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-rw-r--r--web/server/h2o/libh2o/deps/mruby/src/numeric.c1355
1 files changed, 1355 insertions, 0 deletions
diff --git a/web/server/h2o/libh2o/deps/mruby/src/numeric.c b/web/server/h2o/libh2o/deps/mruby/src/numeric.c
new file mode 100644
index 00000000..afb8415a
--- /dev/null
+++ b/web/server/h2o/libh2o/deps/mruby/src/numeric.c
@@ -0,0 +1,1355 @@
+/*
+** numeric.c - Numeric, Integer, Float, Fixnum class
+**
+** See Copyright Notice in mruby.h
+*/
+
+#include <float.h>
+#include <limits.h>
+#include <math.h>
+#include <stdlib.h>
+
+#include <mruby.h>
+#include <mruby/array.h>
+#include <mruby/numeric.h>
+#include <mruby/string.h>
+#include <mruby/class.h>
+
+#ifdef MRB_USE_FLOAT
+#define trunc(f) truncf(f)
+#define floor(f) floorf(f)
+#define ceil(f) ceilf(f)
+#define fmod(x,y) fmodf(x,y)
+#define MRB_FLO_TO_STR_FMT "%.7g"
+#else
+#define MRB_FLO_TO_STR_FMT "%.14g"
+#endif
+
+MRB_API mrb_float
+mrb_to_flo(mrb_state *mrb, mrb_value val)
+{
+ switch (mrb_type(val)) {
+ case MRB_TT_FIXNUM:
+ return (mrb_float)mrb_fixnum(val);
+ case MRB_TT_FLOAT:
+ break;
+ default:
+ mrb_raise(mrb, E_TYPE_ERROR, "non float value");
+ }
+ return mrb_float(val);
+}
+
+/*
+ * call-seq:
+ *
+ * num ** other -> num
+ *
+ * Raises <code>num</code> the <code>other</code> power.
+ *
+ * 2.0**3 #=> 8.0
+ */
+static mrb_value
+num_pow(mrb_state *mrb, mrb_value x)
+{
+ mrb_value y;
+ mrb_float d;
+
+ mrb_get_args(mrb, "o", &y);
+ if (mrb_fixnum_p(x) && mrb_fixnum_p(y)) {
+ /* try ipow() */
+ mrb_int base = mrb_fixnum(x);
+ mrb_int exp = mrb_fixnum(y);
+ mrb_int result = 1;
+
+ if (exp < 0) goto float_pow;
+ for (;;) {
+ if (exp & 1) {
+ if (mrb_int_mul_overflow(result, base, &result)) {
+ goto float_pow;
+ }
+ }
+ exp >>= 1;
+ if (exp == 0) break;
+ if (mrb_int_mul_overflow(base, base, &base)) {
+ goto float_pow;
+ }
+ }
+ return mrb_fixnum_value(result);
+ }
+ float_pow:
+ d = pow(mrb_to_flo(mrb, x), mrb_to_flo(mrb, y));
+ return mrb_float_value(mrb, d);
+}
+
+/* 15.2.8.3.4 */
+/* 15.2.9.3.4 */
+/*
+ * call-seq:
+ * num / other -> num
+ *
+ * Performs division: the class of the resulting object depends on
+ * the class of <code>num</code> and on the magnitude of the
+ * result.
+ */
+
+mrb_value
+mrb_num_div(mrb_state *mrb, mrb_value x, mrb_value y)
+{
+ return mrb_float_value(mrb, mrb_to_flo(mrb, x) / mrb_to_flo(mrb, y));
+}
+
+/* 15.2.9.3.19(x) */
+/*
+ * call-seq:
+ * num.quo(numeric) -> real
+ *
+ * Returns most exact division.
+ */
+
+static mrb_value
+num_div(mrb_state *mrb, mrb_value x)
+{
+ mrb_float y;
+
+ mrb_get_args(mrb, "f", &y);
+ return mrb_float_value(mrb, mrb_to_flo(mrb, x) / y);
+}
+
+/********************************************************************
+ *
+ * Document-class: Float
+ *
+ * <code>Float</code> objects represent inexact real numbers using
+ * the native architecture's double-precision floating point
+ * representation.
+ */
+
+/* 15.2.9.3.16(x) */
+/*
+ * call-seq:
+ * flt.to_s -> string
+ *
+ * Returns a string containing a representation of self. As well as a
+ * fixed or exponential form of the number, the call may return
+ * "<code>NaN</code>", "<code>Infinity</code>", and
+ * "<code>-Infinity</code>".
+ */
+
+static mrb_value
+flo_to_s(mrb_state *mrb, mrb_value flt)
+{
+ if (isnan(mrb_float(flt))) {
+ return mrb_str_new_lit(mrb, "NaN");
+ }
+ return mrb_float_to_str(mrb, flt, MRB_FLO_TO_STR_FMT);
+}
+
+/* 15.2.9.3.2 */
+/*
+ * call-seq:
+ * float - other -> float
+ *
+ * Returns a new float which is the difference of <code>float</code>
+ * and <code>other</code>.
+ */
+
+static mrb_value
+flo_minus(mrb_state *mrb, mrb_value x)
+{
+ mrb_value y;
+
+ mrb_get_args(mrb, "o", &y);
+ return mrb_float_value(mrb, mrb_float(x) - mrb_to_flo(mrb, y));
+}
+
+/* 15.2.9.3.3 */
+/*
+ * call-seq:
+ * float * other -> float
+ *
+ * Returns a new float which is the product of <code>float</code>
+ * and <code>other</code>.
+ */
+
+static mrb_value
+flo_mul(mrb_state *mrb, mrb_value x)
+{
+ mrb_value y;
+
+ mrb_get_args(mrb, "o", &y);
+ return mrb_float_value(mrb, mrb_float(x) * mrb_to_flo(mrb, y));
+}
+
+static void
+flodivmod(mrb_state *mrb, mrb_float x, mrb_float y, mrb_float *divp, mrb_float *modp)
+{
+ mrb_float div;
+ mrb_float mod;
+
+ if (y == 0.0) {
+ if (x > 0.0) div = INFINITY;
+ else if (x < 0.0) div = -INFINITY;
+ else div = NAN; /* x == 0.0 */
+ mod = NAN;
+ }
+ else {
+ mod = fmod(x, y);
+ if (isinf(x) && isfinite(y))
+ div = x;
+ else
+ div = (x - mod) / y;
+ if (y*mod < 0) {
+ mod += y;
+ div -= 1.0;
+ }
+ }
+
+ if (modp) *modp = mod;
+ if (divp) *divp = div;
+}
+
+/* 15.2.9.3.5 */
+/*
+ * call-seq:
+ * flt % other -> float
+ * flt.modulo(other) -> float
+ *
+ * Return the modulo after division of <code>flt</code> by <code>other</code>.
+ *
+ * 6543.21.modulo(137) #=> 104.21
+ * 6543.21.modulo(137.24) #=> 92.9299999999996
+ */
+
+static mrb_value
+flo_mod(mrb_state *mrb, mrb_value x)
+{
+ mrb_value y;
+ mrb_float mod;
+
+ mrb_get_args(mrb, "o", &y);
+
+ flodivmod(mrb, mrb_float(x), mrb_to_flo(mrb, y), 0, &mod);
+ return mrb_float_value(mrb, mod);
+}
+
+/* 15.2.8.3.16 */
+/*
+ * call-seq:
+ * num.eql?(numeric) -> true or false
+ *
+ * Returns <code>true</code> if <i>num</i> and <i>numeric</i> are the
+ * same type and have equal values.
+ *
+ * 1 == 1.0 #=> true
+ * 1.eql?(1.0) #=> false
+ * (1.0).eql?(1.0) #=> true
+ */
+static mrb_value
+fix_eql(mrb_state *mrb, mrb_value x)
+{
+ mrb_value y;
+
+ mrb_get_args(mrb, "o", &y);
+ if (!mrb_fixnum_p(y)) return mrb_false_value();
+ return mrb_bool_value(mrb_fixnum(x) == mrb_fixnum(y));
+}
+
+static mrb_value
+flo_eql(mrb_state *mrb, mrb_value x)
+{
+ mrb_value y;
+
+ mrb_get_args(mrb, "o", &y);
+ if (!mrb_float_p(y)) return mrb_false_value();
+ return mrb_bool_value(mrb_float(x) == (mrb_float)mrb_fixnum(y));
+}
+
+/* 15.2.9.3.7 */
+/*
+ * call-seq:
+ * flt == obj -> true or false
+ *
+ * Returns <code>true</code> only if <i>obj</i> has the same value
+ * as <i>flt</i>. Contrast this with <code>Float#eql?</code>, which
+ * requires <i>obj</i> to be a <code>Float</code>.
+ *
+ * 1.0 == 1 #=> true
+ *
+ */
+
+static mrb_value
+flo_eq(mrb_state *mrb, mrb_value x)
+{
+ mrb_value y;
+ mrb_get_args(mrb, "o", &y);
+
+ switch (mrb_type(y)) {
+ case MRB_TT_FIXNUM:
+ return mrb_bool_value(mrb_float(x) == (mrb_float)mrb_fixnum(y));
+ case MRB_TT_FLOAT:
+ return mrb_bool_value(mrb_float(x) == mrb_float(y));
+ default:
+ return mrb_false_value();
+ }
+}
+
+static int64_t
+value_int64(mrb_state *mrb, mrb_value x)
+{
+ switch (mrb_type(x)) {
+ case MRB_TT_FIXNUM:
+ return (int64_t)mrb_fixnum(x);
+ break;
+ case MRB_TT_FLOAT:
+ return (int64_t)mrb_float(x);
+ default:
+ mrb_raise(mrb, E_TYPE_ERROR, "cannot convert to Integer");
+ break;
+ }
+ /* not reached */
+ return 0;
+}
+
+static mrb_value
+int64_value(mrb_state *mrb, int64_t v)
+{
+ if (FIXABLE(v)) {
+ return mrb_fixnum_value((mrb_int)v);
+ }
+ return mrb_float_value(mrb, (mrb_float)v);
+}
+
+static mrb_value
+flo_rev(mrb_state *mrb, mrb_value x)
+{
+ int64_t v1;
+ mrb_get_args(mrb, "");
+ v1 = (int64_t)mrb_float(x);
+ return int64_value(mrb, ~v1);
+}
+
+static mrb_value
+flo_and(mrb_state *mrb, mrb_value x)
+{
+ mrb_value y;
+ int64_t v1, v2;
+ mrb_get_args(mrb, "o", &y);
+
+ v1 = (int64_t)mrb_float(x);
+ v2 = value_int64(mrb, y);
+ return int64_value(mrb, v1 & v2);
+}
+
+static mrb_value
+flo_or(mrb_state *mrb, mrb_value x)
+{
+ mrb_value y;
+ int64_t v1, v2;
+ mrb_get_args(mrb, "o", &y);
+
+ v1 = (int64_t)mrb_float(x);
+ v2 = value_int64(mrb, y);
+ return int64_value(mrb, v1 | v2);
+}
+
+static mrb_value
+flo_xor(mrb_state *mrb, mrb_value x)
+{
+ mrb_value y;
+ int64_t v1, v2;
+ mrb_get_args(mrb, "o", &y);
+
+ v1 = (int64_t)mrb_float(x);
+ v2 = value_int64(mrb, y);
+ return int64_value(mrb, v1 ^ v2);
+}
+
+static mrb_value
+flo_shift(mrb_state *mrb, mrb_value x, mrb_int width)
+{
+ mrb_float val;
+
+ if (width == 0) {
+ return x;
+ }
+ val = mrb_float(x);
+ if (width < 0) {
+ while (width++) {
+ val /= 2;
+ }
+#if defined(_ISOC99_SOURCE)
+ val = trunc(val);
+#else
+ if (val > 0){
+ val = floor(val);
+ } else {
+ val = ceil(val);
+ }
+#endif
+ if (val == 0 && mrb_float(x) < 0) {
+ return mrb_fixnum_value(-1);
+ }
+ }
+ else {
+ while (width--) {
+ val *= 2;
+ }
+ }
+ if (FIXABLE_FLOAT(val)) {
+ return mrb_fixnum_value((mrb_int)val);
+ }
+ return mrb_float_value(mrb, val);
+}
+
+static mrb_value
+flo_lshift(mrb_state *mrb, mrb_value x)
+{
+ mrb_int width;
+
+ mrb_get_args(mrb, "i", &width);
+ return flo_shift(mrb, x, -width);
+}
+
+static mrb_value
+flo_rshift(mrb_state *mrb, mrb_value x)
+{
+ mrb_int width;
+
+ mrb_get_args(mrb, "i", &width);
+ return flo_shift(mrb, x, width);
+}
+
+/* 15.2.9.3.13 */
+/*
+ * call-seq:
+ * flt.to_f -> self
+ *
+ * As <code>flt</code> is already a float, returns +self+.
+ */
+
+static mrb_value
+flo_to_f(mrb_state *mrb, mrb_value num)
+{
+ return num;
+}
+
+/* 15.2.9.3.11 */
+/*
+ * call-seq:
+ * flt.infinite? -> nil, -1, +1
+ *
+ * Returns <code>nil</code>, -1, or +1 depending on whether <i>flt</i>
+ * is finite, -infinity, or +infinity.
+ *
+ * (0.0).infinite? #=> nil
+ * (-1.0/0.0).infinite? #=> -1
+ * (+1.0/0.0).infinite? #=> 1
+ */
+
+static mrb_value
+flo_infinite_p(mrb_state *mrb, mrb_value num)
+{
+ mrb_float value = mrb_float(num);
+
+ if (isinf(value)) {
+ return mrb_fixnum_value(value < 0 ? -1 : 1);
+ }
+ return mrb_nil_value();
+}
+
+/* 15.2.9.3.9 */
+/*
+ * call-seq:
+ * flt.finite? -> true or false
+ *
+ * Returns <code>true</code> if <i>flt</i> is a valid IEEE floating
+ * point number (it is not infinite, and <code>nan?</code> is
+ * <code>false</code>).
+ *
+ */
+
+static mrb_value
+flo_finite_p(mrb_state *mrb, mrb_value num)
+{
+ return mrb_bool_value(isfinite(mrb_float(num)));
+}
+
+void
+mrb_check_num_exact(mrb_state *mrb, mrb_float num)
+{
+ if (isinf(num)) {
+ mrb_raise(mrb, E_FLOATDOMAIN_ERROR, num < 0 ? "-Infinity" : "Infinity");
+ }
+ if (isnan(num)) {
+ mrb_raise(mrb, E_FLOATDOMAIN_ERROR, "NaN");
+ }
+}
+
+/* 15.2.9.3.10 */
+/*
+ * call-seq:
+ * flt.floor -> integer
+ *
+ * Returns the largest integer less than or equal to <i>flt</i>.
+ *
+ * 1.2.floor #=> 1
+ * 2.0.floor #=> 2
+ * (-1.2).floor #=> -2
+ * (-2.0).floor #=> -2
+ */
+
+static mrb_value
+flo_floor(mrb_state *mrb, mrb_value num)
+{
+ mrb_float f = floor(mrb_float(num));
+
+ mrb_check_num_exact(mrb, f);
+ if (!FIXABLE_FLOAT(f)) {
+ return mrb_float_value(mrb, f);
+ }
+ return mrb_fixnum_value((mrb_int)f);
+}
+
+/* 15.2.9.3.8 */
+/*
+ * call-seq:
+ * flt.ceil -> integer
+ *
+ * Returns the smallest <code>Integer</code> greater than or equal to
+ * <i>flt</i>.
+ *
+ * 1.2.ceil #=> 2
+ * 2.0.ceil #=> 2
+ * (-1.2).ceil #=> -1
+ * (-2.0).ceil #=> -2
+ */
+
+static mrb_value
+flo_ceil(mrb_state *mrb, mrb_value num)
+{
+ mrb_float f = ceil(mrb_float(num));
+
+ mrb_check_num_exact(mrb, f);
+ if (!FIXABLE_FLOAT(f)) {
+ return mrb_float_value(mrb, f);
+ }
+ return mrb_fixnum_value((mrb_int)f);
+}
+
+/* 15.2.9.3.12 */
+/*
+ * call-seq:
+ * flt.round([ndigits]) -> integer or float
+ *
+ * Rounds <i>flt</i> to a given precision in decimal digits (default 0 digits).
+ * Precision may be negative. Returns a floating point number when ndigits
+ * is more than zero.
+ *
+ * 1.4.round #=> 1
+ * 1.5.round #=> 2
+ * 1.6.round #=> 2
+ * (-1.5).round #=> -2
+ *
+ * 1.234567.round(2) #=> 1.23
+ * 1.234567.round(3) #=> 1.235
+ * 1.234567.round(4) #=> 1.2346
+ * 1.234567.round(5) #=> 1.23457
+ *
+ * 34567.89.round(-5) #=> 0
+ * 34567.89.round(-4) #=> 30000
+ * 34567.89.round(-3) #=> 35000
+ * 34567.89.round(-2) #=> 34600
+ * 34567.89.round(-1) #=> 34570
+ * 34567.89.round(0) #=> 34568
+ * 34567.89.round(1) #=> 34567.9
+ * 34567.89.round(2) #=> 34567.89
+ * 34567.89.round(3) #=> 34567.89
+ *
+ */
+
+static mrb_value
+flo_round(mrb_state *mrb, mrb_value num)
+{
+ double number, f;
+ mrb_int ndigits = 0;
+ mrb_int i;
+
+ mrb_get_args(mrb, "|i", &ndigits);
+ number = mrb_float(num);
+
+ if (0 < ndigits && (isinf(number) || isnan(number))) {
+ return num;
+ }
+ mrb_check_num_exact(mrb, number);
+
+ f = 1.0;
+ i = ndigits >= 0 ? ndigits : -ndigits;
+ while (--i >= 0)
+ f = f*10.0;
+
+ if (isinf(f)) {
+ if (ndigits < 0) number = 0;
+ }
+ else {
+ double d;
+
+ if (ndigits < 0) number /= f;
+ else number *= f;
+
+ /* home-made inline implementation of round(3) */
+ if (number > 0.0) {
+ d = floor(number);
+ number = d + (number - d >= 0.5);
+ }
+ else if (number < 0.0) {
+ d = ceil(number);
+ number = d - (d - number >= 0.5);
+ }
+
+ if (ndigits < 0) number *= f;
+ else number /= f;
+ }
+
+ if (ndigits > 0) {
+ if (!isfinite(number)) return num;
+ return mrb_float_value(mrb, number);
+ }
+ return mrb_fixnum_value((mrb_int)number);
+}
+
+/* 15.2.9.3.14 */
+/* 15.2.9.3.15 */
+/*
+ * call-seq:
+ * flt.to_i -> integer
+ * flt.to_int -> integer
+ * flt.truncate -> integer
+ *
+ * Returns <i>flt</i> truncated to an <code>Integer</code>.
+ */
+
+static mrb_value
+flo_truncate(mrb_state *mrb, mrb_value num)
+{
+ mrb_float f = mrb_float(num);
+
+ if (f > 0.0) f = floor(f);
+ if (f < 0.0) f = ceil(f);
+
+ mrb_check_num_exact(mrb, f);
+ if (!FIXABLE_FLOAT(f)) {
+ return mrb_float_value(mrb, f);
+ }
+ return mrb_fixnum_value((mrb_int)f);
+}
+
+static mrb_value
+flo_nan_p(mrb_state *mrb, mrb_value num)
+{
+ return mrb_bool_value(isnan(mrb_float(num)));
+}
+
+/*
+ * Document-class: Integer
+ *
+ * <code>Integer</code> is the basis for the two concrete classes that
+ * hold whole numbers, <code>Bignum</code> and <code>Fixnum</code>.
+ *
+ */
+
+
+/*
+ * call-seq:
+ * int.to_i -> integer
+ * int.to_int -> integer
+ *
+ * As <i>int</i> is already an <code>Integer</code>, all these
+ * methods simply return the receiver.
+ */
+
+static mrb_value
+int_to_i(mrb_state *mrb, mrb_value num)
+{
+ return num;
+}
+
+mrb_value
+mrb_fixnum_mul(mrb_state *mrb, mrb_value x, mrb_value y)
+{
+ mrb_int a;
+
+ a = mrb_fixnum(x);
+ if (mrb_fixnum_p(y)) {
+ mrb_int b, c;
+
+ if (a == 0) return x;
+ b = mrb_fixnum(y);
+ if (mrb_int_mul_overflow(a, b, &c)) {
+ return mrb_float_value(mrb, (mrb_float)a * (mrb_float)b);
+ }
+ return mrb_fixnum_value(c);
+ }
+ return mrb_float_value(mrb, (mrb_float)a * mrb_to_flo(mrb, y));
+}
+
+/* 15.2.8.3.3 */
+/*
+ * call-seq:
+ * fix * numeric -> numeric_result
+ *
+ * Performs multiplication: the class of the resulting object depends on
+ * the class of <code>numeric</code> and on the magnitude of the
+ * result.
+ */
+
+static mrb_value
+fix_mul(mrb_state *mrb, mrb_value x)
+{
+ mrb_value y;
+
+ mrb_get_args(mrb, "o", &y);
+ return mrb_fixnum_mul(mrb, x, y);
+}
+
+static void
+fixdivmod(mrb_state *mrb, mrb_int x, mrb_int y, mrb_int *divp, mrb_int *modp)
+{
+ mrb_int div, mod;
+
+ /* TODO: add mrb_assert(y != 0) to make sure */
+
+ if (y < 0) {
+ if (x < 0)
+ div = -x / -y;
+ else
+ div = - (x / -y);
+ }
+ else {
+ if (x < 0)
+ div = - (-x / y);
+ else
+ div = x / y;
+ }
+ mod = x - div*y;
+ if ((mod < 0 && y > 0) || (mod > 0 && y < 0)) {
+ mod += y;
+ div -= 1;
+ }
+ if (divp) *divp = div;
+ if (modp) *modp = mod;
+}
+
+/* 15.2.8.3.5 */
+/*
+ * call-seq:
+ * fix % other -> real
+ * fix.modulo(other) -> real
+ *
+ * Returns <code>fix</code> modulo <code>other</code>.
+ * See <code>numeric.divmod</code> for more information.
+ */
+
+static mrb_value
+fix_mod(mrb_state *mrb, mrb_value x)
+{
+ mrb_value y;
+ mrb_int a;
+
+ mrb_get_args(mrb, "o", &y);
+ a = mrb_fixnum(x);
+ if (mrb_fixnum_p(y)) {
+ mrb_int b, mod;
+
+ if ((b=mrb_fixnum(y)) == 0) {
+ return mrb_float_value(mrb, NAN);
+ }
+ fixdivmod(mrb, a, b, 0, &mod);
+ return mrb_fixnum_value(mod);
+ }
+ else {
+ mrb_float mod;
+
+ flodivmod(mrb, (mrb_float)a, mrb_to_flo(mrb, y), 0, &mod);
+ return mrb_float_value(mrb, mod);
+ }
+}
+
+/*
+ * call-seq:
+ * fix.divmod(numeric) -> array
+ *
+ * See <code>Numeric#divmod</code>.
+ */
+static mrb_value
+fix_divmod(mrb_state *mrb, mrb_value x)
+{
+ mrb_value y;
+
+ mrb_get_args(mrb, "o", &y);
+
+ if (mrb_fixnum_p(y)) {
+ mrb_int div, mod;
+
+ if (mrb_fixnum(y) == 0) {
+ return mrb_assoc_new(mrb, ((mrb_fixnum(x) == 0) ?
+ mrb_float_value(mrb, NAN):
+ mrb_float_value(mrb, INFINITY)),
+ mrb_float_value(mrb, NAN));
+ }
+ fixdivmod(mrb, mrb_fixnum(x), mrb_fixnum(y), &div, &mod);
+ return mrb_assoc_new(mrb, mrb_fixnum_value(div), mrb_fixnum_value(mod));
+ }
+ else {
+ mrb_float div, mod;
+ mrb_value a, b;
+
+ flodivmod(mrb, (mrb_float)mrb_fixnum(x), mrb_to_flo(mrb, y), &div, &mod);
+ a = mrb_float_value(mrb, div);
+ b = mrb_float_value(mrb, mod);
+ return mrb_assoc_new(mrb, a, b);
+ }
+}
+
+static mrb_value
+flo_divmod(mrb_state *mrb, mrb_value x)
+{
+ mrb_value y;
+ mrb_float div, mod;
+ mrb_value a, b;
+
+ mrb_get_args(mrb, "o", &y);
+
+ flodivmod(mrb, mrb_float(x), mrb_to_flo(mrb, y), &div, &mod);
+ a = mrb_float_value(mrb, div);
+ b = mrb_float_value(mrb, mod);
+ return mrb_assoc_new(mrb, a, b);
+}
+
+/* 15.2.8.3.7 */
+/*
+ * call-seq:
+ * fix == other -> true or false
+ *
+ * Return <code>true</code> if <code>fix</code> equals <code>other</code>
+ * numerically.
+ *
+ * 1 == 2 #=> false
+ * 1 == 1.0 #=> true
+ */
+
+static mrb_value
+fix_equal(mrb_state *mrb, mrb_value x)
+{
+ mrb_value y;
+
+ mrb_get_args(mrb, "o", &y);
+ switch (mrb_type(y)) {
+ case MRB_TT_FIXNUM:
+ return mrb_bool_value(mrb_fixnum(x) == mrb_fixnum(y));
+ case MRB_TT_FLOAT:
+ return mrb_bool_value((mrb_float)mrb_fixnum(x) == mrb_float(y));
+ default:
+ return mrb_false_value();
+ }
+}
+
+/* 15.2.8.3.8 */
+/*
+ * call-seq:
+ * ~fix -> integer
+ *
+ * One's complement: returns a number where each bit is flipped.
+ * ex.0---00001 (1)-> 1---11110 (-2)
+ * ex.0---00010 (2)-> 1---11101 (-3)
+ * ex.0---00100 (4)-> 1---11011 (-5)
+ */
+
+static mrb_value
+fix_rev(mrb_state *mrb, mrb_value num)
+{
+ mrb_int val = mrb_fixnum(num);
+
+ return mrb_fixnum_value(~val);
+}
+
+static mrb_value flo_and(mrb_state *mrb, mrb_value x);
+static mrb_value flo_or(mrb_state *mrb, mrb_value x);
+static mrb_value flo_xor(mrb_state *mrb, mrb_value x);
+#define bit_op(x,y,op1,op2) do {\
+ if (mrb_fixnum_p(y)) return mrb_fixnum_value(mrb_fixnum(x) op2 mrb_fixnum(y));\
+ return flo_ ## op1(mrb, mrb_float_value(mrb, mrb_fixnum(x)));\
+} while(0)
+
+/* 15.2.8.3.9 */
+/*
+ * call-seq:
+ * fix & integer -> integer_result
+ *
+ * Bitwise AND.
+ */
+
+static mrb_value
+fix_and(mrb_state *mrb, mrb_value x)
+{
+ mrb_value y;
+
+ mrb_get_args(mrb, "o", &y);
+ bit_op(x, y, and, &);
+}
+
+/* 15.2.8.3.10 */
+/*
+ * call-seq:
+ * fix | integer -> integer_result
+ *
+ * Bitwise OR.
+ */
+
+static mrb_value
+fix_or(mrb_state *mrb, mrb_value x)
+{
+ mrb_value y;
+
+ mrb_get_args(mrb, "o", &y);
+ bit_op(x, y, or, |);
+}
+
+/* 15.2.8.3.11 */
+/*
+ * call-seq:
+ * fix ^ integer -> integer_result
+ *
+ * Bitwise EXCLUSIVE OR.
+ */
+
+static mrb_value
+fix_xor(mrb_state *mrb, mrb_value x)
+{
+ mrb_value y;
+
+ mrb_get_args(mrb, "o", &y);
+ bit_op(x, y, or, ^);
+}
+
+#define NUMERIC_SHIFT_WIDTH_MAX (MRB_INT_BIT-1)
+
+static mrb_value
+lshift(mrb_state *mrb, mrb_int val, mrb_int width)
+{
+ if (width < 0) { /* mrb_int overflow */
+ return mrb_float_value(mrb, INFINITY);
+ }
+ if (val > 0) {
+ if ((width > NUMERIC_SHIFT_WIDTH_MAX) ||
+ (val > (MRB_INT_MAX >> width))) {
+ goto bit_overflow;
+ }
+ return mrb_fixnum_value(val << width);
+ }
+ else {
+ if ((width > NUMERIC_SHIFT_WIDTH_MAX) ||
+ (val < (MRB_INT_MIN >> width))) {
+ goto bit_overflow;
+ }
+ return mrb_fixnum_value(val * (1u << width));
+ }
+
+bit_overflow:
+ {
+ mrb_float f = (mrb_float)val;
+ while (width--) {
+ f *= 2;
+ }
+ return mrb_float_value(mrb, f);
+ }
+}
+
+static mrb_value
+rshift(mrb_int val, mrb_int width)
+{
+ if (width < 0) { /* mrb_int overflow */
+ return mrb_fixnum_value(0);
+ }
+ if (width >= NUMERIC_SHIFT_WIDTH_MAX) {
+ if (val < 0) {
+ return mrb_fixnum_value(-1);
+ }
+ return mrb_fixnum_value(0);
+ }
+ return mrb_fixnum_value(val >> width);
+}
+
+/* 15.2.8.3.12 */
+/*
+ * call-seq:
+ * fix << count -> integer or float
+ *
+ * Shifts _fix_ left _count_ positions (right if _count_ is negative).
+ */
+
+static mrb_value
+fix_lshift(mrb_state *mrb, mrb_value x)
+{
+ mrb_int width, val;
+
+ mrb_get_args(mrb, "i", &width);
+ if (width == 0) {
+ return x;
+ }
+ val = mrb_fixnum(x);
+ if (val == 0) return x;
+ if (width < 0) {
+ return rshift(val, -width);
+ }
+ return lshift(mrb, val, width);
+}
+
+/* 15.2.8.3.13 */
+/*
+ * call-seq:
+ * fix >> count -> integer or float
+ *
+ * Shifts _fix_ right _count_ positions (left if _count_ is negative).
+ */
+
+static mrb_value
+fix_rshift(mrb_state *mrb, mrb_value x)
+{
+ mrb_int width, val;
+
+ mrb_get_args(mrb, "i", &width);
+ if (width == 0) {
+ return x;
+ }
+ val = mrb_fixnum(x);
+ if (val == 0) return x;
+ if (width < 0) {
+ return lshift(mrb, val, -width);
+ }
+ return rshift(val, width);
+}
+
+/* 15.2.8.3.23 */
+/*
+ * call-seq:
+ * fix.to_f -> float
+ *
+ * Converts <i>fix</i> to a <code>Float</code>.
+ *
+ */
+
+static mrb_value
+fix_to_f(mrb_state *mrb, mrb_value num)
+{
+ return mrb_float_value(mrb, (mrb_float)mrb_fixnum(num));
+}
+
+/*
+ * Document-class: FloatDomainError
+ *
+ * Raised when attempting to convert special float values
+ * (in particular infinite or NaN)
+ * to numerical classes which don't support them.
+ *
+ * Float::INFINITY.to_r
+ *
+ * <em>raises the exception:</em>
+ *
+ * FloatDomainError: Infinity
+ */
+/* ------------------------------------------------------------------------*/
+MRB_API mrb_value
+mrb_flo_to_fixnum(mrb_state *mrb, mrb_value x)
+{
+ mrb_int z = 0;
+
+ if (!mrb_float_p(x)) {
+ mrb_raise(mrb, E_TYPE_ERROR, "non float value");
+ z = 0; /* not reached. just suppress warnings. */
+ }
+ else {
+ mrb_float d = mrb_float(x);
+
+ if (isinf(d)) {
+ mrb_raise(mrb, E_FLOATDOMAIN_ERROR, d < 0 ? "-Infinity" : "Infinity");
+ }
+ if (isnan(d)) {
+ mrb_raise(mrb, E_FLOATDOMAIN_ERROR, "NaN");
+ }
+ if (FIXABLE_FLOAT(d)) {
+ z = (mrb_int)d;
+ }
+ else {
+ mrb_raisef(mrb, E_ARGUMENT_ERROR, "number (%S) too big for integer", x);
+ }
+ }
+ return mrb_fixnum_value(z);
+}
+
+mrb_value
+mrb_fixnum_plus(mrb_state *mrb, mrb_value x, mrb_value y)
+{
+ mrb_int a;
+
+ a = mrb_fixnum(x);
+ if (mrb_fixnum_p(y)) {
+ mrb_int b, c;
+
+ if (a == 0) return y;
+ b = mrb_fixnum(y);
+ if (mrb_int_add_overflow(a, b, &c)) {
+ return mrb_float_value(mrb, (mrb_float)a + (mrb_float)b);
+ }
+ return mrb_fixnum_value(c);
+ }
+ return mrb_float_value(mrb, (mrb_float)a + mrb_to_flo(mrb, y));
+}
+
+/* 15.2.8.3.1 */
+/*
+ * call-seq:
+ * fix + numeric -> numeric_result
+ *
+ * Performs addition: the class of the resulting object depends on
+ * the class of <code>numeric</code> and on the magnitude of the
+ * result.
+ */
+static mrb_value
+fix_plus(mrb_state *mrb, mrb_value self)
+{
+ mrb_value other;
+
+ mrb_get_args(mrb, "o", &other);
+ return mrb_fixnum_plus(mrb, self, other);
+}
+
+mrb_value
+mrb_fixnum_minus(mrb_state *mrb, mrb_value x, mrb_value y)
+{
+ mrb_int a;
+
+ a = mrb_fixnum(x);
+ if (mrb_fixnum_p(y)) {
+ mrb_int b, c;
+
+ b = mrb_fixnum(y);
+ if (mrb_int_sub_overflow(a, b, &c)) {
+ return mrb_float_value(mrb, (mrb_float)a - (mrb_float)b);
+ }
+ return mrb_fixnum_value(c);
+ }
+ return mrb_float_value(mrb, (mrb_float)a - mrb_to_flo(mrb, y));
+}
+
+/* 15.2.8.3.2 */
+/* 15.2.8.3.16 */
+/*
+ * call-seq:
+ * fix - numeric -> numeric_result
+ *
+ * Performs subtraction: the class of the resulting object depends on
+ * the class of <code>numeric</code> and on the magnitude of the
+ * result.
+ */
+static mrb_value
+fix_minus(mrb_state *mrb, mrb_value self)
+{
+ mrb_value other;
+
+ mrb_get_args(mrb, "o", &other);
+ return mrb_fixnum_minus(mrb, self, other);
+}
+
+
+MRB_API mrb_value
+mrb_fixnum_to_str(mrb_state *mrb, mrb_value x, int base)
+{
+ char buf[MRB_INT_BIT+1];
+ char *b = buf + sizeof buf;
+ mrb_int val = mrb_fixnum(x);
+
+ if (base < 2 || 36 < base) {
+ mrb_raisef(mrb, E_ARGUMENT_ERROR, "invalid radix %S", mrb_fixnum_value(base));
+ }
+
+ if (val == 0) {
+ *--b = '0';
+ }
+ else if (val < 0) {
+ do {
+ *--b = mrb_digitmap[-(val % base)];
+ } while (val /= base);
+ *--b = '-';
+ }
+ else {
+ do {
+ *--b = mrb_digitmap[(int)(val % base)];
+ } while (val /= base);
+ }
+
+ return mrb_str_new(mrb, b, buf + sizeof(buf) - b);
+}
+
+/* 15.2.8.3.25 */
+/*
+ * call-seq:
+ * fix.to_s(base=10) -> string
+ *
+ * Returns a string containing the representation of <i>fix</i> radix
+ * <i>base</i> (between 2 and 36).
+ *
+ * 12345.to_s #=> "12345"
+ * 12345.to_s(2) #=> "11000000111001"
+ * 12345.to_s(8) #=> "30071"
+ * 12345.to_s(10) #=> "12345"
+ * 12345.to_s(16) #=> "3039"
+ * 12345.to_s(36) #=> "9ix"
+ *
+ */
+static mrb_value
+fix_to_s(mrb_state *mrb, mrb_value self)
+{
+ mrb_int base = 10;
+
+ mrb_get_args(mrb, "|i", &base);
+ return mrb_fixnum_to_str(mrb, self, base);
+}
+
+/* 15.2.9.3.6 */
+/*
+ * call-seq:
+ * self.f <=> other.f => -1, 0, +1
+ * < => -1
+ * = => 0
+ * > => +1
+ * Comparison---Returns -1, 0, or +1 depending on whether <i>fix</i> is
+ * less than, equal to, or greater than <i>numeric</i>. This is the
+ * basis for the tests in <code>Comparable</code>.
+ */
+static mrb_value
+num_cmp(mrb_state *mrb, mrb_value self)
+{
+ mrb_value other;
+ mrb_float x, y;
+
+ mrb_get_args(mrb, "o", &other);
+
+ x = mrb_to_flo(mrb, self);
+ switch (mrb_type(other)) {
+ case MRB_TT_FIXNUM:
+ y = (mrb_float)mrb_fixnum(other);
+ break;
+ case MRB_TT_FLOAT:
+ y = mrb_float(other);
+ break;
+ default:
+ return mrb_nil_value();
+ }
+ if (x > y)
+ return mrb_fixnum_value(1);
+ else {
+ if (x < y)
+ return mrb_fixnum_value(-1);
+ return mrb_fixnum_value(0);
+ }
+}
+
+/* 15.2.9.3.1 */
+/*
+ * call-seq:
+ * float + other -> float
+ *
+ * Returns a new float which is the sum of <code>float</code>
+ * and <code>other</code>.
+ */
+static mrb_value
+flo_plus(mrb_state *mrb, mrb_value x)
+{
+ mrb_value y;
+
+ mrb_get_args(mrb, "o", &y);
+ return mrb_float_value(mrb, mrb_float(x) + mrb_to_flo(mrb, y));
+}
+
+/* ------------------------------------------------------------------------*/
+void
+mrb_init_numeric(mrb_state *mrb)
+{
+ struct RClass *numeric, *integer, *fixnum, *fl;
+
+ /* Numeric Class */
+ numeric = mrb_define_class(mrb, "Numeric", mrb->object_class); /* 15.2.7 */
+
+ mrb_define_method(mrb, numeric, "**", num_pow, MRB_ARGS_REQ(1));
+ mrb_define_method(mrb, numeric, "/", num_div, MRB_ARGS_REQ(1)); /* 15.2.8.3.4 */
+ mrb_define_method(mrb, numeric, "quo", num_div, MRB_ARGS_REQ(1)); /* 15.2.7.4.5 (x) */
+ mrb_define_method(mrb, numeric, "<=>", num_cmp, MRB_ARGS_REQ(1)); /* 15.2.9.3.6 */
+
+ /* Integer Class */
+ integer = mrb_define_class(mrb, "Integer", numeric); /* 15.2.8 */
+ MRB_SET_INSTANCE_TT(integer, MRB_TT_FIXNUM);
+ mrb_undef_class_method(mrb, integer, "new");
+ mrb_define_method(mrb, integer, "to_i", int_to_i, MRB_ARGS_NONE()); /* 15.2.8.3.24 */
+ mrb_define_method(mrb, integer, "to_int", int_to_i, MRB_ARGS_NONE());
+ mrb_define_method(mrb, integer, "ceil", int_to_i, MRB_ARGS_REQ(1)); /* 15.2.8.3.8 (x) */
+ mrb_define_method(mrb, integer, "floor", int_to_i, MRB_ARGS_REQ(1)); /* 15.2.8.3.10 (x) */
+ mrb_define_method(mrb, integer, "round", int_to_i, MRB_ARGS_REQ(1)); /* 15.2.8.3.12 (x) */
+ mrb_define_method(mrb, integer, "truncate", int_to_i, MRB_ARGS_REQ(1)); /* 15.2.8.3.15 (x) */
+
+ /* Fixnum Class */
+ mrb->fixnum_class = fixnum = mrb_define_class(mrb, "Fixnum", integer);
+ mrb_define_method(mrb, fixnum, "+", fix_plus, MRB_ARGS_REQ(1)); /* 15.2.8.3.1 */
+ mrb_define_method(mrb, fixnum, "-", fix_minus, MRB_ARGS_REQ(1)); /* 15.2.8.3.2 */
+ mrb_define_method(mrb, fixnum, "*", fix_mul, MRB_ARGS_REQ(1)); /* 15.2.8.3.3 */
+ mrb_define_method(mrb, fixnum, "%", fix_mod, MRB_ARGS_REQ(1)); /* 15.2.8.3.5 */
+ mrb_define_method(mrb, fixnum, "==", fix_equal, MRB_ARGS_REQ(1)); /* 15.2.8.3.7 */
+ mrb_define_method(mrb, fixnum, "~", fix_rev, MRB_ARGS_NONE()); /* 15.2.8.3.8 */
+ mrb_define_method(mrb, fixnum, "&", fix_and, MRB_ARGS_REQ(1)); /* 15.2.8.3.9 */
+ mrb_define_method(mrb, fixnum, "|", fix_or, MRB_ARGS_REQ(1)); /* 15.2.8.3.10 */
+ mrb_define_method(mrb, fixnum, "^", fix_xor, MRB_ARGS_REQ(1)); /* 15.2.8.3.11 */
+ mrb_define_method(mrb, fixnum, "<<", fix_lshift, MRB_ARGS_REQ(1)); /* 15.2.8.3.12 */
+ mrb_define_method(mrb, fixnum, ">>", fix_rshift, MRB_ARGS_REQ(1)); /* 15.2.8.3.13 */
+ mrb_define_method(mrb, fixnum, "eql?", fix_eql, MRB_ARGS_REQ(1)); /* 15.2.8.3.16 */
+ mrb_define_method(mrb, fixnum, "to_f", fix_to_f, MRB_ARGS_NONE()); /* 15.2.8.3.23 */
+ mrb_define_method(mrb, fixnum, "to_s", fix_to_s, MRB_ARGS_NONE()); /* 15.2.8.3.25 */
+ mrb_define_method(mrb, fixnum, "inspect", fix_to_s, MRB_ARGS_NONE());
+ mrb_define_method(mrb, fixnum, "divmod", fix_divmod, MRB_ARGS_REQ(1)); /* 15.2.8.3.30 (x) */
+
+ /* Float Class */
+ mrb->float_class = fl = mrb_define_class(mrb, "Float", numeric); /* 15.2.9 */
+ MRB_SET_INSTANCE_TT(fl, MRB_TT_FLOAT);
+ mrb_undef_class_method(mrb, fl, "new");
+ mrb_define_method(mrb, fl, "+", flo_plus, MRB_ARGS_REQ(1)); /* 15.2.9.3.1 */
+ mrb_define_method(mrb, fl, "-", flo_minus, MRB_ARGS_REQ(1)); /* 15.2.9.3.2 */
+ mrb_define_method(mrb, fl, "*", flo_mul, MRB_ARGS_REQ(1)); /* 15.2.9.3.3 */
+ mrb_define_method(mrb, fl, "%", flo_mod, MRB_ARGS_REQ(1)); /* 15.2.9.3.5 */
+ mrb_define_method(mrb, fl, "==", flo_eq, MRB_ARGS_REQ(1)); /* 15.2.9.3.7 */
+ mrb_define_method(mrb, fl, "~", flo_rev, MRB_ARGS_NONE());
+ mrb_define_method(mrb, fl, "&", flo_and, MRB_ARGS_REQ(1));
+ mrb_define_method(mrb, fl, "|", flo_or, MRB_ARGS_REQ(1));
+ mrb_define_method(mrb, fl, "^", flo_xor, MRB_ARGS_REQ(1));
+ mrb_define_method(mrb, fl, ">>", flo_lshift, MRB_ARGS_REQ(1));
+ mrb_define_method(mrb, fl, "<<", flo_rshift, MRB_ARGS_REQ(1));
+ mrb_define_method(mrb, fl, "ceil", flo_ceil, MRB_ARGS_NONE()); /* 15.2.9.3.8 */
+ mrb_define_method(mrb, fl, "finite?", flo_finite_p, MRB_ARGS_NONE()); /* 15.2.9.3.9 */
+ mrb_define_method(mrb, fl, "floor", flo_floor, MRB_ARGS_NONE()); /* 15.2.9.3.10 */
+ mrb_define_method(mrb, fl, "infinite?", flo_infinite_p, MRB_ARGS_NONE()); /* 15.2.9.3.11 */
+ mrb_define_method(mrb, fl, "round", flo_round, MRB_ARGS_OPT(1)); /* 15.2.9.3.12 */
+ mrb_define_method(mrb, fl, "to_f", flo_to_f, MRB_ARGS_NONE()); /* 15.2.9.3.13 */
+ mrb_define_method(mrb, fl, "to_i", flo_truncate, MRB_ARGS_NONE()); /* 15.2.9.3.14 */
+ mrb_define_method(mrb, fl, "to_int", flo_truncate, MRB_ARGS_NONE());
+ mrb_define_method(mrb, fl, "truncate", flo_truncate, MRB_ARGS_NONE()); /* 15.2.9.3.15 */
+ mrb_define_method(mrb, fl, "divmod", flo_divmod, MRB_ARGS_REQ(1));
+ mrb_define_method(mrb, fl, "eql?", flo_eql, MRB_ARGS_REQ(1)); /* 15.2.8.3.16 */
+
+ mrb_define_method(mrb, fl, "to_s", flo_to_s, MRB_ARGS_NONE()); /* 15.2.9.3.16(x) */
+ mrb_define_method(mrb, fl, "inspect", flo_to_s, MRB_ARGS_NONE());
+ mrb_define_method(mrb, fl, "nan?", flo_nan_p, MRB_ARGS_NONE());
+
+#ifdef INFINITY
+ mrb_define_const(mrb, fl, "INFINITY", mrb_float_value(mrb, INFINITY));
+#endif
+#ifdef NAN
+ mrb_define_const(mrb, fl, "NAN", mrb_float_value(mrb, NAN));
+#endif
+}