diff options
| author | xuri <xuri.me@gmail.com> | 2022-04-04 00:21:33 +0800 |
|---|---|---|
| committer | xuri <xuri.me@gmail.com> | 2022-04-04 00:21:33 +0800 |
| commit | ecbc6e2fde1941cb5ac9e5f3bfce329e7bfa8825 (patch) | |
| tree | 24597853107787b521fc98263f19c242ac2be6f5 /calc.go | |
| parent | be8fc0a4c5795bb793b171c25fd90e0369812a05 (diff) | |
ref #65, new formula functions: T.INV and T.INV.2T
- Typo fixed
Diffstat (limited to 'calc.go')
| -rw-r--r-- | calc.go | 111 |
1 files changed, 80 insertions, 31 deletions
@@ -664,6 +664,8 @@ type formulaFuncs struct { // TEXTJOIN // TIME // TIMEVALUE +// T.INV +// T.INV.2T // TODAY // TRANSPOSE // TRIM @@ -1265,27 +1267,6 @@ func isOperand(token efp.Token) bool { return token.TType == efp.TokenTypeOperand && (token.TSubType == efp.TokenSubTypeNumber || token.TSubType == efp.TokenSubTypeText) } -// getDefinedNameRefTo convert defined name to reference range. -func (f *File) getDefinedNameRefTo(definedNameName string, currentSheet string) (refTo string) { - var workbookRefTo, worksheetRefTo string - for _, definedName := range f.GetDefinedName() { - if definedName.Name == definedNameName { - // worksheet scope takes precedence over scope workbook when both definedNames exist - if definedName.Scope == "Workbook" { - workbookRefTo = definedName.RefersTo - } - if definedName.Scope == currentSheet { - worksheetRefTo = definedName.RefersTo - } - } - } - refTo = workbookRefTo - if worksheetRefTo != "" { - refTo = worksheetRefTo - } - return -} - // parseToken parse basic arithmetic operator priority and evaluate based on // operators and operands. func (f *File) parseToken(sheet string, token efp.Token, opdStack, optStack *Stack) error { @@ -6647,14 +6628,16 @@ func hasChangeOfSign(u, w float64) bool { // calcInverseIterator directly maps the required parameters for inverse // distribution functions. type calcInverseIterator struct { - name string - fp, fDF float64 + name string + fp, fDF, nT float64 } -// chiSqDist implements inverse distribution with left tail for the Chi-Square -// distribution. -func (iterator *calcInverseIterator) chiSqDist(x float64) float64 { - return iterator.fp - getChiSqDistCDF(x, iterator.fDF) +// callBack implements the callback function for the inverse iterator. +func (iterator *calcInverseIterator) callBack(x float64) float64 { + if iterator.name == "CHISQ.INV" { + return iterator.fp - getChiSqDistCDF(x, iterator.fDF) + } + return iterator.fp - getTDist(x, iterator.fDF, iterator.nT) } // inverseQuadraticInterpolation inverse quadratic interpolation with @@ -6682,7 +6665,7 @@ func inverseQuadraticInterpolation(iterator calcInverseIterator, fAx, fAy, fBx, bHasToInterpolate = true } fPx, fQx, fRx, fPy, fQy = fQx, fRx, fSx, fQy, fRy - fRy = iterator.chiSqDist(fSx) + fRy = iterator.callBack(fSx) if hasChangeOfSign(fAy, fRy) { fBx, fBy = fRx, fRy } else { @@ -6697,7 +6680,7 @@ func inverseQuadraticInterpolation(iterator calcInverseIterator, fAx, fAy, fBx, // calcIterateInverse function calculates the iteration for inverse // distributions. func calcIterateInverse(iterator calcInverseIterator, fAx, fBx float64) float64 { - fAy, fBy := iterator.chiSqDist(fAx), iterator.chiSqDist(fBx) + fAy, fBy := iterator.callBack(fAx), iterator.callBack(fBx) var fTemp float64 var nCount int for nCount = 0; nCount < 1000 && !hasChangeOfSign(fAy, fBy); nCount++ { @@ -6709,13 +6692,13 @@ func calcIterateInverse(iterator calcInverseIterator, fAx, fBx float64) float64 } fBx = fTemp fBy = fAy - fAy = iterator.chiSqDist(fAx) + fAy = iterator.callBack(fAx) } else { fTemp = fBx fBx += 2 * (fBx - fAx) fAx = fTemp fAy = fBy - fBy = iterator.chiSqDist(fBx) + fBy = iterator.callBack(fBx) } } if fAy == 0 || fBy == 0 { @@ -9152,6 +9135,72 @@ func (fn *formulaFuncs) TDIST(argsList *list.List) formulaArg { return newNumberFormulaArg(getTDist(x.Number, degrees.Number, tails.Number)) } +// TdotINV function calculates the left-tailed inverse of the Student's T +// Distribution, which is a continuous probability distribution that is +// frequently used for testing hypotheses on small sample data sets. The +// syntax of the function is: +// +// T.INV(probability,degrees_freedom) +// +func (fn *formulaFuncs) TdotINV(argsList *list.List) formulaArg { + if argsList.Len() != 2 { + return newErrorFormulaArg(formulaErrorVALUE, "T.INV requires 2 arguments") + } + var probability, degrees formulaArg + if probability = argsList.Front().Value.(formulaArg).ToNumber(); probability.Type != ArgNumber { + return probability + } + if degrees = argsList.Back().Value.(formulaArg).ToNumber(); degrees.Type != ArgNumber { + return degrees + } + if probability.Number <= 0 || probability.Number >= 1 || degrees.Number < 1 { + return newErrorFormulaArg(formulaErrorNUM, formulaErrorNUM) + } + if probability.Number < 0.5 { + return newNumberFormulaArg(-calcIterateInverse(calcInverseIterator{ + name: "T.INV", + fp: 1 - probability.Number, + fDF: degrees.Number, + nT: 4, + }, degrees.Number/2, degrees.Number)) + } + return newNumberFormulaArg(calcIterateInverse(calcInverseIterator{ + name: "T.INV", + fp: probability.Number, + fDF: degrees.Number, + nT: 4, + }, degrees.Number/2, degrees.Number)) +} + +// TdotINVdot2T function calculates the inverse of the two-tailed Student's T +// Distribution, which is a continuous probability distribution that is +// frequently used for testing hypotheses on small sample data sets. The +// syntax of the function is: +// +// T.INV.2T(probability,degrees_freedom) +// +func (fn *formulaFuncs) TdotINVdot2T(argsList *list.List) formulaArg { + if argsList.Len() != 2 { + return newErrorFormulaArg(formulaErrorVALUE, "T.INV.2T requires 2 arguments") + } + var probability, degrees formulaArg + if probability = argsList.Front().Value.(formulaArg).ToNumber(); probability.Type != ArgNumber { + return probability + } + if degrees = argsList.Back().Value.(formulaArg).ToNumber(); degrees.Type != ArgNumber { + return degrees + } + if probability.Number <= 0 || probability.Number > 1 || degrees.Number < 1 { + return newErrorFormulaArg(formulaErrorNUM, formulaErrorNUM) + } + return newNumberFormulaArg(calcIterateInverse(calcInverseIterator{ + name: "T.INV.2T", + fp: probability.Number, + fDF: degrees.Number, + nT: 2, + }, degrees.Number/2, degrees.Number)) +} + // TRIMMEAN function calculates the trimmed mean (or truncated mean) of a // supplied set of values. The syntax of the function is: // |