PR libstdc++/47913 (again)
2011-05-04 Marc Glisse <marc.glisse@normalesup.org> PR libstdc++/47913 (again) * include/std/ratio (ratio_add, ratio_less): Rewrite. * testsuite/20_util/ratio/operations/47913.cc: Extend. * testsuite/20_util/ratio/cons/cons_overflow_neg.cc: Adjust dg-error line numbers. * testsuite/20_util/ratio/operations/ops_overflow_neg.cc: Likewise. From-SVN: r173400
This commit is contained in:
Marc Glisse
Paolo Carlini
parent
40fda55b40
commit
91e4938b8c
5 changed files with 285 additions and 118 deletions
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@ -1,3 +1,12 @@
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2011-05-04 Marc Glisse <marc.glisse@normalesup.org>
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PR libstdc++/47913 (again)
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* include/std/ratio (ratio_add, ratio_less): Rewrite.
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* testsuite/20_util/ratio/operations/47913.cc: Extend.
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* testsuite/20_util/ratio/cons/cons_overflow_neg.cc: Adjust dg-error
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line numbers.
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* testsuite/20_util/ratio/operations/ops_overflow_neg.cc: Likewise.
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2011-05-03 Paolo Carlini <paolo.carlini@oracle.com>
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PR libstdc++/48848
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@ -98,41 +98,154 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
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static const uintmax_t __b1 = __static_abs<_Qn>::value / __c;
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static_assert(__a1 == 0 || __b1 == 0,
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"overflow in multiplication");
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"overflow in multiplication");
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static_assert(__a0 * __b1 + __b0 * __a1 < (__c >> 1),
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"overflow in multiplication");
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"overflow in multiplication");
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static_assert(__b0 * __a0 <= __INTMAX_MAX__,
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"overflow in multiplication");
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static_assert((__a0 * __b1 + __b0 * __a1) * __c <=
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__INTMAX_MAX__ - __b0 * __a0, "overflow in multiplication");
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"overflow in multiplication");
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static_assert((__a0 * __b1 + __b0 * __a1) * __c
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<= __INTMAX_MAX__ - __b0 * __a0,
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"overflow in multiplication");
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public:
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static const intmax_t value = _Pn * _Qn;
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};
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// Helpers for __safe_add
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template<intmax_t _Pn, intmax_t _Qn, bool>
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struct __add_overflow_check_impl
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: integral_constant<bool, (_Pn <= __INTMAX_MAX__ - _Qn)>
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// Some double-precision utilities, where numbers are represented as
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// __hi*2^(8*sizeof(uintmax_t)) + __lo.
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template<uintmax_t __hi1, uintmax_t __lo1, uintmax_t __hi2, uintmax_t __lo2>
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struct __big_less
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: integral_constant<bool, (__hi1 < __hi2
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|| (__hi1 == __hi2 && __lo1 < __lo2))>
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{ };
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template<intmax_t _Pn, intmax_t _Qn>
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struct __add_overflow_check_impl<_Pn, _Qn, false>
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: integral_constant<bool, (_Pn >= -__INTMAX_MAX__ - _Qn)>
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{ };
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template<intmax_t _Pn, intmax_t _Qn>
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struct __add_overflow_check
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: __add_overflow_check_impl<_Pn, _Qn, (_Qn >= 0)>
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{ };
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template<intmax_t _Pn, intmax_t _Qn>
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struct __safe_add
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template<uintmax_t __hi1, uintmax_t __lo1, uintmax_t __hi2, uintmax_t __lo2>
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struct __big_add
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{
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static_assert(__add_overflow_check<_Pn, _Qn>::value != 0,
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"overflow in addition");
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static constexpr uintmax_t __lo = __lo1 + __lo2;
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static constexpr uintmax_t __hi = (__hi1 + __hi2 +
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(__lo1 + __lo2 < __lo1)); // carry
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};
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static const intmax_t value = _Pn + _Qn;
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// Subtract a number from a bigger one.
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template<uintmax_t __hi1, uintmax_t __lo1, uintmax_t __hi2, uintmax_t __lo2>
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struct __big_sub
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{
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static_assert(!__big_less<__hi1, __lo1, __hi2, __lo2>::value,
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"Internal library error");
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static constexpr uintmax_t __lo = __lo1 - __lo2;
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static constexpr uintmax_t __hi = (__hi1 - __hi2 -
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(__lo1 < __lo2)); // carry
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};
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// Same principle as __safe_multiply.
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template<uintmax_t __x, uintmax_t __y>
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struct __big_mul
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{
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private:
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static constexpr uintmax_t __c = uintmax_t(1) << (sizeof(intmax_t) * 4);
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static constexpr uintmax_t __x0 = __x % __c;
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static constexpr uintmax_t __x1 = __x / __c;
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static constexpr uintmax_t __y0 = __y % __c;
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static constexpr uintmax_t __y1 = __y / __c;
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static constexpr uintmax_t __x0y0 = __x0 * __y0;
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static constexpr uintmax_t __x0y1 = __x0 * __y1;
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static constexpr uintmax_t __x1y0 = __x1 * __y0;
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static constexpr uintmax_t __x1y1 = __x1 * __y1;
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static constexpr uintmax_t __mix = __x0y1 + __x1y0; // possible carry...
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static constexpr uintmax_t __mix_lo = __mix * __c;
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static constexpr uintmax_t __mix_hi
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= __mix / __c + ((__mix < __x0y1) ? __c : 0); // ... added here
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typedef __big_add<__mix_hi, __mix_lo, __x1y1, __x0y0> _Res;
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public:
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static constexpr uintmax_t __hi = _Res::__hi;
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static constexpr uintmax_t __lo = _Res::__lo;
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};
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// Adapted from __udiv_qrnnd_c in longlong.h
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// This version assumes that the high bit of __d is 1.
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template<uintmax_t __n1, uintmax_t __n0, uintmax_t __d>
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struct __big_div_impl
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{
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private:
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static_assert(__d >= (uintmax_t(1) << (sizeof(intmax_t) * 8 - 1)),
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"Internal library error");
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static_assert(__n1 < __d, "Internal library error");
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static constexpr uintmax_t __c = uintmax_t(1) << (sizeof(intmax_t) * 4);
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static constexpr uintmax_t __d1 = __d / __c;
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static constexpr uintmax_t __d0 = __d % __c;
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static constexpr uintmax_t __q1x = __n1 / __d1;
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static constexpr uintmax_t __r1x = __n1 % __d1;
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static constexpr uintmax_t __m = __q1x * __d0;
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static constexpr uintmax_t __r1y = __r1x * __c + __n0 / __c;
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static constexpr uintmax_t __r1z = __r1y + __d;
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static constexpr uintmax_t __r1
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= ((__r1y < __m) ? ((__r1z >= __d) && (__r1z < __m))
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? (__r1z + __d) : __r1z : __r1y) - __m;
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static constexpr uintmax_t __q1
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= __q1x - ((__r1y < __m)
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? ((__r1z >= __d) && (__r1z < __m)) ? 2 : 1 : 0);
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static constexpr uintmax_t __q0x = __r1 / __d1;
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static constexpr uintmax_t __r0x = __r1 % __d1;
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static constexpr uintmax_t __n = __q0x * __d0;
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static constexpr uintmax_t __r0y = __r0x * __c + __n0 % __c;
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static constexpr uintmax_t __r0z = __r0y + __d;
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static constexpr uintmax_t __r0
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= ((__r0y < __n) ? ((__r0z >= __d) && (__r0z < __n))
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? (__r0z + __d) : __r0z : __r0y) - __n;
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static constexpr uintmax_t __q0
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= __q0x - ((__r0y < __n) ? ((__r0z >= __d)
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&& (__r0z < __n)) ? 2 : 1 : 0);
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public:
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static constexpr uintmax_t __quot = __q1 * __c + __q0;
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static constexpr uintmax_t __rem = __r0;
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private:
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typedef __big_mul<__quot, __d> _Prod;
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typedef __big_add<_Prod::__hi, _Prod::__lo, 0, __rem> _Sum;
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static_assert(_Sum::__hi == __n1 && _Sum::__lo == __n0,
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"Internal library error");
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};
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template<uintmax_t __n1, uintmax_t __n0, uintmax_t __d>
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struct __big_div
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{
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private:
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static_assert(__d != 0, "Internal library error");
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static_assert(sizeof (uintmax_t) == sizeof (unsigned long long),
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"This library calls __builtin_clzll on uintmax_t, which "
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"is unsafe on your platform. Please complain to "
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"http://gcc.gnu.org/bugzilla/");
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static constexpr int __shift = __builtin_clzll(__d);
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static constexpr int __coshift_ = sizeof(uintmax_t) * 8 - __shift;
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static constexpr int __coshift = (__shift != 0) ? __coshift_ : 0;
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static constexpr uintmax_t __c1 = uintmax_t(1) << __shift;
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static constexpr uintmax_t __c2 = uintmax_t(1) << __coshift;
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static constexpr uintmax_t __new_d = __d * __c1;
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static constexpr uintmax_t __new_n0 = __n0 * __c1;
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static constexpr uintmax_t __n1_shifted = (__n1 % __d) * __c1;
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static constexpr uintmax_t __n0_top = (__shift != 0) ? (__n0 / __c2) : 0;
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static constexpr uintmax_t __new_n1 = __n1_shifted + __n0_top;
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typedef __big_div_impl<__new_n1, __new_n0, __new_d> _Res;
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public:
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static constexpr uintmax_t __quot_hi = __n1 / __d;
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static constexpr uintmax_t __quot_lo = _Res::__quot;
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static constexpr uintmax_t __rem = _Res::__rem / __c1;
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private:
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typedef __big_mul<__quot_lo, __d> _P0;
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typedef __big_mul<__quot_hi, __d> _P1;
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typedef __big_add<_P0::__hi, _P0::__lo, _P1::__lo, __rem> _Sum;
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// No overflow.
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static_assert(_P1::__hi == 0, "Internal library error");
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static_assert(_Sum::__hi >= _P0::__hi, "Internal library error");
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// Matches the input data.
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static_assert(_Sum::__hi == __n1 && _Sum::__lo == __n0,
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"Internal library error");
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static_assert(__rem < __d, "Internal library error");
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};
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/**
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@ -172,53 +285,6 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
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template<intmax_t _Num, intmax_t _Den>
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constexpr intmax_t ratio<_Num, _Den>::den;
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/// ratio_add
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template<typename _R1, typename _R2>
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struct ratio_add
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{
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private:
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static constexpr intmax_t __gcd =
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__static_gcd<_R1::den, _R2::den>::value;
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static constexpr intmax_t __n = __safe_add<
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__safe_multiply<_R1::num, (_R2::den / __gcd)>::value,
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__safe_multiply<_R2::num, (_R1::den / __gcd)>::value>::value;
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// The new numerator may have common factors with the denominator,
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// but they have to also be factors of __gcd.
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static constexpr intmax_t __gcd2 = __static_gcd<__n, __gcd>::value;
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public:
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typedef ratio<__n / __gcd2,
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__safe_multiply<_R1::den / __gcd2, _R2::den / __gcd>::value> type;
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static constexpr intmax_t num = type::num;
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static constexpr intmax_t den = type::den;
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};
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template<typename _R1, typename _R2>
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constexpr intmax_t ratio_add<_R1, _R2>::num;
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template<typename _R1, typename _R2>
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constexpr intmax_t ratio_add<_R1, _R2>::den;
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/// ratio_subtract
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template<typename _R1, typename _R2>
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struct ratio_subtract
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{
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typedef typename ratio_add<
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_R1,
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ratio<-_R2::num, _R2::den>>::type type;
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static constexpr intmax_t num = type::num;
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static constexpr intmax_t den = type::den;
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};
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template<typename _R1, typename _R2>
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constexpr intmax_t ratio_subtract<_R1, _R2>::num;
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template<typename _R1, typename _R2>
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constexpr intmax_t ratio_subtract<_R1, _R2>::den;
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/// ratio_multiply
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template<typename _R1, typename _R2>
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struct ratio_multiply
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@ -278,45 +344,13 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
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: integral_constant<bool, !ratio_equal<_R1, _R2>::value>
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{ };
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// 0 <= _Ri < 1
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// If one is 0, conclude
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// Otherwise, x < y iff 1/y < 1/x
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template<typename _R1, typename _R2>
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struct __ratio_less_impl_2;
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// _Ri > 0
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// Compare the integral parts, and remove them if they are equal
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template<typename _R1, typename _R2, intmax_t __q1 = _R1::num / _R1::den,
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intmax_t __q2 = _R2::num / _R2::den, bool __eq = (__q1 == __q2)>
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// Both numbers are positive.
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template<typename _R1, typename _R2,
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typename _Left = __big_mul<_R1::num,_R2::den>,
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typename _Right = __big_mul<_R2::num,_R1::den> >
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struct __ratio_less_impl_1
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: __ratio_less_impl_2<ratio<_R1::num % _R1::den, _R1::den>,
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ratio<_R2::num % _R2::den, _R2::den> >::type
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{ };
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template<typename _R1, typename _R2, intmax_t __q1, intmax_t __q2>
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struct __ratio_less_impl_1<_R1, _R2, __q1, __q2, false>
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: integral_constant<bool, (__q1 < __q2) >
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{ };
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template<typename _R1, typename _R2>
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struct __ratio_less_impl_2
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: __ratio_less_impl_1<ratio<_R2::den, _R2::num>,
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ratio<_R1::den, _R1::num> >::type
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{ };
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template<intmax_t __d1, typename _R2>
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struct __ratio_less_impl_2<ratio<0, __d1>, _R2>
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: integral_constant<bool, true>
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{ };
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template<typename _R1, intmax_t __d2>
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struct __ratio_less_impl_2<_R1, ratio<0, __d2> >
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: integral_constant<bool, false>
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{ };
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template<intmax_t __d1, intmax_t __d2>
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struct __ratio_less_impl_2<ratio<0, __d1>, ratio<0, __d2> >
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: integral_constant<bool, false>
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: integral_constant<bool, __big_less<_Left::__hi, _Left::__lo,
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_Right::__hi, _Right::__lo>::value>
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{ };
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template<typename _R1, typename _R2,
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@ -341,7 +375,6 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
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{ };
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/// ratio_less
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// using a continued fraction expansion
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template<typename _R1, typename _R2>
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struct ratio_less
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: __ratio_less_impl<_R1, _R2>::type
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@ -365,6 +398,110 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
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: integral_constant<bool, !ratio_less<_R1, _R2>::value>
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{ };
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template<typename _R1, typename _R2,
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bool = (_R1::num >= 0),
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bool = (_R2::num >= 0),
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bool = ratio_less<ratio<__static_abs<_R1::num>::value, _R1::den>,
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ratio<__static_abs<_R2::num>::value, _R2::den> >::value>
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struct __ratio_add_impl
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{
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private:
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typedef typename __ratio_add_impl<
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ratio<-_R1::num, _R1::den>,
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ratio<-_R2::num, _R2::den> >::type __t;
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public:
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typedef ratio<-__t::num, __t::den> type;
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};
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// True addition of nonnegative numbers.
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template<typename _R1, typename _R2, bool __b>
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struct __ratio_add_impl<_R1, _R2, true, true, __b>
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{
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private:
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static constexpr uintmax_t __g = __static_gcd<_R1::den, _R2::den>::value;
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static constexpr uintmax_t __d2 = _R2::den / __g;
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typedef __big_mul<_R1::den, __d2> __d;
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typedef __big_mul<_R1::num, _R2::den / __g> __x;
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typedef __big_mul<_R2::num, _R1::den / __g> __y;
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typedef __big_add<__x::__hi, __x::__lo, __y::__hi, __y::__lo> __n;
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static_assert(__n::__hi >= __x::__hi, "Internal library error");
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typedef __big_div<__n::__hi, __n::__lo, __g> __ng;
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static constexpr uintmax_t __g2 = __static_gcd<__ng::__rem, __g>::value;
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typedef __big_div<__n::__hi, __n::__lo, __g2> __n_final;
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static_assert(__n_final::__rem == 0, "Internal library error");
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static_assert(__n_final::__quot_hi == 0 &&
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__n_final::__quot_lo <= __INTMAX_MAX__, "overflow in addition");
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typedef __big_mul<_R1::den / __g2, __d2> __d_final;
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static_assert(__d_final::__hi == 0 &&
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__d_final::__lo <= __INTMAX_MAX__, "overflow in addition");
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public:
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typedef ratio<__n_final::__quot_lo, __d_final::__lo> type;
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};
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template<typename _R1, typename _R2>
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struct __ratio_add_impl<_R1, _R2, false, true, true>
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: __ratio_add_impl<_R2, _R1>
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{ };
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// True subtraction of nonnegative numbers yielding a nonnegative result.
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template<typename _R1, typename _R2>
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struct __ratio_add_impl<_R1, _R2, true, false, false>
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{
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private:
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static constexpr uintmax_t __g = __static_gcd<_R1::den, _R2::den>::value;
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static constexpr uintmax_t __d2 = _R2::den / __g;
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typedef __big_mul<_R1::den, __d2> __d;
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typedef __big_mul<_R1::num, _R2::den / __g> __x;
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typedef __big_mul<-_R2::num, _R1::den / __g> __y;
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typedef __big_sub<__x::__hi, __x::__lo, __y::__hi, __y::__lo> __n;
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typedef __big_div<__n::__hi, __n::__lo, __g> __ng;
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static constexpr uintmax_t __g2 = __static_gcd<__ng::__rem, __g>::value;
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typedef __big_div<__n::__hi, __n::__lo, __g2> __n_final;
|
||||
static_assert(__n_final::__rem == 0, "Internal library error");
|
||||
static_assert(__n_final::__quot_hi == 0 &&
|
||||
__n_final::__quot_lo <= __INTMAX_MAX__, "overflow in addition");
|
||||
typedef __big_mul<_R1::den / __g2, __d2> __d_final;
|
||||
static_assert(__d_final::__hi == 0 &&
|
||||
__d_final::__lo <= __INTMAX_MAX__, "overflow in addition");
|
||||
public:
|
||||
typedef ratio<__n_final::__quot_lo, __d_final::__lo> type;
|
||||
};
|
||||
|
||||
/// ratio_add
|
||||
template<typename _R1, typename _R2>
|
||||
struct ratio_add
|
||||
{
|
||||
typedef typename __ratio_add_impl<_R1, _R2>::type type;
|
||||
static constexpr intmax_t num = type::num;
|
||||
static constexpr intmax_t den = type::den;
|
||||
};
|
||||
|
||||
template<typename _R1, typename _R2>
|
||||
constexpr intmax_t ratio_add<_R1, _R2>::num;
|
||||
|
||||
template<typename _R1, typename _R2>
|
||||
constexpr intmax_t ratio_add<_R1, _R2>::den;
|
||||
|
||||
/// ratio_subtract
|
||||
template<typename _R1, typename _R2>
|
||||
struct ratio_subtract
|
||||
{
|
||||
typedef typename ratio_add<
|
||||
_R1,
|
||||
ratio<-_R2::num, _R2::den>>::type type;
|
||||
|
||||
static constexpr intmax_t num = type::num;
|
||||
static constexpr intmax_t den = type::den;
|
||||
};
|
||||
|
||||
template<typename _R1, typename _R2>
|
||||
constexpr intmax_t ratio_subtract<_R1, _R2>::num;
|
||||
|
||||
template<typename _R1, typename _R2>
|
||||
constexpr intmax_t ratio_subtract<_R1, _R2>::den;
|
||||
|
||||
|
||||
|
||||
typedef ratio<1, 1000000000000000000> atto;
|
||||
typedef ratio<1, 1000000000000000> femto;
|
||||
typedef ratio<1, 1000000000000> pico;
|
||||
|
|
|
|||
|
|
@ -49,6 +49,6 @@ test04()
|
|||
// { dg-error "instantiated from here" "" { target *-*-* } 34 }
|
||||
// { dg-error "instantiated from here" "" { target *-*-* } 40 }
|
||||
// { dg-error "instantiated from here" "" { target *-*-* } 46 }
|
||||
// { dg-error "denominator cannot be zero" "" { target *-*-* } 155 }
|
||||
// { dg-error "out of range" "" { target *-*-* } 156 }
|
||||
// { dg-error "denominator cannot be zero" "" { target *-*-* } 268 }
|
||||
// { dg-error "out of range" "" { target *-*-* } 269 }
|
||||
// { dg-error "overflow in constant expression" "" { target *-*-* } 99 }
|
||||
|
|
|
|||
|
|
@ -19,6 +19,7 @@
|
|||
// <http://www.gnu.org/licenses/>.
|
||||
|
||||
#include <ratio>
|
||||
#include <limits>
|
||||
#include <testsuite_hooks.h>
|
||||
|
||||
// libstdc++/47913
|
||||
|
|
@ -27,12 +28,32 @@ void test01()
|
|||
bool test __attribute__((unused)) = true;
|
||||
using namespace std;
|
||||
|
||||
const intmax_t m = (intmax_t)1 << (4 * sizeof(intmax_t) - 1);
|
||||
typedef ratio_add<ratio<1, (m - 1) * (m - 2)>,
|
||||
ratio<1, (m - 3) * (m - 2)> > ra_type;
|
||||
const intmax_t m1 = (intmax_t)1 << (4 * sizeof(intmax_t) - 1);
|
||||
typedef ratio_add<ratio<1, (m1 - 1) * (m1 - 2)>,
|
||||
ratio<1, (m1 - 3) * (m1 - 2)> > ra_type1;
|
||||
VERIFY( ra_type1::num == 2 );
|
||||
VERIFY( ra_type1::den == (m1 - 1) * (m1 - 3) );
|
||||
|
||||
VERIFY( ra_type::num == 2 );
|
||||
VERIFY( ra_type::den == (m - 1) * (m - 3) );
|
||||
const intmax_t m2 = numeric_limits<intmax_t>::max();
|
||||
typedef ratio_add<ratio<m2, 2>,
|
||||
ratio<-m2, 3> > ra_type2;
|
||||
VERIFY( ra_type2::num == m2 );
|
||||
VERIFY( ra_type2::den == 6 );
|
||||
|
||||
typedef ratio_add<ratio<m2 / 7 * 5 - 1, 5>,
|
||||
ratio<-m2 + 2, 7> > ra_type3;
|
||||
ra_type3();
|
||||
|
||||
const intmax_t m3 = numeric_limits<intmax_t>::max() - 1;
|
||||
typedef ratio_add<ratio<-m3 / 7 * 5 - 1, 5>,
|
||||
ratio<m3, 7> > ra_type4;
|
||||
ra_type4();
|
||||
|
||||
const intmax_t m4 = numeric_limits<intmax_t>::max() / 2;
|
||||
typedef ratio_add<ratio<m4 - 5, 15>,
|
||||
ratio<m4, 35> > ra_type5;
|
||||
VERIFY( ra_type5::num == (2 * m4 - 7) );
|
||||
VERIFY( ra_type5::den == 21 );
|
||||
}
|
||||
|
||||
int main()
|
||||
|
|
|
|||
|
|
@ -39,7 +39,7 @@ test02()
|
|||
// { dg-error "instantiated from here" "" { target *-*-* } 29 }
|
||||
// { dg-error "instantiated from here" "" { target *-*-* } 35 }
|
||||
// { dg-error "instantiated from here" "" { target *-*-* } 36 }
|
||||
// { dg-error "overflow in addition" "" { target *-*-* } 132 }
|
||||
// { dg-error "overflow in addition" "" { target *-*-* } 432 }
|
||||
// { dg-error "overflow in multiplication" "" { target *-*-* } 104 }
|
||||
// { dg-error "overflow in multiplication" "" { target *-*-* } 100 }
|
||||
// { dg-error "overflow in multiplication" "" { target *-*-* } 102 }
|
||||
|
|
|
|||
Loading…
Add table
Reference in a new issue