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mruby-mruby/src/numeric.c
T
Yukihiro "Matz" Matsumoto 89830296eb numeric.c (int_round): n may not be a bigint 
`mrb_bint_add()` expects its first operand to be a bigint.
2022-12-24 19:20:37 +09:00

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/*
** numeric.c - Numeric, Integer, Float class
**
** See Copyright Notice in mruby.h
*/
#include <mruby.h>
#include <mruby/array.h>
#include <mruby/numeric.h>
#include <mruby/string.h>
#include <mruby/class.h>
#include <mruby/internal.h>
#include <mruby/presym.h>
#include <string.h>
#ifndef MRB_NO_FLOAT
#ifdef MRB_USE_FLOAT32
#define trunc(f) truncf(f)
#define fmod(x,y) fmodf(x,y)
#else
#endif
#endif
mrb_noreturn void
mrb_int_overflow(mrb_state *mrb, const char *reason)
{
mrb_raisef(mrb, E_RANGE_ERROR, "integer overflow in %s", reason);
}
mrb_noreturn void
mrb_int_zerodiv(mrb_state *mrb)
{
mrb_raise(mrb, E_ZERODIV_ERROR, "divided by 0");
}
static mrb_noreturn void
mrb_int_noconv(mrb_state *mrb, mrb_value y)
{
mrb_raisef(mrb, E_TYPE_ERROR, "can't convert %Y into Integer", y);
}
mrb_value
mrb_int_pow(mrb_state *mrb, mrb_value x, mrb_value y)
{
#ifdef MRB_USE_BIGINT
if (mrb_bigint_p(x)) {
#ifndef MRB_NO_FLOAT
if (mrb_float_p(y)) {
return mrb_float_value(mrb, pow(mrb_bint_as_float(mrb, x), mrb_float(y)));
}
#endif
return mrb_bint_pow(mrb, x, y);
}
#endif
mrb_int base = mrb_integer(x);
mrb_int result = 1;
mrb_int exp;
#ifndef MRB_NO_FLOAT
if (mrb_float_p(y)) {
return mrb_float_value(mrb, pow((double)base, mrb_float(y)));
}
else if (mrb_integer_p(y)) {
exp = mrb_integer(y);
}
else
#endif
{
mrb_get_args(mrb, "i", &exp);
}
if (exp < 0) {
#ifndef MRB_NO_FLOAT
return mrb_float_value(mrb, pow((double)base, (double)exp));
#else
mrb_int_overflow(mrb, "negative power");
#endif
}
for (;;) {
if (exp & 1) {
if (mrb_int_mul_overflow(result, base, &result)) {
#ifdef MRB_USE_BIGINT
return mrb_bint_pow(mrb, mrb_bint_new_int(mrb, mrb_integer(x)), y);
#else
mrb_int_overflow(mrb, "power");
#endif
}
}
exp >>= 1;
if (exp == 0) break;
if (mrb_int_mul_overflow(base, base, &base)) {
#ifdef MRB_USE_BIGINT
return mrb_bint_pow(mrb, mrb_bint_new_int(mrb, mrb_integer(x)), y);
#else
mrb_int_overflow(mrb, "power");
#endif
}
}
return mrb_int_value(mrb, result);
}
/*
* call-seq:
*
* num ** other -> num
*
* Raises <code>num</code> the <code>other</code> power.
*
* 2.0**3 #=> 8.0
*/
static mrb_value
int_pow(mrb_state *mrb, mrb_value x)
{
return mrb_int_pow(mrb, x, mrb_get_arg1(mrb));
}
mrb_int
mrb_div_int(mrb_int x, mrb_int y)
{
mrb_int div = x / y;
if ((x ^ y) < 0 && x != div * y) {
div -= 1;
}
return div;
}
mrb_value
mrb_div_int_value(mrb_state *mrb, mrb_int x, mrb_int y)
{
if (y == 0) {
mrb_int_zerodiv(mrb);
}
else if(x == MRB_INT_MIN && y == -1) {
#ifdef MRB_USE_BIGINT
return mrb_bint_mul_ii(mrb, x, y);
#else
mrb_int_overflow(mrb, "division");
#endif
}
return mrb_int_value(mrb, mrb_div_int(x, y));
}
/* 15.2.8.3.6 */
/*
* call-seq:
* int / num -> num
*
* Performs division: the class of the resulting object depends on
* the class of <code>num</code> and on the magnitude of the
* result.
*/
static mrb_value
int_div(mrb_state *mrb, mrb_value x)
{
mrb_value y = mrb_get_arg1(mrb);
#ifdef MRB_USE_BIGINT
if (mrb_bigint_p(x)) {
return mrb_bint_div(mrb, x, y);
}
#endif
mrb_int a = mrb_integer(x);
if (mrb_integer_p(y)) {
return mrb_div_int_value(mrb, a, mrb_integer(y));
}
switch (mrb_type(y)) {
#ifdef MRB_USE_BIGINT
case MRB_TT_BIGINT:
return mrb_bint_div(mrb, mrb_bint_new_int(mrb, a), y);
#endif
#ifdef MRB_USE_RATIONAL
case MRB_TT_RATIONAL:
return mrb_rational_div(mrb, mrb_rational_new(mrb, a, 1), y);
#endif
#ifdef MRB_USE_COMPLEX
case MRB_TT_COMPLEX:
x = mrb_complex_new(mrb, (mrb_float)a, 0);
return mrb_complex_div(mrb, x, y);
#endif
#ifndef MRB_NO_FLOAT
case MRB_TT_FLOAT:
return mrb_float_value(mrb, mrb_div_float((mrb_float)a, mrb_as_float(mrb, y)));
#endif
default:
mrb_int_noconv(mrb, y);
}
}
/* 15.2.9.3.19(x) */
/*
* call-seq:
* num.quo(numeric) -> real
*
* Returns most exact division.
*/
/*
* call-seq:
* int.div(other) -> int
*
* Performs division: resulting integer.
*/
static mrb_value
int_idiv(mrb_state *mrb, mrb_value x)
{
#ifdef MRB_USE_BIGINT
if (mrb_bigint_p(x)) {
return mrb_bint_div(mrb, x, mrb_get_arg1(mrb));
}
#endif
mrb_int y;
mrb_get_args(mrb, "i", &y);
return mrb_div_int_value(mrb, mrb_integer(x), y);
}
static mrb_value
int_quo(mrb_state *mrb, mrb_value x)
{
#ifndef MRB_USE_RATIONAL
#ifdef MRB_NO_FLOAT
return int_idiv(mrb, x);
#else
mrb_float y;
mrb_get_args(mrb, "f", &y);
if (y == 0) {
mrb_int_zerodiv(mrb);
}
#ifdef MRB_USE_BIGINT
if (mrb_bigint_p(x)) {
return mrb_float_value(mrb, mrb_bint_as_float(mrb, x) / y);
}
#endif
return mrb_float_value(mrb, mrb_integer(x) / y);
#endif
#else
mrb_int a = mrb_integer(x);
mrb_value y = mrb_get_arg1(mrb);
if (mrb_integer_p(y) && mrb_class_defined_id(mrb, MRB_SYM(Rational))) {
return mrb_rational_new(mrb, a, mrb_integer(y));
}
switch (mrb_type(y)) {
case MRB_TT_RATIONAL:
x = mrb_rational_new(mrb, a, 1);
return mrb_rational_div(mrb, x, y);
default:
#ifndef MRB_NO_FLOAT
return mrb_float_value(mrb, mrb_div_float((mrb_float)a, mrb_as_float(mrb, y)));
#else
mrb_int_noconv(mrb, y);
break;
#endif
}
#endif
}
static mrb_value
coerce_step_counter(mrb_state *mrb, mrb_value self)
{
mrb_value num, step;
mrb_get_args(mrb, "oo", &num, &step);
#ifndef MRB_NO_FLOAT
mrb->c->ci->mid = 0;
if (mrb_float_p(num) || mrb_float_p(step)) {
return mrb_ensure_float_type(mrb, self);
}
#endif
return self;
}
#ifndef MRB_NO_FLOAT
/********************************************************************
*
* Document-class: Float
*
* <code>Float</code> objects represent inexact real numbers using
* the native architecture's double-precision floating-point
* representation.
*/
static mrb_value
flo_pow(mrb_state *mrb, mrb_value x)
{
mrb_value y = mrb_get_arg1(mrb);
mrb_float d = pow(mrb_as_float(mrb, x), mrb_as_float(mrb, y));
return mrb_float_value(mrb, d);
}
static mrb_value
flo_idiv(mrb_state *mrb, mrb_value xv)
{
mrb_int y;
mrb_get_args(mrb, "i", &y);
return mrb_div_int_value(mrb, (mrb_int)mrb_float(xv), y);
}
mrb_float
mrb_div_float(mrb_float x, mrb_float y)
{
if (y != 0.0) {
return x / y;
}
else if (x == 0.0) {
return NAN;
}
else {
return x * (signbit(y) ? -1.0 : 1.0) * INFINITY;
}
}
/* 15.2.9.3.6 */
/*
* call-seq:
* float / num -> float
*
* Returns a new Float which is the result of dividing float by num.
*/
static mrb_value
flo_div(mrb_state *mrb, mrb_value x)
{
mrb_value y = mrb_get_arg1(mrb);
mrb_float a = mrb_float(x);
switch(mrb_type(y)) {
#ifdef MRB_USE_COMPLEX
case MRB_TT_COMPLEX:
return mrb_complex_div(mrb, mrb_complex_new(mrb, a, 0), y);
#endif
case MRB_TT_FLOAT:
a = mrb_div_float(a, mrb_float(y));
return mrb_float_value(mrb, a);
default:
a = mrb_div_float(a, mrb_as_float(mrb, y));
return mrb_float_value(mrb, a);
}
return mrb_float_value(mrb, a);
}
/* the argument `fmt` is no longer used; you can pass `NULL` */
mrb_value
mrb_float_to_str(mrb_state *mrb, mrb_value flo, const char *fmt)
{
char buf[25];
#ifdef MRB_USE_FLOAT32
const int prec = 7;
#else
const int prec = 15;
#endif
mrb_format_float(mrb_float(flo), buf, sizeof(buf), 'g', prec, '\0');
for (char *p = buf; *p; p++) {
if (*p == '.') goto exit;
if (*p == 'e') {
memmove(p+2, p, strlen(p)+1);
memcpy(p, ".0", 2);
goto exit;
}
}
strcat(buf, ".0");
exit:
return mrb_str_new_cstr(mrb, buf);
}
/* 15.2.9.3.16(x) */
/*
* call-seq:
* flt.to_s -> string
* flt.inspect -> string
*
* Returns a string containing a representation of self. As well as a
* fixed or exponential form of the number, the call may return
* "<code>NaN</code>", "<code>Infinity</code>", and
* "<code>-Infinity</code>".
*
* 3.0.to_s #=> 3.0
* 3.25.to_s #=> 3.25
*/
static mrb_value
flo_to_s(mrb_state *mrb, mrb_value flt)
{
mrb_float f = mrb_float(flt);
mrb_value str;
if (isinf(f)) {
str = f < 0 ? mrb_str_new_lit(mrb, "-Infinity")
: mrb_str_new_lit(mrb, "Infinity");
}
else if (isnan(f)) {
str = mrb_str_new_lit(mrb, "NaN");
}
else {
str = mrb_float_to_str(mrb, flt, NULL);
}
RSTR_SET_ASCII_FLAG(mrb_str_ptr(str));
return str;
}
/* 15.2.9.3.3 */
/*
* call-seq:
* float + other -> float
*
* Returns a new float which is the sum of <code>float</code>
* and <code>other</code>.
*/
static mrb_value
flo_add(mrb_state *mrb, mrb_value x)
{
mrb_value y = mrb_get_arg1(mrb);
mrb_float a = mrb_float(x);
switch (mrb_type(y)) {
case MRB_TT_FLOAT:
return mrb_float_value(mrb, a + mrb_float(y));
#if defined(MRB_USE_COMPLEX)
case MRB_TT_COMPLEX:
return mrb_complex_add(mrb, y, x);
#endif
default:
return mrb_float_value(mrb, a + mrb_as_float(mrb, y));
}
}
/* 15.2.9.3.4 */
/*
* call-seq:
* float - other -> float
*
* Returns a new float which is the difference of <code>float</code>
* and <code>other</code>.
*/
static mrb_value
flo_sub(mrb_state *mrb, mrb_value x)
{
mrb_value y = mrb_get_arg1(mrb);
mrb_float a = mrb_float(x);
switch (mrb_type(y)) {
case MRB_TT_FLOAT:
return mrb_float_value(mrb, a - mrb_float(y));
#if defined(MRB_USE_COMPLEX)
case MRB_TT_COMPLEX:
return mrb_complex_sub(mrb, mrb_complex_new(mrb, a, 0), y);
#endif
default:
return mrb_float_value(mrb, a - mrb_as_float(mrb, y));
}
}
/* 15.2.9.3.5 */
/*
* call-seq:
* float * other -> float
*
* Returns a new float which is the product of <code>float</code>
* and <code>other</code>.
*/
static mrb_value
flo_mul(mrb_state *mrb, mrb_value x)
{
mrb_value y = mrb_get_arg1(mrb);
mrb_float a = mrb_float(x);
switch (mrb_type(y)) {
case MRB_TT_FLOAT:
return mrb_float_value(mrb, a * mrb_float(y));
#if defined(MRB_USE_COMPLEX)
case MRB_TT_COMPLEX:
return mrb_complex_mul(mrb, y, x);
#endif
default:
return mrb_float_value(mrb, a * mrb_as_float(mrb, y));
}
}
static void
flodivmod(mrb_state *mrb, double x, double y, mrb_float *divp, mrb_float *modp)
{
double div, mod;
if (isnan(y)) {
/* y is NaN so all results are NaN */
div = mod = y;
goto exit;
}
if (y == 0.0) {
mrb_int_zerodiv(mrb);
}
if (isinf(y) && !isinf(x)) {
mod = x;
}
else {
mod = fmod(x, y);
}
if (isinf(x) && !isinf(y)) {
div = x;
}
else {
div = (x - mod) / y;
if (modp && divp) div = round(div);
}
if (div == 0) div = 0.0;
if (mod == 0) mod = 0.0;
if (y*mod < 0) {
mod += y;
div -= 1.0;
}
exit:
if (modp) *modp = mod;
if (divp) *divp = div;
}
/* 15.2.9.3.5 */
/*
* call-seq:
* flt % other -> float
* flt.modulo(other) -> float
*
* Return the modulo after division of <code>flt</code> by <code>other</code>.
*
* 6543.21.modulo(137) #=> 104.21
* 6543.21.modulo(137.24) #=> 92.9299999999996
*/
static mrb_value
flo_mod(mrb_state *mrb, mrb_value x)
{
mrb_value y = mrb_get_arg1(mrb);
mrb_float mod;
flodivmod(mrb, mrb_float(x), mrb_as_float(mrb, y), 0, &mod);
return mrb_float_value(mrb, mod);
}
#endif
/* 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_arg1(mrb);
#ifdef MRB_USE_BIGINT
if (mrb_bigint_p(x)) {
return mrb_bool_value(mrb_bint_cmp(mrb, x, y) == 0);
}
#endif
#ifndef MRB_NO_FLOAT
if (mrb_float_p(x)) {
if (!mrb_float_p(y)) return mrb_false_value();
return mrb_bool_value(mrb_float(x) == mrb_float(y));
}
#endif
if (mrb_integer_p(x)) {
if (!mrb_integer_p(y)) return mrb_false_value();
return mrb_bool_value(mrb_integer(x) == mrb_integer(y));
}
return mrb_bool_value(mrb_equal(mrb, x, y));
}
#ifndef MRB_NO_FLOAT
/* 15.2.9.3.7 */
/*
* call-seq:
* flt == obj -> true or false
*
* Returns <code>true</code> only if <i>obj</i> has the same value
* as <i>flt</i>. Contrast this with <code>Float#eql?</code>, which
* requires <i>obj</i> to be a <code>Float</code>.
*
* 1.0 == 1 #=> true
*
*/
static mrb_value
flo_eq(mrb_state *mrb, mrb_value x)
{
mrb_value y = mrb_get_arg1(mrb);
switch (mrb_type(y)) {
case MRB_TT_INTEGER:
return mrb_bool_value(mrb_float(x) == (mrb_float)mrb_integer(y));
case MRB_TT_FLOAT:
return mrb_bool_value(mrb_float(x) == mrb_float(y));
#ifdef MRB_USE_RATIONAL
case MRB_TT_RATIONAL:
return mrb_bool_value(mrb_float(x) == mrb_as_float(mrb, y));
#endif
#ifdef MRB_USE_COMPLEX
case MRB_TT_COMPLEX:
return mrb_bool_value(mrb_equal(mrb, y, x));
#endif
default:
return mrb_false_value();
}
}
static int64_t
value_int64(mrb_state *mrb, mrb_value x)
{
switch (mrb_type(x)) {
case MRB_TT_INTEGER:
return (int64_t)mrb_integer(x);
case MRB_TT_FLOAT:
{
double f = mrb_float(x);
if ((mrb_float)INT64_MAX >= f && f >= (mrb_float)INT64_MIN)
return (int64_t)f;
}
default:
mrb_raise(mrb, E_TYPE_ERROR, "cannot convert to Integer");
break;
}
/* not reached */
return 0;
}
static mrb_value
int64_value(mrb_state *mrb, int64_t v)
{
if (!TYPED_FIXABLE(v,int64_t)) {
mrb_int_overflow(mrb, "bit operation");
}
return mrb_fixnum_value((mrb_int)v);
}
static mrb_value
flo_rev(mrb_state *mrb, mrb_value x)
{
int64_t v1 = value_int64(mrb, x);
return int64_value(mrb, ~v1);
}
static mrb_value
flo_and(mrb_state *mrb, mrb_value x)
{
mrb_value y = mrb_get_arg1(mrb);
int64_t v1, v2;
v1 = value_int64(mrb, x);
v2 = value_int64(mrb, y);
return int64_value(mrb, v1 & v2);
}
static mrb_value
flo_or(mrb_state *mrb, mrb_value x)
{
mrb_value y = mrb_get_arg1(mrb);
int64_t v1, v2;
v1 = value_int64(mrb, x);
v2 = value_int64(mrb, y);
return int64_value(mrb, v1 | v2);
}
static mrb_value
flo_xor(mrb_state *mrb, mrb_value x)
{
mrb_value y = mrb_get_arg1(mrb);
int64_t v1, v2;
v1 = value_int64(mrb, x);
v2 = value_int64(mrb, y);
return int64_value(mrb, v1 ^ v2);
}
static mrb_value
flo_shift(mrb_state *mrb, mrb_value x, mrb_int width)
{
mrb_float val;
if (width == 0) {
return x;
}
val = mrb_float(x);
if (width < -MRB_INT_BIT/2) {
if (val < 0) return mrb_fixnum_value(-1);
return mrb_fixnum_value(0);
}
if (width < 0) {
while (width++) {
val /= 2;
if (val < 1.0) {
val = 0;
break;
}
}
#if defined(_ISOC99_SOURCE)
val = trunc(val);
#else
if (val > 0){
val = floor(val);
} else {
val = ceil(val);
}
#endif
if (val == 0 && mrb_float(x) < 0) {
return mrb_fixnum_value(-1);
}
}
else {
while (width--) {
val *= 2;
}
}
if (FIXABLE_FLOAT(val))
return mrb_int_value(mrb, (mrb_int)val);
return mrb_float_value(mrb, val);
}
static mrb_value
flo_rshift(mrb_state *mrb, mrb_value x)
{
mrb_int width;
mrb_get_args(mrb, "i", &width);
if (width == MRB_INT_MIN) return flo_shift(mrb, x, -MRB_INT_BIT);
return flo_shift(mrb, x, -width);
}
static mrb_value
flo_lshift(mrb_state *mrb, mrb_value x)
{
mrb_int width;
mrb_get_args(mrb, "i", &width);
return flo_shift(mrb, x, width);
}
/* 15.2.9.3.13 */
/*
* call-seq:
* flt.to_f -> self
*
* As <code>flt</code> is already a float, returns +self+.
*/
static mrb_value
flo_to_f(mrb_state *mrb, mrb_value num)
{
return num;
}
/* 15.2.9.3.11 */
/*
* call-seq:
* flt.infinite? -> nil, -1, +1
*
* Returns <code>nil</code>, -1, or +1 depending on whether <i>flt</i>
* is finite, -infinity, or +infinity.
*
* (0.0).infinite? #=> nil
* (-1.0/0.0).infinite? #=> -1
* (+1.0/0.0).infinite? #=> 1
*/
static mrb_value
flo_infinite_p(mrb_state *mrb, mrb_value num)
{
mrb_float value = mrb_float(num);
if (isinf(value)) {
return mrb_fixnum_value(value < 0 ? -1 : 1);
}
return mrb_nil_value();
}
/* 15.2.9.3.9 */
/*
* call-seq:
* flt.finite? -> true or false
*
* Returns <code>true</code> if <i>flt</i> is a valid IEEE floating
* point number (it is not infinite, and <code>nan?</code> is
* <code>false</code>).
*
*/
static mrb_value
flo_finite_p(mrb_state *mrb, mrb_value num)
{
return mrb_bool_value(isfinite(mrb_float(num)));
}
/*
* 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_i
*
* <em>raises the exception:</em>
*
* FloatDomainError: Infinity
*/
/* ------------------------------------------------------------------------*/
void
mrb_check_num_exact(mrb_state *mrb, mrb_float num)
{
if (isinf(num)) {
mrb_raise(mrb, E_FLOATDOMAIN_ERROR, num < 0 ? "-Infinity" : "Infinity");
}
if (isnan(num)) {
mrb_raise(mrb, E_FLOATDOMAIN_ERROR, "NaN");
}
}
static mrb_value
flo_rounding_int(mrb_state *mrb, mrb_float f)
{
if (!FIXABLE_FLOAT(f)) {
#ifdef MRB_USE_BIGINT
return mrb_bint_new_float(mrb, f);
#else
mrb_int_overflow(mrb, "rounding");
#endif
}
return mrb_int_value(mrb, (mrb_int)f);
}
static mrb_value
flo_rounding(mrb_state *mrb, mrb_value num, double (*func)(double))
{
mrb_float f = mrb_float(num);
mrb_int ndigits = 0;
#ifdef MRB_USE_FLOAT32
const int fprec = 7;
#else
const int fprec = 15;
#endif
mrb_get_args(mrb, "|i", &ndigits);
if (f == 0.0) {
return ndigits > 0 ? mrb_float_value(mrb, f) : mrb_fixnum_value(0);
}
if (ndigits > 0) {
if (ndigits > fprec) return num;
mrb_float d = pow(10, (double)ndigits);
f = func(f * d) / d;
mrb_check_num_exact(mrb, f);
return mrb_float_value(mrb, f);
}
if (ndigits < 0) {
mrb_float d = pow(10, -(double)ndigits);
f = func(f / d) * d;
}
else { /* ndigits == 0 */
f = func(f);
}
mrb_check_num_exact(mrb, f);
return flo_rounding_int(mrb, f);
}
/* 15.2.9.3.10 */
/*
* call-seq:
* float.floor([ndigits]) -> integer or float
*
* Returns the largest number less than or equal to +float+ with
* a precision of +ndigits+ decimal digits (default: 0).
*
* When the precision is negative, the returned value is an integer
* with at least <code>ndigits.abs</code> trailing zeros.
*
* Returns a floating-point number when +ndigits+ is positive,
* otherwise returns an integer.
*
* 1.2.floor #=> 1
* 2.0.floor #=> 2
* (-1.2).floor #=> -2
* (-2.0).floor #=> -2
*
* 1.234567.floor(2) #=> 1.23
* 1.234567.floor(3) #=> 1.234
* 1.234567.floor(4) #=> 1.2345
* 1.234567.floor(5) #=> 1.23456
*
* 34567.89.floor(-5) #=> 0
* 34567.89.floor(-4) #=> 30000
* 34567.89.floor(-3) #=> 34000
* 34567.89.floor(-2) #=> 34500
* 34567.89.floor(-1) #=> 34560
* 34567.89.floor(0) #=> 34567
* 34567.89.floor(1) #=> 34567.8
* 34567.89.floor(2) #=> 34567.89
* 34567.89.floor(3) #=> 34567.89
*
* Note that the limited precision of floating-point arithmetic
* might lead to surprising results:
*
* (0.3 / 0.1).floor #=> 2 (!)
*/
static mrb_value
flo_floor(mrb_state *mrb, mrb_value num)
{
return flo_rounding(mrb, num, floor);
}
/* 15.2.9.3.8 */
/*
* call-seq:
* float.ceil([ndigits]) -> integer or float
*
* Returns the smallest number greater than or equal to +float+ with
* a precision of +ndigits+ decimal digits (default: 0).
*
* When the precision is negative, the returned value is an integer
* with at least <code>ndigits.abs</code> trailing zeros.
*
* Returns a floating-point number when +ndigits+ is positive,
* otherwise returns an integer.
*
* 1.2.ceil #=> 2
* 2.0.ceil #=> 2
* (-1.2).ceil #=> -1
* (-2.0).ceil #=> -2
*
* 1.234567.ceil(2) #=> 1.24
* 1.234567.ceil(3) #=> 1.235
* 1.234567.ceil(4) #=> 1.2346
* 1.234567.ceil(5) #=> 1.23457
*
* 34567.89.ceil(-5) #=> 100000
* 34567.89.ceil(-4) #=> 40000
* 34567.89.ceil(-3) #=> 35000
* 34567.89.ceil(-2) #=> 34600
* 34567.89.ceil(-1) #=> 34570
* 34567.89.ceil(0) #=> 34568
* 34567.89.ceil(1) #=> 34567.9
* 34567.89.ceil(2) #=> 34567.89
* 34567.89.ceil(3) #=> 34567.89
*
* Note that the limited precision of floating-point arithmetic
* might lead to surprising results:
*
* (2.1 / 0.7).ceil #=> 4 (!)
*/
static mrb_value
flo_ceil(mrb_state *mrb, mrb_value num)
{
return flo_rounding(mrb, num, ceil);
}
/* 15.2.9.3.12 */
/*
* call-seq:
* flt.round([ndigits]) -> integer or float
*
* Rounds <i>flt</i> to a given precision in decimal digits (default 0 digits).
* Precision may be negative. Returns a floating-point number when ndigits
* is more than zero.
*
* 1.4.round #=> 1
* 1.5.round #=> 2
* 1.6.round #=> 2
* (-1.5).round #=> -2
*
* 1.234567.round(2) #=> 1.23
* 1.234567.round(3) #=> 1.235
* 1.234567.round(4) #=> 1.2346
* 1.234567.round(5) #=> 1.23457
*
* 34567.89.round(-5) #=> 0
* 34567.89.round(-4) #=> 30000
* 34567.89.round(-3) #=> 35000
* 34567.89.round(-2) #=> 34600
* 34567.89.round(-1) #=> 34570
* 34567.89.round(0) #=> 34568
* 34567.89.round(1) #=> 34567.9
* 34567.89.round(2) #=> 34567.89
* 34567.89.round(3) #=> 34567.89
*
*/
static mrb_value
flo_round(mrb_state *mrb, mrb_value num)
{
double number, f;
mrb_int ndigits = 0;
mrb_int i;
mrb_get_args(mrb, "|i", &ndigits);
number = mrb_float(num);
if (0 < ndigits && (isinf(number) || isnan(number))) {
return num;
}
mrb_check_num_exact(mrb, number);
f = 1.0;
if (ndigits < -DBL_DIG-2) return mrb_fixnum_value(0);
i = ndigits >= 0 ? ndigits : -ndigits;
if (ndigits > DBL_DIG+2) return num;
while (--i >= 0)
f = f*10.0;
if (isinf(f)) {
if (ndigits < 0) number = 0;
}
else {
double d;
if (ndigits < 0) number /= f;
else number *= f;
/* home-made inline implementation of round(3) */
if (number > 0.0) {
d = floor(number);
number = d + (number - d >= 0.5);
}
else if (number < 0.0) {
d = ceil(number);
number = d - (d - number >= 0.5);
}
if (ndigits < 0) number *= f;
else number /= f;
}
if (ndigits > 0) {
if (!isfinite(number)) return num;
return mrb_float_value(mrb, number);
}
if (!FIXABLE_FLOAT(number))
return mrb_float_value(mrb, number);
return mrb_int_value(mrb, (mrb_int)number);
}
/* 15.2.9.3.14 */
static mrb_value
flo_to_i(mrb_state *mrb, mrb_value num)
{
mrb_float f = mrb_float(num);
mrb_check_num_exact(mrb, f);
if (!FIXABLE_FLOAT(f)) {
#ifdef MRB_USE_BIGINT
return mrb_bint_new_float(mrb, f);
#else
mrb_int_overflow(mrb, "to_f");
#endif
}
if (f > 0.0) f = floor(f);
if (f < 0.0) f = ceil(f);
return mrb_int_value(mrb, (mrb_int)f);
}
/* 15.2.9.3.15 */
/*
* call-seq:
* flt.to_i -> 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)
{
if (signbit(mrb_float(num))) return flo_ceil(mrb, num);
return flo_floor(mrb, num);
}
static mrb_value
flo_nan_p(mrb_state *mrb, mrb_value num)
{
return mrb_bool_value(isnan(mrb_float(num)));
}
static mrb_value
flo_abs(mrb_state *mrb, mrb_value num)
{
mrb_float f = mrb_float(num);
if (signbit(f)) return mrb_float_value(mrb, -f);
return num;
}
#endif
/*
* Document-class: Integer
*
* <code>Integer</code> is hold whole numbers.
*
*/
/* 15.2.9.3.24 */
/*
* call-seq:
* int.to_i -> integer
*
* As <i>int</i> is already an <code>Integer</code>, all these
* methods simply return the receiver.
*/
static mrb_value
int_to_i(mrb_state *mrb, mrb_value num)
{
return num;
}
mrb_value
mrb_int_mul(mrb_state *mrb, mrb_value x, mrb_value y)
{
mrb_int a;
a = mrb_integer(x);
if (mrb_integer_p(y)) {
mrb_int b, c;
if (a == 0) return x;
if (a == 1) return y;
b = mrb_integer(y);
if (b == 0) return y;
if (b == 1) return x;
if (mrb_int_mul_overflow(a, b, &c)) {
#ifdef MRB_USE_BIGINT
x = mrb_bint_new_int(mrb, a);
return mrb_bint_mul(mrb, x, y);
#else
mrb_int_overflow(mrb, "multiplication");
#endif
}
return mrb_int_value(mrb, c);
}
switch (mrb_type(y)) {
#ifdef MRB_USE_BIGINT
case MRB_TT_BIGINT:
if (a == 0) return x;
if (a == 1) return y;
return mrb_bint_mul(mrb, y, x);
#endif
#ifdef MRB_USE_RATIONAL
case MRB_TT_RATIONAL:
if (a == 0) return x;
if (a == 1) return y;
return mrb_rational_mul(mrb, y, x);
#endif
#ifdef MRB_USE_COMPLEX
case MRB_TT_COMPLEX:
if (a == 0) return x;
if (a == 1) return y;
return mrb_complex_mul(mrb, y, x);
#endif
#ifndef MRB_NO_FLOAT
case MRB_TT_FLOAT:
return mrb_float_value(mrb, (mrb_float)a * mrb_as_float(mrb, y));
#endif
default:
mrb_int_noconv(mrb, y);
}
}
/* 15.2.8.3.5 */
/*
* call-seq:
* int * 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
int_mul(mrb_state *mrb, mrb_value x)
{
mrb_value y = mrb_get_arg1(mrb);
#ifdef MRB_USE_BIGINT
if (mrb_bigint_p(x)) {
return mrb_bint_mul(mrb, x, y);
}
#endif
return mrb_int_mul(mrb, x, y);
}
static void
intdivmod(mrb_state *mrb, mrb_int x, mrb_int y, mrb_int *divp, mrb_int *modp)
{
if (y == 0) {
mrb_int_zerodiv(mrb);
}
else if(x == MRB_INT_MIN && y == -1) {
mrb_int_overflow(mrb, "division");
}
else {
mrb_int div = x / y;
mrb_int mod = x - div * y;
if ((x ^ y) < 0 && x != div * y) {
mod += y;
div -= 1;
}
if (divp) *divp = div;
if (modp) *modp = mod;
}
}
/* 15.2.8.3.7 */
/*
* call-seq:
* int % num -> num
*
* Returns <code>int</code> modulo <code>other</code>.
* See <code>numeric.divmod</code> for more information.
*/
static mrb_value
int_mod(mrb_state *mrb, mrb_value x)
{
mrb_value y = mrb_get_arg1(mrb);
mrb_int a, b;
#ifdef MRB_USE_BIGINT
if (mrb_bigint_p(x)) {
return mrb_bint_mod(mrb, x, y);
}
#endif
a = mrb_integer(x);
if (a == 0) return x;
if (mrb_integer_p(y)) {
b = mrb_integer(y);
if (b == 0) mrb_int_zerodiv(mrb);
if (a == MRB_INT_MIN && b == -1) return mrb_fixnum_value(0);
mrb_int mod = a % b;
if ((a < 0) != (b < 0) && mod != 0) {
mod += b;
}
return mrb_int_value(mrb, mod);
}
#ifdef MRB_NO_FLOAT
mrb_raise(mrb, E_TYPE_ERROR, "non integer modulo");
#else
mrb_float mod;
flodivmod(mrb, (mrb_float)a, mrb_as_float(mrb, y), NULL, &mod);
return mrb_float_value(mrb, mod);
#endif
}
#ifndef MRB_NO_FLOAT
static mrb_value flo_divmod(mrb_state *mrb, mrb_value x);
#endif
/*
* call-seq:
* int.divmod(numeric) -> array
*
* See <code>Numeric#divmod</code>.
*/
static mrb_value
int_divmod(mrb_state *mrb, mrb_value x)
{
mrb_value y = mrb_get_arg1(mrb);
#ifdef MRB_USE_BIGINT
if (mrb_bigint_p(x)) {
#ifndef MRB_NO_FLOAT
if (mrb_float_p(y)) {
mrb_float f = mrb_bint_as_float(mrb, x);
return flo_divmod(mrb, mrb_float_value(mrb, f));
}
#endif
return mrb_bint_divmod(mrb, x, y);
}
#endif
if (mrb_integer_p(y)) {
mrb_int div, mod;
intdivmod(mrb, mrb_integer(x), mrb_integer(y), &div, &mod);
return mrb_assoc_new(mrb, mrb_int_value(mrb, div), mrb_int_value(mrb, mod));
}
#ifdef MRB_NO_FLOAT
mrb_raise(mrb, E_TYPE_ERROR, "non integer divmod");
#else
return flo_divmod(mrb, x);
#endif
}
#ifndef MRB_NO_FLOAT
static mrb_value
flo_divmod(mrb_state *mrb, mrb_value x)
{
mrb_value y = mrb_get_arg1(mrb);
mrb_float div, mod;
mrb_value a, b;
flodivmod(mrb, mrb_float(x), mrb_as_float(mrb, y), &div, &mod);
if (!FIXABLE_FLOAT(div))
a = mrb_float_value(mrb, div);
else
a = mrb_int_value(mrb, (mrb_int)div);
b = mrb_float_value(mrb, mod);
return mrb_assoc_new(mrb, a, b);
}
#endif
/* 15.2.8.3.2 */
/*
* call-seq:
* int == other -> true or false
*
* Return <code>true</code> if <code>int</code> equals <code>other</code>
* numerically.
*
* 1 == 2 #=> false
* 1 == 1.0 #=> true
*/
static mrb_value
int_equal(mrb_state *mrb, mrb_value x)
{
mrb_value y = mrb_get_arg1(mrb);
switch (mrb_type(y)) {
case MRB_TT_INTEGER:
return mrb_bool_value(mrb_integer(x) == mrb_integer(y));
#ifndef MRB_NO_FLOAT
case MRB_TT_FLOAT:
return mrb_bool_value((mrb_float)mrb_integer(x) == mrb_float(y));
#endif
#ifdef MRB_USE_BIGINT
case MRB_TT_BIGINT:
return mrb_bool_value(mrb_bint_cmp(mrb, y, x) == 0);
#endif
#ifdef MRB_USE_RATIONAL
case MRB_TT_RATIONAL:
return mrb_bool_value(mrb_equal(mrb, y, x));
#endif
#ifdef MRB_USE_COMPLEX
case MRB_TT_COMPLEX:
return mrb_bool_value(mrb_equal(mrb, y, x));
#endif
default:
return mrb_false_value();
}
}
/* 15.2.8.3.8 */
/*
* call-seq:
* ~int -> 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
int_rev(mrb_state *mrb, mrb_value num)
{
mrb_int val = mrb_integer(num);
#ifdef MRB_USE_BIGINT
if (mrb_bigint_p(num)) {
mrb_bint_rev(mrb, num);
}
#endif
return mrb_int_value(mrb, ~val);
}
#ifdef MRB_NO_FLOAT
#define bit_op(x,y,op1,op2) do {\
return mrb_int_value(mrb, (mrb_integer(x) op2 mrb_integer(y)));\
} while(0)
#else
static mrb_value flo_and(mrb_state *mrb, mrb_value x);
static mrb_value flo_or(mrb_state *mrb, mrb_value x);
static mrb_value flo_xor(mrb_state *mrb, mrb_value x);
#define bit_op(x,y,op1,op2) do {\
if (mrb_integer_p(y)) return mrb_int_value(mrb, (mrb_integer(x) op2 mrb_integer(y))); \
return flo_ ## op1(mrb, mrb_float_value(mrb, (mrb_float)mrb_integer(x)));\
} while(0)
#endif
/* 15.2.8.3.9 */
/*
* call-seq:
* int & integer -> integer_result
*
* Bitwise AND.
*/
static mrb_value
int_and(mrb_state *mrb, mrb_value x)
{
mrb_value y = mrb_get_arg1(mrb);
#ifdef MRB_USE_BIGINT
if (mrb_bigint_p(x)) {
return mrb_bint_and(mrb, x, y);
}
if (mrb_bigint_p(y)) {
return mrb_bint_and(mrb, mrb_as_bint(mrb, x), y);
}
#endif
bit_op(x, y, and, &);
}
/* 15.2.8.3.10 */
/*
* call-seq:
* int | integer -> integer_result
*
* Bitwise OR.
*/
static mrb_value
int_or(mrb_state *mrb, mrb_value x)
{
mrb_value y = mrb_get_arg1(mrb);
#ifdef MRB_USE_BIGINT
if (mrb_bigint_p(x)) {
return mrb_bint_or(mrb, x, y);
}
if (mrb_bigint_p(y)) {
return mrb_bint_or(mrb, mrb_as_bint(mrb, x), y);
}
#endif
bit_op(x, y, or, |);
}
/* 15.2.8.3.11 */
/*
* call-seq:
* int ^ integer -> integer_result
*
* Bitwise EXCLUSIVE OR.
*/
static mrb_value
int_xor(mrb_state *mrb, mrb_value x)
{
mrb_value y = mrb_get_arg1(mrb);
#ifdef MRB_USE_BIGINT
if (mrb_bigint_p(x)) {
return mrb_bint_xor(mrb, x, y);
}
if (mrb_bigint_p(y)) {
return mrb_bint_xor(mrb, mrb_as_bint(mrb, x), y);
}
#endif
bit_op(x, y, or, ^);
}
#define NUMERIC_SHIFT_WIDTH_MAX (MRB_INT_BIT-1)
mrb_bool
mrb_num_shift(mrb_state *mrb, mrb_int val, mrb_int width, mrb_int *num)
{
if (width < 0) { /* rshift */
if (width == MRB_INT_MIN || -width >= NUMERIC_SHIFT_WIDTH_MAX) {
if (val < 0) {
*num = -1;
}
else {
*num = 0;
}
}
else {
*num = val >> -width;
}
}
else if (val > 0) {
if ((width > NUMERIC_SHIFT_WIDTH_MAX) ||
(val > (MRB_INT_MAX >> width))) {
return FALSE;
}
*num = val << width;
}
else {
if ((width > NUMERIC_SHIFT_WIDTH_MAX) ||
(val < (MRB_INT_MIN >> width))) {
return FALSE;
}
if (width == NUMERIC_SHIFT_WIDTH_MAX)
*num = MRB_INT_MIN;
else
*num = val * ((mrb_int)1 << width);
}
return TRUE;
}
/* 15.2.8.3.12 */
/*
* call-seq:
* int << count -> integer or float
*
* Shifts _int_ left _count_ positions (right if _count_ is negative).
*/
static mrb_value
int_lshift(mrb_state *mrb, mrb_value x)
{
mrb_int width, val;
mrb_get_args(mrb, "i", &width);
if (width == 0) {
return x;
}
if (width == MRB_INT_MIN) mrb_int_overflow(mrb, "bit shift");
#ifdef MRB_USE_BIGINT
if (mrb_bigint_p(x)) {
return mrb_bint_lshift(mrb, x, width);
}
#endif
val = mrb_integer(x);
if (val == 0) return x;
if (!mrb_num_shift(mrb, val, width, &val)) {
#ifdef MRB_USE_BIGINT
return mrb_bint_lshift(mrb, mrb_bint_new_int(mrb, val), width);
#else
mrb_int_overflow(mrb, "bit shift");
#endif
}
return mrb_int_value(mrb, val);
}
/* 15.2.8.3.13 */
/*
* call-seq:
* int >> count -> integer or float
*
* Shifts _int_ right _count_ positions (left if _count_ is negative).
*/
static mrb_value
int_rshift(mrb_state *mrb, mrb_value x)
{
mrb_int width, val;
mrb_get_args(mrb, "i", &width);
if (width == 0) {
return x;
}
if (width == MRB_INT_MIN) mrb_int_overflow(mrb, "bit shift");
#ifdef MRB_USE_BIGINT
if (mrb_bigint_p(x)) {
return mrb_bint_rshift(mrb, x, width);
}
#endif
val = mrb_integer(x);
if (val == 0) return x;
if (!mrb_num_shift(mrb, val, -width, &val)) {
#ifdef MRB_USE_BIGINT
return mrb_bint_rshift(mrb, mrb_bint_new_int(mrb, val), width);
#else
mrb_int_overflow(mrb, "bit shift");
#endif
}
return mrb_int_value(mrb, val);
}
static mrb_value
prepare_int_rounding(mrb_state *mrb, mrb_value x)
{
mrb_int nd = 0;
size_t bytes;
mrb_get_args(mrb, "|i", &nd);
if (nd >= 0) {
return mrb_nil_value();
}
#ifdef MRB_USE_BIGINT
if (mrb_bigint_p(x)) {
bytes = mrb_bint_memsize(x);
}
else
#endif
bytes = sizeof(mrb_int);
if (-0.415241 * nd - 0.125 > bytes) {
return mrb_undef_value();
}
return mrb_int_pow(mrb, mrb_fixnum_value(10), mrb_fixnum_value(-nd));
}
/* 15.2.8.3.14 Integer#ceil */
/*
* call-seq:
* int.ceil -> int
* int.ceil(ndigits) -> int
*
* Returns self.
*
* When the precision (ndigits) is negative, the returned value is an integer
* with at least <code>ndigits.abs</code> trailing zeros.
*/
static mrb_value
int_ceil(mrb_state *mrb, mrb_value x)
{
mrb_value f = prepare_int_rounding(mrb, x);
if (mrb_undef_p(f)) return mrb_fixnum_value(0);
if (mrb_nil_p(f)) return x;
#ifdef MRB_USE_BIGINT
if (mrb_bigint_p(x)) {
return mrb_bint_add(mrb, x, mrb_bint_sub(mrb, x, mrb_bint_mod(mrb, x, f)));
}
#endif
mrb_int a = mrb_integer(x);
mrb_int b = mrb_integer(f);
int neg = a < 0;
if (neg) a = -a;
else a += b - 1;
a = a / b * b;
if (neg) a = -a;
return mrb_int_value(mrb, a);
}
/* 15.2.8.3.17 Integer#floor */
/*
* call-seq:
* int.floor -> int
* int.floor(ndigits) -> int
*
* Returns self.
*
* When the precision (ndigits) is negative, the returned value is an integer
* with at least <code>ndigits.abs</code> trailing zeros.
*/
static mrb_value
int_floor(mrb_state *mrb, mrb_value x)
{
mrb_value f = prepare_int_rounding(mrb, x);
if (mrb_undef_p(f)) return mrb_fixnum_value(0);
if (mrb_nil_p(f)) return x;
#ifdef MRB_USE_BIGINT
if (mrb_bigint_p(x)) {
return mrb_bint_sub(mrb, x, mrb_bint_mod(mrb, x, f));
}
#endif
mrb_int a = mrb_integer(x);
mrb_int b = mrb_integer(f);
int neg = a < 0;
if (neg) a = -a + b - 1;
a = a / b * b;
if (neg) a = -a;
return mrb_int_value(mrb, a);
}
/* 15.2.8.3.20 Integer#round */
/*
* call-seq:
* int.round -> int
* int.round(ndigits) -> int
*
* Returns self.
*
* When the precision (ndigits) is negative, the returned value is an integer
* with at least <code>ndigits.abs</code> trailing zeros.
*/
static mrb_value
int_round(mrb_state *mrb, mrb_value x)
{
mrb_value f = prepare_int_rounding(mrb, x);
if (mrb_undef_p(f)) return mrb_fixnum_value(0);
if (mrb_nil_p(f)) return x;
#ifdef MRB_USE_BIGINT
if (mrb_bigint_p(x)) {
mrb_value r = mrb_bint_mod(mrb, x, f);
mrb_value n = mrb_bint_sub(mrb, x, r);
mrb_value h = mrb_bigint_p(f) ? mrb_bint_rshift(mrb, f, 1) : mrb_int_value(mrb, mrb_integer(f)>>1);
mrb_int cmp = mrb_bigint_p(r) ? mrb_bint_cmp(mrb, r, h) : (mrb_integer(r) - mrb_integer(h));
if ((cmp > 0) || (cmp == 0 && mrb_bint_cmp(mrb, x, mrb_fixnum_value(0)) > 0)) {
n = mrb_as_bint(mrb, n);
n = mrb_bint_add(mrb, n, f);
}
return n;
}
#endif
mrb_int a = mrb_integer(x);
mrb_int b = mrb_integer(f);
int neg = a < 0;
if (neg) a = -a;
a = (a + b / 2) / b * b;
if (neg) a = -a;
return mrb_int_value(mrb, a);
}
/* 15.2.8.3.26 Integer#truncate */
/*
* call-seq:
* int.truncate -> int
* int.truncate(ndigits) -> int
*
* Returns self.
*
* When the precision (ndigits) is negative, the returned value is an integer
* with at least <code>ndigits.abs</code> trailing zeros.
*/
static mrb_value
int_truncate(mrb_state *mrb, mrb_value x)
{
mrb_value f = prepare_int_rounding(mrb, x);
if (mrb_undef_p(f)) return mrb_fixnum_value(0);
if (mrb_nil_p(f)) return x;
#ifdef MRB_USE_BIGINT
if (mrb_bigint_p(x)) {
mrb_value m = mrb_bint_mod(mrb, x, f);
if (mrb_bint_cmp(mrb, x, mrb_fixnum_value(0)) < 0) {
return mrb_bint_add(mrb, x, mrb_bint_sub(mrb, x, m));
}
else {
return mrb_bint_sub(mrb, x, m);
}
}
#endif
mrb_int a = mrb_integer(x);
mrb_int b = mrb_integer(f);
int neg = a < 0;
if (neg) a = -a;
a = a / b * b;
if (neg) a = -a;
return mrb_int_value(mrb, a);
}
/* 15.2.8.3.23 */
/*
* call-seq:
* int.to_f -> float
*
* Converts <i>int</i> to a <code>Float</code>.
*
*/
#ifndef MRB_NO_FLOAT
static mrb_value
int_to_f(mrb_state *mrb, mrb_value num)
{
#ifdef MRB_USE_BIGINT
if (mrb_bigint_p(num)) {
return mrb_float_value(mrb, mrb_bint_as_float(mrb, num));
}
#endif
return mrb_float_value(mrb, (mrb_float)mrb_integer(num));
}
MRB_API mrb_value
mrb_float_to_integer(mrb_state *mrb, mrb_value x)
{
if (!mrb_float_p(x)) {
mrb_raise(mrb, E_TYPE_ERROR, "non float value");
}
mrb_float f = mrb_float(x);
if (isinf(f) || isnan(f)) {
mrb_raisef(mrb, E_RANGE_ERROR, "float %f out of range", f);
}
return flo_to_i(mrb, x);
}
#endif
mrb_value
mrb_int_add(mrb_state *mrb, mrb_value x, mrb_value y)
{
mrb_int a;
a = mrb_integer(x);
if (mrb_integer_p(y)) {
mrb_int b, c;
if (a == 0) return y;
b = mrb_integer(y);
if (b == 0) return x;
if (mrb_int_add_overflow(a, b, &c)) {
#ifdef MRB_USE_BIGINT
x = mrb_bint_new_int(mrb, a);
return mrb_bint_add(mrb, x, y);
#else
mrb_int_overflow(mrb, "addition");
#endif
}
return mrb_int_value(mrb, c);
}
switch (mrb_type(y)) {
#ifdef MRB_USE_BIGINT
case MRB_TT_BIGINT:
return mrb_bint_add(mrb, y, x);
#endif
#ifdef MRB_USE_RATIONAL
case MRB_TT_RATIONAL:
return mrb_rational_add(mrb, y, x);
#endif
#ifdef MRB_USE_COMPLEX
case MRB_TT_COMPLEX:
return mrb_complex_add(mrb, y, x);
#endif
default:
#ifdef MRB_NO_FLOAT
mrb_raise(mrb, E_TYPE_ERROR, "non integer addition");
#else
return mrb_float_value(mrb, (mrb_float)a + mrb_as_float(mrb, y));
#endif
}
}
/* 15.2.8.3.3 */
/*
* call-seq:
* int + 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
int_add(mrb_state *mrb, mrb_value self)
{
mrb_value other = mrb_get_arg1(mrb);
#ifdef MRB_USE_BIGINT
if (mrb_bigint_p(self)) {
return mrb_bint_add(mrb, self, other);
}
#endif
return mrb_int_add(mrb, self, other);
}
mrb_value
mrb_int_sub(mrb_state *mrb, mrb_value x, mrb_value y)
{
mrb_int a;
a = mrb_integer(x);
if (mrb_integer_p(y)) {
mrb_int b, c;
b = mrb_integer(y);
if (mrb_int_sub_overflow(a, b, &c)) {
#ifdef MRB_USE_BIGINT
x = mrb_bint_new_int(mrb, a);
return mrb_bint_sub(mrb, x, y);
#else
mrb_int_overflow(mrb, "subtraction");
#endif
}
return mrb_int_value(mrb, c);
}
switch (mrb_type(y)) {
#ifdef MRB_USE_BIGINT
case MRB_TT_BIGINT:
return mrb_bint_sub(mrb, mrb_bint_new_int(mrb, a), y);
#endif
#ifdef MRB_USE_RATIONAL
case MRB_TT_RATIONAL:
return mrb_rational_sub(mrb, mrb_rational_new(mrb, a, 1), y);
#endif
#ifdef MRB_USE_COMPLEX
case MRB_TT_COMPLEX:
return mrb_complex_sub(mrb, mrb_complex_new(mrb, (mrb_float)a, 0), y);
#endif
default:
#ifdef MRB_NO_FLOAT
mrb_raise(mrb, E_TYPE_ERROR, "non integer subtraction");
#else
return mrb_float_value(mrb, (mrb_float)a - mrb_as_float(mrb, y));
#endif
}
}
/* 15.2.8.3.4 */
/*
* call-seq:
* int - numeric -> numeric
*
* 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
int_sub(mrb_state *mrb, mrb_value self)
{
mrb_value other = mrb_get_arg1(mrb);
#ifdef MRB_USE_BIGINT
if (mrb_bigint_p(self)) {
return mrb_bint_sub(mrb, self, other);
}
#endif
return mrb_int_sub(mrb, self, other);
}
MRB_API char*
mrb_int_to_cstr(char *buf, size_t len, mrb_int n, mrb_int base)
{
char *bufend = buf + len;
char *b = bufend-1;
if (base < 2 || 36 < base) return NULL;
if (len < 2) return NULL;
if (n == 0) {
buf[0] = '0';
buf[1] = '\0';
return buf;
}
*b = '\0';
if (n < 0) {
do {
if (b-- == buf) return NULL;
*b = mrb_digitmap[-(n % base)];
} while (n /= base);
if (b-- == buf) return NULL;
*b = '-';
}
else {
do {
if (b-- == buf) return NULL;
*b = mrb_digitmap[(int)(n % base)];
} while (n /= base);
}
return b;
}
MRB_API mrb_value
mrb_integer_to_str(mrb_state *mrb, mrb_value x, mrb_int base)
{
char buf[MRB_INT_BIT+1];
mrb_int val = mrb_integer(x);
if (base < 2 || 36 < base) {
mrb_raisef(mrb, E_ARGUMENT_ERROR, "invalid radix %i", base);
}
#ifdef MRB_USE_BIGINT
if (mrb_bigint_p(x)) {
return mrb_bint_to_s(mrb, x, base);
}
#endif
const char *p = mrb_int_to_cstr(buf, sizeof(buf), val, base);
mrb_assert(p != NULL);
mrb_value str = mrb_str_new_cstr(mrb, p);
RSTR_SET_ASCII_FLAG(mrb_str_ptr(str));
return str;
}
/* 15.2.8.3.25 */
/*
* call-seq:
* int.to_s(base=10) -> string
*
* Returns a string containing the representation of <i>int</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
int_to_s(mrb_state *mrb, mrb_value self)
{
mrb_int base = 10;
mrb_get_args(mrb, "|i", &base);
return mrb_integer_to_str(mrb, self, base);
}
/* compare two numbers: (1:0:-1; -2 for error) */
static mrb_int
cmpnum(mrb_state *mrb, mrb_value v1, mrb_value v2)
{
#ifdef MRB_USE_BIGINT
if (mrb_bigint_p(v1)) {
return mrb_bint_cmp(mrb, v1, v2);
}
#endif
#ifdef MRB_NO_FLOAT
mrb_int x, y;
#else
mrb_float x, y;
#endif
#ifdef MRB_NO_FLOAT
x = mrb_integer(v1);
#else
x = mrb_as_float(mrb, v1);
#endif
switch (mrb_type(v2)) {
case MRB_TT_INTEGER:
#ifdef MRB_NO_FLOAT
y = mrb_integer(v2);
#else
y = (mrb_float)mrb_integer(v2);
#endif
break;
#ifndef MRB_NO_FLOAT
case MRB_TT_FLOAT:
y = mrb_float(v2);
break;
#ifdef MRB_USE_RATIONAL
case MRB_TT_RATIONAL:
y = mrb_as_float(mrb, v2);
break;
#endif
#endif
default:
return -2;
}
if (x > y)
return 1;
else {
if (x < y)
return -1;
return 0;
}
}
static mrb_value
int_hash(mrb_state *mrb, mrb_value self)
{
#ifdef MRB_USE_BIGINT
if (mrb_bigint_p(self)) {
return mrb_bint_hash(mrb, self);
}
#endif
mrb_int n = mrb_integer(self);
return mrb_int_value(mrb, mrb_byte_hash((uint8_t*)&n, sizeof(n)));
}
/* 15.2.8.3.1 */
/* 15.2.9.3.1 */
/*
* call-seq:
* self.f <=> other.f => -1, 0, +1, or nil
* < => -1
* = => 0
* > => +1
* Comparison---Returns -1, 0, or +1 depending on whether <i>int</i> is
* less than, equal to, or greater than <i>numeric</i>. This is the
* basis for the tests in <code>Comparable</code>. When the operands are
* not comparable, it returns nil instead of raising an exception.
*/
static mrb_value
num_cmp(mrb_state *mrb, mrb_value self)
{
mrb_value other = mrb_get_arg1(mrb);
mrb_int n;
n = cmpnum(mrb, self, other);
if (n == -2) return mrb_nil_value();
return mrb_fixnum_value(n);
}
static mrb_noreturn void
cmperr(mrb_state *mrb, mrb_value v1, mrb_value v2)
{
mrb_raisef(mrb, E_ARGUMENT_ERROR, "comparison of %t with %t failed", v1, v2);
}
static mrb_value
num_lt(mrb_state *mrb, mrb_value self)
{
mrb_value other = mrb_get_arg1(mrb);
mrb_int n;
n = cmpnum(mrb, self, other);
if (n == -2) cmperr(mrb, self, other);
if (n < 0) return mrb_true_value();
return mrb_false_value();
}
static mrb_value
num_le(mrb_state *mrb, mrb_value self)
{
mrb_value other = mrb_get_arg1(mrb);
mrb_int n;
n = cmpnum(mrb, self, other);
if (n == -2) cmperr(mrb, self, other);
if (n <= 0) return mrb_true_value();
return mrb_false_value();
}
static mrb_value
num_gt(mrb_state *mrb, mrb_value self)
{
mrb_value other = mrb_get_arg1(mrb);
mrb_int n;
n = cmpnum(mrb, self, other);
if (n == -2) cmperr(mrb, self, other);
if (n > 0) return mrb_true_value();
return mrb_false_value();
}
static mrb_value
num_ge(mrb_state *mrb, mrb_value self)
{
mrb_value other = mrb_get_arg1(mrb);
mrb_int n;
n = cmpnum(mrb, self, other);
if (n == -2) cmperr(mrb, self, other);
if (n >= 0) return mrb_true_value();
return mrb_false_value();
}
MRB_API mrb_int
mrb_cmp(mrb_state *mrb, mrb_value obj1, mrb_value obj2)
{
mrb_value v;
switch (mrb_type(obj1)) {
case MRB_TT_INTEGER:
case MRB_TT_FLOAT:
case MRB_TT_BIGINT:
return cmpnum(mrb, obj1, obj2);
case MRB_TT_STRING:
if (!mrb_string_p(obj2))
return -2;
return mrb_str_cmp(mrb, obj1, obj2);
default:
if (!mrb_respond_to(mrb, obj1, MRB_OPSYM(cmp))) return -2;
v = mrb_funcall_id(mrb, obj1, MRB_OPSYM(cmp), 1, obj2);
if (mrb_nil_p(v) || !mrb_integer_p(v))
return -2;
return mrb_integer(v);
}
}
static mrb_value
num_finite_p(mrb_state *mrb, mrb_value self)
{
return mrb_true_value();
}
static mrb_value
num_infinite_p(mrb_state *mrb, mrb_value self)
{
return mrb_false_value();
}
#ifndef MRB_NO_FLOAT
static mrb_value
flo_hash(mrb_state *mrb, mrb_value flo)
{
mrb_float f = mrb_float(flo);
/* normalize -0.0 to 0.0 */
if (f == 0) f = 0.0;
return mrb_int_value(mrb, (mrb_int)mrb_byte_hash((uint8_t*)&f, sizeof(f)));
}
#endif
/* ------------------------------------------------------------------------*/
void
mrb_init_numeric(mrb_state *mrb)
{
struct RClass *numeric, *integer;
#ifndef MRB_NO_FLOAT
struct RClass *fl;
#endif
/* Numeric Class */
numeric = mrb_define_class(mrb, "Numeric", mrb->object_class); /* 15.2.7 */
mrb_define_method(mrb, numeric, "finite?", num_finite_p, MRB_ARGS_NONE());
mrb_define_method(mrb, numeric, "infinite?",num_infinite_p, MRB_ARGS_NONE());
mrb_define_method(mrb, numeric, "eql?", num_eql, MRB_ARGS_REQ(1)); /* 15.2.8.3.16 */
/* Integer Class */
mrb->integer_class = integer = mrb_define_class(mrb, "Integer", numeric); /* 15.2.8 */
MRB_SET_INSTANCE_TT(integer, MRB_TT_INTEGER);
mrb_undef_class_method(mrb, integer, "new");
mrb_define_method(mrb, integer, "**", int_pow, MRB_ARGS_REQ(1));
mrb_define_method(mrb, integer, "<=>", num_cmp, MRB_ARGS_REQ(1)); /* 15.2.8.3.1 */
mrb_define_method(mrb, integer, "<", num_lt, MRB_ARGS_REQ(1));
mrb_define_method(mrb, integer, "<=", num_le, MRB_ARGS_REQ(1));
mrb_define_method(mrb, integer, ">", num_gt, MRB_ARGS_REQ(1));
mrb_define_method(mrb, integer, ">=", num_ge, MRB_ARGS_REQ(1));
mrb_define_method(mrb, integer, "to_i", int_to_i, MRB_ARGS_NONE()); /* 15.2.8.3.24 */
mrb_define_method(mrb, integer, "to_int", int_to_i, MRB_ARGS_NONE());
mrb_define_method(mrb, integer, "+", int_add, MRB_ARGS_REQ(1)); /* 15.2.8.3.1 */
mrb_define_method(mrb, integer, "-", int_sub, MRB_ARGS_REQ(1)); /* 15.2.8.3.2 */
mrb_define_method(mrb, integer, "*", int_mul, MRB_ARGS_REQ(1)); /* 15.2.8.3.3 */
mrb_define_method(mrb, integer, "%", int_mod, MRB_ARGS_REQ(1)); /* 15.2.8.3.5 */
mrb_define_method(mrb, integer, "/", int_div, MRB_ARGS_REQ(1)); /* 15.2.8.3.6 */
mrb_define_method(mrb, integer, "quo", int_quo, MRB_ARGS_REQ(1)); /* 15.2.7.4.5(x) */
mrb_define_method(mrb, integer, "div", int_idiv, MRB_ARGS_REQ(1));
mrb_define_method(mrb, integer, "==", int_equal, MRB_ARGS_REQ(1)); /* 15.2.8.3.7 */
mrb_define_method(mrb, integer, "~", int_rev, MRB_ARGS_NONE()); /* 15.2.8.3.8 */
mrb_define_method(mrb, integer, "&", int_and, MRB_ARGS_REQ(1)); /* 15.2.8.3.9 */
mrb_define_method(mrb, integer, "|", int_or, MRB_ARGS_REQ(1)); /* 15.2.8.3.10 */
mrb_define_method(mrb, integer, "^", int_xor, MRB_ARGS_REQ(1)); /* 15.2.8.3.11 */
mrb_define_method(mrb, integer, "<<", int_lshift, MRB_ARGS_REQ(1)); /* 15.2.8.3.12 */
mrb_define_method(mrb, integer, ">>", int_rshift, MRB_ARGS_REQ(1)); /* 15.2.8.3.13 */
mrb_define_method(mrb, integer, "ceil", int_ceil, MRB_ARGS_OPT(1)); /* 15.2.8.3.14 */
mrb_define_method(mrb, integer, "floor", int_floor, MRB_ARGS_OPT(1)); /* 15.2.8.3.17 */
mrb_define_method(mrb, integer, "round", int_round, MRB_ARGS_OPT(1)); /* 15.2.8.3.20 */
mrb_define_method(mrb, integer, "truncate", int_truncate, MRB_ARGS_OPT(1)); /* 15.2.8.3.26 */
mrb_define_method(mrb, integer, "hash", int_hash, MRB_ARGS_NONE()); /* 15.2.8.3.18 */
#ifndef MRB_NO_FLOAT
mrb_define_method(mrb, integer, "to_f", int_to_f, MRB_ARGS_NONE()); /* 15.2.8.3.23 */
#endif
mrb_define_method(mrb, integer, "to_s", int_to_s, MRB_ARGS_OPT(1)); /* 15.2.8.3.25 */
mrb_define_method(mrb, integer, "inspect", int_to_s, MRB_ARGS_OPT(1));
mrb_define_method(mrb, integer, "divmod", int_divmod, MRB_ARGS_REQ(1)); /* 15.2.8.3.30(x) */
mrb_define_method(mrb, integer, "__coerce_step_counter", coerce_step_counter, MRB_ARGS_REQ(2));
/* Fixnum Class for compatibility */
mrb_define_const(mrb, mrb->object_class, "Fixnum", mrb_obj_value(integer));
#ifndef MRB_NO_FLOAT
/* Float Class */
mrb->float_class = fl = mrb_define_class(mrb, "Float", numeric); /* 15.2.9 */
MRB_SET_INSTANCE_TT(fl, MRB_TT_FLOAT);
mrb_undef_class_method(mrb, fl, "new");
mrb_define_method(mrb, fl, "**", flo_pow, MRB_ARGS_REQ(1));
mrb_define_method(mrb, fl, "/", flo_div, MRB_ARGS_REQ(1)); /* 15.2.9.3.6 */
mrb_define_method(mrb, fl, "quo", flo_div, MRB_ARGS_REQ(1)); /* 15.2.7.4.5(x) */
mrb_define_method(mrb, fl, "div", flo_idiv, MRB_ARGS_REQ(1));
mrb_define_method(mrb, fl, "+", flo_add, MRB_ARGS_REQ(1)); /* 15.2.9.3.3 */
mrb_define_method(mrb, fl, "-", flo_sub, MRB_ARGS_REQ(1)); /* 15.2.9.3.4 */
mrb_define_method(mrb, fl, "*", flo_mul, MRB_ARGS_REQ(1)); /* 15.2.9.3.5 */
mrb_define_method(mrb, fl, "%", flo_mod, MRB_ARGS_REQ(1)); /* 15.2.9.3.7 */
mrb_define_method(mrb, fl, "<=>", num_cmp, MRB_ARGS_REQ(1)); /* 15.2.9.3.1 */
mrb_define_method(mrb, fl, "<", num_lt, MRB_ARGS_REQ(1));
mrb_define_method(mrb, fl, "<=", num_le, MRB_ARGS_REQ(1));
mrb_define_method(mrb, fl, ">", num_gt, MRB_ARGS_REQ(1));
mrb_define_method(mrb, fl, ">=", num_ge, MRB_ARGS_REQ(1));
mrb_define_method(mrb, fl, "==", flo_eq, MRB_ARGS_REQ(1)); /* 15.2.9.3.2 */
mrb_define_method(mrb, fl, "~", flo_rev, MRB_ARGS_NONE());
mrb_define_method(mrb, fl, "&", flo_and, MRB_ARGS_REQ(1));
mrb_define_method(mrb, fl, "|", flo_or, MRB_ARGS_REQ(1));
mrb_define_method(mrb, fl, "^", flo_xor, MRB_ARGS_REQ(1));
mrb_define_method(mrb, fl, ">>", flo_rshift, MRB_ARGS_REQ(1));
mrb_define_method(mrb, fl, "<<", flo_lshift, MRB_ARGS_REQ(1));
mrb_define_method(mrb, fl, "ceil", flo_ceil, MRB_ARGS_OPT(1)); /* 15.2.9.3.8 */
mrb_define_method(mrb, fl, "finite?", flo_finite_p, MRB_ARGS_NONE()); /* 15.2.9.3.9 */
mrb_define_method(mrb, fl, "floor", flo_floor, MRB_ARGS_OPT(1)); /* 15.2.9.3.10 */
mrb_define_method(mrb, fl, "infinite?", flo_infinite_p, MRB_ARGS_NONE()); /* 15.2.9.3.11 */
mrb_define_method(mrb, fl, "round", flo_round, MRB_ARGS_OPT(1)); /* 15.2.9.3.12 */
mrb_define_method(mrb, fl, "to_f", flo_to_f, MRB_ARGS_NONE()); /* 15.2.9.3.13 */
mrb_define_method(mrb, fl, "to_i", flo_to_i, MRB_ARGS_NONE()); /* 15.2.9.3.14 */
mrb_define_method(mrb, fl, "truncate", flo_truncate, MRB_ARGS_OPT(1)); /* 15.2.9.3.15 */
mrb_define_method(mrb, fl, "divmod", flo_divmod, MRB_ARGS_REQ(1));
mrb_define_method(mrb, fl, "to_s", flo_to_s, MRB_ARGS_NONE()); /* 15.2.9.3.16(x) */
mrb_define_method(mrb, fl, "inspect", flo_to_s, MRB_ARGS_NONE());
mrb_define_method(mrb, fl, "nan?", flo_nan_p, MRB_ARGS_NONE());
mrb_define_method(mrb, fl, "abs", flo_abs, MRB_ARGS_NONE()); /* 15.2.7.4.3 */
mrb_define_method(mrb, fl, "hash", flo_hash, MRB_ARGS_NONE());
#ifdef INFINITY
mrb_define_const_id(mrb, fl, MRB_SYM(INFINITY), mrb_float_value(mrb, INFINITY));
#endif
#ifdef NAN
mrb_define_const_id(mrb, fl, MRB_SYM(NAN), mrb_float_value(mrb, NAN));
#endif
#endif
}
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