Mathematical Functions
This category contains the Mathematical functions for Calc. To open the Function Wizard, choose Insert - Function.
CONVERT
Converts 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.
Syntax
CONVERT(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.
FLOOR
Rounds a number down to the nearest multiple of Significance.
Syntax
FLOOR(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.
Example
=FLOOR( -11;-2)
returns -12
=FLOOR( -11;-2;0)
returns -12
=FLOOR( -11;-2;1)
returns -10
SIGN
Returns the sign of a number. Returns 1 if the number is positive, -1 if negative and 0 if zero.
Syntax
SIGN(Number)
Number is the number whose sign is to be determined.
Example
=SIGN(3.4)
returns 1.
=SIGN(-4.5)
returns -1.
MROUND
Returns a number rounded to the nearest multiple of another number.
Syntax
MROUND(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).
COUNTBLANK
Returns the number of empty cells.
Syntax
COUNTBLANK(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.
ACOS
Returns the inverse trigonometric cosine of a number.
Syntax
ACOS(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.
ACOSH
Returns the inverse hyperbolic cosine of a number.
Syntax
ACOSH(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.
SQRT
Returns the positive square root of a number.
Syntax
SQRT(Number)
Returns the positive square root of Number.
Number must be positive.
Example
=SQRT(16)
returns 4.
=SQRT(-16)
returns an invalid argument
error.
ACOT
Returns the inverse cotangent (the arccotangent) of the given number.
Syntax
ACOT(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.
ACOTH
Returns the inverse hyperbolic cotangent of the given number.
Syntax
ACOTH(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.
ASIN
Returns the inverse trigonometric sine of a number.
Syntax
ASIN(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.
ASINH
Returns the inverse hyperbolic sine of a number.
Syntax
ASINH(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.
ATAN
Returns the inverse trigonometric tangent of a number.
Syntax
ATAN(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.
ATAN2
Returns the inverse trigonometric tangent of the specified x and y coordinates.
Syntax
ATAN2(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.
ATANH
Returns the inverse hyperbolic tangent of a number.
Syntax
ATANH(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.
COS
Returns the cosine of the given angle (in radians).
Syntax
COS(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.
COSH
Returns the hyperbolic cosine of a number.
Syntax
COSH(Number)
Returns the hyperbolic cosine of Number.
Example
=COSH(0)
returns 1, the hyperbolic cosine of 0.
COT
Returns the cotangent of the given angle (in radians).
Syntax
COT(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.
SQRTPI
Returns the square root of (PI times a number).
Syntax
SQRTPI(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.
COTH
Returns the hyperbolic cotangent of a given number (angle).
Syntax
COTH(Number)
Returns the hyperbolic cotangent of Number.
Example
=COTH(1)
returns the hyperbolic cotangent of 1, approximately 1.3130.
DEGREES
Converts radians into degrees.
Syntax
DEGREES(Number)
Number is the angle in radians to be converted to degrees.
Example
=DEGREES(PI())
returns 180 degrees.
EXP
Returns e raised to the power of a number. The constant e has a value of approximately 2.71828182845904.
Syntax
EXP(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.
FACT
Returns the factorial of a number.
Syntax
FACT(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.
INT
Rounds a number down to the nearest integer.
Syntax
INT(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.
EVEN
Rounds a positive number up to the next even integer and a negative number down to the next even integer.
Syntax
EVEN(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.
GCD
Returns 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.
Syntax
GCD(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
The result is the greatest common divisor of a list of numbers.
Syntax
GCD_ADD(Number(s))
Number(s) is a list of up to 30 numbers.
Example
=GCD_ADD(5;15;25)
returns 5.
ISEVEN
Returns TRUE if the value is an even integer, or FALSE if the value is odd.
Syntax
ISEVEN(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 FALSE
ISODD
Returns TRUE if the value is odd, or FALSE if the number is even.
Syntax
ISODD(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 TRUE
RANDBETWEEN
Returns an integer random number in a specified range.
Syntax
RANDBETWEEN(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+Ctrl+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.
LCM
Returns the least common multiple of one or more integers.
Syntax
LCM(Integer1; Integer2; ...; Integer30)
Integer1 to 30 are up to 30 integers whose lowest common multiple is to be calculated.
Example
If 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
The result is the lowest common multiple of a list of numbers.
Syntax
LCM_ADD(Number(s))
Number(s) is a list of up to 30 numbers.
Example
=LCM_ADD(5;15;25)
returns 75.
COMBINadd a link there -->
Returns the number of combinations for elements without repetition.
Syntax
COMBIN(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.
COMBINAadd a link there -->
Returns the number of combinations of a subset of items including repetitions.
Syntax
COMBINA(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)!)
Example
=COMBINA(3;2)
returns 6.
TRUNC
Truncates a number by removing decimal places.
Syntax
TRUNC(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 Tools - Options - LibreOffice 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.
LN
Returns the natural logarithm based on the constant e of a number. The constant e has a value of approximately 2.71828182845904.
Syntax
LN(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.
LOG
Returns the logarithm of a number to the specified base.
Syntax
LOG(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.
LOG10
Returns the base-10 logarithm of a number.
Syntax
LOG10(Number)
Returns the logarithm to base 10 of Number.
Example
=LOG10(5)
returns the base-10 logarithm of 5 (approximately 0.69897).
CEILING
Rounds a number up to the nearest multiple of Significance.
Syntax
CEILING(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.
Example
=CEILING(-11;-2)
returns -10
=CEILING(-11;-2;0)
returns -10
=CEILING(-11;-2;1)
returns -12
PI
Returns 3.14159265358979, the value of the mathematical constant PI to 14 decimal places.
Syntax
PI()
Example
=PI()
returns 3.14159265358979.
RAND
Returns a random number between 0 and 1.
Syntax
RAND()
This function produces a new random number each time Calc recalculates. To force Calc to recalculate manually press Shift+Ctrl+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.
MULTINOMIAL
Returns the factorial of the sum of the arguments divided by the product of the factorials of the arguments.
Syntax
MULTINOMIAL(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
Returns a number raised to another number.
Syntax
POWER(Base; Exponent)
Returns Base raised to the power of Exponent.
The same result may be achieved by using the exponentiation operator ^:
Base^Exponent
Example
=POWER(4;3)
returns 64, which is 4 to the power of 3.
=4^3 also returns 4 to the power of 3.
SERIESSUM
Sums 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)
Syntax
SERIESSUM(X; N; M; Coefficients)
X is the input value for the power series.
N is the initial power
M is the increment to increase N
Coefficients is a series of coefficients. For each coefficient the series sum is extended by one section.
PRODUCT
Multiplies all the numbers given as arguments and returns the product.
Syntax
PRODUCT(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.
SUMSQ
If 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.
Syntax
SUMSQ(Number1; Number2; ...; Number30)
Number1 to 30 are up to 30 arguments the sum of whose squares is to be calculated.
Example
If you enter the numbers 2
; 3
and 4
in the Number 1; 2 and 3 text boxes, 29 is returned as the result.
MOD
Returns the remainder when one integer is divided by another.
Syntax
MOD(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.
QUOTIENT
Returns the integer part of a division operation.
Syntax
QUOTIENT(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.
RADIANS
Converts degrees to radians.
Syntax
RADIANS(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.
ROUND
Rounds a number to a certain number of decimal places.
Syntax
ROUND(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.
ROUNDDOWN
Rounds a number down, toward zero, to a certain precision.
Syntax
ROUNDDOWN(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.
COUNTIF
Returns the number of cells that meet with certain criteria within a cell range.
The search supports regular expressions. You can enter "all.*", for example to find the first location of "all" followed by any characters. If you want to search for a text that is also a regular expression, you must precede every character with a \ character. You can switch the automatic evaluation of regular expression on and off in Tools - Options - LibreOffice Calc - Calculate.
Syntax
COUNTIF(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.
Example
A1: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")
ROUNDUP
Rounds a number up, away from zero, to a certain precision.
Syntax
ROUNDUP(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.
SIN
Returns the sine of the given angle (in radians).
Syntax
SIN(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.
SINH
Returns the hyperbolic sine of a number.
Syntax
SINH(Number)
Returns the hyperbolic sine of Number.
Example
=SINH(0)
returns 0, the hyperbolic sine of 0.
SUM
Adds all the numbers in a range of cells.
Syntax
SUM(Number1; Number2; ...; Number30)
Number 1 to Number 30 are up to 30 arguments whose sum is to be calculated.
Example
If 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+ 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
Adds the cells specified by a given criteria. This function is used to browse a range when you search for a certain value.
The search supports regular expressions. You can enter "all.*", for example to find the first location of "all" followed by any characters. If you want to search for a text that is also a regular expression, you must precede every character with a \ character. You can switch the automatic evaluation of regular expression on and off in Tools - Options - LibreOffice Calc - Calculate.
Syntax
SUMIF(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. |
Example
To 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().
TAN
Returns the tangent of the given angle (in radians).
Syntax
TAN(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.
TANH
Returns the hyperbolic tangent of a number.
Syntax
TANH(Number)
Returns the hyperbolic tangent of Number.
Example
=TANH(0)
returns 0, the hyperbolic tangent of 0.
SUBTOTAL
Calculates 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.
Syntax
SUBTOTAL(Function; Range)
Function is a number that stands for one of the following functions:
Function index | Function |
1 | AVERAGE |
2 | COUNT |
3 | COUNTA |
4 | MAX |
5 | MIN |
6 | PRODUCT |
7 | STDEV |
8 | STDEVP |
9 | SUM |
10 | VAR |
11 | VARP |
Range is the range whose cells are included.
Example
You 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)
EUROCONVERT
Converts between old European national currency and to and from Euros.
Syntax
EUROCONVERT(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.
ODD
Rounds a positive number up to the nearest odd integer and a negative number down to the nearest odd integer.
Syntax
ODD(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.
ABS
Returns the absolute value of a number.
Syntax
ABS(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.
Related Topics
Calc functions in the OpenOffice.org Wiki