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Commit 6b67801d authored by Yukihiro "Matz" Matsumoto's avatar Yukihiro "Matz" Matsumoto
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Merge pull request #116 from pbosetti/master 

Wrote a (working) stub for the Math module
parents c6daff1f e274382a
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Showing with 750 additions and 1 deletion
src/init.c
View file @ 6b67801d
......@@ -32,6 +32,7 @@ void Init_var_tables(mrb_state *mrb);
void Init_version(mrb_state *mrb);
void mrb_init_print(mrb_state *mrb);
void mrb_init_mrblib(mrb_state *mrb);
void mrb_init_math(mrb_state *mrb);
#define MANDEL
#ifdef MANDEL
......@@ -99,7 +100,7 @@ mrb_init_core(mrb_state *mrb)
mrb_init_exception(mrb);
mrb_init_print(mrb);
mrb_init_time(mrb);
mrb_init_math(mrb);
#ifdef MANDEL
mrb_define_method(mrb, mrb->kernel_module, "pow", mpow, ARGS_REQ(2));
mrb_define_method(mrb, mrb->kernel_module, "sqrt", msqrt, ARGS_REQ(1));
......
src/math.c 0 → 100644
View file @ 6b67801d
/*
** math.c - Math module
**
** See Copyright Notice in mruby.h
*/
#include "mruby.h"
#include <math.h>
#if defined(__FreeBSD__) && __FreeBSD__ < 4
#include <floatingpoint.h>
#endif
#ifdef HAVE_FLOAT_H
#include <float.h>
#endif
#ifdef HAVE_IEEEFP_H
#include <ieeefp.h>
#endif
#define SIGNED_VALUE intptr_t
#ifdef MRB_USE_FLOAT
#define floor(f) floorf(f)
#define ceil(f) ceilf(f)
#define floor(f) floorf(f)
#define fmod(x,y) fmodf(x,y)
#endif
#define numberof(array) (int)(sizeof(array) / sizeof((array)[0]))
#define domain_error(msg) \
mrb_raise(mrb, E_RANGE_ERROR, "Numerical argument is out of domain - " #msg);
mrb_value
mrb_assoc_new(mrb_state *mrb, mrb_value car, mrb_value cdr);
/*
TRIGONOMETRIC FUNCTIONS
*/
/*
* call-seq:
* Math.sin(x) -> float
*
* Computes the sine of <i>x</i> (expressed in radians). Returns
* -1..1.
*/
static mrb_value
math_sin(mrb_state *mrb, mrb_value obj)
{
mrb_float x;
mrb_get_args(mrb, "f", &x);
x = sin(x);
return mrb_float_value(x);
}
/*
* call-seq:
* Math.cos(x) -> float
*
* Computes the cosine of <i>x</i> (expressed in radians). Returns
* -1..1.
*/
static mrb_value
math_cos(mrb_state *mrb, mrb_value obj)
{
mrb_float x;
mrb_get_args(mrb, "f", &x);
x = cos(x);
return mrb_float_value(x);
}
/*
* call-seq:
* Math.tan(x) -> float
*
* Returns the tangent of <i>x</i> (expressed in radians).
*/
static mrb_value
math_tan(mrb_state *mrb, mrb_value obj)
{
mrb_float x;
mrb_get_args(mrb, "f", &x);
x = tan(x);
return mrb_float_value(x);
}
/*
INVERSE TRIGONOMETRIC FUNCTIONS
*/
/*
* call-seq:
* Math.asin(x) -> float
*
* Computes the arc sine of <i>x</i>. Returns -{PI/2} .. {PI/2}.
*/
static mrb_value
math_asin(mrb_state *mrb, mrb_value obj)
{
mrb_float x;
mrb_get_args(mrb, "f", &x);
x = asin(x);
return mrb_float_value(x);
}
/*
* call-seq:
* Math.acos(x) -> float
*
* Computes the arc cosine of <i>x</i>. Returns 0..PI.
*/
static mrb_value
math_acos(mrb_state *mrb, mrb_value obj)
{
mrb_float x;
mrb_get_args(mrb, "f", &x);
x = acos(x);
return mrb_float_value(x);
}
/*
* call-seq:
* Math.atan(x) -> float
*
* Computes the arc tangent of <i>x</i>. Returns -{PI/2} .. {PI/2}.
*/
static mrb_value
math_atan(mrb_state *mrb, mrb_value obj)
{
mrb_float x;
mrb_get_args(mrb, "f", &x);
x = atan(x);
return mrb_float_value(x);
}
/*
* call-seq:
* Math.atan2(y, x) -> float
*
* Computes the arc tangent given <i>y</i> and <i>x</i>. Returns
* -PI..PI.
*
* Math.atan2(-0.0, -1.0) #=> -3.141592653589793
* Math.atan2(-1.0, -1.0) #=> -2.356194490192345
* Math.atan2(-1.0, 0.0) #=> -1.5707963267948966
* Math.atan2(-1.0, 1.0) #=> -0.7853981633974483
* Math.atan2(-0.0, 1.0) #=> -0.0
* Math.atan2(0.0, 1.0) #=> 0.0
* Math.atan2(1.0, 1.0) #=> 0.7853981633974483
* Math.atan2(1.0, 0.0) #=> 1.5707963267948966
* Math.atan2(1.0, -1.0) #=> 2.356194490192345
* Math.atan2(0.0, -1.0) #=> 3.141592653589793
*
*/
static mrb_value
math_atan2(mrb_state *mrb, mrb_value obj)
{
mrb_float x, y;
mrb_get_args(mrb, "ff", &x, &y);
x = atan2(x, y);
return mrb_float_value(x);
}
/*
HYPERBOLIC TRIG FUNCTIONS
*/
#ifndef HAVE_SINH
double
sinh(double x)
{
return (exp(x) - exp(-x)) / 2;
}
#endif
#ifndef HAVE_TANH
double
tanh(double x)
{
return sinh(x) / cosh(x);
}
#endif
/*
* call-seq:
* Math.sinh(x) -> float
*
* Computes the hyperbolic sine of <i>x</i> (expressed in
* radians).
*/
static mrb_value
math_sinh(mrb_state *mrb, mrb_value obj)
{
mrb_float x;
mrb_get_args(mrb, "f", &x);
x = sinh(x);
return mrb_float_value(x);
}
/*
* call-seq:
* Math.cosh(x) -> float
*
* Computes the hyperbolic cosine of <i>x</i> (expressed in radians).
*/
static mrb_value
math_cosh(mrb_state *mrb, mrb_value obj)
{
mrb_float x;
mrb_get_args(mrb, "f", &x);
x = cosh(x);
return mrb_float_value(x);
}
/*
* call-seq:
* Math.tanh() -> float
*
* Computes the hyperbolic tangent of <i>x</i> (expressed in
* radians).
*/
static mrb_value
math_tanh(mrb_state *mrb, mrb_value obj)
{
mrb_float x;
mrb_get_args(mrb, "f", &x);
x = tanh(x);
return mrb_float_value(x);
}
/*
INVERSE HYPERBOLIC TRIG FUNCTIONS
*/
/*
* call-seq:
* Math.asinh(x) -> float
*
* Computes the inverse hyperbolic sine of <i>x</i>.
*/
static mrb_value
math_asinh(mrb_state *mrb, mrb_value obj)
{
mrb_float x;
mrb_get_args(mrb, "f", &x);
x = asinh(x);
return mrb_float_value(x);
}
/*
* call-seq:
* Math.acosh(x) -> float
*
* Computes the inverse hyperbolic cosine of <i>x</i>.
*/
static mrb_value
math_acosh(mrb_state *mrb, mrb_value obj)
{
mrb_float x;
mrb_get_args(mrb, "f", &x);
x = acosh(x);
return mrb_float_value(x);
}
/*
* call-seq:
* Math.atanh(x) -> float
*
* Computes the inverse hyperbolic tangent of <i>x</i>.
*/
static mrb_value
math_atanh(mrb_state *mrb, mrb_value obj)
{
mrb_float x;
mrb_get_args(mrb, "f", &x);
x = atanh(x);
return mrb_float_value(x);
}
/*
EXPONENTIALS AND LOGARITHMS
*/
#if defined __CYGWIN__
# include <cygwin/version.h>
# if CYGWIN_VERSION_DLL_MAJOR < 1005
# define nan(x) nan()
# endif
# define log(x) ((x) < 0.0 ? nan("") : log(x))
# define log10(x) ((x) < 0.0 ? nan("") : log10(x))
#endif
#ifndef log2
#ifndef HAVE_LOG2
double
log2(double x)
{
return log10(x)/log10(2.0);
}
#else
extern double log2(double);
#endif
#endif
/*
* call-seq:
* Math.exp(x) -> float
*
* Returns e**x.
*
* Math.exp(0) #=> 1.0
* Math.exp(1) #=> 2.718281828459045
* Math.exp(1.5) #=> 4.4816890703380645
*
*/
static mrb_value
math_exp(mrb_state *mrb, mrb_value obj)
{
mrb_float x;
mrb_get_args(mrb, "f", &x);
x = exp(x);
return mrb_float_value(x);
}
/*
* call-seq:
* Math.log(numeric) -> float
* Math.log(num,base) -> float
*
* Returns the natural logarithm of <i>numeric</i>.
* If additional second argument is given, it will be the base
* of logarithm.
*
* Math.log(1) #=> 0.0
* Math.log(Math::E) #=> 1.0
* Math.log(Math::E**3) #=> 3.0
* Math.log(12,3) #=> 2.2618595071429146
*
*/
static mrb_value
math_log(mrb_state *mrb, mrb_value obj)
{
mrb_float x;
mrb_get_args(mrb, "f", &x);
x = log(x);
return mrb_float_value(x);
}
/*
* call-seq:
* Math.log2(numeric) -> float
*
* Returns the base 2 logarithm of <i>numeric</i>.
*
* Math.log2(1) #=> 0.0
* Math.log2(2) #=> 1.0
* Math.log2(32768) #=> 15.0
* Math.log2(65536) #=> 16.0
*
*/
static mrb_value
math_log2(mrb_state *mrb, mrb_value obj)
{
mrb_float x;
mrb_get_args(mrb, "f", &x);
x = log2(x);
return mrb_float_value(x);
}
/*
* call-seq:
* Math.log10(numeric) -> float
*
* Returns the base 10 logarithm of <i>numeric</i>.
*
* Math.log10(1) #=> 0.0
* Math.log10(10) #=> 1.0
* Math.log10(10**100) #=> 100.0
*
*/
static mrb_value
math_log10(mrb_state *mrb, mrb_value obj)
{
mrb_float x;
mrb_get_args(mrb, "f", &x);
x = log10(x);
return mrb_float_value(x);
}
/*
* call-seq:
* Math.cbrt(numeric) -> float
*
* Returns the cube root of <i>numeric</i>.
*
* -9.upto(9) {|x|
* p [x, Math.cbrt(x), Math.cbrt(x)**3]
* }
* #=>
* [-9, -2.0800838230519, -9.0]
* [-8, -2.0, -8.0]
* [-7, -1.91293118277239, -7.0]
* [-6, -1.81712059283214, -6.0]
* [-5, -1.7099759466767, -5.0]
* [-4, -1.5874010519682, -4.0]
* [-3, -1.44224957030741, -3.0]
* [-2, -1.25992104989487, -2.0]
* [-1, -1.0, -1.0]
* [0, 0.0, 0.0]
* [1, 1.0, 1.0]
* [2, 1.25992104989487, 2.0]
* [3, 1.44224957030741, 3.0]
* [4, 1.5874010519682, 4.0]
* [5, 1.7099759466767, 5.0]
* [6, 1.81712059283214, 6.0]
* [7, 1.91293118277239, 7.0]
* [8, 2.0, 8.0]
* [9, 2.0800838230519, 9.0]
*
*/
static mrb_value
math_cbrt(mrb_state *mrb, mrb_value obj)
{
mrb_float x;
mrb_get_args(mrb, "f", &x);
x = cbrt(x);
return mrb_float_value(x);
}
/*
* call-seq:
* Math.frexp(numeric) -> [ fraction, exponent ]
*
* Returns a two-element array containing the normalized fraction (a
* <code>Float</code>) and exponent (a <code>Fixnum</code>) of
* <i>numeric</i>.
*
* fraction, exponent = Math.frexp(1234) #=> [0.6025390625, 11]
* fraction * 2**exponent #=> 1234.0
*/
static mrb_value
math_frexp(mrb_state *mrb, mrb_value obj)
{
mrb_float x;
int exp;
mrb_get_args(mrb, "f", &x);
x = frexp(x, &exp);
return mrb_assoc_new(mrb, mrb_float_value(x), mrb_fixnum_value(exp));
}
/*
* call-seq:
* Math.ldexp(flt, int) -> float
*
* Returns the value of <i>flt</i>*(2**<i>int</i>).
*
* fraction, exponent = Math.frexp(1234)
* Math.ldexp(fraction, exponent) #=> 1234.0
*/
static mrb_value
math_ldexp(mrb_state *mrb, mrb_value obj)
{
mrb_float x;
mrb_int i;
mrb_get_args(mrb, "fi", &x, &i);
x = ldexp(x, i);
return mrb_float_value(x);
}
/*
* call-seq:
* Math.hypot(x, y) -> float
*
* Returns sqrt(x**2 + y**2), the hypotenuse of a right-angled triangle
* with sides <i>x</i> and <i>y</i>.
*
* Math.hypot(3, 4) #=> 5.0
*/
static mrb_value
math_hypot(mrb_state *mrb, mrb_value obj)
{
mrb_float x, y;
mrb_get_args(mrb, "ff", &x, &y);
x = hypot(x, y);
return mrb_float_value(x);
}
/*
* call-seq:
* Math.erf(x) -> float
*
* Calculates the error function of x.
*/
static mrb_value
math_erf(mrb_state *mrb, mrb_value obj)
{
mrb_float x;
mrb_get_args(mrb, "f", &x);
x = erf(x);
return mrb_float_value(x);
}
/*
* call-seq:
* Math.erfc(x) -> float
*
* Calculates the complementary error function of x.
*/
static mrb_value
math_erfc(mrb_state *mrb, mrb_value obj)
{
mrb_float x;
mrb_get_args(mrb, "f", &x);
x = erfc(x);
return mrb_float_value(x);
}
/*
* call-seq:
* Math.gamma(x) -> float
*
* Calculates the gamma function of x.
*
* Note that gamma(n) is same as fact(n-1) for integer n > 0.
* However gamma(n) returns float and can be an approximation.
*
* def fact(n) (1..n).inject(1) {|r,i| r*i } end
* 1.upto(26) {|i| p [i, Math.gamma(i), fact(i-1)] }
* #=> [1, 1.0, 1]
* # [2, 1.0, 1]
* # [3, 2.0, 2]
* # [4, 6.0, 6]
* # [5, 24.0, 24]
* # [6, 120.0, 120]
* # [7, 720.0, 720]
* # [8, 5040.0, 5040]
* # [9, 40320.0, 40320]
* # [10, 362880.0, 362880]
* # [11, 3628800.0, 3628800]
* # [12, 39916800.0, 39916800]
* # [13, 479001600.0, 479001600]
* # [14, 6227020800.0, 6227020800]
* # [15, 87178291200.0, 87178291200]
* # [16, 1307674368000.0, 1307674368000]
* # [17, 20922789888000.0, 20922789888000]
* # [18, 355687428096000.0, 355687428096000]
* # [19, 6.402373705728e+15, 6402373705728000]
* # [20, 1.21645100408832e+17, 121645100408832000]
* # [21, 2.43290200817664e+18, 2432902008176640000]
* # [22, 5.109094217170944e+19, 51090942171709440000]
* # [23, 1.1240007277776077e+21, 1124000727777607680000]
* # [24, 2.5852016738885062e+22, 25852016738884976640000]
* # [25, 6.204484017332391e+23, 620448401733239439360000]
* # [26, 1.5511210043330954e+25, 15511210043330985984000000]
*
*/
static mrb_value
math_gamma(mrb_state *mrb, mrb_value obj)
{
static const double fact_table[] = {
/* fact(0) */ 1.0,
/* fact(1) */ 1.0,
/* fact(2) */ 2.0,
/* fact(3) */ 6.0,
/* fact(4) */ 24.0,
/* fact(5) */ 120.0,
/* fact(6) */ 720.0,
/* fact(7) */ 5040.0,
/* fact(8) */ 40320.0,
/* fact(9) */ 362880.0,
/* fact(10) */ 3628800.0,
/* fact(11) */ 39916800.0,
/* fact(12) */ 479001600.0,
/* fact(13) */ 6227020800.0,
/* fact(14) */ 87178291200.0,
/* fact(15) */ 1307674368000.0,
/* fact(16) */ 20922789888000.0,
/* fact(17) */ 355687428096000.0,
/* fact(18) */ 6402373705728000.0,
/* fact(19) */ 121645100408832000.0,
/* fact(20) */ 2432902008176640000.0,
/* fact(21) */ 51090942171709440000.0,
/* fact(22) */ 1124000727777607680000.0,
/* fact(23)=25852016738884976640000 needs 56bit mantissa which is
* impossible to represent exactly in IEEE 754 double which have
* 53bit mantissa. */
};
double intpart, fracpart;
mrb_float x;
mrb_get_args(mrb, "f", &x);
/* check for domain error */
if (isinf(x) && signbit(x)) domain_error("gamma");
fracpart = modf(x, &intpart);
if (fracpart == 0.0) {
if (intpart < 0) domain_error("gamma");
if (0 < intpart &&
intpart - 1 < (double)numberof(fact_table)) {
return mrb_float_value(fact_table[(int)intpart - 1]);
}
}
return mrb_float_value(tgamma(x));
}
/*
* call-seq:
* Math.lgamma(x) -> [float, -1 or 1]
*
* Calculates the logarithmic gamma of x and
* the sign of gamma of x.
*
* Math.lgamma(x) is same as
* [Math.log(Math.gamma(x).abs), Math.gamma(x) < 0 ? -1 : 1]
* but avoid overflow by Math.gamma(x) for large x.
*/
/* TODO: lgamma_r() is missing */
/*
static mrb_value
math_lgamma(mrb_state *mrb, mrb_value obj)
{
double d0, d;
int sign=1;
mrb_float x;
mrb_get_args(mrb, "f", &x);
// check for domain error
if (isinf(x)) {
if (signbit(x)) domain_error("lgamma");
return rb_assoc_new(mrb_float_value(INFINITY), mrb_fixnum_value(1));
}
d = lgamma_r(x, &sign);
return mrb_assoc_new(mrb, mrb_float_value(d), mrb_fixnum_value(sign));
}
*/
/* ------------------------------------------------------------------------*/
void
mrb_init_math(mrb_state *mrb)
{
struct RClass *mrb_math;
mrb_math = mrb_define_module(mrb, "Math");
#ifdef M_PI
mrb_define_const(mrb, mrb_math, "PI", mrb_float_value(M_PI));
#else
mrb_define_const(mrb, mrb_math, "PI", mrb_float_value(atan(1.0)*4.0));
#endif
#ifdef M_E
mrb_define_const(mrb, mrb_math, "E", mrb_float_value(M_E));
#else
mrb_define_const(mrb, mrb_math, "E", mrb_float_value(exp(1.0)));
#endif
mrb_define_class_method(mrb, mrb_math, "sin", math_sin, 1);
mrb_define_class_method(mrb, mrb_math, "cos", math_cos, 1);
mrb_define_class_method(mrb, mrb_math, "tan", math_tan, 1);
mrb_define_class_method(mrb, mrb_math, "asin", math_asin, 1);
mrb_define_class_method(mrb, mrb_math, "acos", math_acos, 1);
mrb_define_class_method(mrb, mrb_math, "atan", math_atan, 1);
mrb_define_class_method(mrb, mrb_math, "atan2", math_atan2, 2);
mrb_define_class_method(mrb, mrb_math, "sinh", math_sinh, 1);
mrb_define_class_method(mrb, mrb_math, "cosh", math_cosh, 1);
mrb_define_class_method(mrb, mrb_math, "tanh", math_tanh, 1);
mrb_define_class_method(mrb, mrb_math, "asinh", math_asinh, 1);
mrb_define_class_method(mrb, mrb_math, "acosh", math_acosh, 1);
mrb_define_class_method(mrb, mrb_math, "atanh", math_atanh, 1);
mrb_define_class_method(mrb, mrb_math, "exp", math_exp, 1);
mrb_define_class_method(mrb, mrb_math, "log", math_log, -1);
mrb_define_class_method(mrb, mrb_math, "log2", math_log2, 1);
mrb_define_class_method(mrb, mrb_math, "log10", math_log10, 1);
mrb_define_class_method(mrb, mrb_math, "cbrt", math_cbrt, 1);
mrb_define_class_method(mrb, mrb_math, "frexp", math_frexp, 1);
mrb_define_class_method(mrb, mrb_math, "ldexp", math_ldexp, 2);
mrb_define_class_method(mrb, mrb_math, "hypot", math_hypot, 2);
mrb_define_class_method(mrb, mrb_math, "erf", math_erf, 1);
mrb_define_class_method(mrb, mrb_math, "erfc", math_erfc, 1);
mrb_define_class_method(mrb, mrb_math, "gamma", math_gamma, 1);
/* mrb_define_class_method(mrb, mrb_math, "lgamma", math_lgamma, 1); */
}
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