Floating-point extensions

This pages lists the extensions available in the 32-bit versions of uLisp. For an example of their use see Fast Fourier Transform.

Summary

Arithmetic functions

sin, cos, tan, asin, acos, atan, sinh, cosh, tanh, exp, log, sqrt, expt, random

Rounding functions

ceiling, floor, round, truncate

Type conversion

float

Tests

floatp, integerp


acos function

Syntax: (acos number)

Returns the arc cosine of number, in radians.

asin function

Syntax: (asin number)

Returns the arc sine of number, in radians.

atan function

Syntax: (atan number1 [number2])

Returns the arc tangent of number1/number2, in radians. If number2 is omitted it defaults to 1.

ceiling function

Syntax: (ceiling number [divisor])

Returns the smallest integer greater than or equal to number/divisor. If divisor is omitted it defaults to 1.

cos function

Syntax: (cos number)

Returns the cosine of number radians.

For example:

> (cos 3.14159)
-1.0 

cosh function

Syntax: (cosh number)

Returns the hyperbolic cosine of number.

exp function

Syntax: (exp number)

Returns e raised to the specified number.

expt function

Syntax: (expt number power)

Returns number raised to the specified power.

float function

Syntax: (float number)

Returns its argument converted to a floating-point number.

floatp function

Syntax: (floatp item)

Returns t if its argument is a floating-point number.

floor function

Syntax: (floor number [divisor])

Returns the greatest integer less than or equal to number/divisor. If divisor is omitted it defaults to 1.

integerp function

Syntax: (integerp item)

Returns t if its argument is an integer.

log function

Syntax: (number [base])

Returns the logarithm of number to the specified base. If base is omitted it defaults to e.

random function

Syntax: (random item)

The random function is extended so that with a floating-point argument it returns a random floating-point number between zero and that number.

round function

Syntax: (round number [divisor])

Returns the integer closest to number/divisor. If divisor is omitted it defaults to 1.

sin function

Syntax: (sin number)

Returns the sine of number radians.

For example:

> (sin 3.14159)
0.0 

sinh function

Syntax: (sinh number)

Returns the hyperbolic sine of number.

sqrt function

Syntax: (sqrt number)

Returns the square root of number.

tan function

Syntax: (tan number)

Returns the tangent of number radians.

tanh function

Syntax: (tanh number)

Returns the hyperbolic tangent of number.

truncate function

Syntax: (truncate number [divisor])

Returns the integer part of number/divisor. If divisor is omitted it defaults to 1. For example:

(truncate x 100)

is equivalent to writing:

(truncate (/ x 100))