#include #include #include #include #include #ifndef MRB_NO_FLOAT static mrb_value flo_remainder(mrb_state *mrb, mrb_value self); #endif /* * call-seq: * num.remainder(numeric) -> real * * x.remainder(y) means x-y*(x/y).truncate. * * See Numeric#divmod. */ static mrb_value int_remainder(mrb_state *mrb, mrb_value x) { mrb_value y = mrb_get_arg1(mrb); mrb_int a, b; #ifdef MRB_USE_BIGINT if (mrb_bigint_p(x)) { if (mrb_integer_p(y) || mrb_bigint_p(y)) { return mrb_bint_rem(mrb, x, y); } return flo_remainder(mrb, mrb_float_value(mrb, mrb_as_float(mrb, x))); } #endif a = mrb_integer(x); if (mrb_integer_p(y)) { b = mrb_integer(y); if (b == 0) mrb_int_zerodiv(mrb); if (a == MRB_INT_MIN && b == -1) return mrb_fixnum_value(0); return mrb_int_value(mrb, a % b); } #ifdef MRB_NO_FLOAT mrb_raise(mrb, E_TYPE_ERROR, "non integer remainder"); #else return flo_remainder(mrb, mrb_float_value(mrb, mrb_as_float(mrb, x))); #endif } mrb_value mrb_int_pow(mrb_state *mrb, mrb_value x, mrb_value y); /* * call-seq: * integer.pow(numeric) -> numeric * integer.pow(integer, integer) -> integer * * Returns (modular) exponentiation as: * * a.pow(b) #=> same as a**b * a.pow(b, m) #=> same as (a**b) % m, but avoids huge temporary values */ static mrb_value int_powm(mrb_state *mrb, mrb_value x) { mrb_value m; mrb_int e, exp, mod, result = 1; if (mrb_get_argc(mrb) == 1) { return mrb_int_pow(mrb, x, mrb_get_arg1(mrb)); } mrb_get_args(mrb, "io", &e, &m); if (e < 0) mrb_raise(mrb, E_ARGUMENT_ERROR, "int.pow(n,m): n must be positive"); #ifdef MRB_USE_BIGINT if (mrb_bigint_p(x)) { return mrb_bint_powm(mrb, x, e, m); } if (mrb_bigint_p(m)) { return mrb_bint_powm(mrb, mrb_bint_new_int(mrb, mrb_integer(x)), e, m); } #endif if (!mrb_integer_p(m)) mrb_raise(mrb, E_TYPE_ERROR, "int.pow(n,m): m must be integer"); mod = mrb_integer(m); if (mod < 0) mrb_raise(mrb, E_ARGUMENT_ERROR, "int.pow(n,m): m must be positive when 2nd argument specified"); if (mod == 0) mrb_int_zerodiv(mrb); if (mod == 1) return mrb_fixnum_value(0); mrb_int base = mrb_integer(x); exp = e; for (;;) { mrb_int tmp; if (exp & 1) { if (mrb_int_mul_overflow(result, base, &tmp)) { result %= mod; base %= mod; if (mrb_int_mul_overflow(result, base, &tmp)) { #ifdef MRB_USE_BIGINT return mrb_bint_powm(mrb, mrb_bint_new_int(mrb, mrb_integer(x)), e, m); #else mrb_int_overflow(mrb, "pow"); #endif } } result = tmp % mod; } exp >>= 1; if (exp == 0) break; if (mrb_int_mul_overflow(base, base, &tmp)) { base %= mod; if (mrb_int_mul_overflow(base, base, &tmp)) { #ifdef MRB_USE_BIGINT return mrb_bint_powm(mrb, mrb_bint_new_int(mrb, mrb_integer(x)), e, m); #else mrb_int_overflow(mrb, "pow"); #endif } } base = tmp % mod; } return mrb_int_value(mrb, result); } /* * call-seq: * digits(base = 10) -> array_of_integers * * Returns an array of integers representing the +base+-radix * digits of +self+; * the first element of the array represents the least significant digit: * * 12345.digits # => [5, 4, 3, 2, 1] * 12345.digits(7) # => [4, 6, 6, 0, 5] * 12345.digits(100) # => [45, 23, 1] * * Raises an exception if +self+ is negative or +base+ is less than 2. * */ static mrb_value int_digits(mrb_state *mrb, mrb_value self) { mrb_int base = 10; mrb_get_args(mrb, "|i", &base); if (base < 0) { mrb_raise(mrb, E_ARGUMENT_ERROR, "negative radix"); } else if (base < 2) { mrb_raisef(mrb, E_ARGUMENT_ERROR, "invalid radix %i", base); } #ifdef MRB_USE_BIGINT if (mrb_bigint_p(self)) { mrb_value x = self; mrb_value zero = mrb_fixnum_value(0); mrb_value bv = mrb_int_value(mrb, base); if (mrb_bint_cmp(mrb, x, zero) < 0) { mrb_raise(mrb, E_ARGUMENT_ERROR, "number should be positive"); } mrb_value digits = mrb_ary_new(mrb); while (mrb_bint_cmp(mrb, x, zero) == 0) { mrb_ary_push(mrb, digits, zero); return digits; } while (mrb_bint_cmp(mrb, x, zero) > 0) { mrb_value q = mrb_bint_mod(mrb, x, bv); mrb_ary_push(mrb, digits, q); x = mrb_bint_div(mrb, x, bv); if (!mrb_bigint_p(x)) { mrb_int n = mrb_integer(x); while (n > 0) { mrb_int q = n % base; mrb_ary_push(mrb, digits, mrb_int_value(mrb, q)); n /= base; } break; } } return digits; } #endif mrb_int n = mrb_integer(self); if (n < 0) { mrb_raise(mrb, E_ARGUMENT_ERROR, "number should be positive"); } mrb_value digits = mrb_ary_new(mrb); if (n == 0) { mrb_ary_push(mrb, digits, mrb_fixnum_value(0)); return digits; } while (n > 0) { mrb_int q = n % base; mrb_ary_push(mrb, digits, mrb_int_value(mrb, q)); n /= base; } return digits; } #ifndef MRB_NO_FLOAT static mrb_value flo_remainder(mrb_state *mrb, mrb_value self) { mrb_float a, b; a = mrb_float(self); mrb_get_args(mrb, "f", &b); if (b == 0) mrb_int_zerodiv(mrb); if (isinf(b)) return mrb_float_value(mrb, a); return mrb_float_value(mrb, a-b*trunc(a/b)); } #endif void mrb_mruby_numeric_ext_gem_init(mrb_state* mrb) { struct RClass *i = mrb->integer_class; mrb_define_alias(mrb, i, "modulo", "%"); mrb_define_method(mrb, i, "remainder", int_remainder, MRB_ARGS_REQ(1)); mrb_define_method_id(mrb, i, MRB_SYM(pow), int_powm, MRB_ARGS_ARG(1,1)); mrb_define_method_id(mrb, i, MRB_SYM(digits), int_digits, MRB_ARGS_OPT(1)); #ifndef MRB_NO_FLOAT struct RClass *f = mrb->float_class; mrb_define_alias(mrb, f, "modulo", "%"); mrb_define_method(mrb, f, "remainder", flo_remainder, MRB_ARGS_REQ(1)); mrb_define_const_id(mrb, mrb->float_class, MRB_SYM(RADIX), mrb_fixnum_value(MRB_FLT_RADIX)); mrb_define_const_id(mrb, mrb->float_class, MRB_SYM(MANT_DIG), mrb_fixnum_value(MRB_FLT_MANT_DIG)); mrb_define_const_id(mrb, mrb->float_class, MRB_SYM(EPSILON), mrb_float_value(mrb, MRB_FLT_EPSILON)); mrb_define_const_id(mrb, mrb->float_class, MRB_SYM(DIG), mrb_fixnum_value(MRB_FLT_DIG)); mrb_define_const_id(mrb, mrb->float_class, MRB_SYM(MIN_EXP), mrb_fixnum_value(MRB_FLT_MIN_EXP)); mrb_define_const_id(mrb, mrb->float_class, MRB_SYM(MIN), mrb_float_value(mrb, MRB_FLT_MIN)); mrb_define_const_id(mrb, mrb->float_class, MRB_SYM(MIN_10_EXP), mrb_fixnum_value(MRB_FLT_MIN_10_EXP)); mrb_define_const_id(mrb, mrb->float_class, MRB_SYM(MAX_EXP), mrb_fixnum_value(MRB_FLT_MAX_EXP)); mrb_define_const_id(mrb, mrb->float_class, MRB_SYM(MAX), mrb_float_value(mrb, MRB_FLT_MAX)); mrb_define_const_id(mrb, mrb->float_class, MRB_SYM(MAX_10_EXP), mrb_fixnum_value(MRB_FLT_MAX_10_EXP)); #endif /* MRB_NO_FLOAT */ } void mrb_mruby_numeric_ext_gem_final(mrb_state* mrb) { }