On Mon, 20 Jul 2026 at 13:02, Tomasz Kaminski <[email protected]> wrote:
>
>
>
> On Mon, Jul 20, 2026 at 1:45 PM Jonathan Wakely <[email protected]> wrote:
>>
>> On Tue, 02 Jun 2026 at 16:01 +0200, Tomasz Kamiński wrote:
>> >This patch splits implementation of generate_cannonical_any, into tree
>>
>> "canonical"
>> "three"
>>
>> >different path depending on bits generated (R), required bits of entropy
>> >(b), and value k such that R^k > 2^d > R^(k-1):
>> >* log2(R) >= d: single call of generator is sufficient (k = 1),
>> >  and computation can be performed in the generator value type (_UIntR)
>> >* bit_width(R^k) <= 128: computation can be performed using type
>> >  __detail::_Select_uint_least_t; previous implementation is reused
>> >* bit_width(R^k) > 128: the computations required may overflow 128 bit;
>> >  such generators were previously unsupported, as illustrated by
>> >  r17-507-g5d17eec7d83445
>> >
>> >This patch implements the support for the last branch, by observing
>> >that while it is possible for computation to overflow 128 the sum:
>> >  sum_[0, k) urng() * R^i
>> >The values of sum, such that (sum / x * 2^d) > 1, are rejected, and
>> >any value (sum / x) > 2^d can be rejected. As 2^d is guaranteed to fit
>> >in 128 integer, we can use above to reject the value, before overflow
>> >will occur.
>> >
>> >Firstly, we know that for l = k-1, the value R^l < 2^d, and
>> >sum_[0, l) urng() * R^i <= R^l (because urng() is alwayus < R),
>>
>> "always"
>>
>> >always fit in 128bit integer. We compute tha valuet (__lsum) using
>>
>> "value"
>>
>> >normal loop.
>> >
>> >This leaves us with final iteration of multiplying __kth * R^l,
>> >where __kth is result of invocation of urng. In that case we
>> >compute the bitwidth (__abits) of value that can be multiplied
>> >by _R^l without overflow 128bit integer. The __kth * R^l is
>> >performed by multiplying the loop of __abits of __kth in
>> >loop where:
>> >*  __sumx (initially __lsum / __x) is the current value of sum / x
>> >*  __remx (initially 2^d - __sumx) is the value that we can still
>> >   add before overflowing (shifted with each iteration)
>> >*  __modx (initially __modx % __x) are corrected reminders
>> >In each iteration the lowest __kth bits are multiplied with _Rl (__val),
>> >scaled (__valx) and checked against __rem. When fits the __sumx, __modx
>> >and __remx are updated, and both values of __remx and __kth are shifted
>> >right by __abits.
>> >
>> >If the multiplication finished without overflow (__kth is zero),
>> > we handle the collected reminders (__modx), and compute the __ret value.
>>
>> "remainders" (and there seems to be a stray space at the start of the
>> line)
>>
>> >The value greater or equal 1 (e.g. due floating point aproximation), are
>>
>> "approximation"
>>
>> >still rejected.
>> >
>> >Similar approach is applied when computing x = R^k / 2^d.
>> >Again while R^k will overflow 128 bits, we know that x < R (so fits
>> >in 64bits), as R^l < 2^d < R^k, then x < R. We again compute
>> >R * R^l / 2^d, by splitting the value of R into __abits chunks (_pR).
>> >For result of chunks multipliations (_pRk), the bits (_xp) remaining
>>
>> "multiplications"
>>
>> >after division by __shift (starts from __d and reduces by __abits),
>> >are collected into cumulative value of __x. While the lower bits
>> >are preserved for later iteration (__pRk).
>> >
>> >       PR libstdc++/119739
>> >
>> >libstdc++-v3/ChangeLog:
>> >
>> >       * include/bits/random.tcc (__generate_canonical_any):
>> >       Rewrite to support more cases.
>> >       * 
>> > testsuite/26_numerics/random/uniform_real_distribution/operators/gencanon.cc:
>> >       Add test for previously unsupported generator.
>> >       * 
>> > testsuite/26_numerics/random/uniform_real_distribution/operators/gencanon_eng.cc:
>> >       Add test for previously unsuported-generator ranges.
>> >       * 
>> > testsuite/26_numerics/random/uniform_real_distribution/operators/gencanon_eng_neg.cc:
>> >       Moved (now-supported) generator test to gencanon_eng.cc, and removed
>> >       the file.
>> >---
>> >Tested on x86_64-linux. Also tested a modified version, with __bits <= 128
>> >branch being removed and __abits hardoced to 10. This confirms that new
>> >implementation gives the same output as existing one.
>> >
>> >OK for trunk?
>> >
>> > libstdc++-v3/include/bits/random.tcc          | 169 +++++++++++++++---
>> > .../operators/gencanon.cc                     |  96 ++++++++++
>> > .../operators/gencanon_eng.cc                 |  63 +++++++
>> > .../operators/gencanon_eng_neg.cc             |  89 ---------
>> > 4 files changed, 300 insertions(+), 117 deletions(-)
>> > delete mode 100644 
>> > libstdc++-v3/testsuite/26_numerics/random/uniform_real_distribution/operators/gencanon_eng_neg.cc
>> >
>> >diff --git a/libstdc++-v3/include/bits/random.tcc 
>> >b/libstdc++-v3/include/bits/random.tcc
>> >index a8fab79961d..aa1f4a83a66 100644
>> >--- a/libstdc++-v3/include/bits/random.tcc
>> >+++ b/libstdc++-v3/include/bits/random.tcc
>> >@@ -242,7 +242,7 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
>> >     constexpr size_t
>> >     mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d,
>> >                           __s, __b, __t, __c, __l, __f>::tempering_u;
>> >-
>> >+
>> >   template<typename _UIntType,
>> >          size_t __w, size_t __n, size_t __m, size_t __r,
>> >          _UIntType __a, size_t __u, _UIntType __d, size_t __s,
>> >@@ -3753,38 +3753,151 @@ namespace __detail
>> >       constexpr unsigned __log2R
>> >       = sizeof(_UIntR) * __CHAR_BIT__ - __builtin_clzg(__R) - 1;
>> >       // We overstimate number of required bits, by computing
>> >-      // r such that l * log2(R) >= d, so:
>> >-      // R^l >= (2 ^ log2(R)) ^ l == 2 ^ (log2(r) * l) >= 2^d
>> >-      // And then requiring l * bit_width(R) bits.
>> >-      constexpr unsigned __l = (__d + __log2R - 1) / __log2R;
>> >-      constexpr unsigned __bits = (__log2R + 1) * __l;
>> >-      using _UInt = typename __detail::_Select_uint_least_t<__bits>::type;
>> >-
>> >-      _GLIBCXX_GEN_CANON_CONST _UInt __rd = _UInt(1) << __d;
>> >-      _GLIBCXX_GEN_CANON_CONST auto __logRrd = __gen_canon_log(__rd, __R);
>> >-      _GLIBCXX_GEN_CANON_CONST unsigned __k
>> >-       = __logRrd.__floor_log + (__rd > __logRrd.__floor_pow);
>> >-
>> >-      _GLIBCXX_GEN_CANON_CONST _UInt __Rk
>> >-       = (__k > __logRrd.__floor_log)
>> >-         ? _UInt(__logRrd.__floor_pow) * _UInt(__R)
>> >-         : _UInt(__logRrd.__floor_pow);
>> >-      _GLIBCXX_GEN_CANON_CONST _UInt __x =  __Rk / __rd;
>> >+      // r such that m * log2(R) >= d, so:
>> >+      // R^m >= (2 ^ log2(R)) ^ m == 2 ^ (log2(r) * m) >= 2^d
>> >+      // And then requiring m * bit_width(R) bits.
>> >+      constexpr unsigned __m = (__d + __log2R - 1) / __log2R;
>> >+      constexpr unsigned __bits = (__log2R + 1) * __m;
>> >+      if constexpr (__log2R >= __d)
>> >+      {
>> >+        // range already provide required number of bits,
>> >+        // so in this case __k == 1, and single call to generator
>> >+        // is sufficient. Futhermore 2^d fits in _UIntR
>> >+        constexpr _UIntR __rd = _UIntR(1) << __d;
>> >+        constexpr _UIntR __x = __R >> __d;
>> >
>> >-      while (true)
>> >+        while (true)
>> >+          {
>> >+            _UIntR __val(__urng() - _Urbg::min());
>> >+            const _RealT __ret = _RealT(__val / __x) / _RealT(__rd);
>> >+            if (__ret < _RealT(1.0))
>> >+              return __ret;
>> >+          }
>> >+      }
>> >+      // generator call produce less bits than __d, but R^k > rd fits
>>
>> s/less/fewer/
>>
>> >+      // into 128 bits.
>> >+      else if constexpr (__bits <= 128)
>> >       {
>> >-        _UInt __Ri{1};
>> >-        _UInt __sum(__urng() - _Urbg::min());
>> >-        for (int __i = __k - 1; __i > 0; --__i)
>> >+        using _UInt = typename 
>> >__detail::_Select_uint_least_t<__bits>::type;
>> >+
>> >+        _GLIBCXX_GEN_CANON_CONST _UInt __rd = _UInt(1) << __d;
>> >+        _GLIBCXX_GEN_CANON_CONST auto __logRrd = __gen_canon_log(__rd, 
>> >__R);
>> >+        // __rd is power of two, and __R is not so __floor_pow is never
>> >+        // equal to __rd.
>> >+        _GLIBCXX_GEN_CANON_CONST unsigned __k = __logRrd.__floor_log + 1;
>> >+        _GLIBCXX_GEN_CANON_CONST _UInt __Rk = __logRrd.__floor_pow * 
>> >_UInt(__R);
>> >+        // x = floor(R^k / 2^d) = R^k >> d;
>> >+        _GLIBCXX_GEN_CANON_CONST _UInt __x =  __Rk >> __d;
>> >+
>> >+        while (true)
>> >           {
>> >-            __Ri *= _UInt(__R);
>> >-            __sum += _UInt(__urng() - _Urbg::min()) * __Ri;
>> >+            _UInt __Ri{1};
>> >+            _UInt __sum(__urng() - _Urbg::min());
>> >+            for (int __i = __k - 1; __i > 0; --__i)
>> >+              {
>> >+                __Ri *= __R;
>> >+                __sum += __Ri * _UIntR(__urng() - _Urbg::min());
>> >+              }
>> >+            const _RealT __ret = _RealT(__sum / __x) / _RealT(__rd);
>> >+            if (__ret < _RealT(1.0))
>> >+              return __ret;
>> >           }
>> >-        const _RealT __ret = _RealT(__sum / __x) / _RealT(__rd);
>> >-        if (__ret < _RealT(1.0))
>> >-          return __ret;
>> >       }
>> >-#undef _GLIBCXX_GEN_CANON_CONST
>> >+      else
>> >+      {
>> >+#pragma GCC diagnostic ignored "-Wshift-count-overflow" // we shift by 
>> >64bits
>>
>> There's no push/pop around this pragma, but why is it here at all?
>
> We are inside push/pop for if constexpr, so I didn't think I needed to add a 
> new set.

Ah yes, I looked at the wrong place. That's right then, but I'd like a
better comment on the pragma to say what it's for. If it's a false
positive due to a compiler bug, say that.


>
>>
>> Doesn't this warning indicate undefined behaviour, so we don't want to
>> just suppress it?
>
> As far as I recall, I thought this is UB caused by compiler, but that was 6 
> months ago,
> Let me double check to be certain.
>>
>>
>> >+                static_assert(__log2R < 64, "Only generators emitting up 
>> >to 64 bits are supported");
>> >+        using _UInt = typename __detail::_Select_uint_least_t<128>::type;
>> >+        using _UInt64 = typename __detail::_Select_uint_least_t<64>::type;
>> >+
>> >+        _GLIBCXX_GEN_CANON_CONST _UInt __rd = _UInt(1) << __d;
>> >+        _GLIBCXX_GEN_CANON_CONST auto __logRrd = __gen_canon_log(__rd, 
>> >__R);
>> >+        // __rd is power of two, and __R is not so __floor_pow is never
>> >+        // equal to __rd, and l == k - 1
>> >+        _GLIBCXX_GEN_CANON_CONST unsigned __l = __logRrd.__floor_log;
>> >+        _GLIBCXX_GEN_CANON_CONST _UInt __Rl = __logRrd.__floor_pow;
>> >+
>> >+        // __abits is maximum bit width of the value, that can
>> >+        // be multiplied by R^l without overflowing 128 bit integer
>> >+        // TODO: use bit_width(_Rl)
>> >+        _GLIBCXX_GEN_CANON_CONST unsigned __bwRl = (__log2R + 1) * __l;
>> >+        // For __R close to power of two, the actual __k may be smaller 
>> >than __m,
>> >+        // and will use less than 128bits.
>> >+        _GLIBCXX_GEN_CANON_CONST unsigned __abits = __bwRl > 64 ? 128 - 
>> >__bwRl : 64;
>> >+        _GLIBCXX_GEN_CANON_CONST _UInt64 __amask
>> >+           = (__abits == 64) ? ~_UInt64(0) : (_UInt64(1) << __abits) - 1;
>> >+
>> >+        // Compute __x = _Rk / __rd (_Rk >> __d), by spliting _R into 
>> >chunks
>> >+        // (_pR) of __abits, so their multiplication does not overflow 128 
>> >bits.
>> >+        // __x fits in 64bits, becuse __R^l < __rd < __R^k, thus __x < _R
>> >+        _UInt64 __x(0), __pR(__R); _UInt __pRk(0);
>> >+        for (unsigned __shift = __d; __pR; __shift -= __abits)
>> >+          {
>> >+            __pRk += __Rl * (__pR & __amask);
>> >+            __pR >>= __abits;
>> >+
>> >+            _UInt __xp(__pRk >> __shift);
>> >+            __x += _UInt64(__xp);
>> >+            __pRk -= (__xp << __shift);
>> >+            __pRk >>= __abits;
>> >+          }
>> >+
>> >+        while (true)
>> >+          {
>> >+            // Compute sum of __urng() * R^i for i in range [0, l).
>> >+            // The values is smaller than R^l which is smaller than
>>
>> "value"
>>
>> >+            // __rd so fits into 128 bit integer.
>> >+            _UInt __Ri{1};
>> >+            _UInt __lsum(__urng() - _Urbg::min());
>> >+            for (int __i = __l - 1; __i > 0; --__i)
>> >+              {
>> >+                __Ri *= _UInt64(__R);
>> >+                __lsum += __Ri * _UInt64(__urng() - _Urbg::min());
>> >+              }
>> >+
>> >+            // The last iteration __urng() * R^k may overflow 128bit
>> >+            // integer. We use the fact that we reject __sum / __x >= __rd,
>> >+            // and split __urng() value into chunks of __abits, so their
>> >+            // products with R^l does not overflow 128bit. These product
>>
>> "products"
>>
>> >+            // are then multiplied by 2^__shift, scaled by __x and added 
>> >into
>> >+            // the __sumx, until they value is smaller than remaining value
>>
>> "the value" or "their value"?
>>
>> >+            // __rem [(__rd - __sumx) * 2^__shift], or whole value was
>> >+            // multiplied (__kth is zero). The reminder of division by
>>
>> "remainder"
>>
>> >+            // __x are accumulated into __modx value, and handled later.
>> >+            // In consequence this guarantees that __sumx never exceeded
>>
>> "exceeds"
>>
>> >+            // __rd value, and thus does not overflow 128 bit integer.
>> >+            _UInt __sumx = __lsum / __x, __modx = __lsum % __x;
>> >+            _UInt __remx = __rd - __sumx;
>> >+            _UInt64 __kth(__urng() - _Urbg::min());
>> >+            for (unsigned __shift = 0; __kth; __shift += __abits)
>> >+              {
>> >+                const _UInt __val = __Rl * (__kth & __amask);
>> >+                const _UInt __valx = __val / __x;
>> >+                if (__valx > __remx)
>> >+                  break;
>> >+                __kth >>= __abits;
>> >+
>> >+                __sumx += (__valx << __shift);
>> >+                __modx += ((__val % __x) << __shift);
>> >+
>> >+                __remx -= __valx;
>> >+                __remx >>= __abits;
>> >+              }
>> >+            if (__kth) // __sum / __x > _rd after adding __kth iteration
>> >+              continue;
>> >+
>> >+            // Handle accumulated reminders
>>
>> "remainders"
>>
>> >+            const _UInt __valx = __modx / __x;
>> >+            if (__valx > __rd - __sumx) // avoids overflow
>> >+              continue;
>> >+
>> >+            __sumx += __valx;
>> >+            const _RealT __ret = _RealT(__sumx) / _RealT(__rd);
>> >+            if (__ret < _RealT(1.0))
>> >+              return __ret;
>> >+          }
>> >+        }
>> >+#undef _GLIBCXX_GEN_CANON_CONST
>> >     }
>> >
>> > #if !defined(_GLIBCXX_GENERATE_CANONICAL_STRICT)
>> >diff --git 
>> >a/libstdc++-v3/testsuite/26_numerics/random/uniform_real_distribution/operators/gencanon.cc
>> > 
>> >b/libstdc++-v3/testsuite/26_numerics/random/uniform_real_distribution/operators/gencanon.cc
>> >index ae93ec13b7a..4da53e9d4f2 100644
>> >--- 
>> >a/libstdc++-v3/testsuite/26_numerics/random/uniform_real_distribution/operators/gencanon.cc
>> >+++ 
>> >b/libstdc++-v3/testsuite/26_numerics/random/uniform_real_distribution/operators/gencanon.cc
>> >@@ -234,6 +234,98 @@ test_2p31m1(const std::mt19937& rng)
>> >   }
>> > }
>> >
>> >+template<std::uint64_t Max, typename Under = std::mt19937_64>
>> >+struct trimmed_engine
>> >+{
>> >+  using result_type = std::uint64_t;
>> >+
>> >+  static constexpr
>> >+  result_type min()
>> >+  { return result_type(0); }
>> >+
>> >+  static constexpr
>> >+  result_type max()
>> >+  { return result_type(Max); }
>> >+
>> >+  trimmed_engine() : dist(min(), max())
>> >+  {}
>> >+
>> >+  trimmed_engine(const Under& gen)
>> >+  : under(gen), dist(min(), max())
>> >+  {}
>> >+
>> >+  result_type operator()()
>> >+  { return dist(under); }
>> >+
>> >+  void discard(std::size_t n)
>> >+  {
>> >+    for (size_t i = 0; i < n; ++i)
>> >+      (void)dist(under);
>> >+  }
>> >+
>> >+  friend bool
>> >+  operator==(const trimmed_engine& lhs, const trimmed_engine& rhs)
>> >+  { return lhs.under == rhs.under; }
>> >+
>> >+private:
>> >+  Under under;
>> >+  std::uniform_int_distribution<result_type> dist;
>> >+};
>> >+
>> >+// Uses a generate that emits range of size 2^55+2.
>>
>> "generator"
>>
>> >+// To produce 128bit IEE float, we need 3 calls to above generator, that 
>> >can
>> >+// produce value that have 155 bits, and uses separate path.
>> >+template <typename T>
>> >+void
>> >+test_2p55p1(const std::mt19937& rng)
>> >+{
>> >+  if (!std::numeric_limits<T>::is_iec559)
>> >+    return;
>> >+
>> >+  constexpr size_t mantissa = std::numeric_limits<T>::digits;
>> >+  constexpr size_t call_per_elem = (mantissa / 55) + 1;
>> >+  const trimmed_engine<(1ULL << 55) + 1ULL, std::mt19937> lrng{rng};
>> >+
>> >+  int deviation = 0, max = 0, rms = 0, zeros = 0;
>> >+  int skips = run_generator<T, -1u, call_per_elem, 1u>
>> >+              (lrng, deviation, max, rms, zeros);
>> >+
>> >+  switch (mantissa)
>> >+  {
>> >+  case 24: // ieee32
>> >+    VERIFY(skips == 0);
>> >+    VERIFY(deviation == 7682);
>> >+    VERIFY(max == 295);
>> >+    VERIFY(rms == 971);
>> >+    VERIFY(zeros == 0);
>> >+    break;
>> >+  case 53: // ieee64
>> >+    VERIFY(skips == 0);
>> >+    VERIFY(deviation == 7682);
>> >+    VERIFY(max == 295);
>> >+    VERIFY(rms == 971);
>> >+    VERIFY(zeros == 0);
>> >+    break;
>> >+  case 64: // ieee80
>> >+    VERIFY(skips == 0);
>> >+    VERIFY(deviation == 6788);
>> >+    VERIFY(max == 248);
>> >+    VERIFY(rms == 854);
>> >+    VERIFY(zeros == 0);
>> >+    break;
>> >+  case 113: // ieee128
>> >+    VERIFY(skips == 0);
>> >+    VERIFY(deviation == 8222);
>> >+    VERIFY(max == 257);
>> >+    VERIFY(rms == 999);
>> >+    VERIFY(zeros == 0);
>> >+    break;
>> >+  default:
>> >+    VERIFY(false);
>> >+    break;
>> >+  }
>> >+}
>> >+
>> > int main()
>> > {
>> >   std::mt19937 rng(8890);
>> >@@ -244,20 +336,24 @@ int main()
>> >   test_2p32<float>(rng);
>> >   test_10p6<float>(rng);
>> >   test_2p31m1<float>(rng);
>> >+  test_2p55p1<float>(rng);
>> >
>> >   test_2p32<double>(rng);
>> >   test_10p6<double>(rng);
>> >   test_2p31m1<double>(rng);
>> >+  test_2p55p1<double>(rng);
>> >
>> >   test_2p32<long double>(rng);
>> >   test_10p6<long double>(rng);
>> >   test_2p31m1<long double>(rng);
>> >+  test_2p55p1<long double>(rng);
>> >
>> > #ifndef _GLIBCXX_GENERATE_CANONICAL_STRICT
>> > #  ifdef __SIZEOF_FLOAT128__
>> >   test_2p32<__float128>(rng);
>> >   test_10p6<__float128>(rng);
>> >   test_2p31m1<__float128>(rng);
>> >+  test_2p55p1<__float128>(rng);
>> > #  endif
>> > #endif
>> > }
>> >diff --git 
>> >a/libstdc++-v3/testsuite/26_numerics/random/uniform_real_distribution/operators/gencanon_eng.cc
>> > 
>> >b/libstdc++-v3/testsuite/26_numerics/random/uniform_real_distribution/operators/gencanon_eng.cc
>> >index 662e3568a30..f586ebc7d17 100644
>> >--- 
>> >a/libstdc++-v3/testsuite/26_numerics/random/uniform_real_distribution/operators/gencanon_eng.cc
>> >+++ 
>> >b/libstdc++-v3/testsuite/26_numerics/random/uniform_real_distribution/operators/gencanon_eng.cc
>> >@@ -10,6 +10,40 @@ test_engine()
>> >   (void)std::generate_canonical<_Real, size_t(-1)>(__engine);
>> > }
>> >
>> >+template<std::uint64_t Max, typename Under = std::mt19937_64>
>> >+struct trimmed_engine
>> >+{
>> >+  using result_type = std::uint64_t;
>> >+
>> >+  static constexpr
>> >+  result_type min()
>> >+  { return result_type(0); }
>> >+
>> >+  static constexpr
>> >+  result_type max()
>> >+  { return result_type(Max); }
>> >+
>> >+  trimmed_engine() : dist(min(), max())
>> >+  {}
>> >+
>> >+  result_type operator()()
>> >+  { return dist(under); }
>> >+
>> >+private:
>> >+  Under under;
>> >+  std::uniform_int_distribution<result_type> dist;
>> >+};
>> >+
>> >+template<typename Real, size_t Bits>
>> >+void
>> >+test_bits()
>> >+{
>> >+  trimmed_engine<(std::uint64_t(1) << Bits) - 1> pow2_engine;
>> >+  (void)std::generate_canonical<Real, -1u>(pow2_engine);
>> >+  trimmed_engine<(std::uint64_t(1) << Bits) - 2> non_pow2_engine;
>> >+  (void)std::generate_canonical<Real, -1u>(non_pow2_engine);
>> >+}
>> >+
>> > template<typename _Real>
>> > void
>> > test_all_engines()
>> >@@ -29,6 +63,35 @@ test_all_engines()
>> >   test_engine<_Real, std::philox4x32>();
>> >   test_engine<_Real, std::philox4x64>();
>> > #endif
>> >+
>> >+  // For 128bit floating points, generator emitting a range, which size is
>> >+  // not power of two, but of width of B bits, such that for any N:
>> >+  // N * B < 113 (bits in ieee128)
>> >+  // (N+1) * B > 128
>> >+  // use >128bits patch, as they would otherwise require integer with more
>> >+  // than 128 bits.
>> >+  // N == 3: B in [43, 57)
>> >+  test_bits<_Real, 42>(); // 3 calls
>> >+  test_bits<_Real, 43>(); // 3 calls, >128bits path
>> >+  test_bits<_Real, 56>(); // 3 calls, >128bits path
>> >+  test_bits<_Real, 57>(); // 2 calls
>> >+
>> >+  // N == 4: B in [33, 38)
>> >+  test_bits<_Real, 32>(); // 4 calls
>> >+  test_bits<_Real, 33>(); // 4 calls, >128bits path
>> >+  test_bits<_Real, 37>(); // 4 calls, >128bits path
>> >+  test_bits<_Real, 38>(); // 3 calls
>> >+
>> >+  // N == 5: B in [26, 29)
>> >+  test_bits<_Real, 25>(); // 5 calls
>> >+  test_bits<_Real, 26>(); // 5 calls, >128bits path
>> >+  test_bits<_Real, 28>(); // 5 calls, >128bits path
>> >+  test_bits<_Real, 29>(); // 4 calls
>> >+
>> >+  // N == 6: B == 22
>> >+  test_bits<_Real, 21>(); // 6 calls
>> >+  test_bits<_Real, 22>(); // 6 calls, >128bits path
>> >+  test_bits<_Real, 23>(); // 5 calls
>> > }
>> >
>> > int main()
>> >diff --git 
>> >a/libstdc++-v3/testsuite/26_numerics/random/uniform_real_distribution/operators/gencanon_eng_neg.cc
>> > 
>> >b/libstdc++-v3/testsuite/26_numerics/random/uniform_real_distribution/operators/gencanon_eng_neg.cc
>> >deleted file mode 100644
>> >index e3b4540bf2b..00000000000
>> >--- 
>> >a/libstdc++-v3/testsuite/26_numerics/random/uniform_real_distribution/operators/gencanon_eng_neg.cc
>> >+++ /dev/null
>> >@@ -1,89 +0,0 @@
>> >-// { dg-do compile { target { c++11 } } }
>> >-// { dg-require-effective-target __float128 }
>> >-// { dg-require-effective-target base_quadfloat_support }
>> >-// { dg-add-options __float128 }
>> >-
>> >-#include <random>
>> >-#include <cstdint>
>> >-
>> >-template<std::uint64_t Max, typename Under = std::mt19937_64>
>> >-struct trimmed_engine
>> >-{
>> >-  using result_type = std::uint64_t;
>> >-
>> >-  static constexpr
>> >-  result_type min()
>> >-  { return result_type(0); }
>> >-
>> >-  static constexpr
>> >-  result_type max()
>> >-  { return result_type(Max); }
>> >-
>> >-  trimmed_engine() : dist(min(), max())
>> >-  {}
>> >-
>> >-  result_type operator()()
>> >-  { return dist(under); }
>> >-
>> >-private:
>> >-  Under under;
>> >-  std::uniform_int_distribution<result_type> dist;
>> >-};
>> >-
>> >-template<typename Real, size_t Bits>
>> >-void
>> >-test_non_pow2()
>> >-{
>> >-  trimmed_engine<(std::uint64_t(1) << Bits) - 2> non_pow2_engine;
>> >-  (void)std::generate_canonical<Real, -1u>(non_pow2_engine);
>> >-}
>> >-
>> >-template<typename Real, size_t Bits>
>> >-void
>> >-test_pow2()
>> >-{
>> >-  trimmed_engine<(std::uint64_t(1) << Bits) - 1> pow2_engine;
>> >-  (void)std::generate_canonical<Real, -1u>(pow2_engine);
>> >-}
>> >-
>> >-int main()
>> >-{
>> >-  // For 128bit floating points, generator emitting a range, which size is
>> >-  // not power of two, but of width of B bits, such that for any N:
>> >-  // N * B < 113 (bits in ieee128)
>> >-  // (N+1) * B > 128
>> >-  // are not supported, as they would require integer with more than 127 
>> >bits.
>> >-
>> >-  // N == 3: B in [43, 57)
>> >-  test_non_pow2<__float128, 42>(); // 3 calls
>> >-  test_non_pow2<__float128, 43>(); // { dg-error "from here" }
>> >-  test_non_pow2<__float128, 56>(); // { dg-error "from here" }
>> >-  test_non_pow2<__float128, 57>(); // 2 calls
>> >-  test_pow2<__float128, 43>();
>> >-  test_pow2<__float128, 56>();
>> >-
>> >-  // N == 4: B in [33, 38)
>> >-  test_non_pow2<__float128, 32>(); // 4 calls
>> >-  test_non_pow2<__float128, 33>(); // { dg-error "from here" }
>> >-  test_non_pow2<__float128, 37>(); // { dg-error "from here" }
>> >-  test_non_pow2<__float128, 38>(); // 3 calls
>> >-  test_pow2<__float128, 33>();
>> >-  test_pow2<__float128, 37>();
>> >-
>> >-  // N == 5: B in [26, 29)
>> >-  test_non_pow2<__float128, 25>(); // 5 calls
>> >-  test_non_pow2<__float128, 26>(); // { dg-error "from here" }
>> >-  test_non_pow2<__float128, 28>(); // { dg-error "from here" }
>> >-  test_non_pow2<__float128, 29>(); // 4 calls
>> >-  test_pow2<__float128, 26>();
>> >-  test_pow2<__float128, 28>();
>> >-
>> >-  // N == 6: B == 22
>> >-  test_non_pow2<__float128, 21>(); // 6 calls
>> >-  test_non_pow2<__float128, 22>(); // { dg-error "from here" }
>> >-  test_non_pow2<__float128, 23>(); // 5 calls
>> >-  test_pow2<__float128, 22>();
>> >-}
>> >-
>> >-// { dg-prune-output "no type named 'type' in 'struct 
>> >std::__detail::_Select_uint_least_t" }
>> >-// { dg-prune-output "static assertion failed: sorry, would be too much 
>> >trouble for a slow result" }
>> >--
>> >2.54.0
>> >
>> >
>>

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