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;
Sqrt(x) computes the square root of x, cbrt(x) the cube root. Pow(x,y) computes x raised to the exponent y; pow10 raises 10 to the integer power n. Hypot(x,y) computes sqrt(x*x+y*y).
Exp(x) returns the exponential function of x, and expm1(x) is exp(x)-1.
Log(x) returns the natural logarithm of x, while log10(x) returns the logarithm base 10 and log1p(x) returns the logarithm of 1+x.
The trigonometric functions use radians. The ranges of the inverse functions are: acos in [0,PI]; asin in [-PI/2,PI/2]; atan in [-PI/2,PI/2]; and atan2(y,x) = arctan(y/x) in [-PI,PI];
The gamma function is implemented by lgamma(x); the tuple it returns, say (s,lg), encodes the gamma function by ¿(x) = s*exp(lg).
The hyperbolic trigonometric functions sinh etc. behave as expected. Erf is the error function and erfc(x) is 1-erf(x).
The Bessel functions are computed by j0, j1, jn, y0, y1, and yn.
MATH-ELEM(2 ) | Rev: Thu Feb 15 14:43:27 GMT 2007 |