mirror of
https://github.com/mruby/mruby
synced 2026-06-08 16:11:16 +00:00
2019 lines
47 KiB
C
2019 lines
47 KiB
C
/**********************************************************************
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numeric.c -
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$Author: yugui $
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created at: Fri Aug 13 18:33:09 JST 1993
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Copyright (C) 1993-2007 Yukihiro Matsumoto
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**********************************************************************/
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#include "mruby.h"
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#include "mruby/numeric.h"
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#include "mruby/string.h"
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#include "mruby/array.h"
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#include <string.h>
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#include "mruby/class.h"
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#include "variable.h"
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#include <ctype.h>
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#include <math.h>
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#include <stdio.h>
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#ifdef INCLUDE_REGEXP
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#include "encoding.h"
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#endif
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#if defined(__FreeBSD__) && __FreeBSD__ < 4
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#include <floatingpoint.h>
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#endif
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#ifdef HAVE_FLOAT_H
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#include <float.h>
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#endif
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#ifdef HAVE_IEEEFP_H
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#include <ieeefp.h>
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#endif
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#ifndef mrb_usascii_str_new2
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#ifdef INCLUDE_REGEXP
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#define mrb_usascii_str_new2 mrb_usascii_str_new_cstr
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#else
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#define mrb_usascii_str_new2 mrb_str_new_cstr
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#endif
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#endif
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#ifndef mrb_usascii_str_new2
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#ifdef INCLUDE_REGEXP
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#else
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#define mrb_usascii_str_new mrb_str_new
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#endif
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#endif
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/* use IEEE 64bit values if not defined */
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#ifndef FLT_RADIX
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#define FLT_RADIX 2
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#endif
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#ifndef FLT_ROUNDS
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#define FLT_ROUNDS 1
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#endif
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#ifndef DBL_MIN
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#define DBL_MIN 2.2250738585072014e-308
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#endif
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#ifndef DBL_MAX
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#define DBL_MAX 1.7976931348623157e+308
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#endif
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#ifndef DBL_MIN_EXP
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#define DBL_MIN_EXP (-1021)
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#endif
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#ifndef DBL_MAX_EXP
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#define DBL_MAX_EXP 1024
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#endif
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#ifndef DBL_MIN_10_EXP
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#define DBL_MIN_10_EXP (-307)
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#endif
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#ifndef DBL_MAX_10_EXP
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#define DBL_MAX_10_EXP 308
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#endif
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#ifndef DBL_DIG
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#define DBL_DIG 15
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#endif
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#ifndef DBL_MANT_DIG
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#define DBL_MANT_DIG 53
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#endif
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#ifndef DBL_EPSILON
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#define DBL_EPSILON 2.2204460492503131e-16
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#endif
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#define mrb_rational_raw1(x) mrb_rational_raw(x, INT2FIX(1))
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#if SIZEOF_LONG_LONG > 0
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# define LONG_LONG long long
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#elif SIZEOF___INT64 > 0
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# define HAVE_LONG_LONG 1
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# define LONG_LONG __int64
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# undef SIZEOF_LONG_LONG
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# define SIZEOF_LONG_LONG SIZEOF___INT64
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#endif
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#if defined HAVE_UINTPTR_T && 0
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typedef uintptr_t VALUE;
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typedef uintptr_t ID;
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# define SIGNED_VALUE intptr_t
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# define SIZEOF_VALUE SIZEOF_UINTPTR_T
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#elif SIZEOF_LONG == SIZEOF_VOIDP
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//typedef unsigned long VALUE;
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//typedef unsigned long ID;
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# define SIGNED_VALUE long long
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# define SIZEOF_VALUE SIZEOF_LONG
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#elif SIZEOF_LONG_LONG == SIZEOF_VOIDP
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typedef unsigned LONG_LONG VALUE;
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typedef unsigned LONG_LONG ID;
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# define SIGNED_VALUE LONG_LONG
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# define LONG_LONG_VALUE 1
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# define SIZEOF_VALUE SIZEOF_LONG_LONG
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#else
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# error ---->> ruby requires sizeof(void*) == sizeof(long) to be compiled. <<----
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#endif
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#ifdef HAVE_INFINITY
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#elif BYTE_ORDER == LITTLE_ENDIAN
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const unsigned char mrb_infinity[] = "\x00\x00\x80\x7f";
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#else
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const unsigned char mrb_infinity[] = "\x7f\x80\x00\x00";
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#endif
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#ifdef HAVE_NAN
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#elif BYTE_ORDER == LITTLE_ENDIAN
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const unsigned char mrb_nan[] = "\x00\x00\xc0\x7f";
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#else
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const unsigned char mrb_nan[] = "\x7f\xc0\x00\x00";
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#endif
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extern double round(double);
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#ifndef HAVE_ROUND
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double
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round(double x)
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{
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double f;
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if (x > 0.0) {
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f = floor(x);
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x = f + (x - f >= 0.5);
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}
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else if (x < 0.0) {
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f = ceil(x);
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x = f - (f - x >= 0.5);
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}
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return x;
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}
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#endif
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void mrb_cmperr(mrb_state *mrb, mrb_value x, mrb_value y);
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void
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mrb_num_zerodiv(mrb_state *mrb)
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{
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mrb_raise(mrb, E_ZERODIVISION_ERROR, "divided by 0");
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}
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/*
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* call-seq:
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* num.coerce(numeric) -> array
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*
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* If <i>aNumeric</i> is the same type as <i>num</i>, returns an array
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* containing <i>aNumeric</i> and <i>num</i>. Otherwise, returns an
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* array with both <i>aNumeric</i> and <i>num</i> represented as
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* <code>Float</code> objects. This coercion mechanism is used by
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* Ruby to handle mixed-type numeric operations: it is intended to
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* find a compatible common type between the two operands of the operator.
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*
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* 1.coerce(2.5) #=> [2.5, 1.0]
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* 1.2.coerce(3) #=> [3.0, 1.2]
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* 1.coerce(2) #=> [2, 1]
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*/
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static mrb_value
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num_coerce(mrb_state *mrb, mrb_value x)
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{
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mrb_value y;
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mrb_get_args(mrb, "o", &y);
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//if (CLASS_OF(x) == CLASS_OF(y))
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if (mrb_class(mrb, x) == mrb_class(mrb, y))
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return mrb_assoc_new(mrb, y, x);
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x = mrb_Float(mrb, x);
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y = mrb_Float(mrb, y);
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return mrb_assoc_new(mrb, y, x);
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}
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static mrb_value
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coerce_body(mrb_state *mrb, mrb_value *x)
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{
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return mrb_funcall(mrb, x[1], "coerce", 1, x[0]);
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}
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static mrb_value
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coerce_rescue(mrb_state *mrb, mrb_value *x)
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{
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volatile mrb_value v = mrb_inspect(mrb, x[1]);
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mrb_raise(mrb, E_TYPE_ERROR, "%s can't be coerced into %s",
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mrb_special_const_p(x[1])?
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RSTRING_PTR(v):
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mrb_obj_classname(mrb, x[1]),
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mrb_obj_classname(mrb, x[0]));
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return mrb_nil_value(); /* dummy */
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}
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static int
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do_coerce(mrb_state *mrb, mrb_value *x, mrb_value *y, int err)
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{
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mrb_value ary;
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mrb_value a[2];
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a[0] = *x; a[1] = *y;
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ary = coerce_body(mrb, a);
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if (mrb_type(ary) != MRB_TT_ARRAY || RARRAY_LEN(ary) != 2) {
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if (err) {
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mrb_raise(mrb, E_TYPE_ERROR, "coerce must return [x, y]");
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}
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return FALSE;
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}
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*x = RARRAY_PTR(ary)[0];
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*y = RARRAY_PTR(ary)[1];
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return TRUE;
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}
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mrb_value
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mrb_num_coerce_bin(mrb_state *mrb, mrb_value x, mrb_value y, char* func)
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{
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do_coerce(mrb, &x, &y, TRUE);
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return mrb_funcall(mrb, x, func, 1, y);
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}
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mrb_value
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mrb_num_coerce_cmp(mrb_state *mrb, mrb_value x, mrb_value y, char* func)
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{
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if (do_coerce(mrb, &x, &y, FALSE))
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return mrb_funcall(mrb, x, func, 1, y);
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return mrb_nil_value();
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}
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mrb_value
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mrb_num_coerce_relop(mrb_state *mrb, mrb_value x, mrb_value y, char* func)
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{
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mrb_value c, x0 = x, y0 = y;
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if (!do_coerce(mrb, &x, &y, FALSE) ||
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mrb_nil_p(c = mrb_funcall(mrb, x, func, 1, y))) {
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mrb_cmperr(mrb, x0, y0);
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return mrb_nil_value(); /* not reached */
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}
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return c;
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}
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/*
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* call-seq:
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* +num -> num
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*
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* Unary Plus---Returns the receiver's value.
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*/
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static mrb_value
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num_uplus(mrb_state *mrb, mrb_value num)
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{
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return num;
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}
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/*
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* call-seq:
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* -num -> numeric
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*
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* Unary Minus---Returns the receiver's value, negated.
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*/
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static mrb_value
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num_uminus(mrb_state *mrb, mrb_value num)
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{
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mrb_value zero;
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zero = mrb_fixnum_value(0);
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do_coerce(mrb, &zero, &num, TRUE);
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return mrb_funcall(mrb, zero, "-", 1, num);
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}
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/*
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* call-seq:
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* num.quo(numeric) -> real
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*
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* Returns most exact division (rational for integers, float for floats).
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*/
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static mrb_value
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num_quo(mrb_state *mrb, mrb_value x)
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{
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mrb_value y;
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mrb_get_args(mrb, "o", &y);
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return mrb_funcall(mrb, mrb_float_value((double)mrb_fixnum(x)), "/", 1, y);
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}
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/*
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* call-seq:
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* num.abs -> numeric
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* num.magnitude -> numeric
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*
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* Returns the absolute value of <i>num</i>.
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*
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* 12.abs #=> 12
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* (-34.56).abs #=> 34.56
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* -34.56.abs #=> 34.56
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*/
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static mrb_value
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num_abs(mrb_state *mrb, mrb_value num)
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{
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if (mrb_test(mrb_funcall(mrb, num, "<", 1, mrb_fixnum_value(0)))) {
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return mrb_funcall(mrb, num, "-@", 0);
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}
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return num;
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}
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/********************************************************************
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*
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* Document-class: Float
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*
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* <code>Float</code> objects represent inexact real numbers using
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* the native architecture's double-precision floating point
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* representation.
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*/
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mrb_value
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mrb_float_new(double d)
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{
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//NEWOBJ(flt, struct RFloat);
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//OBJSETUP(flt, mrb_cFloat, MRB_TT_FLOAT);
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//flt->float_value = d;
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//return (mrb_value)flt;
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return mrb_float_value(d);
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}
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/* 15.2.9.3.16(x) */
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/*
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* call-seq:
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* flt.to_s -> string
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*
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* Returns a string containing a representation of self. As well as a
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* fixed or exponential form of the number, the call may return
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* ``<code>NaN</code>'', ``<code>Infinity</code>'', and
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* ``<code>-Infinity</code>''.
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*/
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static mrb_value
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flo_to_s(mrb_state *mrb, mrb_value flt)
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{
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char buf[32];
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double value = mrb_float(flt);
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char *p, *e;
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if (isinf(value))
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return mrb_str_new2(mrb, value < 0 ? "-Infinity" : "Infinity");
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else if(isnan(value))
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return mrb_str_new2(mrb, "NaN");
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sprintf(buf, "%#.15g", value); /* ensure to print decimal point */
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if (!(e = strchr(buf, 'e'))) {
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e = buf + strlen(buf);
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}
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if (!ISDIGIT(e[-1])) { /* reformat if ended with decimal point (ex 111111111111111.) */
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sprintf(buf, "%#.14e", value);
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if (!(e = strchr(buf, 'e'))) {
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e = buf + strlen(buf);
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}
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}
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p = e;
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while (p[-1]=='0' && ISDIGIT(p[-2]))
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p--;
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memmove(p, e, strlen(e)+1);
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return mrb_str_new2(mrb, buf);
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}
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/* 15.2.9.3.2 */
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/*
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* call-seq:
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* float - other -> float
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*
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* Returns a new float which is the difference of <code>float</code>
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* and <code>other</code>.
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*/
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static mrb_value
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flo_minus(mrb_state *mrb, mrb_value x)
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{
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mrb_value y;
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mrb_get_args(mrb, "o", &y);
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switch (mrb_type(y)) {
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case MRB_TT_FIXNUM:
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return mrb_float_value(mrb_float(x) - (double)mrb_fixnum(y));
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case MRB_TT_FLOAT:
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return mrb_float_value(mrb_float(x) - mrb_float(y));
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default:
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return mrb_num_coerce_bin(mrb, x, y, "-");
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}
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}
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/* 15.2.9.3.3 */
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/*
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* call-seq:
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* float * other -> float
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*
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* Returns a new float which is the product of <code>float</code>
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* and <code>other</code>.
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*/
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static mrb_value
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flo_mul(mrb_state *mrb, mrb_value x)
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{
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mrb_value y;
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mrb_get_args(mrb, "o", &y);
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switch (mrb_type(y)) {
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case MRB_TT_FIXNUM:
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return mrb_float_value(mrb_float(x) * (double)mrb_fixnum(y));
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case MRB_TT_FLOAT:
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return mrb_float_value(mrb_float(x) * mrb_float(y));
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default:
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return mrb_num_coerce_bin(mrb, x, y, "*");
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}
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}
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/* 15.2.9.3.4 */
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/*
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* call-seq:
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* float / other -> float
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*
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* Returns a new float which is the result of dividing
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* <code>float</code> by <code>other</code>.
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*/
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static mrb_value
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flo_div(mrb_state *mrb, mrb_value x)
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{
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mrb_value y;
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long f_y;
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//double d;
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mrb_get_args(mrb, "o", &y);
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switch (mrb_type(y)) {
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case MRB_TT_FIXNUM:
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f_y = mrb_fixnum(y);
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return mrb_float_value(mrb_float(x) / (double)f_y);
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case MRB_TT_FLOAT:
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return mrb_float_value(mrb_float(x) / mrb_float(y));
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default:
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return mrb_num_coerce_bin(mrb, x, y, "/");
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}
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}
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/*
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* call-seq:
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* float.quo(numeric) -> float
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*
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* Returns float / numeric.
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*/
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static mrb_value
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flo_quo(mrb_state *mrb, mrb_value x)
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{
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mrb_value y;
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mrb_get_args(mrb, "o", &y);
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return mrb_funcall(mrb, x, "/", 1, y);
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}
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static void
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flodivmod(mrb_state *mrb, double x, double y, double *divp, double *modp)
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{
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double div, mod;
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if (y == 0.0) mrb_num_zerodiv(mrb);
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#ifdef HAVE_FMOD
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mod = fmod(x, y);
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#else
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{
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double z;
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modf(x/y, &z);
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mod = x - z * y;
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}
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#endif
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if (isinf(x) && !isinf(y) && !isnan(y))
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div = x;
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else
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div = (x - mod) / y;
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if (y*mod < 0) {
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mod += y;
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div -= 1.0;
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}
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if (modp) *modp = mod;
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if (divp) *divp = div;
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}
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/* 15.2.9.3.5 */
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/*
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* call-seq:
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* flt % other -> float
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* flt.modulo(other) -> float
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*
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* Return the modulo after division of <code>flt</code> by <code>other</code>.
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*
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* 6543.21.modulo(137) #=> 104.21
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* 6543.21.modulo(137.24) #=> 92.9299999999996
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*/
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static mrb_value
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flo_mod(mrb_state *mrb, mrb_value x)
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{
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mrb_value y;
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double fy, mod;
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|
mrb_get_args(mrb, "o", &y);
|
|
|
|
switch (mrb_type(y)) {
|
|
case MRB_TT_FIXNUM:
|
|
fy = (double)mrb_fixnum(y);
|
|
break;
|
|
case MRB_TT_FLOAT:
|
|
fy = mrb_float(y);
|
|
break;
|
|
default:
|
|
return mrb_num_coerce_bin(mrb, x, y, "%");
|
|
}
|
|
flodivmod(mrb, mrb_float(x), fy, 0, &mod);
|
|
return mrb_float_value(mod);
|
|
}
|
|
|
|
static mrb_value
|
|
dbl2ival(double d)
|
|
{
|
|
if (FIXABLE(d)) {
|
|
d = round(d);
|
|
return mrb_fixnum_value((long)d);
|
|
}
|
|
return mrb_nil_value(); /* range over */ //mrb_dbl2big(d);
|
|
}
|
|
|
|
|
|
/* 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
|
|
num_eql(mrb_state *mrb, mrb_value x)
|
|
{
|
|
mrb_value y;
|
|
mrb_get_args(mrb, "o", &y);
|
|
if (mrb_type(x) != mrb_type(y)) return mrb_false_value();
|
|
if (mrb_equal(mrb, x, y)) {
|
|
return mrb_true_value();
|
|
}
|
|
else {
|
|
return mrb_false_value();
|
|
}
|
|
}
|
|
|
|
static mrb_value
|
|
num_equal(mrb_state *mrb, mrb_value x, mrb_value y)
|
|
{
|
|
if (mrb_obj_equal(mrb, x, y)) return mrb_true_value();
|
|
return mrb_funcall(mrb, y, "==", 1, x);
|
|
}
|
|
|
|
/* 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;
|
|
volatile double a, b;
|
|
mrb_get_args(mrb, "o", &y);
|
|
|
|
switch (mrb_type(y)) {
|
|
case MRB_TT_FIXNUM:
|
|
b = (double)mrb_fixnum(y);
|
|
break;
|
|
case MRB_TT_FLOAT:
|
|
b = mrb_float(y);
|
|
#if defined(_MSC_VER) && _MSC_VER < 1300
|
|
if (isnan(b)) return mrb_false_value();
|
|
#endif
|
|
break;
|
|
default:
|
|
return num_equal(mrb, x, y);
|
|
}
|
|
a = mrb_float(x);
|
|
#if defined(_MSC_VER) && _MSC_VER < 1300
|
|
if (isnan(a)) return mrb_false_value();
|
|
#endif
|
|
return (a == b)?mrb_true_value():mrb_false_value();
|
|
}
|
|
|
|
/* 15.2.8.3.18 */
|
|
/*
|
|
* call-seq:
|
|
* flt.hash -> integer
|
|
*
|
|
* Returns a hash code for this float.
|
|
*/
|
|
static mrb_value
|
|
flo_hash(mrb_state *mrb, mrb_value num)
|
|
{
|
|
double d;
|
|
char *c;
|
|
int i, hash;
|
|
|
|
d = (double)mrb_fixnum(num);
|
|
if (d == 0) d = fabs(d);
|
|
c = (char*)&d;
|
|
for (hash=0, i=0; i<sizeof(double);i++) {
|
|
hash = (hash * 971) ^ (unsigned char)c[i];
|
|
}
|
|
if (hash < 0) hash = -hash;
|
|
return mrb_fixnum_value(hash);
|
|
}
|
|
|
|
mrb_value
|
|
mrb_dbl_cmp(double a, double b)
|
|
{
|
|
if (isnan(a) || isnan(b)) return mrb_nil_value();
|
|
if (a == b) return mrb_fixnum_value(0);
|
|
if (a > b) return mrb_fixnum_value(1);
|
|
if (a < b) return mrb_fixnum_value(-1);
|
|
return mrb_nil_value();
|
|
}
|
|
|
|
/* 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_is_infinite_p(mrb_state *mrb, mrb_value num)
|
|
{
|
|
double 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_is_finite_p(mrb_state *mrb, mrb_value num)
|
|
{
|
|
double value = mrb_float(num);
|
|
|
|
#if HAVE_FINITE
|
|
if (!finite(value))
|
|
return mrb_false_value();
|
|
#else
|
|
if (isinf(value) || isnan(value))
|
|
return mrb_false_value();
|
|
#endif
|
|
|
|
return mrb_true_value();
|
|
}
|
|
|
|
/* 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)
|
|
{
|
|
double f = floor(mrb_float(num));
|
|
long val;
|
|
|
|
if (!FIXABLE(f)) {
|
|
return mrb_dbl2big(mrb, f);
|
|
}
|
|
val = (long)f;
|
|
return mrb_fixnum_value(val);
|
|
}
|
|
|
|
/* 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)
|
|
{
|
|
double f = ceil(mrb_float(num));
|
|
long val;
|
|
|
|
if (!FIXABLE(f)) {
|
|
return mrb_dbl2big(mrb, f);
|
|
}
|
|
val = (long)f;
|
|
return mrb_fixnum_value(val);
|
|
}
|
|
|
|
/* 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, /*int argc, mrb_value *argv,*/ mrb_value num)
|
|
{
|
|
mrb_value nd;
|
|
double number, f;
|
|
int ndigits = 0, i;
|
|
long val;
|
|
mrb_value *argv;
|
|
int argc;
|
|
|
|
mrb_get_args(mrb, "*", &argv, &argc);
|
|
|
|
if (argc /*> 0 && mrb_scan_args(argc, argv, "01", &nd) */== 1) {
|
|
nd = argv[0];
|
|
ndigits = mrb_fixnum(nd);
|
|
}
|
|
number = mrb_float(num);
|
|
f = 1.0;
|
|
i = abs(ndigits);
|
|
while (--i >= 0)
|
|
f = f*10.0;
|
|
|
|
if (isinf(f)) {
|
|
if (ndigits < 0) number = 0;
|
|
}
|
|
else {
|
|
if (ndigits < 0) number /= f;
|
|
else number *= f;
|
|
number = round(number);
|
|
if (ndigits < 0) number *= f;
|
|
else number /= f;
|
|
}
|
|
|
|
if (ndigits > 0) return mrb_float_value(number);
|
|
|
|
if (!FIXABLE(number)) {
|
|
return mrb_dbl2big(mrb, number);
|
|
}
|
|
val = (long)number;
|
|
return mrb_fixnum_value(val);
|
|
}
|
|
|
|
/* 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)
|
|
{
|
|
double f = mrb_float(num);
|
|
long val;
|
|
|
|
if (f > 0.0) f = floor(f);
|
|
if (f < 0.0) f = ceil(f);
|
|
|
|
if (!FIXABLE(f)) {
|
|
return mrb_dbl2big(mrb, f);
|
|
}
|
|
val = (long)f;
|
|
return mrb_fixnum_value(val);
|
|
}
|
|
|
|
/* 15.2.8.3.17 */
|
|
/*
|
|
* call-seq:
|
|
* num.floor -> integer
|
|
*
|
|
* Returns the largest integer less than or equal to <i>num</i>.
|
|
* <code>Numeric</code> implements this by converting <i>anInteger</i>
|
|
* to a <code>Float</code> and invoking <code>Float#floor</code>.
|
|
*
|
|
* 1.floor #=> 1
|
|
* (-1).floor #=> -1
|
|
*/
|
|
|
|
static mrb_value
|
|
num_floor(mrb_state *mrb, mrb_value num)
|
|
{
|
|
return flo_floor(mrb, mrb_Float(mrb, num));
|
|
}
|
|
|
|
/* 15.2.8.3.20 */
|
|
/*
|
|
* call-seq:
|
|
* num.round([ndigits]) -> integer or float
|
|
*
|
|
* Rounds <i>num</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. <code>Numeric</code> implements this by converting itself
|
|
* to a <code>Float</code> and invoking <code>Float#round</code>.
|
|
*/
|
|
|
|
static mrb_value
|
|
num_round(mrb_state *mrb, /*int argc, mrb_value* argv,*/ mrb_value num)
|
|
{
|
|
return flo_round(mrb, /*argc, argv,*/ mrb_Float(mrb, num));
|
|
}
|
|
|
|
SIGNED_VALUE
|
|
mrb_num2long(mrb_state *mrb, mrb_value val)
|
|
{
|
|
again:
|
|
if (mrb_nil_p(val)) {
|
|
mrb_raise(mrb, E_TYPE_ERROR, "no implicit conversion from nil to integer");
|
|
}
|
|
|
|
if (FIXNUM_P(val)) return mrb_fixnum(val);
|
|
|
|
switch (mrb_type(val)) {
|
|
case MRB_TT_FLOAT:
|
|
if (mrb_float(val) <= (double)LONG_MAX
|
|
&& mrb_float(val) >= (double)LONG_MIN) {
|
|
return (SIGNED_VALUE)(mrb_float(val));
|
|
}
|
|
else {
|
|
char buf[24];
|
|
char *s;
|
|
|
|
snprintf(buf, sizeof(buf), "%-.10g", mrb_float(val));
|
|
if ((s = strchr(buf, ' ')) != 0) *s = '\0';
|
|
mrb_raise(mrb, E_RANGE_ERROR, "float %s out of range of integer", buf);
|
|
}
|
|
|
|
default:
|
|
val = mrb_to_int(mrb, val);
|
|
goto again;
|
|
}
|
|
}
|
|
|
|
mrb_value
|
|
mrb_num2ulong(mrb_state *mrb, mrb_value val)
|
|
{
|
|
again:
|
|
if (mrb_nil_p(val)) {
|
|
mrb_raise(mrb, E_TYPE_ERROR, "no implicit conversion from nil to integer");
|
|
}
|
|
|
|
if (FIXNUM_P(val)) return val; /* this is FIX2LONG, inteneded */
|
|
|
|
switch (mrb_type(val)) {
|
|
case MRB_TT_FLOAT:
|
|
if (mrb_float(val) <= (double)LONG_MAX
|
|
&& mrb_float(val) >= (double)LONG_MIN) {
|
|
return mrb_fixnum_value(mrb_float(val));
|
|
}
|
|
else {
|
|
char buf[24];
|
|
char *s;
|
|
|
|
snprintf(buf, sizeof(buf), "%-.10g", mrb_float(val));
|
|
if ((s = strchr(buf, ' ')) != 0) *s = '\0';
|
|
mrb_raise(mrb, E_RANGE_ERROR, "float %s out of range of integer", buf);
|
|
}
|
|
|
|
default:
|
|
val = mrb_to_int(mrb, val);
|
|
goto again;
|
|
}
|
|
}
|
|
|
|
#if SIZEOF_INT < SIZEOF_VALUE
|
|
void
|
|
mrb_out_of_int(mrb_state *mrb, SIGNED_VALUE num)
|
|
{
|
|
mrb_raise(mrb, E_RANGE_ERROR, "integer %"PRIdVALUE " too %s to convert to `int'",
|
|
num, num < 0 ? "small" : "big");
|
|
}
|
|
|
|
static void
|
|
check_int(SIGNED_VALUE num)
|
|
{
|
|
if ((SIGNED_VALUE)(int)num != num) {
|
|
mrb_out_of_int(num);
|
|
}
|
|
}
|
|
|
|
static void
|
|
check_uint(mrb_state *mrb, mrb_value num, mrb_value sign)
|
|
{
|
|
static const mrb_value mask = ~(mrb_value)UINT_MAX;
|
|
|
|
if (RTEST(sign)) {
|
|
/* minus */
|
|
if ((num & mask) != mask || (num & ~mask) <= INT_MAX + 1UL)
|
|
mrb_raise(mrb, E_RANGE_ERROR, "integer %"PRIdVALUE " too small to convert to `unsigned int'", num);
|
|
}
|
|
else {
|
|
/* plus */
|
|
if ((num & mask) != 0)
|
|
mrb_raise(mrb, E_RANGE_ERROR, "integer %"PRIuVALUE " too big to convert to `unsigned int'", num);
|
|
}
|
|
}
|
|
|
|
long
|
|
mrb_num2int(mrb_value val)
|
|
{
|
|
long num = mrb_num2long(mrb, val);
|
|
|
|
check_int(num);
|
|
return num;
|
|
}
|
|
|
|
long
|
|
mrb_fix2int(mrb_state *mrb, mrb_value val)
|
|
{
|
|
long num = FIXNUM_P(val)?mrb_fixnum(val):mrb_num2long(mrb, val);
|
|
|
|
check_int(num);
|
|
return num;
|
|
}
|
|
|
|
unsigned long
|
|
mrb_num2uint(mrb_value val)
|
|
{
|
|
unsigned long num = mrb_num2ulong(val);
|
|
|
|
check_uint(num, mrb_funcall(mrb, val, "<", 1, mrb_fixnum_value(0)));
|
|
return num;
|
|
}
|
|
|
|
unsigned long
|
|
mrb_fix2uint(mrb_state *mrb, mrb_value val)
|
|
{
|
|
unsigned long num;
|
|
|
|
if (!FIXNUM_P(val)) {
|
|
return mrb_num2uint(mrb, val);
|
|
}
|
|
num = FIX2ULONG(val);
|
|
|
|
check_uint(num, mrb_funcall(mrb, val, "<", 1, mrb_fixnum_value(0)));
|
|
return num;
|
|
}
|
|
#else
|
|
long
|
|
mrb_num2int(mrb_state *mrb, mrb_value val)
|
|
{
|
|
return mrb_num2long(mrb, val);
|
|
}
|
|
|
|
long
|
|
mrb_fix2int(mrb_value val)
|
|
{
|
|
return mrb_fixnum(val);
|
|
}
|
|
#endif
|
|
|
|
mrb_value
|
|
mrb_num2fix(mrb_state *mrb, mrb_value val)
|
|
{
|
|
long v;
|
|
|
|
if (FIXNUM_P(val)) return val;
|
|
|
|
v = mrb_num2long(mrb, val);
|
|
if (!FIXABLE(v))
|
|
mrb_raise(mrb, E_RANGE_ERROR, "integer %"PRIdVALUE " out of range of fixnum", v);
|
|
return mrb_fixnum_value(v);
|
|
}
|
|
|
|
#if HAVE_LONG_LONG
|
|
|
|
LONG_LONG
|
|
mrb_num2ll(mrb_state *mrb, mrb_value val)
|
|
{
|
|
if (mrb_nil_p(val)) {
|
|
mrb_raise(mrb, E_TYPE_ERROR, "no implicit conversion from nil");
|
|
}
|
|
|
|
if (FIXNUM_P(val)) return (LONG_LONG)mrb_fixnum(val);
|
|
|
|
switch (mrb_type(val)) {
|
|
case MRB_TT_FLOAT:
|
|
if (mrb_float(val) <= (double)LLONG_MAX
|
|
&& mrb_float(val) >= (double)LLONG_MIN) {
|
|
return (LONG_LONG)(mrb_float(val));
|
|
}
|
|
else {
|
|
char buf[24];
|
|
char *s;
|
|
|
|
snprintf(buf, sizeof(buf), "%-.10g", mrb_float(val));
|
|
if ((s = strchr(buf, ' ')) != 0) *s = '\0';
|
|
mrb_raise(mrb, E_RANGE_ERROR, "float %s out of range of long long", buf);
|
|
}
|
|
|
|
case MRB_TT_STRING:
|
|
mrb_raise(mrb, E_TYPE_ERROR, "no implicit conversion from string");
|
|
return mrb_nil_value(); /* not reached */
|
|
|
|
case MRB_TT_TRUE:
|
|
case MRB_TT_FALSE:
|
|
mrb_raise(mrb, E_TYPE_ERROR, "no implicit conversion from boolean");
|
|
return mrb_nil_value(); /* not reached */
|
|
|
|
default:
|
|
val = mrb_to_int(mrb, val);
|
|
return NUM2LL(val);
|
|
}
|
|
}
|
|
|
|
unsigned LONG_LONG
|
|
mrb_num2ull(mrb_state *mrb, mrb_value val)
|
|
{
|
|
return (unsigned LONG_LONG)mrb_num2ll(mrb, val);
|
|
}
|
|
|
|
#endif /* HAVE_LONG_LONG */
|
|
|
|
/*
|
|
* 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>.
|
|
*
|
|
*/
|
|
|
|
|
|
/* 15.2.8.3.14 */
|
|
/* 15.2.8.3.24 */
|
|
/* 15.2.8.3.26 */
|
|
/*
|
|
* call-seq:
|
|
* int.to_i -> integer
|
|
* int.to_int -> integer
|
|
* int.floor -> integer
|
|
* int.ceil -> integer
|
|
* int.round -> integer
|
|
* int.truncate -> 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;
|
|
}
|
|
|
|
/* 15.2.8.3.21 */
|
|
/*
|
|
* call-seq:
|
|
* fixnum.next -> integer
|
|
* fixnum.succ -> integer
|
|
*
|
|
* Returns the <code>Integer</code> equal to <i>int</i> + 1.
|
|
*
|
|
* 1.next #=> 2
|
|
* (-1).next #=> 0
|
|
*/
|
|
|
|
static mrb_value
|
|
fix_succ(mrb_state *mrb, mrb_value num)
|
|
{
|
|
long i = mrb_fixnum(num) + 1;
|
|
return mrb_fixnum_value(i);
|
|
}
|
|
|
|
/* 15.2.8.3.19 */
|
|
/*
|
|
* call-seq:
|
|
* int.next -> integer
|
|
* int.succ -> integer
|
|
*
|
|
* Returns the <code>Integer</code> equal to <i>int</i> + 1.
|
|
*
|
|
* 1.next #=> 2
|
|
* (-1).next #=> 0
|
|
*/
|
|
static mrb_value
|
|
int_succ(mrb_state *mrb, mrb_value num)
|
|
{
|
|
if (FIXNUM_P(num)) {
|
|
long i = mrb_fixnum(num) + 1;
|
|
return mrb_fixnum_value(i);
|
|
}
|
|
return mrb_funcall(mrb, num, "+", 1, mrb_fixnum_value(1));
|
|
}
|
|
|
|
mrb_value
|
|
rb_fix2str(mrb_state *mrb, mrb_value x, int base)
|
|
{
|
|
extern const char ruby_digitmap[];
|
|
char buf[SIZEOF_VALUE*CHAR_BIT + 2], *b = buf + sizeof buf;
|
|
long val = mrb_fixnum(x);
|
|
int neg = 0;
|
|
|
|
if (base < 2 || 36 < base) {
|
|
mrb_raise(mrb, E_ARGUMENT_ERROR, "invalid radix %d", base);
|
|
}
|
|
if (val == 0) {
|
|
return mrb_usascii_str_new2(mrb, "0");
|
|
}
|
|
if (val < 0) {
|
|
val = -val;
|
|
neg = 1;
|
|
}
|
|
*--b = '\0';
|
|
do {
|
|
*--b = ruby_digitmap[(int)(val % base)];
|
|
} while (val /= base);
|
|
if (neg) {
|
|
*--b = '-';
|
|
}
|
|
|
|
return mrb_usascii_str_new2(mrb, b);
|
|
}
|
|
|
|
#define SQRT_LONG_MAX ((SIGNED_VALUE)1<<((SIZEOF_LONG*CHAR_BIT-1)/2))
|
|
/*tests if N*N would overflow*/
|
|
#define FIT_SQRT_LONG(n) (((n)<SQRT_LONG_MAX)&&((n)>=-SQRT_LONG_MAX))
|
|
|
|
/* 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);
|
|
|
|
if (FIXNUM_P(y)) {
|
|
#ifdef __HP_cc
|
|
/* avoids an optimization bug of HP aC++/ANSI C B3910B A.06.05 [Jul 25 2005] */
|
|
volatile
|
|
#endif
|
|
long a, b;
|
|
#if SIZEOF_LONG * 2 <= SIZEOF_LONG_LONG
|
|
LONG_LONG d;
|
|
#else
|
|
long c;
|
|
mrb_value r;
|
|
#endif
|
|
|
|
a = mrb_fixnum(x);
|
|
b = mrb_fixnum(y);
|
|
|
|
#if SIZEOF_LONG * 2 <= SIZEOF_LONG_LONG
|
|
d = (LONG_LONG)a * b;
|
|
if (FIXABLE(d)) return mrb_fixnum_value(d);
|
|
return mrb_nil_value();// rb_ll2inum(d);
|
|
#else
|
|
if (FIT_SQRT_LONG(a) && FIT_SQRT_LONG(b))
|
|
return mrb_fixnum_value(a*b);
|
|
c = a * b;
|
|
r = mrb_fixnum_value(c);
|
|
|
|
if (a == 0) return x;
|
|
if (mrb_fixnum(r) != c || c/a != b) {
|
|
//r = mrb_big_mul(mrb_int2big(a), mrb_int2big(b));
|
|
r = mrb_fixnum_value(a*b);
|
|
}
|
|
return r;
|
|
#endif
|
|
}
|
|
switch (mrb_type(y)) {
|
|
case MRB_TT_FLOAT:
|
|
return mrb_float_value((double)mrb_fixnum(x) * mrb_float(y));
|
|
default:
|
|
return mrb_num_coerce_bin(mrb, x, y, "*");
|
|
}
|
|
}
|
|
|
|
static void
|
|
fixdivmod(mrb_state *mrb, long x, long y, long *divp, long *modp)
|
|
{
|
|
long div, mod;
|
|
|
|
if (y == 0) mrb_num_zerodiv(mrb);
|
|
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;
|
|
}
|
|
|
|
mrb_value rb_big_fdiv(mrb_value x, mrb_value y);
|
|
|
|
//mrb_value mrb_rational_reciprocal(mrb_value x);
|
|
|
|
static mrb_value
|
|
fix_divide(mrb_state *mrb, mrb_value x, mrb_value y, char* op)
|
|
{
|
|
if (FIXNUM_P(y)) {
|
|
long div;
|
|
|
|
fixdivmod(mrb, mrb_fixnum(x), mrb_fixnum(y), &div, 0);
|
|
return mrb_fixnum_value(div);
|
|
}
|
|
switch (mrb_type(y)) {
|
|
case MRB_TT_FLOAT:
|
|
{
|
|
double div;
|
|
|
|
if (*op == '/') {
|
|
div = (double)mrb_fixnum(x) / mrb_float(y);
|
|
return mrb_float_value(div);
|
|
}
|
|
else {
|
|
if (mrb_float(y) == 0) mrb_num_zerodiv(mrb);
|
|
div = (double)mrb_fixnum(x) / mrb_float(y);
|
|
return mrb_dbl2big(mrb, floor(div));
|
|
}
|
|
}
|
|
//case MRB_TT_RATIONAL:
|
|
// if (op == '/' && mrb_fixnum(x) == 1)
|
|
// return mrb_rational_reciprocal(y);
|
|
/* fall through */
|
|
default:
|
|
return mrb_num_coerce_bin(mrb, x, y, op);
|
|
}
|
|
}
|
|
|
|
/* 15.2.8.3.4 */
|
|
/*
|
|
* call-seq:
|
|
* fix / numeric -> numeric_result
|
|
*
|
|
* Performs division: 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_div(mrb_state *mrb, mrb_value x)
|
|
{
|
|
mrb_value y;
|
|
mrb_get_args(mrb, "o", &y);
|
|
|
|
return fix_divide(mrb, x, y, "/");
|
|
}
|
|
|
|
/* 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_get_args(mrb, "o", &y);
|
|
|
|
if (FIXNUM_P(y)) {
|
|
long mod;
|
|
|
|
fixdivmod(mrb, mrb_fixnum(x), mrb_fixnum(y), 0, &mod);
|
|
return mrb_fixnum_value(mod);
|
|
}
|
|
switch (mrb_type(y)) {
|
|
case MRB_TT_FLOAT:
|
|
{
|
|
double mod;
|
|
|
|
flodivmod(mrb, (double)mrb_fixnum(x), mrb_float(y), 0, &mod);
|
|
return mrb_float_value(mod);
|
|
}
|
|
default:
|
|
return mrb_num_coerce_bin(mrb, x, y, "%");
|
|
}
|
|
}
|
|
|
|
/*
|
|
* 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 (FIXNUM_P(y)) {
|
|
long div, mod;
|
|
|
|
fixdivmod(mrb, mrb_fixnum(x), mrb_fixnum(y), &div, &mod);
|
|
|
|
return mrb_assoc_new(mrb, mrb_fixnum_value(div), mrb_fixnum_value(mod));
|
|
}
|
|
switch (mrb_type(y)) {
|
|
case MRB_TT_FLOAT:
|
|
{
|
|
double div, mod;
|
|
volatile mrb_value a, b;
|
|
|
|
flodivmod(mrb, (double)mrb_fixnum(x), mrb_float(y), &div, &mod);
|
|
a = dbl2ival(div);
|
|
b = mrb_float_value(mod);
|
|
return mrb_assoc_new(mrb, a, b);
|
|
}
|
|
default:
|
|
return mrb_num_coerce_bin(mrb, x, y, "divmod");
|
|
}
|
|
}
|
|
|
|
/* 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);
|
|
|
|
if (mrb_obj_equal(mrb, x, y)) return mrb_true_value();
|
|
if (FIXNUM_P(y)) return mrb_false_value();
|
|
switch (mrb_type(y)) {
|
|
case MRB_TT_FLOAT:
|
|
return (double)mrb_fixnum(x) == mrb_float(y) ? mrb_true_value() : mrb_false_value();
|
|
default:
|
|
return num_equal(mrb, x, y);
|
|
}
|
|
}
|
|
|
|
/* 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)
|
|
{
|
|
long val = mrb_fixnum(num);
|
|
|
|
val = ~val;
|
|
return mrb_fixnum_value(val);
|
|
}
|
|
|
|
static mrb_value
|
|
bit_coerce(mrb_state *mrb, mrb_value x)
|
|
{
|
|
while (!FIXNUM_P(x)) {
|
|
if (mrb_type(x) == MRB_TT_FLOAT) {
|
|
mrb_raise(mrb, E_TYPE_ERROR, "can't convert Float into Integer");
|
|
}
|
|
x = mrb_to_int(mrb, x);
|
|
}
|
|
return x;
|
|
}
|
|
|
|
/* 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;
|
|
long val;
|
|
mrb_get_args(mrb, "o", &y);
|
|
|
|
//if (!FIXNUM_P(y = bit_coerce(mrb, y))) {
|
|
// return mrb_big_and(y, x);
|
|
//}
|
|
if (mrb_type(y) == MRB_TT_FLOAT) {
|
|
mrb_raise(mrb, E_TYPE_ERROR, "can't convert Float into Integer");
|
|
}
|
|
y = bit_coerce(mrb, y);
|
|
val = mrb_fixnum(x) & mrb_fixnum(y);
|
|
return mrb_fixnum_value(val);
|
|
}
|
|
|
|
/* 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;
|
|
long val;
|
|
mrb_get_args(mrb, "o", &y);
|
|
|
|
//if (!FIXNUM_P(y = bit_coerce(mrb, y))) {
|
|
// return mrb_big_or(y, x);
|
|
//}
|
|
if (mrb_type(y) == MRB_TT_FLOAT) {
|
|
mrb_raise(mrb, E_TYPE_ERROR, "can't convert Float into Integer");
|
|
}
|
|
y = bit_coerce(mrb, y);
|
|
val = mrb_fixnum(x) | mrb_fixnum(y);
|
|
return mrb_fixnum_value(val);
|
|
}
|
|
|
|
/* 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;
|
|
long val;
|
|
mrb_get_args(mrb, "o", &y);
|
|
|
|
//if (!FIXNUM_P(y = bit_coerce(mrb, y))) {
|
|
// return mrb_big_xor(y, x);
|
|
//}
|
|
if (mrb_type(y) == MRB_TT_FLOAT) {
|
|
mrb_raise(mrb, E_TYPE_ERROR, "can't convert Float into Integer");
|
|
}
|
|
y = bit_coerce(mrb, y);
|
|
val = mrb_fixnum(x) ^ mrb_fixnum(y);
|
|
return mrb_fixnum_value(val);
|
|
}
|
|
|
|
static mrb_value fix_lshift(mrb_state *mrb, long, unsigned long);
|
|
static mrb_value fix_rshift(long, unsigned long);
|
|
|
|
/* 15.2.8.3.12 */
|
|
/*
|
|
* call-seq:
|
|
* fix << count -> integer
|
|
*
|
|
* Shifts _fix_ left _count_ positions (right if _count_ is negative).
|
|
*/
|
|
|
|
static mrb_value
|
|
mrb_fix_lshift(mrb_state *mrb, mrb_value x)
|
|
{
|
|
mrb_value y;
|
|
long val, width;
|
|
mrb_get_args(mrb, "o", &y);
|
|
|
|
val = mrb_fixnum(x);
|
|
//if (!FIXNUM_P(y))
|
|
// return mrb_big_lshift(mrb_int2big(val), y);
|
|
if (mrb_type(y) == MRB_TT_FLOAT) {
|
|
mrb_raise(mrb, E_TYPE_ERROR, "can't convert Float into Integer");
|
|
}
|
|
width = mrb_fixnum(y);
|
|
if (width < 0)
|
|
return fix_rshift(val, (unsigned long)-width);
|
|
return fix_lshift(mrb, val, width);
|
|
}
|
|
|
|
static mrb_value
|
|
fix_lshift(mrb_state *mrb, long val, unsigned long width)
|
|
{
|
|
if (width > (SIZEOF_LONG*CHAR_BIT-1)
|
|
|| ((unsigned long)abs(val))>>(SIZEOF_LONG*CHAR_BIT-1-width) > 0) {
|
|
mrb_raise(mrb, E_RANGE_ERROR, "width(%d) > (SIZEOF_LONG*CHAR_BIT-1)", width);
|
|
}
|
|
val = val << width;
|
|
return mrb_fixnum_value(val);
|
|
}
|
|
|
|
/* 15.2.8.3.13 */
|
|
/*
|
|
* call-seq:
|
|
* fix >> count -> integer
|
|
*
|
|
* Shifts _fix_ right _count_ positions (left if _count_ is negative).
|
|
*/
|
|
|
|
static mrb_value
|
|
mrb_fix_rshift(mrb_state *mrb, mrb_value x)
|
|
{
|
|
mrb_value y;
|
|
long i, val;
|
|
mrb_get_args(mrb, "o", &y);
|
|
|
|
val = mrb_fixnum(x);
|
|
//if (!FIXNUM_P(y))
|
|
// return mrb_big_rshift(mrb_int2big(val), y);
|
|
i = mrb_fixnum(y);
|
|
if (i == 0) return x;
|
|
if (i < 0)
|
|
return fix_lshift(mrb, val, (unsigned long)-i);
|
|
return fix_rshift(val, i);
|
|
}
|
|
|
|
static mrb_value
|
|
fix_rshift(long val, unsigned long i)
|
|
{
|
|
if (i >= sizeof(long)*CHAR_BIT-1) {
|
|
if (val < 0) return mrb_fixnum_value(-1);
|
|
return mrb_fixnum_value(0);
|
|
}
|
|
val = RSHIFT(val, i);
|
|
return mrb_fixnum_value(val);
|
|
}
|
|
|
|
/* 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)
|
|
{
|
|
double val;
|
|
|
|
val = (double)mrb_fixnum(num);
|
|
|
|
return mrb_float_value(val);
|
|
}
|
|
|
|
/*
|
|
* Document-class: ZeroDivisionError
|
|
*
|
|
* Raised when attempting to divide an integer by 0.
|
|
*
|
|
* 42 / 0
|
|
*
|
|
* <em>raises the exception:</em>
|
|
*
|
|
* ZeroDivisionError: divided by 0
|
|
*
|
|
* Note that only division by an exact 0 will raise that exception:
|
|
*
|
|
* 42 / 0.0 #=> Float::INFINITY
|
|
* 42 / -0.0 #=> -Float::INFINITY
|
|
* 0 / 0.0 #=> NaN
|
|
*/
|
|
|
|
/*
|
|
* 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
|
|
*/
|
|
/* ------------------------------------------------------------------------*/
|
|
static mrb_int
|
|
dbl2big(mrb_state *mrb, float d)
|
|
{
|
|
//long i = 0;
|
|
//BDIGIT c;
|
|
//BDIGIT *digits;
|
|
mrb_int z;
|
|
//double u = (d < 0)?-d:d;
|
|
|
|
if (isinf(d)) {
|
|
mrb_raise(mrb, E_FLOATDOMAIN_ERROR, d < 0 ? "-Infinity" : "Infinity");
|
|
}
|
|
if (isnan(d)) {
|
|
mrb_raise(mrb, E_FLOATDOMAIN_ERROR, "NaN");
|
|
}
|
|
z = (mrb_int)d;
|
|
return z;
|
|
}
|
|
|
|
mrb_value
|
|
mrb_dbl2big(mrb_state *mrb, float d)
|
|
{
|
|
return mrb_fixnum_value(dbl2big(mrb, d));//bignorm(dbl2big(d));
|
|
}
|
|
|
|
/* 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
|
|
mrb_fixnum_plus(mrb_state *mrb, mrb_value self)
|
|
{
|
|
mrb_int x, y;
|
|
|
|
x = mrb_fixnum(self);
|
|
mrb_get_args(mrb, "i", &y);
|
|
|
|
DEBUG(printf("%d + %d = %d\n", x, y, x+y));
|
|
return mrb_fixnum_value(x + 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
|
|
mrb_fixnum_minus(mrb_state *mrb, mrb_value self)
|
|
{
|
|
mrb_int x, y;
|
|
|
|
x = mrb_fixnum(self);
|
|
mrb_get_args(mrb, "i", &y);
|
|
|
|
DEBUG(printf("%d - %d = %d\n", x, y, x-y));
|
|
return mrb_fixnum_value(x - y);
|
|
}
|
|
|
|
/* 15.2.8.3.6 */
|
|
/*
|
|
* call-seq:
|
|
* self.i <=> other.i => -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
|
|
mrb_fixnum_cmp(mrb_state *mrb, mrb_value self)
|
|
{
|
|
mrb_int x, y;
|
|
mrb_value vy;
|
|
|
|
mrb_get_args(mrb, "o", &vy);
|
|
if (FIXNUM_P(vy)) {
|
|
x = mrb_fixnum(self);
|
|
y = mrb_fixnum(vy);
|
|
DEBUG(printf("%d <=> %d\n", x, y));
|
|
if (x > y)
|
|
return mrb_fixnum_value(1);
|
|
else if (x < y)
|
|
return mrb_fixnum_value(-1);
|
|
else
|
|
return mrb_fixnum_value(0);
|
|
}
|
|
else {
|
|
return mrb_num_coerce_cmp(mrb, self, vy, "<=>");
|
|
}
|
|
|
|
}
|
|
|
|
/* 15.2.8.3.29 (x) */
|
|
/*
|
|
* call-seq:
|
|
* fix > other => true or false
|
|
*
|
|
* Returns <code>true</code> if the value of <code>fix</code> is
|
|
* greater than that of <code>other</code>.
|
|
*/
|
|
|
|
mrb_value
|
|
mrb_fix2str(mrb_state *mrb, mrb_value x, int base)
|
|
{
|
|
char buf[64], *b = buf + sizeof buf;
|
|
long val = mrb_fixnum(x);
|
|
int neg = 0;
|
|
|
|
if (base < 2 || 36 < base) {
|
|
mrb_raise(mrb, E_ARGUMENT_ERROR, "invalid radix %d", base);
|
|
}
|
|
if (val == 0) {
|
|
return mrb_str_new2(mrb, "0");
|
|
}
|
|
if (val < 0) {
|
|
val = -val;
|
|
neg = 1;
|
|
}
|
|
*--b = '\0';
|
|
do {
|
|
*--b = ruby_digitmap[(int)(val % base)];
|
|
} while (val /= base);
|
|
if (neg) {
|
|
*--b = '-';
|
|
}
|
|
|
|
return mrb_str_new2(mrb, b);
|
|
}
|
|
|
|
mrb_value
|
|
mrb_fix_to_s(mrb_state *mrb, mrb_value self, int argc, mrb_value *argv)
|
|
{
|
|
int base;
|
|
|
|
if (argc == 0) base = 10;
|
|
else {
|
|
//mrb_value b;
|
|
|
|
//mrb_scan_args(argc, argv, "01", &b);
|
|
base = mrb_fixnum(argv[0]);
|
|
}
|
|
|
|
return mrb_fix2str(mrb, self, base);
|
|
}
|
|
|
|
/* 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
|
|
mrb_fixnum_to_s(mrb_state *mrb, mrb_value self) /* fix_to_s */
|
|
{
|
|
mrb_value *argv;
|
|
int argc;
|
|
|
|
mrb_get_args(mrb, "*", &argv, &argc);
|
|
return mrb_fix_to_s(mrb, self, argc, argv);
|
|
}
|
|
|
|
/* 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
|
|
mrb_float_cmp(mrb_state *mrb, mrb_value self)
|
|
{
|
|
mrb_value vy;
|
|
mrb_float x, y;
|
|
|
|
x = mrb_float(self);
|
|
mrb_get_args(mrb, "o", &vy);
|
|
if (FIXNUM_P(vy)) {
|
|
y = (mrb_float)mrb_fixnum(vy);
|
|
}
|
|
else {
|
|
y = mrb_float(vy);
|
|
}
|
|
|
|
DEBUG(printf("%f <=> %f\n", x, y));
|
|
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
|
|
mrb_float_plus(mrb_state *mrb, mrb_value self)
|
|
{
|
|
mrb_float x, y;
|
|
|
|
x = mrb_float(self);
|
|
mrb_get_args(mrb, "f", &y);
|
|
|
|
return mrb_float_value(x + 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);
|
|
mrb_include_module(mrb, numeric, mrb_class_get(mrb, "Comparable"));
|
|
|
|
mrb_define_method(mrb, numeric, "+@", num_uplus, ARGS_REQ(1)); /* 15.2.7.4.1 */
|
|
mrb_define_method(mrb, numeric, "-@", num_uminus, ARGS_REQ(1)); /* 15.2.7.4.2 */
|
|
mrb_define_method(mrb, numeric, "abs", num_abs, ARGS_NONE()); /* 15.2.7.4.3 */
|
|
mrb_define_method(mrb, numeric, "coerce", num_coerce, ARGS_REQ(1)); /* 15.2.7.4.4 */
|
|
mrb_define_method(mrb, numeric, "quo", num_quo, ARGS_REQ(1)); /* 15.2.7.4.5 (x) */
|
|
|
|
/* Integer Class */
|
|
integer = mrb_define_class(mrb, "Integer", numeric);
|
|
fixnum = mrb->fixnum_class = mrb_define_class(mrb, "Fixnum", integer);
|
|
|
|
mrb_define_method(mrb, fixnum, "+", mrb_fixnum_plus, ARGS_REQ(1)); /* 15.2.8.3.1 */
|
|
mrb_define_method(mrb, fixnum, "-", mrb_fixnum_minus, ARGS_REQ(1)); /* 15.2.8.3.2 */
|
|
mrb_define_method(mrb, fixnum, "*", fix_mul, ARGS_REQ(1)); /* 15.2.8.3.3 */
|
|
mrb_define_method(mrb, fixnum, "/", fix_div, ARGS_REQ(1)); /* 15.2.8.3.4 */
|
|
mrb_define_method(mrb, fixnum, "%", fix_mod, ARGS_REQ(1)); /* 15.2.8.3.5 */
|
|
mrb_define_method(mrb, fixnum, "<=>", mrb_fixnum_cmp, ARGS_REQ(1)); /* 15.2.8.3.6 */
|
|
mrb_define_method(mrb, fixnum, "==", fix_equal, ARGS_REQ(1)); /* 15.2.8.3.7 */
|
|
mrb_define_method(mrb, fixnum, "~", fix_rev, ARGS_NONE()); /* 15.2.8.3.8 */
|
|
mrb_define_method(mrb, fixnum, "&", fix_and, ARGS_REQ(1)); /* 15.2.8.3.9 */
|
|
mrb_define_method(mrb, fixnum, "|", fix_or, ARGS_REQ(1)); /* 15.2.8.3.10 */
|
|
mrb_define_method(mrb, fixnum, "^", fix_xor, ARGS_REQ(1)); /* 15.2.8.3.11 */
|
|
mrb_define_method(mrb, fixnum, "<<", mrb_fix_lshift, ARGS_REQ(1)); /* 15.2.8.3.12 */
|
|
mrb_define_method(mrb, fixnum, ">>", mrb_fix_rshift, ARGS_REQ(1)); /* 15.2.8.3.13 */
|
|
mrb_define_method(mrb, fixnum, "ceil", int_to_i, ARGS_NONE()); /* 15.2.8.3.14 */
|
|
mrb_define_method(mrb, fixnum, "eql?", num_eql, ARGS_REQ(1)); /* 15.2.8.3.16 */
|
|
mrb_define_method(mrb, fixnum, "floor", num_floor, ARGS_NONE()); /* 15.2.8.3.17 */
|
|
mrb_define_method(mrb, fixnum, "hash", flo_hash, ARGS_NONE()); /* 15.2.8.3.18 */
|
|
mrb_define_method(mrb, fixnum, "next", int_succ, ARGS_NONE()); /* 15.2.8.3.19 */
|
|
mrb_define_method(mrb, fixnum, "round", num_round, ARGS_ANY()); /* 15.2.8.3.20 */
|
|
mrb_define_method(mrb, fixnum, "succ", fix_succ, ARGS_NONE()); /* 15.2.8.3.21 */
|
|
mrb_define_method(mrb, fixnum, "to_f", fix_to_f, ARGS_NONE()); /* 15.2.8.3.23 */
|
|
mrb_define_method(mrb, fixnum, "to_i", int_to_i, ARGS_NONE()); /* 15.2.8.3.24 */
|
|
mrb_define_method(mrb, fixnum, "to_s", mrb_fixnum_to_s, ARGS_NONE()); /* 15.2.8.3.25 */
|
|
mrb_define_method(mrb, fixnum, "truncate", int_to_i, ARGS_NONE()); /* 15.2.8.3.26 */
|
|
//mrb_define_method(mrb, fixnum, "<", mrb_fixnum_lt, ARGS_REQ(1)); /* 15.2.8.3.28 (x) */
|
|
//mrb_define_method(mrb, fixnum, ">", mrb_fixnum_gt, ARGS_REQ(1)); /* 15.2.8.3.29 (x) */
|
|
mrb_define_method(mrb, fixnum, "divmod", fix_divmod, ARGS_REQ(1)); /* 15.2.8.3.30 (x) */
|
|
|
|
/* Float Class */
|
|
fl = mrb->float_class = mrb_define_class(mrb, "Float", numeric);
|
|
mrb_define_method(mrb, fl, "+", mrb_float_plus, ARGS_REQ(1)); /* 15.2.9.3.1 */
|
|
mrb_define_method(mrb, fl, "-", flo_minus, ARGS_REQ(1)); /* 15.2.9.3.2 */
|
|
mrb_define_method(mrb, fl, "*", flo_mul, ARGS_REQ(1)); /* 15.2.9.3.3 */
|
|
mrb_define_method(mrb, fl, "/", flo_div, ARGS_REQ(1)); /* 15.2.9.3.4 */
|
|
mrb_define_method(mrb, fl, "%", flo_mod, ARGS_REQ(1)); /* 15.2.9.3.5 */
|
|
mrb_define_method(mrb, fl, "<=>", mrb_float_cmp, ARGS_REQ(1)); /* 15.2.9.3.6 */
|
|
mrb_define_method(mrb, fl, "==", flo_eq, ARGS_REQ(1)); /* 15.2.9.3.7 */
|
|
mrb_define_method(mrb, fl, "ceil", flo_ceil, ARGS_NONE()); /* 15.2.9.3.8 */
|
|
mrb_define_method(mrb, fl, "finite?", flo_is_finite_p, ARGS_NONE()); /* 15.2.9.3.9 */
|
|
mrb_define_method(mrb, fl, "floor", flo_floor, ARGS_NONE()); /* 15.2.9.3.10 */
|
|
mrb_define_method(mrb, fl, "infinite?", flo_is_infinite_p,ARGS_NONE()); /* 15.2.9.3.11 */
|
|
mrb_define_method(mrb, fl, "round", flo_round, ARGS_ANY()); /* 15.2.9.3.12 */
|
|
mrb_define_method(mrb, fl, "to_f", flo_to_f, ARGS_NONE()); /* 15.2.9.3.13 */
|
|
mrb_define_method(mrb, fl, "to_i", flo_truncate, ARGS_NONE()); /* 15.2.9.3.14 */
|
|
mrb_define_method(mrb, fl, "truncate", flo_truncate, ARGS_NONE()); /* 15.2.9.3.15 */
|
|
|
|
mrb_define_method(mrb, fl, "to_s", flo_to_s, ARGS_NONE()); /* 15.2.9.3.16(x) */
|
|
//mrb_define_method(mrb, fl, "<", flo_lt, ARGS_REQ(1)); /* 15.2.9.3.17(x) */
|
|
//mrb_define_method(mrb, fl, ">", flo_gt, ARGS_REQ(1)); /* 15.2.9.3.18(x) */
|
|
mrb_define_method(mrb, fl, "quo", flo_quo, ARGS_REQ(1)); /* 15.2.9.3.19(x) */
|
|
}
|