ref #65, new formula functions: CORREL, SUMX2MY2, SUMX2PY2, and SUMXMY2

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xuri 2022-03-06 00:29:33 +08:00
parent f0cb29cf66
commit 354d1696d8
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2 changed files with 121 additions and 0 deletions

100
calc.go
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@ -358,6 +358,7 @@ type formulaFuncs struct {
// CONCATENATE
// CONFIDENCE
// CONFIDENCE.NORM
// CORREL
// COS
// COSH
// COT
@ -603,6 +604,9 @@ type formulaFuncs struct {
// SUM
// SUMIF
// SUMSQ
// SUMX2MY2
// SUMX2PY2
// SUMXMY2
// SWITCH
// SYD
// T
@ -4945,6 +4949,63 @@ func (fn *formulaFuncs) SUMSQ(argsList *list.List) formulaArg {
return newNumberFormulaArg(sq)
}
// sumx is an implementation of the formula functions SUMX2MY2, SUMX2PY2 and
// SUMXMY2.
func (fn *formulaFuncs) sumx(name string, argsList *list.List) formulaArg {
if argsList.Len() != 2 {
return newErrorFormulaArg(formulaErrorVALUE, fmt.Sprintf("%s requires 2 arguments", name))
}
array1 := argsList.Front().Value.(formulaArg)
array2 := argsList.Back().Value.(formulaArg)
left, right := array1.ToList(), array2.ToList()
n := len(left)
if n != len(right) {
return newErrorFormulaArg(formulaErrorNA, formulaErrorNA)
}
result := 0.0
for i := 0; i < n; i++ {
if lhs, rhs := left[i].ToNumber(), right[i].ToNumber(); lhs.Number != 0 && rhs.Number != 0 {
switch name {
case "SUMX2MY2":
result += lhs.Number*lhs.Number - rhs.Number*rhs.Number
case "SUMX2PY2":
result += lhs.Number*lhs.Number + rhs.Number*rhs.Number
default:
result += (lhs.Number - rhs.Number) * (lhs.Number - rhs.Number)
}
}
}
return newNumberFormulaArg(result)
}
// SUMX2MY2 function returns the sum of the differences of squares of two
// supplied sets of values. The syntax of the function is:
//
// SUMX2MY2(array_x,array_y)
//
func (fn *formulaFuncs) SUMX2MY2(argsList *list.List) formulaArg {
return fn.sumx("SUMX2MY2", argsList)
}
// SUMX2PY2 function returns the sum of the sum of squares of two supplied sets
// of values. The syntax of the function is:
//
// SUMX2PY2(array_x,array_y)
//
func (fn *formulaFuncs) SUMX2PY2(argsList *list.List) formulaArg {
return fn.sumx("SUMX2PY2", argsList)
}
// SUMXMY2 function returns the sum of the squares of differences between
// corresponding values in two supplied arrays. The syntax of the function
// is:
//
// SUMXMY2(array_x,array_y)
//
func (fn *formulaFuncs) SUMXMY2(argsList *list.List) formulaArg {
return fn.sumx("SUMXMY2", argsList)
}
// TAN function calculates the tangent of a given angle. The syntax of the
// function is:
//
@ -5306,6 +5367,45 @@ func (fn *formulaFuncs) countSum(countText bool, args []formulaArg) (count, sum
return
}
// CORREL function calculates the Pearson Product-Moment Correlation
// Coefficient for two sets of values. The syntax of the function is:
//
// CORREL(array1,array2)
//
func (fn *formulaFuncs) CORREL(argsList *list.List) formulaArg {
if argsList.Len() != 2 {
return newErrorFormulaArg(formulaErrorVALUE, "CORREL requires 2 arguments")
}
array1 := argsList.Front().Value.(formulaArg)
array2 := argsList.Back().Value.(formulaArg)
left, right := array1.ToList(), array2.ToList()
n := len(left)
if n != len(right) {
return newErrorFormulaArg(formulaErrorNA, formulaErrorNA)
}
l1, l2, l3 := list.New(), list.New(), list.New()
for i := 0; i < n; i++ {
if lhs, rhs := left[i].ToNumber(), right[i].ToNumber(); lhs.Number != 0 && rhs.Number != 0 {
l1.PushBack(lhs)
l2.PushBack(rhs)
}
}
stdev1, stdev2 := fn.STDEV(l1), fn.STDEV(l2)
if stdev1.Number == 0 || stdev2.Number == 0 {
return newErrorFormulaArg(formulaErrorDIV, formulaErrorDIV)
}
mean1, mean2, skip := fn.AVERAGE(l1), fn.AVERAGE(l2), 0
for i := 0; i < n; i++ {
lhs, rhs := left[i].ToNumber(), right[i].ToNumber()
if lhs.Number == 0 || rhs.Number == 0 {
skip++
continue
}
l3.PushBack(newNumberFormulaArg((lhs.Number - mean1.Number) * (rhs.Number - mean2.Number)))
}
return newNumberFormulaArg(fn.SUM(l3).Number / float64(n-skip-1) / stdev1.Number / stdev2.Number)
}
// COUNT function returns the count of numeric values in a supplied set of
// cells or values. This count includes both numbers and dates. The syntax of
// the function is:

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@ -747,6 +747,12 @@ func TestCalcCellValue(t *testing.T) {
`=SUMSQ("",A1,B1,A2,B2,6)`: "82",
`=SUMSQ(1,SUMSQ(1))`: "2",
"=SUMSQ(MUNIT(3))": "0",
// SUMX2MY2
"=SUMX2MY2(A1:A4,B1:B4)": "-36",
// SUMX2PY2
"=SUMX2PY2(A1:A4,B1:B4)": "46",
// SUMXMY2
"=SUMXMY2(A1:A4,B1:B4)": "18",
// TAN
"=TAN(1.047197551)": "1.732050806782486",
"=TAN(0)": "0",
@ -785,6 +791,8 @@ func TestCalcCellValue(t *testing.T) {
"=CONFIDENCE(0.05,0.07,100)": "0.0137197479028414",
// CONFIDENCE.NORM
"=CONFIDENCE.NORM(0.05,0.07,100)": "0.0137197479028414",
// CORREL
"=CORREL(A1:A5,B1:B5)": "1",
// COUNT
"=COUNT()": "0",
"=COUNT(E1:F2,\"text\",1,INT(2))": "3",
@ -2238,6 +2246,15 @@ func TestCalcCellValue(t *testing.T) {
// SUMSQ
`=SUMSQ("X")`: "strconv.ParseFloat: parsing \"X\": invalid syntax",
"=SUMSQ(C1:D2)": "strconv.ParseFloat: parsing \"Month\": invalid syntax",
// SUMX2MY2
"=SUMX2MY2()": "SUMX2MY2 requires 2 arguments",
"=SUMX2MY2(A1,B1:B2)": "#N/A",
// SUMX2PY2
"=SUMX2PY2()": "SUMX2PY2 requires 2 arguments",
"=SUMX2PY2(A1,B1:B2)": "#N/A",
// SUMXMY2
"=SUMXMY2()": "SUMXMY2 requires 2 arguments",
"=SUMXMY2(A1,B1:B2)": "#N/A",
// TAN
"=TAN()": "TAN requires 1 numeric argument",
`=TAN("X")`: "strconv.ParseFloat: parsing \"X\": invalid syntax",
@ -2284,6 +2301,10 @@ func TestCalcCellValue(t *testing.T) {
"=CONFIDENCE.NORM(1,0.07,100)": "#NUM!",
"=CONFIDENCE.NORM(0.05,0,100)": "#NUM!",
"=CONFIDENCE.NORM(0.05,0.07,0.5)": "#NUM!",
// CORREL
"=CORREL()": "CORREL requires 2 arguments",
"=CORREL(A1:A3,B1:B5)": "#N/A",
"=CORREL(A1:A1,B1:B1)": "#DIV/0!",
// COUNTBLANK
"=COUNTBLANK()": "COUNTBLANK requires 1 argument",
"=COUNTBLANK(1,2)": "COUNTBLANK requires 1 argument",