21 #if defined(__FreeBSD__) && __FreeBSD__ < 4
22 #include <floatingpoint.h>
41 #define DBL_MIN 2.2250738585072014e-308
44 #define DBL_MAX 1.7976931348623157e+308
47 #define DBL_MIN_EXP (-1021)
50 #define DBL_MAX_EXP 1024
52 #ifndef DBL_MIN_10_EXP
53 #define DBL_MIN_10_EXP (-307)
55 #ifndef DBL_MAX_10_EXP
56 #define DBL_MAX_10_EXP 308
62 #define DBL_MANT_DIG 53
65 #define DBL_EPSILON 2.2204460492503131e-16
69 #elif !defined(WORDS_BIGENDIAN)
76 #elif !defined(WORDS_BIGENDIAN)
90 x = f + (x - f >= 0.5);
94 x = f - (f - x >= 0.5);
124 #define NUMERR_TYPE 1
125 #define NUMERR_NEGATIVE 2
126 #define NUMERR_TOOLARGE 3
129 #if SIZEOF_INT < SIZEOF_LONG
133 *ret = (
unsigned int)v;
140 #if SIZEOF_INT < SIZEOF_LONG
145 #define DIGSPERLONG (SIZEOF_LONG/SIZEOF_BDIGITS)
154 #define method_basic_p(klass) rb_method_basic_definition_p(klass, mid)
248 a[0] = *x; a[1] = *y;
644 flt->float_value = d;
662 char *
ruby_dtoa(
double d_,
int mode,
int ndigits,
int *decpt,
int *sign,
char **rve);
669 int sign, decpt, digs;
673 else if (
isnan(value))
676 p =
ruby_dtoa(value, 0, 0, &decpt, &sign, &e);
678 if ((digs = (
int)(e - p)) >= (
int)
sizeof(
buf)) digs = (int)
sizeof(
buf) - 1;
679 memcpy(
buf, p, digs);
694 memset(ptr,
'0', decpt - digs);
697 memcpy(ptr,
".0", 2);
703 else if (decpt > -4) {
709 memset(ptr += len,
'0', -decpt);
710 memcpy(ptr -= decpt,
buf, digs);
870 flodivmod(
double x,
double y,
double *divp,
double *modp)
895 if (modp) *modp =
mod;
896 if (divp) *divp =
div;
1012 if (dx < 0 && dy !=
round(dy))
1052 if (x == y)
return INT2FIX(0);
1059 if (x == y)
return Qtrue;
1080 volatile double a, b;
1088 #if defined(_MSC_VER) && _MSC_VER < 1300
1096 #if defined(_MSC_VER) && _MSC_VER < 1300
1117 if (d == 0.0) d = 0.0;
1126 if (a == b)
return INT2FIX(0);
1128 if (a < b)
return INT2FIX(-1);
1171 j = (a > 0.0) ? (j > 0 ? 0 : +1) : (j < 0 ? 0 : -1);
1174 if (a > 0.0)
return INT2FIX(1);
1209 #if defined(_MSC_VER) && _MSC_VER < 1300
1217 #if defined(_MSC_VER) && _MSC_VER < 1300
1251 #if defined(_MSC_VER) && _MSC_VER < 1300
1259 #if defined(_MSC_VER) && _MSC_VER < 1300
1292 #if defined(_MSC_VER) && _MSC_VER < 1300
1300 #if defined(_MSC_VER) && _MSC_VER < 1300
1334 #if defined(_MSC_VER) && _MSC_VER < 1300
1342 #if defined(_MSC_VER) && _MSC_VER < 1300
1367 #if defined(_MSC_VER) && _MSC_VER < 1300
1464 return INT2FIX( value < 0 ? -1 : 1 );
1559 if (-0.415241 * ndigits - 0.125 > bytes ) {
1568 x = (x + y / 2) / y * y;
1628 if (argc > 0 &&
rb_scan_args(argc, argv,
"01", &nd) == 1) {
1638 frexp(number, &binexp);
1658 (ndigits >= float_dig - (binexp > 0 ? binexp / 4 : binexp / 3 - 1))) {
1661 if (ndigits < - (binexp > 0 ? binexp / 3 + 1 : binexp / 4)) {
1664 f = pow(10, ndigits);
1683 if (f > 0.0) f = floor(f);
1684 if (f < 0.0) f = ceil(f);
1768 double n = (end - beg)/unit;
1769 double err = (fabs(beg) + fabs(end) + fabs(end-beg)) / fabs(unit) * epsilon;
1772 return unit > 0 ? beg <= end : beg >= end;
1774 if (err>0.5) err=0.5;
1804 for (i=0; i<n; i++) {
1805 double d = i*unit+beg;
1806 if (unit >= 0 ? end < d : d < end) d = end;
1824 delta += (diff > 0 ? -1 : +1);
1826 result = delta /
diff;
1827 return LONG2FIX(result >= 0 ? result + 1 : 0);
1942 #define LONG_MIN_MINUS_ONE ((double)LONG_MIN-1)
1943 #define LONG_MAX_PLUS_ONE (2*(double)(LONG_MAX/2+1))
1944 #define ULONG_MAX_PLUS_ONE (2*(double)(ULONG_MAX/2+1))
1956 switch (
TYPE(val)) {
1967 if ((s =
strchr(buf,
' ')) != 0) *s =
'\0';
1990 switch (
TYPE(val)) {
2001 if ((s =
strchr(buf,
' ')) != 0) *s =
'\0';
2014 #if SIZEOF_INT < SIZEOF_VALUE
2019 num, num < 0 ?
"small" :
"big");
2031 check_uint(
VALUE num,
int sign)
2037 if ((num & mask) != mask || (num & ~mask) <= INT_MAX)
2038 #define VALUE_MSBMASK ((VALUE)1 << ((sizeof(VALUE) * CHAR_BIT) - 1))
2043 if ((num & mask) != 0)
2067 rb_num2uint(
VALUE val)
2072 return (
unsigned long)num;
2076 rb_fix2uint(
VALUE val)
2081 return rb_num2uint(val);
2106 num, num < 0 ?
"small" :
"big");
2124 if ((num & mask) != mask || (num & ~mask) <= SHRT_MAX)
2125 #define VALUE_MSBMASK ((VALUE)1 << ((sizeof(VALUE) * CHAR_BIT) - 1))
2130 if ((num & mask) != 0)
2159 return (
unsigned long)num;
2191 #define LLONG_MIN_MINUS_ONE ((double)LLONG_MIN-1)
2192 #define LLONG_MAX_PLUS_ONE (2*(double)(LLONG_MAX/2+1))
2193 #define ULLONG_MAX_PLUS_ONE (2*(double)(ULLONG_MAX/2+1))
2195 #define ULLONG_MAX ((unsigned LONG_LONG)LLONG_MAX*2+1)
2199 rb_num2ll(
VALUE val)
2207 switch (
TYPE(val)) {
2218 if ((s =
strchr(buf,
' ')) != 0) *s =
'\0';
2223 return rb_big2ll(val);
2243 rb_num2ull(
VALUE val)
2245 switch (
TYPE(val)) {
2262 if ((s =
strchr(buf,
' ')) != 0) *s =
'\0';
2267 return rb_big2ull(val);
2283 return NUM2ULL(val);
2398 #define int_succ rb_int_succ
2420 #define int_pred rb_int_pred
2559 if (base < 2 || 36 < base) {
2571 *--b = ruby_digitmap[(int)(val % base)];
2572 }
while (val /= base);
2600 if (argc == 0) base = 10;
2678 #define SQRT_LONG_MAX ((SIGNED_VALUE)1<<((SIZEOF_LONG*CHAR_BIT-1)/2))
2680 #define FIT_SQRT_LONG(n) (((n)<SQRT_LONG_MAX)&&((n)>=-SQRT_LONG_MAX))
2700 #if SIZEOF_LONG * 2 <= SIZEOF_LONG_LONG
2709 #if SIZEOF_LONG * 2 <= SIZEOF_LONG_LONG
2710 d = (LONG_LONG)a * b;
2712 return rb_ll2inum(d);
2716 if (a == 0)
return x;
2753 if ((mod < 0 && y > 0) || (mod > 0 && y < 0)) {
2757 if (divp) *divp =
div;
2758 if (modp) *modp =
mod;
2905 volatile VALUE a, b;
2930 while (y % 2 == 0) {
2972 if (a == 1)
return INT2FIX(1);
2982 if (b == 0)
return INT2FIX(1);
2983 if (b == 1)
return x;
2992 if (a == 1)
return INT2FIX(1);
2999 if (a == 0)
return INT2FIX(0);
3007 if (a == 1)
return DBL2NUM(1.0);
3010 if (a < 0 && dy !=
round(dy))
3012 return DBL2NUM(pow((
double)a, dy));
3033 if (x == y)
return Qtrue;
3059 if (x == y)
return INT2FIX(0);
3200 if (!err)
return FALSE;
3303 return fix_rshift(val, (
unsigned long)-width);
3310 if (width > (SIZEOF_LONG*
CHAR_BIT-1)
3311 || ((
unsigned long)val)>>(SIZEOF_LONG*
CHAR_BIT-1-width) > 0) {
3334 if (i == 0)
return x;
3343 if (i >=
sizeof(
long)*
CHAR_BIT-1) {
3344 if (val < 0)
return INT2FIX(-1);
3347 val = RSHIFT(val, i);
3386 if (val < 0)
return INT2FIX(1);
3485 for (i =
FIX2LONG(from); i <= end; i++) {
3533 for (i=
FIX2LONG(from); i >= end; i--) {
3589 for (i=0; i<end; i++) {
3624 if (argc == 0)
return num;
3721 #define rb_intern(str) rb_intern_const(str)
3723 #if defined(__FreeBSD__) && __FreeBSD__ < 4
3725 fpsetmask(fpgetmask() & ~(FP_X_DZ|FP_X_INV|FP_X_OFL));
3726 #elif defined(_UNICOSMP)
3729 #elif defined(__BORLANDC__)
3731 _control87(MCW_EM, MCW_EM);
3732 _control87(_control87(0,0),0x1FFF);
#define RB_TYPE_P(obj, type)
unsigned short rb_fix2ushort(VALUE val)
VALUE rb_big_modulo(VALUE x, VALUE y)
static VALUE fix_fdiv(VALUE x, VALUE y)
static int do_coerce(VALUE *x, VALUE *y, int err)
static VALUE flo_to_s(VALUE flt)
static VALUE num_abs(VALUE num)
int rb_enc_codelen(int c, rb_encoding *enc)
#define ONIGERR_TOO_BIG_WIDE_CHAR_VALUE
static VALUE num_remainder(VALUE x, VALUE y)
short rb_num2short(VALUE val)
static VALUE num_coerce(VALUE x, VALUE y)
#define RBIGNUM_POSITIVE_P(b)
static VALUE fix_minus(VALUE x, VALUE y)
static int rb_special_const_p(VALUE obj)
static VALUE flo_plus(VALUE x, VALUE y)
static void check_ushort(VALUE num, int sign)
static VALUE fix_le(VALUE x, VALUE y)
static VALUE flo_hash(VALUE num)
static VALUE flo_cmp(VALUE x, VALUE y)
static VALUE flo_zero_p(VALUE num)
static VALUE rb_fix_rshift(VALUE x, VALUE y)
VALUE rb_num_coerce_bit(VALUE x, VALUE y, ID func)
VALUE rb_big_xor(VALUE xx, VALUE yy)
VALUE rb_big2ulong(VALUE x)
static VALUE num_equal(VALUE x, VALUE y)
static VALUE fix_xor(VALUE x, VALUE y)
static VALUE fix_size(VALUE fix)
RUBY_EXTERN const union bytesequence4_or_float rb_infinity
RUBY_EXTERN int finite(double)
static VALUE num_zero_p(VALUE num)
#define rb_usascii_str_new2
static double ruby_float_step_size(double beg, double end, double unit, int excl)
#define LONG_MAX_PLUS_ONE
const char ruby_digitmap[]
RUBY_EXTERN void * memmove(void *, const void *, size_t)
VALUE rb_big_plus(VALUE x, VALUE y)
rb_encoding * rb_to_encoding(VALUE enc)
double ruby_float_mod(double x, double y)
VALUE rb_fix2str(VALUE x, int base)
VALUE rb_dbl_cmp(double a, double b)
static VALUE fix_mul(VALUE x, VALUE y)
rb_encoding * rb_default_internal_encoding(void)
static VALUE flo_quo(VALUE x, VALUE y)
static VALUE fix_zero_p(VALUE num)
void rb_remove_method_id(VALUE, ID)
VALUE rb_enc_str_new(const char *, long, rb_encoding *)
static VALUE fix_to_s(int argc, VALUE *argv, VALUE x)
static VALUE flo_to_f(VALUE num)
VALUE rb_big_and(VALUE xx, VALUE yy)
VALUE rb_funcall(VALUE, ID, int,...)
Calls a method.
static VALUE num_modulo(VALUE x, VALUE y)
VALUE rb_big_fdiv(VALUE x, VALUE y)
void rb_raise(VALUE exc, const char *fmt,...)
VALUE rb_integer_float_cmp(VALUE x, VALUE y)
VALUE rb_obj_class(VALUE)
VALUE rb_num2ulong(VALUE val)
int rb_num_negative_p(VALUE num)
void rb_include_module(VALUE klass, VALUE module)
static VALUE num_imaginary(VALUE num)
double rb_big2dbl(VALUE x)
VALUE rb_num2fix(VALUE val)
#define LONG_MIN_MINUS_ONE
static void check_short(SIGNED_VALUE num)
unsigned short rb_num2ushort(VALUE val)
static VALUE dbl2ival(double d)
static VALUE flo_abs(VALUE flt)
static int negative_int_p(VALUE num)
VALUE rb_int_pred(VALUE num)
static VALUE flo_ge(VALUE x, VALUE y)
static VALUE fix_idiv(VALUE x, VALUE y)
void rb_undef_method(VALUE klass, const char *name)
int rb_cmpint(VALUE val, VALUE a, VALUE b)
static VALUE flo_divmod(VALUE x, VALUE y)
static VALUE fix_or(VALUE x, VALUE y)
static VALUE flo_lt(VALUE x, VALUE y)
VALUE rb_equal(VALUE, VALUE)
static VALUE flo_truncate(VALUE num)
static VALUE flo_pow(VALUE x, VALUE y)
short rb_fix2short(VALUE val)
static int bit_coerce(VALUE *x, VALUE *y, int err)
#define rb_complex_raw1(x)
VALUE rb_usascii_str_new(const char *, long)
VALUE rb_singleton_class(VALUE obj)
Returns the singleton class of obj.
VALUE rb_big_divmod(VALUE x, VALUE y)
VALUE rb_rescue(VALUE(*b_proc)(ANYARGS), VALUE data1, VALUE(*r_proc)(ANYARGS), VALUE data2)
static VALUE int_upto_size(VALUE from, VALUE args)
static VALUE coerce_body(VALUE *x)
VALUE rb_dbl2big(double d)
static VALUE num_real_p(VALUE num)
VALUE rb_big_eq(VALUE x, VALUE y)
static VALUE fix_divide(VALUE x, VALUE y, ID op)
static VALUE int_even_p(VALUE num)
static int positive_int_p(VALUE num)
static VALUE flo_is_nan_p(VALUE num)
static VALUE num_to_int(VALUE num)
VALUE rb_big_cmp(VALUE x, VALUE y)
void rb_define_const(VALUE, const char *, VALUE)
static VALUE num_uplus(VALUE num)
static VALUE int_dotimes(VALUE num)
VALUE rb_num_coerce_relop(VALUE x, VALUE y, ID func)
VALUE rb_define_class(const char *name, VALUE super)
Defines a top-level class.
static VALUE num_floor(VALUE num)
static VALUE int_upto(VALUE from, VALUE to)
static VALUE fix_div(VALUE x, VALUE y)
static VALUE int_odd_p(VALUE num)
static VALUE num_ceil(VALUE num)
int ruby_float_step(VALUE from, VALUE to, VALUE step, int excl)
static VALUE coerce_rescue(VALUE *x)
static VALUE fix_pow(VALUE x, VALUE y)
static VALUE fix_rshift(long, unsigned long)
static VALUE fix_equal(VALUE x, VALUE y)
#define RBIGNUM_NEGATIVE_P(b)
static VALUE num_fdiv(VALUE x, VALUE y)
static VALUE int_downto(VALUE from, VALUE to)
SIGNED_VALUE rb_big2long(VALUE x)
static VALUE flo_ceil(VALUE num)
void rb_num_zerodiv(void)
VALUE rb_eFloatDomainError
VALUE rb_check_funcall(VALUE, ID, int, VALUE *)
static VALUE int_chr(int argc, VALUE *argv, VALUE num)
static VALUE fix_plus(VALUE x, VALUE y)
static VALUE fix_gt(VALUE x, VALUE y)
static VALUE num_step(int argc, VALUE *argv, VALUE from)
static VALUE int_round(int argc, VALUE *argv, VALUE num)
static VALUE num_step_size(VALUE from, VALUE args)
VALUE rb_rational_reciprocal(VALUE x)
static VALUE fix_uminus(VALUE num)
static VALUE fix_lt(VALUE x, VALUE y)
RUBY_EXTERN const union bytesequence4_or_float rb_nan
static VALUE fix_odd_p(VALUE num)
static VALUE num_truncate(VALUE num)
static VALUE num_int_p(VALUE num)
void rb_define_alias(VALUE klass, const char *name1, const char *name2)
Defines an alias of a method.
VALUE rb_big_minus(VALUE x, VALUE y)
VALUE rb_str_resize(VALUE, long)
static VALUE fix_even_p(VALUE num)
static VALUE int_dotimes_size(VALUE num)
SSL_METHOD *(* func)(void)
#define rb_rational_raw1(x)
long rb_fix2int(VALUE val)
VALUE rb_big_div(VALUE x, VALUE y)
#define rb_enc_mbcput(c, buf, enc)
int rb_enc_precise_mbclen(const char *p, const char *e, rb_encoding *enc)
static VALUE fix_aref(VALUE fix, VALUE idx)
static VALUE fix_and(VALUE x, VALUE y)
int rb_scan_args(int argc, const VALUE *argv, const char *fmt,...)
unsigned char buf[MIME_BUF_SIZE]
VALUE rb_assoc_new(VALUE car, VALUE cdr)
static VALUE num_divmod(VALUE x, VALUE y)
VALUE rb_num_coerce_cmp(VALUE x, VALUE y, ID func)
static VALUE fix_cmp(VALUE x, VALUE y)
VALUE rb_big_mul(VALUE x, VALUE y)
static VALUE flo_is_finite_p(VALUE num)
void rb_out_of_short(SIGNED_VALUE num)
static VALUE num_quo(VALUE x, VALUE y)
static void coerce_failed(VALUE x, VALUE y)
char * strchr(char *, char)
void rb_undef_alloc_func(VALUE)
static VALUE flo_gt(VALUE x, VALUE y)
static VALUE num_cmp(VALUE x, VALUE y)
static VALUE int_round_0(VALUE num, int ndigits)
RUBY_EXTERN int isinf(double)
VALUE rb_complex_new(VALUE x, VALUE y)
static VALUE fix_succ(VALUE num)
#define MUL_OVERFLOW_FIXNUM_P(a, b)
static VALUE int_pow(long x, unsigned long y)
static VALUE int_int_p(VALUE num)
static VALUE flo_coerce(VALUE x, VALUE y)
static VALUE int_downto_size(VALUE from, VALUE args)
static VALUE flo_round(int argc, VALUE *argv, VALUE num)
static VALUE fix_ge(VALUE x, VALUE y)
#define NEWOBJ_OF(obj, type, klass, flags)
VALUE rb_str_cat(VALUE, const char *, long)
#define RETURN_SIZED_ENUMERATOR(obj, argc, argv, size_fn)
static VALUE flo_minus(VALUE x, VALUE y)
static VALUE flo_eq(VALUE x, VALUE y)
static VALUE num_eql(VALUE x, VALUE y)
long rb_num2int(VALUE val)
static VALUE num_div(VALUE x, VALUE y)
static VALUE int_to_i(VALUE num)
static VALUE num_init_copy(VALUE x, VALUE y)
VALUE num_interval_step_size(VALUE from, VALUE to, VALUE step, int excl)
st_index_t rb_memhash(const void *ptr, long len)
static VALUE fix_mod(VALUE x, VALUE y)
VALUE rb_str_catf(VALUE str, const char *format,...)
RUBY_EXTERN VALUE rb_cObject
VALUE rb_big_norm(VALUE x)
VALUE rb_big_lshift(VALUE x, VALUE y)
SIGNED_VALUE rb_num2long(VALUE val)
#define ULONG_MAX_PLUS_ONE
VALUE rb_float_new_in_heap(double d)
static Bigint * diff(Bigint *a, Bigint *b)
VALUE rb_big_or(VALUE xx, VALUE yy)
static VALUE flo_div(VALUE x, VALUE y)
#define method_basic_p(klass)
int rb_respond_to(VALUE, ID)
static VALUE int_ord(VALUE num)
static VALUE flo_floor(VALUE num)
VALUE rb_big_pow(VALUE x, VALUE y)
int rb_num_to_uint(VALUE val, unsigned int *ret)
static VALUE num_uminus(VALUE num)
VALUE rb_int2big(SIGNED_VALUE n)
static unsigned int hash(const char *str, unsigned int len)
static VALUE flo_le(VALUE x, VALUE y)
VALUE rb_integer_float_eq(VALUE x, VALUE y)
VALUE rb_str_new(const char *, long)
NORETURN(static void coerce_failed(VALUE x, VALUE y))
VALUE rb_int_succ(VALUE num)
static VALUE fix_lshift(long, unsigned long)
#define rb_check_arity(argc, min, max)
rb_encoding * rb_ascii8bit_encoding(void)
#define ONIGERR_INVALID_CODE_POINT_VALUE
static VALUE flo_is_infinite_p(VALUE num)
static VALUE flo_eql(VALUE x, VALUE y)
static VALUE flo_mod(VALUE x, VALUE y)
static VALUE flo_mul(VALUE x, VALUE y)
VALUE rb_big_rshift(VALUE x, VALUE y)
static VALUE num_round(int argc, VALUE *argv, VALUE num)
static VALUE fix_abs(VALUE fix)
VALUE rb_enc_uint_chr(unsigned int code, rb_encoding *enc)
static VALUE rb_fix_lshift(VALUE x, VALUE y)
static VALUE flo_uminus(VALUE flt)
void rb_define_method(VALUE klass, const char *name, VALUE(*func)(ANYARGS), int argc)
static VALUE num_sadded(VALUE x, VALUE name)
static void flodivmod(double x, double y, double *divp, double *modp)
static VALUE fix_divmod(VALUE x, VALUE y)
static void fixdivmod(long x, long y, long *divp, long *modp)
void rb_cmperr(VALUE x, VALUE y)
VALUE rb_usascii_str_new_cstr(const char *)
static VALUE fix_rev(VALUE num)
static VALUE fix_to_f(VALUE num)
VALUE rb_num_coerce_bin(VALUE x, VALUE y, ID func)
char * ruby_dtoa(double d_, int mode, int ndigits, int *decpt, int *sign, char **rve)
static VALUE num_nonzero_p(VALUE num)