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-rw-r--r--numeric.c1763
1 files changed, 0 insertions, 1763 deletions
diff --git a/numeric.c b/numeric.c
deleted file mode 100644
index 80fa1052f9..0000000000
--- a/numeric.c
+++ /dev/null
@@ -1,1763 +0,0 @@
-/**********************************************************************
-
- numeric.c -
-
- $Author$
- $Date$
- created at: Fri Aug 13 18:33:09 JST 1993
-
- Copyright (C) 1993-2001 Yukihiro Matsumoto
-
-**********************************************************************/
-
-#include "ruby.h"
-#include <math.h>
-#include <stdio.h>
-#if defined(__FreeBSD__) && __FreeBSD__ < 4
-#include <floatingpoint.h>
-#endif
-
-static ID id_coerce, id_to_i, id_div;
-
-VALUE rb_cNumeric;
-VALUE rb_cFloat;
-VALUE rb_cInteger;
-VALUE rb_cFixnum;
-
-VALUE rb_eZeroDivError;
-VALUE rb_eFloatDomainError;
-
-void
-rb_num_zerodiv()
-{
- rb_raise(rb_eZeroDivError, "divided by 0");
-}
-
-static VALUE
-num_coerce(x, y)
- VALUE x, y;
-{
- if (CLASS_OF(x) == CLASS_OF(y))
- return rb_assoc_new(y, x);
- return rb_assoc_new(rb_Float(y), rb_Float(x));
-}
-
-static VALUE
-coerce_body(x)
- VALUE *x;
-{
- return rb_funcall(x[1], id_coerce, 1, x[0]);
-}
-
-static VALUE
-coerce_rescue(x)
- VALUE *x;
-{
- rb_raise(rb_eTypeError, "%s can't be coerced into %s",
- rb_special_const_p(x[1])?
- RSTRING(rb_inspect(x[1]))->ptr:
- rb_class2name(CLASS_OF(x[1])),
- rb_class2name(CLASS_OF(x[0])));
- return Qnil; /* dummy */
-}
-
-static void
-do_coerce(x, y)
- VALUE *x, *y;
-{
- VALUE ary;
- VALUE a[2];
-
- a[0] = *x; a[1] = *y;
-
- ary = rb_rescue(coerce_body, (VALUE)a, coerce_rescue, (VALUE)a);
- if (TYPE(ary) != T_ARRAY || RARRAY(ary)->len != 2) {
- rb_raise(rb_eTypeError, "coerce must return [x, y]");
- }
-
- *x = RARRAY(ary)->ptr[0];
- *y = RARRAY(ary)->ptr[1];
-}
-
-VALUE
-rb_num_coerce_bin(x, y)
- VALUE x, y;
-{
- do_coerce(&x, &y);
- return rb_funcall(x, rb_frame_last_func(), 1, y);
-}
-
-static VALUE
-num_clone(x)
- VALUE x;
-{
- /* Numerics are immutable values, which should not be copied */
- rb_raise(rb_eTypeError, "can't clone %s", rb_class2name(CLASS_OF(x)));
- return Qnil; /* not reached */
-}
-
-static VALUE
-num_uplus(num)
- VALUE num;
-{
- return num;
-}
-
-static VALUE
-num_uminus(num)
- VALUE num;
-{
- VALUE zero;
-
- zero = INT2FIX(0);
- do_coerce(&zero, &num);
-
- return rb_funcall(zero, '-', 1, num);
-}
-
-static VALUE
-num_div(x, y)
- VALUE x, y;
-{
- return rb_funcall(x, id_div, 1, y);
-}
-
-static VALUE
-num_divmod(x, y)
- VALUE x, y;
-{
- VALUE div, mod;
-
- div = rb_funcall(x, id_div, 1, y);
- if (TYPE(div) == T_FLOAT) {
- double d = floor(RFLOAT(div)->value);
-
- if (RFLOAT(div)->value > d) {
- div = rb_float_new(d);
- }
- }
- mod = rb_funcall(x, '%', 1, y);
- return rb_assoc_new(div, mod);
-}
-
-static VALUE
-num_modulo(x, y)
- VALUE x, y;
-{
- return rb_funcall(x, '%', 1, y);
-}
-
-static VALUE
-num_remainder(x, y)
- VALUE x, y;
-{
- VALUE z = rb_funcall(x, '%', 1, y);
-
- if ((!RTEST(rb_equal(z, INT2FIX(0)))) &&
- ((RTEST(rb_funcall(x, '<', 1, INT2FIX(0))) &&
- RTEST(rb_funcall(y, '>', 1, INT2FIX(0)))) ||
- (RTEST(rb_funcall(x, '>', 1, INT2FIX(0))) &&
- RTEST(rb_funcall(y, '<', 1, INT2FIX(0)))))) {
- return rb_funcall(z, '-', 1, y);
- }
- return z;
-}
-
-static VALUE
-num_int_p(num)
- VALUE num;
-{
- return Qfalse;
-}
-
-static VALUE
-num_abs(num)
- VALUE num;
-{
- if (RTEST(rb_funcall(num, '<', 1, INT2FIX(0)))) {
- return rb_funcall(num, rb_intern("-@"), 0);
- }
- return num;
-}
-
-static VALUE
-num_zero_p(num)
- VALUE num;
-{
- if (RTEST(rb_equal(num, INT2FIX(0)))) {
- return Qtrue;
- }
- return Qfalse;
-}
-
-static VALUE
-num_nonzero_p(num)
- VALUE num;
-{
- if (RTEST(rb_funcall(num, rb_intern("zero?"), 0, 0))) {
- return Qnil;
- }
- return num;
-}
-
-VALUE
-rb_float_new(d)
- double d;
-{
- NEWOBJ(flt, struct RFloat);
- OBJSETUP(flt, rb_cFloat, T_FLOAT);
-
- flt->value = d;
- return (VALUE)flt;
-}
-
-static VALUE
-flo_to_s(flt)
- VALUE flt;
-{
- char buf[24];
- char *fmt = "%.10g";
- double value = RFLOAT(flt)->value;
- double avalue, d1, d2;
-
- if (isinf(value))
- return rb_str_new2(value < 0 ? "-Infinity" : "Infinity");
- else if(isnan(value))
- return rb_str_new2("NaN");
-
- avalue = fabs(value);
- if (avalue == 0.0) {
- fmt = "%.1f";
- }
- else if (avalue < 1.0e-3) {
- d1 = avalue;
- while (d1 < 1.0) d1 *= 10.0;
- d1 = modf(d1, &d2);
- if (d1 == 0) fmt = "%.1e";
- }
- else if (avalue >= 1.0e10) {
- d1 = avalue;
- while (d1 > 10.0) d1 /= 10.0;
- d1 = modf(d1, &d2);
- if (d1 == 0) fmt = "%.1e";
- }
- else if ((d1 = modf(value, &d2)) == 0) {
- fmt = "%.1f";
- }
- sprintf(buf, fmt, value);
-
- return rb_str_new2(buf);
-}
-
-static VALUE
-flo_coerce(x, y)
- VALUE x, y;
-{
- return rb_assoc_new(rb_Float(y), x);
-}
-
-static VALUE
-flo_uminus(flt)
- VALUE flt;
-{
- return rb_float_new(-RFLOAT(flt)->value);
-}
-
-static VALUE
-flo_plus(x, y)
- VALUE x, y;
-{
- switch (TYPE(y)) {
- case T_FIXNUM:
- return rb_float_new(RFLOAT(x)->value + (double)FIX2LONG(y));
- case T_BIGNUM:
- return rb_float_new(RFLOAT(x)->value + rb_big2dbl(y));
- case T_FLOAT:
- return rb_float_new(RFLOAT(x)->value + RFLOAT(y)->value);
- default:
- return rb_num_coerce_bin(x, y);
- }
-}
-
-static VALUE
-flo_minus(x, y)
- VALUE x, y;
-{
- switch (TYPE(y)) {
- case T_FIXNUM:
- return rb_float_new(RFLOAT(x)->value - (double)FIX2LONG(y));
- case T_BIGNUM:
- return rb_float_new(RFLOAT(x)->value - rb_big2dbl(y));
- case T_FLOAT:
- return rb_float_new(RFLOAT(x)->value - RFLOAT(y)->value);
- default:
- return rb_num_coerce_bin(x, y);
- }
-}
-
-static VALUE
-flo_mul(x, y)
- VALUE x, y;
-{
- switch (TYPE(y)) {
- case T_FIXNUM:
- return rb_float_new(RFLOAT(x)->value * (double)FIX2LONG(y));
- case T_BIGNUM:
- return rb_float_new(RFLOAT(x)->value * rb_big2dbl(y));
- case T_FLOAT:
- return rb_float_new(RFLOAT(x)->value * RFLOAT(y)->value);
- default:
- return rb_num_coerce_bin(x, y);
- }
-}
-
-static VALUE
-flo_div(x, y)
- VALUE x, y;
-{
- long f_y;
- double d;
-
- switch (TYPE(y)) {
- case T_FIXNUM:
- f_y = FIX2LONG(y);
- return rb_float_new(RFLOAT(x)->value / (double)f_y);
- case T_BIGNUM:
- d = rb_big2dbl(y);
- return rb_float_new(RFLOAT(x)->value / d);
- case T_FLOAT:
- return rb_float_new(RFLOAT(x)->value / RFLOAT(y)->value);
- default:
- return rb_num_coerce_bin(x, y);
- }
-}
-
-static void
-flodivmod(x, y, divp, modp)
- double x, y;
- double *divp, *modp;
-{
- double div, mod;
-
-#ifdef HAVE_FMOD
- mod = fmod(x, y);
-#else
- {
- double z;
-
- modf(x/y, &z);
- mod = x - z * y;
- }
-#endif
- div = (x - mod) / y;
- if (y*mod < 0) {
- mod += y;
- div -= 1.0;
- }
- if (modp) *modp = mod;
- if (divp) *divp = div;
-}
-
-static VALUE
-flo_mod(x, y)
- VALUE x, y;
-{
- double fy, mod;
-
- switch (TYPE(y)) {
- case T_FIXNUM:
- fy = (double)FIX2LONG(y);
- break;
- case T_BIGNUM:
- fy = rb_big2dbl(y);
- break;
- case T_FLOAT:
- fy = RFLOAT(y)->value;
- break;
- default:
- return rb_num_coerce_bin(x, y);
- }
- flodivmod(RFLOAT(x)->value, fy, 0, &mod);
- return rb_float_new(mod);
-}
-
-static VALUE
-flo_divmod(x, y)
- VALUE x, y;
-{
- double fy, div, mod;
-
- switch (TYPE(y)) {
- case T_FIXNUM:
- fy = (double)FIX2LONG(y);
- break;
- case T_BIGNUM:
- fy = rb_big2dbl(y);
- break;
- case T_FLOAT:
- fy = RFLOAT(y)->value;
- break;
- default:
- return rb_num_coerce_bin(x, y);
- }
- flodivmod(RFLOAT(x)->value, fy, &div, &mod);
- return rb_assoc_new(rb_float_new(div), rb_float_new(mod));
-}
-
-static VALUE
-flo_pow(x, y)
- VALUE x, y;
-{
- switch (TYPE(y)) {
- case T_FIXNUM:
- return rb_float_new(pow(RFLOAT(x)->value, (double)FIX2LONG(y)));
- case T_BIGNUM:
- return rb_float_new(pow(RFLOAT(x)->value, rb_big2dbl(y)));
- case T_FLOAT:
- return rb_float_new(pow(RFLOAT(x)->value, RFLOAT(y)->value));
- default:
- return rb_num_coerce_bin(x, y);
- }
-}
-
-static VALUE
-num_eql(x, y)
- VALUE x, y;
-{
- if (TYPE(x) != TYPE(y)) return Qfalse;
-
- return rb_equal(x, y);
-}
-
-static VALUE
-num_equal(x, y)
- VALUE x, y;
-{
- return rb_equal(y, x);
-}
-
-static VALUE
-flo_eq(x, y)
- VALUE x, y;
-{
- switch (TYPE(y)) {
- case T_FIXNUM:
- if (RFLOAT(x)->value == FIX2LONG(y)) return Qtrue;
- return Qfalse;
- case T_BIGNUM:
- return (RFLOAT(x)->value == rb_big2dbl(y))?Qtrue:Qfalse;
- case T_FLOAT:
- return (RFLOAT(x)->value == RFLOAT(y)->value)?Qtrue:Qfalse;
- default:
- return num_equal(x, y);
- }
-}
-
-static VALUE
-flo_hash(num)
- VALUE num;
-{
- double d;
- char *c;
- int i, hash;
-
- d = RFLOAT(num)->value;
- if (d == 0) d = fabs(d);
- c = (char*)&d;
- for (hash=0, i=0; i<sizeof(double);i++) {
- hash += c[i] * 971;
- }
- if (hash < 0) hash = -hash;
- return INT2FIX(hash);
-}
-
-static VALUE
-flo_cmp(x, y)
- VALUE x, y;
-{
- double a, b;
-
- a = RFLOAT(x)->value;
- switch (TYPE(y)) {
- case T_FIXNUM:
- b = (double)FIX2LONG(y);
- break;
-
- case T_BIGNUM:
- b = rb_big2dbl(y);
- break;
-
- case T_FLOAT:
- b = RFLOAT(y)->value;
- break;
-
- default:
- return rb_num_coerce_bin(x, y);
- }
- if (a == b) return INT2FIX(0);
- if (a > b) return INT2FIX(1);
- if (a < b) return INT2FIX(-1);
- rb_raise(rb_eFloatDomainError, "comparing NaN");
-}
-
-static VALUE
-flo_gt(x, y)
- VALUE x, y;
-{
- double a, b;
-
- a = RFLOAT(x)->value;
- switch (TYPE(y)) {
- case T_FIXNUM:
- b = (double)FIX2LONG(y);
- break;
-
- case T_BIGNUM:
- b = rb_big2dbl(y);
- break;
-
- case T_FLOAT:
- b = RFLOAT(y)->value;
- break;
-
- default:
- return rb_num_coerce_bin(x, y);
- }
- return (a > b)?Qtrue:Qfalse;
-}
-
-static VALUE
-flo_ge(x, y)
- VALUE x, y;
-{
- double a, b;
-
- a = RFLOAT(x)->value;
- switch (TYPE(y)) {
- case T_FIXNUM:
- b = (double)FIX2LONG(y);
- break;
-
- case T_BIGNUM:
- b = rb_big2dbl(y);
- break;
-
- case T_FLOAT:
- b = RFLOAT(y)->value;
- break;
-
- default:
- return rb_num_coerce_bin(x, y);
- }
- return (a >= b)?Qtrue:Qfalse;
-}
-
-static VALUE
-flo_lt(x, y)
- VALUE x, y;
-{
- double a, b;
-
- a = RFLOAT(x)->value;
- switch (TYPE(y)) {
- case T_FIXNUM:
- b = (double)FIX2LONG(y);
- break;
-
- case T_BIGNUM:
- b = rb_big2dbl(y);
- break;
-
- case T_FLOAT:
- b = RFLOAT(y)->value;
- break;
-
- default:
- return rb_num_coerce_bin(x, y);
- }
- return (a < b)?Qtrue:Qfalse;
-}
-
-static VALUE
-flo_le(x, y)
- VALUE x, y;
-{
- double a, b;
-
- a = RFLOAT(x)->value;
- switch (TYPE(y)) {
- case T_FIXNUM:
- b = (double)FIX2LONG(y);
- break;
-
- case T_BIGNUM:
- b = rb_big2dbl(y);
- break;
-
- case T_FLOAT:
- b = RFLOAT(y)->value;
- break;
-
- default:
- return rb_num_coerce_bin(x, y);
- }
- return (a <= b)?Qtrue:Qfalse;
-}
-
-static VALUE
-flo_eql(x, y)
- VALUE x, y;
-{
- if (TYPE(y) == T_FLOAT && RFLOAT(x)->value == RFLOAT(y)->value) {
- return Qtrue;
- }
- return Qfalse;
-}
-
-static VALUE
-flo_to_f(num)
- VALUE num;
-{
- return num;
-}
-
-static VALUE
-flo_abs(flt)
- VALUE flt;
-{
- double val = fabs(RFLOAT(flt)->value);
- return rb_float_new(val);
-}
-
-static VALUE
-flo_zero_p(num)
- VALUE num;
-{
- if (RFLOAT(num)->value == 0.0) {
- return Qtrue;
- }
- return Qfalse;
-}
-
-static VALUE flo_is_nan_p(num)
- VALUE num;
-{
-
- double value = RFLOAT(num)->value;
-
- return isnan(value) ? Qtrue : Qfalse;
-}
-
-static VALUE flo_is_infinite_p(num)
- VALUE num;
-{
- double value = RFLOAT(num)->value;
-
- if (isinf(value)) {
- return INT2FIX( value < 0 ? -1 : +1 );
- }
-
- return Qnil;
-}
-
-static VALUE flo_is_finite_p(num)
- VALUE num;
-{
- double value = RFLOAT(num)->value;
-
- if (isinf(value) || isnan(value))
- return Qfalse;
-
- return Qtrue;
-}
-
-
-static VALUE
-flo_floor(num)
- VALUE num;
-{
- double f = floor(RFLOAT(num)->value);
- long val;
-
- if (!FIXABLE(f)) {
- return rb_dbl2big(f);
- }
- val = f;
- return INT2FIX(val);
-}
-
-static VALUE
-flo_ceil(num)
- VALUE num;
-{
- double f = ceil(RFLOAT(num)->value);
- long val;
-
- if (!FIXABLE(f)) {
- return rb_dbl2big(f);
- }
- val = f;
- return INT2FIX(val);
-}
-
-static VALUE
-flo_round(num)
- VALUE num;
-{
- double f = RFLOAT(num)->value;
- long val;
-
- if (f > 0.0) f = floor(f+0.5);
- if (f < 0.0) f = ceil(f-0.5);
-
- if (!FIXABLE(f)) {
- return rb_dbl2big(f);
- }
- val = f;
- return INT2FIX(val);
-}
-
-static VALUE
-flo_truncate(num)
- VALUE num;
-{
- double f = RFLOAT(num)->value;
- long val;
-
- if (f > 0.0) f = floor(f);
- if (f < 0.0) f = ceil(f);
-
- if (!FIXABLE(f)) {
- return rb_dbl2big(f);
- }
- val = f;
- return INT2FIX(val);
-}
-
-static VALUE
-num_floor(num)
- VALUE num;
-{
- return flo_floor(rb_Float(num));
-}
-
-static VALUE
-num_ceil(num)
- VALUE num;
-{
- return flo_ceil(rb_Float(num));
-}
-
-static VALUE
-num_round(num)
- VALUE num;
-{
- return flo_round(rb_Float(num));
-}
-
-static VALUE
-num_truncate(num)
- VALUE num;
-{
- return flo_truncate(rb_Float(num));
-}
-
-long
-rb_num2long(val)
- VALUE val;
-{
- if (NIL_P(val)) {
- rb_raise(rb_eTypeError, "no implicit conversion to integer from nil");
- }
-
- if (FIXNUM_P(val)) return FIX2LONG(val);
-
- switch (TYPE(val)) {
- case T_FLOAT:
- if (RFLOAT(val)->value <= (double)LONG_MAX
- && RFLOAT(val)->value >= (double)LONG_MIN) {
- return (long)(RFLOAT(val)->value);
- }
- else {
- char buf[24];
- char *s;
-
- sprintf(buf, "%-.10g", RFLOAT(val)->value);
- if (s = strchr(buf, ' ')) *s = '\0';
- rb_raise(rb_eRangeError, "float %s out of range of integer", buf);
- }
-
- case T_BIGNUM:
- return rb_big2long(val);
-
- case T_STRING:
- rb_raise(rb_eTypeError, "no implicit conversion to integer from string");
- return Qnil; /* not reached */
-
- case T_TRUE:
- case T_FALSE:
- rb_raise(rb_eTypeError, "no implicit conversion to integer from boolean");
- return Qnil; /* not reached */
-
- default:
- val = rb_to_int(val);
- return NUM2LONG(val);
- }
-}
-
-unsigned long
-rb_num2ulong(val)
- VALUE val;
-{
- if (TYPE(val) == T_BIGNUM) {
- return rb_big2ulong(val);
- }
- return (unsigned long)rb_num2long(val);
-}
-
-#if SIZEOF_INT < SIZEOF_LONG
-int
-rb_num2int(val)
- VALUE val;
-{
- long num = rb_num2long(val);
-
- if (num < INT_MIN || INT_MAX < num) {
- rb_raise(rb_eRangeError, "integer %d too big to convert to `int'", num);
- }
- return (int)num;
-}
-
-int
-rb_fix2int(val)
- VALUE val;
-{
- long num = FIXNUM_P(val)?FIX2LONG(val):rb_num2long(val);
-
- if (num < INT_MIN || INT_MAX < num) {
- rb_raise(rb_eRangeError, "integer %d too big to convert to `int'", num);
- }
- return (int)num;
-}
-#else
-int
-rb_num2int(val)
- VALUE val;
-{
- return rb_num2long(val);
-}
-
-int
-rb_fix2int(val)
- VALUE val;
-{
- return FIX2INT(val);
-}
-#endif
-
-VALUE
-rb_num2fix(val)
- VALUE val;
-{
- long v;
-
- if (FIXNUM_P(val)) return val;
-
- v = rb_num2long(val);
- if (!FIXABLE(v))
- rb_raise(rb_eRangeError, "integer %d out of range of fixnum", v);
- return INT2FIX(v);
-}
-
-#if HAVE_LONG_LONG
-
-LONG_LONG
-rb_num2ll(val)
- VALUE val;
-{
- if (NIL_P(val)) {
- rb_raise(rb_eTypeError, "no implicit conversion from nil");
- }
-
- if (FIXNUM_P(val)) return (LONG_LONG)FIX2LONG(val);
-
- switch (TYPE(val)) {
- case T_FLOAT:
- if (RFLOAT(val)->value <= (double)LLONG_MAX
- && RFLOAT(val)->value >= (double)LLONG_MIN) {
- return (LONG_LONG)(RFLOAT(val)->value);
- }
- else {
- char buf[24];
- char *s;
-
- sprintf(buf, "%-.10g", RFLOAT(val)->value);
- if (s = strchr(buf, ' ')) *s = '\0';
- rb_raise(rb_eRangeError, "float %s out of range of long long", buf);
- }
-
- case T_BIGNUM:
- return rb_big2ll(val);
-
- case T_STRING:
- rb_raise(rb_eTypeError, "no implicit conversion from string");
- return Qnil; /* not reached */
-
- case T_TRUE:
- case T_FALSE:
- rb_raise(rb_eTypeError, "no implicit conversion from boolean");
- return Qnil; /* not reached */
-
- default:
- val = rb_to_int(val);
- return NUM2LL(val);
- }
-}
-
-unsigned LONG_LONG
-rb_num2ull(val)
- VALUE val;
-{
- if (TYPE(val) == T_BIGNUM) {
- return rb_big2ull(val);
- }
- return (unsigned LONG_LONG)rb_num2ll(val);
-}
-
-#endif /* HAVE_LONG_LONG */
-
-static VALUE
-int_to_i(num)
- VALUE num;
-{
- return num;
-}
-
-static VALUE
-int_int_p(num)
- VALUE num;
-{
- return Qtrue;
-}
-
-static VALUE
-int_succ(num)
- VALUE num;
-{
- return rb_funcall(num, '+', 1, INT2FIX(1));
-}
-
-static VALUE
-int_chr(num)
- VALUE num;
-{
- char c;
- long i = NUM2LONG(num);
-
- if (i < 0 || 0xff < i)
- rb_raise(rb_eRangeError, "%d out of char range", i);
- c = i;
- return rb_str_new(&c, 1);
-}
-
-static VALUE
-rb_fix_induced_from(klass, x)
- VALUE klass, x;
-{
- return rb_num2fix(x);
-}
-
-static VALUE
-rb_int_induced_from(klass, x)
- VALUE klass, x;
-{
- switch (TYPE(x)) {
- case T_FIXNUM:
- case T_BIGNUM:
- return x;
- case T_FLOAT:
- return rb_funcall(x, rb_intern("to_i"), 0);
- default:
- rb_raise(rb_eTypeError, "failed to convert %s into Integer",
- rb_class2name(CLASS_OF(x)));
- }
-}
-
-static VALUE
-rb_flo_induced_from(klass, x)
- VALUE klass, x;
-{
- switch (TYPE(x)) {
- case T_FIXNUM:
- case T_BIGNUM:
- return rb_funcall(x, rb_intern("to_f"), 0);
- case T_FLOAT:
- return x;
- default:
- rb_raise(rb_eTypeError, "failed to convert %s into Float",
- rb_class2name(CLASS_OF(x)));
- }
-}
-
-static VALUE
-fix_uminus(num)
- VALUE num;
-{
- return rb_int2inum(-FIX2LONG(num));
-}
-
-VALUE
-rb_fix2str(x, base)
- VALUE x;
- int base;
-{
- char fmt[4], buf[22], *b = buf;
- long val = FIX2LONG(x);
-
- fmt[0] = '%'; fmt[1] = 'l'; fmt[3] = '\0';
- if (base == 10) fmt[2] = 'd';
- else if (base == 16) fmt[2] = 'x';
- else if (base == 8) fmt[2] = 'o';
- else rb_raise(rb_eArgError, "illegal radix %d", base);
- if (val < 0) {
- val = -val;
- *b++ = '-';
- }
-
- sprintf(b, fmt, val);
- return rb_str_new2(buf);
-}
-
-static VALUE
-fix_to_s(argc, argv, x)
- int argc;
- VALUE *argv;
- VALUE x;
-{
- VALUE b;
- int base;
-
- rb_scan_args(argc, argv, "01", &b);
- if (argc == 0) base = 10;
- else base = NUM2INT(b);
-
- if (base == 2) {
- /* rb_fix2str() does not handle binary */
- return rb_big2str(rb_int2big(FIX2INT(x)), 2);
- }
- return rb_fix2str(x, base);
-}
-
-static VALUE
-fix_plus(x, y)
- VALUE x, y;
-{
- if (FIXNUM_P(y)) {
- long a, b, c;
- VALUE r;
-
- a = FIX2LONG(x);
- b = FIX2LONG(y);
- c = a + b;
- r = INT2FIX(c);
-
- if (FIX2LONG(r) != c) {
- r = rb_big_plus(rb_int2big(a), rb_int2big(b));
- }
- return r;
- }
- if (TYPE(y) == T_FLOAT) {
- return rb_float_new((double)FIX2LONG(x) + RFLOAT(y)->value);
- }
- return rb_num_coerce_bin(x, y);
-}
-
-static VALUE
-fix_minus(x, y)
- VALUE x, y;
-{
- if (FIXNUM_P(y)) {
- long a, b, c;
- VALUE r;
-
- a = FIX2LONG(x);
- b = FIX2LONG(y);
- c = a - b;
- r = INT2FIX(c);
-
- if (FIX2LONG(r) != c) {
- r = rb_big_minus(rb_int2big(a), rb_int2big(b));
- }
- return r;
- }
- if (TYPE(y) == T_FLOAT) {
- return rb_float_new((double)FIX2LONG(x) - RFLOAT(y)->value);
- }
- return rb_num_coerce_bin(x, y);
-}
-
-static VALUE
-fix_mul(x, y)
- VALUE x, y;
-{
- if (FIXNUM_P(y)) {
- long a, b, c;
- VALUE r;
-
- a = FIX2LONG(x);
- if (a == 0) return x;
-
- b = FIX2LONG(y);
- c = a * b;
- r = INT2FIX(c);
-
- if (FIX2LONG(r) != c || c/a != b) {
- r = rb_big_mul(rb_int2big(a), rb_int2big(b));
- }
- return r;
- }
- if (TYPE(y) == T_FLOAT) {
- return rb_float_new((double)FIX2LONG(x) * RFLOAT(y)->value);
- }
- return rb_num_coerce_bin(x, y);
-}
-
-static void
-fixdivmod(x, y, divp, modp)
- long x, y;
- long *divp, *modp;
-{
- long div, mod;
-
- if (y == 0) rb_num_zerodiv();
- 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;
-}
-
-static VALUE
-fix_div(x, y)
- VALUE x, y;
-{
- if (FIXNUM_P(y)) {
- long div;
-
- fixdivmod(FIX2LONG(x), FIX2LONG(y), &div, 0);
- return INT2NUM(div);
- }
- return rb_num_coerce_bin(x, y);
-}
-
-static VALUE
-fix_mod(x, y)
- VALUE x, y;
-{
- if (FIXNUM_P(y)) {
- long mod;
-
- fixdivmod(FIX2LONG(x), FIX2LONG(y), 0, &mod);
- return INT2NUM(mod);
- }
- return rb_num_coerce_bin(x, y);
-}
-
-static VALUE
-fix_divmod(x, y)
- VALUE x, y;
-{
- if (FIXNUM_P(y)) {
- long div, mod;
-
- fixdivmod(FIX2LONG(x), FIX2LONG(y), &div, &mod);
-
- return rb_assoc_new(INT2NUM(div), INT2NUM(mod));
- }
- return rb_num_coerce_bin(x, y);
-}
-
-static VALUE
-fix_pow(x, y)
- VALUE x, y;
-{
- if (FIXNUM_P(y)) {
- long a, b;
-
- b = FIX2LONG(y);
- if (b == 0) return INT2FIX(1);
- if (b == 1) return x;
- a = FIX2LONG(x);
- if (b > 0) {
- return rb_big_pow(rb_int2big(a), y);
- }
- return rb_float_new(pow((double)a, (double)b));
- }
- return rb_num_coerce_bin(x, y);
-}
-
-static VALUE
-fix_equal(x, y)
- VALUE x, y;
-{
- if (FIXNUM_P(y)) {
- return (FIX2LONG(x) == FIX2LONG(y))?Qtrue:Qfalse;
- }
- else {
- return num_equal(x, y);
- }
-}
-
-static VALUE
-fix_cmp(x, y)
- VALUE x, y;
-{
- if (FIXNUM_P(y)) {
- long a = FIX2LONG(x), b = FIX2LONG(y);
-
- if (a == b) return INT2FIX(0);
- if (a > b) return INT2FIX(1);
- return INT2FIX(-1);
- }
- else {
- return rb_num_coerce_bin(x, y);
- }
-}
-
-static VALUE
-fix_gt(x, y)
- VALUE x, y;
-{
- if (FIXNUM_P(y)) {
- long a = FIX2LONG(x), b = FIX2LONG(y);
-
- if (a > b) return Qtrue;
- return Qfalse;
- }
- else {
- return rb_num_coerce_bin(x, y);
- }
-}
-
-static VALUE
-fix_ge(x, y)
- VALUE x, y;
-{
- if (FIXNUM_P(y)) {
- long a = FIX2LONG(x), b = FIX2LONG(y);
-
- if (a >= b) return Qtrue;
- return Qfalse;
- }
- else {
- return rb_num_coerce_bin(x, y);
- }
-}
-
-static VALUE
-fix_lt(x, y)
- VALUE x, y;
-{
- if (FIXNUM_P(y)) {
- long a = FIX2LONG(x), b = FIX2LONG(y);
-
- if (a < b) return Qtrue;
- return Qfalse;
- }
- else {
- return rb_num_coerce_bin(x, y);
- }
-}
-
-static VALUE
-fix_le(x, y)
- VALUE x, y;
-{
- if (FIXNUM_P(y)) {
- long a = FIX2LONG(x), b = FIX2LONG(y);
-
- if (a <= b) return Qtrue;
- return Qfalse;
- }
- else {
- return rb_num_coerce_bin(x, y);
- }
-}
-
-static VALUE
-fix_rev(num)
- VALUE num;
-{
- long val = FIX2LONG(num);
-
- val = ~val;
- return rb_int2inum(val);
-}
-
-static VALUE
-fix_and(x, y)
- VALUE x, y;
-{
- long val;
-
- if (TYPE(y) == T_BIGNUM) {
- return rb_big_and(y, x);
- }
- val = FIX2LONG(x) & NUM2LONG(y);
- return rb_int2inum(val);
-}
-
-static VALUE
-fix_or(x, y)
- VALUE x, y;
-{
- long val;
-
- if (TYPE(y) == T_BIGNUM) {
- return rb_big_or(y, x);
- }
- val = FIX2LONG(x) | NUM2LONG(y);
- return rb_int2inum(val);
-}
-
-static VALUE
-fix_xor(x, y)
- VALUE x, y;
-{
- long val;
-
- if (TYPE(y) == T_BIGNUM) {
- return rb_big_xor(y, x);
- }
- val = FIX2LONG(x) ^ NUM2LONG(y);
- return rb_int2inum(val);
-}
-
-static VALUE
-fix_lshift(x, y)
- VALUE x, y;
-{
- long val, width;
-
- val = NUM2LONG(x);
- width = NUM2LONG(y);
- if (width > (sizeof(VALUE)*CHAR_BIT-1)
- || ((unsigned long)val)>>(sizeof(VALUE)*CHAR_BIT-1-width) > 0) {
- return rb_big_lshift(rb_int2big(val), y);
- }
- val = val << width;
- return rb_int2inum(val);
-}
-
-static VALUE
-fix_rshift(x, y)
- VALUE x, y;
-{
- long i, val;
-
- i = NUM2LONG(y);
- if (i < 0)
- return fix_lshift(x, INT2FIX(-i));
- if (i == 0) return x;
- if (i >= sizeof(long)*CHAR_BIT-1) {
- if (i < 0) return INT2FIX(-1);
- return INT2FIX(0);
- }
- val = RSHIFT(FIX2LONG(x), i);
- return INT2FIX(val);
-}
-
-static VALUE
-fix_aref(fix, idx)
- VALUE fix, idx;
-{
- long val = FIX2LONG(fix);
-
- if (TYPE(idx) == T_BIGNUM) {
- if (!RBIGNUM(idx)->sign || val >= 0)
- return INT2FIX(0);
- return INT2FIX(1);
- }
- else {
- int i = NUM2INT(idx);
-
- if (i < 0) return INT2FIX(0);
- if (sizeof(VALUE)*CHAR_BIT-1 < i) {
- if (val < 0) return INT2FIX(1);
- return INT2FIX(0);
- }
- if (val & (1L<<i))
- return INT2FIX(1);
- return INT2FIX(0);
- }
-}
-
-static VALUE
-fix_to_f(num)
- VALUE num;
-{
- double val;
-
- val = (double)FIX2LONG(num);
-
- return rb_float_new(val);
-}
-
-static VALUE
-fix_abs(fix)
- VALUE fix;
-{
- long i = FIX2LONG(fix);
-
- if (i < 0) i = -i;
-
- return rb_int2inum(i);
-}
-
-static VALUE
-fix_id2name(fix)
- VALUE fix;
-{
- char *name = rb_id2name(FIX2UINT(fix));
- if (name) return rb_str_new2(name);
- return Qnil;
-}
-
-static VALUE
-fix_succ(fix)
- VALUE fix;
-{
- long i = FIX2LONG(fix) + 1;
-
- return rb_int2inum(i);
-}
-
-static VALUE
-fix_size(fix)
- VALUE fix;
-{
- return INT2FIX(sizeof(long));
-}
-
-static VALUE
-int_upto(from, to)
- VALUE from, to;
-{
- VALUE i = from;
-
- for (;;) {
- if (RTEST(rb_funcall(i, '>', 1, to))) break;
- rb_yield(i);
- i = rb_funcall(i, '+', 1, INT2FIX(1));
- }
- return from;
-}
-
-static VALUE
-int_downto(from, to)
- VALUE from, to;
-{
- VALUE i = from;
-
- for (;;) {
- if (RTEST(rb_funcall(i, '<', 1, to))) break;
- rb_yield(i);
- i = rb_funcall(i, '-', 1, INT2FIX(1));
- }
- return from;
-}
-
-static VALUE
-int_step(from, to, step)
- VALUE from, to, step;
-{
- VALUE i = from;
- ID cmp;
-
- if (NUM2INT(step) == 0) {
- rb_raise(rb_eArgError, "step cannot be 0");
- }
-
- if (RTEST(rb_funcall(step, '>', 1, INT2FIX(0)))) {
- cmp = '>';
- }
- else {
- cmp = '<';
- }
- for (;;) {
- if (RTEST(rb_funcall(i, cmp, 1, to))) break;
- rb_yield(i);
- i = rb_funcall(i, '+', 1, step);
- }
- return from;
-}
-
-static VALUE
-int_dotimes(num)
- VALUE num;
-{
- VALUE i = INT2FIX(0);
-
- for (;;) {
- if (!RTEST(rb_funcall(i, '<', 1, num))) break;
- rb_yield(i);
- i = rb_funcall(i, '+', 1, INT2FIX(1));
- }
- return num;
-}
-
-static VALUE
-fix_upto(from, to)
- VALUE from, to;
-{
- long i, end;
-
- if (!FIXNUM_P(to)) return int_upto(from, to);
- end = FIX2LONG(to);
- for (i = FIX2LONG(from); i <= end; i++) {
- rb_yield(INT2FIX(i));
- }
-
- return from;
-}
-
-VALUE
-rb_fix_upto(from, to)
- VALUE from, to;
-{
- return fix_upto(from, to);
-}
-
-static VALUE
-fix_downto(from, to)
- VALUE from, to;
-{
- long i, end;
-
- if (!FIXNUM_P(to)) return int_downto(from, to);
- end = FIX2LONG(to);
- for (i=FIX2LONG(from); i >= end; i--) {
- rb_yield(INT2FIX(i));
- }
-
- return from;
-}
-
-static VALUE
-fix_step(from, to, step)
- VALUE from, to, step;
-{
- long i, end, diff;
-
- if (!FIXNUM_P(to) || !FIXNUM_P(step))
- return int_step(from, to, step);
-
- i = FIX2LONG(from);
- end = FIX2LONG(to);
- diff = FIX2LONG(step);
-
- if (diff == 0) {
- rb_raise(rb_eArgError, "step cannot be 0");
- }
- if (diff > 0) {
- while (i <= end) {
- rb_yield(INT2FIX(i));
- i += diff;
- }
- }
- else {
- while (i >= end) {
- rb_yield(INT2FIX(i));
- i += diff;
- }
- }
- return from;
-}
-
-static VALUE
-fix_dotimes(num)
- VALUE num;
-{
- long i, end;
-
- end = FIX2LONG(num);
- for (i=0; i<end; i++) {
- rb_yield(INT2FIX(i));
- }
- return num;
-}
-
-static VALUE
-fix_zero_p(num)
- VALUE num;
-{
- if (FIX2LONG(num) == 0) {
- return Qtrue;
- }
- return Qfalse;
-}
-
-void
-Init_Numeric()
-{
-#if defined(__FreeBSD__) && __FreeBSD__ < 4
- /* allow divide by zero -- Inf */
- fpsetmask(fpgetmask() & ~(FP_X_DZ|FP_X_INV|FP_X_OFL));
-#endif
- id_coerce = rb_intern("coerce");
- id_to_i = rb_intern("to_i");
- id_div = rb_intern("div");
-
- rb_eZeroDivError = rb_define_class("ZeroDivisionError", rb_eStandardError);
- rb_eFloatDomainError = rb_define_class("FloatDomainError", rb_eRangeError);
- rb_cNumeric = rb_define_class("Numeric", rb_cObject);
-
- rb_include_module(rb_cNumeric, rb_mComparable);
- rb_define_method(rb_cNumeric, "coerce", num_coerce, 1);
- rb_define_method(rb_cNumeric, "clone", num_clone, 0);
-
- rb_define_method(rb_cNumeric, "+@", num_uplus, 0);
- rb_define_method(rb_cNumeric, "-@", num_uminus, 0);
- rb_define_method(rb_cNumeric, "===", num_equal, 1);
- rb_define_method(rb_cNumeric, "eql?", num_eql, 1);
- rb_define_method(rb_cNumeric, "/", num_div, 1);
- rb_define_method(rb_cNumeric, "divmod", num_divmod, 1);
- rb_define_method(rb_cNumeric, "modulo", num_modulo, 1);
- rb_define_method(rb_cNumeric, "remainder", num_remainder, 1);
- rb_define_method(rb_cNumeric, "abs", num_abs, 0);
-
- rb_define_method(rb_cNumeric, "integer?", num_int_p, 0);
- rb_define_method(rb_cNumeric, "zero?", num_zero_p, 0);
- rb_define_method(rb_cNumeric, "nonzero?", num_nonzero_p, 0);
-
- rb_define_method(rb_cNumeric, "floor", num_floor, 0);
- rb_define_method(rb_cNumeric, "ceil", num_ceil, 0);
- rb_define_method(rb_cNumeric, "round", num_round, 0);
- rb_define_method(rb_cNumeric, "truncate", num_truncate, 0);
-
- rb_cInteger = rb_define_class("Integer", rb_cNumeric);
- rb_undef_method(CLASS_OF(rb_cInteger), "allocate");
- rb_undef_method(CLASS_OF(rb_cInteger), "new");
-
- rb_define_method(rb_cInteger, "integer?", int_int_p, 0);
- rb_define_method(rb_cInteger, "upto", int_upto, 1);
- rb_define_method(rb_cInteger, "downto", int_downto, 1);
- rb_define_method(rb_cInteger, "step", int_step, 2);
- rb_define_method(rb_cInteger, "times", int_dotimes, 0);
- rb_include_module(rb_cInteger, rb_mPrecision);
- rb_define_method(rb_cInteger, "succ", int_succ, 0);
- rb_define_method(rb_cInteger, "next", int_succ, 0);
- rb_define_method(rb_cInteger, "chr", int_chr, 0);
- rb_define_method(rb_cInteger, "to_i", int_to_i, 0);
- rb_define_method(rb_cInteger, "to_int", int_to_i, 0);
- rb_define_method(rb_cInteger, "floor", int_to_i, 0);
- rb_define_method(rb_cInteger, "ceil", int_to_i, 0);
- rb_define_method(rb_cInteger, "round", int_to_i, 0);
- rb_define_method(rb_cInteger, "truncate", int_to_i, 0);
-
- rb_cFixnum = rb_define_class("Fixnum", rb_cInteger);
- rb_include_module(rb_cFixnum, rb_mPrecision);
- rb_define_singleton_method(rb_cFixnum, "induced_from", rb_fix_induced_from, 1);
- rb_define_singleton_method(rb_cInteger, "induced_from", rb_int_induced_from, 1);
-
- rb_define_method(rb_cFixnum, "to_s", fix_to_s, -1);
-
- rb_define_method(rb_cFixnum, "id2name", fix_id2name, 0);
-
- rb_define_method(rb_cFixnum, "-@", fix_uminus, 0);
- rb_define_method(rb_cFixnum, "+", fix_plus, 1);
- rb_define_method(rb_cFixnum, "-", fix_minus, 1);
- rb_define_method(rb_cFixnum, "*", fix_mul, 1);
- rb_define_method(rb_cFixnum, "/", fix_div, 1);
- rb_define_method(rb_cFixnum, "div", fix_div, 1);
- rb_define_method(rb_cFixnum, "%", fix_mod, 1);
- rb_define_method(rb_cFixnum, "modulo", fix_mod, 1);
- rb_define_method(rb_cFixnum, "divmod", fix_divmod, 1);
- rb_define_method(rb_cFixnum, "**", fix_pow, 1);
-
- rb_define_method(rb_cFixnum, "abs", fix_abs, 0);
-
- rb_define_method(rb_cFixnum, "==", fix_equal, 1);
- rb_define_method(rb_cFixnum, "<=>", fix_cmp, 1);
- rb_define_method(rb_cFixnum, ">", fix_gt, 1);
- rb_define_method(rb_cFixnum, ">=", fix_ge, 1);
- rb_define_method(rb_cFixnum, "<", fix_lt, 1);
- rb_define_method(rb_cFixnum, "<=", fix_le, 1);
-
- rb_define_method(rb_cFixnum, "~", fix_rev, 0);
- rb_define_method(rb_cFixnum, "&", fix_and, 1);
- rb_define_method(rb_cFixnum, "|", fix_or, 1);
- rb_define_method(rb_cFixnum, "^", fix_xor, 1);
- rb_define_method(rb_cFixnum, "[]", fix_aref, 1);
-
- rb_define_method(rb_cFixnum, "<<", fix_lshift, 1);
- rb_define_method(rb_cFixnum, ">>", fix_rshift, 1);
-
- rb_define_method(rb_cFixnum, "to_f", fix_to_f, 0);
-
- rb_define_method(rb_cFixnum, "succ", fix_succ, 0);
- rb_define_method(rb_cFixnum, "next", fix_succ, 0);
- rb_define_method(rb_cFixnum, "size", fix_size, 0);
-
- rb_define_method(rb_cFixnum, "upto", fix_upto, 1);
- rb_define_method(rb_cFixnum, "downto", fix_downto, 1);
- rb_define_method(rb_cFixnum, "step", fix_step, 2);
- rb_define_method(rb_cFixnum, "times", fix_dotimes, 0);
- rb_define_method(rb_cFixnum, "zero?", fix_zero_p, 0);
-
- rb_cFloat = rb_define_class("Float", rb_cNumeric);
-
- rb_undef_method(CLASS_OF(rb_cFloat), "allocate");
- rb_undef_method(CLASS_OF(rb_cFloat), "new");
-
- rb_define_singleton_method(rb_cFloat, "induced_from", rb_flo_induced_from, 1);
- rb_include_module(rb_cFloat, rb_mPrecision);
-
- rb_define_method(rb_cFloat, "to_s", flo_to_s, 0);
- rb_define_method(rb_cFloat, "coerce", flo_coerce, 1);
- rb_define_method(rb_cFloat, "-@", flo_uminus, 0);
- rb_define_method(rb_cFloat, "+", flo_plus, 1);
- rb_define_method(rb_cFloat, "-", flo_minus, 1);
- rb_define_method(rb_cFloat, "*", flo_mul, 1);
- rb_define_method(rb_cFloat, "/", flo_div, 1);
- rb_define_method(rb_cFloat, "%", flo_mod, 1);
- rb_define_method(rb_cFloat, "modulo", flo_mod, 1);
- rb_define_method(rb_cFloat, "divmod", flo_divmod, 1);
- rb_define_method(rb_cFloat, "**", flo_pow, 1);
- rb_define_method(rb_cFloat, "==", flo_eq, 1);
- rb_define_method(rb_cFloat, "<=>", flo_cmp, 1);
- rb_define_method(rb_cFloat, ">", flo_gt, 1);
- rb_define_method(rb_cFloat, ">=", flo_ge, 1);
- rb_define_method(rb_cFloat, "<", flo_lt, 1);
- rb_define_method(rb_cFloat, "<=", flo_le, 1);
- rb_define_method(rb_cFloat, "eql?", flo_eql, 1);
- rb_define_method(rb_cFloat, "hash", flo_hash, 0);
- rb_define_method(rb_cFloat, "to_f", flo_to_f, 0);
- rb_define_method(rb_cFloat, "abs", flo_abs, 0);
- rb_define_method(rb_cFloat, "zero?", flo_zero_p, 0);
-
- rb_define_method(rb_cFloat, "to_i", flo_truncate, 0);
- rb_define_method(rb_cFloat, "floor", flo_floor, 0);
- rb_define_method(rb_cFloat, "ceil", flo_ceil, 0);
- rb_define_method(rb_cFloat, "round", flo_round, 0);
- rb_define_method(rb_cFloat, "truncate", flo_truncate, 0);
-
- rb_define_method(rb_cFloat, "nan?", flo_is_nan_p, 0);
- rb_define_method(rb_cFloat, "infinite?", flo_is_infinite_p, 0);
- rb_define_method(rb_cFloat, "finite?", flo_is_finite_p, 0);
-}
-