[270] | 1 | /*
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| 2 | ** numeric.c - Numeric, Integer, Float, Fixnum class
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| 3 | **
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| 4 | ** See Copyright Notice in mruby.h
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| 5 | */
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| 6 |
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| 7 | #include <float.h>
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| 8 | #include <limits.h>
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| 9 | #include <math.h>
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| 10 | #include <stdlib.h>
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| 11 |
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[331] | 12 | #include <mruby.h>
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| 13 | #include <mruby/array.h>
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| 14 | #include <mruby/numeric.h>
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| 15 | #include <mruby/string.h>
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| 16 | #include <mruby/class.h>
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[270] | 17 |
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| 18 | #ifdef MRB_USE_FLOAT
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[331] | 19 | #define trunc(f) truncf(f)
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[270] | 20 | #define floor(f) floorf(f)
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| 21 | #define ceil(f) ceilf(f)
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| 22 | #define fmod(x,y) fmodf(x,y)
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| 23 | #define MRB_FLO_TO_STR_FMT "%.7g"
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| 24 | #else
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| 25 | #define MRB_FLO_TO_STR_FMT "%.14g"
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| 26 | #endif
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| 27 |
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| 28 | MRB_API mrb_float
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| 29 | mrb_to_flo(mrb_state *mrb, mrb_value val)
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| 30 | {
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| 31 | switch (mrb_type(val)) {
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| 32 | case MRB_TT_FIXNUM:
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| 33 | return (mrb_float)mrb_fixnum(val);
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| 34 | case MRB_TT_FLOAT:
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| 35 | break;
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| 36 | default:
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| 37 | mrb_raise(mrb, E_TYPE_ERROR, "non float value");
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| 38 | }
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| 39 | return mrb_float(val);
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| 40 | }
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| 41 |
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| 42 | /*
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| 43 | * call-seq:
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| 44 | *
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| 45 | * num ** other -> num
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| 46 | *
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| 47 | * Raises <code>num</code> the <code>other</code> power.
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| 48 | *
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| 49 | * 2.0**3 #=> 8.0
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| 50 | */
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| 51 | static mrb_value
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| 52 | num_pow(mrb_state *mrb, mrb_value x)
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| 53 | {
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| 54 | mrb_value y;
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[331] | 55 | mrb_float d;
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[270] | 56 |
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| 57 | mrb_get_args(mrb, "o", &y);
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[331] | 58 | if (mrb_fixnum_p(x) && mrb_fixnum_p(y)) {
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| 59 | /* try ipow() */
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| 60 | mrb_int base = mrb_fixnum(x);
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| 61 | mrb_int exp = mrb_fixnum(y);
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| 62 | mrb_int result = 1;
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| 63 |
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| 64 | if (exp < 0) goto float_pow;
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| 65 | for (;;) {
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| 66 | if (exp & 1) {
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| 67 | if (mrb_int_mul_overflow(result, base, &result)) {
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| 68 | goto float_pow;
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| 69 | }
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| 70 | }
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| 71 | exp >>= 1;
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| 72 | if (exp == 0) break;
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| 73 | if (mrb_int_mul_overflow(base, base, &base)) {
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| 74 | goto float_pow;
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| 75 | }
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| 76 | }
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| 77 | return mrb_fixnum_value(result);
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| 78 | }
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| 79 | float_pow:
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| 80 | d = pow(mrb_to_flo(mrb, x), mrb_to_flo(mrb, y));
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[270] | 81 | return mrb_float_value(mrb, d);
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| 82 | }
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| 83 |
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| 84 | /* 15.2.8.3.4 */
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| 85 | /* 15.2.9.3.4 */
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| 86 | /*
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| 87 | * call-seq:
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| 88 | * num / other -> num
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| 89 | *
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| 90 | * Performs division: the class of the resulting object depends on
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| 91 | * the class of <code>num</code> and on the magnitude of the
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| 92 | * result.
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| 93 | */
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| 94 |
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| 95 | mrb_value
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| 96 | mrb_num_div(mrb_state *mrb, mrb_value x, mrb_value y)
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| 97 | {
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| 98 | return mrb_float_value(mrb, mrb_to_flo(mrb, x) / mrb_to_flo(mrb, y));
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| 99 | }
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| 100 |
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| 101 | /* 15.2.9.3.19(x) */
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| 102 | /*
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| 103 | * call-seq:
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| 104 | * num.quo(numeric) -> real
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| 105 | *
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| 106 | * Returns most exact division.
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| 107 | */
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| 108 |
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| 109 | static mrb_value
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| 110 | num_div(mrb_state *mrb, mrb_value x)
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| 111 | {
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| 112 | mrb_float y;
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| 113 |
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| 114 | mrb_get_args(mrb, "f", &y);
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| 115 | return mrb_float_value(mrb, mrb_to_flo(mrb, x) / y);
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| 116 | }
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| 117 |
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| 118 | /********************************************************************
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| 119 | *
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| 120 | * Document-class: Float
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| 121 | *
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| 122 | * <code>Float</code> objects represent inexact real numbers using
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| 123 | * the native architecture's double-precision floating point
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| 124 | * representation.
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| 125 | */
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| 126 |
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| 127 | /* 15.2.9.3.16(x) */
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| 128 | /*
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| 129 | * call-seq:
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| 130 | * flt.to_s -> string
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| 131 | *
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| 132 | * Returns a string containing a representation of self. As well as a
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| 133 | * fixed or exponential form of the number, the call may return
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| 134 | * "<code>NaN</code>", "<code>Infinity</code>", and
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| 135 | * "<code>-Infinity</code>".
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| 136 | */
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| 137 |
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| 138 | static mrb_value
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| 139 | flo_to_s(mrb_state *mrb, mrb_value flt)
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| 140 | {
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| 141 | if (isnan(mrb_float(flt))) {
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| 142 | return mrb_str_new_lit(mrb, "NaN");
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| 143 | }
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| 144 | return mrb_float_to_str(mrb, flt, MRB_FLO_TO_STR_FMT);
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| 145 | }
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| 146 |
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| 147 | /* 15.2.9.3.2 */
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| 148 | /*
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| 149 | * call-seq:
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| 150 | * float - other -> float
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| 151 | *
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| 152 | * Returns a new float which is the difference of <code>float</code>
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| 153 | * and <code>other</code>.
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| 154 | */
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| 155 |
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| 156 | static mrb_value
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| 157 | flo_minus(mrb_state *mrb, mrb_value x)
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| 158 | {
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| 159 | mrb_value y;
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| 160 |
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| 161 | mrb_get_args(mrb, "o", &y);
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| 162 | return mrb_float_value(mrb, mrb_float(x) - mrb_to_flo(mrb, y));
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| 163 | }
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| 164 |
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| 165 | /* 15.2.9.3.3 */
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| 166 | /*
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| 167 | * call-seq:
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| 168 | * float * other -> float
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| 169 | *
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| 170 | * Returns a new float which is the product of <code>float</code>
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| 171 | * and <code>other</code>.
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| 172 | */
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| 173 |
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| 174 | static mrb_value
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| 175 | flo_mul(mrb_state *mrb, mrb_value x)
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| 176 | {
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| 177 | mrb_value y;
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| 178 |
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| 179 | mrb_get_args(mrb, "o", &y);
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| 180 | return mrb_float_value(mrb, mrb_float(x) * mrb_to_flo(mrb, y));
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| 181 | }
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| 182 |
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| 183 | static void
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| 184 | flodivmod(mrb_state *mrb, mrb_float x, mrb_float y, mrb_float *divp, mrb_float *modp)
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| 185 | {
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| 186 | mrb_float div;
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| 187 | mrb_float mod;
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| 188 |
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| 189 | if (y == 0.0) {
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| 190 | div = INFINITY;
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| 191 | mod = NAN;
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| 192 | }
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| 193 | else {
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| 194 | mod = fmod(x, y);
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| 195 | if (isinf(x) && isfinite(y))
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| 196 | div = x;
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| 197 | else
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| 198 | div = (x - mod) / y;
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| 199 | if (y*mod < 0) {
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| 200 | mod += y;
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| 201 | div -= 1.0;
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| 202 | }
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| 203 | }
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| 204 |
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| 205 | if (modp) *modp = mod;
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| 206 | if (divp) *divp = div;
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| 207 | }
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| 208 |
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| 209 | /* 15.2.9.3.5 */
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| 210 | /*
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| 211 | * call-seq:
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| 212 | * flt % other -> float
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| 213 | * flt.modulo(other) -> float
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| 214 | *
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| 215 | * Return the modulo after division of <code>flt</code> by <code>other</code>.
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| 216 | *
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| 217 | * 6543.21.modulo(137) #=> 104.21
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| 218 | * 6543.21.modulo(137.24) #=> 92.9299999999996
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| 219 | */
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| 220 |
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| 221 | static mrb_value
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| 222 | flo_mod(mrb_state *mrb, mrb_value x)
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| 223 | {
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| 224 | mrb_value y;
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| 225 | mrb_float mod;
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| 226 |
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| 227 | mrb_get_args(mrb, "o", &y);
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| 228 |
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| 229 | flodivmod(mrb, mrb_float(x), mrb_to_flo(mrb, y), 0, &mod);
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| 230 | return mrb_float_value(mrb, mod);
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| 231 | }
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| 232 |
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| 233 | /* 15.2.8.3.16 */
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| 234 | /*
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| 235 | * call-seq:
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| 236 | * num.eql?(numeric) -> true or false
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| 237 | *
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| 238 | * Returns <code>true</code> if <i>num</i> and <i>numeric</i> are the
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| 239 | * same type and have equal values.
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| 240 | *
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| 241 | * 1 == 1.0 #=> true
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| 242 | * 1.eql?(1.0) #=> false
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| 243 | * (1.0).eql?(1.0) #=> true
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| 244 | */
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| 245 | static mrb_value
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| 246 | fix_eql(mrb_state *mrb, mrb_value x)
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| 247 | {
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| 248 | mrb_value y;
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| 249 |
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| 250 | mrb_get_args(mrb, "o", &y);
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| 251 | if (!mrb_fixnum_p(y)) return mrb_false_value();
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| 252 | return mrb_bool_value(mrb_fixnum(x) == mrb_fixnum(y));
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| 253 | }
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| 254 |
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| 255 | static mrb_value
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| 256 | flo_eql(mrb_state *mrb, mrb_value x)
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| 257 | {
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| 258 | mrb_value y;
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| 259 |
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| 260 | mrb_get_args(mrb, "o", &y);
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| 261 | if (!mrb_float_p(y)) return mrb_false_value();
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| 262 | return mrb_bool_value(mrb_float(x) == (mrb_float)mrb_fixnum(y));
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| 263 | }
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| 264 |
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| 265 | /* 15.2.9.3.7 */
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| 266 | /*
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| 267 | * call-seq:
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| 268 | * flt == obj -> true or false
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| 269 | *
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| 270 | * Returns <code>true</code> only if <i>obj</i> has the same value
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| 271 | * as <i>flt</i>. Contrast this with <code>Float#eql?</code>, which
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| 272 | * requires <i>obj</i> to be a <code>Float</code>.
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| 273 | *
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| 274 | * 1.0 == 1 #=> true
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| 275 | *
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| 276 | */
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| 277 |
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| 278 | static mrb_value
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| 279 | flo_eq(mrb_state *mrb, mrb_value x)
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| 280 | {
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| 281 | mrb_value y;
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| 282 | mrb_get_args(mrb, "o", &y);
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| 283 |
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| 284 | switch (mrb_type(y)) {
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| 285 | case MRB_TT_FIXNUM:
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| 286 | return mrb_bool_value(mrb_float(x) == (mrb_float)mrb_fixnum(y));
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| 287 | case MRB_TT_FLOAT:
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| 288 | return mrb_bool_value(mrb_float(x) == mrb_float(y));
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| 289 | default:
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| 290 | return mrb_false_value();
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| 291 | }
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| 292 | }
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| 293 |
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[331] | 294 | static int64_t
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| 295 | value_int64(mrb_state *mrb, mrb_value x)
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| 296 | {
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| 297 | switch (mrb_type(x)) {
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| 298 | case MRB_TT_FIXNUM:
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| 299 | return (int64_t)mrb_fixnum(x);
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| 300 | break;
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| 301 | case MRB_TT_FLOAT:
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| 302 | return (int64_t)mrb_float(x);
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| 303 | default:
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| 304 | mrb_raise(mrb, E_TYPE_ERROR, "cannot convert to Integer");
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| 305 | break;
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| 306 | }
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| 307 | /* not reached */
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| 308 | return 0;
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| 309 | }
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| 310 |
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| 311 | static mrb_value
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| 312 | int64_value(mrb_state *mrb, int64_t v)
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| 313 | {
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| 314 | if (FIXABLE(v)) {
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| 315 | return mrb_fixnum_value((mrb_int)v);
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| 316 | }
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| 317 | return mrb_float_value(mrb, (mrb_float)v);
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| 318 | }
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| 319 |
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| 320 | static mrb_value
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| 321 | flo_rev(mrb_state *mrb, mrb_value x)
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| 322 | {
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| 323 | int64_t v1;
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| 324 | mrb_get_args(mrb, "");
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| 325 | v1 = (int64_t)mrb_float(x);
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| 326 | return int64_value(mrb, ~v1);
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| 327 | }
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| 328 |
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| 329 | static mrb_value
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| 330 | flo_and(mrb_state *mrb, mrb_value x)
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| 331 | {
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| 332 | mrb_value y;
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| 333 | int64_t v1, v2;
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| 334 | mrb_get_args(mrb, "o", &y);
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| 335 |
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| 336 | v1 = (int64_t)mrb_float(x);
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| 337 | v2 = value_int64(mrb, y);
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| 338 | return int64_value(mrb, v1 & v2);
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| 339 | }
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| 340 |
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| 341 | static mrb_value
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| 342 | flo_or(mrb_state *mrb, mrb_value x)
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| 343 | {
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| 344 | mrb_value y;
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| 345 | int64_t v1, v2;
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| 346 | mrb_get_args(mrb, "o", &y);
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| 347 |
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| 348 | v1 = (int64_t)mrb_float(x);
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| 349 | v2 = value_int64(mrb, y);
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| 350 | return int64_value(mrb, v1 | v2);
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| 351 | }
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| 352 |
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| 353 | static mrb_value
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| 354 | flo_xor(mrb_state *mrb, mrb_value x)
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| 355 | {
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| 356 | mrb_value y;
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| 357 | int64_t v1, v2;
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| 358 | mrb_get_args(mrb, "o", &y);
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| 359 |
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| 360 | v1 = (int64_t)mrb_float(x);
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| 361 | v2 = value_int64(mrb, y);
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| 362 | return int64_value(mrb, v1 ^ v2);
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| 363 | }
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| 364 |
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| 365 | static mrb_value
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| 366 | flo_shift(mrb_state *mrb, mrb_value x, mrb_int width)
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| 367 | {
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| 368 | mrb_float val;
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| 369 |
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| 370 | if (width == 0) {
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| 371 | return x;
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| 372 | }
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| 373 | val = mrb_float(x);
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| 374 | if (width < 0) {
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| 375 | while (width++) {
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| 376 | val /= 2;
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| 377 | }
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| 378 | #if defined(_ISOC99_SOURCE)
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| 379 | val = trunc(val);
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| 380 | #else
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| 381 | val = val > 0 ? floor(val) : ceil(val);
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| 382 | #endif
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| 383 | if (val == 0 && mrb_float(x) < 0) {
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| 384 | return mrb_fixnum_value(-1);
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| 385 | }
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| 386 | }
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| 387 | else {
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| 388 | while (width--) {
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| 389 | val *= 2;
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| 390 | }
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| 391 | }
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| 392 | if (FIXABLE_FLOAT(val)) {
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| 393 | return mrb_fixnum_value((mrb_int)val);
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| 394 | }
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| 395 | return mrb_float_value(mrb, val);
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| 396 | }
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| 397 |
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| 398 | static mrb_value
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| 399 | flo_lshift(mrb_state *mrb, mrb_value x)
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| 400 | {
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| 401 | mrb_int width;
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| 402 |
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| 403 | mrb_get_args(mrb, "i", &width);
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| 404 | return flo_shift(mrb, x, -width);
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| 405 | }
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| 406 |
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| 407 | static mrb_value
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| 408 | flo_rshift(mrb_state *mrb, mrb_value x)
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| 409 | {
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| 410 | mrb_int width;
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| 411 |
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| 412 | mrb_get_args(mrb, "i", &width);
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| 413 | return flo_shift(mrb, x, width);
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| 414 | }
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| 415 |
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[270] | 416 | /* 15.2.8.3.18 */
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| 417 | /*
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| 418 | * call-seq:
|
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| 419 | * flt.hash -> integer
|
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| 420 | *
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| 421 | * Returns a hash code for this float.
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| 422 | */
|
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| 423 | static mrb_value
|
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| 424 | flo_hash(mrb_state *mrb, mrb_value num)
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| 425 | {
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| 426 | mrb_float d;
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| 427 | char *c;
|
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| 428 | size_t i;
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[331] | 429 | mrb_int hash;
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[270] | 430 |
|
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| 431 | d = (mrb_float)mrb_fixnum(num);
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| 432 | /* normalize -0.0 to 0.0 */
|
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| 433 | if (d == 0) d = 0.0;
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| 434 | c = (char*)&d;
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[331] | 435 | for (hash=0,i=0; i<sizeof(mrb_float); i++) {
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[270] | 436 | hash = (hash * 971) ^ (unsigned char)c[i];
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| 437 | }
|
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| 438 | if (hash < 0) hash = -hash;
|
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| 439 | return mrb_fixnum_value(hash);
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| 440 | }
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---|
| 441 |
|
---|
| 442 | /* 15.2.9.3.13 */
|
---|
| 443 | /*
|
---|
| 444 | * call-seq:
|
---|
| 445 | * flt.to_f -> self
|
---|
| 446 | *
|
---|
| 447 | * As <code>flt</code> is already a float, returns +self+.
|
---|
| 448 | */
|
---|
| 449 |
|
---|
| 450 | static mrb_value
|
---|
| 451 | flo_to_f(mrb_state *mrb, mrb_value num)
|
---|
| 452 | {
|
---|
| 453 | return num;
|
---|
| 454 | }
|
---|
| 455 |
|
---|
| 456 | /* 15.2.9.3.11 */
|
---|
| 457 | /*
|
---|
| 458 | * call-seq:
|
---|
| 459 | * flt.infinite? -> nil, -1, +1
|
---|
| 460 | *
|
---|
| 461 | * Returns <code>nil</code>, -1, or +1 depending on whether <i>flt</i>
|
---|
| 462 | * is finite, -infinity, or +infinity.
|
---|
| 463 | *
|
---|
| 464 | * (0.0).infinite? #=> nil
|
---|
| 465 | * (-1.0/0.0).infinite? #=> -1
|
---|
| 466 | * (+1.0/0.0).infinite? #=> 1
|
---|
| 467 | */
|
---|
| 468 |
|
---|
| 469 | static mrb_value
|
---|
| 470 | flo_infinite_p(mrb_state *mrb, mrb_value num)
|
---|
| 471 | {
|
---|
| 472 | mrb_float value = mrb_float(num);
|
---|
| 473 |
|
---|
| 474 | if (isinf(value)) {
|
---|
| 475 | return mrb_fixnum_value(value < 0 ? -1 : 1);
|
---|
| 476 | }
|
---|
| 477 | return mrb_nil_value();
|
---|
| 478 | }
|
---|
| 479 |
|
---|
| 480 | /* 15.2.9.3.9 */
|
---|
| 481 | /*
|
---|
| 482 | * call-seq:
|
---|
| 483 | * flt.finite? -> true or false
|
---|
| 484 | *
|
---|
| 485 | * Returns <code>true</code> if <i>flt</i> is a valid IEEE floating
|
---|
| 486 | * point number (it is not infinite, and <code>nan?</code> is
|
---|
| 487 | * <code>false</code>).
|
---|
| 488 | *
|
---|
| 489 | */
|
---|
| 490 |
|
---|
| 491 | static mrb_value
|
---|
| 492 | flo_finite_p(mrb_state *mrb, mrb_value num)
|
---|
| 493 | {
|
---|
| 494 | return mrb_bool_value(isfinite(mrb_float(num)));
|
---|
| 495 | }
|
---|
| 496 |
|
---|
[331] | 497 | void
|
---|
| 498 | mrb_check_num_exact(mrb_state *mrb, mrb_float num)
|
---|
| 499 | {
|
---|
| 500 | if (isinf(num)) {
|
---|
| 501 | mrb_raise(mrb, E_FLOATDOMAIN_ERROR, num < 0 ? "-Infinity" : "Infinity");
|
---|
| 502 | }
|
---|
| 503 | if (isnan(num)) {
|
---|
| 504 | mrb_raise(mrb, E_FLOATDOMAIN_ERROR, "NaN");
|
---|
| 505 | }
|
---|
| 506 | }
|
---|
| 507 |
|
---|
[270] | 508 | /* 15.2.9.3.10 */
|
---|
| 509 | /*
|
---|
| 510 | * call-seq:
|
---|
| 511 | * flt.floor -> integer
|
---|
| 512 | *
|
---|
| 513 | * Returns the largest integer less than or equal to <i>flt</i>.
|
---|
| 514 | *
|
---|
| 515 | * 1.2.floor #=> 1
|
---|
| 516 | * 2.0.floor #=> 2
|
---|
| 517 | * (-1.2).floor #=> -2
|
---|
| 518 | * (-2.0).floor #=> -2
|
---|
| 519 | */
|
---|
| 520 |
|
---|
| 521 | static mrb_value
|
---|
| 522 | flo_floor(mrb_state *mrb, mrb_value num)
|
---|
| 523 | {
|
---|
| 524 | mrb_float f = floor(mrb_float(num));
|
---|
| 525 |
|
---|
[331] | 526 | mrb_check_num_exact(mrb, f);
|
---|
| 527 | if (!FIXABLE_FLOAT(f)) {
|
---|
[270] | 528 | return mrb_float_value(mrb, f);
|
---|
| 529 | }
|
---|
| 530 | return mrb_fixnum_value((mrb_int)f);
|
---|
| 531 | }
|
---|
| 532 |
|
---|
| 533 | /* 15.2.9.3.8 */
|
---|
| 534 | /*
|
---|
| 535 | * call-seq:
|
---|
| 536 | * flt.ceil -> integer
|
---|
| 537 | *
|
---|
| 538 | * Returns the smallest <code>Integer</code> greater than or equal to
|
---|
| 539 | * <i>flt</i>.
|
---|
| 540 | *
|
---|
| 541 | * 1.2.ceil #=> 2
|
---|
| 542 | * 2.0.ceil #=> 2
|
---|
| 543 | * (-1.2).ceil #=> -1
|
---|
| 544 | * (-2.0).ceil #=> -2
|
---|
| 545 | */
|
---|
| 546 |
|
---|
| 547 | static mrb_value
|
---|
| 548 | flo_ceil(mrb_state *mrb, mrb_value num)
|
---|
| 549 | {
|
---|
| 550 | mrb_float f = ceil(mrb_float(num));
|
---|
| 551 |
|
---|
[331] | 552 | mrb_check_num_exact(mrb, f);
|
---|
| 553 | if (!FIXABLE_FLOAT(f)) {
|
---|
[270] | 554 | return mrb_float_value(mrb, f);
|
---|
| 555 | }
|
---|
| 556 | return mrb_fixnum_value((mrb_int)f);
|
---|
| 557 | }
|
---|
| 558 |
|
---|
| 559 | /* 15.2.9.3.12 */
|
---|
| 560 | /*
|
---|
| 561 | * call-seq:
|
---|
| 562 | * flt.round([ndigits]) -> integer or float
|
---|
| 563 | *
|
---|
| 564 | * Rounds <i>flt</i> to a given precision in decimal digits (default 0 digits).
|
---|
| 565 | * Precision may be negative. Returns a floating point number when ndigits
|
---|
| 566 | * is more than zero.
|
---|
| 567 | *
|
---|
| 568 | * 1.4.round #=> 1
|
---|
| 569 | * 1.5.round #=> 2
|
---|
| 570 | * 1.6.round #=> 2
|
---|
| 571 | * (-1.5).round #=> -2
|
---|
| 572 | *
|
---|
| 573 | * 1.234567.round(2) #=> 1.23
|
---|
| 574 | * 1.234567.round(3) #=> 1.235
|
---|
| 575 | * 1.234567.round(4) #=> 1.2346
|
---|
| 576 | * 1.234567.round(5) #=> 1.23457
|
---|
| 577 | *
|
---|
| 578 | * 34567.89.round(-5) #=> 0
|
---|
| 579 | * 34567.89.round(-4) #=> 30000
|
---|
| 580 | * 34567.89.round(-3) #=> 35000
|
---|
| 581 | * 34567.89.round(-2) #=> 34600
|
---|
| 582 | * 34567.89.round(-1) #=> 34570
|
---|
| 583 | * 34567.89.round(0) #=> 34568
|
---|
| 584 | * 34567.89.round(1) #=> 34567.9
|
---|
| 585 | * 34567.89.round(2) #=> 34567.89
|
---|
| 586 | * 34567.89.round(3) #=> 34567.89
|
---|
| 587 | *
|
---|
| 588 | */
|
---|
| 589 |
|
---|
| 590 | static mrb_value
|
---|
| 591 | flo_round(mrb_state *mrb, mrb_value num)
|
---|
| 592 | {
|
---|
| 593 | double number, f;
|
---|
| 594 | mrb_int ndigits = 0;
|
---|
| 595 | mrb_int i;
|
---|
| 596 |
|
---|
| 597 | mrb_get_args(mrb, "|i", &ndigits);
|
---|
| 598 | number = mrb_float(num);
|
---|
| 599 |
|
---|
[331] | 600 | if (0 < ndigits && (isinf(number) || isnan(number))) {
|
---|
| 601 | return num;
|
---|
[270] | 602 | }
|
---|
[331] | 603 | mrb_check_num_exact(mrb, number);
|
---|
[270] | 604 |
|
---|
| 605 | f = 1.0;
|
---|
| 606 | i = ndigits >= 0 ? ndigits : -ndigits;
|
---|
| 607 | while (--i >= 0)
|
---|
| 608 | f = f*10.0;
|
---|
| 609 |
|
---|
| 610 | if (isinf(f)) {
|
---|
| 611 | if (ndigits < 0) number = 0;
|
---|
| 612 | }
|
---|
| 613 | else {
|
---|
| 614 | double d;
|
---|
| 615 |
|
---|
| 616 | if (ndigits < 0) number /= f;
|
---|
| 617 | else number *= f;
|
---|
| 618 |
|
---|
| 619 | /* home-made inline implementation of round(3) */
|
---|
| 620 | if (number > 0.0) {
|
---|
| 621 | d = floor(number);
|
---|
| 622 | number = d + (number - d >= 0.5);
|
---|
| 623 | }
|
---|
| 624 | else if (number < 0.0) {
|
---|
| 625 | d = ceil(number);
|
---|
| 626 | number = d - (d - number >= 0.5);
|
---|
| 627 | }
|
---|
| 628 |
|
---|
| 629 | if (ndigits < 0) number *= f;
|
---|
| 630 | else number /= f;
|
---|
| 631 | }
|
---|
| 632 |
|
---|
| 633 | if (ndigits > 0) {
|
---|
| 634 | if (!isfinite(number)) return num;
|
---|
| 635 | return mrb_float_value(mrb, number);
|
---|
| 636 | }
|
---|
| 637 | return mrb_fixnum_value((mrb_int)number);
|
---|
| 638 | }
|
---|
| 639 |
|
---|
| 640 | /* 15.2.9.3.14 */
|
---|
| 641 | /* 15.2.9.3.15 */
|
---|
| 642 | /*
|
---|
| 643 | * call-seq:
|
---|
| 644 | * flt.to_i -> integer
|
---|
| 645 | * flt.to_int -> integer
|
---|
| 646 | * flt.truncate -> integer
|
---|
| 647 | *
|
---|
| 648 | * Returns <i>flt</i> truncated to an <code>Integer</code>.
|
---|
| 649 | */
|
---|
| 650 |
|
---|
| 651 | static mrb_value
|
---|
| 652 | flo_truncate(mrb_state *mrb, mrb_value num)
|
---|
| 653 | {
|
---|
| 654 | mrb_float f = mrb_float(num);
|
---|
| 655 |
|
---|
| 656 | if (f > 0.0) f = floor(f);
|
---|
| 657 | if (f < 0.0) f = ceil(f);
|
---|
| 658 |
|
---|
[331] | 659 | mrb_check_num_exact(mrb, f);
|
---|
| 660 | if (!FIXABLE_FLOAT(f)) {
|
---|
[270] | 661 | return mrb_float_value(mrb, f);
|
---|
| 662 | }
|
---|
| 663 | return mrb_fixnum_value((mrb_int)f);
|
---|
| 664 | }
|
---|
| 665 |
|
---|
| 666 | static mrb_value
|
---|
| 667 | flo_nan_p(mrb_state *mrb, mrb_value num)
|
---|
| 668 | {
|
---|
| 669 | return mrb_bool_value(isnan(mrb_float(num)));
|
---|
| 670 | }
|
---|
| 671 |
|
---|
| 672 | /*
|
---|
| 673 | * Document-class: Integer
|
---|
| 674 | *
|
---|
| 675 | * <code>Integer</code> is the basis for the two concrete classes that
|
---|
| 676 | * hold whole numbers, <code>Bignum</code> and <code>Fixnum</code>.
|
---|
| 677 | *
|
---|
| 678 | */
|
---|
| 679 |
|
---|
| 680 |
|
---|
| 681 | /*
|
---|
| 682 | * call-seq:
|
---|
| 683 | * int.to_i -> integer
|
---|
| 684 | * int.to_int -> integer
|
---|
| 685 | *
|
---|
| 686 | * As <i>int</i> is already an <code>Integer</code>, all these
|
---|
| 687 | * methods simply return the receiver.
|
---|
| 688 | */
|
---|
| 689 |
|
---|
| 690 | static mrb_value
|
---|
| 691 | int_to_i(mrb_state *mrb, mrb_value num)
|
---|
| 692 | {
|
---|
| 693 | return num;
|
---|
| 694 | }
|
---|
| 695 |
|
---|
| 696 | mrb_value
|
---|
| 697 | mrb_fixnum_mul(mrb_state *mrb, mrb_value x, mrb_value y)
|
---|
| 698 | {
|
---|
| 699 | mrb_int a;
|
---|
| 700 |
|
---|
| 701 | a = mrb_fixnum(x);
|
---|
| 702 | if (mrb_fixnum_p(y)) {
|
---|
[331] | 703 | mrb_int b, c;
|
---|
[270] | 704 |
|
---|
| 705 | if (a == 0) return x;
|
---|
| 706 | b = mrb_fixnum(y);
|
---|
[331] | 707 | if (mrb_int_mul_overflow(a, b, &c)) {
|
---|
| 708 | return mrb_float_value(mrb, (mrb_float)a * (mrb_float)b);
|
---|
[270] | 709 | }
|
---|
[331] | 710 | return mrb_fixnum_value(c);
|
---|
[270] | 711 | }
|
---|
| 712 | return mrb_float_value(mrb, (mrb_float)a * mrb_to_flo(mrb, y));
|
---|
| 713 | }
|
---|
| 714 |
|
---|
| 715 | /* 15.2.8.3.3 */
|
---|
| 716 | /*
|
---|
| 717 | * call-seq:
|
---|
| 718 | * fix * numeric -> numeric_result
|
---|
| 719 | *
|
---|
| 720 | * Performs multiplication: the class of the resulting object depends on
|
---|
| 721 | * the class of <code>numeric</code> and on the magnitude of the
|
---|
| 722 | * result.
|
---|
| 723 | */
|
---|
| 724 |
|
---|
| 725 | static mrb_value
|
---|
| 726 | fix_mul(mrb_state *mrb, mrb_value x)
|
---|
| 727 | {
|
---|
| 728 | mrb_value y;
|
---|
| 729 |
|
---|
| 730 | mrb_get_args(mrb, "o", &y);
|
---|
| 731 | return mrb_fixnum_mul(mrb, x, y);
|
---|
| 732 | }
|
---|
| 733 |
|
---|
| 734 | static void
|
---|
| 735 | fixdivmod(mrb_state *mrb, mrb_int x, mrb_int y, mrb_int *divp, mrb_int *modp)
|
---|
| 736 | {
|
---|
| 737 | mrb_int div, mod;
|
---|
| 738 |
|
---|
| 739 | /* TODO: add mrb_assert(y != 0) to make sure */
|
---|
| 740 |
|
---|
| 741 | if (y < 0) {
|
---|
| 742 | if (x < 0)
|
---|
| 743 | div = -x / -y;
|
---|
| 744 | else
|
---|
| 745 | div = - (x / -y);
|
---|
| 746 | }
|
---|
| 747 | else {
|
---|
| 748 | if (x < 0)
|
---|
| 749 | div = - (-x / y);
|
---|
| 750 | else
|
---|
| 751 | div = x / y;
|
---|
| 752 | }
|
---|
| 753 | mod = x - div*y;
|
---|
| 754 | if ((mod < 0 && y > 0) || (mod > 0 && y < 0)) {
|
---|
| 755 | mod += y;
|
---|
| 756 | div -= 1;
|
---|
| 757 | }
|
---|
| 758 | if (divp) *divp = div;
|
---|
| 759 | if (modp) *modp = mod;
|
---|
| 760 | }
|
---|
| 761 |
|
---|
| 762 | /* 15.2.8.3.5 */
|
---|
| 763 | /*
|
---|
| 764 | * call-seq:
|
---|
| 765 | * fix % other -> real
|
---|
| 766 | * fix.modulo(other) -> real
|
---|
| 767 | *
|
---|
| 768 | * Returns <code>fix</code> modulo <code>other</code>.
|
---|
| 769 | * See <code>numeric.divmod</code> for more information.
|
---|
| 770 | */
|
---|
| 771 |
|
---|
| 772 | static mrb_value
|
---|
| 773 | fix_mod(mrb_state *mrb, mrb_value x)
|
---|
| 774 | {
|
---|
| 775 | mrb_value y;
|
---|
| 776 | mrb_int a;
|
---|
| 777 |
|
---|
| 778 | mrb_get_args(mrb, "o", &y);
|
---|
| 779 | a = mrb_fixnum(x);
|
---|
| 780 | if (mrb_fixnum_p(y)) {
|
---|
| 781 | mrb_int b, mod;
|
---|
| 782 |
|
---|
| 783 | if ((b=mrb_fixnum(y)) == 0) {
|
---|
| 784 | return mrb_float_value(mrb, NAN);
|
---|
| 785 | }
|
---|
| 786 | fixdivmod(mrb, a, b, 0, &mod);
|
---|
| 787 | return mrb_fixnum_value(mod);
|
---|
| 788 | }
|
---|
| 789 | else {
|
---|
| 790 | mrb_float mod;
|
---|
| 791 |
|
---|
| 792 | flodivmod(mrb, (mrb_float)a, mrb_to_flo(mrb, y), 0, &mod);
|
---|
| 793 | return mrb_float_value(mrb, mod);
|
---|
| 794 | }
|
---|
| 795 | }
|
---|
| 796 |
|
---|
| 797 | /*
|
---|
| 798 | * call-seq:
|
---|
| 799 | * fix.divmod(numeric) -> array
|
---|
| 800 | *
|
---|
| 801 | * See <code>Numeric#divmod</code>.
|
---|
| 802 | */
|
---|
| 803 | static mrb_value
|
---|
| 804 | fix_divmod(mrb_state *mrb, mrb_value x)
|
---|
| 805 | {
|
---|
| 806 | mrb_value y;
|
---|
| 807 |
|
---|
| 808 | mrb_get_args(mrb, "o", &y);
|
---|
| 809 |
|
---|
| 810 | if (mrb_fixnum_p(y)) {
|
---|
| 811 | mrb_int div, mod;
|
---|
| 812 |
|
---|
| 813 | if (mrb_fixnum(y) == 0) {
|
---|
| 814 | return mrb_assoc_new(mrb, mrb_float_value(mrb, INFINITY),
|
---|
| 815 | mrb_float_value(mrb, NAN));
|
---|
| 816 | }
|
---|
| 817 | fixdivmod(mrb, mrb_fixnum(x), mrb_fixnum(y), &div, &mod);
|
---|
| 818 | return mrb_assoc_new(mrb, mrb_fixnum_value(div), mrb_fixnum_value(mod));
|
---|
| 819 | }
|
---|
| 820 | else {
|
---|
| 821 | mrb_float div, mod;
|
---|
| 822 | mrb_value a, b;
|
---|
| 823 |
|
---|
| 824 | flodivmod(mrb, (mrb_float)mrb_fixnum(x), mrb_to_flo(mrb, y), &div, &mod);
|
---|
| 825 | a = mrb_float_value(mrb, (mrb_int)div);
|
---|
| 826 | b = mrb_float_value(mrb, mod);
|
---|
| 827 | return mrb_assoc_new(mrb, a, b);
|
---|
| 828 | }
|
---|
| 829 | }
|
---|
| 830 |
|
---|
| 831 | static mrb_value
|
---|
| 832 | flo_divmod(mrb_state *mrb, mrb_value x)
|
---|
| 833 | {
|
---|
| 834 | mrb_value y;
|
---|
| 835 | mrb_float div, mod;
|
---|
| 836 | mrb_value a, b;
|
---|
| 837 |
|
---|
| 838 | mrb_get_args(mrb, "o", &y);
|
---|
| 839 |
|
---|
| 840 | flodivmod(mrb, mrb_float(x), mrb_to_flo(mrb, y), &div, &mod);
|
---|
| 841 | a = mrb_float_value(mrb, (mrb_int)div);
|
---|
| 842 | b = mrb_float_value(mrb, mod);
|
---|
| 843 | return mrb_assoc_new(mrb, a, b);
|
---|
| 844 | }
|
---|
| 845 |
|
---|
| 846 | /* 15.2.8.3.7 */
|
---|
| 847 | /*
|
---|
| 848 | * call-seq:
|
---|
| 849 | * fix == other -> true or false
|
---|
| 850 | *
|
---|
| 851 | * Return <code>true</code> if <code>fix</code> equals <code>other</code>
|
---|
| 852 | * numerically.
|
---|
| 853 | *
|
---|
| 854 | * 1 == 2 #=> false
|
---|
| 855 | * 1 == 1.0 #=> true
|
---|
| 856 | */
|
---|
| 857 |
|
---|
| 858 | static mrb_value
|
---|
| 859 | fix_equal(mrb_state *mrb, mrb_value x)
|
---|
| 860 | {
|
---|
| 861 | mrb_value y;
|
---|
| 862 |
|
---|
| 863 | mrb_get_args(mrb, "o", &y);
|
---|
| 864 | switch (mrb_type(y)) {
|
---|
| 865 | case MRB_TT_FIXNUM:
|
---|
| 866 | return mrb_bool_value(mrb_fixnum(x) == mrb_fixnum(y));
|
---|
| 867 | case MRB_TT_FLOAT:
|
---|
| 868 | return mrb_bool_value((mrb_float)mrb_fixnum(x) == mrb_float(y));
|
---|
| 869 | default:
|
---|
| 870 | return mrb_false_value();
|
---|
| 871 | }
|
---|
| 872 | }
|
---|
| 873 |
|
---|
| 874 | /* 15.2.8.3.8 */
|
---|
| 875 | /*
|
---|
| 876 | * call-seq:
|
---|
| 877 | * ~fix -> integer
|
---|
| 878 | *
|
---|
| 879 | * One's complement: returns a number where each bit is flipped.
|
---|
| 880 | * ex.0---00001 (1)-> 1---11110 (-2)
|
---|
| 881 | * ex.0---00010 (2)-> 1---11101 (-3)
|
---|
| 882 | * ex.0---00100 (4)-> 1---11011 (-5)
|
---|
| 883 | */
|
---|
| 884 |
|
---|
| 885 | static mrb_value
|
---|
| 886 | fix_rev(mrb_state *mrb, mrb_value num)
|
---|
| 887 | {
|
---|
| 888 | mrb_int val = mrb_fixnum(num);
|
---|
| 889 |
|
---|
| 890 | return mrb_fixnum_value(~val);
|
---|
| 891 | }
|
---|
| 892 |
|
---|
[331] | 893 | static mrb_value flo_and(mrb_state *mrb, mrb_value x);
|
---|
| 894 | static mrb_value flo_or(mrb_state *mrb, mrb_value x);
|
---|
| 895 | static mrb_value flo_xor(mrb_state *mrb, mrb_value x);
|
---|
| 896 | #define bit_op(x,y,op1,op2) do {\
|
---|
| 897 | if (mrb_fixnum_p(y)) return mrb_fixnum_value(mrb_fixnum(x) op2 mrb_fixnum(y));\
|
---|
| 898 | return flo_ ## op1(mrb, mrb_float_value(mrb, mrb_fixnum(x)));\
|
---|
| 899 | } while(0)
|
---|
[270] | 900 |
|
---|
| 901 | /* 15.2.8.3.9 */
|
---|
| 902 | /*
|
---|
| 903 | * call-seq:
|
---|
| 904 | * fix & integer -> integer_result
|
---|
| 905 | *
|
---|
| 906 | * Bitwise AND.
|
---|
| 907 | */
|
---|
| 908 |
|
---|
| 909 | static mrb_value
|
---|
| 910 | fix_and(mrb_state *mrb, mrb_value x)
|
---|
| 911 | {
|
---|
| 912 | mrb_value y;
|
---|
| 913 |
|
---|
| 914 | mrb_get_args(mrb, "o", &y);
|
---|
[331] | 915 | bit_op(x, y, and, &);
|
---|
[270] | 916 | }
|
---|
| 917 |
|
---|
| 918 | /* 15.2.8.3.10 */
|
---|
| 919 | /*
|
---|
| 920 | * call-seq:
|
---|
| 921 | * fix | integer -> integer_result
|
---|
| 922 | *
|
---|
| 923 | * Bitwise OR.
|
---|
| 924 | */
|
---|
| 925 |
|
---|
| 926 | static mrb_value
|
---|
| 927 | fix_or(mrb_state *mrb, mrb_value x)
|
---|
| 928 | {
|
---|
| 929 | mrb_value y;
|
---|
| 930 |
|
---|
| 931 | mrb_get_args(mrb, "o", &y);
|
---|
[331] | 932 | bit_op(x, y, or, |);
|
---|
[270] | 933 | }
|
---|
| 934 |
|
---|
| 935 | /* 15.2.8.3.11 */
|
---|
| 936 | /*
|
---|
| 937 | * call-seq:
|
---|
| 938 | * fix ^ integer -> integer_result
|
---|
| 939 | *
|
---|
| 940 | * Bitwise EXCLUSIVE OR.
|
---|
| 941 | */
|
---|
| 942 |
|
---|
| 943 | static mrb_value
|
---|
| 944 | fix_xor(mrb_state *mrb, mrb_value x)
|
---|
| 945 | {
|
---|
| 946 | mrb_value y;
|
---|
| 947 |
|
---|
| 948 | mrb_get_args(mrb, "o", &y);
|
---|
[331] | 949 | bit_op(x, y, or, ^);
|
---|
[270] | 950 | }
|
---|
| 951 |
|
---|
| 952 | #define NUMERIC_SHIFT_WIDTH_MAX (MRB_INT_BIT-1)
|
---|
| 953 |
|
---|
| 954 | static mrb_value
|
---|
| 955 | lshift(mrb_state *mrb, mrb_int val, mrb_int width)
|
---|
| 956 | {
|
---|
[331] | 957 | if (width < 0) { /* mrb_int overflow */
|
---|
| 958 | return mrb_float_value(mrb, INFINITY);
|
---|
| 959 | }
|
---|
| 960 | if (val > 0) {
|
---|
| 961 | if ((width > NUMERIC_SHIFT_WIDTH_MAX) ||
|
---|
| 962 | (val > (MRB_INT_MAX >> width))) {
|
---|
| 963 | goto bit_overflow;
|
---|
| 964 | }
|
---|
| 965 | }
|
---|
| 966 | else {
|
---|
| 967 | if ((width > NUMERIC_SHIFT_WIDTH_MAX) ||
|
---|
| 968 | (val < (MRB_INT_MIN >> width))) {
|
---|
| 969 | goto bit_overflow;
|
---|
| 970 | }
|
---|
| 971 | }
|
---|
| 972 |
|
---|
| 973 | return mrb_fixnum_value(val << width);
|
---|
| 974 |
|
---|
| 975 | bit_overflow:
|
---|
| 976 | {
|
---|
[270] | 977 | mrb_float f = (mrb_float)val;
|
---|
| 978 | while (width--) {
|
---|
| 979 | f *= 2;
|
---|
| 980 | }
|
---|
| 981 | return mrb_float_value(mrb, f);
|
---|
| 982 | }
|
---|
| 983 | }
|
---|
| 984 |
|
---|
| 985 | static mrb_value
|
---|
| 986 | rshift(mrb_int val, mrb_int width)
|
---|
| 987 | {
|
---|
[331] | 988 | if (width < 0) { /* mrb_int overflow */
|
---|
| 989 | return mrb_fixnum_value(0);
|
---|
| 990 | }
|
---|
[270] | 991 | if (width >= NUMERIC_SHIFT_WIDTH_MAX) {
|
---|
| 992 | if (val < 0) {
|
---|
| 993 | return mrb_fixnum_value(-1);
|
---|
| 994 | }
|
---|
| 995 | return mrb_fixnum_value(0);
|
---|
| 996 | }
|
---|
| 997 | return mrb_fixnum_value(val >> width);
|
---|
| 998 | }
|
---|
| 999 |
|
---|
| 1000 | /* 15.2.8.3.12 */
|
---|
| 1001 | /*
|
---|
| 1002 | * call-seq:
|
---|
| 1003 | * fix << count -> integer or float
|
---|
| 1004 | *
|
---|
| 1005 | * Shifts _fix_ left _count_ positions (right if _count_ is negative).
|
---|
| 1006 | */
|
---|
| 1007 |
|
---|
| 1008 | static mrb_value
|
---|
| 1009 | fix_lshift(mrb_state *mrb, mrb_value x)
|
---|
| 1010 | {
|
---|
| 1011 | mrb_int width, val;
|
---|
| 1012 |
|
---|
[331] | 1013 | mrb_get_args(mrb, "i", &width);
|
---|
[270] | 1014 | if (width == 0) {
|
---|
| 1015 | return x;
|
---|
| 1016 | }
|
---|
| 1017 | val = mrb_fixnum(x);
|
---|
[331] | 1018 | if (val == 0) return x;
|
---|
[270] | 1019 | if (width < 0) {
|
---|
| 1020 | return rshift(val, -width);
|
---|
| 1021 | }
|
---|
| 1022 | return lshift(mrb, val, width);
|
---|
| 1023 | }
|
---|
| 1024 |
|
---|
| 1025 | /* 15.2.8.3.13 */
|
---|
| 1026 | /*
|
---|
| 1027 | * call-seq:
|
---|
| 1028 | * fix >> count -> integer or float
|
---|
| 1029 | *
|
---|
| 1030 | * Shifts _fix_ right _count_ positions (left if _count_ is negative).
|
---|
| 1031 | */
|
---|
| 1032 |
|
---|
| 1033 | static mrb_value
|
---|
| 1034 | fix_rshift(mrb_state *mrb, mrb_value x)
|
---|
| 1035 | {
|
---|
| 1036 | mrb_int width, val;
|
---|
| 1037 |
|
---|
[331] | 1038 | mrb_get_args(mrb, "i", &width);
|
---|
[270] | 1039 | if (width == 0) {
|
---|
| 1040 | return x;
|
---|
| 1041 | }
|
---|
| 1042 | val = mrb_fixnum(x);
|
---|
[331] | 1043 | if (val == 0) return x;
|
---|
[270] | 1044 | if (width < 0) {
|
---|
| 1045 | return lshift(mrb, val, -width);
|
---|
| 1046 | }
|
---|
| 1047 | return rshift(val, width);
|
---|
| 1048 | }
|
---|
| 1049 |
|
---|
| 1050 | /* 15.2.8.3.23 */
|
---|
| 1051 | /*
|
---|
| 1052 | * call-seq:
|
---|
| 1053 | * fix.to_f -> float
|
---|
| 1054 | *
|
---|
| 1055 | * Converts <i>fix</i> to a <code>Float</code>.
|
---|
| 1056 | *
|
---|
| 1057 | */
|
---|
| 1058 |
|
---|
| 1059 | static mrb_value
|
---|
| 1060 | fix_to_f(mrb_state *mrb, mrb_value num)
|
---|
| 1061 | {
|
---|
| 1062 | return mrb_float_value(mrb, (mrb_float)mrb_fixnum(num));
|
---|
| 1063 | }
|
---|
| 1064 |
|
---|
| 1065 | /*
|
---|
| 1066 | * Document-class: FloatDomainError
|
---|
| 1067 | *
|
---|
| 1068 | * Raised when attempting to convert special float values
|
---|
| 1069 | * (in particular infinite or NaN)
|
---|
| 1070 | * to numerical classes which don't support them.
|
---|
| 1071 | *
|
---|
| 1072 | * Float::INFINITY.to_r
|
---|
| 1073 | *
|
---|
| 1074 | * <em>raises the exception:</em>
|
---|
| 1075 | *
|
---|
| 1076 | * FloatDomainError: Infinity
|
---|
| 1077 | */
|
---|
| 1078 | /* ------------------------------------------------------------------------*/
|
---|
| 1079 | MRB_API mrb_value
|
---|
| 1080 | mrb_flo_to_fixnum(mrb_state *mrb, mrb_value x)
|
---|
| 1081 | {
|
---|
[331] | 1082 | mrb_int z = 0;
|
---|
[270] | 1083 |
|
---|
| 1084 | if (!mrb_float_p(x)) {
|
---|
| 1085 | mrb_raise(mrb, E_TYPE_ERROR, "non float value");
|
---|
| 1086 | z = 0; /* not reached. just suppress warnings. */
|
---|
| 1087 | }
|
---|
| 1088 | else {
|
---|
| 1089 | mrb_float d = mrb_float(x);
|
---|
| 1090 |
|
---|
| 1091 | if (isinf(d)) {
|
---|
| 1092 | mrb_raise(mrb, E_FLOATDOMAIN_ERROR, d < 0 ? "-Infinity" : "Infinity");
|
---|
| 1093 | }
|
---|
| 1094 | if (isnan(d)) {
|
---|
| 1095 | mrb_raise(mrb, E_FLOATDOMAIN_ERROR, "NaN");
|
---|
| 1096 | }
|
---|
[331] | 1097 | if (FIXABLE_FLOAT(d)) {
|
---|
| 1098 | z = (mrb_int)d;
|
---|
| 1099 | }
|
---|
| 1100 | else {
|
---|
| 1101 | mrb_raisef(mrb, E_ARGUMENT_ERROR, "number (%S) too big for integer", x);
|
---|
| 1102 | }
|
---|
[270] | 1103 | }
|
---|
| 1104 | return mrb_fixnum_value(z);
|
---|
| 1105 | }
|
---|
| 1106 |
|
---|
| 1107 | mrb_value
|
---|
| 1108 | mrb_fixnum_plus(mrb_state *mrb, mrb_value x, mrb_value y)
|
---|
| 1109 | {
|
---|
| 1110 | mrb_int a;
|
---|
| 1111 |
|
---|
| 1112 | a = mrb_fixnum(x);
|
---|
| 1113 | if (mrb_fixnum_p(y)) {
|
---|
| 1114 | mrb_int b, c;
|
---|
| 1115 |
|
---|
| 1116 | if (a == 0) return y;
|
---|
| 1117 | b = mrb_fixnum(y);
|
---|
| 1118 | if (mrb_int_add_overflow(a, b, &c)) {
|
---|
| 1119 | return mrb_float_value(mrb, (mrb_float)a + (mrb_float)b);
|
---|
| 1120 | }
|
---|
| 1121 | return mrb_fixnum_value(c);
|
---|
| 1122 | }
|
---|
| 1123 | return mrb_float_value(mrb, (mrb_float)a + mrb_to_flo(mrb, y));
|
---|
| 1124 | }
|
---|
| 1125 |
|
---|
| 1126 | /* 15.2.8.3.1 */
|
---|
| 1127 | /*
|
---|
| 1128 | * call-seq:
|
---|
| 1129 | * fix + numeric -> numeric_result
|
---|
| 1130 | *
|
---|
| 1131 | * Performs addition: the class of the resulting object depends on
|
---|
| 1132 | * the class of <code>numeric</code> and on the magnitude of the
|
---|
| 1133 | * result.
|
---|
| 1134 | */
|
---|
| 1135 | static mrb_value
|
---|
| 1136 | fix_plus(mrb_state *mrb, mrb_value self)
|
---|
| 1137 | {
|
---|
| 1138 | mrb_value other;
|
---|
| 1139 |
|
---|
| 1140 | mrb_get_args(mrb, "o", &other);
|
---|
| 1141 | return mrb_fixnum_plus(mrb, self, other);
|
---|
| 1142 | }
|
---|
| 1143 |
|
---|
| 1144 | mrb_value
|
---|
| 1145 | mrb_fixnum_minus(mrb_state *mrb, mrb_value x, mrb_value y)
|
---|
| 1146 | {
|
---|
| 1147 | mrb_int a;
|
---|
| 1148 |
|
---|
| 1149 | a = mrb_fixnum(x);
|
---|
| 1150 | if (mrb_fixnum_p(y)) {
|
---|
| 1151 | mrb_int b, c;
|
---|
| 1152 |
|
---|
| 1153 | b = mrb_fixnum(y);
|
---|
| 1154 | if (mrb_int_sub_overflow(a, b, &c)) {
|
---|
| 1155 | return mrb_float_value(mrb, (mrb_float)a - (mrb_float)b);
|
---|
| 1156 | }
|
---|
| 1157 | return mrb_fixnum_value(c);
|
---|
| 1158 | }
|
---|
| 1159 | return mrb_float_value(mrb, (mrb_float)a - mrb_to_flo(mrb, y));
|
---|
| 1160 | }
|
---|
| 1161 |
|
---|
| 1162 | /* 15.2.8.3.2 */
|
---|
| 1163 | /* 15.2.8.3.16 */
|
---|
| 1164 | /*
|
---|
| 1165 | * call-seq:
|
---|
| 1166 | * fix - numeric -> numeric_result
|
---|
| 1167 | *
|
---|
| 1168 | * Performs subtraction: the class of the resulting object depends on
|
---|
| 1169 | * the class of <code>numeric</code> and on the magnitude of the
|
---|
| 1170 | * result.
|
---|
| 1171 | */
|
---|
| 1172 | static mrb_value
|
---|
| 1173 | fix_minus(mrb_state *mrb, mrb_value self)
|
---|
| 1174 | {
|
---|
| 1175 | mrb_value other;
|
---|
| 1176 |
|
---|
| 1177 | mrb_get_args(mrb, "o", &other);
|
---|
| 1178 | return mrb_fixnum_minus(mrb, self, other);
|
---|
| 1179 | }
|
---|
| 1180 |
|
---|
| 1181 |
|
---|
| 1182 | MRB_API mrb_value
|
---|
| 1183 | mrb_fixnum_to_str(mrb_state *mrb, mrb_value x, int base)
|
---|
| 1184 | {
|
---|
| 1185 | char buf[MRB_INT_BIT+1];
|
---|
| 1186 | char *b = buf + sizeof buf;
|
---|
| 1187 | mrb_int val = mrb_fixnum(x);
|
---|
| 1188 |
|
---|
| 1189 | if (base < 2 || 36 < base) {
|
---|
| 1190 | mrb_raisef(mrb, E_ARGUMENT_ERROR, "invalid radix %S", mrb_fixnum_value(base));
|
---|
| 1191 | }
|
---|
| 1192 |
|
---|
| 1193 | if (val == 0) {
|
---|
| 1194 | *--b = '0';
|
---|
| 1195 | }
|
---|
| 1196 | else if (val < 0) {
|
---|
| 1197 | do {
|
---|
| 1198 | *--b = mrb_digitmap[-(val % base)];
|
---|
| 1199 | } while (val /= base);
|
---|
| 1200 | *--b = '-';
|
---|
| 1201 | }
|
---|
| 1202 | else {
|
---|
| 1203 | do {
|
---|
| 1204 | *--b = mrb_digitmap[(int)(val % base)];
|
---|
| 1205 | } while (val /= base);
|
---|
| 1206 | }
|
---|
| 1207 |
|
---|
| 1208 | return mrb_str_new(mrb, b, buf + sizeof(buf) - b);
|
---|
| 1209 | }
|
---|
| 1210 |
|
---|
| 1211 | /* 15.2.8.3.25 */
|
---|
| 1212 | /*
|
---|
| 1213 | * call-seq:
|
---|
| 1214 | * fix.to_s(base=10) -> string
|
---|
| 1215 | *
|
---|
| 1216 | * Returns a string containing the representation of <i>fix</i> radix
|
---|
| 1217 | * <i>base</i> (between 2 and 36).
|
---|
| 1218 | *
|
---|
| 1219 | * 12345.to_s #=> "12345"
|
---|
| 1220 | * 12345.to_s(2) #=> "11000000111001"
|
---|
| 1221 | * 12345.to_s(8) #=> "30071"
|
---|
| 1222 | * 12345.to_s(10) #=> "12345"
|
---|
| 1223 | * 12345.to_s(16) #=> "3039"
|
---|
| 1224 | * 12345.to_s(36) #=> "9ix"
|
---|
| 1225 | *
|
---|
| 1226 | */
|
---|
| 1227 | static mrb_value
|
---|
| 1228 | fix_to_s(mrb_state *mrb, mrb_value self)
|
---|
| 1229 | {
|
---|
| 1230 | mrb_int base = 10;
|
---|
| 1231 |
|
---|
| 1232 | mrb_get_args(mrb, "|i", &base);
|
---|
| 1233 | return mrb_fixnum_to_str(mrb, self, base);
|
---|
| 1234 | }
|
---|
| 1235 |
|
---|
| 1236 | /* 15.2.9.3.6 */
|
---|
| 1237 | /*
|
---|
| 1238 | * call-seq:
|
---|
| 1239 | * self.f <=> other.f => -1, 0, +1
|
---|
| 1240 | * < => -1
|
---|
| 1241 | * = => 0
|
---|
| 1242 | * > => +1
|
---|
| 1243 | * Comparison---Returns -1, 0, or +1 depending on whether <i>fix</i> is
|
---|
| 1244 | * less than, equal to, or greater than <i>numeric</i>. This is the
|
---|
| 1245 | * basis for the tests in <code>Comparable</code>.
|
---|
| 1246 | */
|
---|
| 1247 | static mrb_value
|
---|
| 1248 | num_cmp(mrb_state *mrb, mrb_value self)
|
---|
| 1249 | {
|
---|
| 1250 | mrb_value other;
|
---|
| 1251 | mrb_float x, y;
|
---|
| 1252 |
|
---|
| 1253 | mrb_get_args(mrb, "o", &other);
|
---|
| 1254 |
|
---|
| 1255 | x = mrb_to_flo(mrb, self);
|
---|
| 1256 | switch (mrb_type(other)) {
|
---|
| 1257 | case MRB_TT_FIXNUM:
|
---|
| 1258 | y = (mrb_float)mrb_fixnum(other);
|
---|
| 1259 | break;
|
---|
| 1260 | case MRB_TT_FLOAT:
|
---|
| 1261 | y = mrb_float(other);
|
---|
| 1262 | break;
|
---|
| 1263 | default:
|
---|
| 1264 | return mrb_nil_value();
|
---|
| 1265 | }
|
---|
| 1266 | if (x > y)
|
---|
| 1267 | return mrb_fixnum_value(1);
|
---|
| 1268 | else {
|
---|
| 1269 | if (x < y)
|
---|
| 1270 | return mrb_fixnum_value(-1);
|
---|
| 1271 | return mrb_fixnum_value(0);
|
---|
| 1272 | }
|
---|
| 1273 | }
|
---|
| 1274 |
|
---|
| 1275 | /* 15.2.9.3.1 */
|
---|
| 1276 | /*
|
---|
| 1277 | * call-seq:
|
---|
| 1278 | * float + other -> float
|
---|
| 1279 | *
|
---|
| 1280 | * Returns a new float which is the sum of <code>float</code>
|
---|
| 1281 | * and <code>other</code>.
|
---|
| 1282 | */
|
---|
| 1283 | static mrb_value
|
---|
| 1284 | flo_plus(mrb_state *mrb, mrb_value x)
|
---|
| 1285 | {
|
---|
| 1286 | mrb_value y;
|
---|
| 1287 |
|
---|
| 1288 | mrb_get_args(mrb, "o", &y);
|
---|
| 1289 | return mrb_float_value(mrb, mrb_float(x) + mrb_to_flo(mrb, y));
|
---|
| 1290 | }
|
---|
| 1291 |
|
---|
| 1292 | /* ------------------------------------------------------------------------*/
|
---|
| 1293 | void
|
---|
| 1294 | mrb_init_numeric(mrb_state *mrb)
|
---|
| 1295 | {
|
---|
| 1296 | struct RClass *numeric, *integer, *fixnum, *fl;
|
---|
| 1297 |
|
---|
| 1298 | /* Numeric Class */
|
---|
| 1299 | numeric = mrb_define_class(mrb, "Numeric", mrb->object_class); /* 15.2.7 */
|
---|
| 1300 |
|
---|
[331] | 1301 | mrb_define_method(mrb, numeric, "**", num_pow, MRB_ARGS_REQ(1));
|
---|
| 1302 | mrb_define_method(mrb, numeric, "/", num_div, MRB_ARGS_REQ(1)); /* 15.2.8.3.4 */
|
---|
| 1303 | mrb_define_method(mrb, numeric, "quo", num_div, MRB_ARGS_REQ(1)); /* 15.2.7.4.5 (x) */
|
---|
| 1304 | mrb_define_method(mrb, numeric, "<=>", num_cmp, MRB_ARGS_REQ(1)); /* 15.2.9.3.6 */
|
---|
[270] | 1305 |
|
---|
| 1306 | /* Integer Class */
|
---|
| 1307 | integer = mrb_define_class(mrb, "Integer", numeric); /* 15.2.8 */
|
---|
[331] | 1308 | MRB_SET_INSTANCE_TT(integer, MRB_TT_FIXNUM);
|
---|
[270] | 1309 | mrb_undef_class_method(mrb, integer, "new");
|
---|
[331] | 1310 | mrb_define_method(mrb, integer, "to_i", int_to_i, MRB_ARGS_NONE()); /* 15.2.8.3.24 */
|
---|
| 1311 | mrb_define_method(mrb, integer, "to_int", int_to_i, MRB_ARGS_NONE());
|
---|
| 1312 | mrb_define_method(mrb, integer, "ceil", int_to_i, MRB_ARGS_REQ(1)); /* 15.2.8.3.8 (x) */
|
---|
| 1313 | mrb_define_method(mrb, integer, "floor", int_to_i, MRB_ARGS_REQ(1)); /* 15.2.8.3.10 (x) */
|
---|
| 1314 | mrb_define_method(mrb, integer, "round", int_to_i, MRB_ARGS_REQ(1)); /* 15.2.8.3.12 (x) */
|
---|
| 1315 | mrb_define_method(mrb, integer, "truncate", int_to_i, MRB_ARGS_REQ(1)); /* 15.2.8.3.15 (x) */
|
---|
[270] | 1316 |
|
---|
| 1317 | /* Fixnum Class */
|
---|
| 1318 | mrb->fixnum_class = fixnum = mrb_define_class(mrb, "Fixnum", integer);
|
---|
[331] | 1319 | mrb_define_method(mrb, fixnum, "+", fix_plus, MRB_ARGS_REQ(1)); /* 15.2.8.3.1 */
|
---|
| 1320 | mrb_define_method(mrb, fixnum, "-", fix_minus, MRB_ARGS_REQ(1)); /* 15.2.8.3.2 */
|
---|
| 1321 | mrb_define_method(mrb, fixnum, "*", fix_mul, MRB_ARGS_REQ(1)); /* 15.2.8.3.3 */
|
---|
| 1322 | mrb_define_method(mrb, fixnum, "%", fix_mod, MRB_ARGS_REQ(1)); /* 15.2.8.3.5 */
|
---|
| 1323 | mrb_define_method(mrb, fixnum, "==", fix_equal, MRB_ARGS_REQ(1)); /* 15.2.8.3.7 */
|
---|
| 1324 | mrb_define_method(mrb, fixnum, "~", fix_rev, MRB_ARGS_NONE()); /* 15.2.8.3.8 */
|
---|
| 1325 | mrb_define_method(mrb, fixnum, "&", fix_and, MRB_ARGS_REQ(1)); /* 15.2.8.3.9 */
|
---|
| 1326 | mrb_define_method(mrb, fixnum, "|", fix_or, MRB_ARGS_REQ(1)); /* 15.2.8.3.10 */
|
---|
| 1327 | mrb_define_method(mrb, fixnum, "^", fix_xor, MRB_ARGS_REQ(1)); /* 15.2.8.3.11 */
|
---|
| 1328 | mrb_define_method(mrb, fixnum, "<<", fix_lshift, MRB_ARGS_REQ(1)); /* 15.2.8.3.12 */
|
---|
| 1329 | mrb_define_method(mrb, fixnum, ">>", fix_rshift, MRB_ARGS_REQ(1)); /* 15.2.8.3.13 */
|
---|
| 1330 | mrb_define_method(mrb, fixnum, "eql?", fix_eql, MRB_ARGS_REQ(1)); /* 15.2.8.3.16 */
|
---|
| 1331 | mrb_define_method(mrb, fixnum, "hash", flo_hash, MRB_ARGS_NONE()); /* 15.2.8.3.18 */
|
---|
| 1332 | mrb_define_method(mrb, fixnum, "to_f", fix_to_f, MRB_ARGS_NONE()); /* 15.2.8.3.23 */
|
---|
| 1333 | mrb_define_method(mrb, fixnum, "to_s", fix_to_s, MRB_ARGS_NONE()); /* 15.2.8.3.25 */
|
---|
| 1334 | mrb_define_method(mrb, fixnum, "inspect", fix_to_s, MRB_ARGS_NONE());
|
---|
| 1335 | mrb_define_method(mrb, fixnum, "divmod", fix_divmod, MRB_ARGS_REQ(1)); /* 15.2.8.3.30 (x) */
|
---|
[270] | 1336 |
|
---|
| 1337 | /* Float Class */
|
---|
| 1338 | mrb->float_class = fl = mrb_define_class(mrb, "Float", numeric); /* 15.2.9 */
|
---|
[331] | 1339 | MRB_SET_INSTANCE_TT(fl, MRB_TT_FLOAT);
|
---|
[270] | 1340 | mrb_undef_class_method(mrb, fl, "new");
|
---|
[331] | 1341 | mrb_define_method(mrb, fl, "+", flo_plus, MRB_ARGS_REQ(1)); /* 15.2.9.3.1 */
|
---|
| 1342 | mrb_define_method(mrb, fl, "-", flo_minus, MRB_ARGS_REQ(1)); /* 15.2.9.3.2 */
|
---|
| 1343 | mrb_define_method(mrb, fl, "*", flo_mul, MRB_ARGS_REQ(1)); /* 15.2.9.3.3 */
|
---|
| 1344 | mrb_define_method(mrb, fl, "%", flo_mod, MRB_ARGS_REQ(1)); /* 15.2.9.3.5 */
|
---|
| 1345 | mrb_define_method(mrb, fl, "==", flo_eq, MRB_ARGS_REQ(1)); /* 15.2.9.3.7 */
|
---|
| 1346 | mrb_define_method(mrb, fl, "~", flo_rev, MRB_ARGS_NONE());
|
---|
| 1347 | mrb_define_method(mrb, fl, "&", flo_and, MRB_ARGS_REQ(1));
|
---|
| 1348 | mrb_define_method(mrb, fl, "|", flo_or, MRB_ARGS_REQ(1));
|
---|
| 1349 | mrb_define_method(mrb, fl, "^", flo_xor, MRB_ARGS_REQ(1));
|
---|
| 1350 | mrb_define_method(mrb, fl, ">>", flo_lshift, MRB_ARGS_REQ(1));
|
---|
| 1351 | mrb_define_method(mrb, fl, "<<", flo_rshift, MRB_ARGS_REQ(1));
|
---|
| 1352 | mrb_define_method(mrb, fl, "ceil", flo_ceil, MRB_ARGS_NONE()); /* 15.2.9.3.8 */
|
---|
| 1353 | mrb_define_method(mrb, fl, "finite?", flo_finite_p, MRB_ARGS_NONE()); /* 15.2.9.3.9 */
|
---|
| 1354 | mrb_define_method(mrb, fl, "floor", flo_floor, MRB_ARGS_NONE()); /* 15.2.9.3.10 */
|
---|
| 1355 | mrb_define_method(mrb, fl, "infinite?", flo_infinite_p, MRB_ARGS_NONE()); /* 15.2.9.3.11 */
|
---|
| 1356 | mrb_define_method(mrb, fl, "round", flo_round, MRB_ARGS_OPT(1)); /* 15.2.9.3.12 */
|
---|
| 1357 | mrb_define_method(mrb, fl, "to_f", flo_to_f, MRB_ARGS_NONE()); /* 15.2.9.3.13 */
|
---|
| 1358 | mrb_define_method(mrb, fl, "to_i", flo_truncate, MRB_ARGS_NONE()); /* 15.2.9.3.14 */
|
---|
| 1359 | mrb_define_method(mrb, fl, "to_int", flo_truncate, MRB_ARGS_NONE());
|
---|
| 1360 | mrb_define_method(mrb, fl, "truncate", flo_truncate, MRB_ARGS_NONE()); /* 15.2.9.3.15 */
|
---|
| 1361 | mrb_define_method(mrb, fl, "divmod", flo_divmod, MRB_ARGS_REQ(1));
|
---|
| 1362 | mrb_define_method(mrb, fl, "eql?", flo_eql, MRB_ARGS_REQ(1)); /* 15.2.8.3.16 */
|
---|
[270] | 1363 |
|
---|
[331] | 1364 | mrb_define_method(mrb, fl, "to_s", flo_to_s, MRB_ARGS_NONE()); /* 15.2.9.3.16(x) */
|
---|
| 1365 | mrb_define_method(mrb, fl, "inspect", flo_to_s, MRB_ARGS_NONE());
|
---|
| 1366 | mrb_define_method(mrb, fl, "nan?", flo_nan_p, MRB_ARGS_NONE());
|
---|
[270] | 1367 |
|
---|
| 1368 | #ifdef INFINITY
|
---|
| 1369 | mrb_define_const(mrb, fl, "INFINITY", mrb_float_value(mrb, INFINITY));
|
---|
| 1370 | #endif
|
---|
| 1371 | #ifdef NAN
|
---|
| 1372 | mrb_define_const(mrb, fl, "NAN", mrb_float_value(mrb, NAN));
|
---|
| 1373 | #endif
|
---|
| 1374 | }
|
---|