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-rw-r--r--web/server/h2o/libh2o/deps/mruby/mrbgems/mruby-math/src/math.c783
1 files changed, 783 insertions, 0 deletions
diff --git a/web/server/h2o/libh2o/deps/mruby/mrbgems/mruby-math/src/math.c b/web/server/h2o/libh2o/deps/mruby/mrbgems/mruby-math/src/math.c
new file mode 100644
index 00000000..7302b92d
--- /dev/null
+++ b/web/server/h2o/libh2o/deps/mruby/mrbgems/mruby-math/src/math.c
@@ -0,0 +1,783 @@
+/*
+** math.c - Math module
+**
+** See Copyright Notice in mruby.h
+*/
+
+#include <mruby.h>
+#include <mruby/array.h>
+
+#include <math.h>
+
+static void
+domain_error(mrb_state *mrb, const char *func)
+{
+ struct RClass *math = mrb_module_get(mrb, "Math");
+ struct RClass *domainerror = mrb_class_get_under(mrb, math, "DomainError");
+ mrb_value str = mrb_str_new_cstr(mrb, func);
+ mrb_raisef(mrb, domainerror, "Numerical argument is out of domain - %S", str);
+}
+
+/* math functions not provided by Microsoft Visual C++ 2012 or older */
+#if defined _MSC_VER && _MSC_VER <= 1700
+
+#include <float.h>
+
+#define MATH_TOLERANCE 1E-12
+
+double
+asinh(double x)
+{
+ double xa, ya, y;
+
+ /* Basic formula loses precision for x < 0, but asinh is an odd function */
+ xa = fabs(x);
+ if (xa > 3.16227E+18) {
+ /* Prevent x*x from overflowing; basic formula reduces to log(2*x) */
+ ya = log(xa) + 0.69314718055994530942;
+ }
+ else {
+ /* Basic formula for asinh */
+ ya = log(xa + sqrt(xa*xa + 1.0));
+ }
+
+ y = _copysign(ya, x);
+ return y;
+}
+
+double
+acosh(double x)
+{
+ double y;
+
+ if (x > 3.16227E+18) {
+ /* Prevent x*x from overflowing; basic formula reduces to log(2*x) */
+ y = log(x) + 0.69314718055994530942;
+ }
+ else {
+ /* Basic formula for acosh */
+ y = log(x + sqrt(x*x - 1.0));
+ }
+
+ return y;
+}
+
+double
+atanh(double x)
+{
+ double y;
+
+ if (fabs(x) < 1E-2) {
+ /* The sums 1+x and 1-x lose precision for small x. Use the polynomial
+ instead. */
+ double x2 = x * x;
+ y = x*(1.0 + x2*(1.0/3.0 + x2*(1.0/5.0 + x2*(1.0/7.0))));
+ }
+ else {
+ /* Basic formula for atanh */
+ y = 0.5 * (log(1.0+x) - log(1.0-x));
+ }
+
+ return y;
+}
+
+double
+cbrt(double x)
+{
+ double xa, ya, y;
+
+ /* pow(x, y) is undefined for x < 0 and y not an integer, but cbrt is an
+ odd function */
+ xa = fabs(x);
+ ya = pow(xa, 1.0/3.0);
+ y = _copysign(ya, x);
+ return y;
+}
+
+/* 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
+
+#if (defined _MSC_VER && _MSC_VER < 1800) || defined __ANDROID__ || (defined __FreeBSD__ && __FreeBSD_version < 803000)
+
+double
+log2(double x)
+{
+ return log10(x)/log10(2.0);
+}
+
+#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(mrb, 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(mrb, 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(mrb, x);
+}
+
+/*
+ INVERSE TRIGONOMETRIC FUNCTIONS
+*/
+
+/*
+ * call-seq:
+ * Math.asin(x) -> float
+ *
+ * Computes the arc sine of <i>x</i>.
+ * @return computed value between `-(PI/2)` and `(PI/2)`.
+ */
+static mrb_value
+math_asin(mrb_state *mrb, mrb_value obj)
+{
+ mrb_float x;
+
+ mrb_get_args(mrb, "f", &x);
+ if (x < -1.0 || x > 1.0) {
+ domain_error(mrb, "asin");
+ }
+ x = asin(x);
+
+ return mrb_float_value(mrb, 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);
+ if (x < -1.0 || x > 1.0) {
+ domain_error(mrb, "acos");
+ }
+ x = acos(x);
+
+ return mrb_float_value(mrb, 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(mrb, 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(mrb, 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(mrb, 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(mrb, 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(mrb, 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(mrb, 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);
+ if (x < 1.0) {
+ domain_error(mrb, "acosh");
+ }
+ x = acosh(x);
+
+ return mrb_float_value(mrb, 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);
+ if (x < -1.0 || x > 1.0) {
+ domain_error(mrb, "atanh");
+ }
+ x = atanh(x);
+
+ return mrb_float_value(mrb, x);
+}
+
+/*
+ EXPONENTIALS AND LOGARITHMS
+*/
+
+/*
+ * 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(mrb, 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);
+ if (x < 0.0) {
+ domain_error(mrb, "log");
+ }
+ x = log(x);
+ if (argc == 2) {
+ if (base < 0.0) {
+ domain_error(mrb, "log");
+ }
+ x /= log(base);
+ }
+ return mrb_float_value(mrb, 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);
+ if (x < 0.0) {
+ domain_error(mrb, "log2");
+ }
+ x = log2(x);
+
+ return mrb_float_value(mrb, 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);
+ if (x < 0.0) {
+ domain_error(mrb, "log10");
+ }
+ x = log10(x);
+
+ return mrb_float_value(mrb, 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);
+ if (x < 0.0) {
+ domain_error(mrb, "sqrt");
+ }
+ x = sqrt(x);
+
+ return mrb_float_value(mrb, 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(mrb, 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(mrb, 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(mrb, 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(mrb, 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(mrb, 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(mrb, x);
+}
+
+/* ------------------------------------------------------------------------*/
+void
+mrb_mruby_math_gem_init(mrb_state* mrb)
+{
+ struct RClass *mrb_math;
+ mrb_math = mrb_define_module(mrb, "Math");
+
+ mrb_define_class_under(mrb, mrb_math, "DomainError", mrb->eStandardError_class);
+
+#ifdef M_PI
+ mrb_define_const(mrb, mrb_math, "PI", mrb_float_value(mrb, M_PI));
+#else
+ mrb_define_const(mrb, mrb_math, "PI", mrb_float_value(mrb, atan(1.0)*4.0));
+#endif
+
+#ifdef M_E
+ mrb_define_const(mrb, mrb_math, "E", mrb_float_value(mrb, M_E));
+#else
+ mrb_define_const(mrb, mrb_math, "E", mrb_float_value(mrb, exp(1.0)));
+#endif
+
+#ifdef MRB_USE_FLOAT
+ mrb_define_const(mrb, mrb_math, "TOLERANCE", mrb_float_value(mrb, 1e-5));
+#else
+ mrb_define_const(mrb, mrb_math, "TOLERANCE", mrb_float_value(mrb, 1e-12));
+#endif
+
+ mrb_define_module_function(mrb, mrb_math, "sin", math_sin, MRB_ARGS_REQ(1));
+ mrb_define_module_function(mrb, mrb_math, "cos", math_cos, MRB_ARGS_REQ(1));
+ mrb_define_module_function(mrb, mrb_math, "tan", math_tan, MRB_ARGS_REQ(1));
+
+ mrb_define_module_function(mrb, mrb_math, "asin", math_asin, MRB_ARGS_REQ(1));
+ mrb_define_module_function(mrb, mrb_math, "acos", math_acos, MRB_ARGS_REQ(1));
+ mrb_define_module_function(mrb, mrb_math, "atan", math_atan, MRB_ARGS_REQ(1));
+ mrb_define_module_function(mrb, mrb_math, "atan2", math_atan2, MRB_ARGS_REQ(2));
+
+ mrb_define_module_function(mrb, mrb_math, "sinh", math_sinh, MRB_ARGS_REQ(1));
+ mrb_define_module_function(mrb, mrb_math, "cosh", math_cosh, MRB_ARGS_REQ(1));
+ mrb_define_module_function(mrb, mrb_math, "tanh", math_tanh, MRB_ARGS_REQ(1));
+
+ mrb_define_module_function(mrb, mrb_math, "asinh", math_asinh, MRB_ARGS_REQ(1));
+ mrb_define_module_function(mrb, mrb_math, "acosh", math_acosh, MRB_ARGS_REQ(1));
+ mrb_define_module_function(mrb, mrb_math, "atanh", math_atanh, MRB_ARGS_REQ(1));
+
+ mrb_define_module_function(mrb, mrb_math, "exp", math_exp, MRB_ARGS_REQ(1));
+ mrb_define_module_function(mrb, mrb_math, "log", math_log, MRB_ARGS_REQ(1)|MRB_ARGS_OPT(1));
+ mrb_define_module_function(mrb, mrb_math, "log2", math_log2, MRB_ARGS_REQ(1));
+ mrb_define_module_function(mrb, mrb_math, "log10", math_log10, MRB_ARGS_REQ(1));
+ mrb_define_module_function(mrb, mrb_math, "sqrt", math_sqrt, MRB_ARGS_REQ(1));
+ mrb_define_module_function(mrb, mrb_math, "cbrt", math_cbrt, MRB_ARGS_REQ(1));
+
+ mrb_define_module_function(mrb, mrb_math, "frexp", math_frexp, MRB_ARGS_REQ(1));
+ mrb_define_module_function(mrb, mrb_math, "ldexp", math_ldexp, MRB_ARGS_REQ(2));
+
+ mrb_define_module_function(mrb, mrb_math, "hypot", math_hypot, MRB_ARGS_REQ(2));
+
+ mrb_define_module_function(mrb, mrb_math, "erf", math_erf, MRB_ARGS_REQ(1));
+ mrb_define_module_function(mrb, mrb_math, "erfc", math_erfc, MRB_ARGS_REQ(1));
+}
+
+void
+mrb_mruby_math_gem_final(mrb_state* mrb)
+{
+}
generated by cgit v1.2.3 (git 2.39.1) at 2024-06-13 01:10:02 +0000