diff options
Diffstat (limited to 'trunk/numeric.c')
| -rw-r--r-- | trunk/numeric.c | 3285 |
1 files changed, 0 insertions, 3285 deletions
diff --git a/trunk/numeric.c b/trunk/numeric.c deleted file mode 100644 index 25e169acb7..0000000000 --- a/trunk/numeric.c +++ /dev/null @@ -1,3285 +0,0 @@ -/********************************************************************** - - numeric.c - - - $Author$ - created at: Fri Aug 13 18:33:09 JST 1993 - - Copyright (C) 1993-2007 Yukihiro Matsumoto - -**********************************************************************/ - -#include "ruby/ruby.h" -#include "ruby/encoding.h" -#include <ctype.h> -#include <math.h> -#include <stdio.h> - -#if defined(__FreeBSD__) && __FreeBSD__ < 4 -#include <floatingpoint.h> -#endif - -#ifdef HAVE_FLOAT_H -#include <float.h> -#endif - -#ifdef HAVE_IEEEFP_H -#include <ieeefp.h> -#endif - -/* use IEEE 64bit values if not defined */ -#ifndef FLT_RADIX -#define FLT_RADIX 2 -#endif -#ifndef FLT_ROUNDS -#define FLT_ROUNDS 1 -#endif -#ifndef DBL_MIN -#define DBL_MIN 2.2250738585072014e-308 -#endif -#ifndef DBL_MAX -#define DBL_MAX 1.7976931348623157e+308 -#endif -#ifndef DBL_MIN_EXP -#define DBL_MIN_EXP (-1021) -#endif -#ifndef DBL_MAX_EXP -#define DBL_MAX_EXP 1024 -#endif -#ifndef DBL_MIN_10_EXP -#define DBL_MIN_10_EXP (-307) -#endif -#ifndef DBL_MAX_10_EXP -#define DBL_MAX_10_EXP 308 -#endif -#ifndef DBL_DIG -#define DBL_DIG 15 -#endif -#ifndef DBL_MANT_DIG -#define DBL_MANT_DIG 53 -#endif -#ifndef DBL_EPSILON -#define DBL_EPSILON 2.2204460492503131e-16 -#endif - -#ifndef HAVE_ROUND -double -round(double x) -{ - double f; - - if (x > 0.0) { - f = floor(x); - x = f + (x - f >= 0.5); - } - else if (x < 0.0) { - f = ceil(x); - x = f - (f - x >= 0.5); - } - return x; -} -#endif - -static ID id_coerce, id_to_i, id_eq; - -VALUE rb_cNumeric; -VALUE rb_cFloat; -VALUE rb_cInteger; -VALUE rb_cFixnum; - -VALUE rb_eZeroDivError; -VALUE rb_eFloatDomainError; - -void -rb_num_zerodiv(void) -{ - rb_raise(rb_eZeroDivError, "divided by 0"); -} - - -/* - * call-seq: - * num.coerce(numeric) => array - * - * If <i>aNumeric</i> is the same type as <i>num</i>, returns an array - * containing <i>aNumeric</i> and <i>num</i>. Otherwise, returns an - * array with both <i>aNumeric</i> and <i>num</i> represented as - * <code>Float</code> objects. This coercion mechanism is used by - * Ruby to handle mixed-type numeric operations: it is intended to - * find a compatible common type between the two operands of the operator. - * - * 1.coerce(2.5) #=> [2.5, 1.0] - * 1.2.coerce(3) #=> [3.0, 1.2] - * 1.coerce(2) #=> [2, 1] - */ - -static VALUE -num_coerce(VALUE x, VALUE y) -{ - if (CLASS_OF(x) == CLASS_OF(y)) - return rb_assoc_new(y, x); - x = rb_Float(x); - y = rb_Float(y); - return rb_assoc_new(y, x); -} - -static VALUE -coerce_body(VALUE *x) -{ - return rb_funcall(x[1], id_coerce, 1, x[0]); -} - -static VALUE -coerce_rescue(VALUE *x) -{ - volatile VALUE v = rb_inspect(x[1]); - - rb_raise(rb_eTypeError, "%s can't be coerced into %s", - rb_special_const_p(x[1])? - RSTRING_PTR(v): - rb_obj_classname(x[1]), - rb_obj_classname(x[0])); - return Qnil; /* dummy */ -} - -static int -do_coerce(VALUE *x, VALUE *y, int err) -{ - VALUE ary; - VALUE a[2]; - - a[0] = *x; a[1] = *y; - - ary = rb_rescue(coerce_body, (VALUE)a, err?coerce_rescue:0, (VALUE)a); - if (TYPE(ary) != T_ARRAY || RARRAY_LEN(ary) != 2) { - if (err) { - rb_raise(rb_eTypeError, "coerce must return [x, y]"); - } - return Qfalse; - } - - *x = RARRAY_PTR(ary)[0]; - *y = RARRAY_PTR(ary)[1]; - return Qtrue; -} - -VALUE -rb_num_coerce_bin(VALUE x, VALUE y, ID func) -{ - do_coerce(&x, &y, Qtrue); - return rb_funcall(x, func, 1, y); -} - -VALUE -rb_num_coerce_cmp(VALUE x, VALUE y, ID func) -{ - if (do_coerce(&x, &y, Qfalse)) - return rb_funcall(x, func, 1, y); - return Qnil; -} - -VALUE -rb_num_coerce_relop(VALUE x, VALUE y, ID func) -{ - VALUE c, x0 = x, y0 = y; - - if (!do_coerce(&x, &y, Qfalse) || - NIL_P(c = rb_funcall(x, func, 1, y))) { - rb_cmperr(x0, y0); - return Qnil; /* not reached */ - } - return c; -} - -/* - * Trap attempts to add methods to <code>Numeric</code> objects. Always - * raises a <code>TypeError</code> - */ - -static VALUE -num_sadded(VALUE x, VALUE name) -{ - /* ruby_frame = ruby_frame->prev; */ /* pop frame for "singleton_method_added" */ - /* Numerics should be values; singleton_methods should not be added to them */ - rb_raise(rb_eTypeError, - "can't define singleton method \"%s\" for %s", - rb_id2name(rb_to_id(name)), - rb_obj_classname(x)); - return Qnil; /* not reached */ -} - -/* :nodoc: */ -static VALUE -num_init_copy(VALUE x, VALUE y) -{ - /* Numerics are immutable values, which should not be copied */ - rb_raise(rb_eTypeError, "can't copy %s", rb_obj_classname(x)); - return Qnil; /* not reached */ -} - -/* - * call-seq: - * +num => num - * - * Unary Plus---Returns the receiver's value. - */ - -static VALUE -num_uplus(VALUE num) -{ - return num; -} - -/* - * call-seq: - * -num => numeric - * - * Unary Minus---Returns the receiver's value, negated. - */ - -static VALUE -num_uminus(VALUE num) -{ - VALUE zero; - - zero = INT2FIX(0); - do_coerce(&zero, &num, Qtrue); - - return rb_funcall(zero, '-', 1, num); -} - -/* - * call-seq: - * num.quo(numeric) => result - * - * Returns most exact division (rational for integers, float for floats). - */ - -static VALUE -num_quo(VALUE x, VALUE y) -{ - return rb_funcall(rb_rational_raw1(x), '/', 1, y); -} - - -/* - * call-seq: - * num.fdiv(numeric) => float - * - * Returns float division. - */ - -static VALUE -num_fdiv(VALUE x, VALUE y) -{ - return rb_funcall(rb_Float(x), '/', 1, y); -} - - -static VALUE num_floor(VALUE num); - -/* - * call-seq: - * num.div(numeric) => integer - * - * Uses <code>/</code> to perform division, then converts the result to - * an integer. <code>Numeric</code> does not define the <code>/</code> - * operator; this is left to subclasses. - */ - -static VALUE -num_div(VALUE x, VALUE y) -{ - if (rb_equal(INT2FIX(0), y)) rb_num_zerodiv(); - return num_floor(rb_funcall(x, '/', 1, y)); -} - - -/* - * call-seq: - * num.divmod( aNumeric ) -> anArray - * - * Returns an array containing the quotient and modulus obtained by - * dividing <i>num</i> by <i>aNumeric</i>. If <code>q, r = - * x.divmod(y)</code>, then - * - * q = floor(float(x)/float(y)) - * x = q*y + r - * - * The quotient is rounded toward -infinity, as shown in the following table: - * - * a | b | a.divmod(b) | a/b | a.modulo(b) | a.remainder(b) - * ------+-----+---------------+---------+-------------+--------------- - * 13 | 4 | 3, 1 | 3 | 1 | 1 - * ------+-----+---------------+---------+-------------+--------------- - * 13 | -4 | -4, -3 | -3 | -3 | 1 - * ------+-----+---------------+---------+-------------+--------------- - * -13 | 4 | -4, 3 | -4 | 3 | -1 - * ------+-----+---------------+---------+-------------+--------------- - * -13 | -4 | 3, -1 | 3 | -1 | -1 - * ------+-----+---------------+---------+-------------+--------------- - * 11.5 | 4 | 2, 3.5 | 2.875 | 3.5 | 3.5 - * ------+-----+---------------+---------+-------------+--------------- - * 11.5 | -4 | -3, -0.5 | -2.875 | -0.5 | 3.5 - * ------+-----+---------------+---------+-------------+--------------- - * -11.5 | 4 | -3, 0.5 | -2.875 | 0.5 | -3.5 - * ------+-----+---------------+---------+-------------+--------------- - * -11.5 | -4 | 2, -3.5 | 2.875 | -3.5 | -3.5 - * - * - * Examples - * - * 11.divmod(3) #=> [3, 2] - * 11.divmod(-3) #=> [-4, -1] - * 11.divmod(3.5) #=> [3, 0.5] - * (-11).divmod(3.5) #=> [-4, 3.0] - * (11.5).divmod(3.5) #=> [3, 1.0] - */ - -static VALUE -num_divmod(VALUE x, VALUE y) -{ - return rb_assoc_new(num_div(x, y), rb_funcall(x, '%', 1, y)); -} - -/* - * call-seq: - * num.modulo(numeric) => result - * - * Equivalent to - * <i>num</i>.<code>divmod(</code><i>aNumeric</i><code>)[1]</code>. - */ - -static VALUE -num_modulo(VALUE x, VALUE y) -{ - return rb_funcall(x, '%', 1, y); -} - -/* - * call-seq: - * num.remainder(numeric) => result - * - * If <i>num</i> and <i>numeric</i> have different signs, returns - * <em>mod</em>-<i>numeric</i>; otherwise, returns <em>mod</em>. In - * both cases <em>mod</em> is the value - * <i>num</i>.<code>modulo(</code><i>numeric</i><code>)</code>. The - * differences between <code>remainder</code> and modulo - * (<code>%</code>) are shown in the table under <code>Numeric#divmod</code>. - */ - -static VALUE -num_remainder(VALUE x, VALUE y) -{ - VALUE z = rb_funcall(x, '%', 1, y); - - if ((!rb_equal(z, INT2FIX(0))) && - ((RTEST(rb_funcall(x, '<', 1, INT2FIX(0))) && - RTEST(rb_funcall(y, '>', 1, INT2FIX(0)))) || - (RTEST(rb_funcall(x, '>', 1, INT2FIX(0))) && - RTEST(rb_funcall(y, '<', 1, INT2FIX(0)))))) { - return rb_funcall(z, '-', 1, y); - } - return z; -} - -/* - * call-seq: - * num.scalar? -> true or false - * - * Returns <code>true</code> if <i>num</i> is an <code>Scalar</code> - * (i.e. non <code>Complex</code>). - */ - -static VALUE -num_scalar_p(VALUE num) -{ - return Qtrue; -} - -/* - * call-seq: - * num.integer? -> true or false - * - * Returns <code>true</code> if <i>num</i> is an <code>Integer</code> - * (including <code>Fixnum</code> and <code>Bignum</code>). - */ - -static VALUE -num_int_p(VALUE num) -{ - return Qfalse; -} - -/* - * call-seq: - * num.abs => num or numeric - * - * Returns the absolute value of <i>num</i>. - * - * 12.abs #=> 12 - * (-34.56).abs #=> 34.56 - * -34.56.abs #=> 34.56 - */ - -static VALUE -num_abs(VALUE num) -{ - if (RTEST(rb_funcall(num, '<', 1, INT2FIX(0)))) { - return rb_funcall(num, rb_intern("-@"), 0); - } - return num; -} - - -/* - * call-seq: - * num.zero? => true or false - * - * Returns <code>true</code> if <i>num</i> has a zero value. - */ - -static VALUE -num_zero_p(VALUE num) -{ - if (rb_equal(num, INT2FIX(0))) { - return Qtrue; - } - return Qfalse; -} - - -/* - * call-seq: - * num.nonzero? => num or nil - * - * Returns <i>num</i> if <i>num</i> is not zero, <code>nil</code> - * otherwise. This behavior is useful when chaining comparisons: - * - * a = %w( z Bb bB bb BB a aA Aa AA A ) - * b = a.sort {|a,b| (a.downcase <=> b.downcase).nonzero? || a <=> b } - * b #=> ["A", "a", "AA", "Aa", "aA", "BB", "Bb", "bB", "bb", "z"] - */ - -static VALUE -num_nonzero_p(VALUE num) -{ - if (RTEST(rb_funcall(num, rb_intern("zero?"), 0, 0))) { - return Qnil; - } - return num; -} - -/* - * call-seq: - * num.to_int => integer - * - * Invokes the child class's <code>to_i</code> method to convert - * <i>num</i> to an integer. - */ - -static VALUE -num_to_int(VALUE num) -{ - return rb_funcall(num, id_to_i, 0, 0); -} - - -/******************************************************************** - * - * Document-class: Float - * - * <code>Float</code> objects represent real numbers using the native - * architecture's double-precision floating point representation. - */ - -VALUE -rb_float_new(double d) -{ - NEWOBJ(flt, struct RFloat); - OBJSETUP(flt, rb_cFloat, T_FLOAT); - - flt->float_value = d; - return (VALUE)flt; -} - -/* - * call-seq: - * flt.to_s => 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>''. - */ - -static VALUE -flo_to_s(VALUE flt) -{ - char buf[32]; - double value = RFLOAT_VALUE(flt); - char *p, *e; - - if (isinf(value)) - return rb_usascii_str_new2(value < 0 ? "-Infinity" : "Infinity"); - else if(isnan(value)) - return rb_usascii_str_new2("NaN"); - - sprintf(buf, "%#.15g", value); /* ensure to print decimal point */ - if (!(e = strchr(buf, 'e'))) { - e = buf + strlen(buf); - } - if (!ISDIGIT(e[-1])) { /* reformat if ended with decimal point (ex 111111111111111.) */ - sprintf(buf, "%#.14e", value); - if (!(e = strchr(buf, 'e'))) { - e = buf + strlen(buf); - } - } - p = e; - while (p[-1]=='0' && ISDIGIT(p[-2])) - p--; - memmove(p, e, strlen(e)+1); - return rb_usascii_str_new2(buf); -} - -/* - * MISSING: documentation - */ - -static VALUE -flo_coerce(VALUE x, VALUE y) -{ - return rb_assoc_new(rb_Float(y), x); -} - -/* - * call-seq: - * -float => float - * - * Returns float, negated. - */ - -static VALUE -flo_uminus(VALUE flt) -{ - return DOUBLE2NUM(-RFLOAT_VALUE(flt)); -} - -/* - * call-seq: - * float + other => float - * - * Returns a new float which is the sum of <code>float</code> - * and <code>other</code>. - */ - -static VALUE -flo_plus(VALUE x, VALUE y) -{ - switch (TYPE(y)) { - case T_FIXNUM: - return DOUBLE2NUM(RFLOAT_VALUE(x) + (double)FIX2LONG(y)); - case T_BIGNUM: - return DOUBLE2NUM(RFLOAT_VALUE(x) + rb_big2dbl(y)); - case T_FLOAT: - return DOUBLE2NUM(RFLOAT_VALUE(x) + RFLOAT_VALUE(y)); - default: - return rb_num_coerce_bin(x, y, '+'); - } -} - -/* - * call-seq: - * float + other => float - * - * Returns a new float which is the difference of <code>float</code> - * and <code>other</code>. - */ - -static VALUE -flo_minus(VALUE x, VALUE y) -{ - switch (TYPE(y)) { - case T_FIXNUM: - return DOUBLE2NUM(RFLOAT_VALUE(x) - (double)FIX2LONG(y)); - case T_BIGNUM: - return DOUBLE2NUM(RFLOAT_VALUE(x) - rb_big2dbl(y)); - case T_FLOAT: - return DOUBLE2NUM(RFLOAT_VALUE(x) - RFLOAT_VALUE(y)); - default: - return rb_num_coerce_bin(x, y, '-'); - } -} - -/* - * call-seq: - * float * other => float - * - * Returns a new float which is the product of <code>float</code> - * and <code>other</code>. - */ - -static VALUE -flo_mul(VALUE x, VALUE y) -{ - switch (TYPE(y)) { - case T_FIXNUM: - return DOUBLE2NUM(RFLOAT_VALUE(x) * (double)FIX2LONG(y)); - case T_BIGNUM: - return DOUBLE2NUM(RFLOAT_VALUE(x) * rb_big2dbl(y)); - case T_FLOAT: - return DOUBLE2NUM(RFLOAT_VALUE(x) * RFLOAT_VALUE(y)); - default: - return rb_num_coerce_bin(x, y, '*'); - } -} - -/* - * call-seq: - * float / other => float - * - * Returns a new float which is the result of dividing - * <code>float</code> by <code>other</code>. - */ - -static VALUE -flo_div(VALUE x, VALUE y) -{ - long f_y; - double d; - - switch (TYPE(y)) { - case T_FIXNUM: - f_y = FIX2LONG(y); - return DOUBLE2NUM(RFLOAT_VALUE(x) / (double)f_y); - case T_BIGNUM: - d = rb_big2dbl(y); - return DOUBLE2NUM(RFLOAT_VALUE(x) / d); - case T_FLOAT: - return DOUBLE2NUM(RFLOAT_VALUE(x) / RFLOAT_VALUE(y)); - default: - return rb_num_coerce_bin(x, y, '/'); - } -} - -static VALUE -flo_quo(VALUE x, VALUE y) -{ - return rb_funcall(x, '/', 1, y); -} - -static void -flodivmod(double x, double y, double *divp, double *modp) -{ - double div, mod; - -#ifdef HAVE_FMOD - mod = fmod(x, y); -#else - { - double z; - - modf(x/y, &z); - mod = x - z * y; - } -#endif - if (isinf(x) && !isinf(y) && !isnan(y)) - div = x; - else - div = (x - mod) / y; - if (y*mod < 0) { - mod += y; - div -= 1.0; - } - if (modp) *modp = mod; - if (divp) *divp = div; -} - - -/* - * 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 VALUE -flo_mod(VALUE x, VALUE y) -{ - double fy, mod; - - switch (TYPE(y)) { - case T_FIXNUM: - fy = (double)FIX2LONG(y); - break; - case T_BIGNUM: - fy = rb_big2dbl(y); - break; - case T_FLOAT: - fy = RFLOAT_VALUE(y); - break; - default: - return rb_num_coerce_bin(x, y, '%'); - } - flodivmod(RFLOAT_VALUE(x), fy, 0, &mod); - return DOUBLE2NUM(mod); -} - -static VALUE -dbl2ival(double d) -{ - if (FIXABLE(d)) { - d = round(d); - return LONG2FIX((long)d); - } - else if (isnan(d) || isinf(d)) { - /* special case: cannot return integer value */ - return rb_float_new(d); - } - else { - return rb_dbl2big(d); - } -} - -/* - * call-seq: - * flt.divmod(numeric) => array - * - * See <code>Numeric#divmod</code>. - */ - -static VALUE -flo_divmod(VALUE x, VALUE y) -{ - double fy, div, mod; - volatile VALUE a, b; - - switch (TYPE(y)) { - case T_FIXNUM: - fy = (double)FIX2LONG(y); - break; - case T_BIGNUM: - fy = rb_big2dbl(y); - break; - case T_FLOAT: - fy = RFLOAT_VALUE(y); - break; - default: - return rb_num_coerce_bin(x, y, rb_intern("divmod")); - } - flodivmod(RFLOAT_VALUE(x), fy, &div, &mod); - a = dbl2ival(div); - b = DOUBLE2NUM(mod); - return rb_assoc_new(a, b); -} - -/* - * call-seq: - * - * flt ** other => float - * - * Raises <code>float</code> the <code>other</code> power. - */ - -static VALUE -flo_pow(VALUE x, VALUE y) -{ - switch (TYPE(y)) { - case T_FIXNUM: - return DOUBLE2NUM(pow(RFLOAT_VALUE(x), (double)FIX2LONG(y))); - case T_BIGNUM: - return DOUBLE2NUM(pow(RFLOAT_VALUE(x), rb_big2dbl(y))); - case T_FLOAT: - return DOUBLE2NUM(pow(RFLOAT_VALUE(x), RFLOAT_VALUE(y))); - default: - return rb_num_coerce_bin(x, y, rb_intern("**")); - } -} - -/* - * 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 VALUE -num_eql(VALUE x, VALUE y) -{ - if (TYPE(x) != TYPE(y)) return Qfalse; - - return rb_equal(x, y); -} - -/* - * call-seq: - * num <=> other -> 0 or nil - * - * Returns zero if <i>num</i> equals <i>other</i>, <code>nil</code> - * otherwise. - */ - -static VALUE -num_cmp(VALUE x, VALUE y) -{ - if (x == y) return INT2FIX(0); - return Qnil; -} - -static VALUE -num_equal(VALUE x, VALUE y) -{ - if (x == y) return Qtrue; - return rb_funcall(y, id_eq, 1, x); -} - -/* - * 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 VALUE -flo_eq(VALUE x, VALUE y) -{ - volatile double a, b; - - switch (TYPE(y)) { - case T_FIXNUM: - b = FIX2LONG(y); - break; - case T_BIGNUM: - b = rb_big2dbl(y); - break; - case T_FLOAT: - b = RFLOAT_VALUE(y); - if (isnan(b)) return Qfalse; - break; - default: - return num_equal(x, y); - } - a = RFLOAT_VALUE(x); - if (isnan(a)) return Qfalse; - return (a == b)?Qtrue:Qfalse; -} - -/* - * call-seq: - * flt.hash => integer - * - * Returns a hash code for this float. - */ - -static VALUE -flo_hash(VALUE num) -{ - double d; - int hash; - - d = RFLOAT_VALUE(num); - hash = rb_memhash(&d, sizeof(d)); - return INT2FIX(hash); -} - -VALUE -rb_dbl_cmp(double a, double b) -{ - if (isnan(a) || isnan(b)) return Qnil; - if (a == b) return INT2FIX(0); - if (a > b) return INT2FIX(1); - if (a < b) return INT2FIX(-1); - return Qnil; -} - -/* - * call-seq: - * flt <=> numeric => -1, 0, +1 - * - * Returns -1, 0, or +1 depending on whether <i>flt</i> is less than, - * equal to, or greater than <i>numeric</i>. This is the basis for the - * tests in <code>Comparable</code>. - */ - -static VALUE -flo_cmp(VALUE x, VALUE y) -{ - double a, b; - - a = RFLOAT_VALUE(x); - switch (TYPE(y)) { - case T_FIXNUM: - b = (double)FIX2LONG(y); - break; - - case T_BIGNUM: - b = rb_big2dbl(y); - break; - - case T_FLOAT: - b = RFLOAT_VALUE(y); - break; - - default: - return rb_num_coerce_cmp(x, y, rb_intern("<=>")); - } - return rb_dbl_cmp(a, b); -} - -/* - * call-seq: - * flt > other => true or false - * - * <code>true</code> if <code>flt</code> is greater than <code>other</code>. - */ - -static VALUE -flo_gt(VALUE x, VALUE y) -{ - double a, b; - - a = RFLOAT_VALUE(x); - switch (TYPE(y)) { - case T_FIXNUM: - b = (double)FIX2LONG(y); - break; - - case T_BIGNUM: - b = rb_big2dbl(y); - break; - - case T_FLOAT: - b = RFLOAT_VALUE(y); - if (isnan(b)) return Qfalse; - break; - - default: - return rb_num_coerce_relop(x, y, '>'); - } - if (isnan(a)) return Qfalse; - return (a > b)?Qtrue:Qfalse; -} - -/* - * call-seq: - * flt >= other => true or false - * - * <code>true</code> if <code>flt</code> is greater than - * or equal to <code>other</code>. - */ - -static VALUE -flo_ge(VALUE x, VALUE y) -{ - double a, b; - - a = RFLOAT_VALUE(x); - switch (TYPE(y)) { - case T_FIXNUM: - b = (double)FIX2LONG(y); - break; - - case T_BIGNUM: - b = rb_big2dbl(y); - break; - - case T_FLOAT: - b = RFLOAT_VALUE(y); - if (isnan(b)) return Qfalse; - break; - - default: - return rb_num_coerce_relop(x, y, rb_intern(">=")); - } - if (isnan(a)) return Qfalse; - return (a >= b)?Qtrue:Qfalse; -} - -/* - * call-seq: - * flt < other => true or false - * - * <code>true</code> if <code>flt</code> is less than <code>other</code>. - */ - -static VALUE -flo_lt(VALUE x, VALUE y) -{ - double a, b; - - a = RFLOAT_VALUE(x); - switch (TYPE(y)) { - case T_FIXNUM: - b = (double)FIX2LONG(y); - break; - - case T_BIGNUM: - b = rb_big2dbl(y); - break; - - case T_FLOAT: - b = RFLOAT_VALUE(y); - if (isnan(b)) return Qfalse; - break; - - default: - return rb_num_coerce_relop(x, y, '<'); - } - if (isnan(a)) return Qfalse; - return (a < b)?Qtrue:Qfalse; -} - -/* - * call-seq: - * flt <= other => true or false - * - * <code>true</code> if <code>flt</code> is less than - * or equal to <code>other</code>. - */ - -static VALUE -flo_le(VALUE x, VALUE y) -{ - double a, b; - - a = RFLOAT_VALUE(x); - switch (TYPE(y)) { - case T_FIXNUM: - b = (double)FIX2LONG(y); - break; - - case T_BIGNUM: - b = rb_big2dbl(y); - break; - - case T_FLOAT: - b = RFLOAT_VALUE(y); - if (isnan(b)) return Qfalse; - break; - - default: - return rb_num_coerce_relop(x, y, rb_intern("<=")); - } - if (isnan(a)) return Qfalse; - return (a <= b)?Qtrue:Qfalse; -} - -/* - * call-seq: - * flt.eql?(obj) => true or false - * - * Returns <code>true</code> only if <i>obj</i> is a - * <code>Float</code> with the same value as <i>flt</i>. Contrast this - * with <code>Float#==</code>, which performs type conversions. - * - * 1.0.eql?(1) #=> false - */ - -static VALUE -flo_eql(VALUE x, VALUE y) -{ - if (TYPE(y) == T_FLOAT) { - double a = RFLOAT_VALUE(x); - double b = RFLOAT_VALUE(y); - - if (isnan(a) || isnan(b)) return Qfalse; - if (a == b) return Qtrue; - } - return Qfalse; -} - -/* - * call-seq: - * flt.to_f => flt - * - * As <code>flt</code> is already a float, returns <i>self</i>. - */ - -static VALUE -flo_to_f(VALUE num) -{ - return num; -} - -/* - * call-seq: - * flt.abs => float - * - * Returns the absolute value of <i>flt</i>. - * - * (-34.56).abs #=> 34.56 - * -34.56.abs #=> 34.56 - * - */ - -static VALUE -flo_abs(VALUE flt) -{ - double val = fabs(RFLOAT_VALUE(flt)); - return DOUBLE2NUM(val); -} - -/* - * call-seq: - * flt.zero? -> true or false - * - * Returns <code>true</code> if <i>flt</i> is 0.0. - * - */ - -static VALUE -flo_zero_p(VALUE num) -{ - if (RFLOAT_VALUE(num) == 0.0) { - return Qtrue; - } - return Qfalse; -} - -/* - * call-seq: - * flt.nan? -> true or false - * - * Returns <code>true</code> if <i>flt</i> is an invalid IEEE floating - * point number. - * - * a = -1.0 #=> -1.0 - * a.nan? #=> false - * a = 0.0/0.0 #=> NaN - * a.nan? #=> true - */ - -static VALUE -flo_is_nan_p(VALUE num) -{ - double value = RFLOAT_VALUE(num); - - return isnan(value) ? Qtrue : Qfalse; -} - -/* - * 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 VALUE -flo_is_infinite_p(VALUE num) -{ - double value = RFLOAT_VALUE(num); - - if (isinf(value)) { - return INT2FIX( value < 0 ? -1 : 1 ); - } - - return Qnil; -} - -/* - * 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 VALUE -flo_is_finite_p(VALUE num) -{ - double value = RFLOAT_VALUE(num); - -#if HAVE_FINITE - if (!finite(value)) - return Qfalse; -#else - if (isinf(value) || isnan(value)) - return Qfalse; -#endif - - return Qtrue; -} - -/* - * 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 VALUE -flo_floor(VALUE num) -{ - double f = floor(RFLOAT_VALUE(num)); - long val; - - if (!FIXABLE(f)) { - return rb_dbl2big(f); - } - val = f; - return LONG2FIX(val); -} - -/* - * 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 VALUE -flo_ceil(VALUE num) -{ - double f = ceil(RFLOAT_VALUE(num)); - long val; - - if (!FIXABLE(f)) { - return rb_dbl2big(f); - } - val = f; - return LONG2FIX(val); -} - -/* - * 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 a floating point number when ndigits - * is more than one. - * - * 1.5.round #=> 2 - * (-1.5).round #=> -2 - */ - -static VALUE -flo_round(int argc, VALUE *argv, VALUE num) -{ - VALUE nd; - double number, f; - int ndigits = 0, i; - long val; - - if (argc > 0 && rb_scan_args(argc, argv, "01", &nd) == 1) { - ndigits = NUM2INT(nd); - } - number = RFLOAT_VALUE(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 DOUBLE2NUM(number); - - if (!FIXABLE(number)) { - return rb_dbl2big(number); - } - val = number; - return LONG2FIX(val); -} - -/* - * call-seq: - * flt.to_i => integer - * flt.to_int => integer - * flt.truncate => integer - * - * Returns <i>flt</i> truncated to an <code>Integer</code>. - */ - -static VALUE -flo_truncate(VALUE num) -{ - double f = RFLOAT_VALUE(num); - long val; - - if (f > 0.0) f = floor(f); - if (f < 0.0) f = ceil(f); - - if (!FIXABLE(f)) { - return rb_dbl2big(f); - } - val = f; - return LONG2FIX(val); -} - - -/* - * 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 VALUE -num_floor(VALUE num) -{ - return flo_floor(rb_Float(num)); -} - - -/* - * call-seq: - * num.ceil => integer - * - * Returns the smallest <code>Integer</code> greater than or equal to - * <i>num</i>. Class <code>Numeric</code> achieves this by converting - * itself to a <code>Float</code> then invoking - * <code>Float#ceil</code>. - * - * 1.ceil #=> 1 - * 1.2.ceil #=> 2 - * (-1.2).ceil #=> -1 - * (-1.0).ceil #=> -1 - */ - -static VALUE -num_ceil(VALUE num) -{ - return flo_ceil(rb_Float(num)); -} - -/* - * 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 a floating point number when ndigits - * is more than one. <code>Numeric</code> implements this by converting itself - * to a <code>Float</code> and invoking <code>Float#round</code>. - */ - -static VALUE -num_round(int argc, VALUE* argv, VALUE num) -{ - return flo_round(argc, argv, rb_Float(num)); -} - -/* - * call-seq: - * num.truncate => integer - * - * Returns <i>num</i> truncated to an integer. <code>Numeric</code> - * implements this by converting its value to a float and invoking - * <code>Float#truncate</code>. - */ - -static VALUE -num_truncate(VALUE num) -{ - return flo_truncate(rb_Float(num)); -} - - -/* - * call-seq: - * num.step(limit, step ) {|i| block } => num - * - * Invokes <em>block</em> with the sequence of numbers starting at - * <i>num</i>, incremented by <i>step</i> on each call. The loop - * finishes when the value to be passed to the block is greater than - * <i>limit</i> (if <i>step</i> is positive) or less than - * <i>limit</i> (if <i>step</i> is negative). If all the arguments are - * integers, the loop operates using an integer counter. If any of the - * arguments are floating point numbers, all are converted to floats, - * and the loop is executed <i>floor(n + n*epsilon)+ 1</i> times, - * where <i>n = (limit - num)/step</i>. Otherwise, the loop - * starts at <i>num</i>, uses either the <code><</code> or - * <code>></code> operator to compare the counter against - * <i>limit</i>, and increments itself using the <code>+</code> - * operator. - * - * 1.step(10, 2) { |i| print i, " " } - * Math::E.step(Math::PI, 0.2) { |f| print f, " " } - * - * <em>produces:</em> - * - * 1 3 5 7 9 - * 2.71828182845905 2.91828182845905 3.11828182845905 - */ - -static VALUE -num_step(int argc, VALUE *argv, VALUE from) -{ - VALUE to, step; - - RETURN_ENUMERATOR(from, argc, argv); - if (argc == 1) { - to = argv[0]; - step = INT2FIX(1); - } - else { - if (argc == 2) { - to = argv[0]; - step = argv[1]; - } - else { - rb_raise(rb_eArgError, "wrong number of arguments"); - } - if (rb_equal(step, INT2FIX(0))) { - rb_raise(rb_eArgError, "step can't be 0"); - } - } - - if (FIXNUM_P(from) && FIXNUM_P(to) && FIXNUM_P(step)) { - long i, end, diff; - - i = FIX2LONG(from); - end = FIX2LONG(to); - diff = FIX2LONG(step); - - if (diff > 0) { - while (i <= end) { - rb_yield(LONG2FIX(i)); - i += diff; - } - } - else { - while (i >= end) { - rb_yield(LONG2FIX(i)); - i += diff; - } - } - } - else if (TYPE(from) == T_FLOAT || TYPE(to) == T_FLOAT || TYPE(step) == T_FLOAT) { - const double epsilon = DBL_EPSILON; - double beg = NUM2DBL(from); - double end = NUM2DBL(to); - double unit = NUM2DBL(step); - double n = (end - beg)/unit; - double err = (fabs(beg) + fabs(end) + fabs(end-beg)) / fabs(unit) * epsilon; - long i; - - if (err>0.5) err=0.5; - n = floor(n + err) + 1; - for (i=0; i<n; i++) { - rb_yield(DOUBLE2NUM(i*unit+beg)); - } - } - else { - VALUE i = from; - ID cmp; - - if (RTEST(rb_funcall(step, '>', 1, INT2FIX(0)))) { - cmp = '>'; - } - else { - cmp = '<'; - } - for (;;) { - if (RTEST(rb_funcall(i, cmp, 1, to))) break; - rb_yield(i); - i = rb_funcall(i, '+', 1, step); - } - } - return from; -} - -SIGNED_VALUE -rb_num2long(VALUE val) -{ - again: - if (NIL_P(val)) { - rb_raise(rb_eTypeError, "no implicit conversion from nil to integer"); - } - - if (FIXNUM_P(val)) return FIX2LONG(val); - - switch (TYPE(val)) { - case T_FLOAT: - if (RFLOAT_VALUE(val) <= (double)LONG_MAX - && RFLOAT_VALUE(val) >= (double)LONG_MIN) { - return (SIGNED_VALUE)(RFLOAT_VALUE(val)); - } - else { - char buf[24]; - char *s; - - sprintf(buf, "%-.10g", RFLOAT_VALUE(val)); - if ((s = strchr(buf, ' ')) != 0) *s = '\0'; - rb_raise(rb_eRangeError, "float %s out of range of integer", buf); - } - - case T_BIGNUM: - return rb_big2long(val); - - default: - val = rb_to_int(val); - goto again; - } -} - -VALUE -rb_num2ulong(VALUE val) -{ - if (TYPE(val) == T_BIGNUM) { - return rb_big2ulong(val); - } - return (VALUE)rb_num2long(val); -} - -#if SIZEOF_INT < SIZEOF_VALUE -static void -check_int(SIGNED_VALUE num) -{ - const char *s; - - if (num < INT_MIN) { - s = "small"; - } - else if (num > INT_MAX) { - s = "big"; - } - else { - return; - } - rb_raise(rb_eRangeError, "integer %"PRIdVALUE " too %s to convert to `int'", num, s); -} - -static void -check_uint(VALUE num, VALUE sign) -{ - static const VALUE mask = ~(VALUE)UINT_MAX; - - if (RTEST(sign)) { - /* minus */ - if ((num & mask) != mask || (num & ~mask) <= INT_MAX + 1UL) - rb_raise(rb_eRangeError, "integer %"PRIdVALUE " too small to convert to `unsigned int'", num); - } - else { - /* plus */ - if ((num & mask) != 0) - rb_raise(rb_eRangeError, "integer %"PRIuVALUE " too big to convert to `unsigned int'", num); - } -} - -long -rb_num2int(VALUE val) -{ - long num = rb_num2long(val); - - check_int(num); - return num; -} - -long -rb_fix2int(VALUE val) -{ - long num = FIXNUM_P(val)?FIX2LONG(val):rb_num2long(val); - - check_int(num); - return num; -} - -unsigned long -rb_num2uint(VALUE val) -{ - unsigned long num = rb_num2ulong(val); - - check_uint(num, rb_funcall(val, '<', 1, INT2FIX(0))); - return num; -} - -unsigned long -rb_fix2uint(VALUE val) -{ - unsigned long num; - - if (!FIXNUM_P(val)) { - return rb_num2uint(val); - } - num = FIX2ULONG(val); - - check_uint(num, rb_funcall(val, '<', 1, INT2FIX(0))); - return num; -} -#else -long -rb_num2int(VALUE val) -{ - return rb_num2long(val); -} - -long -rb_fix2int(VALUE val) -{ - return FIX2INT(val); -} -#endif - -VALUE -rb_num2fix(VALUE val) -{ - long v; - - if (FIXNUM_P(val)) return val; - - v = rb_num2long(val); - if (!FIXABLE(v)) - rb_raise(rb_eRangeError, "integer %"PRIdVALUE " out of range of fixnum", v); - return LONG2FIX(v); -} - -#if HAVE_LONG_LONG - -LONG_LONG -rb_num2ll(VALUE val) -{ - if (NIL_P(val)) { - rb_raise(rb_eTypeError, "no implicit conversion from nil"); - } - - if (FIXNUM_P(val)) return (LONG_LONG)FIX2LONG(val); - - switch (TYPE(val)) { - case T_FLOAT: - if (RFLOAT_VALUE(val) <= (double)LLONG_MAX - && RFLOAT_VALUE(val) >= (double)LLONG_MIN) { - return (LONG_LONG)(RFLOAT_VALUE(val)); - } - else { - char buf[24]; - char *s; - - sprintf(buf, "%-.10g", RFLOAT_VALUE(val)); - if ((s = strchr(buf, ' ')) != 0) *s = '\0'; - rb_raise(rb_eRangeError, "float %s out of range of long long", buf); - } - - case T_BIGNUM: - return rb_big2ll(val); - - case T_STRING: - rb_raise(rb_eTypeError, "no implicit conversion from string"); - return Qnil; /* not reached */ - - case T_TRUE: - case T_FALSE: - rb_raise(rb_eTypeError, "no implicit conversion from boolean"); - return Qnil; /* not reached */ - - default: - val = rb_to_int(val); - return NUM2LL(val); - } -} - -unsigned LONG_LONG -rb_num2ull(VALUE val) -{ - if (TYPE(val) == T_BIGNUM) { - return rb_big2ull(val); - } - return (unsigned LONG_LONG)rb_num2ll(val); -} - -#endif /* HAVE_LONG_LONG */ - -static VALUE -num_numerator(VALUE num) -{ - return rb_funcall(rb_Rational1(num), rb_intern("numerator"), 0); -} - -static VALUE -num_denominator(VALUE num) -{ - return rb_funcall(rb_Rational1(num), rb_intern("denominator"), 0); -} - -/* - * 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>. - * - */ - - -/* - * call-seq: - * int.to_i => int - * int.to_int => int - * int.floor => int - * int.ceil => int - * int.round => int - * int.truncate => int - * - * As <i>int</i> is already an <code>Integer</code>, all these - * methods simply return the receiver. - */ - -static VALUE -int_to_i(VALUE num) -{ - return num; -} - -/* - * call-seq: - * int.integer? -> true - * - * Always returns <code>true</code>. - */ - -static VALUE -int_int_p(VALUE num) -{ - return Qtrue; -} - -/* - * call-seq: - * int.odd? -> true or false - * - * Returns <code>true</code> if <i>int</i> is an odd number. - */ - -static VALUE -int_odd_p(VALUE num) -{ - if (rb_funcall(num, '%', 1, INT2FIX(2)) != INT2FIX(0)) { - return Qtrue; - } - return Qfalse; -} - -/* - * call-seq: - * int.even? -> true or false - * - * Returns <code>true</code> if <i>int</i> is an even number. - */ - -static VALUE -int_even_p(VALUE num) -{ - if (rb_funcall(num, '%', 1, INT2FIX(2)) == INT2FIX(0)) { - return Qtrue; - } - return Qfalse; -} - -/* - * 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 VALUE -fix_succ(VALUE num) -{ - long i = FIX2LONG(num) + 1; - return LONG2NUM(i); -} - -/* - * 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 VALUE -int_succ(VALUE num) -{ - if (FIXNUM_P(num)) { - long i = FIX2LONG(num) + 1; - return LONG2NUM(i); - } - return rb_funcall(num, '+', 1, INT2FIX(1)); -} - -/* - * call-seq: - * int.pred => integer - * - * Returns the <code>Integer</code> equal to <i>int</i> - 1. - * - * 1.pred #=> 0 - * (-1).pred #=> -2 - */ - -static VALUE -int_pred(VALUE num) -{ - if (FIXNUM_P(num)) { - long i = FIX2LONG(num) - 1; - return LONG2NUM(i); - } - return rb_funcall(num, '-', 1, INT2FIX(1)); -} - -/* - * call-seq: - * int.chr([encoding]) => string - * - * Returns a string containing the character represented by the - * receiver's value according to +encoding+. - * - * 65.chr #=> "A" - * 230.chr #=> "\346" - * 255.chr(Encoding::UTF_8) #=> "\303\277" - */ - -static VALUE -int_chr(int argc, VALUE *argv, VALUE num) -{ - char c; - int n; - long i = NUM2LONG(num); - rb_encoding *enc; - VALUE str; - - switch (argc) { - case 0: - if (i < 0 || 0xff < i) { - out_of_range: - rb_raise(rb_eRangeError, "%"PRIdVALUE " out of char range", i); - } - c = i; - if (i < 0x80) { - return rb_usascii_str_new(&c, 1); - } - else { - return rb_str_new(&c, 1); - } - case 1: - break; - default: - rb_raise(rb_eArgError, "wrong number of arguments (%d for 0 or 1)", argc); - break; - } - enc = rb_to_encoding(argv[0]); - if (!enc) enc = rb_ascii8bit_encoding(); - if (i < 0 || (n = rb_enc_codelen(i, enc)) <= 0) goto out_of_range; - str = rb_enc_str_new(0, n, enc); - rb_enc_mbcput(i, RSTRING_PTR(str), enc); - return str; -} - -static VALUE -int_numerator(VALUE num) -{ - return num; -} - -static VALUE -int_denominator(VALUE num) -{ - return INT2FIX(1); -} - -/******************************************************************** - * - * Document-class: Fixnum - * - * A <code>Fixnum</code> holds <code>Integer</code> values that can be - * represented in a native machine word (minus 1 bit). If any operation - * on a <code>Fixnum</code> exceeds this range, the value is - * automatically converted to a <code>Bignum</code>. - * - * <code>Fixnum</code> objects have immediate value. This means that - * when they are assigned or passed as parameters, the actual object is - * passed, rather than a reference to that object. Assignment does not - * alias <code>Fixnum</code> objects. There is effectively only one - * <code>Fixnum</code> object instance for any given integer value, so, - * for example, you cannot add a singleton method to a - * <code>Fixnum</code>. - */ - - -/* - * call-seq: - * Fixnum.induced_from(obj) => fixnum - * - * Convert <code>obj</code> to a Fixnum. Works with numeric parameters. - * Also works with Symbols, but this is deprecated. - */ - -static VALUE -rb_fix_induced_from(VALUE klass, VALUE x) -{ - return rb_num2fix(x); -} - -/* - * call-seq: - * Integer.induced_from(obj) => fixnum, bignum - * - * Convert <code>obj</code> to an Integer. - */ - -static VALUE -rb_int_induced_from(VALUE klass, VALUE x) -{ - switch (TYPE(x)) { - case T_FIXNUM: - case T_BIGNUM: - return x; - case T_FLOAT: - case T_RATIONAL: - return rb_funcall(x, id_to_i, 0); - default: - rb_raise(rb_eTypeError, "failed to convert %s into Integer", - rb_obj_classname(x)); - } -} - -/* - * call-seq: - * Float.induced_from(obj) => float - * - * Convert <code>obj</code> to a float. - */ - -static VALUE -rb_flo_induced_from(VALUE klass, VALUE x) -{ - switch (TYPE(x)) { - case T_FIXNUM: - case T_BIGNUM: - case T_RATIONAL: - return rb_funcall(x, rb_intern("to_f"), 0); - case T_FLOAT: - return x; - default: - rb_raise(rb_eTypeError, "failed to convert %s into Float", - rb_obj_classname(x)); - } -} - -/* - * call-seq: - * -fix => integer - * - * Negates <code>fix</code> (which might return a Bignum). - */ - -static VALUE -fix_uminus(VALUE num) -{ - return LONG2NUM(-FIX2LONG(num)); -} - -VALUE -rb_fix2str(VALUE x, int base) -{ - extern const char ruby_digitmap[]; - char buf[SIZEOF_VALUE*CHAR_BIT + 2], *b = buf + sizeof buf; - long val = FIX2LONG(x); - int neg = 0; - - if (base < 2 || 36 < base) { - rb_raise(rb_eArgError, "invalid radix %d", base); - } - if (val == 0) { - return rb_usascii_str_new2("0"); - } - if (val < 0) { - val = -val; - neg = 1; - } - *--b = '\0'; - do { - *--b = ruby_digitmap[(int)(val % base)]; - } while (val /= base); - if (neg) { - *--b = '-'; - } - - return rb_usascii_str_new2(b); -} - -/* - * call-seq: - * fix.to_s( base=10 ) -> aString - * - * 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 VALUE -fix_to_s(int argc, VALUE *argv, VALUE x) -{ - int base; - - if (argc == 0) base = 10; - else { - VALUE b; - - rb_scan_args(argc, argv, "01", &b); - base = NUM2INT(b); - } - - return rb_fix2str(x, base); -} - -/* - * 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 VALUE -fix_plus(VALUE x, VALUE y) -{ - if (FIXNUM_P(y)) { - long a, b, c; - VALUE r; - - a = FIX2LONG(x); - b = FIX2LONG(y); - c = a + b; - r = LONG2NUM(c); - - return r; - } - switch (TYPE(y)) { - case T_BIGNUM: - return rb_big_plus(y, x); - case T_FLOAT: - return DOUBLE2NUM((double)FIX2LONG(x) + RFLOAT_VALUE(y)); - default: - return rb_num_coerce_bin(x, y, '+'); - } -} - -/* - * 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 VALUE -fix_minus(VALUE x, VALUE y) -{ - if (FIXNUM_P(y)) { - long a, b, c; - VALUE r; - - a = FIX2LONG(x); - b = FIX2LONG(y); - c = a - b; - r = LONG2NUM(c); - - return r; - } - switch (TYPE(y)) { - case T_BIGNUM: - x = rb_int2big(FIX2LONG(x)); - return rb_big_minus(x, y); - case T_FLOAT: - return DOUBLE2NUM((double)FIX2LONG(x) - RFLOAT_VALUE(y)); - default: - return rb_num_coerce_bin(x, y, '-'); - } -} - -#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)) - -/* - * 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 VALUE -fix_mul(VALUE x, VALUE 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 - SIGNED_VALUE a, b; -#if SIZEOF_VALUE * 2 <= SIZEOF_LONG_LONG - LONG_LONG d; -#else - SIGNED_VALUE c; - VALUE r; -#endif - - a = FIX2LONG(x); - b = FIX2LONG(y); - -#if SIZEOF_VALUE * 2 <= SIZEOF_LONG_LONG - d = (LONG_LONG)a * b; - if (FIXABLE(d)) return LONG2FIX(d); - return rb_ll2inum(d); -#else - if (FIT_SQRT_LONG(a) && FIT_SQRT_LONG(b)) - return LONG2FIX(a*b); - c = a * b; - r = LONG2FIX(c); - - if (a == 0) return x; - if (FIX2LONG(r) != c || c/a != b) { - r = rb_big_mul(rb_int2big(a), rb_int2big(b)); - } - return r; -#endif - } - switch (TYPE(y)) { - case T_BIGNUM: - return rb_big_mul(y, x); - case T_FLOAT: - return DOUBLE2NUM((double)FIX2LONG(x) * RFLOAT_VALUE(y)); - default: - return rb_num_coerce_bin(x, y, '*'); - } -} - -static void -fixdivmod(long x, long y, long *divp, long *modp) -{ - long div, mod; - - if (y == 0) rb_num_zerodiv(); - if (y < 0) { - if (x < 0) - div = -x / -y; - else - div = - (x / -y); - } - else { - if (x < 0) - div = - (-x / y); - else - div = x / y; - } - mod = x - div*y; - if ((mod < 0 && y > 0) || (mod > 0 && y < 0)) { - mod += y; - div -= 1; - } - if (divp) *divp = div; - if (modp) *modp = mod; -} - -/* - * call-seq: - * fix.fdiv(numeric) => float - * - * Returns the floating point result of dividing <i>fix</i> by - * <i>numeric</i>. - * - * 654321.fdiv(13731) #=> 47.6528293642124 - * 654321.fdiv(13731.24) #=> 47.6519964693647 - * - */ - -static VALUE -fix_fdiv(VALUE x, VALUE y) -{ - if (FIXNUM_P(y)) { - return DOUBLE2NUM((double)FIX2LONG(x) / (double)FIX2LONG(y)); - } - switch (TYPE(y)) { - case T_BIGNUM: - return DOUBLE2NUM((double)FIX2LONG(x) / rb_big2dbl(y)); - case T_FLOAT: - return DOUBLE2NUM((double)FIX2LONG(x) / RFLOAT_VALUE(y)); - default: - return rb_num_coerce_bin(x, y, rb_intern("fdiv")); - } -} - -static VALUE -fix_divide(VALUE x, VALUE y, ID op) -{ - if (FIXNUM_P(y)) { - long div; - - fixdivmod(FIX2LONG(x), FIX2LONG(y), &div, 0); - return LONG2NUM(div); - } - switch (TYPE(y)) { - case T_BIGNUM: - x = rb_int2big(FIX2LONG(x)); - return rb_big_div(x, y); - case T_FLOAT: - { - double div; - - if (op == '/') { - div = (double)FIX2LONG(x) / RFLOAT_VALUE(y); - return DOUBLE2NUM(div); - } - else { - if (RFLOAT_VALUE(y) == 0) rb_num_zerodiv(); - div = (double)FIX2LONG(x) / RFLOAT_VALUE(y); - return rb_dbl2big(floor(div)); - } - } - default: - return rb_num_coerce_bin(x, y, op); - } -} - -/* - * 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 VALUE -fix_div(VALUE x, VALUE y) -{ - return fix_divide(x, y, '/'); -} - -/* - * call-seq: - * fix.div(numeric) => numeric_result - * - * Performs integer division: returns integer value. - */ - -static VALUE -fix_idiv(VALUE x, VALUE y) -{ - return fix_divide(x, y, rb_intern("div")); -} - -/* - * call-seq: - * fix % other => Numeric - * fix.modulo(other) => Numeric - * - * Returns <code>fix</code> modulo <code>other</code>. - * See <code>Numeric.divmod</code> for more information. - */ - -static VALUE -fix_mod(VALUE x, VALUE y) -{ - if (FIXNUM_P(y)) { - long mod; - - fixdivmod(FIX2LONG(x), FIX2LONG(y), 0, &mod); - return LONG2NUM(mod); - } - switch (TYPE(y)) { - case T_BIGNUM: - x = rb_int2big(FIX2LONG(x)); - return rb_big_modulo(x, y); - case T_FLOAT: - { - double mod; - - flodivmod((double)FIX2LONG(x), RFLOAT_VALUE(y), 0, &mod); - return DOUBLE2NUM(mod); - } - default: - return rb_num_coerce_bin(x, y, '%'); - } -} - -/* - * call-seq: - * fix.divmod(numeric) => array - * - * See <code>Numeric#divmod</code>. - */ -static VALUE -fix_divmod(VALUE x, VALUE y) -{ - if (FIXNUM_P(y)) { - long div, mod; - - fixdivmod(FIX2LONG(x), FIX2LONG(y), &div, &mod); - - return rb_assoc_new(LONG2NUM(div), LONG2NUM(mod)); - } - switch (TYPE(y)) { - case T_BIGNUM: - x = rb_int2big(FIX2LONG(x)); - return rb_big_divmod(x, y); - case T_FLOAT: - { - double div, mod; - volatile VALUE a, b; - - flodivmod((double)FIX2LONG(x), RFLOAT_VALUE(y), &div, &mod); - a = dbl2ival(div); - b = DOUBLE2NUM(mod); - return rb_assoc_new(a, b); - } - default: - return rb_num_coerce_bin(x, y, rb_intern("divmod")); - } -} - -static VALUE -int_pow(long x, unsigned long y) -{ - int neg = x < 0; - long z = 1; - - if (neg) x = -x; - if (y & 1) - z = x; - else - neg = 0; - y &= ~1; - do { - while (y % 2 == 0) { - if (!FIT_SQRT_LONG(x)) { - VALUE v; - bignum: - v = rb_big_pow(rb_int2big(x), LONG2NUM(y)); - if (z != 1) v = rb_big_mul(rb_int2big(neg ? -z : z), v); - return v; - } - x = x * x; - y >>= 1; - } - { - long xz = x * z; - if (!POSFIXABLE(xz) || xz / x != z) { - goto bignum; - } - z = xz; - } - } while (--y); - if (neg) z = -z; - return LONG2NUM(z); -} - -/* - * call-seq: - * fix ** other => Numeric - * - * Raises <code>fix</code> to the <code>other</code> power, which may - * be negative or fractional. - * - * 2 ** 3 #=> 8 - * 2 ** -1 #=> 0.5 - * 2 ** 0.5 #=> 1.4142135623731 - */ - -static VALUE -fix_pow(VALUE x, VALUE y) -{ - static const double zero = 0.0; - long a = FIX2LONG(x); - - if (FIXNUM_P(y)) { - long b = FIX2LONG(y); - - if (b < 0) - return rb_funcall(rb_rational_raw1(x), rb_intern("**"), 1, y); - - if (b == 0) return INT2FIX(1); - if (b == 1) return x; - if (a == 0) { - if (b > 0) return INT2FIX(0); - return DOUBLE2NUM(1.0 / zero); - } - if (a == 1) return INT2FIX(1); - if (a == -1) { - if (b % 2 == 0) - return INT2FIX(1); - else - return INT2FIX(-1); - } - return int_pow(a, b); - } - switch (TYPE(y)) { - case T_BIGNUM: - - if (rb_funcall(y, '<', 1, INT2FIX(0))) - return rb_funcall(rb_rational_raw1(x), rb_intern("**"), 1, y); - - if (a == 0) return INT2FIX(0); - if (a == 1) return INT2FIX(1); - if (a == -1) { - if (int_even_p(y)) return INT2FIX(1); - else return INT2FIX(-1); - } - x = rb_int2big(FIX2LONG(x)); - return rb_big_pow(x, y); - case T_FLOAT: - if (RFLOAT_VALUE(y) == 0.0) return DOUBLE2NUM(1.0); - if (a == 0) { - return DOUBLE2NUM(RFLOAT_VALUE(y) < 0 ? (1.0 / zero) : 0.0); - } - if (a == 1) return DOUBLE2NUM(1.0); - return DOUBLE2NUM(pow((double)a, RFLOAT_VALUE(y))); - default: - return rb_num_coerce_bin(x, y, rb_intern("**")); - } -} - -/* - * call-seq: - * fix == other - * - * Return <code>true</code> if <code>fix</code> equals <code>other</code> - * numerically. - * - * 1 == 2 #=> false - * 1 == 1.0 #=> true - */ - -static VALUE -fix_equal(VALUE x, VALUE y) -{ - if (x == y) return Qtrue; - if (FIXNUM_P(y)) return Qfalse; - switch (TYPE(y)) { - case T_BIGNUM: - return rb_big_eq(y, x); - case T_FLOAT: - return (double)FIX2LONG(x) == RFLOAT_VALUE(y) ? Qtrue : Qfalse; - default: - return num_equal(x, y); - } -} - -/* - * call-seq: - * fix <=> numeric => -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 VALUE -fix_cmp(VALUE x, VALUE y) -{ - if (x == y) return INT2FIX(0); - if (FIXNUM_P(y)) { - if (FIX2LONG(x) > FIX2LONG(y)) return INT2FIX(1); - return INT2FIX(-1); - } - switch (TYPE(y)) { - case T_BIGNUM: - return rb_big_cmp(rb_int2big(FIX2LONG(x)), y); - case T_FLOAT: - return rb_dbl_cmp((double)FIX2LONG(x), RFLOAT_VALUE(y)); - default: - return rb_num_coerce_cmp(x, y, rb_intern("<=>")); - } -} - -/* - * 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>. - */ - -static VALUE -fix_gt(VALUE x, VALUE y) -{ - if (FIXNUM_P(y)) { - if (FIX2LONG(x) > FIX2LONG(y)) return Qtrue; - return Qfalse; - } - switch (TYPE(y)) { - case T_BIGNUM: - return FIX2INT(rb_big_cmp(rb_int2big(FIX2LONG(x)), y)) > 0 ? Qtrue : Qfalse; - case T_FLOAT: - return (double)FIX2LONG(x) > RFLOAT_VALUE(y) ? Qtrue : Qfalse; - default: - return rb_num_coerce_relop(x, y, '>'); - } -} - -/* - * call-seq: - * fix >= other => true or false - * - * Returns <code>true</code> if the value of <code>fix</code> is - * greater than or equal to that of <code>other</code>. - */ - -static VALUE -fix_ge(VALUE x, VALUE y) -{ - if (FIXNUM_P(y)) { - if (FIX2LONG(x) >= FIX2LONG(y)) return Qtrue; - return Qfalse; - } - switch (TYPE(y)) { - case T_BIGNUM: - return FIX2INT(rb_big_cmp(rb_int2big(FIX2LONG(x)), y)) >= 0 ? Qtrue : Qfalse; - case T_FLOAT: - return (double)FIX2LONG(x) >= RFLOAT_VALUE(y) ? Qtrue : Qfalse; - default: - return rb_num_coerce_relop(x, y, rb_intern(">=")); - } -} - -/* - * call-seq: - * fix < other => true or false - * - * Returns <code>true</code> if the value of <code>fix</code> is - * less than that of <code>other</code>. - */ - -static VALUE -fix_lt(VALUE x, VALUE y) -{ - if (FIXNUM_P(y)) { - if (FIX2LONG(x) < FIX2LONG(y)) return Qtrue; - return Qfalse; - } - switch (TYPE(y)) { - case T_BIGNUM: - return FIX2INT(rb_big_cmp(rb_int2big(FIX2LONG(x)), y)) < 0 ? Qtrue : Qfalse; - case T_FLOAT: - return (double)FIX2LONG(x) < RFLOAT_VALUE(y) ? Qtrue : Qfalse; - default: - return rb_num_coerce_relop(x, y, '<'); - } -} - -/* - * call-seq: - * fix <= other => true or false - * - * Returns <code>true</code> if the value of <code>fix</code> is - * less than or equal to that of <code>other</code>. - */ - -static VALUE -fix_le(VALUE x, VALUE y) -{ - if (FIXNUM_P(y)) { - if (FIX2LONG(x) <= FIX2LONG(y)) return Qtrue; - return Qfalse; - } - switch (TYPE(y)) { - case T_BIGNUM: - return FIX2INT(rb_big_cmp(rb_int2big(FIX2LONG(x)), y)) <= 0 ? Qtrue : Qfalse; - case T_FLOAT: - return (double)FIX2LONG(x) <= RFLOAT_VALUE(y) ? Qtrue : Qfalse; - default: - return rb_num_coerce_relop(x, y, rb_intern("<=")); - } -} - -/* - * call-seq: - * ~fix => integer - * - * One's complement: returns a number where each bit is flipped. - */ - -static VALUE -fix_rev(VALUE num) -{ - long val = FIX2LONG(num); - - val = ~val; - return LONG2NUM(val); -} - -static VALUE -bit_coerce(VALUE x) -{ - while (!FIXNUM_P(x) && TYPE(x) != T_BIGNUM) { - if (TYPE(x) == T_FLOAT) { - rb_raise(rb_eTypeError, "can't convert Float into Integer"); - } - x = rb_to_int(x); - } - return x; -} - -/* - * call-seq: - * fix & other => integer - * - * Bitwise AND. - */ - -static VALUE -fix_and(VALUE x, VALUE y) -{ - long val; - - if (!FIXNUM_P(y = bit_coerce(y))) { - return rb_big_and(y, x); - } - val = FIX2LONG(x) & FIX2LONG(y); - return LONG2NUM(val); -} - -/* - * call-seq: - * fix | other => integer - * - * Bitwise OR. - */ - -static VALUE -fix_or(VALUE x, VALUE y) -{ - long val; - - if (!FIXNUM_P(y = bit_coerce(y))) { - return rb_big_or(y, x); - } - val = FIX2LONG(x) | FIX2LONG(y); - return LONG2NUM(val); -} - -/* - * call-seq: - * fix ^ other => integer - * - * Bitwise EXCLUSIVE OR. - */ - -static VALUE -fix_xor(VALUE x, VALUE y) -{ - long val; - - if (!FIXNUM_P(y = bit_coerce(y))) { - return rb_big_xor(y, x); - } - val = FIX2LONG(x) ^ FIX2LONG(y); - return LONG2NUM(val); -} - -static VALUE fix_lshift(long, unsigned long); -static VALUE fix_rshift(long, unsigned long); - -/* - * call-seq: - * fix << count => integer - * - * Shifts _fix_ left _count_ positions (right if _count_ is negative). - */ - -static VALUE -rb_fix_lshift(VALUE x, VALUE y) -{ - long val, width; - - val = NUM2LONG(x); - if (!FIXNUM_P(y)) - return rb_big_lshift(rb_int2big(val), y); - width = FIX2LONG(y); - if (width < 0) - return fix_rshift(val, (unsigned long)-width); - return fix_lshift(val, width); -} - -static VALUE -fix_lshift(long val, unsigned long width) -{ - if (width > (SIZEOF_LONG*CHAR_BIT-1) - || ((unsigned long)val)>>(SIZEOF_LONG*CHAR_BIT-1-width) > 0) { - return rb_big_lshift(rb_int2big(val), ULONG2NUM(width)); - } - val = val << width; - return LONG2NUM(val); -} - -/* - * call-seq: - * fix >> count => integer - * - * Shifts _fix_ right _count_ positions (left if _count_ is negative). - */ - -static VALUE -rb_fix_rshift(VALUE x, VALUE y) -{ - long i, val; - - val = FIX2LONG(x); - if (!FIXNUM_P(y)) - return rb_big_rshift(rb_int2big(val), y); - i = FIX2LONG(y); - if (i == 0) return x; - if (i < 0) - return fix_lshift(val, (unsigned long)-i); - return fix_rshift(val, i); -} - -static VALUE -fix_rshift(long val, unsigned long i) -{ - if (i >= sizeof(long)*CHAR_BIT-1) { - if (val < 0) return INT2FIX(-1); - return INT2FIX(0); - } - val = RSHIFT(val, i); - return LONG2FIX(val); -} - -/* - * call-seq: - * fix[n] => 0, 1 - * - * Bit Reference---Returns the <em>n</em>th bit in the binary - * representation of <i>fix</i>, where <i>fix</i>[0] is the least - * significant bit. - * - * a = 0b11001100101010 - * 30.downto(0) do |n| print a[n] end - * - * <em>produces:</em> - * - * 0000000000000000011001100101010 - */ - -static VALUE -fix_aref(VALUE fix, VALUE idx) -{ - long val = FIX2LONG(fix); - long i; - - idx = rb_to_int(idx); - if (!FIXNUM_P(idx)) { - idx = rb_big_norm(idx); - if (!FIXNUM_P(idx)) { - if (!RBIGNUM_SIGN(idx) || val >= 0) - return INT2FIX(0); - return INT2FIX(1); - } - } - i = FIX2LONG(idx); - - if (i < 0) return INT2FIX(0); - if (SIZEOF_LONG*CHAR_BIT-1 < i) { - if (val < 0) return INT2FIX(1); - return INT2FIX(0); - } - if (val & (1L<<i)) - return INT2FIX(1); - return INT2FIX(0); -} - -/* - * call-seq: - * fix.to_f -> float - * - * Converts <i>fix</i> to a <code>Float</code>. - * - */ - -static VALUE -fix_to_f(VALUE num) -{ - double val; - - val = (double)FIX2LONG(num); - - return DOUBLE2NUM(val); -} - -/* - * call-seq: - * fix.abs -> aFixnum - * - * Returns the absolute value of <i>fix</i>. - * - * -12345.abs #=> 12345 - * 12345.abs #=> 12345 - * - */ - -static VALUE -fix_abs(VALUE fix) -{ - long i = FIX2LONG(fix); - - if (i < 0) i = -i; - - return LONG2NUM(i); -} - - - -/* - * call-seq: - * fix.size -> fixnum - * - * Returns the number of <em>bytes</em> in the machine representation - * of a <code>Fixnum</code>. - * - * 1.size #=> 4 - * -1.size #=> 4 - * 2147483647.size #=> 4 - */ - -static VALUE -fix_size(VALUE fix) -{ - return INT2FIX(sizeof(long)); -} - -/* - * call-seq: - * int.upto(limit) {|i| block } => int - * - * Iterates <em>block</em>, passing in integer values from <i>int</i> - * up to and including <i>limit</i>. - * - * 5.upto(10) { |i| print i, " " } - * - * <em>produces:</em> - * - * 5 6 7 8 9 10 - */ - -static VALUE -int_upto(VALUE from, VALUE to) -{ - RETURN_ENUMERATOR(from, 1, &to); - if (FIXNUM_P(from) && FIXNUM_P(to)) { - long i, end; - - end = FIX2LONG(to); - for (i = FIX2LONG(from); i <= end; i++) { - rb_yield(LONG2FIX(i)); - } - } - else { - VALUE i = from, c; - - while (!(c = rb_funcall(i, '>', 1, to))) { - rb_yield(i); - i = rb_funcall(i, '+', 1, INT2FIX(1)); - } - if (NIL_P(c)) rb_cmperr(i, to); - } - return from; -} - -/* - * call-seq: - * int.downto(limit) {|i| block } => int - * - * Iterates <em>block</em>, passing decreasing values from <i>int</i> - * down to and including <i>limit</i>. - * - * 5.downto(1) { |n| print n, ".. " } - * print " Liftoff!\n" - * - * <em>produces:</em> - * - * 5.. 4.. 3.. 2.. 1.. Liftoff! - */ - -static VALUE -int_downto(VALUE from, VALUE to) -{ - RETURN_ENUMERATOR(from, 1, &to); - if (FIXNUM_P(from) && FIXNUM_P(to)) { - long i, end; - - end = FIX2LONG(to); - for (i=FIX2LONG(from); i >= end; i--) { - rb_yield(LONG2FIX(i)); - } - } - else { - VALUE i = from, c; - - while (!(c = rb_funcall(i, '<', 1, to))) { - rb_yield(i); - i = rb_funcall(i, '-', 1, INT2FIX(1)); - } - if (NIL_P(c)) rb_cmperr(i, to); - } - return from; -} - -/* - * call-seq: - * int.times {|i| block } => int - * - * Iterates block <i>int</i> times, passing in values from zero to - * <i>int</i> - 1. - * - * 5.times do |i| - * print i, " " - * end - * - * <em>produces:</em> - * - * 0 1 2 3 4 - */ - -static VALUE -int_dotimes(VALUE num) -{ - RETURN_ENUMERATOR(num, 0, 0); - - if (FIXNUM_P(num)) { - long i, end; - - end = FIX2LONG(num); - for (i=0; i<end; i++) { - rb_yield(LONG2FIX(i)); - } - } - else { - VALUE i = INT2FIX(0); - - for (;;) { - if (!RTEST(rb_funcall(i, '<', 1, num))) break; - rb_yield(i); - i = rb_funcall(i, '+', 1, INT2FIX(1)); - } - } - return num; -} - -static VALUE -int_round(int argc, VALUE* argv, VALUE num) -{ - VALUE n, f, h, r; - int ndigits; - - if (argc == 0) return num; - rb_scan_args(argc, argv, "1", &n); - ndigits = NUM2INT(n); - if (ndigits > 0) { - return rb_Float(num); - } - if (ndigits == 0) { - return num; - } - ndigits = -ndigits; - if (ndigits < 0) { - rb_raise(rb_eArgError, "ndigits out of range"); - } - f = int_pow(10, ndigits); - if (FIXNUM_P(num) && FIXNUM_P(f)) { - SIGNED_VALUE x = FIX2LONG(num), y = FIX2LONG(f); - int neg = x < 0; - if (neg) x = -x; - x = (x + y / 2) / y * y; - if (neg) x = -x; - return LONG2NUM(x); - } - h = rb_funcall(f, '/', 1, INT2FIX(2)); - r = rb_funcall(num, '%', 1, f); - n = rb_funcall(num, '-', 1, r); - if (!RTEST(rb_funcall(r, '<', 1, h))) { - n = rb_funcall(n, '+', 1, f); - } - return n; -} - -/* - * call-seq: - * fix.zero? => true or false - * - * Returns <code>true</code> if <i>fix</i> is zero. - * - */ - -static VALUE -fix_zero_p(VALUE num) -{ - if (FIX2LONG(num) == 0) { - return Qtrue; - } - return Qfalse; -} - -/* - * call-seq: - * fix.odd? -> true or false - * - * Returns <code>true</code> if <i>fix</i> is an odd number. - */ - -static VALUE -fix_odd_p(VALUE num) -{ - if (num & 2) { - return Qtrue; - } - return Qfalse; -} - -/* - * call-seq: - * fix.even? -> true or false - * - * Returns <code>true</code> if <i>fix</i> is an even number. - */ - -static VALUE -fix_even_p(VALUE num) -{ - if (num & 2) { - return Qfalse; - } - return Qtrue; -} - -void -Init_Numeric(void) -{ -#undef rb_intern -#define rb_intern(str) rb_intern_const(str) - -#if defined(__FreeBSD__) && __FreeBSD__ < 4 - /* allow divide by zero -- Inf */ - fpsetmask(fpgetmask() & ~(FP_X_DZ|FP_X_INV|FP_X_OFL)); -#elif defined(_UNICOSMP) - /* Turn off floating point exceptions for divide by zero, etc. */ - _set_Creg(0, 0); -#elif defined(__BORLANDC__) - /* Turn off floating point exceptions for overflow, etc. */ - _control87(MCW_EM, MCW_EM); -#endif - id_coerce = rb_intern("coerce"); - id_to_i = rb_intern("to_i"); - id_eq = rb_intern("=="); - - rb_eZeroDivError = rb_define_class("ZeroDivisionError", rb_eStandardError); - rb_eFloatDomainError = rb_define_class("FloatDomainError", rb_eRangeError); - rb_cNumeric = rb_define_class("Numeric", rb_cObject); - - rb_define_method(rb_cNumeric, "singleton_method_added", num_sadded, 1); - rb_include_module(rb_cNumeric, rb_mComparable); - rb_define_method(rb_cNumeric, "initialize_copy", num_init_copy, 1); - rb_define_method(rb_cNumeric, "coerce", num_coerce, 1); - - rb_define_method(rb_cNumeric, "+@", num_uplus, 0); - rb_define_method(rb_cNumeric, "-@", num_uminus, 0); - rb_define_method(rb_cNumeric, "<=>", num_cmp, 1); - rb_define_method(rb_cNumeric, "eql?", num_eql, 1); - rb_define_method(rb_cNumeric, "quo", num_quo, 1); - rb_define_method(rb_cNumeric, "fdiv", num_fdiv, 1); - rb_define_method(rb_cNumeric, "div", num_div, 1); - rb_define_method(rb_cNumeric, "divmod", num_divmod, 1); - rb_define_method(rb_cNumeric, "modulo", num_modulo, 1); - rb_define_method(rb_cNumeric, "remainder", num_remainder, 1); - rb_define_method(rb_cNumeric, "abs", num_abs, 0); - rb_define_method(rb_cNumeric, "to_int", num_to_int, 0); - - rb_define_method(rb_cNumeric, "scalar?", num_scalar_p, 0); - rb_define_method(rb_cNumeric, "integer?", num_int_p, 0); - rb_define_method(rb_cNumeric, "zero?", num_zero_p, 0); - rb_define_method(rb_cNumeric, "nonzero?", num_nonzero_p, 0); - - rb_define_method(rb_cNumeric, "floor", num_floor, 0); - rb_define_method(rb_cNumeric, "ceil", num_ceil, 0); - rb_define_method(rb_cNumeric, "round", num_round, -1); - rb_define_method(rb_cNumeric, "truncate", num_truncate, 0); - rb_define_method(rb_cNumeric, "step", num_step, -1); - - rb_define_method(rb_cNumeric, "numerator", num_numerator, 0); - rb_define_method(rb_cNumeric, "denominator", num_denominator, 0); - - rb_cInteger = rb_define_class("Integer", rb_cNumeric); - rb_undef_alloc_func(rb_cInteger); - rb_undef_method(CLASS_OF(rb_cInteger), "new"); - - rb_define_method(rb_cInteger, "integer?", int_int_p, 0); - rb_define_method(rb_cInteger, "odd?", int_odd_p, 0); - rb_define_method(rb_cInteger, "even?", int_even_p, 0); - rb_define_method(rb_cInteger, "upto", int_upto, 1); - rb_define_method(rb_cInteger, "downto", int_downto, 1); - rb_define_method(rb_cInteger, "times", int_dotimes, 0); - rb_include_module(rb_cInteger, rb_mPrecision); - rb_define_method(rb_cInteger, "succ", int_succ, 0); - rb_define_method(rb_cInteger, "next", int_succ, 0); - rb_define_method(rb_cInteger, "pred", int_pred, 0); - rb_define_method(rb_cInteger, "chr", int_chr, -1); - rb_define_method(rb_cInteger, "to_i", int_to_i, 0); - rb_define_method(rb_cInteger, "to_int", int_to_i, 0); - rb_define_method(rb_cInteger, "floor", int_to_i, 0); - rb_define_method(rb_cInteger, "ceil", int_to_i, 0); - rb_define_method(rb_cInteger, "truncate", int_to_i, 0); - rb_define_method(rb_cInteger, "round", int_round, -1); - - rb_cFixnum = rb_define_class("Fixnum", rb_cInteger); - rb_include_module(rb_cFixnum, rb_mPrecision); - rb_define_singleton_method(rb_cFixnum, "induced_from", rb_fix_induced_from, 1); - rb_define_singleton_method(rb_cInteger, "induced_from", rb_int_induced_from, 1); - - rb_define_method(rb_cInteger, "numerator", int_numerator, 0); - rb_define_method(rb_cInteger, "denominator", int_denominator, 0); - - rb_define_method(rb_cFixnum, "to_s", fix_to_s, -1); - - rb_define_method(rb_cFixnum, "-@", fix_uminus, 0); - rb_define_method(rb_cFixnum, "+", fix_plus, 1); - rb_define_method(rb_cFixnum, "-", fix_minus, 1); - rb_define_method(rb_cFixnum, "*", fix_mul, 1); - rb_define_method(rb_cFixnum, "/", fix_div, 1); - rb_define_method(rb_cFixnum, "div", fix_idiv, 1); - rb_define_method(rb_cFixnum, "%", fix_mod, 1); - rb_define_method(rb_cFixnum, "modulo", fix_mod, 1); - rb_define_method(rb_cFixnum, "divmod", fix_divmod, 1); - rb_define_method(rb_cFixnum, "fdiv", fix_fdiv, 1); - rb_define_method(rb_cFixnum, "**", fix_pow, 1); - - rb_define_method(rb_cFixnum, "abs", fix_abs, 0); - - rb_define_method(rb_cFixnum, "==", fix_equal, 1); - rb_define_method(rb_cFixnum, "<=>", fix_cmp, 1); - rb_define_method(rb_cFixnum, ">", fix_gt, 1); - rb_define_method(rb_cFixnum, ">=", fix_ge, 1); - rb_define_method(rb_cFixnum, "<", fix_lt, 1); - rb_define_method(rb_cFixnum, "<=", fix_le, 1); - - rb_define_method(rb_cFixnum, "~", fix_rev, 0); - rb_define_method(rb_cFixnum, "&", fix_and, 1); - rb_define_method(rb_cFixnum, "|", fix_or, 1); - rb_define_method(rb_cFixnum, "^", fix_xor, 1); - rb_define_method(rb_cFixnum, "[]", fix_aref, 1); - - rb_define_method(rb_cFixnum, "<<", rb_fix_lshift, 1); - rb_define_method(rb_cFixnum, ">>", rb_fix_rshift, 1); - - rb_define_method(rb_cFixnum, "to_f", fix_to_f, 0); - rb_define_method(rb_cFixnum, "size", fix_size, 0); - rb_define_method(rb_cFixnum, "zero?", fix_zero_p, 0); - rb_define_method(rb_cFixnum, "odd?", fix_odd_p, 0); - rb_define_method(rb_cFixnum, "even?", fix_even_p, 0); - rb_define_method(rb_cFixnum, "succ", fix_succ, 0); - - rb_cFloat = rb_define_class("Float", rb_cNumeric); - - rb_undef_alloc_func(rb_cFloat); - rb_undef_method(CLASS_OF(rb_cFloat), "new"); - - rb_define_singleton_method(rb_cFloat, "induced_from", rb_flo_induced_from, 1); - rb_include_module(rb_cFloat, rb_mPrecision); - - rb_define_const(rb_cFloat, "ROUNDS", INT2FIX(FLT_ROUNDS)); - rb_define_const(rb_cFloat, "RADIX", INT2FIX(FLT_RADIX)); - rb_define_const(rb_cFloat, "MANT_DIG", INT2FIX(DBL_MANT_DIG)); - rb_define_const(rb_cFloat, "DIG", INT2FIX(DBL_DIG)); - rb_define_const(rb_cFloat, "MIN_EXP", INT2FIX(DBL_MIN_EXP)); - rb_define_const(rb_cFloat, "MAX_EXP", INT2FIX(DBL_MAX_EXP)); - rb_define_const(rb_cFloat, "MIN_10_EXP", INT2FIX(DBL_MIN_10_EXP)); - rb_define_const(rb_cFloat, "MAX_10_EXP", INT2FIX(DBL_MAX_10_EXP)); - rb_define_const(rb_cFloat, "MIN", DOUBLE2NUM(DBL_MIN)); - rb_define_const(rb_cFloat, "MAX", DOUBLE2NUM(DBL_MAX)); - rb_define_const(rb_cFloat, "EPSILON", DOUBLE2NUM(DBL_EPSILON)); - - rb_define_method(rb_cFloat, "to_s", flo_to_s, 0); - rb_define_method(rb_cFloat, "coerce", flo_coerce, 1); - rb_define_method(rb_cFloat, "-@", flo_uminus, 0); - rb_define_method(rb_cFloat, "+", flo_plus, 1); - rb_define_method(rb_cFloat, "-", flo_minus, 1); - rb_define_method(rb_cFloat, "*", flo_mul, 1); - rb_define_method(rb_cFloat, "/", flo_div, 1); - rb_define_method(rb_cFloat, "quo", flo_quo, 1); - rb_define_method(rb_cFloat, "fdiv", flo_quo, 1); - rb_define_method(rb_cFloat, "%", flo_mod, 1); - rb_define_method(rb_cFloat, "modulo", flo_mod, 1); - rb_define_method(rb_cFloat, "divmod", flo_divmod, 1); - rb_define_method(rb_cFloat, "**", flo_pow, 1); - rb_define_method(rb_cFloat, "==", flo_eq, 1); - rb_define_method(rb_cFloat, "<=>", flo_cmp, 1); - rb_define_method(rb_cFloat, ">", flo_gt, 1); - rb_define_method(rb_cFloat, ">=", flo_ge, 1); - rb_define_method(rb_cFloat, "<", flo_lt, 1); - rb_define_method(rb_cFloat, "<=", flo_le, 1); - rb_define_method(rb_cFloat, "eql?", flo_eql, 1); - rb_define_method(rb_cFloat, "hash", flo_hash, 0); - rb_define_method(rb_cFloat, "to_f", flo_to_f, 0); - rb_define_method(rb_cFloat, "abs", flo_abs, 0); - rb_define_method(rb_cFloat, "zero?", flo_zero_p, 0); - - rb_define_method(rb_cFloat, "to_i", flo_truncate, 0); - rb_define_method(rb_cFloat, "to_int", flo_truncate, 0); - rb_define_method(rb_cFloat, "floor", flo_floor, 0); - rb_define_method(rb_cFloat, "ceil", flo_ceil, 0); - rb_define_method(rb_cFloat, "round", flo_round, -1); - rb_define_method(rb_cFloat, "truncate", flo_truncate, 0); - - rb_define_method(rb_cFloat, "nan?", flo_is_nan_p, 0); - rb_define_method(rb_cFloat, "infinite?", flo_is_infinite_p, 0); - rb_define_method(rb_cFloat, "finite?", flo_is_finite_p, 0); -} |