if (x <= 0.5) {\n        g = x * (x + 10);\n        r = polyval(P1, x) / polyval(Q1, x);\n        val = g * Y1 + g * r;\n        return sign ? -val : val;\n    }\n    // [4] 1-|x| >= 0.25\n    if (q >= 0.25) {\n        g = Math.sqrt(-2 * Math.log(q));\n        q = q - 0.25;\n        r = polyval(P2, q) / polyval(Q2, q);\n        val = g / (Y2 + r);\n        return sign ? -val : val;\n    }\n    q = Math.sqrt(-Math.log(q));\n    // [5] q < 3\n    if (q < 3) {\n        return calc(q, 1.125, P3, Q3, Y3);\n    }\n    // [6] q < 6\n    if (q < 6) {\n        return calc(q, 3, P4, Q4, Y4);\n    }\n    // Note that the smallest number in JavaScript is 5e-324. Math.sqrt( -Math.log( 5e-324 ) ) ~27.2844\n    return calc(q, 6, P5, Q5, Y5);\n    // Note that in the boost library, they are able to go to much smaller values, as 128 bit long doubles support ~1e-5000; something which JavaScript does not natively support.\n}\n//# sourceMappingURL=erfcinv.js.map","import erfcinv from './erfcinv';\n/**\n * Applies a simple normalization inverse transformation to the input data.\n * @param data - The input array of numbers to be transformed.\n * @param options - Optional parameters for the transformation.\n * @returns A new Float64Array containing the transformed data.\n */\nexport function simpleNormInv(data, options = {}) {\n    const { magnitudeMode = false } = options;\n    const result = new Float64Array(data.length);\n    if (magnitudeMode) {\n        for (let i = 0; i < result.length; i++) {\n            result[i] = -Math.sqrt(-2 * Math.log(1 - data[i]));\n        }\n    }\n    else {\n        for (let i = 0; i < result.length; i++) {\n            result[i] = -1 * Math.SQRT2 * erfcinv(2 * data[i]);\n        }\n    }\n    return result;\n}\n/**\n * Convenience wrapper for single number processing by simpleNormInv function.\n * @param data - The number to be normalized.\n * @param options - The options for the normalization process.\n * @returns The normalized number.\n */\nexport function simpleNormInvNumber(data, options = {}) {\n    return simpleNormInv([data], options)[0];\n}\n//# sourceMappingURL=simpleNormInv.js.map","import { isAnyArray } from 'is-any-array';\nimport { createFromToArray } from '../utils';\nimport { simpleNormInvNumber } from './utils/simpleNormInv';\nimport { xEnsureFloat64 } from './xEnsureFloat64';\n/**\n * Determine noise level by san plot methodology (https://doi.org/10.1002/mrc.4882)\n * @param array - real or magnitude spectra data.\n * @param options - options\n * @returns noise level\n */\nexport function xNoiseSanPlot(array, options = {}) {\n    const { mask, cutOff, refine = true, magnitudeMode = false, scaleFactor = 1, factorStd = 5, fixOffset = true, } = options;\n    const input = prepareData(array, { scaleFactor, mask });\n    if (fixOffset && !magnitudeMode) {\n        const medianIndex = Math.floor(input.length / 2);\n        const median = input.length % 2 === 0\n            ? 0.5 * (input[medianIndex - 1] + input[medianIndex])\n            : input[medianIndex];\n        for (let i = 0; i < input.length; i++) {\n            input[i] -= median;\n        }\n    }\n    const firstNegativeValueIndex = input.at(-1) >= 0\n        ? input.length\n        : input.findIndex((e) => e < 0);\n    let lastPositiveValueIndex = firstNegativeValueIndex - 1;\n    for (let i = lastPositiveValueIndex; i >= 0; i--) {\n        if (input[i] > 0) {\n            lastPositiveValueIndex = i;\n            break;\n        }\n    }\n    const signPositive = input.slice(0, lastPositiveValueIndex + 1);\n    const signNegative = input.slice(firstNegativeValueIndex);\n    const cutOffDist = cutOff || determineCutOff(signPositive, { magnitudeMode });\n    const pIndex = Math.floor(signPositive.length * cutOffDist);\n    const initialNoiseLevelPositive = signPositive[pIndex];\n    const skyPoint = signPositive[0];\n    let initialNoiseLevelNegative;\n    if (signNegative.length > 0) {\n        const nIndex = Math.floor(signNegative.length * (1 - cutOffDist));\n        initialNoiseLevelNegative = -1 * signNegative[nIndex];\n    }\n    else {\n        initialNoiseLevelNegative = 0;\n    }\n    let noiseLevelPositive = initialNoiseLevelPositive;\n    let noiseLevelNegative = initialNoiseLevelNegative;\n    let cloneSignPositive = signPositive.slice();\n    let cloneSignNegative = signNegative.slice();\n    let cutOffSignalsIndexPlus = 0;\n    let cutOffSignalsIndexNeg = 2;\n    if (refine) {\n        let cutOffSignals = noiseLevelPositive * factorStd;\n        cutOffSignalsIndexPlus = signPositive.findIndex((e) => e < cutOffSignals);\n        if (cutOffSignalsIndexPlus > -1) {\n            cloneSignPositive = signPositive.slice(cutOffSignalsIndexPlus);\n            noiseLevelPositive =\n                cloneSignPositive[Math.floor(cloneSignPositive.length * cutOffDist)];\n        }\n        cutOffSignals = noiseLevelNegative * factorStd;\n        cutOffSignalsIndexNeg = signNegative.findIndex((e) => e < cutOffSignals);\n        if (cutOffSignalsIndexNeg > -1) {\n            cloneSignNegative = signNegative.slice(cutOffSignalsIndexNeg);\n            noiseLevelNegative =\n                cloneSignPositive[Math.floor(cloneSignNegative.length * (1 - cutOffDist))];\n        }\n    }\n    const correctionFactor = -simpleNormInvNumber(cutOffDist / 2, {\n        magnitudeMode,\n    });\n    let effectiveCutOffDist, refinedCorrectionFactor;\n    if (refine && cutOffSignalsIndexPlus > -1) {\n        effectiveCutOffDist =\n            (cutOffDist * cloneSignPositive.length + cutOffSignalsIndexPlus) /\n                (cloneSignPositive.length + cutOffSignalsIndexPlus);\n        refinedCorrectionFactor =\n            -1 * simpleNormInvNumber(effectiveCutOffDist / 2, { magnitudeMode });\n        noiseLevelPositive /= refinedCorrectionFactor;\n        if (cutOffSignalsIndexNeg > -1) {\n            effectiveCutOffDist =\n                (cutOffDist * cloneSignNegative.length + cutOffSignalsIndexNeg) /\n                    (cloneSignNegative.length + cutOffSignalsIndexNeg);\n            refinedCorrectionFactor =\n                -1 * simpleNormInvNumber(effectiveCutOffDist / 2, { magnitudeMode });\n            if (noiseLevelNegative !== 0) {\n                noiseLevelNegative /= refinedCorrectionFactor;\n            }\n        }\n    }\n    else {\n        noiseLevelPositive /= correctionFactor;\n        noiseLevelNegative /= correctionFactor;\n    }\n    return {\n        positive: noiseLevelPositive,\n        negative: noiseLevelNegative,\n        snr: skyPoint / noiseLevelPositive,\n        sanplot: generateSanPlot(input, {\n            fromTo: {\n                positive: { from: 0, to: lastPositiveValueIndex },\n                negative: { from: firstNegativeValueIndex, to: input.length },\n            },\n        }),\n    };\n}\n/**\n * Determines the optimal cut-off point for a given array of positive numbers.\n * @param signPositive - An array of positive numbers.\n * @param options - Optional parameters to configure the cut-off determination.\n * @param options.magnitudeMode - If true, uses magnitude mode for normalization. Default is false.\n * @param options.considerList - An object specifying the range and step for consideration.\n * @param options.considerList.from - The starting point of the range. Default is 0.5.\n * @param options.considerList.step - The step size for the range. Default is 0.1.\n * @param options.considerList.to - The ending point of the range. Default is 0.9.\n * @returns The optimal cut-off point as a number.\n */\nfunction determineCutOff(signPositive, options = {}) {\n    const { magnitudeMode = false, considerList = { from: 0.5, step: 0.1, to: 0.9 }, } = options;\n    //generate a list of values for\n    const cutOff = [];\n    const indexMax = signPositive.length - 1;\n    for (let i = 0.01; i <= 0.99; i += 0.01) {\n        const index = Math.round(indexMax * i);\n        const value = -signPositive[index] / simpleNormInvNumber(i / 2, { magnitudeMode });\n        cutOff.push([i, value]);\n    }\n    let minKi = Number.MAX_SAFE_INTEGER;\n    const { from, to, step } = considerList;\n    const delta = step / 2;\n    let whereToCutStat = 0.5;\n    for (let i = from; i <= to; i += step) {\n        const floor = i - delta;\n        const top = i + delta;\n        const elementsOfCutOff = cutOff.filter((e) => e[0] < top && e[0] > floor);\n        let averageValue = 0;\n        for (const element of elementsOfCutOff) {\n            averageValue += Math.abs(element[1]);\n        }\n        let kiSqrt = 0;\n        for (const element of elementsOfCutOff) {\n            kiSqrt += (element[1] - averageValue) ** 2;\n        }\n        if (kiSqrt < minKi) {\n            minKi = kiSqrt;\n            whereToCutStat = i;\n        }\n    }\n    return whereToCutStat;\n}\n/**\n * Generates a SAN plot from the given array based on the specified options.\n * @param array - The input array of numbers to be processed.\n * @param options - An optional object containing configuration options.\n * @param options.logBaseY - The logarithmic base for the Y-axis. Defaults to 2.\n * @param options.fromTo - An object specifying the range for each key. Each key maps to an object with `from` and `to` properties.\n * @returns An object where each key maps to a DataXY object containing the processed data.\n */\nfunction generateSanPlot(array, options = {}) {\n    const { fromTo, logBaseY = 2 } = options;\n    const sanplot = {};\n    for (const key in fromTo) {\n        const { from, to } = fromTo[key];\n        sanplot[key] =\n            from !== to\n                ? scale(array.slice(from, to), {\n                    logBaseY,\n                })\n                : { x: [], y: [] };\n        if (key === 'negative') {\n            sanplot[key].y.reverse();\n        }\n    }\n    return sanplot;\n}\n/**\n * Scales the input array based on the provided options.\n * @param array - The input array to be scaled.\n * @param options - An optional object containing scaling options.\n * @param options.logBaseY - If provided, the array values will be scaled using the logarithm of this base.\n * @returns An object containing the scaled x and y arrays.\n */\nfunction scale(array, options = {}) {\n    const { log10, abs } = Math;\n    const { logBaseY } = options;\n    if (logBaseY) {\n        array = array.slice(0);\n        const logOfBase = log10(logBaseY);\n        for (let i = 0; i < array.length; i++) {\n            array[i] = log10(abs(array[i])) / logOfBase;\n        }\n    }\n    const xAxis = createFromToArray({\n        from: 0,\n        to: array.length - 1,\n        length: array.length,\n    });\n    return { x: xAxis, y: array };\n}\n/**\n * Prepares and processes the input data array based on the provided options.\n * @param array - The input array of numbers to be processed.\n * @param options - An object containing the following properties:\n *   - scaleFactor: A number by which to scale each element of the array.\n *   - mask: An optional array of the same length as the input array, where\n *           elements corresponding to `true` values will be excluded from processing.\n * @param options.scaleFactor\n * @param options.mask\n * @returns A new Float64Array containing the processed data, scaled by the\n *          scaleFactor and sorted in descending order.\n */\nfunction prepareData(array, options) {\n    const { scaleFactor, mask } = options;\n    const input = xEnsureFloat64(isAnyArray(mask) && mask.length === array.length\n        ? array.filter((_e, i) => !mask[i])\n        : array);\n    if (scaleFactor > 1) {\n        for (let i = 0; i < input.length; i++) {\n            input[i] *= scaleFactor;\n        }\n    }\n    return input.sort().reverse();\n}\n//# sourceMappingURL=xNoiseSanPlot.js.map","import { xMedianAbsoluteDeviation } from './xMedianAbsoluteDeviation';\n/**\n * Determine noise level using MAD https://en.wikipedia.org/wiki/Median_absolute_deviation\n * Constant to convert mad to sd calculated using https://www.wolframalpha.com/input?i=sqrt%282%29+inverse+erf%280.5%29\n * This assumes a gaussian distribution of the noise\n * @param array\n * @returns noise level corresponding to one standard deviation\n */\nexport function xNoiseStandardDeviation(array) {\n    const { mad, median } = xMedianAbsoluteDeviation(array);\n    return { sd: mad / 0.6744897501960817, mad, median };\n}\n//# sourceMappingURL=xNoiseStandardDeviation.js.map","/**\n * This function calculate the norm of a vector.\n * @example xNorm([3, 4]) -> 5\n * @param array - array\n * @returns - calculated norm\n */\nexport function xNorm(array) {\n    let result = 0;\n    for (const element of array) {\n        result += element ** 2;\n    }\n    return Math.sqrt(result);\n}\n//# sourceMappingURL=xNorm.js.map","import { xCheck } from './xCheck';\nimport { xGetFromToIndex } from './xGetFromToIndex';\n/**\n * Calculate the sum of the values\n * @param array - Object that contains property x (an ordered increasing array) and y (an array).\n * @param options - Options.\n * @returns XSum value on the specified range.\n */\nexport function xSum(array, options = {}) {\n    xCheck(array);\n    const { fromIndex, toIndex } = xGetFromToIndex(array, options);\n    let sumValue = array[fromIndex];\n    for (let i = fromIndex + 1; i <= toIndex; i++) {\n        sumValue += array[i];\n    }\n    return sumValue;\n}\n//# sourceMappingURL=xSum.js.map","import { getOutputArray } from './getOutputArray';\nimport { xCheck } from './xCheck';\nimport { xMaxValue } from './xMaxValue';\nimport { xSum } from './xSum';\n/**\n * Divides the data with either the sum, the absolute sum or the maximum of the data\n * @param input - Array containing values\n * @param options - options\n * @returns - normalized data\n */\nexport function xNormed(input, options = {}) {\n    const { algorithm = 'absolute', value = 1 } = options;\n    xCheck(input);\n    const output = getOutputArray(options.output, input.length);\n    if (input.length === 0) {\n        throw new Error('input must not be empty');\n    }\n    switch (algorithm) {\n        case 'absolute': {\n            const absoluteSumValue = absoluteSum(input) / value;\n            if (absoluteSumValue === 0) {\n                throw new Error('trying to divide by 0');\n            }\n            for (let i = 0; i < input.length; i++) {\n                output[i] = input[i] / absoluteSumValue;\n            }\n            return output;\n        }\n        case 'max': {\n            const currentMaxValue = xMaxValue(input);\n            if (currentMaxValue === 0) {\n                throw new Error('trying to divide by 0');\n            }\n            const factor = value / currentMaxValue;\n            for (let i = 0; i < input.length; i++) {\n                output[i] = input[i] * factor;\n            }\n            return output;\n        }\n        case 'sum': {\n            const sumFactor = xSum(input) / value;\n            if (sumFactor === 0) {\n                throw new Error('trying to divide by 0');\n            }\n            for (let i = 0; i < input.length; i++) {\n                output[i] = input[i] / sumFactor;\n            }\n            return output;\n        }\n        default:\n            throw new Error(`unknown algorithm: ${String(algorithm)}`);\n    }\n}\nfunction absoluteSum(input) {\n    let sumValue = 0;\n    for (let i = 0; i < input.length; i++) {\n        sumValue += Math.abs(input[i]);\n    }\n    return sumValue;\n}\n//# sourceMappingURL=xNormed.js.map","import { xCheck } from './xCheck';\nimport { xEnsureFloat64 } from './xEnsureFloat64';\n/**\n * This function pads an array\n *s\n * @param array - the array that will be padded\n * @param options - options\n */\nexport function xPadding(array, options = {}) {\n    const { size = 0, value = 0, algorithm } = options;\n    xCheck(array);\n    if (!algorithm) {\n        return xEnsureFloat64(array);\n    }\n    const result = new Float64Array(array.length + size * 2);\n    for (let i = 0; i < array.length; i++) {\n        result[i + size] = array[i];\n    }\n    const fromEnd = size + array.length;\n    const toEnd = 2 * size + array.length;\n    switch (algorithm) {\n        case 'value':\n            for (let i = 0; i < size; i++) {\n                result[i] = value;\n            }\n            for (let i = fromEnd; i < toEnd; i++) {\n                result[i] = value;\n            }\n            break;\n        case 'duplicate':\n            for (let i = 0; i < size; i++) {\n                result[i] = array[0];\n            }\n            for (let i = fromEnd; i < toEnd; i++) {\n                result[i] = array.at(-1);\n            }\n            break;\n        case 'circular':\n            for (let i = 0; i < size; i++) {\n                result[i] =\n                    array[(array.length - (size % array.length) + i) % array.length];\n            }\n            for (let i = 0; i < size; i++) {\n                result[i + fromEnd] = array[i % array.length];\n            }\n            break;\n        default:\n            throw new Error(`unknown algorithm ${String(algorithm)}`);\n    }\n    return result;\n}\n//# sourceMappingURL=xPadding.js.map","import { xCheck } from './xCheck';\nimport { xStandardDeviation } from './xStandardDeviation';\n/**\n * Pareto scaling, which uses the square root of standard deviation as the scaling factor, circumvents the amplification of noise by retaining a small portion of magnitude information.\n * Noda, I. (2008). Scaling techniques to enhance two-dimensional correlation spectra. Journal of Molecular Structure, 883, 216-227.\n * DOI: 10.1016/j.molstruc.2007.12.026\n * @param array - array of number\n */\nexport function xParetoNormalization(array) {\n    xCheck(array);\n    const result = new Float64Array(array.length);\n    const sqrtSD = Math.sqrt(xStandardDeviation(array));\n    for (let i = 0; i < array.length; i++) {\n        result[i] = array[i] / sqrtSD;\n    }\n    return result;\n}\n//# sourceMappingURL=xParetoNormalization.js.map","import { xBoxPlotWithOutliers } from './xBoxPlotWithOutliers';\nimport { xMean } from './xMean';\nimport { xStandardDeviation } from './xStandardDeviation';\n/**\n * Calculate distribution statistics of an array without providing options. Statistics\n * like sd and mean are calculated after removing outliers.\n * This ensure that the statistics are calculated in the same way in all the packages\n * If the array is empty it will throw an error\n * If the array has a length of 1, sd will be NaN (unbiased calculation of sd)\n * @param array - data\n * @param options\n * @returns - q1, median, q3, min, max\n */\nexport function xRobustDistributionStats(array) {\n    const boxPlot = xBoxPlotWithOutliers(array);\n    let filteredArray;\n    if (boxPlot.outliers.length === 0) {\n        filteredArray = array;\n    }\n    else {\n        filteredArray = new Float64Array(array.length - boxPlot.outliers.length);\n        let j = 0;\n        for (const element of array) {\n            if (element >= boxPlot.min && element <= boxPlot.max) {\n                filteredArray[j++] = element;\n            }\n        }\n    }\n    return {\n        ...boxPlot,\n        mean: xMean(filteredArray),\n        sd: xStandardDeviation(filteredArray),\n        nb: filteredArray.length,\n    };\n}\n//# sourceMappingURL=xRobustDistributionStats.js.map","import { isAnyArray } from 'is-any-array';\nimport { xBoxPlot } from './xBoxPlot';\n/**\n * Remove the outliers from the array\n * Based on 1.5 IQR\n * @param array - data\n * @returns - trimmed data\n */\nexport function xRemoveOutliersIQR(array) {\n    if (!isAnyArray(array)) {\n        throw new TypeError('input must be an array');\n    }\n    if (array.length === 0) {\n        return array;\n    }\n    const boxPlot = xBoxPlot(array);\n    const iqr = boxPlot.q3 - boxPlot.q1;\n    const lowerWhisker = boxPlot.q1 - 1.5 * iqr;\n    const higherWhisker = boxPlot.q3 + 1.5 * iqr;\n    if (boxPlot.min >= lowerWhisker && boxPlot.max <= higherWhisker) {\n        return array;\n    }\n    const filteredArray = [];\n    for (const element of array) {\n        if (element >= lowerWhisker && element <= higherWhisker) {\n            filteredArray.push(element);\n        }\n    }\n    return filteredArray;\n}\n//# sourceMappingURL=xRemoveOutliersIQR.js.map","import { getOutputArray } from './getOutputArray';\nimport { xCheck } from './xCheck';\nimport { xMaxValue } from './xMaxValue';\nimport { xMinValue } from './xMinValue';\n/**\n * Function used to rescale data\n * @param input - input for the rescale\n * @param options - options\n * @returns rescaled data\n */\nexport function xRescale(input, options = {}) {\n    xCheck(input);\n    const output = getOutputArray(options.output, input.length);\n    const currentMin = xMinValue(input);\n    const currentMax = xMaxValue(input);\n    if (currentMin === currentMax) {\n        throw new RangeError('minimum and maximum input values are equal. Cannot rescale a constant array');\n    }\n    const { min = 0, max = 1 } = options;\n    if (min >= max) {\n        throw new RangeError('min option must be smaller than max option');\n    }\n    const factor = (max - min) / (currentMax - currentMin);\n    for (let i = 0; i < input.length; i++) {\n        output[i] = (input[i] - currentMin) * factor + min;\n    }\n    return output;\n}\n//# sourceMappingURL=xRescale.js.map","import { xCheck } from './xCheck';\nimport { xPadding } from './xPadding';\n/**\n * This function calculates a rolling average\n * @param array - array\n * @param fct - callback function that from an array returns a value\n * @param options - options\n */\nexport function xRolling(array, fct, options = {}) {\n    xCheck(array);\n    if (typeof fct !== 'function') {\n        throw new TypeError('fct must be a function');\n    }\n    const { window = 5, padding = {} } = options;\n    const { size = window - 1, algorithm, value } = padding;\n    const padded = xPadding(array, { size, algorithm, value }); // ensure we get a copy and it is float64\n    const newArray = [];\n    for (let i = 0; i < padded.length - window + 1; i++) {\n        // we will send a view to the original buffer\n        newArray.push(fct(padded.subarray(i, i + window)));\n    }\n    return newArray;\n}\n//# sourceMappingURL=xRolling.js.map","import { xMean } from './xMean';\nimport { xRolling } from './xRolling';\n/**\n * This function calculates a rolling average\n * @param array - array\n * @param options - option\n */\nexport function xRollingAverage(array, options = {}) {\n    return xRolling(array, xMean, options);\n}\n//# sourceMappingURL=xRollingAverage.js.map","import { xMaxValue } from './xMaxValue';\nimport { xRolling } from './xRolling';\n/**\n * This function calculates a maximum within a rolling window\n * @param array - array\n * @param options - options\n */\nexport function xRollingMax(array, options = {}) {\n    return xRolling(array, xMaxValue, options);\n}\n//# sourceMappingURL=xRollingMax.js.map","import { xMedian } from './xMedian';\nimport { xRolling } from './xRolling';\n/**\n * This function calculates a rolling average\n * @param array - array\n * @param options - options\n */\nexport function xRollingMedian(array, options = {}) {\n    return xRolling(array, xMedian, options);\n}\n//# sourceMappingURL=xRollingMedian.js.map","import { xMinValue } from './xMinValue';\nimport { xRolling } from './xRolling';\n/**\n * This function calculates a minimum within a rolling window\n * @param array - array\n * @param options - options\n */\nexport function xRollingMin(array, options = {}) {\n    return xRolling(array, xMinValue, options);\n}\n//# sourceMappingURL=xRollingMin.js.map","/**\n * This function performs a circular shift to an array.\n * Positive values of shifts will shift to the right and negative values will do to the left.\n * @example xRotate([1,2,3,4],1) -> [4,1,2,3]\n * @example xRotate([1,2,3,4],-1) -> [2,3,4,1]\n * @param array - array\n * @param shift - shift\n * @returns - rotated array\n */\nexport function xRotate(array, shift) {\n    shift = shift % array.length;\n    if (shift < 0)\n        shift += array.length;\n    const result = new Float64Array(array.length);\n    result.set(array.slice(array.length - shift));\n    result.set(array.slice(0, array.length - shift), shift);\n    return result;\n}\n//# sourceMappingURL=xRotate.js.map","import { xCheck } from './xCheck';\n/**\n * Sample within the array\n * @param array - array from which to sample\n * @param options - options\n * @returns - array with evenly spaced elements\n * @link https://en.wikipedia.org/wiki/Sampling_(signal_processing)\n */\nexport function xSampling(array, options = {}) {\n    const { length = 10 } = options;\n    xCheck(array);\n    if (length === array.length) {\n        return Float64Array.from(array);\n    }\n    else if (length > array.length) {\n        throw new RangeError('length must be smaller than the array length');\n    }\n    else {\n        return downSampling(array, length);\n    }\n}\n/**\n * Downsample within the array\n * @param array - array from which to sample\n * @param length\n * @returns - array with evenly spaced elements\n * @link https://en.wikipedia.org/wiki/Downsampling_(signal_processing)\n */\nfunction downSampling(array, length) {\n    const returnArray = new Float64Array(length);\n    const delta = (array.length - 1) / (length - 1);\n    for (let i = 0; i < length; i++) {\n        returnArray[i] = array[Math.round(i * delta)];\n    }\n    return returnArray;\n}\n//# sourceMappingURL=xSampling.js.map","import { createNumberArray } from '../utils';\nexport function xSequentialFillFromStep(parameters, options = {}) {\n    const { from, step, size } = parameters;\n    const { ArrayConstructor = Float64Array } = options;\n    const result = createNumberArray(ArrayConstructor, size);\n    for (let i = 0; i < size; i++) {\n        result[i] = from + i * step;\n    }\n    return result;\n}\n//# sourceMappingURL=xSequentialFillFromStep.js.map","import { xSequentialFillFromStep } from './xSequentialFillFromStep';\nexport function xSequentialFillFromTo(parameters, options = {}) {\n    const { from, to, size } = parameters;\n    const step = (to - from) / (size - 1);\n    return xSequentialFillFromStep({ from, step, size }, options);\n}\n//# sourceMappingURL=xSequentialFillFromTo.js.map","/**\n * Function that sorts arrays or Float64Arrays in ascending order in place !\n * This method is optimized for typed arrays.\n * @param array - array to sort\n * @returns sorted array\n */\nexport function xSortAscending(array) {\n    if (ArrayBuffer.isView(array)) {\n        return array.sort();\n    }\n    else if (Array.isArray(array)) {\n        return array.sort((a, b) => a - b);\n    }\n    throw new Error('trying to sort non array');\n}\n//# sourceMappingURL=xSortAscending.js.map","/**\n * Function that sorts arrays or Float64Arrays in descending order\n * @param array - array to sort\n * @returns sorted array\n */\nexport function xSortDescending(array) {\n    if (ArrayBuffer.isView(array)) {\n        return array.sort().reverse();\n    }\n    else if (Array.isArray(array)) {\n        return array.sort((a, b) => b - a);\n    }\n    throw new Error('trying to sort non array');\n}\n//# sourceMappingURL=xSortDescending.js.map","/**\n * XUniqueSorted.\n * @param array - array of numbers\n * @returns - sorted array\n */\nexport function xUniqueSorted(array) {\n    return Float64Array.from(new Set(array)).sort();\n}\n//# sourceMappingURL=xUniqueSorted.js.map","/*\nThe MIT License (MIT)\n\nCopyright (c) 2013 Eric Arnebäck\n\nPermission is hereby granted, free of charge, to any person obtaining a copy\nof this software and associated documentation files (the \"Software\"), to deal\nin the Software without restriction, including without limitation the rights\nto use, copy, modify, merge, publish, distribute, sublicense, and/or sell\ncopies of the Software, and to permit persons to whom the Software is\nfurnished to do so, subject to the following conditions:\n\nThe above copyright notice and this permission notice shall be included in\nall copies or substantial portions of the Software.\n\nTHE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\nIMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\nFITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE\nAUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\nLIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,\nOUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN\nTHE SOFTWARE.\n*/\n/**\n * Solves a system of linear equations using the Cholesky decomposition method.\n * It is a direct conversion to TS from {@link https://github.com/scijs/cholesky-solve}\n * @param nonZerosArray - The matrix in triplet form (array of arrays), where each sub-array contains three elements: row index, column index, and value.\n * @param dimension - The order of the matrix (number of rows/columns).\n * @param permutationEncoded - Optional permutation array. If provided, it will be used to permute the matrix.\n * @returns A function that takes a right-hand side vector `b` and returns the solution vector `x`, or `null` if the decomposition fails.\n */\nexport function matrixCholeskySolver(nonZerosArray, dimension, permutationEncoded) {\n    if (permutationEncoded) {\n        const pinv = new Array(dimension);\n        for (let k = 0; k < dimension; k++) {\n            pinv[permutationEncoded[k]] = k;\n        }\n        const mt = new Array(nonZerosArray.length);\n        for (let a = 0; a < nonZerosArray.length; ++a) {\n            const [r, c, value] = nonZerosArray[a];\n            const [ar, ac] = [pinv[r], pinv[c]];\n            mt[a] = ac < ar ? [ac, ar, value] : [ar, ac, value];\n        }\n        nonZerosArray = mt;\n    }\n    else {\n        permutationEncoded = [];\n        for (let i = 0; i < dimension; ++i) {\n            permutationEncoded[i] = i;\n        }\n    }\n    const ap = new Array(dimension + 1);\n    const ai = new Array(nonZerosArray.length);\n    const ax = new Array(nonZerosArray.length);\n    const lnz = [];\n    for (let i = 0; i < dimension; ++i) {\n        lnz[i] = 0;\n    }\n    for (const a of nonZerosArray) {\n        lnz[a[1]]++;\n    }\n    ap[0] = 0;\n    for (let i = 0; i < dimension; ++i) {\n        ap[i + 1] = ap[i] + lnz[i];\n    }\n    const colOffset = [];\n    for (let a = 0; a < dimension; ++a) {\n        colOffset[a] = 0;\n    }\n    for (const e of nonZerosArray) {\n        const col = e[1];\n        const adr = ap[col] + colOffset[col];\n        ai[adr] = e[0];\n        ax[adr] = e[2];\n        colOffset[col]++;\n    }\n    const d = new Array(dimension);\n    const y = new Array(dimension);\n    const lp = new Array(dimension + 1);\n    const parent = new Array(dimension);\n    const lnzArray = new Array(dimension);\n    const flag = new Array(dimension);\n    const pattern = new Array(dimension);\n    const bp1 = new Array(dimension);\n    const x = new Array(dimension);\n    ldlSymbolic(dimension, ap, ai, lp, parent, lnzArray, flag);\n    const lx = new Array(lp[dimension]);\n    const li = new Array(lp[dimension]);\n    const result = ldlNumeric(dimension, ap, ai, ax, lp, parent, lnzArray, li, lx, d, y, pattern, flag);\n    if (result === dimension) {\n        return (b) => {\n            ldlPerm(dimension, bp1, b, permutationEncoded);\n            ldlLsolve(dimension, bp1, lp, li, lx);\n            ldlDsolve(dimension, bp1, d);\n            ldlLTsolve(dimension, bp1, lp, li, lx);\n            ldlPermt(dimension, x, bp1, permutationEncoded);\n            return x;\n        };\n    }\n    else {\n        return null;\n    }\n}\nfunction ldlSymbolic(dimension, ap, ai, lp, parent, lnz, flag) {\n    for (let k = 0; k < dimension; k++) {\n        parent[k] = -1;\n        flag[k] = k;\n        lnz[k] = 0;\n        const kk = k;\n        const p2 = ap[kk + 1];\n        for (let permutationEncoded = ap[kk]; permutationEncoded < p2; permutationEncoded++) {\n            let i = ai[permutationEncoded];\n            if (i < k) {\n                for (; flag[i] !== k; i = parent[i]) {\n                    if (parent[i] === -1)\n                        parent[i] = k;\n                    lnz[i]++;\n                    flag[i] = k;\n                }\n            }\n        }\n    }\n    lp[0] = 0;\n    for (let k = 0; k < dimension; k++) {\n        lp[k + 1] = lp[k] + lnz[k];\n    }\n}\nfunction ldlNumeric(dimension, ap, ai, ax, lp, parent, lnz, li, lx, d, y, pattern, flag) {\n    let yi, lKi;\n    let i, k, permutationEncoded, kk, p2, len, top;\n    for (k = 0; k < dimension; k++) {\n        y[k] = 0;\n        top = dimension;\n        flag[k] = k;\n        lnz[k] = 0;\n        kk = k;\n        p2 = ap[kk + 1];\n        for (permutationEncoded = ap[kk]; permutationEncoded < p2; permutationEncoded++) {\n            i = ai[permutationEncoded];\n            if (i <= k) {\n                y[i] += ax[permutationEncoded];\n                for (len = 0; flag[i] !== k; i = parent[i]) {\n                    pattern[len++] = i;\n                    flag[i] = k;\n                }\n                while (len > 0)\n                    pattern[--top] = pattern[--len];\n            }\n        }\n        d[k] = y[k];\n        y[k] = 0;\n        for (; top < dimension; top++) {\n            i = pattern[top];\n            yi = y[i];\n            y[i] = 0;\n            p2 = lp[i] + lnz[i];\n            for (permutationEncoded = lp[i]; permutationEncoded < p2; permutationEncoded++) {\n                y[li[permutationEncoded]] -= lx[permutationEncoded] * yi;\n            }\n            lKi = yi / d[i];\n            d[k] -= lKi * yi;\n            li[permutationEncoded] = k;\n            lx[permutationEncoded] = lKi;\n            lnz[i]++;\n        }\n        if (d[k] === 0)\n            return k;\n    }\n    return dimension;\n}\nfunction ldlLsolve(dimension, x, lp, li, lx) {\n    let j, permutationEncoded, p2;\n    for (j = 0; j < dimension; j++) {\n        p2 = lp[j + 1];\n        for (permutationEncoded = lp[j]; permutationEncoded < p2; permutationEncoded++) {\n            x[li[permutationEncoded]] -= lx[permutationEncoded] * x[j];\n        }\n    }\n}\nfunction ldlDsolve(dimension, x, d) {\n    for (let j = 0; j < dimension; j++) {\n        x[j] /= d[j];\n    }\n}\nfunction ldlLTsolve(dimension, x, lp, li, lx) {\n    let j, permutationEncoded, p2;\n    for (j = dimension - 1; j >= 0; j--) {\n        p2 = lp[j + 1];\n        for (permutationEncoded = lp[j]; permutationEncoded < p2; permutationEncoded++) {\n            x[j] -= lx[permutationEncoded] * x[li[permutationEncoded]];\n        }\n    }\n}\nfunction ldlPerm(dimension, x, b, permutationEncoded) {\n    let j;\n    for (j = 0; j < dimension; j++) {\n        x[j] = b[permutationEncoded[j]];\n    }\n}\nfunction ldlPermt(dimension, x, b, permutationEncoded) {\n    let j;\n    for (j = 0; j < dimension; j++) {\n        x[permutationEncoded[j]] = b[j];\n    }\n}\n//# sourceMappingURL=matrixCholeskySolver.js.map","/**\n * add the provided weights to a particular given system matrix (lD'D) in the triplet form and y data. This function is not general\n * it assumes that diagonal coefficients are in the even indexes, it is the case of the matrix generated by createSystemMatrix function.\n * It simulates the matrix operation W + lD'D and Wy.\n * @param leftHandSide - The original system matrix to be updated, a lower triangular non-zeros of the system matrix (lambda D'D).\n * @param rightHandSide - The original vector to be updated.\n * @param weights - The weights to apply to the system matrix and vector.\n * @returns An object that contains the news left and right hand-side of the system.\n */\nexport function addWeights(leftHandSide, rightHandSide, weights) {\n    const nbPoints = rightHandSide.length;\n    const l = nbPoints - 1;\n    const newLeftHandSide = new Array(leftHandSide.length);\n    const newRightHandSide = new Float64Array(nbPoints);\n    for (let i = 0; i < l; i++) {\n        const w = weights[i];\n        const diag = i * 2;\n        const next = diag + 1;\n        newLeftHandSide[diag] = leftHandSide[diag].slice();\n        newLeftHandSide[next] = leftHandSide[next].slice();\n        newRightHandSide[i] = rightHandSide[i] * w;\n        newLeftHandSide[diag][2] += w;\n    }\n    newRightHandSide[l] = rightHandSide[l] * weights[l];\n    newLeftHandSide[l * 2] = leftHandSide[l * 2].slice();\n    newLeftHandSide[l * 2][2] += weights[l];\n    return {\n        leftHandSide: newLeftHandSide,\n        rightHandSide: newRightHandSide,\n    };\n}\n//# sourceMappingURL=addWeights.js.map","/**\n * Generates a lower triangular non-zeros of the first order smoother matrix (lambda D'D) where D is the derivate of the identity matrix\n * this function in combination with addWeights function can obtain (Q = W + lambda D'D) a penalized least square of Whitaker smoother,\n * it also generates a permutation encoded array.\n * @param dimension - The number of points in the matrix.\n * @param lambda - The factor of smoothness .\n * @returns An object containing the lower triangular non-zero elements of the matrix\n * and the permutation encoded array.\n * @property lowerTriangularNonZeros - The lower triangular non-zero elements of the matrix in triplet form.\n * @property permutationEncodedArray - The permutation encoded array generated using the Cuthill-McKee algorithm.\n */\nexport function createSystemMatrix(dimension, lambda) {\n    const upperTriangularNonZeros = [];\n    const last = dimension - 1;\n    for (let i = 0; i < last; i++) {\n        upperTriangularNonZeros.push([i, i, lambda * 2], [i, i + 1, -1 * lambda]);\n    }\n    upperTriangularNonZeros[0][2] = lambda;\n    upperTriangularNonZeros.push([last, last, lambda]);\n    return upperTriangularNonZeros;\n}\n//# sourceMappingURL=createSystemMatrix.js.map","import { matrixCholeskySolver } from '../matrix/matrixCholeskySolver';\nimport { addWeights } from '../utils/addWeights';\nimport { calculateAdaptiveWeights } from '../utils/calculateAdaptiveWeights';\nimport { createSystemMatrix } from '../utils/createSystemMatrix';\nimport { xEnsureFloat64 } from './xEnsureFloat64';\nimport { xMultiply } from './xMultiply';\n/**\n * Computes the baseline points for the given data using an iterative smoothing algorithm.\n * @param yData - The input data array.\n * @param options - The options for baseline computation.\n * @returns - The computed baseline points.\n */\nexport function xWhitakerSmoother(yData, options = {}) {\n    const { lambda = 100, maxIterations = 100, tolerance = 1e-6, factorStd = 3, learningRate = 0.5, minWeight = 0.01, } = options;\n    const size = yData.length;\n    // eslint-disable-next-line prefer-const\n    let { controlPoints, weights } = getWeightsAndControlPoints(yData, options);\n    const prevBaseline = new Float64Array(size);\n    let iteration = 0;\n    let delta = Infinity;\n    let baseline = yData.slice();\n    const upperTriangularNonZeros = createSystemMatrix(size, lambda);\n    while (iteration < maxIterations && delta > tolerance) {\n        const { leftHandSide, rightHandSide } = addWeights(upperTriangularNonZeros, yData, weights);\n        const cho = matrixCholeskySolver(leftHandSide, size);\n        if (!cho) {\n            return baseline;\n        }\n        const newBaseline = cho(rightHandSide);\n        weights = calculateAdaptiveWeights(yData, newBaseline, weights, {\n            controlPoints,\n            minWeight,\n            learningRate,\n            factorStd,\n        });\n        delta = calculateDelta(newBaseline, prevBaseline, size);\n        prevBaseline.set(newBaseline);\n        baseline = xEnsureFloat64(newBaseline);\n        iteration++;\n    }\n    return baseline;\n}\n/**\n * Calculates the delta between the current and previous baseline.\n * @param baseline - The current baseline array.\n * @param prevBaseline - The previous baseline array.\n * @param n - The length of the arrays.\n * @returns - The calculated delta value.\n */\nfunction calculateDelta(baseline, prevBaseline, n) {\n    let sum = 0;\n    for (let i = 0; i < n; i++) {\n        sum += (baseline[i] - prevBaseline[i]) ** 2;\n    }\n    return Math.sqrt(sum / n);\n}\n/**\n * Retrieves the control points and weights for the given data, the weights are modified multiplication of controlPoints if it exists.\n * @param  y - The input data array.\n * @param  options - The options for control points and weights.\n * @returns - The control points and modified weights.\n */\nfunction getWeightsAndControlPoints(y, options = {}) {\n    const { length } = y;\n    const { controlPoints } = options;\n    const { weights = Float64Array.from({ length }).fill(1) } = options;\n    if (controlPoints && controlPoints.length !== y.length) {\n        throw new RangeError('controlPoints should match the length with X');\n    }\n    else if (weights.length !== y.length) {\n        throw new RangeError('weights should match the length with X');\n    }\n    return {\n        weights: controlPoints ? xMultiply(weights, controlPoints) : weights,\n        controlPoints,\n    };\n}\n//# sourceMappingURL=xWhitakerSmoother.js.map","/**\n * Phase correction filter.\n * @param data - complex spectrum\n * @param phi0 - Angle in radians for zero order phase correction\n * @param phi1 - Angle in radians for first order phase correction\n * @param options\n * @returns - returns a new object {re:[], im:[]}\n */\nexport function reimPhaseCorrection(data, phi0 = 0, phi1 = 0, options = {}) {\n    const { reverse = false } = options;\n    phi0 = Number.isFinite(phi0) ? phi0 : 0;\n    phi1 = Number.isFinite(phi1) ? phi1 : 0;\n    const re = data.re;\n    const im = data.im;\n    const length = data.re.length;\n    let firstAngle = phi0;\n    let delta = phi1 / length;\n    if (reverse) {\n        delta *= -1;\n        firstAngle += phi1;\n    }\n    const alpha = 2 * Math.sin(delta / 2) ** 2;\n    const beta = Math.sin(delta);\n    let cosTheta = Math.cos(firstAngle);\n    let sinTheta = Math.sin(firstAngle);\n    const newRe = new Float64Array(length);\n    const newIm = new Float64Array(length);\n    for (let i = 0; i < length; i++) {\n        newRe[i] = re[i] * cosTheta - im[i] * sinTheta;\n        newIm[i] = im[i] * cosTheta + re[i] * sinTheta;\n        // calculate angles i+1 from i\n        const newCosTheta = cosTheta - (alpha * cosTheta + beta * sinTheta);\n        const newSinTheta = sinTheta - (alpha * sinTheta - beta * cosTheta);\n        cosTheta = newCosTheta;\n        sinTheta = newSinTheta;\n    }\n    return { re: newRe, im: newIm };\n}\n//# sourceMappingURL=reimPhaseCorrection.js.map","import { xNoiseSanPlot } from '../x';\nimport { reimAbsolute } from './reimAbsolute';\nimport { reimPhaseCorrection } from './reimPhaseCorrection';\n/**\n * Implementation of the algorithm for automatic phase correction: A robust, general automatic phase\n * correction algorithm for high-resolution NMR data. 10.1002/mrc.4586\n * @param data - complex spectrum\n * @param options - options\n */\nexport function reimAutoPhaseCorrection(data, options = {}) {\n    const { magnitudeMode = true, minRegSize = 30, factorNoise = 3, maxDistanceToJoin = 256, reverse = false, } = options;\n    const finalPeaks = detectBaselineRegions(data, {\n        maxDistanceToJoin,\n        magnitudeMode,\n        factorNoise,\n    });\n    const { re, im } = data;\n    const length = re.length;\n    const indexMask = reverse ? (i) => length - 1 - i : (i) => i;\n    let x0 = 0;\n    let counter = -1;\n    const res = [];\n    while (counter < length) {\n        const reTmp = [];\n        const imTmp = [];\n        while (!finalPeaks[indexMask(++counter)] && counter < length) {\n            // Add some extra points(0.1 ppm) at rigth and left sides of the region.\n            x0 = counter;\n        }\n        for (; finalPeaks[indexMask(counter)] && counter < length; counter += 2) {\n            reTmp.push(re[indexMask(counter)]);\n            imTmp.push(im[indexMask(counter)]);\n        }\n        if (reTmp.length > minRegSize) {\n            res.push(autoPhaseRegion(reTmp, imTmp, x0));\n        }\n    }\n    const { ph1, ph0 } = determiningGlobalValues(res.map((r) => r.x0 / length), res.map((r) => r.ph0), res.map((r) => r.area / 1e11));\n    const phased = reimPhaseCorrection({ re, im }, toRadians(ph0), toRadians(ph1), { reverse });\n    return { data: phased, ph0, ph1 };\n}\nfunction determiningGlobalValues(x, ph0Values, weights) {\n    if (x.length === 0) {\n        return { ph0: 0, ph1: 0 };\n    }\n    else if (x.length === 1) {\n        return { ph0: ph0Values[0], ph1: 0 };\n    }\n    const [ph1, ph0] = weightedLinearRegression(x, ph0Values, weights);\n    let indexMax = -1;\n    let maxDiff = Number.MIN_SAFE_INTEGER;\n    for (let i = 0; i < x.length; i++) {\n        const predictedPh0 = x[i] * ph1 + ph0;\n        const diff = Math.abs(ph0Values[i] - predictedPh0);\n        if (diff > 34 && maxDiff < diff) {\n            indexMax = i;\n            maxDiff = diff;\n        }\n    }\n    if (indexMax > -1) {\n        x.splice(indexMax, 1);\n        ph0Values.splice(indexMax, 1);\n        weights.splice(indexMax, 1);\n        return determiningGlobalValues(x, ph0Values, weights);\n    }\n    return { ph0, ph1 };\n}\nfunction detectBaselineRegions(data, options) {\n    const magnitudeData = options.magnitudeMode ? reimAbsolute(data) : data.re;\n    const ds = holoborodko(magnitudeData);\n    const peaksDs = robustBaseLineRegionsDetection(ds, options);\n    const peaksSp = robustBaseLineRegionsDetection(magnitudeData, options);\n    return peaksSp.map((sp, i) => sp && peaksDs[i]);\n}\n/**\n * AutoPhaseRegion.\n * @param re - Array of Number.\n * @param im - Array of Number.\n * @param x0 - Number.\n * @returns Region.\n */\nfunction autoPhaseRegion(re, im, x0) {\n    let start = -180;\n    let stop = 180;\n    const nSteps = 6;\n    let maxSteps = 10;\n    let bestAng = 0;\n    let minArea = Number.MAX_SAFE_INTEGER;\n    while (maxSteps > 0) {\n        const dAng = (stop - start) / (nSteps + 1);\n        for (let i = start; i <= stop; i += dAng) {\n            const tmpPhased = reimPhaseCorrection({ re, im }, toRadians(i), 0);\n            const negArea = getNegArea(tmpPhased.re);\n            if (negArea < minArea) {\n                [minArea, bestAng] = [negArea, i];\n            }\n        }\n        start = bestAng - dAng;\n        stop = bestAng + dAng;\n        maxSteps--;\n    }\n    // Calculate the area for the best angle\n    const phased = reimPhaseCorrection({ re, im }, toRadians(bestAng), 0);\n    let area = 0;\n    let sumX = 0;\n    for (let j = 0; j < re.length; j++) {\n        area += phased.re[j];\n        sumX += phased.re[j] * (j + x0);\n    }\n    return { ph0: bestAng, area, x0: sumX / area };\n}\n/**\n * Holoborodko.\n * @param s - Array of float.\n * @returns Array of float.\n */\nfunction holoborodko(s) {\n    const dk = new Float64Array(s.length);\n    for (let i = 5; i < s.length - 5; i++) {\n        dk[i] =\n            (42 * (s[i + 1] - s[i - 1]) +\n                48 * (s[i + 2] - s[i - 2]) +\n                27 * (s[i + 3] + s[i - 3]) +\n                8 * (s[i + 4] - s[i - 4]) +\n                s[i + 5] -\n                s[i - 5]) /\n                512;\n    }\n    //Fill the borders\n    for (let i = 0; i < 5; i++) {\n        dk[i] = dk[5];\n        dk[s.length - i - 1] = dk[s.length - 6];\n    }\n    return dk;\n}\n/**\n * RobustBaseLineRegionsDetection.\n * @param s\n * @param options\n * @param options.magnitudeMode\n * @param options.maxDistanceToJoin\n * @param options.factorNoise\n */\nfunction robustBaseLineRegionsDetection(s, options) {\n    const { maxDistanceToJoin, magnitudeMode, factorNoise } = options;\n    const mask = new Uint8Array(s.length);\n    for (let i = 0; i < s.length; i++) {\n        mask[i] = 0;\n    }\n    let change = true;\n    while (change) {\n        const noiseLevel = xNoiseSanPlot(s, { magnitudeMode });\n        const cutOff = factorNoise * noiseLevel.positive;\n        change = false;\n        for (let i = 0; i < s.length; i++) {\n            if (Math.abs(s[i]) > cutOff && !mask[i]) {\n                change = true;\n                mask[i] = 1;\n            }\n        }\n    }\n    // Clean up mask by merging peaks blocks, separated by just a few points(4??).\n    let count = 0;\n    let prev = 0;\n    for (let i = 0; i < s.length; i++) {\n        if (!mask[i]) {\n            count++;\n        }\n        else {\n            if (count < maxDistanceToJoin) {\n                for (let j = 0; j <= count; j++) {\n                    mask[prev + j] = 1;\n                }\n            }\n            while (mask[++i] && i < s.length)\n                ;\n            prev = i;\n            count = 0;\n        }\n    }\n    return mask;\n}\n/**\n * WeightedLinearRegression.\n * @param x\n * @param y\n * @param w\n */\nfunction weightedLinearRegression(x, y, w) {\n    let sxtw = 0;\n    let swx = 0;\n    let sw = 0;\n    let sxtwy = 0;\n    let swy = 0;\n    for (let i = 0; i < x.length; i++) {\n        sxtw += x[i] * x[i] * w[i];\n        swx += x[i] * w[i];\n        sw += w[i];\n        sxtwy += x[i] * w[i] * y[i];\n        swy += w[i] * y[i];\n    }\n    /* Just to know what is the matrix system that we solve\n     let Mx=[[sxtw, swx], [swx, sw]];\n     let My=[[sxtwy], [swy]];\n    */\n    //Mx inverse\n    const detMx = sxtw * sw - swx * swx;\n    const inMx = [\n        [sw / detMx, -swx / detMx],\n        [-swx / detMx, sxtw / detMx],\n    ];\n    return [\n        inMx[0][0] * sxtwy + inMx[0][1] * swy,\n        inMx[1][0] * sxtwy + inMx[1][1] * swy,\n    ];\n}\nfunction toRadians(degree) {\n    return (degree * Math.PI) / 180;\n}\nfunction getNegArea(data) {\n    let area = 0;\n    for (const element of data) {\n        if (element < 0)\n            area -= element;\n    }\n    return area;\n}\n//# sourceMappingURL=reimAutoPhaseCorrection.js.map","import FFT from 'fft.js';\nimport { xRotate } from '../x';\n/**\n * ReimFFT.\n * @param data - complex spectrum\n * @param options - options.\n * @returns FFT of complex spectrum.\n */\nexport function reimFFT(data, options = {}) {\n    const { inverse = false, applyZeroShift = false } = options;\n    const { re, im } = data;\n    const size = re.length;\n    const csize = size << 1;\n    let complexArray = new Float64Array(csize);\n    for (let i = 0; i < csize; i += 2) {\n        complexArray[i] = re[i >>> 1];\n        complexArray[i + 1] = im[i >>> 1];\n    }\n    const fft = new FFT(size);\n    let output = new Float64Array(csize);\n    if (inverse) {\n        if (applyZeroShift)\n            complexArray = zeroShift(complexArray, true);\n        fft.inverseTransform(output, complexArray);\n    }\n    else {\n        fft.transform(output, complexArray);\n        if (applyZeroShift)\n            output = zeroShift(output);\n    }\n    const newRe = new Float64Array(size);\n    const newIm = new Float64Array(size);\n    for (let i = 0; i < csize; i += 2) {\n        newRe[i >>> 1] = output[i];\n        newIm[i >>> 1] = output[i + 1];\n    }\n    return { re: newRe, im: newIm };\n}\nfunction zeroShift(data, inverse) {\n    const middle = inverse\n        ? Math.ceil(data.length / 2)\n        : Math.floor(data.length / 2);\n    return xRotate(data, middle);\n}\n//# sourceMappingURL=reimFFT.js.map","/**\n * Align data of two spectra by verifying wether x values are in a certain range (`delta`).\n * The two spectra should not have two consecutive x values which difference is\n * smaller than `delta` to achieve good results!\n * @param data1 - First spectrum data\n * @param data2 - Second spectrum data\n * @param options - Options\n */\nexport function xyAlign(data1, data2, options = {}) {\n    const { delta = 1, common = true, x = 'x1' } = options;\n    const result = {\n        x: [],\n        y1: [],\n        y2: [],\n    };\n    let i = 0;\n    let j = 0;\n    const length1 = data1.x.length;\n    const length2 = data2.x.length;\n    while (i < length1 && j < length2) {\n        let maxDiff = 0;\n        if (typeof delta === 'function') {\n            const mean = (data1.x[i] + data2.x[j]) / 2; // is this a good thing to do?\n            maxDiff = delta(mean);\n        }\n        else {\n            maxDiff = delta;\n        }\n        const difference = data1.x[i] - data2.x[j];\n        if (Math.abs(difference) > maxDiff) {\n            if (difference > 0) {\n                if (!common) {\n                    result.x.push(data2.x[j]);\n                    result.y1.push(0);\n                    result.y2.push(data2.y[j]);\n                    if (j === length2 - 1) {\n                        while (i < length1) {\n                            result.x.push(data1.x[i]);\n                            result.y1.push(data1.y[i]);\n                            result.y2.push(0);\n                            i++;\n                        }\n                    }\n                }\n                j++;\n            }\n            else {\n                if (!common) {\n                    result.x.push(data1.x[i]);\n                    result.y1.push(data1.y[i]);\n                    result.y2.push(0);\n                    if (i === length1 - 1) {\n                        while (j < length2) {\n                            result.x.push(data2.x[j]);\n                            result.y1.push(0);\n                            result.y2.push(data2.y[j]);\n                            j++;\n                        }\n                    }\n                }\n                i++;\n            }\n        }\n        else {\n            const weightedX = (data1.x[i] * data1.y[i] + data2.x[j] * data2.y[j]) /\n                (data1.y[i] + data2.y[j]);\n            switch (x) {\n                case 'x1':\n                    result.x.push(data1.x[i]);\n                    break;\n                case 'x2':\n                    result.x.push(data2.x[j]);\n                    break;\n                case 'weighted':\n                    result.x.push(weightedX);\n                    break;\n                default:\n                    throw new Error(`unknown x option value: ${String(x)}`);\n            }\n            result.y1.push(data1.y[i]);\n            result.y2.push(data2.y[j]);\n            i++;\n            j++;\n        }\n    }\n    return result;\n}\n//# sourceMappingURL=xyAlign.js.map","import { isAnyArray } from 'is-any-array';\n/**\n * Verify that `data` is an object of x,y arrays.\n * Throws an error if it's not.\n * @param data\n * @param options\n * @param options.minLength\n */\nexport function xyCheck(data, options = {}) {\n    const { minLength } = options;\n    if (data === null ||\n        typeof data !== 'object' ||\n        // @ts-expect-error Typechecking\n        !isAnyArray(data.x) ||\n        // @ts-expect-error Typechecking\n        !isAnyArray(data.y)) {\n        throw new Error('data must be an object of x and y arrays');\n    }\n    // @ts-expect-error Typechecking\n    if (data.x.length !== data.y.length) {\n        throw new Error('the x and y arrays must have the same length');\n    }\n    // @ts-expect-error Typechecking\n    if (minLength && data.x.length < minLength) {\n        throw new Error(`data.x must have a length of at least ${minLength}`);\n    }\n}\n//# sourceMappingURL=xyCheck.js.map","import { xMean } from '../x';\n/**\n * Finds the covariance of the points.\n * @param data\n * @param options\n * @returns the covariance\n */\nexport function xyCovariance(data, options = {}) {\n    const { x, y } = data;\n    const { unbiased = true } = options;\n    const meanX = xMean(x);\n    const meanY = xMean(y);\n    let error = 0;\n    for (let i = 0; i < x.length; i++) {\n        error += (x[i] - meanX) * (y[i] - meanY);\n    }\n    if (unbiased) {\n        return error / (x.length - 1);\n    }\n    else {\n        return error / x.length;\n    }\n}\n//# sourceMappingURL=xyCovariance.js.map","import { xGetFromToIndex } from '../x';\nimport { xyCheck } from './xyCheck';\n/**\n * Finds the max y value in a range and return a {x,y} point\n * @param data - Object that contains property x (an ordered increasing array) and y (an array)\n * @param options - Options\n */\nexport function xyMaxYPoint(data, options = {}) {\n    xyCheck(data, { minLength: 1 });\n    const { x, y } = data;\n    if (x.length === 1) {\n        return { x: x[0], y: y[0], index: 0 };\n    }\n    const { fromIndex, toIndex } = xGetFromToIndex(x, options);\n    let current = { x: x[fromIndex], y: y[fromIndex], index: fromIndex };\n    for (let i = fromIndex; i <= toIndex; i++) {\n        if (y[i] > current.y)\n            current = { x: x[i], y: y[i], index: i };\n    }\n    return current;\n}\n//# sourceMappingURL=xyMaxYPoint.js.map","import { xCumulative, xMaxValue } from '../x';\nimport { xyCheck } from './xyCheck';\nimport { xyMaxYPoint } from './xyMaxYPoint';\nconst STEPS = [0.25, 0.5, 0.75];\n/**\n * Cumulative Distribution Statistics\n * @param data - array of points {x,y}\n * @returns x0, x25, x50, x75, x100, xMode, xMean (x for maxY)\n */\nexport function xyCumulativeDistributionStatistics(data) {\n    xyCheck(data, { minLength: 1 });\n    const { x, y } = data;\n    const cumulativeSum = xCumulative(y);\n    const maxY = xMaxValue(cumulativeSum);\n    for (let i = 0; i < cumulativeSum.length; i++) {\n        cumulativeSum[i] /= maxY;\n    }\n    const result = {\n        x0: 0,\n        x25: 0,\n        x50: 0,\n        x75: 0,\n        x100: 0,\n        xMode: 0,\n        xMean: 0,\n    };\n    // need to find the x values closest to STEPS/100\n    result.x0 = x[0];\n    result.x100 = x.at(-1);\n    let currentStep = 0;\n    breakPoint: for (let i = 1; i < cumulativeSum.length; i++) {\n        while (STEPS[currentStep] < cumulativeSum[i]) {\n            // Key is computed dynamically with a multiplication. This cannot be type-safe, hence the \"as\" assertion.\n            const key = `x${STEPS[currentStep] * 100}`;\n            result[key] =\n                x[i - 1] +\n                    (x[i] - x[i - 1]) *\n                        ((STEPS[currentStep] - cumulativeSum[i - 1]) /\n                            (cumulativeSum[i] - cumulativeSum[i - 1]));\n            currentStep++;\n            if (currentStep === STEPS.length)\n                break breakPoint;\n        }\n    }\n    result.xMode = xyMaxYPoint(data).x;\n    let sumXY = 0;\n    let sumY = 0;\n    for (let i = 0; i < x.length; i++) {\n        sumXY += x[i] * y[i];\n        sumY += y[i];\n    }\n    result.xMean = sumXY / sumY;\n    return result;\n}\n//# sourceMappingURL=xyCumulativeDistributionStatistics.js.map","import { xEnsureFloat64 } from '../x';\nexport function xyEnsureFloat64(data) {\n    return {\n        x: xEnsureFloat64(data.x),\n        y: xEnsureFloat64(data.y),\n    };\n}\n//# sourceMappingURL=xyEnsureFloat64.js.map","import { xIsMonotonic } from '../x';\nimport { xyCheck } from './xyCheck';\n/**\n * Filters x,y values to allow strictly growing values in x-axis.\n * @param data - Object that contains property x (an ordered increasing array) and y (an array).\n */\nexport function xyEnsureGrowingX(data) {\n    xyCheck(data);\n    if (xIsMonotonic(data.x) === 1)\n        return data;\n    const x = Array.from(data.x);\n    const y = Array.from(data.y);\n    let prevX = Number.NEGATIVE_INFINITY;\n    let currentIndex = 0;\n    for (let index = 0; index < x.length; index++) {\n        if (prevX < x[index]) {\n            if (currentIndex < index) {\n                x[currentIndex] = x[index];\n                y[currentIndex] = y[index];\n            }\n            currentIndex++;\n            prevX = x[index];\n        }\n    }\n    x.length = currentIndex;\n    y.length = currentIndex;\n    return { x, y };\n}\n//# sourceMappingURL=xyEnsureGrowingX.js.map","/**\n * Normalize an array of zones:\n * - ensure than from < to\n * - merge overlapping zones\n * - deal with exclusions zones\n * - if no zones is specified add one between -Infinity and +Infinity\n * @param zones - array of zones\n * @param options - options\n * @returns array of zones\n */\nexport function zonesNormalize(zones = [], options = {}) {\n    const { exclusions = [] } = options;\n    let { from = Number.NEGATIVE_INFINITY, to = Number.POSITIVE_INFINITY } = options;\n    if (from > to)\n        [from, to] = [to, from];\n    zones = zones\n        .map((zone) => zone.from > zone.to ? { from: zone.to, to: zone.from } : { ...zone })\n        .sort((a, b) => {\n        if (a.from !== b.from)\n            return a.from - b.from;\n        return a.to - b.to;\n    });\n    if (zones.length === 0) {\n        zones.push({ from, to });\n    }\n    for (const zone of zones) {\n        if (from > zone.from)\n            zone.from = from;\n        if (to < zone.to)\n            zone.to = to;\n    }\n    zones = zones.filter((zone) => zone.from <= zone.to);\n    if (zones.length === 0)\n        return [];\n    let currentZone = zones[0];\n    const beforeExclusionsZones = [currentZone];\n    for (let i = 1; i < zones.length; i++) {\n        const zone = zones[i];\n        if (zone.from <= currentZone.to) {\n            if (currentZone.to < zone.to) {\n                currentZone.to = zone.to;\n            }\n        }\n        else {\n            currentZone = zone;\n            beforeExclusionsZones.push(currentZone);\n        }\n    }\n    if (exclusions.length === 0)\n        return beforeExclusionsZones;\n    const normalizedExclusions = zonesNormalize(exclusions);\n    let currentExclusionIndex = 0;\n    const results = [];\n    for (let zoneIndex = 0; zoneIndex < beforeExclusionsZones.length; zoneIndex++) {\n        const zone = beforeExclusionsZones[zoneIndex];\n        if (currentExclusionIndex === normalizedExclusions.length) {\n            // we analysed all the exclusion zones\n            results.push(zone);\n            continue;\n        }\n        while (currentExclusionIndex < normalizedExclusions.length &&\n            normalizedExclusions[currentExclusionIndex].to <= zone.from) {\n            currentExclusionIndex++;\n        }\n        if (currentExclusionIndex === normalizedExclusions.length) {\n            // we analysed all the exclusion zones\n            results.push(zone);\n            continue;\n        }\n        if (zone.to < normalizedExclusions[currentExclusionIndex].from) {\n            // no problems, not yet in exclusion\n            results.push(zone);\n            continue;\n        }\n        if (normalizedExclusions[currentExclusionIndex].to >= zone.to) {\n            // could be totally excluded\n            if (normalizedExclusions[currentExclusionIndex].from <= zone.from) {\n                continue;\n            }\n            results.push({\n                from: normalizedExclusions[currentExclusionIndex].to,\n                to: zone.to,\n            });\n        }\n        // we cut in the middle, we need to create more zones, annoying !\n        if (normalizedExclusions[currentExclusionIndex].from > zone.from) {\n            results.push({\n                from: zone.from,\n                to: normalizedExclusions[currentExclusionIndex].from,\n            });\n        }\n        zone.from = normalizedExclusions[currentExclusionIndex].to;\n        zoneIndex--;\n    }\n    return results;\n}\n//# sourceMappingURL=zonesNormalize.js.map","import { zonesNormalize } from './zonesNormalize';\n/**\n * Add the number of points per zone to reach a specified total\n * @param zones - array of zones\n * @param numberOfPoints - total number of points to distribute between zones\n * @param options - options\n * @returns array of zones with points\n */\nexport function zonesWithPoints(zones = [], \n/**\n * total number of points to distribute between zones\n * @default 10\n */\nnumberOfPoints = 10, options = {}) {\n    if (zones.length === 0)\n        return [];\n    const normalizedZones = zonesNormalize(zones, options);\n    const zonesWithNumberOfPoints = [];\n    const totalSize = normalizedZones.reduce((previous, current) => {\n        return previous + (current.to - current.from);\n    }, 0);\n    const unitsPerPoint = totalSize / numberOfPoints;\n    let currentTotal = 0;\n    for (let i = 0; i < normalizedZones.length - 1; i++) {\n        const tempZone = normalizedZones[i];\n        const tempZoneNumberOfPoints = Math.min(Math.round((tempZone.to - tempZone.from) / unitsPerPoint), numberOfPoints - currentTotal);\n        zonesWithNumberOfPoints.push({\n            ...tempZone,\n            numberOfPoints: tempZoneNumberOfPoints,\n        });\n        currentTotal += tempZoneNumberOfPoints;\n    }\n    zonesWithNumberOfPoints.push({\n        ...normalizedZones.at(-1),\n        numberOfPoints: numberOfPoints - currentTotal,\n    });\n    return zonesWithNumberOfPoints;\n}\n//# sourceMappingURL=zonesWithPoints.js.map","/**\n * Function that retrieves the getEquallySpacedData with the variant \"slot\".\n * @param x\n * @param y\n * @param from\n * @param to\n * @param numberOfPoints\n * @returns Array of y's equally spaced with the variant \"slot\"\n */\nexport default function equallySpacedSlot(\n/** x coordinates */\nx, \n/** y coordinates */\ny, \n/** from value */\nfrom, \n/** to value */\nto, \n/** number of points */\nnumberOfPoints) {\n    const xLength = x.length;\n    if (xLength < 2) {\n        return Float64Array.from(x);\n    }\n    const step = (to - from) / (numberOfPoints > 1 ? numberOfPoints - 1 : 1);\n    const halfStep = step / 2;\n    const lastStep = x.at(-1) - x.at(-2);\n    const start = from - halfStep;\n    // Changed Array to Float64Array\n    const output = new Float64Array(numberOfPoints);\n    // Init main variables\n    let min = start;\n    let max = start + step;\n    let previousX = -Number.MAX_VALUE;\n    let previousY = 0;\n    let nextX = x[0];\n    let nextY = y[0];\n    let frontOutsideSpectra = 0;\n    let backOutsideSpectra = true;\n    let currentValue = 0;\n    // for slot algorithm\n    let currentPoints = 0;\n    let i = 1; // index of input\n    let j = 0; // index of output\n    main: while (true) {\n        if (previousX >= nextX)\n            throw new Error('x must be a growing series');\n        while (previousX - max > 0) {\n            // no overlap with original point, just consume current value\n            if (backOutsideSpectra) {\n                currentPoints++;\n                backOutsideSpectra = false;\n            }\n            output[j] = currentPoints <= 0 ? 0 : currentValue / currentPoints;\n            j++;\n            if (j === numberOfPoints) {\n                break main;\n            }\n            min = max;\n            max += step;\n            currentValue = 0;\n            currentPoints = 0;\n        }\n        if (previousX > min) {\n            currentValue += previousY;\n            currentPoints++;\n        }\n        if (previousX === -Number.MAX_VALUE || frontOutsideSpectra > 1) {\n            currentPoints--;\n        }\n        previousX = nextX;\n        previousY = nextY;\n        if (i < xLength) {\n            nextX = x[i];\n            nextY = y[i];\n            i++;\n        }\n        else {\n            nextX += lastStep;\n            nextY = 0;\n            frontOutsideSpectra++;\n        }\n    }\n    return output;\n}\n//# sourceMappingURL=equallySpacedSlot.js.map","/**\n * Function that calculates the integral of the line between two\n * x-coordinates, given the slope and intercept of the line.\n * @param x0\n * @param x1\n * @param slope\n * @param intercept\n * @returns integral value.\n */\nexport default function integral(\n/** first coordinate of point */\nx0, \n/** second coordinate of point */\nx1, \n/** slope of the line */\nslope, \n/** intercept of the line on the y axis */\nintercept) {\n    return (0.5 * slope * x1 * x1 +\n        intercept * x1 -\n        (0.5 * slope * x0 * x0 + intercept * x0));\n}\n//# sourceMappingURL=integral.js.map","import integral from './integral';\n/**\n * Function that retrieves the getEquallySpacedData with the variant \"smooth\".\n * @param x\n * @param y\n * @param from\n * @param to\n * @param numberOfPoints\n * @returns - Array of y's equally spaced with the variant \"smooth\"\n */\nexport default function equallySpacedSmooth(\n/** x coordinates */\nx, \n/** y coordinates */\ny, \n/** from value */\nfrom, \n/** to value */\nto, \n/** number of points */\nnumberOfPoints) {\n    const xLength = x.length;\n    const step = (to - from) / (numberOfPoints > 1 ? numberOfPoints - 1 : 1);\n    const halfStep = step / 2;\n    // Changed Array to Float64Array\n    const output = new Float64Array(numberOfPoints);\n    const initialOriginalStep = x[1] - x[0];\n    const lastOriginalStep = x[xLength - 1] - x[xLength - 2];\n    // Init main variables\n    let min = from - halfStep;\n    let max = from + halfStep;\n    let previousX = Number.MIN_SAFE_INTEGER;\n    let previousY = 0;\n    let nextX = x[0] - initialOriginalStep;\n    let nextY = 0;\n    let currentValue = 0;\n    let slope = 0;\n    let intercept = 0;\n    let sumAtMin = 0;\n    let sumAtMax = 0;\n    let i = 0; // index of input\n    let j = 0; // index of output\n    let add = 0;\n    main: while (true) {\n        if (previousX >= nextX)\n            throw new Error('x must be a growing series');\n        if (previousX <= min && min <= nextX) {\n            add = integral(0, min - previousX, slope, previousY);\n            sumAtMin = currentValue + add;\n        }\n        while (nextX - max >= 0) {\n            // no overlap with original point, just consume current value\n            add = integral(0, max - previousX, slope, previousY);\n            sumAtMax = currentValue + add;\n            output[j++] = (sumAtMax - sumAtMin) / step;\n            if (j === numberOfPoints) {\n                break main;\n            }\n            min = max;\n            max += step;\n            sumAtMin = sumAtMax;\n        }\n        currentValue += integral(previousX, nextX, slope, intercept);\n        previousX = nextX;\n        previousY = nextY;\n        if (i < xLength) {\n            nextX = x[i];\n            nextY = y[i];\n            i++;\n        }\n        else if (i === xLength) {\n            nextX += lastOriginalStep;\n            nextY = 0;\n        }\n        slope = getSlope(previousX, previousY, nextX, nextY);\n        intercept = -slope * previousX + previousY;\n    }\n    return output;\n}\nfunction getSlope(x0, y0, x1, y1) {\n    return (y1 - y0) / (x1 - x0);\n}\n//# sourceMappingURL=equallySpacedSmooth.js.map","import { createFromToArray } from '../utils';\nimport { zonesNormalize, zonesWithPoints } from '../zones';\nimport equallySpacedSlot from './utils/equallySpacedSlot';\nimport equallySpacedSmooth from './utils/equallySpacedSmooth';\nimport { xyCheck } from './xyCheck';\n/**\n * Function that returns a Number array of equally spaced numberOfPoints\n * containing a representation of intensities of the spectra arguments x\n * and y.\n *\n * The options parameter contains an object in the following form:\n * from: starting point\n * to: last point\n * numberOfPoints: number of points between from and to\n * variant: \"slot\" or \"smooth\" - smooth is the default option\n *\n * The slot variant consist that each point in an array is calculated\n * averaging the existing points between the slot that belongs to the current\n * value. The smooth variant is the same but takes the integral of the range\n * of the slot and divide by the step size between two points in an array.\n *\n * If exclusions zone are present, zones are ignored !\n * @param data - object containing 2 properties x and y\n * @param options - options\n * @returns new object with x / y array with the equally spaced data.\n */\nexport function xyEquallySpaced(data, options = {}) {\n    const { x, y } = data;\n    const xLength = x.length;\n    const { from = x[0], to = x[xLength - 1], variant = 'smooth', numberOfPoints = 100, exclusions = [], zones = [{ from, to }], } = options;\n    if (from > to) {\n        throw new RangeError('from should be larger than to');\n    }\n    xyCheck(data);\n    if (numberOfPoints < 2) {\n        throw new RangeError(\"'numberOfPoints' option must be greater than 1\");\n    }\n    const normalizedZones = zonesNormalize(zones, { from, to, exclusions });\n    const zonesWithPointsRes = zonesWithPoints(normalizedZones, numberOfPoints, {\n        from,\n        to,\n    }).filter((zone) => zone.numberOfPoints);\n    let xResult = [];\n    let yResult = [];\n    for (const zone of zonesWithPointsRes) {\n        if (!zone.numberOfPoints) {\n            zone.numberOfPoints = 0;\n        }\n        const zoneResult = processZone(Array.from(x), Array.from(y), zone.from, zone.to, zone.numberOfPoints, variant);\n        xResult = xResult.concat(zoneResult.x);\n        yResult = yResult.concat(zoneResult.y);\n    }\n    return { x: xResult, y: yResult };\n}\nfunction processZone(x, y, from, to, numberOfPoints, variant) {\n    if (numberOfPoints < 1) {\n        throw new RangeError('the number of points must be at least 1');\n    }\n    const output = variant === 'slot'\n        ? Array.from(equallySpacedSlot(x, y, from, to, numberOfPoints))\n        : Array.from(equallySpacedSmooth(x, y, from, to, numberOfPoints));\n    return {\n        x: Array.from(createFromToArray({\n            from,\n            to,\n            length: numberOfPoints,\n        })),\n        y: output,\n    };\n}\n//# sourceMappingURL=xyEquallySpaced.js.map","import { zonesNormalize } from '../zones';\nimport { xyCheck } from './xyCheck';\n/**\n * Extract zones from a XY data.\n * @param data - Object that contains property x (an ordered increasing array) and y (an array)\n * @param options - options\n * @returns - Array of points\n */\nexport function xyExtract(data, options = {}) {\n    xyCheck(data);\n    const { x, y } = data;\n    let { zones } = options;\n    zones = zonesNormalize(zones);\n    if (x === undefined ||\n        y === undefined ||\n        !Array.isArray(zones) ||\n        zones.length === 0) {\n        return data;\n    }\n    const newX = [];\n    const newY = [];\n    let currentZone = zones[0];\n    let position = 0;\n    loop: for (let i = 0; i < x.length; i++) {\n        while (currentZone.to < x[i]) {\n            position++;\n            currentZone = zones[position];\n            if (!currentZone) {\n                i = x.length;\n                break loop;\n            }\n        }\n        if (x[i] >= currentZone.from) {\n            newX.push(x[i]);\n            newY.push(y[i]);\n        }\n    }\n    return { x: newX, y: newY };\n}\n//# sourceMappingURL=xyExtract.js.map","/**\n * Filter an array x/y based on various criteria x points are expected to be sorted\n * @param data - object containing 2 properties x and y\n * @param options - options\n * @returns filtered array\n */\nexport function xyFilter(data, options = {}) {\n    const { x, y } = data;\n    const { filter } = options;\n    const newX = [];\n    const newY = [];\n    for (let i = 0; i < x.length; i++) {\n        if (!filter || filter(x[i], y[i])) {\n            newX.push(x[i]);\n            newY.push(y[i]);\n        }\n    }\n    return {\n        x: newX,\n        y: newY,\n    };\n}\n//# sourceMappingURL=xyFilter.js.map","import { xMinMaxValues } from '../x';\n/**\n * Filter an array x/y based on various criteria x points are expected to be sorted\n * @param data - object containing 2 properties x and y\n * @param minRelativeYValue - the minimum relative value compare to the Y max value\n * @returns filtered data\n */\nexport function xyFilterMinYValue(data, minRelativeYValue) {\n    if (minRelativeYValue === undefined)\n        return data;\n    const { x, y } = data;\n    const { min, max } = xMinMaxValues(y);\n    const threshold = max * minRelativeYValue;\n    if (min >= threshold)\n        return data;\n    const newX = [];\n    const newY = [];\n    for (let i = 0; i < x.length; i++) {\n        if (y[i] >= threshold) {\n            newX.push(x[i]);\n            newY.push(y[i]);\n        }\n    }\n    return {\n        x: newX,\n        y: newY,\n    };\n}\n//# sourceMappingURL=xyFilterMinYValue.js.map","import { xSortDescending } from '../x';\n/**\n * Filter an array x/y based on various criteria x points are expected to be sorted\n * @param data - object containing 2 properties x and y\n * @param nbPeaks\n * @returns filtered data\n */\nexport function xyFilterTopYValues(data, nbPeaks) {\n    if (nbPeaks === undefined)\n        return data;\n    if (nbPeaks > data.x.length)\n        return data;\n    const { x, y } = data;\n    const newX = [];\n    const newY = [];\n    const descending = xSortDescending(y.slice());\n    const threshold = descending[nbPeaks - 1];\n    let nbThreshold = 0;\n    for (let i = 0; i < nbPeaks; i++) {\n        if (descending[i] === threshold) {\n            nbThreshold++;\n        }\n    }\n    for (let i = 0; i < x.length; i++) {\n        if (y[i] > threshold) {\n            newX.push(x[i]);\n            newY.push(y[i]);\n        }\n        else if (y[i] === threshold) {\n            nbThreshold--;\n            if (nbThreshold >= 0) {\n                newX.push(x[i]);\n                newY.push(y[i]);\n            }\n        }\n    }\n    return {\n        x: newX,\n        y: newY,\n    };\n}\n//# sourceMappingURL=xyFilterTopYValues.js.map","import { zonesNormalize } from '../zones';\n/**\n * Filter an array x/y based on various criteria x points are expected to be sorted\n * @param data - object containing 2 properties x and y\n * @param options - options\n * @returns filtered array\n */\nexport function xyFilterX(data, options = {}) {\n    const { x, y } = data;\n    if (x.length === 0) {\n        return {\n            x: Array.from(x),\n            y: Array.from(y),\n        };\n    }\n    const { from = x[0], to = x.at(-1), zones = [{ from, to }], exclusions = [], } = options;\n    const normalizedZones = zonesNormalize(zones, { from, to, exclusions });\n    let currentZoneIndex = 0;\n    const newX = [];\n    const newY = [];\n    let position = 0;\n    while (position < x.length) {\n        if (x[position] <= normalizedZones[currentZoneIndex].to &&\n            x[position] >= normalizedZones[currentZoneIndex].from) {\n            newX.push(x[position]);\n            newY.push(y[position]);\n        }\n        else if (x[position] > normalizedZones[currentZoneIndex].to) {\n            currentZoneIndex++;\n            if (!normalizedZones[currentZoneIndex])\n                break;\n        }\n        position++;\n    }\n    return {\n        x: newX,\n        y: newY,\n    };\n}\n//# sourceMappingURL=xyFilterX.js.map","import { xyCheck } from './xyCheck';\n/**\n * Filter out all the points for which x <= 0. Useful to display log scale data\n * @param data - data\n * @returns - An object with the filtered data\n */\nexport function xyFilterXPositive(data) {\n    xyCheck(data);\n    const { x, y } = data;\n    const newX = [];\n    const newY = [];\n    if (x === undefined || y === undefined) {\n        return { x: newX, y: newY };\n    }\n    for (let i = 0; i < x.length; i++) {\n        if (x[i] > 0) {\n            newX.push(x[i]);\n            newY.push(y[i]);\n        }\n    }\n    return { x: newX, y: newY };\n}\n//# sourceMappingURL=xyFilterXPositive.js.map","import { xFindClosestIndex } from '../x';\n/**\n * Finds the closest point\n * @param data - x array should be sorted and ascending\n * @param target - target to search\n * @returns - closest point\n */\nexport function xyFindClosestPoint(\n/** points */\ndata, target) {\n    const { x, y } = data;\n    const index = xFindClosestIndex(x, target);\n    return {\n        x: x[index],\n        y: y[index],\n    };\n}\n//# sourceMappingURL=xyFindClosestPoint.js.map","import { xyCheck } from './xyCheck';\n/**\n * Returns the numberMaxPoints points with the bigger y.\n * @param data - Object that contains property x (an ordered increasing array) and y (an array)\n * @param numberMaxPoints - Number of points to keep\n * @returns - The points filtered to keep the `numberMaxPoints` most intense points of the input.\n */\nexport function xyGetNMaxY(data, numberMaxPoints) {\n    xyCheck(data);\n    if (data.x.length <= numberMaxPoints) {\n        return data;\n    }\n    else {\n        const newX = new Float64Array(numberMaxPoints);\n        const newY = new Float64Array(numberMaxPoints);\n        // slice() is used to make a copy of the array, because sort() is IPM\n        const threshold = Float64Array.from(data.y).sort().reverse()[numberMaxPoints - 1];\n        let index = 0;\n        for (let i = 0; i < data.x.length; i++) {\n            if (data.y[i] >= threshold) {\n                newX[index] = data.x[i];\n                newY[index] = data.y[i];\n                index++;\n            }\n            if (index === numberMaxPoints) {\n                return { x: newX, y: newY };\n            }\n        }\n        return data;\n    }\n}\n//# sourceMappingURL=xyGetNMaxY.js.map","/**\n * Order object of array, x has to be monotone. Ensure x is growing\n * @param data - Object of kind {x:[], y:[]}.\n */\nexport function xyGrowingX(data) {\n    const { x, y } = data;\n    if (x.length !== y.length) {\n        throw new TypeError('length of x and y must be identical');\n    }\n    if (x.length < 2 || x[0] < x.at(-1))\n        return data;\n    return {\n        x: x.slice(0).reverse(),\n        y: y.slice(0).reverse(),\n    };\n}\n//# sourceMappingURL=xyGrowingX.js.map","import { xGetFromToIndex } from '../x';\nimport { xyCheck } from './xyCheck';\n/**\n * Generate a X / Y of the xyIntegral\n * @param data - Object that contains property x (an ordered increasing array) and y (an array)\n * @param options - Options\n * @returns - An object with the xyIntegration function\n */\nexport function xyIntegral(data, options = {}) {\n    const { reverse = false } = options;\n    xyCheck(data, { minLength: 1 });\n    const { x, y } = data;\n    const { fromIndex, toIndex } = xGetFromToIndex(x, options);\n    let xyIntegration = 0;\n    const currentxyIntegral = {\n        x: new Float64Array(toIndex - fromIndex + 1),\n        y: new Float64Array(toIndex - fromIndex + 1),\n    };\n    let index = 0;\n    if (reverse) {\n        currentxyIntegral.y[index] = 0;\n        currentxyIntegral.x[index++] = x[toIndex];\n        for (let i = toIndex; i > fromIndex; i--) {\n            xyIntegration += ((x[i] - x[i - 1]) * (y[i - 1] + y[i])) / 2;\n            currentxyIntegral.x[index] = x[i - 1];\n            currentxyIntegral.y[index++] = xyIntegration;\n        }\n        currentxyIntegral.x.reverse();\n        currentxyIntegral.y.reverse();\n    }\n    else {\n        currentxyIntegral.y[index] = 0;\n        currentxyIntegral.x[index++] = x[fromIndex];\n        for (let i = fromIndex; i < toIndex; i++) {\n            xyIntegration += ((x[i + 1] - x[i]) * (y[i + 1] + y[i])) / 2;\n            currentxyIntegral.x[index] = x[i + 1];\n            currentxyIntegral.y[index++] = xyIntegration;\n        }\n    }\n    return currentxyIntegral;\n}\n//# sourceMappingURL=xyIntegral.js.map","import { xGetFromToIndex } from '../x';\nimport { xyCheck } from './xyCheck';\n/**\n * Calculate integration\n * @param data - Object that contains property x (an ordered increasing array) and y (an array)\n * @param options - Options\n * @returns - xyIntegration value on the specified range\n */\nexport function xyIntegration(data, options = {}) {\n    xyCheck(data, { minLength: 1 });\n    const { x, y } = data;\n    if (x.length === 1)\n        return 0;\n    const { fromIndex, toIndex } = xGetFromToIndex(x, options);\n    let currentxyIntegration = 0;\n    for (let i = fromIndex; i < toIndex; i++) {\n        currentxyIntegration += ((x[i + 1] - x[i]) * (y[i + 1] + y[i])) / 2;\n    }\n    return currentxyIntegration;\n}\n//# sourceMappingURL=xyIntegration.js.map","import { xyCheck } from './xyCheck';\n/**\n * Join x / y values when difference in X is closer than delta.\n * When joining, y values are summed and x values are weighted average\n * @param data - Object that contains property x (an ordered increasing array) and y (an array)\n * @param options - Options\n * @returns - An object with the xyIntegration function\n */\nexport function xyJoinX(data, options = {}) {\n    xyCheck(data);\n    const { delta = 1 } = options;\n    const deltaIsFunction = typeof delta === 'function';\n    const x = Array.from(data.x);\n    const y = Array.from(data.y);\n    if (x.length < 2) {\n        return { x, y };\n    }\n    let position = 0;\n    for (let i = 1; i < x.length; i++) {\n        const difference = x[i] - x[i - 1];\n        const currentDelta = deltaIsFunction ? delta((x[i] + x[i - 1]) / 2) : delta;\n        if (difference <= currentDelta) {\n            // we join\n            if (y[position] !== 0 || y[i] !== 0) {\n                x[position] =\n                    (x[position] * y[position] + x[i] * y[i]) / (y[position] + y[i]);\n                y[position] += y[i];\n            }\n        }\n        else {\n            position++;\n            x[position] = x[i];\n            y[position] = y[i];\n        }\n    }\n    x.length = position + 1;\n    y.length = position + 1;\n    return { x, y };\n}\n//# sourceMappingURL=xyJoinX.js.map","import { xGetFromToIndex } from '../x/xGetFromToIndex';\nimport { xyCheck } from './xyCheck';\n/**\n * Computes the weighted mean value of an array of values.\n * @param data - array of DataXY\n * @param options - options\n */\nexport function xyMassCenter(data, options = {}) {\n    xyCheck(data, { minLength: 1 });\n    const { x, y } = data;\n    const { fromIndex, toIndex } = xGetFromToIndex(x, options);\n    let sumYs = 0;\n    let sumProducts = 0;\n    for (let i = fromIndex; i <= toIndex; i++) {\n        sumProducts += x[i] * y[i];\n        sumYs += y[i];\n    }\n    if (sumYs === 0) {\n        throw new Error('Sum of Ys can not be zero.');\n    }\n    return sumProducts / sumYs;\n}\n//# sourceMappingURL=xyMassCenter.js.map","import { xFindClosestIndex } from '../x';\nimport { xyCheck } from './xyCheck';\n/**\n * We will calculate a vector containing center of mass of DataXY as well as center of mass of both parts, etc.\n * This approach allows to efficiently represent spectra like XPS, NMR, etc. It should provide an extremely efficient\n * way to store and search similar spectra.\n * @param data - Object that contains property x (an ordered increasing array) and y (an array)\n * @param options\n * @returns - Array of centers of mass\n */\nexport function xyMassCenterVector(data, options = {}) {\n    xyCheck(data, { minLength: 2 });\n    const { depth = 5 } = options;\n    const { weightedIntegral, integral } = getWeightedIntegral(data);\n    const results = new Float64Array((1 << depth) - 1);\n    const endIndexes = new Int32Array((1 << depth) - 1);\n    endIndexes[0] = data.x.length - 1;\n    const beginIndexes = new Int32Array((1 << depth) - 1);\n    beginIndexes[0] = -1;\n    let index = 0;\n    for (let i = 0; i < depth; i++) {\n        for (let j = 0; j < 1 << i; j++) {\n            const currentBeginIndex = beginIndexes[index];\n            const currentEndIndex = endIndexes[index];\n            const currentIntegration = currentBeginIndex === -1\n                ? integral[currentEndIndex]\n                : integral[currentEndIndex] - integral[currentBeginIndex];\n            // we need to solve the issue of null integration (rather in simulated spectra).\n            let x = 0;\n            if (currentIntegration !== 0) {\n                x =\n                    currentBeginIndex === -1\n                        ? weightedIntegral[currentEndIndex] / currentIntegration\n                        : (weightedIntegral[currentEndIndex] -\n                            weightedIntegral[currentBeginIndex]) /\n                            currentIntegration;\n            }\n            else {\n                x = (data.x[currentEndIndex] + data.x[currentBeginIndex]) / 2;\n            }\n            results[index++] = x;\n            // we can now prepare the next level\n            if (i < depth - 1) {\n                const nextIndex = (1 << (i + 1)) + j * 2 - 1;\n                let middleIndex = xFindClosestIndex(data.x, x);\n                if (middleIndex === currentBeginIndex) {\n                    middleIndex++;\n                }\n                beginIndexes[nextIndex] = currentBeginIndex;\n                endIndexes[nextIndex] = middleIndex;\n                if (middleIndex === currentEndIndex) {\n                    middleIndex--;\n                }\n                beginIndexes[nextIndex + 1] = middleIndex;\n                endIndexes[nextIndex + 1] = currentEndIndex;\n            }\n        }\n    }\n    return results;\n}\nfunction getWeightedIntegral(data) {\n    const { x, y } = data;\n    const weightedIntegral = new Float64Array(x.length);\n    const integral = new Float64Array(x.length);\n    // the first point, no points before\n    const firstIntegration = (x[1] - x[0]) * y[0];\n    let totalIntegration = firstIntegration;\n    integral[0] = totalIntegration;\n    let totalWeightedIntegral = firstIntegration * x[0];\n    weightedIntegral[0] = totalWeightedIntegral;\n    for (let i = 1; i < x.length - 1; i++) {\n        const currentIntegration = ((x[i + 1] - x[i - 1]) * y[i]) / 2;\n        const currentX = x[i];\n        totalIntegration += currentIntegration;\n        integral[i] = totalIntegration;\n        totalWeightedIntegral += currentIntegration * currentX;\n        weightedIntegral[i] = totalWeightedIntegral;\n    }\n    // the last point, no points after\n    const lastIntegration = (x.at(-1) - x.at(-2)) * y.at(-1);\n    totalIntegration += lastIntegration;\n    integral[x.length - 1] = totalIntegration;\n    totalWeightedIntegral += lastIntegration * x.at(-1);\n    weightedIntegral[x.length - 1] = totalWeightedIntegral;\n    return { integral, weightedIntegral };\n}\n//# sourceMappingURL=xyMassCenterVector.js.map","import { xFindClosestIndex } from '../x';\nimport { xyCheck } from './xyCheck';\n/**\n * Find the closest maximum going up hill\n * @param data - Object that contains property x (an ordered increasing array) and y (an array)\n * @param options - options\n * @returns - An object with the x/y value\n */\nexport function xyMaxClosestYPoint(data, options = {}) {\n    xyCheck(data);\n    const { x, y } = data;\n    const { target } = options;\n    let { targetIndex } = options;\n    if (targetIndex === undefined) {\n        if (target !== undefined) {\n            targetIndex = xFindClosestIndex(x, target);\n        }\n        else {\n            targetIndex = 0;\n        }\n    }\n    let previousIndex = Number.MIN_SAFE_INTEGER;\n    let currentIndex = targetIndex;\n    let xyMaxY = y[targetIndex];\n    while (currentIndex !== previousIndex) {\n        previousIndex = currentIndex;\n        if (currentIndex > 0 && y[currentIndex - 1] > xyMaxY) {\n            currentIndex--;\n        }\n        else if (currentIndex < x.length - 1 && y[currentIndex + 1] > xyMaxY) {\n            currentIndex++;\n        }\n        xyMaxY = y[currentIndex];\n    }\n    return {\n        x: x[currentIndex],\n        y: y[currentIndex],\n        index: currentIndex,\n    };\n}\n//# sourceMappingURL=xyMaxClosestYPoint.js.map","import { xGetFromToIndex } from '../x/xGetFromToIndex';\nimport { xyCheck } from './xyCheck';\n/**\n * Finds all the max values\n * If the values are equal the middle\n * of the equal part will be the position of the signal!\n * @param data - Object that contains property x (an ordered increasing array) and y (an array)\n * @param options - Object with from and to properties\n * @returns - Array of points\n */\nexport function xyMaximaY(data, options = {}) {\n    xyCheck(data, { minLength: 2 });\n    const { x, y } = data;\n    const { fromIndex, toIndex } = xGetFromToIndex(x, options);\n    const maxima = [];\n    let startEqualIndex = -1;\n    for (let i = fromIndex + 1; i < toIndex; i++) {\n        if (y[i - 1] < y[i] && y[i + 1] < y[i]) {\n            maxima.push({ x: x[i], y: y[i], index: i });\n        }\n        else if (y[i - 1] < y[i] && y[i + 1] === y[i]) {\n            startEqualIndex = i;\n        }\n        else if (y[i - 1] === y[i] && y[i + 1] < y[i]) {\n            const index = Math.floor((i + startEqualIndex) / 2);\n            maxima.push({ x: x[index], y: y[index], index });\n        }\n    }\n    return maxima;\n}\n//# sourceMappingURL=xyMaximaY.js.map","/**\n * Merge abscissas values on similar ordinates and weight the group of abscissas\n * @param data - object containing 2 properties x and y\n * @param options - options\n * @returns array of merged and weighted points\n */\nexport function xyMaxMerge(data, options = {}) {\n    const { x, y } = data;\n    const { groupWidth = 0.001 } = options;\n    const merged = { x: [], y: [] };\n    const maxAbscissa = { x: [], y: [] };\n    let size = 0;\n    let index = 0;\n    while (index < x.length) {\n        if (size === 0 || x[index] - merged.x[size - 1] > groupWidth) {\n            maxAbscissa.x.push(x[index]);\n            maxAbscissa.y.push(y[index]);\n            merged.x.push(x[index]);\n            merged.y.push(y[index]);\n            index++;\n            size++;\n        }\n        else {\n            if (y[index] > maxAbscissa.y[size - 1]) {\n                maxAbscissa.x[size - 1] = x[index];\n                maxAbscissa.y[size - 1] = y[index];\n            }\n            merged.x[size - 1] = x[index];\n            merged.y[size - 1] += y[index];\n            index++;\n        }\n    }\n    merged.x = maxAbscissa.x.slice();\n    return merged;\n}\n//# sourceMappingURL=xyMaxMerge.js.map","import { xGetFromToIndex } from '../x';\nimport { xyCheck } from './xyCheck';\n/**\n * Finds the max value in a zone\n * @param data - Object that contains property x (an ordered increasing array) and y (an array)\n * @param options - Options\n * @returns - Max y on the specified range\n */\nexport function xyMaxY(data, options = {}) {\n    xyCheck(data);\n    const { x, y } = data;\n    const { fromIndex, toIndex } = xGetFromToIndex(x, options);\n    let currentxyMaxY = y[fromIndex];\n    for (let i = fromIndex; i <= toIndex; i++) {\n        if (y[i] > currentxyMaxY)\n            currentxyMaxY = y[i];\n    }\n    return currentxyMaxY;\n}\n//# sourceMappingURL=xyMaxY.js.map","/**\n * Finds the median x value for an object with properties x and y (arrays of the same length)\n * @param data - x should be sorted in increasing order\n * @returns - the median of x values\n */\nexport function xyMedian(data) {\n    const { x, y } = data;\n    let sumY = 0;\n    let cumSumY = 0;\n    let i;\n    if (x.length === 0) {\n        return Number.NaN;\n    }\n    if (x.length === 1) {\n        return x[0];\n    }\n    for (i = 0; i < y.length; i++) {\n        sumY += y[i];\n    }\n    for (i = 0; i < y.length; i++) {\n        cumSumY += y[i];\n        if (cumSumY > sumY / 2) {\n            return x[i];\n        }\n        else if (cumSumY === sumY / 2) {\n            return 0.5 * (x[i] + x[i + 1]);\n        }\n    }\n    return Number.NaN;\n}\n//# sourceMappingURL=xyMedian.js.map","/**\n * Merge abscissa values if the ordinate value is in a list of centroids\n * @param data - object containing 2 properties x and y\n * @param centroids - centroids\n * @param options - options\n * @returns merged points\n */\nexport function xyMergeByCentroids(data, centroids, options = {}) {\n    const { window = 0.01 } = options;\n    const mergedPoints = {\n        x: Float64Array.from(centroids),\n        y: new Float64Array(centroids.length).fill(0),\n    };\n    let originalIndex = 0;\n    let mergedIndex = 0;\n    while (originalIndex < data.x.length && mergedIndex < centroids.length) {\n        const diff = data.x[originalIndex] - centroids[mergedIndex];\n        if (Math.abs(diff) < window) {\n            mergedPoints.y[mergedIndex] += data.y[originalIndex++];\n        }\n        else if (diff < 0) {\n            originalIndex++;\n        }\n        else {\n            mergedIndex++;\n        }\n    }\n    return mergedPoints;\n}\n//# sourceMappingURL=xyMergeByCentroids.js.map","import { xFindClosestIndex } from '../x';\nimport { xyCheck } from './xyCheck';\n/**\n * Find the closest minimum going down hill\n * @param data - Object that contains property x (an ordered increasing array) and y (an array)\n * @param options - Options\n * @returns - An object with the x/y value\n */\nexport function xyMinClosestYPoint(data, options = {}) {\n    xyCheck(data);\n    const { x, y } = data;\n    const { target } = options;\n    let { targetIndex } = options;\n    if (targetIndex === undefined) {\n        if (target !== undefined) {\n            targetIndex = xFindClosestIndex(x, target);\n        }\n        else {\n            targetIndex = 0;\n        }\n    }\n    let previousIndex = Number.MIN_SAFE_INTEGER;\n    let currentIndex = targetIndex;\n    let minY = y[targetIndex];\n    while (currentIndex !== previousIndex) {\n        previousIndex = currentIndex;\n        if (currentIndex > 0 && y[currentIndex - 1] < minY) {\n            currentIndex--;\n        }\n        else if (currentIndex < x.length - 1 && y[currentIndex + 1] < minY) {\n            currentIndex++;\n        }\n        minY = y[currentIndex];\n    }\n    return {\n        x: x[currentIndex],\n        y: y[currentIndex],\n        index: currentIndex,\n    };\n}\n//# sourceMappingURL=xyMinClosestYPoint.js.map","import { xGetFromToIndex } from '../x/xGetFromToIndex';\nimport { xyCheck } from './xyCheck';\n/**\n * Finds all the min values\n * If the values are equal the middle\n * of the equal part will be the position of the signal!\n * @param data - Object that contains property X (an ordered increasing array) and y (an arraY)\n * @param options - Object with from and to properties\n * @returns - Array of points.\n */\nexport function xyMinimaY(data, options = {}) {\n    xyCheck(data, { minLength: 2 });\n    const { x, y } = data;\n    const { fromIndex, toIndex } = xGetFromToIndex(x, options);\n    const maxima = [];\n    let startEqualIndex = -1;\n    for (let i = fromIndex + 1; i < toIndex; i++) {\n        if (y[i - 1] > y[i] && y[i + 1] > y[i]) {\n            maxima.push({ x: x[i], y: y[i], index: i });\n        }\n        else if (y[i - 1] > y[i] && y[i + 1] === y[i]) {\n            startEqualIndex = i;\n        }\n        else if (y[i - 1] === y[i] && y[i + 1] > y[i]) {\n            const index = Math.floor((i + startEqualIndex) / 2);\n            maxima.push({ x: x[index], y: y[index], index });\n        }\n    }\n    return maxima;\n}\n//# sourceMappingURL=xyMinimaY.js.map","import { xGetFromToIndex } from '../x';\nimport { xyCheck } from './xyCheck';\n/**\n * Finds the min y value in a range and return a {x,y} point\n * @param data - Object that contains property x (an ordered increasing array) and y (an array)\n * @param options - Options\n */\nexport function xyMinYPoint(data, options = {}) {\n    xyCheck(data, { minLength: 1 });\n    const { x, y } = data;\n    if (x.length === 1)\n        return { x: x[0], y: y[0], index: 0 };\n    const { fromIndex, toIndex } = xGetFromToIndex(x, options);\n    let current = {\n        x: x[fromIndex],\n        y: y[fromIndex],\n        index: fromIndex,\n    };\n    for (let i = fromIndex; i <= toIndex; i++) {\n        if (y[i] < current.y)\n            current = { x: x[i], y: y[i], index: i };\n    }\n    return current;\n}\n//# sourceMappingURL=xyMinYPoint.js.map","import { xFindClosestIndex } from '../x';\nimport { xyCheck } from './xyCheck';\n/**\n * Returns an information about a signal.\n *\n *\n * We expect ordered data and equidistant X axis\n * You can use the method helper if required:\n * ML.ArrayPoints.uniqueX\n * ML.ArrayPoints.sortX\n * ML.ArrayPoints.equallySpaced\n * @param data - Object that contains property x (an ordered increasing array) and y (an array)\n * @param options - options\n * @returns - Information about signal\n */\nexport function xyPeakInfo(data, options = {}) {\n    xyCheck(data);\n    const { x, y } = data;\n    if (x === undefined || y === undefined || x.length < 3) {\n        return;\n    }\n    const { target } = options;\n    let { targetIndex } = options;\n    if (targetIndex === undefined && target !== undefined) {\n        targetIndex = xFindClosestIndex(x, target);\n    }\n    if (targetIndex === undefined) {\n        throw new Error('must specify target or targetIndex');\n    }\n    let i = targetIndex;\n    let currentDiff = y[i] - y[i + 1];\n    const multiplier = currentDiff < 0 ? -1 : 1;\n    currentDiff *= multiplier;\n    while (i < x.length - 1) {\n        i++;\n        const newDiff = (y[i] - y[i + 1]) * multiplier;\n        if (newDiff < currentDiff)\n            break;\n        currentDiff = newDiff;\n    }\n    const after = { x: x[i], y: y[i] };\n    i = targetIndex;\n    currentDiff = (y[i] - y[i - 1]) * multiplier;\n    while (i > 1) {\n        i--;\n        const newDiff = (y[i] - y[i - 1]) * multiplier;\n        if (newDiff < currentDiff)\n            break;\n        currentDiff = newDiff;\n    }\n    const before = { x: x[i], y: y[i] };\n    return {\n        inflectionBefore: before,\n        inflectionAfter: after,\n        extrema: { x: x[targetIndex], y: y[targetIndex] },\n        inflectionMiddle: {\n            x: (before.x + after.x) / 2,\n            y: (before.y + after.y) / 2,\n        },\n        width: Math.abs(before.x - after.x),\n    };\n}\n//# sourceMappingURL=xyPeakInfo.js.map","import { xGetTargetIndex } from '../x';\nimport { xyCheck } from './xyCheck';\n/**\n * Find the closest minimum going down hill\n * @param data - Object that contains property x (an ordered increasing array) and y (an array)\n * @param options - options\n * @returns - An object with the x/y value\n */\nexport function xyRealMaxYPoint(data, options = {}) {\n    xyCheck(data);\n    const { x, y } = data;\n    const targetIndex = xGetTargetIndex(x, options);\n    // interpolation to a sin() function\n    if (y[targetIndex - 1] > 0 &&\n        y[targetIndex + 1] > 0 &&\n        y[targetIndex] >= y[targetIndex - 1] &&\n        y[targetIndex] >= y[targetIndex + 1]) {\n        const alpha = 20 * Math.log10(y[targetIndex - 1]);\n        const beta = 20 * Math.log10(y[targetIndex]);\n        const gamma = 20 * Math.log10(y[targetIndex + 1]);\n        const p = (0.5 * (alpha - gamma)) / (alpha - 2 * beta + gamma);\n        return {\n            x: x[targetIndex] + (x[targetIndex] - x[targetIndex - 1]) * p,\n            y: y[targetIndex] - 0.25 * (y[targetIndex - 1] - y[targetIndex + 1]) * p,\n            index: targetIndex,\n        };\n    }\n    else {\n        return {\n            x: x[targetIndex],\n            y: y[targetIndex],\n            index: targetIndex,\n        };\n    }\n}\n//# sourceMappingURL=xyRealMaxYPoint.js.map","import { xGetTargetIndex } from '../x';\nimport { xyCheck } from './xyCheck';\n/**\n * xyRealMinYPoint.\n * @param data - Data.\n * @param options - Options.\n */\nexport function xyRealMinYPoint(data, options = {}) {\n    xyCheck(data);\n    const { x, y } = data;\n    const targetIndex = xGetTargetIndex(x, options);\n    // interpolation to a sin() function\n    if (y[targetIndex - 1] < 0 &&\n        y[targetIndex + 1] < 0 &&\n        y[targetIndex] <= y[targetIndex - 1] &&\n        y[targetIndex] <= y[targetIndex + 1]) {\n        const alpha = 20 * Math.log10(-y[targetIndex - 1]);\n        const beta = 20 * Math.log10(-y[targetIndex]);\n        const gamma = 20 * Math.log10(-y[targetIndex + 1]);\n        const p = (0.5 * (alpha - gamma)) / (alpha - 2 * beta + gamma);\n        return {\n            x: x[targetIndex] + (x[targetIndex] - x[targetIndex - 1]) * p,\n            y: y[targetIndex] - 0.25 * (y[targetIndex - 1] - y[targetIndex + 1]) * p,\n            index: targetIndex,\n        };\n    }\n    else {\n        return {\n            x: x[targetIndex],\n            y: y[targetIndex],\n            index: targetIndex,\n        };\n    }\n}\n//# sourceMappingURL=xyRealMinYPoint.js.map","import { xFindClosestIndex } from '../x';\nimport { zonesNormalize } from '../zones';\nimport { xyCheck } from './xyCheck';\n/**\n * Reduce the number of points while keeping visually the same noise. Practical to\n * display many spectra as SVG. If you want a similar looking spectrum you should still however\n * generate at least 4x the nbPoints that is being displayed.\n *\n * SHOULD NOT BE USED FOR DATA PROCESSING !!!\n * You should rather use ml-xy-equally-spaced to make further processing\n * @param data - Object that contains property x (an ordered increasing array) and y (an array)\n * @param options - options\n * @returns Object with x and y arrays\n */\nexport function xyReduce(data, options = {}) {\n    xyCheck(data);\n    // todo we should check that the single point is really in the range and the zones\n    if (data.x.length < 2) {\n        return {\n            x: Float64Array.from(data.x),\n            y: Float64Array.from(data.y),\n        };\n    }\n    const { x, y } = data;\n    const { from = x[0], to = x.at(-1), nbPoints = 4001, optimize = false, } = options;\n    let { zones = [] } = options;\n    zones = zonesNormalize(zones, { from, to });\n    if (zones.length === 0)\n        zones = [{ from, to }]; // we take everything\n    const { internalZones, totalPoints } = getInternalZones(zones, x);\n    // we calculate the number of points per zone that we should keep\n    if (totalPoints <= nbPoints) {\n        return notEnoughPoints(x, y, internalZones, totalPoints);\n    }\n    // need to xyReduce number of points\n    const ratio = nbPoints / totalPoints;\n    let currentTotal = 0;\n    for (let i = 0; i < internalZones.length - 1; i++) {\n        const zone = internalZones[i];\n        zone.nbPoints = Math.round(zone.nbPoints * ratio);\n        currentTotal += zone.nbPoints;\n    }\n    internalZones.at(-1).nbPoints = nbPoints - currentTotal;\n    const newX = [];\n    const newY = [];\n    for (const zone of internalZones) {\n        if (!zone.nbPoints)\n            continue;\n        appendFromTo(zone.fromIndex, zone.toIndex, zone.nbPoints);\n    }\n    return { x: newX, y: newY };\n    /**\n     * AppendFromTo.\n     * @param fromIndex - From.\n     * @param  toIndex - To.\n     * @param zoneNbPoints - NbPoints.\n     */\n    function appendFromTo(fromIndex, toIndex, zoneNbPoints) {\n        if (zoneNbPoints === 1) {\n            newX.push(x[Math.round((toIndex - fromIndex) / 2)]);\n            newY.push(y[Math.round((toIndex - fromIndex) / 2)]);\n            return;\n        }\n        if (zoneNbPoints === 2) {\n            newX.push(x[fromIndex], x[toIndex]);\n            newY.push(y[fromIndex], y[toIndex]);\n            return;\n        }\n        newX.push(x[fromIndex]);\n        newY.push(y[fromIndex]);\n        if (zoneNbPoints % 2 === 0) {\n            zoneNbPoints = zoneNbPoints / 2 + 1;\n        }\n        else {\n            zoneNbPoints = (zoneNbPoints - 1) / 2 + 1;\n        }\n        // we will need to make some kind of min / max because there are too many points\n        // we will always keep the first point and the last point\n        const slot = (x[toIndex] - x[fromIndex]) / (zoneNbPoints - 1);\n        let currentX = x[fromIndex] + slot;\n        let first = true;\n        let minY = Number.POSITIVE_INFINITY;\n        let xyMaxY = Number.NEGATIVE_INFINITY;\n        for (let i = fromIndex + 1; i <= toIndex; i++) {\n            if (first) {\n                minY = y[i];\n                xyMaxY = y[i];\n                first = false;\n            }\n            else {\n                if (y[i] < minY)\n                    minY = y[i];\n                if (y[i] > xyMaxY)\n                    xyMaxY = y[i];\n            }\n            if (x[i] >= currentX || i === toIndex) {\n                if (optimize) {\n                    if (minY > newY[newX.length - 1]) {\n                        // we can skip the intermediate value\n                    }\n                    else if (xyMaxY < newY[newX.length - 1]) {\n                        // we can skip the intermediate value\n                        xyMaxY = minY;\n                    }\n                    else {\n                        newX.push(currentX - slot / 2);\n                        newY.push(minY);\n                    }\n                }\n                else {\n                    newX.push(currentX - slot / 2);\n                    newY.push(minY);\n                }\n                newX.push(currentX);\n                newY.push(xyMaxY);\n                currentX += slot;\n                first = true;\n            }\n        }\n    }\n}\nexport function notEnoughPoints(x, y, internalZones, totalPoints) {\n    const newX = new Float64Array(totalPoints);\n    const newY = new Float64Array(totalPoints);\n    let index = 0;\n    for (const zone of internalZones) {\n        for (let i = zone.fromIndex; i < zone.toIndex + 1; i++) {\n            newX[index] = x[i];\n            newY[index] = y[i];\n            index++;\n        }\n    }\n    return {\n        x: newX,\n        y: newY,\n    };\n}\nexport function getInternalZones(zones, x) {\n    // for each zone we should know the first index, the last index and the number of points\n    const internalZones = [];\n    let totalPoints = 0;\n    for (const zone of zones) {\n        let fromIndex = xFindClosestIndex(x, zone.from);\n        let toIndex = xFindClosestIndex(x, zone.to);\n        if (fromIndex > 0 && x[fromIndex] > zone.from) {\n            fromIndex--;\n        }\n        if (toIndex < x.length - 1 && x[toIndex] < zone.to) {\n            toIndex++;\n        }\n        const nbPoints = toIndex - fromIndex + 1;\n        internalZones.push({\n            from: zone.from,\n            to: zone.to,\n            fromIndex,\n            toIndex,\n            nbPoints,\n        });\n        totalPoints += nbPoints;\n    }\n    return { internalZones, totalPoints };\n}\n//# sourceMappingURL=xyReduce.js.map","import { zonesNormalize } from '../zones';\nimport { xyCheck } from './xyCheck';\nimport { getInternalZones, notEnoughPoints } from './xyReduce';\n/**\n * Reduce the number of points while keeping visually the same noise. Practical to\n * display many spectra as SVG. This algorithm is designed for non-continuous data.\n * We are expecting peaks to be only positive and the x values to be ordered.\n * SHOULD NOT BE USED FOR DATA PROCESSING !!!\n * @param data - Object that contains property x (an ordered increasing array) and y (an array)\n * @param options - options\n * @returns Object with x and y arrays\n */\nexport function xyReduceNonContinuous(data, options = {}) {\n    xyCheck(data);\n    if (data.x.length < 2) {\n        // todo we should check that the single point is really in the range and the zones\n        return {\n            x: Float64Array.from(data.x),\n            y: Float64Array.from(data.y),\n        };\n    }\n    const { x, y } = data;\n    const { from = x[0], to = x.at(-1), maxApproximateNbPoints = 4001, } = options;\n    let { zones = [] } = options;\n    zones = zonesNormalize(zones, { from, to });\n    if (zones.length === 0)\n        zones = [{ from, to }]; // we take everything\n    const { internalZones, totalPoints } = getInternalZones(zones, x);\n    // we calculate the number of points per zone that we should keep\n    if (totalPoints <= maxApproximateNbPoints) {\n        return notEnoughPoints(x, y, internalZones, totalPoints);\n    }\n    const deltaX = (to - from) / (maxApproximateNbPoints - 1);\n    const newX = [];\n    const newY = [];\n    for (const internalZone of internalZones) {\n        const maxNbPoints = Math.ceil((internalZone.to - internalZone.from) / deltaX) + 1;\n        const fromIndex = internalZone.fromIndex;\n        const toIndex = internalZone.toIndex;\n        if (toIndex - fromIndex + 1 <= maxNbPoints) {\n            // we keep all the points\n            for (let i = fromIndex; i <= toIndex; i++) {\n                newX.push(x[i]);\n                newY.push(y[i]);\n            }\n        }\n        else {\n            // we need to reduce the number of points\n            let currentX = x[fromIndex];\n            let currentY = y[fromIndex];\n            let lastX = currentX + deltaX;\n            newX.push(currentX);\n            newY.push(currentY);\n            for (let i = fromIndex; i <= toIndex; i++) {\n                if (x[i] > lastX) {\n                    // next slot\n                    currentX = x[i];\n                    currentY = y[i];\n                    newX.push(currentX);\n                    newY.push(currentY);\n                    lastX += deltaX;\n                }\n                if (y[i] > currentY) {\n                    currentY = y[i];\n                    newY[newY.length - 1] = currentY;\n                }\n            }\n        }\n    }\n    return {\n        x: newX,\n        y: newY,\n    };\n}\n//# sourceMappingURL=xyReduceNonContinuous.js.map","import { xRolling, xRollingAverage } from '../x';\n/**\n * This function calculates a rolling average.\n * This methods will recalculate the x values by using xRollingAverage\n * @param data - array of points {x,y}\n * @param fct - callback function that from an array returns a value.\n * @param options - options\n */\nexport function xyRolling(data, fct, options = {}) {\n    let { x, y } = data;\n    y = xRolling(y, fct, options);\n    if (x.length !== y.length) {\n        x = xRollingAverage(x, options);\n    }\n    return { x, y };\n}\n//# sourceMappingURL=xyRolling.js.map","import { zonesNormalize } from '../zones';\nimport { xyCheck } from './xyCheck';\n/**\n * Set a value (default 0) to specific zones.\n * @param data - Object that contains property x (an ordered increasing array) and y (an array)\n * @param options - options\n * @returns - Array of points\n */\nexport function xySetYValue(data, options = {}) {\n    xyCheck(data);\n    const { x, y } = data;\n    const { value = 0 } = options;\n    let { zones } = options;\n    if (!Array.isArray(zones) || zones.length === 0) {\n        return data;\n    }\n    zones = zonesNormalize(zones);\n    const newX = x.slice();\n    const newY = y.slice();\n    let currentZone = zones[0];\n    let position = 0;\n    loop: for (let i = 0; i < x.length; i++) {\n        while (currentZone.to < x[i]) {\n            position++;\n            currentZone = zones[position];\n            if (!currentZone) {\n                i = x.length;\n                break loop;\n            }\n        }\n        if (x[i] >= currentZone.from) {\n            newY[i] = value;\n        }\n    }\n    return { x: newX, y: newY };\n}\n//# sourceMappingURL=xySetYValue.js.map","import { xIsMonotonic } from '../x';\n/**\n * This function performs a quick sort of the x array while transforming the y array to preserve the coordinates.\n * @param data - Object that contains property x (Array) and y (Array)\n */\nexport function xySortX(data) {\n    const { x, y } = data;\n    if (xIsMonotonic(x) && x.length > 1) {\n        if (x[0] < x[1]) {\n            return {\n                x: Float64Array.from(x),\n                y: Float64Array.from(y),\n            };\n        }\n        else {\n            return {\n                x: Float64Array.from(x).reverse(),\n                y: Float64Array.from(y).reverse(),\n            };\n        }\n    }\n    const xyObject = Array.from(x, (val, index) => ({\n        x: val,\n        y: y[index],\n    })).sort((a, b) => a.x - b.x);\n    const response = {\n        x: new Float64Array(x.length),\n        y: new Float64Array(y.length),\n    };\n    for (let i = 0; i < x.length; i++) {\n        response.x[i] = xyObject[i].x;\n        response.y[i] = xyObject[i].y;\n    }\n    return response;\n}\n//# sourceMappingURL=xySortX.js.map","import { xyCheck } from './xyCheck';\n/**\n * Convert a DataXY to an array of array containing x,y.\n * @param data - array of points {x,y}\n */\nexport function xyToXYArray(data) {\n    xyCheck(data);\n    const { x, y } = data;\n    const objectArray = [];\n    for (let i = 0; i < x.length; i++) {\n        objectArray.push([x[i], y[i]]);\n    }\n    return objectArray;\n}\n//# sourceMappingURL=xyToXYArray.js.map","import { xyCheck } from './xyCheck';\n/**\n * xyToXYObject.\n * @param data - Array of points {x,y}.\n */\nexport function xyToXYObject(data) {\n    xyCheck(data);\n    const { x, y } = data;\n    const objectArray = [];\n    for (let i = 0; i < x.length; i++) {\n        objectArray.push({ x: x[i], y: y[i] });\n    }\n    return objectArray;\n}\n//# sourceMappingURL=xyToXYObject.js.map","import { xyCheck } from './xyCheck';\nimport { xySortX } from './xySortX';\n/**\n * Ensure x values are unique\n * @param data - Object that contains property x (Array) and y (Array)\n * @param options - Object containing a property algorithm (can be 'sum' or 'average', the latter being the default value), and a property isSorted (boolean indicating if the x-array is sorted).\n */\nexport function xyUniqueX(data, options = {}) {\n    xyCheck(data);\n    if (data.x.length === 0) {\n        return { x: [], y: [] };\n    }\n    const { algorithm = 'average', isSorted = true } = options;\n    if (!isSorted) {\n        data = xySortX(data);\n    }\n    switch (algorithm) {\n        case 'average':\n            return average(data);\n        case 'sum':\n            return sum(data);\n        default:\n            throw new Error(`unknown algorithm: ${String(algorithm)}`);\n    }\n}\n/**\n * Average.\n * @param data - Input.\n * @returns Result.\n */\nfunction average(data) {\n    const x = [];\n    const y = [];\n    let cumulativeY = data.y[0];\n    let divider = 1;\n    for (let i = 1; i < data.x.length; i++) {\n        if (!(data.x[i] === data.x[i - 1])) {\n            x.push(data.x[i - 1]);\n            y.push(cumulativeY / divider);\n            cumulativeY = 0;\n            divider = 0;\n        }\n        cumulativeY += data.y[i];\n        divider++;\n    }\n    x.push(data.x.at(-1));\n    y.push(cumulativeY / divider);\n    return { x, y };\n}\n/**\n * Sum.\n * @param data - Input.\n * @returns Result.\n */\nfunction sum(data) {\n    const x = [];\n    const y = [];\n    let cumulativeY = data.y[0];\n    for (let i = 1; i < data.x.length; i++) {\n        if (!(data.x[i] === data.x[i - 1])) {\n            x.push(data.x[i - 1]);\n            y.push(cumulativeY);\n            cumulativeY = 0;\n        }\n        cumulativeY += data.y[i];\n    }\n    x.push(data.x.at(-1));\n    y.push(cumulativeY);\n    return { x, y };\n}\n//# sourceMappingURL=xyUniqueX.js.map","/**\n * Merge abscissas values on similar ordinates and weight the group of abscissas\n * @param data - object containing 2 properties x and y\n * @param options - options\n * @returns array of merged and weighted points\n */\nexport function xyWeightedMerge(data, options = {}) {\n    const { x, y } = data;\n    const { groupWidth = 0.001 } = options;\n    const merged = { x: [], y: [] };\n    const weightedAbscissa = { x: [], y: [] };\n    let size = 0;\n    let index = 0;\n    while (index < x.length) {\n        if (size === 0 || x[index] - merged.x[size - 1] > groupWidth) {\n            weightedAbscissa.x.push(x[index] * y[index]);\n            weightedAbscissa.y.push(y[index]);\n            merged.x.push(x[index]);\n            merged.y.push(y[index]);\n            index++;\n            size++;\n        }\n        else {\n            weightedAbscissa.x[size - 1] += x[index] * y[index];\n            weightedAbscissa.y[size - 1] += y[index];\n            merged.x[size - 1] = x[index];\n            merged.y[size - 1] += y[index];\n            index++;\n        }\n    }\n    for (let i = 0; i < merged.x.length; i++) {\n        merged.x[i] = weightedAbscissa.x[i] / weightedAbscissa.y[i];\n    }\n    return merged;\n}\n//# sourceMappingURL=xyWeightedMerge.js.map","/**\n * Convert an array of XY arrays to a DataXY object containing x,y arrays\n * @param data - array of arrays [[x,y],[x,y],...]\n */\nexport function xy2ToXY(data) {\n    const xy2 = { x: [], y: [] };\n    for (const xyValue of data) {\n        xy2.x.push(xyValue[0]);\n        xy2.y.push(xyValue[1]);\n    }\n    return xy2;\n}\n//# sourceMappingURL=xy2ToXY.js.map","/**\n * Sort object of array, x has to be monotone.\n * @param data - object of kind {x:[], re:[], im:[]}\n * @returns - sorted array\n */\nexport function xreimSortX(data) {\n    const { x, re, im } = data;\n    if (x.length !== re.length || x.length !== im.length) {\n        throw new TypeError('length of x, re and im must be identical');\n    }\n    if (x.length < 2 || x[0] < x[1])\n        return data;\n    return {\n        x: x.slice(0).reverse(),\n        re: re.slice(0).reverse(),\n        im: im.slice(0).reverse(),\n    };\n}\n//# sourceMappingURL=xreimSortX.js.map","/**\n * This function make a zero filling to re and im part.\n * @param data - object of kind {x:[], re:[], im:[]}\n * @param totalLength - final number of points\n * @returns - data.\n */\nexport function xreimZeroFilling(data, totalLength) {\n    const length = data.x.length;\n    if (totalLength === 0 || length === totalLength)\n        return data;\n    if (length > totalLength) {\n        return {\n            x: data.x.slice(0, totalLength),\n            re: data.re.slice(0, totalLength),\n            im: data.im.slice(0, totalLength),\n        };\n    }\n    const x = data.x;\n    const re = data.re;\n    const im = data.im;\n    const newX = new Float64Array(totalLength);\n    const newRE = new Float64Array(totalLength);\n    const newIM = new Float64Array(totalLength);\n    for (let i = 0; i < length; i++) {\n        newX[i] = x[i];\n        newRE[i] = re[i];\n        newIM[i] = im[i];\n    }\n    const deltaX = (x.at(-1) - x[0]) / (length - 1);\n    for (let i = length; i < totalLength; i++) {\n        newX[i] = newX[i - 1] + deltaX;\n    }\n    return {\n        x: newX,\n        re: newRE,\n        im: newIM,\n    };\n}\n//# sourceMappingURL=xreimZeroFilling.js.map","/**\n * GetSlots.\n * @param data - data.\n * @param options - Options.\n */\nexport function getSlots(data, options = {}) {\n    const { delta = 1 } = options;\n    const deltaIsFunction = typeof delta === 'function';\n    const possibleXs = Float64Array.from(data.flatMap((spectrum) => spectrum.x)).sort();\n    if (possibleXs.length === 0) {\n        throw new Error('can not process empty arrays');\n    }\n    let currentSlot = {\n        from: possibleXs[0],\n        to: possibleXs[0],\n        average: possibleXs[0],\n        sum: possibleXs[0],\n        number: 1,\n    };\n    const slots = [currentSlot];\n    for (let i = 1; i < possibleXs.length; i++) {\n        const currentDelta = deltaIsFunction ? delta(possibleXs[i]) : delta;\n        if (possibleXs[i] - currentSlot.to <= currentDelta) {\n            currentSlot.to = possibleXs[i];\n            currentSlot.number++;\n            currentSlot.sum += possibleXs[i];\n            currentSlot.average = currentSlot.sum / currentSlot.number;\n        }\n        else {\n            currentSlot = {\n                from: possibleXs[i],\n                to: possibleXs[i],\n                average: possibleXs[i],\n                sum: possibleXs[i],\n                number: 1,\n            };\n            slots.push(currentSlot);\n        }\n    }\n    return slots;\n}\n//# sourceMappingURL=getSlots.js.map","import { xyJoinX } from '../xy';\nimport { getSlots } from './utils/getSlots';\n/**\n * Aligns data, can be used for spectra\n * @param data - data\n * @param options - Options\n */\nexport function xyArrayAlign(data, options = {}) {\n    const { delta = 1, requiredY = false } = options;\n    data = data.map((spectrum) => xyJoinX(spectrum, { delta }));\n    const slots = getSlots(data, { delta });\n    const x = Float64Array.from(slots.map((slot) => slot.average));\n    const ys = Array.from(data, () => new Float64Array(x.length));\n    const positions = new Uint32Array(data.length);\n    for (let i = 0; i < slots.length; i++) {\n        const slot = slots[i];\n        for (let j = 0; j < data.length; j++) {\n            const spectrum = data[j];\n            while (positions[j] < spectrum.x.length &&\n                spectrum.x[positions[j]] <= slot.to) {\n                ys[j][i] += spectrum.y[positions[j]];\n                positions[j]++;\n            }\n        }\n    }\n    if (requiredY)\n        return filterRequiredY(x, ys);\n    return { x, ys };\n}\nfunction filterRequiredY(x, ys) {\n    const newX = [];\n    const newYs = Array.from(ys, () => []);\n    for (let i = 0; i < x.length; i++) {\n        if (ys.every((y) => y[i] !== 0)) {\n            newX.push(x[i]);\n            for (let j = 0; j < ys.length; j++) {\n                newYs[j].push(ys[j][i]);\n            }\n        }\n    }\n    return { x: newX, ys: newYs };\n}\n//# sourceMappingURL=xyArrayAlign.js.map","/**\n * Merge DataXY\n * We have an array of DataXY and the goal is to merge all the values for which the deltaX is small or equal to delta.\n * X values are weighted average\n * @param data - data\n * @param options - Options\n */\nexport function xyArrayWeightedMerge(data, options = {}) {\n    let { delta = 1 } = options;\n    if (typeof delta === 'number') {\n        const deltaNumber = delta;\n        delta = () => deltaNumber;\n    }\n    data = data.filter((spectrum) => spectrum.x.length > 0);\n    if (data.length === 0)\n        return { x: [], y: [] };\n    const x = [];\n    const y = [];\n    const positions = new Array(data.length).fill(0);\n    const point = { x: 0, y: 0 };\n    nextValue(data, positions, point);\n    const slot = {\n        maxX: point.x + delta(point.x),\n        sumY: point.y,\n        sumXY: point.y * point.x,\n    };\n    while (data.length > 0) {\n        nextValue(data, positions, point);\n        const sameSlot = point.x <= slot.maxX;\n        if (!sameSlot) {\n            if (slot.sumY > 0) {\n                x.push(slot.sumXY / slot.sumY);\n                y.push(slot.sumY);\n            }\n            slot.sumY = 0;\n            slot.sumXY = 0;\n        }\n        slot.sumY += point.y;\n        slot.sumXY += point.x * point.y;\n        slot.maxX = point.x + delta(point.x);\n        if (data.length === 0 && slot.sumY > 0) {\n            x.push(slot.sumXY / slot.sumY);\n            y.push(slot.sumY);\n        }\n    }\n    return { x, y };\n}\n/**\n * NextValue.\n * @param data - data.\n * @param positions - Positions array.\n * @param point - Point.\n */\nfunction nextValue(data, positions, point) {\n    let minIndex = 0;\n    let minX = data[0].x[positions[0]];\n    for (let i = 1; i < data.length; i++) {\n        const currentX = data[i].x[positions[i]];\n        if (currentX < minX) {\n            minX = currentX;\n            minIndex = i;\n        }\n    }\n    point.x = minX;\n    point.y = data[minIndex].y[positions[minIndex]];\n    positions[minIndex]++;\n    if (positions[minIndex] === data[minIndex].x.length) {\n        positions.splice(minIndex, 1);\n        data.splice(minIndex, 1);\n    }\n}\n//# sourceMappingURL=xyArrayWeightedMerge.js.map","import { xyArrayWeightedMerge } from '../xyArrayWeightedMerge';\n/**\n * GetSlotsToFirst.\n * @param data - data.\n * @param options - Options.\n */\nexport function getSlotsToFirst(data, options = {}) {\n    const { delta = 1 } = options;\n    const deltaIsFunction = typeof delta === 'function';\n    const firstXs = data[0].x;\n    const slots = [];\n    // we first create the slots based on the first spectrum\n    for (const element of firstXs) {\n        const currentDelta = deltaIsFunction ? delta(element) : delta;\n        slots.push({\n            from: element - currentDelta,\n            to: element + currentDelta,\n            value: element,\n        });\n    }\n    const otherXs = xyArrayWeightedMerge(data.slice(1), options).x;\n    let currentPosition = 0;\n    for (const slot of slots) {\n        while (otherXs[currentPosition] < slot.to &&\n            currentPosition < otherXs.length) {\n            if (otherXs[currentPosition] < slot.from) {\n                const currentDelta = deltaIsFunction\n                    ? delta(otherXs[currentPosition])\n                    : delta;\n                slots.push({\n                    from: otherXs[currentPosition] - currentDelta,\n                    to: otherXs[currentPosition] + currentDelta,\n                    value: otherXs[currentPosition],\n                });\n            }\n            currentPosition++;\n        }\n    }\n    for (let i = currentPosition; i < otherXs.length; i++) {\n        const currentDelta = deltaIsFunction ? delta(otherXs[i]) : delta;\n        slots.push({\n            from: otherXs[i] - currentDelta,\n            to: otherXs[i] + currentDelta,\n            value: otherXs[i],\n        });\n    }\n    slots.sort((a, b) => a.value - b.value);\n    // we prevent slots overlap in the first spectrum\n    for (let i = 0; i < slots.length - 1; i++) {\n        if (slots[i].to > slots[i + 1].from) {\n            const middle = (slots[i].value + slots[i + 1].value) / 2;\n            slots[i].to = middle;\n            slots[i + 1].from = middle;\n        }\n    }\n    return slots;\n}\n//# sourceMappingURL=getSlotsToFirst.js.map","import { getSlotsToFirst } from './utils/getSlotsToFirst';\n/**\n * We align all the data/spectra to the first array of X.\n * The alignment is based on the X values of the first spectrum and the `delta` error allowed.\n * If some x values are missing in the first spectrum we will add them\n * @param data - data\n * @param options - options\n */\nexport function xyArrayAlignToFirst(data, options = {}) {\n    const { delta = 1 } = options;\n    const slots = getSlotsToFirst(data, { delta });\n    const x = Float64Array.from(slots.map((slot) => slot.value));\n    const ys = Array.from(data, () => new Float64Array(x.length));\n    const positions = new Uint32Array(data.length);\n    for (let i = 0; i < slots.length; i++) {\n        const slot = slots[i];\n        for (let j = 0; j < data.length; j++) {\n            const spectrum = data[j];\n            while (positions[j] < spectrum.x.length &&\n                spectrum.x[positions[j]] < slot.to) {\n                ys[j][i] += spectrum.y[positions[j]];\n                positions[j]++;\n            }\n        }\n    }\n    return { x, ys };\n}\n//# sourceMappingURL=xyArrayAlignToFirst.js.map","import { xyJoinX } from '../xy';\nimport { getSlots } from './utils/getSlots';\n/**\n * Merge DataXY\n * We have an array of DataXY and the goal is to merge all the values that are the closest possible\n * @param data - data\n * @param options - Options\n */\nexport function xyArrayMerge(data, options = {}) {\n    const { delta = 1 } = options;\n    // We start by checking that the data/spectra don't have peaks too close and we simplify them.\n    data = data.map((spectrum) => xyJoinX(spectrum, { delta }));\n    // At first, we will calculate the X values (simple mean).\n    const slots = getSlots(data, { delta });\n    const x = Float64Array.from(slots.map((slot) => slot.average));\n    const y = new Float64Array(x.length);\n    const positions = new Uint32Array(data.length);\n    for (let i = 0; i < slots.length; i++) {\n        const slot = slots[i];\n        for (let j = 0; j < data.length; j++) {\n            const spectrum = data[j];\n            while (positions[j] < spectrum.x.length &&\n                spectrum.x[positions[j]] <= slot.to) {\n                y[i] += spectrum.y[positions[j]];\n                positions[j]++;\n            }\n        }\n    }\n    return { x, y };\n}\n//# sourceMappingURL=xyArrayMerge.js.map","/**\n * Throws an error if it's not an array of x,y objects.\n * Only checks the first element.\n * @param points - List of points.\n * @param options - Additional checks.\n */\nexport function xyObjectCheck(points, options = {}) {\n    const { minLength = 0 } = options;\n    if (!Array.isArray(points)) {\n        throw new Error('points must be an array of {x,y} objects');\n    }\n    if (points.length > 0 &&\n        (typeof points[0].x !== 'number' || typeof points[0].y !== 'number')) {\n        throw new Error('points must be an array of {x,y} objects');\n    }\n    if (minLength && points.length < minLength) {\n        throw new Error(`points must have a length of at least ${minLength}`);\n    }\n}\n//# sourceMappingURL=xyObjectCheck.js.map","import { xyObjectCheck } from './xyObjectCheck';\n/**\n * Finds the max x value and return a {x,y,index} point\n * @param points - Object that contains property x (an ordered increasing array) and y (an array)\n */\nexport function xyObjectMaxXPoint(points = []) {\n    xyObjectCheck(points);\n    if (points.length === 0)\n        return { x: 0, y: 0 };\n    let current = {\n        x: points[0].x,\n        y: points[0].y,\n        index: 0,\n    };\n    for (let i = 1; i < points.length; i++) {\n        if (points[i].x > current.x) {\n            current = {\n                x: points[i].x,\n                y: points[i].y,\n                index: i,\n            };\n        }\n    }\n    return current;\n}\n//# sourceMappingURL=xyObjectMaxXPoint.js.map","import { xyObjectCheck } from './xyObjectCheck';\n/**\n * Finds the min x value and return a {x,y,index} point\n * @param points - Object that contains property x (an ordered increasing array) and y (an array)\n */\nexport function xyObjectMinXPoint(points = []) {\n    xyObjectCheck(points);\n    if (points.length === 0)\n        return { x: 0, y: 0 };\n    let current = {\n        x: points[0].x,\n        y: points[0].y,\n        index: 0,\n    };\n    for (let i = 1; i < points.length; i++) {\n        if (points[i].x < current.x) {\n            current = {\n                x: points[i].x,\n                y: points[i].y,\n                index: i,\n            };\n        }\n    }\n    return current;\n}\n//# sourceMappingURL=xyObjectMinXPoint.js.map","import { xyObjectMaxXPoint } from './xyObjectMaxXPoint';\nimport { xyObjectMinXPoint } from './xyObjectMinXPoint';\n/**\n * Filter the array by taking the higher points (max y value) and only.\n * Keep one per slot. There are 2 different slots, the smallest one will have the\n * new property `close` to true\n * @param points - array of all the points\n * @param options - Options\n * @returns - copy of points with 'close' property\n */\nexport function xyObjectBestPoints(points, options = {}) {\n    const { from = xyObjectMinXPoint(points).x, to = xyObjectMaxXPoint(points).x, limit = 20, threshold = 0.01, numberCloseSlots = 50, numberSlots = 10, } = options;\n    const slot = (to - from) / numberSlots;\n    const closeSlot = (to - from) / numberCloseSlots;\n    let selected = points\n        .filter((point) => point.x >= from && point.x <= to)\n        .map((point) => {\n        return {\n            point,\n            monoisotopic: false,\n        };\n    });\n    selected = selected.sort((a, b) => {\n        if (a.monoisotopic && !b.monoisotopic)\n            return -1;\n        if (b.monoisotopic && !a.monoisotopic)\n            return 1;\n        return b.point.y - a.point.y;\n    });\n    const toReturn = [];\n    if (selected.length === 0)\n        return [];\n    const minY = selected[0].point.y * threshold;\n    peakLoop: for (const item of selected) {\n        if (item.point.y < minY) {\n            if (item.monoisotopic) {\n                continue;\n            }\n            else {\n                break;\n            }\n        }\n        let close = false;\n        for (const existing of toReturn) {\n            if (Math.abs(existing.x - item.point.x) < closeSlot) {\n                continue peakLoop;\n            }\n            if (Math.abs(existing.x - item.point.x) < slot) {\n                close = true;\n            }\n        }\n        const newPeak = { ...item.point, close };\n        toReturn.push(newPeak);\n        if (toReturn.length === limit)\n            break;\n    }\n    return toReturn.sort((a, b) => a.x - b.x);\n}\n//# sourceMappingURL=xyObjectBestPoints.js.map","/**\n * xyObjectJoinX.\n * @param points - Array of growing points {x,y}.\n * @param options - Options.\n */\nexport function xyObjectJoinX(points, options = {}) {\n    const { xError = Number.EPSILON } = options;\n    // when we join we will use the center of mass\n    const result = [];\n    let current = {\n        x: Number.MIN_SAFE_INTEGER,\n        y: 0,\n    };\n    for (const point of points) {\n        if (point.x - current.x <= xError) {\n            // weighted sum\n            if (current.y !== 0 || point.y !== 0) {\n                current.x =\n                    (point.y / (current.y + point.y)) * (point.x - current.x) + current.x;\n                current.y += point.y;\n            }\n        }\n        else {\n            current = {\n                x: point.x,\n                y: point.y,\n            };\n            result.push(current);\n        }\n    }\n    return result;\n}\n//# sourceMappingURL=xyObjectJoinX.js.map","import { xyObjectCheck } from './xyObjectCheck';\n/**\n * Finds the max y value and return a {x,y,index} point\n * @param points - Object that contains property x (an ordered increasing array) and y (an array)\n * @returns max point\n */\nexport function xyObjectMaxYPoint(points = []) {\n    xyObjectCheck(points);\n    if (points.length === 0)\n        return { x: 0, y: 0 };\n    let current = {\n        x: points[0].x,\n        y: points[0].y,\n        index: 0,\n    };\n    for (let i = 1; i < points.length; i++) {\n        if (points[i].y > current.y) {\n            current = {\n                x: points[i].x,\n                y: points[i].y,\n                index: i,\n            };\n        }\n    }\n    return current;\n}\n//# sourceMappingURL=xyObjectMaxYPoint.js.map","import { xyObjectCheck } from './xyObjectCheck';\n/**\n * Returns all min and max values of an array of points.\n * @param points - Array of points {x,y}.\n * @returns - Object with the 4 extrema.\n */\nexport function xyObjectMinMaxValues(points) {\n    xyObjectCheck(points, { minLength: 1 });\n    let minX = points[0].x;\n    let maxX = minX;\n    let minY = points[0].y;\n    let maxY = minY;\n    for (const point of points) {\n        if (point.x < minX)\n            minX = point.x;\n        if (point.x > maxX)\n            maxX = point.x;\n        if (point.y < minY)\n            minY = point.y;\n        if (point.y > maxY)\n            maxY = point.y;\n    }\n    return { minX, maxX, minY, maxY };\n}\n//# sourceMappingURL=xyObjectMinMaxValues.js.map","import { xyObjectCheck } from './xyObjectCheck';\n/**\n * Finds the min y value and return a {x,y,index} point\n * @param points - Object that contains property x (an ordered increasing array) and y (an array)\n */\nexport function xyObjectMinYPoint(points = []) {\n    xyObjectCheck(points);\n    if (points.length === 0)\n        return { x: 0, y: 0 };\n    let current = {\n        x: points[0].x,\n        y: points[0].y,\n        index: 0,\n    };\n    for (let i = 1; i < points.length; i++) {\n        if (points[i].y < current.y) {\n            current = {\n                x: points[i].x,\n                y: points[i].y,\n                index: i,\n            };\n        }\n    }\n    return current;\n}\n//# sourceMappingURL=xyObjectMinYPoint.js.map","/**\n * xyObjectSlotX\n * @param points - Array of growing points {x,y}.\n * @param options - Options.\n */\nexport function xyObjectSlotX(points, options = {}) {\n    const { slotWidth = 1 } = options;\n    const halfSlot = slotWidth / 2;\n    // when we join we will use the center of mass\n    const result = [];\n    let current = {\n        x: Number.NEGATIVE_INFINITY,\n        y: 0,\n    };\n    for (const point of points) {\n        const slot = point.x - ((point.x + halfSlot) % slotWidth) + halfSlot;\n        if (Math.abs(current.x - slot) > Number.EPSILON) {\n            current = {\n                x: slot,\n                y: 0,\n            };\n            result.push(current);\n        }\n        current.y += point.y;\n    }\n    return result;\n}\n//# sourceMappingURL=xyObjectSlotX.js.map","/**\n * Sorts an array of points in-place.\n * @param points - array of points {x,y}\n * @returns - sorted array of points {x,y}\n */\nexport function xyObjectSortX(points) {\n    return points.sort((a, b) => a.x - b.x);\n}\n//# sourceMappingURL=xyObjectSortX.js.map","import { xyObjectCheck } from './xyObjectCheck';\n/**\n * Calculate the sum of Y values.\n * @param points - Object that contains property x and y (an array)\n */\nexport function xyObjectSumY(points = []) {\n    xyObjectCheck(points);\n    let sum = 0;\n    for (const point of points) {\n        sum += point.y;\n    }\n    return sum;\n}\n//# sourceMappingURL=xyObjectSumY.js.map","/**\n * xyObjectToXY.\n * @param points - Array of points {x,y}.\n */\nexport function xyObjectToXY(points) {\n    return {\n        x: points.map((entry) => entry.x),\n        y: points.map((entry) => entry.y),\n    };\n}\n//# sourceMappingURL=xyObjectToXY.js.map","import { xMedian } from '../x';\n/**\n * Returns the median of the absolute matrix.\n * @param matrix\n */\nexport function matrixAbsoluteMedian(matrix) {\n    const nbColumns = matrix[0].length;\n    const flatten = new Float64Array(matrix.length * nbColumns);\n    for (let row = 0; row < matrix.length; row++) {\n        const currentRow = row * nbColumns;\n        for (let column = 0; column < nbColumns; column++) {\n            const value = matrix[row][column];\n            flatten[currentRow + column] = Math.abs(value);\n        }\n    }\n    return xMedian(flatten);\n}\n//# sourceMappingURL=matrixAbsoluteMedian.js.map","import { createNumberArray } from '../utils';\n/**\n * Create a new matrix based on the size of the current one or by using specific dimensions.\n * @param options\n */\nexport function matrixCreateEmpty(options) {\n    const { matrix, nbRows = matrix?.length || 1, nbColumns = matrix?.[0].length || 1, ArrayConstructor = Float64Array, } = options;\n    const newMatrix = [];\n    for (let row = 0; row < nbRows; row++) {\n        newMatrix.push(createNumberArray(ArrayConstructor, nbColumns));\n    }\n    return newMatrix;\n}\n//# sourceMappingURL=matrixCreateEmpty.js.map","import { xMaxValue } from '../x';\nimport { matrixCreateEmpty } from './matrixCreateEmpty';\n/**\n * Numerically encodes the strings in the matrix with an encoding dictionary.\n * @param matrixInitial - Original matrix before encoding.\n * @param dictionary - Dictionary against which to do the encoding.\n * @returns - Encoded matrix.\n */\nexport function matrixApplyNumericalEncoding(matrixInitial, dictionary) {\n    const matrix = matrixCreateEmpty({\n        nbRows: matrixInitial.length,\n        nbColumns: matrixInitial[0].length,\n        ArrayConstructor: Array,\n    });\n    const arrayOfValues = [];\n    for (const key in dictionary) {\n        arrayOfValues.push(dictionary[key]);\n    }\n    let k = xMaxValue(arrayOfValues);\n    for (let i = 0; i < matrix.length; i++) {\n        for (let j = 0; j < matrix[0].length; j++) {\n            if (typeof matrix[i][j] === 'string') {\n                if (matrix[i][j] in dictionary) {\n                    matrix[i][j] = dictionary[matrix[i][j]];\n                }\n                else {\n                    k++;\n                    dictionary[matrix[i][j]] = k;\n                    matrix[i][j] = k;\n                }\n            }\n        }\n    }\n    return matrix;\n}\n//# sourceMappingURL=matrixApplyNumericalEncoding.js.map","import { xCorrelation } from '../x';\nexport function matrixAutoCorrelation(matrix, index = 0) {\n    const nbRows = matrix.length;\n    const nbColumns = matrix[0].length;\n    if (nbRows < 2) {\n        throw new Error('can not calculate info if matrix contains less than 2 rows');\n    }\n    const targetArray = new Float64Array(nbRows);\n    const sourceArray = new Float64Array(nbRows);\n    const result = new Float64Array(nbColumns);\n    for (let j = 0; j < nbRows; j++) {\n        targetArray[j] = matrix[j][index];\n    }\n    for (let i = 0; i < nbColumns; i++) {\n        for (let j = 0; j < nbRows; j++) {\n            sourceArray[j] = matrix[j][i];\n        }\n        result[i] = xCorrelation(targetArray, sourceArray);\n    }\n    return result;\n}\n//# sourceMappingURL=matrixAutoCorrelation.js.map","export function matrixBoxPlot(matrix) {\n    const nbRows = matrix.length;\n    const nbColumns = matrix[0].length;\n    if (nbRows < 5) {\n        throw new Error('can not calculate info if matrix contains less than 5 rows');\n    }\n    const info = {\n        q1: new Float64Array(nbColumns),\n        median: new Float64Array(nbColumns),\n        q3: new Float64Array(nbColumns),\n        min: Float64Array.from(matrix[0]),\n        max: Float64Array.from(matrix.at(-1)),\n    };\n    const columnArray = new Float64Array(matrix.length);\n    for (let column = 0; column < nbColumns; column++) {\n        for (let row = 0; row < nbRows; row++) {\n            columnArray[row] = matrix[row][column];\n        }\n        let q1max = 0;\n        let q3min = 0;\n        if (nbRows % 2 === 1) {\n            // odd\n            const middle = (nbRows - 1) / 2;\n            info.median[column] = columnArray[middle];\n            q1max = middle - 1;\n            q3min = middle + 1;\n        }\n        else {\n            // even\n            q3min = nbRows / 2;\n            q1max = q3min - 1;\n            info.median[column] = (columnArray[q1max] + columnArray[q3min]) / 2;\n        }\n        if (q1max % 2 === 0) {\n            info.q1[column] = columnArray[q1max / 2];\n            info.q3[column] = columnArray[(nbRows + q3min - 1) / 2];\n        }\n        else {\n            info.q1[column] =\n                (columnArray[(q1max + 1) / 2] + columnArray[(q1max - 1) / 2]) / 2;\n            const middleOver = (columnArray.length + q3min) / 2;\n            info.q3[column] =\n                (columnArray[middleOver] + columnArray[middleOver - 1]) / 2;\n        }\n    }\n    return info;\n}\n//# sourceMappingURL=matrixBoxPlot.js.map","import { matrixCreateEmpty } from './matrixCreateEmpty';\n/**\n * Center mean of matrix columns.\n * @param matrix - matrix [rows][cols]\n */\nexport function matrixCenterZMean(matrix) {\n    const nbColumns = matrix[0].length;\n    const nbRows = matrix.length;\n    const newMatrix = matrixCreateEmpty({ nbColumns, nbRows });\n    for (let column = 0; column < nbColumns; column++) {\n        let mean = 0;\n        for (let row = 0; row < nbRows; row++) {\n            mean += matrix[row][column];\n        }\n        mean /= nbRows;\n        for (let row = 0; row < nbRows; row++) {\n            newMatrix[row][column] = matrix[row][column] - mean;\n        }\n    }\n    return newMatrix;\n}\n//# sourceMappingURL=matrixCenterZMean.js.map","export function matrixCheck(data) {\n    if (data.length === 0 || data[0].length === 0) {\n        throw new RangeError('matrix must contain data');\n    }\n    const firstLength = data[0].length;\n    for (let i = 1; i < data.length; i++) {\n        if (data[i].length !== firstLength) {\n            throw new RangeError('all rows must has the same length');\n        }\n    }\n}\n//# sourceMappingURL=matrixCheck.js.map","/**\n * Clone a matrix.\n * @param matrix\n */\nexport function matrixClone(matrix) {\n    return matrix.map((row) => row.slice(0));\n}\n//# sourceMappingURL=matrixClone.js.map","import { Matrix } from 'ml-matrix';\nimport { xCorrelation } from '../x';\n/**\n * Calculates a correlation matrix based on the columns of the initial matrix.\n * @param A - matrix [rows][cols]\n */\nexport function matrixColumnsCorrelation(A) {\n    const B = new Matrix(A).transpose();\n    const result = [];\n    for (let i = 0; i < B.rows; i++) {\n        result.push(new Float64Array(B.rows));\n    }\n    for (let i = 0; i < B.rows; i++) {\n        for (let j = i; j < B.rows; j++) {\n            const correlation = xCorrelation(B.getRow(i), B.getRow(j));\n            result[i][j] = correlation;\n            result[j][i] = correlation;\n        }\n    }\n    return result;\n}\n//# sourceMappingURL=matrixColumnsCorrelation.js.map","/**\n * The MIT License (MIT)\n *\n * Copyright (c) 2013 Mikola Lysenko\n *\n * Permission is hereby granted, free of charge, to any person obtaining a copy\n * of this software and associated documentation files (the \"Software\"), to deal\n * in the Software without restriction, including without limitation the rights\n * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell\n * copies of the Software, and to permit persons to whom the Software is\n * furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE\n * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,\n * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN\n * THE SOFTWARE.\n */\n/**\n * The reverse Cuthill-Mckee method is a fast and effective preconditioner for reducing the bandwidth of sparse linear systems.\n * When solving a positive semidefinite linear system using Cholesky factorization, it greatly reduces fill-in.\n * It is a direct conversion to TS from {@link github.com/mikolalysenko/cuthill-mckee}\n * @param list - lower triangular non zeros from a symmetric sparse matrix.\n * @param dimension - matrix dimension\n * @returns A Float64Array where the value at each index represents the new position of the node\n *          in the bandwidth-reduced ordering.\n */\nexport function matrixCuthillMckee(list, dimension) {\n    const adj = new Array(dimension);\n    const visited = new Array(dimension).fill(false);\n    for (let i = 0; i < dimension; ++i) {\n        adj[i] = [];\n    }\n    for (const l of list) {\n        adj[l[0]].push(l[1]);\n    }\n    const toVisit = new Float64Array(dimension);\n    let eol = 0;\n    let ptr = 0;\n    for (let i = 0; i < dimension; ++i) {\n        if (visited[i]) {\n            continue;\n        }\n        toVisit[eol++] = i;\n        visited[i] = true;\n        while (ptr < eol) {\n            const v = toVisit[ptr++];\n            const nbhd = Float64Array.from(adj[v]).sort();\n            for (const u of nbhd) {\n                if (visited[u]) {\n                    continue;\n                }\n                visited[u] = true;\n                toVisit[eol++] = u;\n            }\n        }\n    }\n    const result = new Float64Array(dimension);\n    for (let i = 0; i < dimension; ++i) {\n        result[toVisit[i]] = i;\n    }\n    return result;\n}\n//# sourceMappingURL=matrixCuthillMckee.js.map","/**\n * Checks if the specified submatrix boundaries are within the valid range of the given matrix.\n * @param matrix - The matrix to check the boundaries against.\n * @param boundaries - The boundaries of the submatrix.\n * @throws {RangeError} If any of the specified boundaries are out of the matrix's range.\n */\nexport function matrixCheckRanges(matrix, boundaries) {\n    const { startRow, endRow, startColumn, endColumn } = boundaries;\n    if (startRow > endRow ||\n        startColumn > endColumn ||\n        startRow < 0 ||\n        startRow >= matrix.length ||\n        endRow < 0 ||\n        endRow >= matrix.length ||\n        startColumn < 0 ||\n        startColumn >= matrix[0].length ||\n        endColumn < 0 ||\n        endColumn >= matrix[0].length) {\n        throw new RangeError('submatrix indices are out of range');\n    }\n}\n//# sourceMappingURL=matrixCheckRanges.js.map","import { matrixCheckRanges } from './matrixCheckRanges';\n/**\n * Get a subMatrix from matrix, the function checks if the subMatrix\n * lies within the dimensions of the matrix.\n * @param matrix - The original matrix from which the subMatrix will be extracted.\n * @param options - Options to define the subMatrix boundaries and duplication behavior.\n * @returns The subMatrix extracted from the original matrix.\n */\nexport function matrixGetSubMatrix(matrix, options) {\n    const { startRow = 0, endRow = matrix.length - 1, startColumn = 0, endColumn = matrix[0].length - 1, duplicate = true, } = options;\n    matrixCheckRanges(matrix, { startColumn, startRow, endColumn, endRow });\n    const nbRows = endRow - startRow + 1;\n    const subMatrix = [];\n    if (duplicate) {\n        for (let i = 0; i < nbRows; i++) {\n            subMatrix.push(matrix[startRow + i].slice(startColumn, endColumn + 1));\n        }\n    }\n    else {\n        for (let i = 0; i < nbRows; i++) {\n            subMatrix.push(matrix[startRow + i].subarray(startColumn, endColumn + 1));\n        }\n    }\n    return subMatrix;\n}\n//# sourceMappingURL=matrixGetSubMatrix.js.map","/**\n * Get min and max of the absolute values of Z.\n * @param matrix - matrix [rows][cols].\n */\nexport function matrixMinMaxAbsoluteZ(matrix) {\n    if (matrix.length === 0 || matrix[0].length === 0) {\n        throw new Error('matrixMinMaxAbsoluteZ requires at least 1 row and 1 column');\n    }\n    const nbRows = matrix.length;\n    const nbColumns = matrix[0].length;\n    let min = Number.POSITIVE_INFINITY;\n    let max = Number.NEGATIVE_INFINITY;\n    for (let column = 0; column < nbColumns; column++) {\n        for (let row = 0; row < nbRows; row++) {\n            let value = matrix[row][column];\n            if (value < 0)\n                value *= -1;\n            if (value < min)\n                min = value;\n            if (value > max)\n                max = value;\n        }\n    }\n    return { min, max };\n}\n//# sourceMappingURL=matrixMinMaxAbsoluteZ.js.map","import { matrixCheck } from './matrixCheck';\n/**\n * Get min and max Z.\n * @param matrix - matrix [rows][cols].\n */\nexport function matrixMinMaxZ(matrix) {\n    matrixCheck(matrix);\n    const nbRows = matrix.length;\n    const nbColumns = matrix[0].length;\n    let min = matrix[0][0];\n    let max = matrix[0][0];\n    for (let column = 0; column < nbColumns; column++) {\n        for (let row = 0; row < nbRows; row++) {\n            if (matrix[row][column] < min)\n                min = matrix[row][column];\n            if (matrix[row][column] > max)\n                max = matrix[row][column];\n        }\n    }\n    return { min, max };\n}\n//# sourceMappingURL=matrixMinMaxZ.js.map","import { xHistogram } from '../x';\nimport { matrixMinMaxAbsoluteZ } from './matrixMinMaxAbsoluteZ';\nimport { matrixMinMaxZ } from './matrixMinMaxZ';\n/**\n * Calculates a histogram of defined number of slots.\n * @param matrix - matrix [rows][cols].\n * @param options - options\n * @returns - Result of the histogram.\n */\nexport function matrixHistogram(matrix, options = {}) {\n    let { min, max } = options;\n    const { absolute, logBaseX, logBaseY, histogram, nbSlots, centerX } = options;\n    if (matrix.length === 0 || matrix[0].length === 0) {\n        throw new Error('matrix must have at least one column and one row');\n    }\n    if (min === undefined || max === undefined) {\n        const minMax = absolute\n            ? matrixMinMaxAbsoluteZ(matrix)\n            : matrixMinMaxZ(matrix);\n        if (min === undefined) {\n            min =\n                logBaseX && minMax.min\n                    ? Math.log(minMax.min) / Math.log(logBaseX)\n                    : minMax.min;\n        }\n        if (max === undefined) {\n            max =\n                logBaseX && minMax.max\n                    ? Math.log(minMax.max) / Math.log(logBaseX)\n                    : minMax.max;\n        }\n    }\n    const xHistogramOptions = {\n        histogram,\n        nbSlots,\n        centerX,\n        absolute,\n        logBaseX,\n        // Skip logBaseY as it's handled below.\n        min,\n        max,\n    };\n    const finalHistogram = xHistogram(matrix[0], xHistogramOptions);\n    xHistogramOptions.histogram = finalHistogram;\n    const nbRows = matrix.length;\n    for (let row = 1; row < nbRows; row++) {\n        xHistogram(matrix[row], xHistogramOptions);\n    }\n    const y = finalHistogram.y;\n    if (logBaseY) {\n        const logOfBase = Math.log10(logBaseY);\n        for (let i = 0; i < y.length; i++) {\n            y[i] = Math.log10(y[i] + 1) / logOfBase;\n        }\n    }\n    return finalHistogram;\n}\n//# sourceMappingURL=matrixHistogram.js.map","/**\n * Returns the max absolute values of Z.\n * @param matrix - matrix [rows][cols].\n */\nexport function matrixMaxAbsoluteZ(matrix) {\n    if (matrix.length === 0 || matrix[0].length === 0) {\n        throw new Error('matrix must have at least 1 row and 1 column');\n    }\n    const nbRows = matrix.length;\n    const nbColumns = matrix[0].length;\n    let max = Number.NEGATIVE_INFINITY;\n    for (let column = 0; column < nbColumns; column++) {\n        for (let row = 0; row < nbRows; row++) {\n            const value = Math.abs(matrix[row][column]);\n            if (value > max)\n                max = value;\n        }\n    }\n    return max;\n}\n//# sourceMappingURL=matrixMaxAbsoluteZ.js.map","import { matrixCheck } from './matrixCheck';\n/**\n * Convert a matrix to a flat Float64Array.\n * @param matrix\n */\nexport function matrixToArray(matrix) {\n    matrixCheck(matrix);\n    const nbColumns = matrix[0].length;\n    const flatten = new Float64Array(matrix.length * nbColumns);\n    for (let row = 0; row < matrix.length; row++) {\n        const currentRow = row * nbColumns;\n        for (let column = 0; column < nbColumns; column++) {\n            flatten[currentRow + column] = matrix[row][column];\n        }\n    }\n    return flatten;\n}\n//# sourceMappingURL=matrixToArray.js.map","import { xMedian } from '../x';\nimport { matrixToArray } from './matrixToArray';\n/**\n * Returns the median of the matrix.\n * @param matrix\n */\nexport function matrixMedian(matrix) {\n    return xMedian(matrixToArray(matrix));\n}\n//# sourceMappingURL=matrixMedian.js.map","import { xNoiseStandardDeviation } from '../x';\nimport { matrixToArray } from './matrixToArray';\n/**\n * Determine noise level using MAD https://en.wikipedia.org/wiki/Median_absolute_deviation\n * Constant to convert mad to sd calculated using https://www.wolframalpha.com/input?i=sqrt%282%29+inverse+erf%280.5%29\n * This assumes a gaussian distribution of the noise.\n * @param matrix\n * @returns Noise level corresponding to one standard deviation.\n */\nexport function matrixNoiseStandardDeviation(matrix) {\n    return xNoiseStandardDeviation(matrixToArray(matrix));\n}\n//# sourceMappingURL=matrixNoiseStandardDeviation.js.map","import { matrixClone } from './matrixClone';\n/**\n * Numerically decodes the matrix using the dictionary.\n * @param matrixInitial\n * @param dictionary - dictionary against which to do the encoding\n * @returns - decoded matrix\n */\nexport function matrixNumericalDecoding(matrixInitial, dictionary) {\n    const matrix = matrixClone(matrixInitial);\n    const invertedDictionary = swap(dictionary);\n    for (let i = 0; i < matrix.length; i++) {\n        for (let j = 0; j < matrix[0].length; j++) {\n            const value = matrix[i][j];\n            if (typeof value === 'number' && value in invertedDictionary) {\n                matrix[i][j] = invertedDictionary[value];\n            }\n        }\n    }\n    return matrix;\n}\nfunction swap(dictionary) {\n    const ret = {};\n    for (const key in dictionary) {\n        ret[dictionary[key]] = key;\n    }\n    return ret;\n}\n//# sourceMappingURL=matrixNumericalDecoding.js.map","import { matrixClone } from './matrixClone';\n/**\n * Numerically encodes the strings in the matrix and returns an encoding dictionary which can be used to encode other matrices\n * @param matrixInitial - original matrix before encoding\n * @returns - dictionary from string to number\n */\nexport function matrixNumericalEncoding(matrixInitial) {\n    const matrix = matrixClone(matrixInitial);\n    const nRows = matrix.length;\n    const nColumns = matrix[0].length;\n    let k = 0;\n    for (let i = 0; i < nRows; i++) {\n        for (let j = 0; j < nColumns; j++) {\n            const value = matrix[i][j];\n            if (typeof value === 'number' && value > k) {\n                k = value;\n            }\n        }\n    }\n    const dictCategoricalToNumerical = {};\n    for (let i = 0; i < nRows; i++) {\n        for (let j = 0; j < nColumns; j++) {\n            const value = matrix[i][j];\n            if (typeof value === 'string') {\n                if (value in dictCategoricalToNumerical) {\n                    matrix[i][j] = dictCategoricalToNumerical[value];\n                }\n                else {\n                    k++;\n                    dictCategoricalToNumerical[value] = k;\n                    matrix[i][j] = k;\n                }\n            }\n        }\n    }\n    return { matrix: matrix, dictCategoricalToNumerical };\n}\n//# sourceMappingURL=matrixNumericalEncoding.js.map","import { Matrix } from 'ml-matrix';\nimport { xMedian } from '../x';\n/**\n * Performs a Probabilistic quotient normalization (PQN) over the dataset to account dilution based in median spectrum.\n * Dieterle, F., Ross, A., Schlotterbeck, G., & Senn, H. (2006). Probabilistic quotient normalization as robust method to account for dilution of complex biological mixtures. Application in 1H NMR metabonomics. Analytical chemistry, 78(13), 4281-4290.\n * DOI: 10.1021/ac051632c\n * @param matrix - matrix [rows][cols].\n * @param options - options\n * @returns - {data: Normalized dataset, medianOfQuotients: The median of quotients of each variables}\n */\nexport function matrixPQN(matrix, options = {}) {\n    const { max = 100 } = options;\n    const matrixB = new Matrix(matrix);\n    for (let i = 0; i < matrixB.rows; i++) {\n        const normalizationFactor = matrixB.getRowVector(i).norm('frobenius') / max;\n        const row = matrixB.getRowVector(i).div(normalizationFactor);\n        matrixB.setRow(i, row);\n    }\n    const referenceSpectrum = [];\n    for (let i = 0; i < matrixB.columns; i++) {\n        const currentVariable = matrixB.getColumn(i);\n        referenceSpectrum.push(xMedian(currentVariable));\n    }\n    const medianOfQuotients = [];\n    for (let i = 0; i < matrixB.columns; i++) {\n        const quotients = matrixB.getColumnVector(i).div(referenceSpectrum[i]);\n        medianOfQuotients.push(xMedian(quotients.getColumn(0)));\n    }\n    for (let i = 0; i < matrixB.rows; i++) {\n        matrixB.mulRow(i, 1 / medianOfQuotients[i]);\n    }\n    return {\n        data: matrixB.to2DArray(),\n        medianOfQuotients,\n    };\n}\n//# sourceMappingURL=matrixPQN.js.map","import { matrixCheckRanges } from './matrixCheckRanges';\n/**\n * Set in-place a subMatrix to matrix, the function check if the subMatrix\n * lies into the dimensions of matrix.\n * @param matrix - matrix that will receive the new element values.\n * @param subMatrix - matrix with equal or less size than matrix.\n * @param startRow - row index in matrix for the first row in subMatrix.\n * @param startColumn - column index in matrix for the first column in subMatrix.\n * @returns The modified `matrix`.\n */\nexport function matrixSetSubMatrix(matrix, subMatrix, startRow, startColumn) {\n    const endRow = startRow + subMatrix.length - 1;\n    const endColumn = startColumn + subMatrix[0].length - 1;\n    matrixCheckRanges(matrix, { startRow, endRow, startColumn, endColumn });\n    for (let i = 0; i < subMatrix.length; i++) {\n        for (let j = 0; j < subMatrix[0].length; j++) {\n            matrix[startRow + i][startColumn + j] = subMatrix[i][j];\n        }\n    }\n    return matrix;\n}\n//# sourceMappingURL=matrixSetSubMatrix.js.map","import { matrixCreateEmpty } from './matrixCreateEmpty';\nimport { matrixMaxAbsoluteZ } from './matrixMaxAbsoluteZ';\n/**\n * Rescale a matrix around 0 taking into account the absolute max value.\n * @param matrix - matrix [rows][cols].\n * @param options - Options.\n */\nexport function matrixZPivotRescale(matrix, options = {}) {\n    const { max = 1, ArrayConstructor } = options;\n    const nbColumns = matrix[0].length;\n    const nbRows = matrix.length;\n    const newMatrix = matrixCreateEmpty({ nbColumns, nbRows, ArrayConstructor });\n    const currentMax = matrixMaxAbsoluteZ(matrix);\n    for (let column = 0; column < nbColumns; column++) {\n        const factor = max / currentMax;\n        for (let row = 0; row < nbRows; row++) {\n            newMatrix[row][column] = matrix[row][column] * factor;\n        }\n    }\n    return newMatrix;\n}\n//# sourceMappingURL=matrixZPivotRescale.js.map","import { matrixCreateEmpty } from './matrixCreateEmpty';\nimport { matrixMinMaxZ } from './matrixMinMaxZ';\n/**\n * Rescale a matrix between min and max values.\n * @param matrix - matrix [rows][cols].\n * @param options - Options.\n */\nexport function matrixZRescale(matrix, options = {}) {\n    const { min = 0, max = 1, ArrayConstructor } = options;\n    const nbColumns = matrix[0].length;\n    const nbRows = matrix.length;\n    const newMatrix = matrixCreateEmpty({ nbColumns, nbRows, ArrayConstructor });\n    const { min: currentMin, max: currentMax } = matrixMinMaxZ(matrix);\n    const factor = (max - min) / (currentMax - currentMin);\n    for (let column = 0; column < nbColumns; column++) {\n        for (let row = 0; row < nbRows; row++) {\n            newMatrix[row][column] =\n                (matrix[row][column] - currentMin) * factor + min;\n        }\n    }\n    return newMatrix;\n}\n//# sourceMappingURL=matrixZRescale.js.map","import { matrixCreateEmpty } from './matrixCreateEmpty';\n/**\n * Rescale the matrix per column for which we get the min and max values.\n * @param matrix - matrix [rows][cols].\n * @param options - Options.\n */\nexport function matrixZRescalePerColumn(matrix, options = {}) {\n    const { min = 0, max = 1 } = options;\n    const nbColumns = matrix[0].length;\n    const nbRows = matrix.length;\n    const newMatrix = matrixCreateEmpty({ nbColumns, nbRows });\n    for (let column = 0; column < nbColumns; column++) {\n        let currentMin = matrix[0][column];\n        let currentMax = matrix[0][column];\n        for (let row = 1; row < nbRows; row++) {\n            if (matrix[row][column] < currentMin)\n                currentMin = matrix[row][column];\n            if (matrix[row][column] > currentMax)\n                currentMax = matrix[row][column];\n        }\n        const factor = (max - min) / (currentMax - currentMin);\n        for (let row = 0; row < nbRows; row++) {\n            newMatrix[row][column] =\n                (matrix[row][column] - currentMin) * factor + min;\n        }\n    }\n    return newMatrix;\n}\n//# 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