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ruby/numeric.c

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/**********************************************************************
numeric.c -
$Author$
$Date$
created at: Fri Aug 13 18:33:09 JST 1993
Copyright (C) 1993-2003 Yukihiro Matsumoto
**********************************************************************/
#include "ruby.h"
#include <math.h>
#include <stdio.h>
#if defined(__FreeBSD__) && __FreeBSD__ < 4
#include <floatingpoint.h>
#endif
#ifdef HAVE_FLOAT_H
#include <float.h>
#endif
/* use IEEE 64bit values if not defined */
#ifndef FLT_RADIX
#define FLT_RADIX 2
#endif
#ifndef FLT_ROUNDS
#define FLT_ROUNDS 1
#endif
#ifndef DBL_MIN
#define DBL_MIN 2.2250738585072014e-308
#endif
#ifndef DBL_MAX
#define DBL_MAX 1.7976931348623157e+308
#endif
#ifndef DBL_MIN_EXP
#define DBL_MIN_EXP (-1021)
#endif
#ifndef DBL_MAX_EXP
#define DBL_MAX_EXP 1024
#endif
#ifndef DBL_MIN_10_EXP
#define DBL_MIN_10_EXP (-307)
#endif
#ifndef DBL_MAX_10_EXP
#define DBL_MAX_10_EXP 308
#endif
#ifndef DBL_DIG
#define DBL_DIG 15
#endif
#ifndef DBL_MANT_DIG
#define DBL_MANT_DIG 53
#endif
#ifndef DBL_EPSILON
#define DBL_EPSILON 2.2204460492503131e-16
#endif
static ID id_coerce, id_to_i;
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;
{
volatile VALUE v = rb_inspect(x[1]);
rb_raise(rb_eTypeError, "%s can't be coerced into %s",
rb_special_const_p(x[1])?
RSTRING(v)->ptr:
rb_obj_classname(x[1]),
rb_obj_classname(x[0]));
return Qnil; /* dummy */
}
static int
do_coerce(x, y, err)
VALUE *x, *y;
int err;
{
VALUE ary;
VALUE a[2];
a[0] = *x; a[1] = *y;
ary = rb_rescue(coerce_body, (VALUE)a, err?coerce_rescue:0, (VALUE)a);
if (TYPE(ary) != T_ARRAY || RARRAY(ary)->len != 2) {
if (err) {
rb_raise(rb_eTypeError, "coerce must return [x, y]");
}
return Qfalse;
}
*x = RARRAY(ary)->ptr[0];
*y = RARRAY(ary)->ptr[1];
return Qtrue;
}
VALUE
rb_num_coerce_bin(x, y)
VALUE x, y;
{
do_coerce(&x, &y, Qtrue);
return rb_funcall(x, rb_frame_last_func(), 1, y);
}
VALUE
rb_num_coerce_cmp(x, y)
VALUE x, y;
{
if (do_coerce(&x, &y, Qfalse))
return rb_funcall(x, rb_frame_last_func(), 1, y);
return Qnil;
}
static VALUE
num_copy_object(x, y)
VALUE x, y;
{
/* Numerics are immutable values, which should not be copied */
rb_raise(rb_eTypeError, "can't copy %s", rb_obj_classname(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, Qtrue);
return rb_funcall(zero, '-', 1, num);
}
static VALUE
num_quo(x, y)
VALUE x, y;
{
return rb_funcall(x, '/', 1, y);
}
static VALUE
num_div(x, y)
VALUE x, y;
{
return rb_Integer(rb_funcall(x, '/', 1, y));
}
static VALUE
num_divmod(x, y)
VALUE x, y;
{
return rb_assoc_new(num_div(x, y), rb_funcall(x, '%', 1, y));
}
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 ((!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 (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;
}
static VALUE
num_to_int(num)
VALUE num;
{
return rb_funcall(num, id_to_i, 0, 0);
}
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 = "%.15g";
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 >= 1.0e15) {
d1 = avalue;
while (d1 > 10.0) d1 /= 10.0;
d1 = modf(d1, &d2);
if (d1 == 0) fmt = "%.1e";
else fmt = "%.16e";
}
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_cmp(x, y)
VALUE x, y;
{
if (x == y) return INT2FIX(0);
return Qnil;
}
static VALUE
num_equal(x, y)
VALUE x, y;
{
return rb_equal(y, x);
}
static VALUE
flo_eq(x, y)
VALUE x, y;
{
double a, b;
switch (TYPE(y)) {
case T_FIXNUM:
b = FIX2LONG(y);
break;
case T_BIGNUM:
b = rb_big2dbl(y);
break;
case T_FLOAT:
b = RFLOAT(y)->value;
break;
default:
return num_equal(x, y);
}
a = RFLOAT(x)->value;
if (isnan(a) || isnan(b)) return Qfalse;
return (a == b)?Qtrue:Qfalse;
}
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);
}
VALUE
rb_dbl_cmp(a, b)
double a, b;
{
if (isnan(a) || isnan(b)) return Qnil;
if (a == b) return INT2FIX(0);
if (a > b) return INT2FIX(1);
if (a < b) return INT2FIX(-1);
return Qnil;
}
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_cmp(x, y);
}
return rb_dbl_cmp(a, b);
}
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_cmp(x, y);
}
if (isnan(a) || isnan(b)) return Qfalse;
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_cmp(x, y);
}
if (isnan(a) || isnan(b)) return Qfalse;
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_cmp(x, y);
}
if (isnan(a) || isnan(b)) return Qfalse;
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_cmp(x, y);
}
if (isnan(a) || isnan(b)) return Qfalse;
return (a <= b)?Qtrue:Qfalse;
}
static VALUE
flo_eql(x, y)
VALUE x, y;
{
if (TYPE(y) == T_FLOAT) {
double a = RFLOAT(x)->value;
double b = RFLOAT(y)->value;
if (isnan(a) || isnan(b)) return Qfalse;
if (a == b) 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 HAVE_FINITE
if (!finite(value))
return Qfalse;
#else
if (isinf(value) || isnan(value))
return Qfalse;
#endif
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 LONG2FIX(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 LONG2FIX(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 LONG2FIX(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 LONG2FIX(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));
}
static VALUE
num_step(argc, argv, from)
int argc;
VALUE *argv;
VALUE from;
{
VALUE to, step;
if (argc == 1) {
to = argv[0];
step = INT2FIX(1);
}
else {
if (argc == 2) {
to = argv[0];
step = argv[1];
}
else {
rb_raise(rb_eArgError, "wrong number of arguments");
}
if (rb_equal(step, INT2FIX(0))) {
rb_raise(rb_eArgError, "step cannot be 0");
}
}
if (FIXNUM_P(from) && FIXNUM_P(to) && FIXNUM_P(step)) {
long i, end, diff;
i = FIX2LONG(from);
end = FIX2LONG(to);
diff = FIX2LONG(step);
if (diff > 0) {
while (i <= end) {
rb_yield(LONG2FIX(i));
i += diff;
}
}
else {
while (i >= end) {
rb_yield(LONG2FIX(i));
i += diff;
}
}
}
else if (TYPE(from) == T_FLOAT || TYPE(to) == T_FLOAT || TYPE(step) == T_FLOAT) {
const double epsilon = DBL_EPSILON * 2;
double beg = NUM2DBL(from);
double end = NUM2DBL(to);
double unit = NUM2DBL(step);
double n = (end - beg)/unit;
long i;
n = floor(n + n*epsilon) + 1;
for (i=0; i<n; i++) {
rb_yield(rb_float_new(i*unit+beg));
}
}
else {
VALUE i = from;
ID cmp;
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;
}
long
rb_num2long(val)
VALUE val;
{
if (NIL_P(val)) {
rb_raise(rb_eTypeError, "no implicit conversion from nil to integer");
}
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_SYMBOL:
rb_warning("treating Symbol as an integer");
/* fall through */
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 %ld 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 %ld 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 %ld out of range of fixnum", v);
return LONG2FIX(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;
{
if (FIXNUM_P(num)) {
long i = FIX2LONG(num) + 1;
return LONG2NUM(i);
}
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, "%ld 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, id_to_i, 0);
default:
rb_raise(rb_eTypeError, "failed to convert %s into Integer",
rb_obj_classname(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_obj_classname(x));
}
}
static VALUE
fix_uminus(num)
VALUE num;
{
return LONG2NUM(-FIX2LONG(num));
}
VALUE
rb_fix2str(x, base)
VALUE x;
int base;
{
extern const char ruby_digitmap[];
char buf[SIZEOF_LONG*CHAR_BIT + 2], *b = buf + sizeof buf;
long val = FIX2LONG(x);
int neg = 0;
if (base < 2 || 36 < base) {
rb_raise(rb_eArgError, "illegal radix %d", base);
}
if (val == 0) {
return rb_str_new2("0");
}
if (val < 0) {
val = -val;
neg = 1;
}
*--b = '\0';
do {
*--b = ruby_digitmap[(int)(val % base)];
} while (val /= base);
if (neg) {
*--b = '-';
}
return rb_str_new2(b);
}
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 = LONG2FIX(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 = LONG2FIX(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 = LONG2FIX(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_quo(x, y)
VALUE x, y;
{
if (FIXNUM_P(y)) {
return rb_float_new((double)FIX2LONG(x) / (double)FIX2LONG(y));
}
return rb_num_coerce_bin(x, y);
}
static VALUE
fix_div(x, y)
VALUE x, y;
{
if (FIXNUM_P(y)) {
long div;
fixdivmod(FIX2LONG(x), FIX2LONG(y), &div, 0);
return LONG2NUM(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 LONG2NUM(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(LONG2NUM(div), LONG2NUM(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_cmp(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_cmp(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_cmp(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_cmp(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_cmp(x, y);
}
}
static VALUE
fix_rev(num)
VALUE num;
{
long val = FIX2LONG(num);
val = ~val;
return LONG2NUM(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 LONG2NUM(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 LONG2NUM(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 LONG2NUM(val);
}
static VALUE fix_rshift _((VALUE, VALUE));
static VALUE
fix_lshift(x, y)
VALUE x, y;
{
long val, width;
val = NUM2LONG(x);
width = NUM2LONG(y);
if (width < 0)
return fix_rshift(x, LONG2FIX(-width));
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 LONG2NUM(val);
}
static VALUE
fix_rshift(x, y)
VALUE x, y;
{
long i, val;
i = NUM2LONG(y);
if (i < 0)
return fix_lshift(x, LONG2FIX(-i));
if (i == 0) return x;
val = FIX2LONG(x);
if (i >= sizeof(long)*CHAR_BIT-1) {
if (val < 0) return INT2FIX(-1);
return INT2FIX(0);
}
val = RSHIFT(val, i);
return LONG2FIX(val);
}
static VALUE
fix_aref(fix, idx)
VALUE fix, idx;
{
long val = FIX2LONG(fix);
long i;
if (TYPE(idx) == T_BIGNUM) {
idx = rb_big_norm(idx);
if (!FIXNUM_P(idx)) {
if (!RBIGNUM(idx)->sign || val >= 0)
return INT2FIX(0);
return INT2FIX(1);
}
}
i = NUM2LONG(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 LONG2NUM(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_to_sym(fix)
VALUE fix;
{
ID id = FIX2UINT(fix);
if (rb_id2name(id)) {
return ID2SYM(id);
}
return Qnil;
}
static VALUE
fix_size(fix)
VALUE fix;
{
return INT2FIX(sizeof(long));
}
static VALUE
int_upto(from, to)
VALUE from, to;
{
if (FIXNUM_P(from) && FIXNUM_P(to)) {
long i, end;
end = FIX2LONG(to);
for (i = FIX2LONG(from); i <= end; i++) {
rb_yield(LONG2FIX(i));
}
}
else {
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;
{
if (FIXNUM_P(from) && FIXNUM_P(to)) {
long i, end;
end = FIX2LONG(to);
for (i=FIX2LONG(from); i >= end; i--) {
rb_yield(LONG2FIX(i));
}
}
else {
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_dotimes(num)
VALUE num;
{
if (FIXNUM_P(num)) {
long i, end;
end = FIX2LONG(num);
for (i=0; i<end; i++) {
rb_yield(LONG2FIX(i));
}
}
else {
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_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");
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, "copy_object", num_copy_object, 1);
rb_define_method(rb_cNumeric, "coerce", num_coerce, 1);
rb_define_method(rb_cNumeric, "+@", num_uplus, 0);
rb_define_method(rb_cNumeric, "-@", num_uminus, 0);
rb_define_method(rb_cNumeric, "<=>", num_cmp, 1);
rb_define_method(rb_cNumeric, "eql?", num_eql, 1);
rb_define_method(rb_cNumeric, "quo", num_quo, 1);
rb_define_method(rb_cNumeric, "div", 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, "to_int", num_to_int, 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_define_method(rb_cNumeric, "step", num_step, -1);
rb_cInteger = rb_define_class("Integer", rb_cNumeric);
rb_undef_alloc_func(rb_cInteger);
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, "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, "to_sym", fix_to_sym, 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, "quo", fix_quo, 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, "size", fix_size, 0);
rb_define_method(rb_cFixnum, "zero?", fix_zero_p, 0);
rb_cFloat = rb_define_class("Float", rb_cNumeric);
rb_undef_alloc_func(rb_cFloat);
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_const(rb_cFloat, "ROUNDS", INT2FIX(FLT_ROUNDS));
rb_define_const(rb_cFloat, "RADIX", INT2FIX(FLT_RADIX));
rb_define_const(rb_cFloat, "MANT_DIG", INT2FIX(DBL_MANT_DIG));
rb_define_const(rb_cFloat, "DIG", INT2FIX(DBL_DIG));
rb_define_const(rb_cFloat, "MIN_EXP", INT2FIX(DBL_MIN_EXP));
rb_define_const(rb_cFloat, "MAX_EXP", INT2FIX(DBL_MAX_EXP));
rb_define_const(rb_cFloat, "MIN_10_EXP", INT2FIX(DBL_MIN_10_EXP));
rb_define_const(rb_cFloat, "MAX_10_EXP", INT2FIX(DBL_MAX_10_EXP));
rb_define_const(rb_cFloat, "MIN", rb_float_new(DBL_MIN));
rb_define_const(rb_cFloat, "MAX", rb_float_new(DBL_MAX));
rb_define_const(rb_cFloat, "EPSILON", rb_float_new(DBL_EPSILON));
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, "to_int", 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);
}
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