Mathematical Functions/text/scalc/01/04060106.xhpmathematical functionsFunction Wizard; mathematicalfunctions; mathematical functionstrigonometric functionsMathematical FunctionsThis category contains the Mathematical functions for Calc.
To open the Function Wizard, choose Insert - Function.ABS functionabsolute valuesvalues;absolutemw added two entriesABSReturns the absolute value of a number.SyntaxABS(Number)Number is the number whose absolute value is to be calculated. The absolute value of a number is its value without the +/- sign.Example=ABS(-56) returns 56.=ABS(12) returns 12.=ABS(0) returns 0.see also SIGNCOUNTBLANK functioncounting;empty cellsempty cells;countingmw added two entriesCOUNTBLANKReturns the number of empty cells.SyntaxCOUNTBLANK(Range) Returns the number of empty cells in the cell range Range.Example=COUNTBLANK(A1:B2) returns 4 if cells A1, A2, B1, and B2 are all empty.see also COUNTIFACOS functionACOSReturns the inverse trigonometric cosine of a number.SyntaxACOS(Number) This function returns the inverse trigonometric cosine of Number, that is the angle (in radians) whose cosine is Number. The angle returned is between 0 and PI.To return the angle in degrees, use the DEGREES function.Example=ACOS(-1) returns 3.14159265358979 (PI radians)=DEGREES(ACOS(0.5)) returns 60. The cosine of 60 degrees is 0.5.see also COS, SIN, TAN, COT, ASIN, ATAN, ATAN2, ACOTACOSH functionACOSHReturns the inverse hyperbolic cosine of a number.SyntaxACOSH(Number) This function returns the inverse hyperbolic cosine of Number, that is the number whose hyperbolic cosine is Number. Number must be greater than or equal to 1.Example=ACOSH(1) returns 0.=ACOSH(COSH(4)) returns 4.see also ASINH, ATANH, ACOTH, COSH, SINH, TANH, COTHACOT functionACOTReturns the inverse cotangent (the arccotangent) of the given number.SyntaxACOT(Number) This function returns the inverse trigonometric cotangent of Number, that is the angle (in radians) whose cotangent is Number. The angle returned is between 0 and PI.To return the angle in degrees, use the DEGREES function.Example=ACOT(1) returns 0.785398163397448 (PI/4 radians).=DEGREES(ACOT(1)) returns 45. The tangent of 45 degrees is 1. see also COS, SIN, TAN, COT, ACOS, ASIN, ATAN, ATAN2ACOTH functionACOTHReturns the inverse hyperbolic cotangent of the given number.SyntaxACOTH(Number) This function returns the inverse hyperbolic cotangent of Number, that is the number whose hyperbolic cotangent is Number.An error results if Number is between -1 and 1 inclusive.Example=ACOTH(1.1) returns inverse hyperbolic cotangent of 1.1, approximately 1.52226.see also ACOSH, ASINH, ATANH, COSH, SINH, TANH, COTHASIN functionASINReturns the inverse trigonometric sine of a number.SyntaxASIN(Number) This function returns the inverse trigonometric sine of Number, that is the angle (in radians) whose sine is Number. The angle returned is between -PI/2 and +PI/2.To return the angle in degrees, use the DEGREES function.Example=ASIN(0) returns 0.=ASIN(1) returns 1.5707963267949 (PI/2 radians). =DEGREES(ASIN(0.5)) returns 30. The sine of 30 degrees is 0.5.see also COS, SIN, TAN, COT, ACOS, ATAN, ATAN2, ACOTASINH functionASINHReturns the inverse hyperbolic sine of a number.SyntaxASINH(Number) This function returns the inverse hyperbolic sine of Number, that is the number whose hyperbolic sine is Number. Example=ASINH(-90) returns approximately -5.1929877.=ASINH(SINH(4)) returns 4.see also ACOSH, ATANH, ACOTH, COSH, SINH, TANH, COTHATAN functionATANReturns the inverse trigonometric tangent of a number.SyntaxATAN(Number) This function returns the inverse trigonometric tangent of Number, that is the angle (in radians) whose tangent is Number. The angle returned is between -PI/2 and PI/2.To return the angle in degrees, use the DEGREES function.Example=ATAN(1) returns 0.785398163397448 (PI/4 radians).=DEGREES(ATAN(1)) returns 45. The tangent of 45 degrees is 1.see also COS, SIN, TAN, COT, ACOS, ASIN, ATAN2, ACOTATAN2 functionATAN2Returns the inverse trigonometric tangent of the specified x and y coordinates.SyntaxATAN2(NumberX; NumberY)NumberX is the value of the x coordinate.NumberY is the value of the y coordinate.ATAN2 returns the inverse trigonometric tangent, that is, the angle (in radians) between the x-axis and a line from point NumberX, NumberY to the origin. The angle returned is between -PI and PI.To return the angle in degrees, use the DEGREES function.Example=ATAN2(20;20) returns 0.785398163397448 (PI/4 radians).=DEGREES(ATAN2(12.3;12.3)) returns 45. The tangent of 45 degrees is 1.see also COS, SIN, TAN, COT, ACOS, ASIN, ATAN, ACOTATANH functionATANHReturns the inverse hyperbolic tangent of a number.SyntaxATANH(Number) This function returns the inverse hyperbolic tangent of Number, that is the number whose hyperbolic tangent is Number. Number must obey the condition -1 < number < 1.Example=ATANH(0) returns 0.see also ACOSH, ASINH, ACOTH, COSH, SINH, TANH, COTHCOS functionCOSReturns the cosine of the given angle (in radians).SyntaxCOS(Number) Returns the (trigonometric) cosine of Number, the angle in radians.To return the cosine of an angle in degrees, use the RADIANS function.Examples=COS(PI()/2) returns 0, the cosine of PI/2 radians.=COS(RADIANS(60)) returns 0.5, the cosine of 60 degrees.see also SIN, TAN, COT, ACOS, ASIN, ATAN, ATAN2, ACOTCOSH functionCOSHReturns the hyperbolic cosine of a number.SyntaxCOSH(Number)Returns the hyperbolic cosine of Number.Example=COSH(0) returns 1, the hyperbolic cosine of 0.see also SINH, TANH, COTH, ACOSH, ASINH, ATANH, ACOTHCOT functionCOTReturns the cotangent of the given angle (in radians).SyntaxCOT(Number) Returns the (trigonometric) cotangent of Number, the angle in radians.To return the cotangent of an angle in degrees, use the RADIANS function.The cotangent of an angle is equivalent to 1 divided by the tangent of that angle.Examples:=COT(PI()/4) returns 1, the cotangent of PI/4 radians.=COT(RADIANS(45)) returns 1, the cotangent of 45 degrees.see also COS, SIN, TAN, ACOS, ASIN, ATAN, ATAN2, ACOTCOTH functionCOTHReturns the hyperbolic cotangent of a given number (angle).SyntaxCOTH(Number) Returns the hyperbolic cotangent of Number.Example=COTH(1) returns the hyperbolic cotangent of 1, approximately 1.3130.see also COSH, SINH, TANH, ACOSH, ASINH, ATANH, ACOTHDEGREES functionconverting;radians, into degreesmw added one entryDEGREESConverts radians into degrees.SyntaxDEGREES(Number)Number is the angle in radians to be converted to degrees.Example=DEGREES(PI()) returns 180 degrees.see also RADIANSEXP functionEXPReturns e raised to the power of a number. The constant e has a value of approximately 2.71828182845904.SyntaxEXP(Number)Number is the power to which e is to be raised.Example=EXP(1) returns 2.71828182845904, the mathematical constant e to Calc's accuracy.see also POWER, LNFACT functionfactorials;numbersmw added one entryFACTReturns the factorial of a number.SyntaxFACT(Number) Returns Number!, the factorial of Number, calculated as 1*2*3*4* ... * Number.=FACT(0) returns 1 by definition. The factorial of a negative number returns the "invalid argument" error.Example=FACT(3) returns 6.=FACT(0) returns 1.see also FACTDOUBLE, MULTINOMIAL, PRODUCTINT functionnumbers;rounding down to next integerrounding;down to next integermw added two entriesINTRounds a number down to the nearest integer.SyntaxINT(Number)Returns Number rounded down to the nearest integer.Negative numbers round down to the integer below.Example=INT(5.7) returns 5.=INT(-1.3) returns -2.see also TRUNC, ROUND, ROUNDDOWN, ROUNDUP, CEILING, FLOOR, EVEN, ODD, MROUNDEVEN functionnumbers;rounding up/down to even integersrounding;up/down to even integersmw added two entriesEVENRounds a positive number up to the next even integer and a negative number down to the next even integer.SyntaxEVEN(Number) Returns Number rounded to the next even integer up, away from zero. Examples=EVEN(2.3) returns 4.=EVEN(2) returns 2.=EVEN(0) returns 0.=EVEN(-0.5) returns -2.see also CEILING, FLOOR, ODD, MROUND, INT, TRUNC, ROUND, ROUNDDOWN, ROUNDUPGCD functiongreatest common divisormw added one entryGCDReturns the greatest common divisor of two or more integers.The greatest common divisor is the positive largest integer which will divide, without remainder, each of the given integers.SyntaxGCD(Integer1; Integer2; ...; Integer30)Integer1 To 30 are up to 30 integers whose greatest common divisor is to be calculated.Example=GCD(16;32;24) gives the result 8, because 8 is the largest number that can divide 16, 24 and 32 without a remainder.=GCD(B1:B3) where cells B1, B2, B3 contain 9, 12, 9 gives 3.GCD_ADD functionGCD_ADD The result is the greatest common divisor of a list of numbers.SyntaxGCD_ADD(Number(s))Number(s) is a list of up to 30 numbers.Example=GCD_ADD(5;15;25) returns 5.ISEVEN functioneven integersmw added one entryISEVENlink from Information catReturns TRUE if the value is an even integer, or FALSE if the value is odd.SyntaxISEVEN(Value)Value is the value to be checked.If Value is not an integer any digits after the decimal point are ignored. The sign of Value is also ignored.Example=ISEVEN(48) returns TRUE=ISEVEN(33) returns FALSE=ISEVEN(0) returns TRUE=ISEVEN(-2.1) returns TRUE=ISEVEN(3.999) returns FALSEsee also ISODDISODD functionodd integersmw added one entryISODDlink from Information catReturns TRUE if the value is odd, or FALSE if the number is even.SyntaxISODD(value)Value is the value to be checked.If Value is not an integer any digits after the decimal point are ignored. The sign of Value is also ignored.Example=ISODD(33) returns TRUE=ISODD(48) returns FALSE=ISODD(3.999) returns TRUE=ISODD(-3.1) returns TRUEsee also ISEVENLCM functionleast common multipleslowest common multiplesmw added two entriesLCMReturns the least common multiple of one or more integers.SyntaxLCM(Integer1; Integer2; ...; Integer30)Integer1 to 30 are up to 30 integers whose lowest common multiple is to be calculated.ExampleIf you enter the numbers 512;1024 and 2000 in the Integer 1;2 and 3 text boxes, 128000 will be returned as the result.LCM_ADD functionLCM_ADD The result is the lowest common multiple of a list of numbers.SyntaxLCM_ADD(Number(s))Number(s) is a list of up to 30 numbers.Example=LCM_ADD(5;15;25) returns 75.COMBIN functionnumber of combinationsmw added one entryCOMBINshould be statistical-->add a link thereReturns the number of combinations for elements without repetition.SyntaxCOMBIN(Count1; Count2)Count1 is the number of items in the set.Count2 is the number of items to choose from the set.COMBIN returns the number of ordered ways to choose these items. For example if there are 3 items A, B and C in a set, you can choose 2 items in 3 different ways, namely AB, AC and BC.COMBIN implements the formula: Count1!/(Count2!*(Count1-Count2)!)Example=COMBIN(3;2) returns 3.see also COMBINACOMBINA functionnumber of combinations with repetitionsmw added one entryCOMBINAshould be statistical-->add a link thereReturns the number of combinations of a subset of items including repetitions.SyntaxCOMBINA(Count1; Count2)Count1 is the number of items in the set.Count2 is the number of items to choose from the set.COMBINA returns the number of unique ways to choose these items, where the order of choosing is irrelevant, and repetition of items is allowed. For example if there are 3 items A, B and C in a set, you can choose 2 items in 6 different ways, namely AA, AB, AC, BB, BC and CC.COMBINA implements the formula: (Count1+Count2-1)! / (Count2!(Count1-1)!)i88052Example=COMBINA(3;2) returns 6.see also COMBINTRUNC functiondecimal places;cutting offmw added one entryTRUNCTruncates a number by removing decimal places.SyntaxTRUNC(Number; Count)Returns Number with at most Count decimal places. Excess decimal places are simply removed, irrespective of sign.TRUNC(Number; 0) behaves as INT(Number) for positive numbers, but effectively rounds towards zero for negative numbers.The visible decimal places of the result are specified in %PRODUCTNAME - PreferencesTools - Options - %PRODUCTNAME Calc - Calculate.Example=TRUNC(1.239;2) returns 1.23. The 9 is lost.=TRUNC(-1.234999;3) returns -1.234. All the 9s are lost.see also INT, ROUND, ROUNDDOWN, ROUNDUP, CEILING, FLOOR, EVEN, ODD, MROUNDLN functionnatural logarithmmw added one entryLNReturns the natural logarithm based on the constant e of a number. The constant e has a value of approximately 2.71828182845904.SyntaxLN(Number)Number is the value whose natural logarithm is to be calculated.Example=LN(3) returns the natural logarithm of 3 (approximately 1.0986).=LN(EXP(321)) returns 321.see also LOG, LOG10, EXPLOG functionlogarithmsmw added one entryLOGReturns the logarithm of a number to the specified base.SyntaxLOG(Number; Base)Number is the value whose logarithm is to be calculated.Base (optional) is the base for the logarithm calculation. If omitted, Base 10 is assumed.Example=LOG(10;3) returns the logarithm to base 3 of 10 (approximately 2.0959).=LOG(7^4;7) returns 4.see also LOG10, LN, POWERLOG10 functionbase-10 logarithmmw added one entryLOG10Returns the base-10 logarithm of a number.SyntaxLOG10(Number)Returns the logarithm to base 10 of Number.Example=LOG10(5) returns the base-10 logarithm of 5 (approximately 0.69897).see also LOG, LN, POWERCEILING functionrounding;up to multiples of significancemw added one entryCEILINGRounds a number up to the nearest multiple of Significance.SyntaxCEILING(Number; Significance; Mode)Number is the number that is to be rounded up.Significance is the number to whose multiple the value is to be rounded up.Mode is an optional value. If the Mode value is given and not equal to zero, and if Number and Significance are negative, then rounding is done based on the absolute value of Number. This parameter is ignored when exporting to MS Excel as Excel does not know any third parameter.If both parameters Number and Significance are negative and the Mode value is equal to zero or is not given, the results in $[officename] and Excel will differ after the import has been completed. If you export the spreadsheet to Excel, use Mode=1 to see the same results in Excel as in Calc.Example=CEILING(-11;-2) returns -10=CEILING(-11;-2;0) returns -10=CEILING(-11;-2;1) returns -12see also FLOOR, EVEN, ODD, MROUND, INT, TRUNC, ROUND, ROUNDDOWN, ROUNDUPPI functionPIReturns 3.14159265358979, the value of the mathematical constant PI to 14 decimal places.SyntaxPI()Example=PI() returns 3.14159265358979.MULTINOMIAL functionMULTINOMIAL Returns the factorial of the sum of the arguments divided by the product of the factorials of the arguments.SyntaxMULTINOMIAL(Number(s))Number(s) is a list of up to 30 numbers.Example=MULTINOMIAL(F11:H11) returns 1260, if F11 to H11 contain the values 2, 3 and 4. This corresponds to the formula =(2+3+4)! / (2!*3!*4!)POWER functionPOWERReturns a number raised to another number.SyntaxPOWER(Base; Exponent)Returns Base raised to the power of Exponent.The same result may be achieved by using the exponentiation operator ^:Base^ExponentExample=POWER(4;3) returns 64, which is 4 to the power of 3.=4^3 also returns 4 to the power of 3.see also EXP, LOG, SQRTSERIESSUM functionSERIESSUMSums the first terms of a power series.SERIESSUM(x;n;m;coefficients) = coefficient_1*x^n + coefficient_2*x^(n+m) + coefficient_3*x^(n+2m) +...+ coefficient_i*x^(n+(i-1)m)SyntaxSERIESSUM(X; N; M; Coefficients)X is the input value for the power series.N is the initial powerM is the increment to increase NCoefficients is a series of coefficients. For each coefficient the series sum is extended by one section.PRODUCT functionnumbers;multiplyingmultiplying;numbersmw added two entriesPRODUCTMultiplies all the numbers given as arguments and returns the product.SyntaxPRODUCT(Number1; Number2; ...; Number30)Number1 to 30 are up to 30 arguments whose product is to be calculated.PRODUCT returns number1 * number2 * number3 * ...Example=PRODUCT(2;3;4) returns 24.see also FACT, SUMSUMSQ functionsquare number additionssums;of square numbersmw added two entriesSUMSQIf you want to calculate the sum of the squares of numbers (totaling up of the squares of the arguments), enter these into the text fields.SyntaxSUMSQ(Number1; Number2; ...; Number30)Number1 to 30 are up to 30 arguments the sum of whose squares is to be calculated.ExampleIf you enter the numbers 2; 3 and 4 in the Number 1; 2 and 3 text boxes, 29 is returned as the result.MOD functionremainders of divisionsmw added one entryMODReturns the remainder when one integer is divided by another.SyntaxMOD(Dividend; Divisor) For integer arguments this function returns Dividend modulo Divisor, that is the remainder when Dividend is divided by Divisor.This function is implemented as Dividend - Divisor * INT(Dividend/Divisor) , and this formula gives the result if the arguments are not integer.Example=MOD(22;3) returns 1, the remainder when 22 is divided by 3.=MOD(11.25;2.5) returns 1.25.see also QUOTIENT, INTQUOTIENT functiondivisionsmw added one entryQUOTIENTReturns the integer part of a division operation.SyntaxQUOTIENT(Numerator; Denominator)Returns the integer part of Numerator divided by Denominator.QUOTIENT is equivalent to INT(numerator/denominator), except that it may report errors with different error codes.Example=QUOTIENT(11;3) returns 3. The remainder of 2 is lost.see also MOD, INT RADIANS functionconverting;degrees, into radiansmw added one entryRADIANSConverts degrees to radians.SyntaxRADIANS(Number)Number is the angle in degrees to be converted to radians.Example=RADIANS(90) returns 1.5707963267949, which is PI/2 to Calc's accuracy.see also DEGREES ROUND functionROUNDRounds a number to a certain number of decimal places.SyntaxROUND(Number; Count)Returns Number rounded to Count decimal places. If Count is omitted or zero, the function rounds to the nearest integer. If Count is negative, the function rounds to the nearest 10, 100, 1000, etc.This function rounds to the nearest number. See ROUNDDOWN and ROUNDUP for alternatives.Example=ROUND(2.348;2) returns 2.35=ROUND(-32.4834;3) returns -32.483. Change the cell format to see all decimals.=ROUND(2.348;0) returns 2.=ROUND(2.5) returns 3. =ROUND(987.65;-2) returns 1000.see also INT, TRUNC, ROUNDDOWN, ROUNDUP, CEILING, FLOOR, EVEN, ODD, MROUNDROUNDDOWN functionROUNDDOWNRounds a number down, toward zero, to a certain precision.SyntaxROUNDDOWN(Number; Count)Returns Number rounded down (towards zero) to Count decimal places. If Count is omitted or zero, the function rounds down to an integer. If Count is negative, the function rounds down to the next 10, 100, 1000, etc.This function rounds towards zero. See ROUNDUP and ROUND for alternatives.Example=ROUNDDOWN(1.234;2) returns 1.23.=ROUNDDOWN(45.67;0) returns 45.=ROUNDDOWN(-45.67) returns -45.=ROUNDDOWN(987.65;-2) returns 900.see also INT, TRUNC, ROUND, ROUNDUP, CEILING, FLOOR, EVEN, ODD, MROUNDROUNDUP functionROUNDUPRounds a number up, away from zero, to a certain precision.SyntaxROUNDUP(Number; Count)Returns Number rounded up (away from zero) to Count decimal places. If Count is omitted or zero, the function rounds up to an integer. If Count is negative, the function rounds up to the next 10, 100, 1000, etc.This function rounds away from zero. See ROUNDDOWN and ROUND for alternatives.Example=ROUNDUP(1.1111;2) returns 1.12.=ROUNDUP(1.2345;1) returns 1.3.=ROUNDUP(45.67;0) returns 46.=ROUNDUP(-45.67) returns -46.=ROUNDUP(987.65;-2) returns 1000.see also INT, TRUNC, ROUND, ROUNDDOWN, CEILING, FLOOR, EVEN, ODD, MROUNDSIN functionSINReturns the sine of the given angle (in radians).SyntaxSIN(Number)Returns the (trigonometric) sine of Number, the angle in radians.To return the sine of an angle in degrees, use the RADIANS function.Example=SIN(PI()/2) returns 1, the sine of PI/2 radians.=SIN(RADIANS(30)) returns 0.5, the sine of 30 degrees.see also COS, TAN, COT, ACOS, ASIN, ATAN, ATAN2, ACOTSINH functionSINHReturns the hyperbolic sine of a number.SyntaxSINH(Number)Returns the hyperbolic sine of Number.Example=SINH(0) returns 0, the hyperbolic sine of 0.see also COSH, TANH, COTH, ACOSH, ASINH, ATANH, ACOTHSUM functionadding;numbers in cell rangesmw added one entrySUMAdds all the numbers in a range of cells.SyntaxSUM(Number1; Number2; ...; Number30)Number 1 to Number 30 are up to 30 arguments whose sum is to be calculated.ExampleIf you enter the numbers 2; 3 and 4 in the Number 1; 2 and 3 text boxes, 9 will be returned as the result.=SUM(A1;A3;B5) calculates the sum of the three cells. =SUM (A1:E10) calculates the sum of all cells in the A1 to E10 cell range.Conditions linked by AND can be used with the function SUM() in the following manner:Example assumption: You have entered invoices into a table. Column A contains the date value of the invoice, column B the amounts. You want to find a formula that you can use to return the total of all amounts only for a specific month, e.g. only the amount for the period >=2008-01-01 to <2008-02-01. The range with the date values covers A1:A40, the range containing the amounts to be totaled is B1:B40. C1 contains the start date, 2008-01-01, of the invoices to be included and C2 the date, 2008-02-01, that is no longer included.Enter the following formula as an array formula:=SUM((A1:A40>=C1)*(A1:A40<C2)*B1:B40)In order to enter this as an array formula, you must press the Shift+Command+ Ctrl+ Enter keys instead of simply pressing the Enter key to close the formula. The formula will then be shown in the Formula bar enclosed in braces.{=SUM((A1:A40>=C1)*(A1:A40<C2)*B1:B40)}The formula is based on the fact that the result of a comparison is 1 if the criterion is met and 0 if it is not met. The individual comparison results will be treated as an array and used in matrix multiplication, and at the end the individual values will be totaled to give the result matrix.SUMIF functionadding;specified numbersmw added one entrySUMIFAdds the cells specified by a given criteria. This function is used to browse a range when you search for a certain value.SyntaxSUMIF(Range; Criteria; SumRange)Range is the range to which the criteria are to be applied.Criteria is the cell in which the search criterion is shown, or the search criterion itself. If the criteria is written into the formula, it has to be surrounded by double quotes.SumRange is the range from which values are summed. If this parameter has not been indicated, the values found in the Range are summed.SUMIF supports the reference concatenation operator (~) only in the Criteria parameter, and only if the optional SumRange parameter is not given.ExampleTo sum up only negative numbers: =SUMIF(A1:A10;"<0")=SUMIF(A1:A10;">0";B1:10) - sums values from the range B1:B10 only if the corresponding values in the range A1:A10 are >0.See COUNTIF() for some more syntax examples that can be used with SUMIF().SUMIFS functionadding;specified numberskschenk added one entrySUMIFSSum the values of cells in a range that meet multiple criteria in multiple ranges.SyntaxSUMIFS( Reference R ; Reference R1 ; Criterion C1 [ ; Reference R2 ; Criterion C2 ]... )Sums the value of cells in range R that meet the Criterion C1 in the reference range R1, and the Criterion C2 in the reference range R2, and so on. A Criterion is a single cell Reference, Number or Text. If the criterion is written into the formula, it has to be surrounded by double quotes.All Reference ranges shall have the same dimension and size, else an Error is returned.ExampleSum up cells in range A1:10 if the entries in B1:B10 are positive, and the entries in D1:D10 are the letter "A": =SUMIFS(A1:A10;B1:B10;">0";D1:D10;"A")See COUNTIFS() for some more syntax examples that can be used with SUMIFS().TAN functionTANReturns the tangent of the given angle (in radians).SyntaxTAN(Number)Returns the (trigonometric) tangent of Number, the angle in radians.To return the tangent of an angle in degrees, use the RADIANS function.Example=TAN(PI()/4) returns 1, the tangent of PI/4 radians.=TAN(RADIANS(45)) returns 1, the tangent of 45 degrees.see also COS, SIN, COT, ACOS, ASIN, ATAN, ATAN2, ACOTTANH functionTANHReturns the hyperbolic tangent of a number.SyntaxTANH(Number)Returns the hyperbolic tangent of Number.Example=TANH(0) returns 0, the hyperbolic tangent of 0.see also COSH, SINH, COTH, ACOSH, ASINH, ATANH, ACOTHAutoFilter function; subtotalssums;of filtered datafiltered data; sumsSUBTOTAL functionmw made "sums..." a two level entrySUBTOTALCalculates subtotals. If a range already contains subtotals, these are not used for further calculations. Use this function with the AutoFilters to take only the filtered records into account.SyntaxSUBTOTAL(Function; Range)Function is a number that stands for one of the following functions:
Function indexFunction1AVERAGE2COUNT3COUNTA4MAX5MIN6PRODUCT7STDEV8STDEVP9SUM10VAR11VARP
Range is the range whose cells are included.ExampleYou have a table in the cell range A1:B5 containing cities in column A and accompanying figures in column B. You have used an AutoFilter so that you only see rows containing the city Hamburg. You want to see the sum of the figures that are displayed; that is, just the subtotal for the filtered rows. In this case the correct formula would be:=SUBTOTAL(9;B2:B5)Euro; convertingEUROCONVERT functionEUROCONVERTinsert link in financialConverts between old European national currency and to and from Euros.SyntaxEUROCONVERT(Value; "From_currency"; "To_currency", full_precision, triangulation_precision)Value is the amount of the currency to be converted.From_currency and To_currency are the currency units to convert from and to respectively. These must be text, the official abbreviation for the currency (for example, "EUR"). The rates (shown per Euro) were set by the European Commission.Full_precision is optional. If omitted or False, the result is rounded according to the decimals of the To currency. If Full_precision is True, the result is not rounded.Triangulation_precision is optional. If Triangulation_precision is given and >=3, the intermediate result of a triangular conversion (currency1,EUR,currency2) is rounded to that precision. If Triangulation_precision is omitted, the intermediate result is not rounded. Also if To currency is "EUR", Triangulation_precision is used as if triangulation was needed and conversion from EUR to EUR was applied.Examples=EUROCONVERT(100;"ATS";"EUR") converts 100 Austrian Schillings into Euros.=EUROCONVERT(100;"EUR";"DEM") converts 100 Euros into German Marks.CONVERT functionCONVERTConverts a value from one unit of measurement to another unit of measurement. The conversion factors are given in a list in the configuration.At one time the list of conversion factors included the legacy European currencies and the Euro (see examples below). We suggest using the new function EUROCONVERT for converting these currencies.SyntaxCONVERT(value;"text";"text")Example=CONVERT(100;"ATS";"EUR") returns the Euro value of 100 Austrian Schillings.=CONVERT(100;"EUR";"DEM") converts 100 Euros into German Marks. ODD functionrounding;up/down to nearest odd integermw added one entryODDRounds a positive number up to the nearest odd integer and a negative number down to the nearest odd integer.SyntaxODD(Number) Returns Number rounded to the next odd integer up, away from zero.Example=ODD(1.2) returns 3.=ODD(1) returns 1.=ODD(0) returns 1.=ODD(-3.1) returns -5.see also CEILING, FLOOR, EVEN, MROUND, INT, TRUNC, ROUND, ROUNDDOWN, ROUNDUPFLOOR functionrounding;down to nearest multiple of significancemw added one entryFLOORRounds a number down to the nearest multiple of Significance.SyntaxFLOOR(Number; Significance; Mode)Number is the number that is to be rounded down.Significance is the value to whose multiple the number is to be rounded down.Mode is an optional value. If the Mode value is given and not equal to zero, and if Number and Significance are negative, then rounding is done based on the absolute value of the number. This parameter is ignored when exporting to MS Excel as Excel does not know any third parameter.If both parameters Number and Significance are negative, and if the Mode value is equal to zero or is not specified, then the results in $[officename] Calc and Excel will differ after exporting. If you export the spreadsheet to Excel, use Mode=1 to see the same results in Excel as in Calc.Example=FLOOR( -11;-2) returns -12=FLOOR( -11;-2;0) returns -12=FLOOR( -11;-2;1) returns -10see also CEILING, EVEN, ODD, MROUND, INT, TRUNC, ROUND, ROUNDDOWN, ROUNDUPSIGN functionalgebraic signsmw added one entrySIGNReturns the sign of a number. Returns 1 if the number is positive, -1 if negative and 0 if zero.SyntaxSIGN(Number)Number is the number whose sign is to be determined.Example=SIGN(3.4) returns 1.=SIGN(-4.5) returns -1.see also ABSMROUND functionnearest multiplemw added one entryMROUNDReturns a number rounded to the nearest multiple of another number.SyntaxMROUND(Number; Multiple)Returns Number rounded to the nearest multiple of Multiple. An alternative implementation would be Multiple * ROUND(Number/Multiple).Example=MROUND(15.5;3) returns 15, as 15.5 is closer to 15 (= 3*5) than to 18 (= 3*6).=MROUND(1.4;0.5) returns 1.5 (= 0.5*3).see also CEILING, FLOOR, EVEN, ODD, INT, TRUNC, ROUND, ROUNDDOWN, ROUNDUPSQRT functionsquare roots;positive numbersmw added one entrySQRTReturns the positive square root of a number.SyntaxSQRT(Number)Returns the positive square root of Number. Number must be positive.Example=SQRT(16) returns 4.=SQRT(-16) returns an invalid argument error.see also SQRTPI, POWERSQRTPI functionsquare roots;products of Pimw added one entrySQRTPIReturns the square root of (PI times a number).SyntaxSQRTPI(Number)Returns the positive square root of (PI multiplied by Number).This is equivalent to SQRT(PI()*Number).Example=SQRTPI(2) returns the squareroot of (2PI), approximately 2.506628.see also SQRTrandom numbers; between limitsRANDBETWEEN functionmw changed "random numbers;"RANDBETWEENReturns an integer random number in a specified range.SyntaxRANDBETWEEN(Bottom; Top)Returns an integer random number between integers Bottom and Top (both inclusive).This function produces a new random number each time Calc recalculates. To force Calc to recalculate manually press Shift+CommandCtrl+F9.To generate random numbers which never recalculate, copy cells containing this function, and use Edit - Paste Special (with Paste All and Formulas not marked and Numbers marked).Example=RANDBETWEEN(20;30) returns an integer of between 20 and 30.see also RANDRAND functionrandom numbers;between 0 and 1mw added one entryRANDReturns a random number between 0 and 1.The value of 0 can be returned, the value of 1 not.this is really true after issue 53642 will be fixedSyntaxRAND()This function produces a new random number each time Calc recalculates. To force Calc to recalculate manually press Shift+CommandCtrl+F9.To generate random numbers which never recalculate, copy cells each containing =RAND(), and use Edit - Paste Special (with Paste All and Formulas not marked and Numbers marked).Example=RAND() returns a random number between 0 and 1.see also RANDBETWEENCOUNTIF functioncounting;specified cellsmw added one entryCOUNTIFReturns the number of cells that meet with certain criteria within a cell range.SyntaxCOUNTIF(Range; Criteria)Range is the range to which the criteria are to be applied.Criteria indicates the criteria in the form of a number, an expression or a character string. These criteria determine which cells are counted. You may also enter a search text in the form of a regular expression, e.g. b.* for all words that begin with b. You may also indicate a cell range that contains the search criterion. If you search for literal text, enclose the text in double quotes.ExampleA1:A10 is a cell range containing the numbers 2000 to 2009. Cell B1 contains the number 2006. In cell B2, you enter a formula:=COUNTIF(A1:A10;2006) - this returns 1=COUNTIF(A1:A10;B1) - this returns 1=COUNTIF(A1:A10;">=2006") - this returns 4=COUNTIF(A1:A10;"<"&B1) - when B1 contains 2006, this returns 6=COUNTIF(A1:A10;C2) where cell C2 contains the text >2006 counts the number of cells in the range A1:A10 which are >2006 To count only negative numbers: =COUNTIF(A1:A10;"<0")COUNTIFS functioncounting;specified cellskschenk added one entryCOUNTIFSCount the number of cells that meet multiple criteria in multiple ranges.SyntaxCOUNTIFS( Reference R1 ; Criterion C1 [ ; Reference R2 ; Criterion C2 ]... )Reference R1 is the range to which the Criterion C1 applies. Reference R2 is the range to which the Criterion C2 applies, and so on.All Reference ranges shall have the same dimension and size, else an Error is returned. Criteria indicates the criteria in the form of a number, an expression or a character string. These criteria determine which cells are counted. You may also enter a search text in the form of a regular expression, e.g. b.* for all words that begin with b. You may also indicate a cell range that contains the search criterion. If you search for literal text, enclose the text in double quotes.Examples:A1:A10 is a cell range containing the numbers 2000 to 2009. B1:B10 is a cell range containing the numbers 2007 to 2016:=COUNTIFS(A1:A10;2006;B1:B10;2014) - this returns 2=COUNTIFS(A1:A10;">=2006";B1:B10;">=2006") - this returns 14