ref: 9ca327dd06c30341d984bff84727ea451b428db7
dir: /man/2/math-elem/
.TH MATH-ELEM 2 .SH NAME Math: cbrt, sqrt, pow, pow10, hypot, exp, expm1, log, log10, log1p, cos, cosh, sin, sinh, tan, tanh, acos, asin, acosh, asinh, atan, atanh, atan2, lgamma, erf, erfc, j0, j1, y0, y1, jn, yn \- elementary functions of applied mathematics .SH SYNOPSIS .EX include "math.m"; math := load Math Math->PATH; cbrt, sqrt: fn(x: real): real; pow: fn(x, y: real): real; pow10: fn(p: int): real; hypot: fn(x, y: real): real; exp, expm1, log, log10, log1p: fn(x: real): real; cos, cosh, sin, sinh, tan, tanh: fn(x: real): real; acos, asin, acosh, asinh, atan, atanh: fn(x: real): real; atan2: fn(y, x: real) of real; lgamma: fn(x: real): (int,real); erf, erfc: fn(x: real): real; j0, j1, y0, y1: fn(x: real): real; jn, yn: fn(n: int, x: real): real; .EE .SH DESCRIPTION These routines implement the basic elementary functions of applied mathematics. .PP .BI Sqrt( x ) computes the square root of .IR x , .BI cbrt( x ) the cube root. .BI Pow( x , y ) computes .I x raised to the exponent .IR y ; .B pow10 raises 10 to the integer power .IR n . .BI Hypot( x , y ) computes \f5sqrt(\f2x\f5*\f2x\f5+\f2y\f5*\f2y\f5)\f1. .PP .BI Exp( x ) returns the exponential function of .IR x , and .BI expm1( x ) is .BI exp( x )-1. .PP .BI Log( x ) returns the natural logarithm of .IR x , while .BI log10( x ) returns the logarithm base 10 and .BI log1p( x ) returns the logarithm of .BI 1+ x\f1. .PP The trigonometric functions use radians. The ranges of the inverse functions are: .BI acos in [0,\(*p]; .B asin in [-\(*p/2,\(*p/2]; .B atan in [-\(*p/2,\(*p/2]; and .BI atan2( y , x ) .B = .BI arctan( y / x ) in [-\(*p,\(*p]; .PP The gamma function is implemented by .BI lgamma( x )\f1; the tuple it returns, say .BI ( s , lg )\f1, encodes the gamma function by .RI \(*G( x ) = .IB s *exp( lg )\f1. .PP The hyperbolic trigonometric functions .B sinh etc. behave as expected. .B Erf is the error function and .BI erfc( x ) is .BI 1-erf( x )\f1. .PP The Bessel functions are computed by .BI j0 , .BI j1 , .BI jn , .BI y0 , .BI y1 , and .BR yn . .SH SOURCE .B /libinterp/math.c .SH SEE ALSO .IR math-intro (2)