mathh (historical revision 43186) - The CHICKEN Scheme wiki

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Documentation

Provides access to ISO C math functions in <math.h> that are not defined by the Chicken core. Please refer to your documentation for <math.h> for a description of the various calls.

Math Functions

: O ; fixnum. : P2 ; integer. : N, M, N1, N2 ; float.

Usage

(import "mathh")

[procedure] (bessel-j0 N) -> float
[procedure] (bessel-j1 N) -> float
[procedure] (bessel-jn O N) -> float
[procedure] (bessel-y0 N) -> float
[procedure] (bessel-y1 N) -> float
[procedure] (bessel-yn O N) -> float

cosh

[procedure] (cosh N) -> float

sinh

[procedure] (sinh N) -> float

tanh

[procedure] (tanh N) -> float

acosh

[procedure] (acosh N) -> float

asinh

[procedure] (asinh N) -> float

atanh

[procedure] (atanh N) -> float

hypot

[procedure] (hypot N1 N2) -> float

gamma

[procedure] (gamma N) -> float

lgamma

[procedure] (lgamma N) -> float

erf

[procedure] (erf N) -> float

erfc

[procedure] (erfc N) -> float

log10

[procedure] (log10 N) -> float

log2

[procedure] (log2 N) -> float

log1p

[procedure] (log1p N) -> float

log-with-base

log/base

[procedure] (log-with-base B) -> (float -> float)
[procedure] (log/base B) -> (float -> float)

Returns a function for the base B logarithm.

ldexp

[procedure] (ldexp N P2) -> float

scalbn

[procedure] (scalbn N P2) -> float

cbrt

[procedure] (cbrt N) -> float

nextafter

[procedure] (nextafter N M) -> float

Returns the next N in the direction of M.

fpmod

[procedure] (fpmod N M) -> float

Returns the modulus of N for M.

modf

modf*

[procedure] (modf N) -> float float
[procedure] (modf* N) -> integer float

Returns two values, the integral and fractional components of N.

frexp

[procedure] (frexp N) -> float float

Returns two values, the fraction and the exponent components of N.

signbit

[procedure] (signbit N) -> boolean

Returns #t when negative, #f otherwise.

copysign

[procedure] (copysign N M) -> float

Returns N with same sign as M.

fpclassify

[procedure] (fpclassify N) -> symbol

Returns a symbol denoting the floating-point kind of N.

infinite
nan
normal
subnormal
zero
unclassified

fpclass

[procedure] (fpclass N) -> symbol

Returns a symbol denoting the floating-point kind of N.

positive-infinite
negative-infinite
quiet-nan
signaling-nan
positive-normal
negative-normal
positive-subnormal
negative-subnormal
positive-zero
negative-zero
unclassified

Notes

Some library calls that are not supplied by the platform have rough implementations supplied. See Bugs and Limitations.
The general naming convention is to use the C library call name as the Scheme name. But there are exceptions:

fmod: fpmod
j0: bessel-j0 (Prefixed to distinguish the names from common variables)
j1: bessel-j1
jn: bessel-jn
y0: bessel-y0
y1: bessel-y1
yn: bessel-yn

Math Constants (Module)

Usage

(import mathh-consts)

Constants

These are all float.

e: e
1/e: 1/e
e^2: e^2
e^pi/4: e^(pi/4)
log2e: log2(e)
log10e: log10(e)
ln2: log(2)
ln3: ln(3)
lnpi: ln(pi)
ln10: log(10)
1/ln2: 1/ln(2)
1/ln10: 1/ln(10)
pi: pi
pi/2: pi/2
pi/4: pi/4
1/pi: 1/pi
2/pi: 2/pi
2/sqrtpi: 2/sqrt(pi)
sqrtpi: sqrt(pi)
pi^2: pi^2
degree: pi/180
sqrt2: sqrt(2)
1/sqrt2: 1/sqrt(2)
sqrt3: sqrt(3)
sqrt5: sqrt(5)
sqrt10: sqrt(10)
cubert2: cubert(2)
cubert3: cubert(3)
4thrt2: fourthrt(2)
gamma1/2: gamma(1/2)
gamma1/3: gamma(1/3)
gamma2/3: gamma(2/3)
phi: phi
lnphi: ln(phi)
1/lnphi: 1/ln(phi)
euler: euler
e^euler: e^euler
sin1: sin(1)
cos1: cos(1)
zeta3: theta(3)

Math Constants (Include)

Common constants, using 'define-constant'. As such they must be textually included.

Usage

(include "mathh-constants")

Constants

E: e
1/E: 1/e
E^2: e^2
E^PI/4: e^(pi/4)
LOG2E: log2(e)
LOG10E: log10(e)
LN2: log(2)
LN3: ln(3)
LNPI: ln(pi)
LN10: log(10)
1/LN2: 1/ln(2)
1/LN10: 1/ln(10)
PI: pi
PI/2: pi/2
PI/4: pi/4
1/PI: 1/pi
2/PI: 2/pi
2/SQRTPI: 2/sqrt(pi)
SQRTPI: sqrt(pi)
PI^2: pi^2
DEGREE: pi/180
SQRT2: sqrt(2)
1/SQRT2: 1/sqrt(2)
SQRT3: sqrt(3)
SQRT5: sqrt(5)
SQRT10: sqrt(10)
CUBERT2: cubert(2)
CUBERT3: cubert(3)
4THRT2: fourthrt(2)
GAMMA1/2: gamma(1/2)
GAMMA1/3: gamma(1/3)
GAMMA2/3: gamma(2/3)
PHI: phi
LNPHI: ln(phi)
1/LNPHI: 1/ln(phi)
EULER: euler
E^EULER: e^euler
SIN1: sin(1)
COS1: cos(1)
ZETA3: theta(3)

Requirements

test test-utils

Bugs and Limitations

The fpclass quiet-nan is only distinguished on Windows.

Author

Kon Lovett John Cowan

Repository

This egg is hosted on the CHICKEN Subversion repository:

https://anonymous@code.call-cc.org/svn/chicken-eggs/release/5/mathh

If you want to check out the source code repository of this egg and you are not familiar with Subversion, see this page.

Version history

4.7.0: Moved misc-math-utils & misc-vector-math-utils to math-utils.
4.6.5: Add coprime? & *coprime?.
4.6.4: Add number->sign. Add test dependency.
4.6.3: Remove vector-apply numeric restriction.
4.6.2: Add vector-mul/div/sum/dif/min/max/lcm/gcd, vector</=/>/<=/>, vector-compare, vector-apply.
4.6.1: Add vector-product & vector-sum. Fix cross-product(3).
4.6.0: Add misc-vector-math-utils.
4.5.1: Fix for include source mathh-constants.scm.
4.5.0: Add log function to misc-math-utils.
4.4.0: Add interest functions to misc-math-utils.
4.3.0: Remove Windows restrictions (C2 era), assume BSD has tgamma.
4.2.3: .
4.2.2: .
4.2.1: .
4.2.0: Add modf*.
4.0.0: CHICKEN 5 release.

License

This code is in the public domain.