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authorYukihiro "Matz" Matsumoto <[email protected]>2013-02-28 05:29:22 -0800
committerYukihiro "Matz" Matsumoto <[email protected]>2013-02-28 05:29:22 -0800
commit2eef8f254f53265e61087bb7375f2d6cc97633fd (patch)
treecd5117b9769e9f8c687c90d16522a1931c6e5b11 /src/math.c
parentfbe041768bf133268b63344957acb05962df41c7 (diff)
parent6bee2fd193b94f00c7f4025fc3d62282f867e60d (diff)
downloadmruby-2eef8f254f53265e61087bb7375f2d6cc97633fd.tar.gz
mruby-2eef8f254f53265e61087bb7375f2d6cc97633fd.zip
Merge pull request #910 from mattn/pluggable_math
Pluggable Math
Diffstat (limited to 'src/math.c')
-rw-r--r--src/math.c688
1 files changed, 0 insertions, 688 deletions
diff --git a/src/math.c b/src/math.c
deleted file mode 100644
index 782b75c97..000000000
--- a/src/math.c
+++ /dev/null
@@ -1,688 +0,0 @@
-/*
-** math.c - Math module
-**
-** See Copyright Notice in mruby.h
-*/
-
-#include "mruby.h"
-#include "mruby/array.h"
-
-#ifdef ENABLE_MATH
-#include <math.h>
-
-#define domain_error(msg) \
- mrb_raise(mrb, E_RANGE_ERROR, "Numerical argument is out of domain - " #msg)
-
-/* math functions not provided under Microsoft Visual C++ */
-#ifdef _MSC_VER
-
-#define MATH_TOLERANCE 1E-12
-
-#define asinh(x) log(x + sqrt(pow(x,2.0) + 1))
-#define acosh(x) log(x + sqrt(pow(x,2.0) - 1))
-#define atanh(x) (log(1+x) - log(1-x))/2.0
-#define cbrt(x) pow(x,1.0/3.0)
-
-/* Declaration of complementary Error function */
-double
-erfc(double x);
-
-/*
-** Implementations of error functions
-** credits to http://www.digitalmars.com/archives/cplusplus/3634.html
-*/
-
-/* Implementation of Error function */
-double
-erf(double x)
-{
- static const double two_sqrtpi = 1.128379167095512574;
- double sum = x;
- double term = x;
- double xsqr = x*x;
- int j= 1;
- if (fabs(x) > 2.2) {
- return 1.0 - erfc(x);
- }
- do {
- term *= xsqr/j;
- sum -= term/(2*j+1);
- ++j;
- term *= xsqr/j;
- sum += term/(2*j+1);
- ++j;
- } while (fabs(term/sum) > MATH_TOLERANCE);
- return two_sqrtpi*sum;
-}
-
-/* Implementation of complementary Error function */
-double
-erfc(double x)
-{
- static const double one_sqrtpi= 0.564189583547756287;
- double a = 1;
- double b = x;
- double c = x;
- double d = x*x+0.5;
- double q1;
- double q2 = b/d;
- double n = 1.0;
- double t;
- if (fabs(x) < 2.2) {
- return 1.0 - erf(x);
- }
- if (x < 0.0) { /*signbit(x)*/
- return 2.0 - erfc(-x);
- }
- do {
- t = a*n+b*x;
- a = b;
- b = t;
- t = c*n+d*x;
- c = d;
- d = t;
- n += 0.5;
- q1 = q2;
- q2 = b/d;
- } while (fabs(q1-q2)/q2 > MATH_TOLERANCE);
- return one_sqrtpi*exp(-x*x)*q2;
-}
-
-#endif
-
-/*
- 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
-*/
-/*
- * 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, base;
- int argc;
-
- argc = mrb_get_args(mrb, "f|f", &x, &base);
- x = log(x);
- if (argc == 2) {
- x /= log(base);
- }
- 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.sqrt(numeric) -> float
- *
- * Returns the square root of <i>numeric</i>.
- *
- */
-static mrb_value
-math_sqrt(mrb_state *mrb, mrb_value obj)
-{
- mrb_float x;
-
- mrb_get_args(mrb, "f", &x);
- x = sqrt(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);
-}
-
-/* ------------------------------------------------------------------------*/
-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
-
-#ifdef MRB_USE_FLOAT
- mrb_define_const(mrb, mrb_math, "TOLERANCE", mrb_float_value(1e-5));
-#else
- mrb_define_const(mrb, mrb_math, "TOLERANCE", mrb_float_value(1e-12));
-#endif
-
- mrb_define_module_function(mrb, mrb_math, "sin", math_sin, ARGS_REQ(1));
- mrb_define_module_function(mrb, mrb_math, "cos", math_cos, ARGS_REQ(1));
- mrb_define_module_function(mrb, mrb_math, "tan", math_tan, ARGS_REQ(1));
-
- mrb_define_module_function(mrb, mrb_math, "asin", math_asin, ARGS_REQ(1));
- mrb_define_module_function(mrb, mrb_math, "acos", math_acos, ARGS_REQ(1));
- mrb_define_module_function(mrb, mrb_math, "atan", math_atan, ARGS_REQ(1));
- mrb_define_module_function(mrb, mrb_math, "atan2", math_atan2, ARGS_REQ(2));
-
- mrb_define_module_function(mrb, mrb_math, "sinh", math_sinh, ARGS_REQ(1));
- mrb_define_module_function(mrb, mrb_math, "cosh", math_cosh, ARGS_REQ(1));
- mrb_define_module_function(mrb, mrb_math, "tanh", math_tanh, ARGS_REQ(1));
-
- mrb_define_module_function(mrb, mrb_math, "asinh", math_asinh, ARGS_REQ(1));
- mrb_define_module_function(mrb, mrb_math, "acosh", math_acosh, ARGS_REQ(1));
- mrb_define_module_function(mrb, mrb_math, "atanh", math_atanh, ARGS_REQ(1));
-
- mrb_define_module_function(mrb, mrb_math, "exp", math_exp, ARGS_REQ(1));
- mrb_define_module_function(mrb, mrb_math, "log", math_log, ARGS_REQ(1)|ARGS_OPT(1));
- mrb_define_module_function(mrb, mrb_math, "log2", math_log2, ARGS_REQ(1));
- mrb_define_module_function(mrb, mrb_math, "log10", math_log10, ARGS_REQ(1));
- mrb_define_module_function(mrb, mrb_math, "sqrt", math_sqrt, ARGS_REQ(1));
- mrb_define_module_function(mrb, mrb_math, "cbrt", math_cbrt, ARGS_REQ(1));
-
- mrb_define_module_function(mrb, mrb_math, "frexp", math_frexp, ARGS_REQ(1));
- mrb_define_module_function(mrb, mrb_math, "ldexp", math_ldexp, ARGS_REQ(2));
-
- mrb_define_module_function(mrb, mrb_math, "hypot", math_hypot, ARGS_REQ(2));
-
- mrb_define_module_function(mrb, mrb_math, "erf", math_erf, ARGS_REQ(1));
- mrb_define_module_function(mrb, mrb_math, "erfc", math_erfc, ARGS_REQ(1));
-}
-#endif /* ENABLE_MATH */