/* ** math.c - Math module ** ** See Copyright Notice in mruby.h */ #include "mruby.h" #include #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 x (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 x (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 x (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 x. 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 x. 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 x. 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 y and x. 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 x (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 x (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 x (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); } /* EXPONENTIALS AND LOGARITHMS */ #if defined __CYGWIN__ # include # 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 numeric. * 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 numeric. * * 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 numeric. * * 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.frexp(numeric) -> [ fraction, exponent ] * * Returns a two-element array containing the normalized fraction (a * Float) and exponent (a Fixnum) of * numeric. * * 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 flt*(2**int). * * 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 x and y. * * 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); } /* ------------------------------------------------------------------------*/ 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, "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, "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); }