formula-math
v0.0.2
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* ABS ** Syntax
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#+TITLE: Math functions
ABS ** Syntax
ABS(number)
** Description
Returns the absolute value of a number.** Examples #+BEGIN_EXAMPLE ABS(-12) = 12 #+END_EXAMPLE
#+BEGIN_EXAMPLE
ABS(12) = 12
#+END_EXAMPLE
#+BEGIN_EXAMPLE
ABS(-100) = 100
#+END_EXAMPLEACOS
Returns the Inverse Cosine
#+BEGIN_EXAMPLE ACOS(0.75) = 0.7227342478134157 #+END_EXAMPLE
ACOSH
Returns the hyperbolic arccosine of a number.
#+BEGIN_EXAMPLE ACOSH(2) = 1.3169578969248166 #+END_EXAMPLE
ACOT
Returns the principal value of the arccotangent, or inverse cotangent, of a number.
#+BEGIN_EXAMPLE ACOT(2) = 0.46364760900080615 #+END_EXAMPLE
ACOTH
Returns the inverse hyperbolic cotangent of a number.
#+BEGIN_EXAMPLE ACOTH(6) = 0.16823611831060645 #+END_EXAMPLE
ADD
Add two factors.
#+BEGIN_EXAMPLE ADD(2, 2) = 4 #+END_EXAMPLE
TODO AGGREGATE
Returns an aggregate in a list or database.
Reference form
AGGREGATE(function_num, options, ref1, [ref2], …)
Array form
AGGREGATE(function_num, options, array, [k])
Agreement Functions:
| function_num | Function | |--------------+----------------| | 1 | AVERAGE | | 2 | COUNT | | 3 | COUNTA | | 4 | MAX | | 5 | MIN | | 6 | PRODUCT | | 7 | STDEV.S | | 8 | STDEV.P | | 9 | SUM | | 10 | VAR.S | | 11 | VAR.P | | 12 | MEDIAN | | 13 | MODE.SNGL | | 14 | LARGE | | 15 | SMALL | | 16 | PERCENTILE.INC | | 17 | QUARTILE.INC | | 18 | PERCENTILE.EXC | | 19 | QUARTILE.EXC |
TODO ARABIC
Converts a Roman numeral to an Arabic numeral.
ASIN
Returns the arcsine, or inverse sine, of a number.
#+BEGIN_EXAMPLE ASIN(-0.5) = -0.5235987755982988 #+END_EXAMPLE
ASINH
Returns the hyperbolic arcsine of a number.
#+BEGIN_EXAMPLE ASINH(10) = 2.99822295029797 #+END_EXAMPLE
ATAN
Returns the arctangent (in radians) of a number.
#+BEGIN_EXAMPLE ATAN(10) = 1.4711276743037345 #+END_EXAMPLE
ATAN2
Returns the arctangent of the quotient of its arguments.
#+BEGIN_EXAMPLE ATAN2(90, 15) = 1.4056476493802699 #+END_EXAMPLE
ATANH
Returns the hyperbolic arctangent of a number.
#+BEGIN_EXAMPLE ATANH(0.5) = 0.5493061443340549 #+END_EXAMPLE
BASE
Converts a number into a text representation with the given radix (base).
#+BEGIN_EXAMPLE BASE(7,2) = "111" #+END_EXAMPLE
CEILING
Returns number rounded up, away from zero, to the nearest multiple of significance.
#+BEGIN_EXAMPLE CEILING(2.5, 1) = 3 #+END_EXAMPLE
#+BEGIN_EXAMPLE CEILING(-2.5, -2) = -4 #+END_EXAMPLE
#+BEGIN_EXAMPLE CEILING(-2.5, 2) = -2 #+END_EXAMPLE
#+BEGIN_EXAMPLE CEILING(1.5, 0.1) = 1.5 #+END_EXAMPLE
#+BEGIN_EXAMPLE CEILING(0.234, 0.01) = 0.24 #+END_EXAMPLE
COMBIN
Returns the number of combinations for a given number of items.
#+BEGIN_EXAMPLE COMBIN(8,2) = 28 #+END_EXAMPLE
TODO COMBINA
Returns the number of combinations (with repetitions) for a given number of items.
COS
Returns the cosine of the given angle.
#+BEGIN_EXAMPLE 0.5001710745970701=COS(1.047) #+END_EXAMPLE
COSH
Returns the hyperbolic cosine of a number.
#+BEGIN_EXAMPLE 27.308232836016483 = COSH(4) #+END_EXAMPLE
COT
Return the cotangent of an angle specified in radians.
#+BEGIN_EXAMPLE -0.15611995216165922 = COT(30) #+END_EXAMPLE
COTH
Return the hyperbolic cotangent of a hyperbolic angle.
#+BEGIN_EXAMPLE 1.0373147207275482 = COTH(2) #+END_EXAMPLE
CSC
Returns the cosecant of an angle specified in radians.
#+BEGIN_EXAMPLE 1.5377805615408537 = CSC(15) #+END_EXAMPLE
CSCH
Return the hyperbolic cosecant of an angle specified in radians.
#+BEGIN_EXAMPLE 0.46964244059522464=CSCH(1.5) #+END_EXAMPLE
DECIMAL
Converts a text representation of a number in a given base into a decimal number.
#+BEGIN_EXAMPLE 255 = DECIMAL("FF",16) #+END_EXAMPLE
DEGREES
Converts radians into degrees.
#+BEGIN_EXAMPLE 180 = DEGREES(PI()) #+END_EXAMPLE
DIVIDE
Divide two factors.
#+BEGIN_EXAMPLE DIVIDE(10, 5) = 2 #+END_EXAMPLE
EQ
Check equivalence of two factors.
#+BEGIN_EXAMPLE EQ(1, +"1") #+END_EXAMPLE
EVEN
Returns number rounded up to the nearest even integer.
#+BEGIN_EXAMPLE 2=EVEN(1.5) #+END_EXAMPLE
#+BEGIN_EXAMPLE 4=EVEN(3) #+END_EXAMPLE
#+BEGIN_EXAMPLE 2=EVEN(2) #+END_EXAMPLE
#+BEGIN_EXAMPLE -2=EVEN(-1) #+END_EXAMPLE
EXP
Returns e raised to the power of number.
#+BEGIN_EXAMPLE EXP(10) = 22026.465794806707 #+END_EXAMPLE
FACT
Returns the factorial of a number.
#+BEGIN_EXAMPLE FACT(5) = 120 #+END_EXAMPLE
#+BEGIN_EXAMPLE FACT(1.9) = 1 #+END_EXAMPLE
#+BEGIN_EXAMPLE FACT(0) = 1 #+END_EXAMPLE
FACTDOUBLE
Returns the double factorial of a number.
#+BEGIN_EXAMPLE FACTDOUBLE(6) = 48 #+END_EXAMPLE
#+BEGIN_EXAMPLE FACTDOUBLE(7) = 105 #+END_EXAMPLE
FLOOR
Returns a number rounded down to a multiple of another number.
#+BEGIN_EXAMPLE FLOOR(2.5, 1) = 2 #+END_EXAMPLE
#+BEGIN_EXAMPLE FLOOR(0.234, 0.01) = 0.23 #+END_EXAMPLE
TODO GCD
Returns the greatest common divisor of two or more integers. The greatest common divisor is the largest integer that divides both number1 and number2 without a remainder.
#+BEGIN_EXAMPLE GCD(5, 2) = 1 #+END_EXAMPLE
#+BEGIN_EXAMPLE GCD(24, 36) = 12 #+END_EXAMPLE
GT
Returns true when a > b.
#+BEGIN_EXAMPLE GT(4, 2) #+END_EXAMPLE
#+BEGIN_EXAMPLE NOT(GT(2, 4)) #+END_EXAMPLE
GTE
Returns true when a >= b.
#+BEGIN_EXAMPLE GTE(4, 2) #+END_EXAMPLE
#+BEGIN_EXAMPLE GTE(2, 2) #+END_EXAMPLE
INT
Rounds a number down to the nearest integer.
#+BEGIN_EXAMPLE INT(8.9) = 8 #+END_EXAMPLE
TODO LCM
LOG
Returns a number rounded down to a multiple of another number.
#+BEGIN_EXAMPLE LOG(10) = 1 #+END_EXAMPLE
#+BEGIN_EXAMPLE LOG(86, 2.7182818) = 4.454347342888286 #+END_EXAMPLE
LOG10
Returns the base-10 logarithm of a number.
#+BEGIN_EXAMPLE LOG10(10) = 1 #+END_EXAMPLE
LT
Returns true when a < b.
#+BEGIN_EXAMPLE LT(2, 4) #+END_EXAMPLE
#+BEGIN_EXAMPLE NOT(LT(4, 2)) #+END_EXAMPLE
LTE
Returns true when a >= b.
#+BEGIN_EXAMPLE LTE(2, 4) #+END_EXAMPLE
#+BEGIN_EXAMPLE LTE(2, 2) #+END_EXAMPLE
TODO MDETERM
Returns the matrix determinant of an array.
Look at https://github.com/sloisel/numeric/blob/master/src/numeric.js for ideas to implement.
MINUS
Subtract two factors.
#+BEGIN_EXAMPLE MINUS(2, 2) = 0 #+END_EXAMPLE
TODO MINVERSE
Returns the inverse matrix for the matrix stored in an array.
TODO MMULT
Returns the matrix product of two arrays. The result is an array with the same number of rows as array1 and the same number of columns as array2.
MOD
Returns the remainder when of two factors.
#+BEGIN_EXAMPLE MOD(3, 2) = 1 #+END_EXAMPLE
#+BEGIN_EXAMPLE MOD(11, 3) = 2 #+END_EXAMPLE
TODO MROUND
Returns a number rounded to the desired multiple.
TODO MULTINOMIAL
Returns the ratio of the factorial of a sum of values to the product of factorials.
MULTIPLY
Multiply two factors.
#+BEGIN_EXAMPLE MULTIPLY(2, 2) = 4 #+END_EXAMPLE
#+BEGIN_EXAMPLE MULTIPLY(4, 2) = 8
#+END_EXAMPLETODO ODD
Returns number rounded up to the nearest odd integer.
PI
Returns the value for the univeral constant PI.
#+BEGIN_EXAMPLE PI() = 3.141592653589793 #+END_EXAMPLE
POWER
Returns the the nth power of a number.
#+BEGIN_EXAMPLE POWER(16, 2) = 256 #+END_EXAMPLE
PRODUCT
Returns the product of the arguments.
#+BEGIN_EXAMPLE PRODUCT( 3, 6, 2, 8, 5 ) = 1440 #+END_EXAMPLE
#+BEGIN_EXAMPLE PRODUCT( 2, 2, 2, 2 ) = 16 #+END_EXAMPLE
QUOTIENT
Returns the integer portion of a divisor.
#+BEGIN_EXAMPLE QUOTIENT(5, 2) = 2 #+END_EXAMPLE
RADIANS
Convert degrees to radians.
#+BEGIN_EXAMPLE RADIANS(180) = PI() #+END_EXAMPLE
RAND
Generate a random number.
#+BEGIN_EXAMPLE RAND() #+END_EXAMPLE
RANDBETWEEN
Generate a random number between two values.
#+BEGIN_EXAMPLE RANDBETWEEN(0, 100) #+END_EXAMPLE
TODO ROMAN
Converts an arabic numeral to roman, as text.
ROUND
Round number with precision.
#+BEGIN_EXAMPLE ROUND(14.20223234, 2) = 14.20 #+END_EXAMPLE
TODO ROUNDDOWN
ROUNDUP
Rounds a number up, away from 0 (zero).
#+BEGIN_EXAMPLE 4 = ROUNDUP(3.2,0) #+END_EXAMPLE
#+BEGIN_EXAMPLE 77 = ROUNDUP(76.9,0) #+END_EXAMPLE
#+BEGIN_EXAMPLE 3.142 = ROUNDUP(3.14159, 3) #+END_EXAMPLE
#+BEGIN_EXAMPLE -3.2 = ROUNDUP(-3.14159, 1) #+END_EXAMPLE
TODO SEC
TODO SECH
TODO SERIESSUM
TODO SIGN
TODO SIN
TODO SQRT
TODO SQRTPI
TODO SUBTOTAL
SUM
Calculate SUM of list of numbers.
#+BEGIN_EXAMPLE SUM({1,1,1,1}, 10) = 14 #+END_EXAMPLE