ref #65, #1196: fix the compatibility issue and added new formula function

- New formula functions: MODE and T.TEST

calc.go

@@ -549,6 +549,7 @@ type formulaFuncs struct {
 //    MINUTE
 //    MIRR
 //    MOD
+//    MODE
 //    MONTH
 //    MROUND
 //    MULTINOMIAL
@@ -673,6 +674,7 @@ type formulaFuncs struct {
 //    TRIMMEAN
 //    TRUE
 //    TRUNC
+//    T.TEST
 //    TTEST
 //    TYPE
 //    UNICHAR
@@ -7974,6 +7976,51 @@ func (fn *formulaFuncs) LOGNORMDIST(argsList *list.List) formulaArg {
 	return fn.NORMSDIST(args)
 }
 
+// MODE function returns the statistical mode (the most frequently occurring
+// value) of a list of supplied numbers. If there are 2 or more most
+// frequently occurring values in the supplied data, the function returns the
+// lowest of these values The syntax of the function is:
+//
+//    MODE(number1,[number2],...)
+//
+func (fn *formulaFuncs) MODE(argsList *list.List) formulaArg {
+	if argsList.Len() < 1 {
+		return newErrorFormulaArg(formulaErrorVALUE, "MODE requires at least 1 argument")
+	}
+	var values []float64
+	for arg := argsList.Front(); arg != nil; arg = arg.Next() {
+		cells := arg.Value.(formulaArg)
+		if cells.Type != ArgMatrix && cells.ToNumber().Type != ArgNumber {
+			return newErrorFormulaArg(formulaErrorVALUE, formulaErrorVALUE)
+		}
+		for _, cell := range cells.ToList() {
+			if num := cell.ToNumber(); num.Type == ArgNumber {
+				values = append(values, num.Number)
+			}
+		}
+	}
+	sort.Float64s(values)
+	cnt := len(values)
+	var count, modeCnt int
+	var mode float64
+	for i := 0; i < cnt; i++ {
+		count = 0
+		for j := 0; j < cnt; j++ {
+			if j != i && values[j] == values[i] {
+				count++
+			}
+		}
+		if count > modeCnt {
+			modeCnt = count
+			mode = values[i]
+		}
+	}
+	if modeCnt == 0 {
+		return newErrorFormulaArg(formulaErrorNA, formulaErrorNA)
+	}
+	return newNumberFormulaArg(mode)
+}
+
 // NEGBINOMdotDIST function calculates the probability mass function or the
 // cumulative distribution function for the Negative Binomial Distribution.
 // This gives the probability that there will be a given number of failures
@@ -9342,6 +9389,20 @@ func (fn *formulaFuncs) TTEST(argsList *list.List) formulaArg {
 	return fn.tTest(array1.Matrix, array2.Matrix, tails.Number, typeArg.Number)
 }
 
+// TdotTEST function calculates the probability associated with the Student's T
+// Test, which is commonly used for identifying whether two data sets are
+// likely to have come from the same two underlying populations with the same
+// mean. The syntax of the function is:
+//
+//    T.TEST(array1,array2,tails,type)
+//
+func (fn *formulaFuncs) TdotTEST(argsList *list.List) formulaArg {
+	if argsList.Len() != 4 {
+		return newErrorFormulaArg(formulaErrorVALUE, "T.TEST requires 4 arguments")
+	}
+	return fn.TTEST(argsList)
+}
+
 // TRIMMEAN function calculates the trimmed mean (or truncated mean) of a
 // supplied set of values. The syntax of the function is:
 //

calc_test.go

@@ -4865,6 +4865,43 @@ func TestCalcISFORMULA(t *testing.T) {
 	}
 }
 
+func TestCalcMODE(t *testing.T) {
+	cellData := [][]interface{}{
+		{1, 1},
+		{1, 1},
+		{2, 2},
+		{2, 2},
+		{3, 2},
+		{3},
+		{3},
+		{4},
+		{4},
+		{4},
+	}
+	f := prepareCalcData(cellData)
+	formulaList := map[string]string{
+		"=MODE(A1:A10)": "3",
+		"=MODE(B1:B6)":  "2",
+	}
+	for formula, expected := range formulaList {
+		assert.NoError(t, f.SetCellFormula("Sheet1", "C1", formula))
+		result, err := f.CalcCellValue("Sheet1", "C1")
+		assert.NoError(t, err, formula)
+		assert.Equal(t, expected, result, formula)
+	}
+	calcError := map[string]string{
+		"=MODE()":       "MODE requires at least 1 argument",
+		"=MODE(0,\"\")": "#VALUE!",
+		"=MODE(D1:D3)":  "#N/A",
+	}
+	for formula, expected := range calcError {
+		assert.NoError(t, f.SetCellFormula("Sheet1", "C1", formula))
+		result, err := f.CalcCellValue("Sheet1", "C1")
+		assert.EqualError(t, err, expected, formula)
+		assert.Equal(t, "", result, formula)
+	}
+}
+
 func TestCalcSHEET(t *testing.T) {
 	f := NewFile()
 	f.NewSheet("Sheet2")
@@ -4920,6 +4957,12 @@ func TestCalcTTEST(t *testing.T) {
 		"=TTEST(A1:A12,B1:B12,2,1)":  "0.898141378888559",
 		"=TTEST(A1:A12,B1:B12,2,2)":  "0.873434612058567",
 		"=TTEST(A1:A12,B1:B12,2,3)":  "0.873444030769511",
+		"=T.TEST(A1:A12,B1:B12,1,1)": "0.44907068944428",
+		"=T.TEST(A1:A12,B1:B12,1,2)": "0.436717306029283",
+		"=T.TEST(A1:A12,B1:B12,1,3)": "0.436722015384755",
+		"=T.TEST(A1:A12,B1:B12,2,1)": "0.898141378888559",
+		"=T.TEST(A1:A12,B1:B12,2,2)": "0.873434612058567",
+		"=T.TEST(A1:A12,B1:B12,2,3)": "0.873444030769511",
 	}
 	for formula, expected := range formulaList {
 		assert.NoError(t, f.SetCellFormula("Sheet1", "C1", formula))
@@ -4940,6 +4983,18 @@ func TestCalcTTEST(t *testing.T) {
 		"=TTEST(A12:A13,B12:B13,1,1)":   "#DIV/0!",
 		"=TTEST(A13:A14,B13:B14,1,2)":   "#NUM!",
 		"=TTEST(D1:D4,E1:E4,1,3)":       "#NUM!",
+		"=T.TEST()":                     "T.TEST requires 4 arguments",
+		"=T.TEST(\"\",B1:B12,1,1)":      "#NUM!",
+		"=T.TEST(A1:A12,\"\",1,1)":      "#NUM!",
+		"=T.TEST(A1:A12,B1:B12,\"\",1)": "strconv.ParseFloat: parsing \"\": invalid syntax",
+		"=T.TEST(A1:A12,B1:B12,1,\"\")": "strconv.ParseFloat: parsing \"\": invalid syntax",
+		"=T.TEST(A1:A12,B1:B12,0,1)":    "#NUM!",
+		"=T.TEST(A1:A12,B1:B12,1,0)":    "#NUM!",
+		"=T.TEST(A1:A2,B1:B1,1,1)":      "#N/A",
+		"=T.TEST(A13:A14,B13:B14,1,1)":  "#NUM!",
+		"=T.TEST(A12:A13,B12:B13,1,1)":  "#DIV/0!",
+		"=T.TEST(A13:A14,B13:B14,1,2)":  "#NUM!",
+		"=T.TEST(D1:D4,E1:E4,1,3)":      "#NUM!",
 	}
 	for formula, expected := range calcError {
 		assert.NoError(t, f.SetCellFormula("Sheet1", "C1", formula))

xmlWorkbook.go

@@ -40,9 +40,9 @@ type xlsxWorkbook struct {
 	FileVersion            *xlsxFileVersion         `xml:"fileVersion"`
 	FileSharing            *xlsxExtLst              `xml:"fileSharing"`
 	WorkbookPr             *xlsxWorkbookPr          `xml:"workbookPr"`
-	WorkbookProtection     *xlsxWorkbookProtection  `xml:"workbookProtection"`
 	AlternateContent       *xlsxAlternateContent    `xml:"mc:AlternateContent"`
 	DecodeAlternateContent *xlsxInnerXML            `xml:"http://schemas.openxmlformats.org/markup-compatibility/2006 AlternateContent"`
+	WorkbookProtection     *xlsxWorkbookProtection  `xml:"workbookProtection"`
 	BookViews              *xlsxBookViews           `xml:"bookViews"`
 	Sheets                 xlsxSheets               `xml:"sheets"`
 	FunctionGroups         *xlsxExtLst              `xml:"functionGroups"`