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authorpaolo <paolo@138bc75d-0d04-0410-961f-82ee72b054a4>2006-06-05 07:33:18 +0000
committerpaolo <paolo@138bc75d-0d04-0410-961f-82ee72b054a4>2006-06-05 07:33:18 +0000
commitb0765c8c35d7871ae9fb67f2959e3d019793ad3d (patch)
tree71961b684483462b55c7cd99d08389739a5e2c7c /libstdc++-v3/include/tr1/random.tcc
parentac4d57eb1f020503cd4f4f1bc2a210fc10c924b3 (diff)
downloadgcc-b0765c8c35d7871ae9fb67f2959e3d019793ad3d.tar.gz
2006-06-05 Paolo Carlini <pcarlini@suse.de>
* include/tr1/random.tcc (Max::value()): Cast 1 to Tp(1) and adjust shift count to w; rename as Max_w. (struct Mod_w): New. (mersenne_twister<>::seed(Gen&, false_type): Use the latter. (mersenne_twister<>::operator()()): Fix ~0ul to ~_UInt(). * testsuite/tr1/5_numerical_facilies/random/mersenne_twister/ cons/default.cc: Fix ~0ul to 2^32-1. * testsuite/tr1/5_numerical_facilies/random/mersenne_twister/ cons/gen1.cc: Likewise. 2006-06-05 Stephen M. Webb <stephen.webb@bregmasoft.com> * include/tr1/random: New. * include/tr1/random.tcc: Likewise. * include/Makefile.am: Add. * testsuite/tr1/5_numerical_facilies/random/ranlux3.cc: New. * testsuite/tr1/5_numerical_facilies/random/ranlux4.cc: Likewise. * testsuite/tr1/5_numerical_facilies/random/mt19937.cc: Likewise. * testsuite/tr1/5_numerical_facilies/random/variate_generator/ requirements/typedefs.cc: Likewise. * testsuite/tr1/5_numerical_facilies/random/subtract_with_carry/ cons/seed1.cc: Likewise. * testsuite/tr1/5_numerical_facilies/random/subtract_with_carry/ cons/seed2.cc: Likewise. * testsuite/tr1/5_numerical_facilies/random/subtract_with_carry/ cons/default.cc: Likewise. * testsuite/tr1/5_numerical_facilies/random/subtract_with_carry/ cons/gen1.cc: Likewise. * testsuite/tr1/5_numerical_facilies/random/subtract_with_carry/ requirements/typedefs.cc: Likewise. * testsuite/tr1/5_numerical_facilies/random/subtract_with_carry/ operators/equal.cc: Likewise. * testsuite/tr1/5_numerical_facilies/random/subtract_with_carry/ operators/not_equal.cc: Likewise. * testsuite/tr1/5_numerical_facilies/random/subtract_with_carry/ operators/serialize.cc: Likewise. * testsuite/tr1/5_numerical_facilies/random/uniform_real/ requirements/typedefs.cc: Likewise. * testsuite/tr1/5_numerical_facilies/random/discard_block/ requirements/requirements.cc: Likewise. * testsuite/tr1/5_numerical_facilies/random/linear_congruential/ cons/seed1.cc: Likewise. * testsuite/tr1/5_numerical_facilies/random/linear_congruential/ cons/seed2.cc: Likewise. * testsuite/tr1/5_numerical_facilies/random/linear_congruential/ cons/default.cc: Likewise. * testsuite/tr1/5_numerical_facilies/random/linear_congruential/ cons/gen1.cc: Likewise. * testsuite/tr1/5_numerical_facilies/random/linear_congruential/ requirements/non_uint_neg.cc: Likewise. * testsuite/tr1/5_numerical_facilies/random/linear_congruential/ requirements/typedefs.cc: Likewise. * testsuite/tr1/5_numerical_facilies/random/linear_congruential/ operators/equal.cc: Likewise. * testsuite/tr1/5_numerical_facilies/random/linear_congruential/ operators/not_equal.cc: Likewise. * testsuite/tr1/5_numerical_facilies/random/linear_congruential/ operators/serialize.cc: Likewise. * testsuite/tr1/5_numerical_facilies/random/xor_combine/ requirements/typedefs.cc: Likewise. * testsuite/tr1/5_numerical_facilies/random/minstd_rand.cc: Likewise. * testsuite/tr1/5_numerical_facilies/random/minstd_rand0.cc: Likewise. * testsuite/tr1/5_numerical_facilies/random/uniform_int/ cons/range.cc: Likewise. * testsuite/tr1/5_numerical_facilies/random/uniform_int/ cons/default.cc: Likewise. * testsuite/tr1/5_numerical_facilies/random/uniform_int/ cons/range_neg.cc: Likewise. * testsuite/tr1/5_numerical_facilies/random/uniform_int/ requirements/typedefs.cc: Likewise. * testsuite/tr1/5_numerical_facilies/random/mersenne_twister/ cons/seed1.cc: Likewise. * testsuite/tr1/5_numerical_facilies/random/mersenne_twister/ cons/seed2.cc: Likewise. * testsuite/tr1/5_numerical_facilies/random/mersenne_twister/ cons/default.cc: Likewise. * testsuite/tr1/5_numerical_facilies/random/mersenne_twister/ cons/gen1.cc: Likewise. * testsuite/tr1/5_numerical_facilies/random/mersenne_twister/ requirements/typedefs.cc: Likewise. * include/Makefile.in: Regenerate. * testsuite/tr1/headers.cc: Update. git-svn-id: svn+ssh://gcc.gnu.org/svn/gcc/trunk@114384 138bc75d-0d04-0410-961f-82ee72b054a4
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+// random number generation (out of line) -*- C++ -*-
+
+// Copyright (C) 2006 Free Software Foundation, Inc.
+//
+// This file is part of the GNU ISO C++ Library. This library is free
+// software; you can redistribute it and/or modify it under the
+// terms of the GNU General Public License as published by the
+// Free Software Foundation; either version 2, or (at your option)
+// any later version.
+
+// This library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU General Public License for more details.
+
+// You should have received a copy of the GNU General Public License along
+// with this library; see the file COPYING. If not, write to the Free
+// Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301,
+// USA.
+
+// As a special exception, you may use this file as part of a free software
+// library without restriction. Specifically, if other files instantiate
+// templates or use macros or inline functions from this file, or you compile
+// this file and link it with other files to produce an executable, this
+// file does not by itself cause the resulting executable to be covered by
+// the GNU General Public License. This exception does not however
+// invalidate any other reasons why the executable file might be covered by
+// the GNU General Public License.
+
+#include <limits>
+
+namespace std
+{
+_GLIBCXX_BEGIN_NAMESPACE(tr1)
+
+ /*
+ * Implementation-space details.
+ */
+ namespace _Private
+ {
+ // General case for x = (ax + c) mod m -- use Schrage's algorithm to avoid
+ // integer overflow.
+ //
+ // Because a and c are compile-time integral constants the compiler kindly
+ // elides any unreachable paths.
+ //
+ // Preconditions: a > 0, m > 0.
+ //
+ template<typename _Tp, _Tp a, _Tp c, _Tp m, bool _m_is_zero>
+ struct Mod
+ {
+ static _Tp
+ calc(_Tp x)
+ {
+ if (a == 1)
+ x %= m;
+ else
+ {
+ static const _Tp q = m / a;
+ static const _Tp r = m % a;
+
+ _Tp t1 = a * (x % q);
+ _Tp t2 = r * (x / q);
+ if (t1 >= t2)
+ x = t1 - t2;
+ else
+ x = m - t2 + t1;
+ }
+
+ if (c != 0)
+ {
+ const _Tp d = m - x;
+ if (d > c)
+ x += c;
+ else
+ x = c - d;
+ }
+ return x;
+ }
+ };
+
+ // Special case for m==0 -- use unsigned integer overflow as modulo
+ // operator.
+ template<typename _Tp, _Tp a, _Tp c, _Tp m>
+ struct Mod<_Tp, a, c, m, true>
+ {
+ static _Tp
+ calc(_Tp x)
+ { return a * x + c; }
+ };
+
+ // Dispatch based on modulus value to prevent divide-by-zero compile-time
+ // errors when m == 0.
+ template<typename _Tp, _Tp a, _Tp c, _Tp m>
+ inline _Tp
+ mod(_Tp x)
+ { return Mod<_Tp, a, c, m, m == 0>::calc(x); }
+
+ // Like the above, for a==1, c==0, in terms of w.
+ template<typename _Tp, _Tp w, bool>
+ struct Mod_w
+ {
+ static _Tp
+ calc(_Tp x)
+ { return x % (_Tp(1) << w); }
+ };
+
+ template<typename _Tp, _Tp w>
+ struct Mod_w<_Tp, w, true>
+ {
+ static _Tp
+ calc(_Tp x)
+ { return x; }
+ };
+
+ // Selector to return the maximum value possible that will fit in
+ // @p w bits of @p _Tp.
+ template<typename _Tp, _Tp w, bool>
+ struct Max_w
+ {
+ static _Tp
+ value()
+ { return (_Tp(1) << w) - 1; }
+ };
+
+ template<typename _Tp, _Tp w>
+ struct Max_w<_Tp, w, true>
+ {
+ static _Tp
+ value()
+ { return std::numeric_limits<_Tp>::max(); }
+ };
+
+ } // namespace _Private
+
+
+ /**
+ * Constructs the LCR engine with integral seed @p x0.
+ */
+ template<class UIntType, UIntType a, UIntType c, UIntType m>
+ linear_congruential<UIntType, a, c, m>::
+ linear_congruential(unsigned long x0)
+ { this->seed(x0); }
+
+ /**
+ * Constructs the LCR engine with seed generated from @p g.
+ */
+ template<class UIntType, UIntType a, UIntType c, UIntType m>
+ template<class Gen>
+ linear_congruential<UIntType, a, c, m>::
+ linear_congruential(Gen& g)
+ { this->seed(g); }
+
+ /**
+ * Seeds the LCR with integral value @p x0, adjusted so that the
+ * ring identity is never a member of the convergence set.
+ */
+ template<class UIntType, UIntType a, UIntType c, UIntType m>
+ void
+ linear_congruential<UIntType, a, c, m>::
+ seed(unsigned long x0)
+ {
+ if ((_Private::mod<UIntType, 1, 0, m>(c) == 0)
+ && (_Private::mod<UIntType, 1, 0, m>(x0) == 0))
+ m_x = _Private::mod<UIntType, 1, 0, m>(1);
+ else
+ m_x = _Private::mod<UIntType, 1, 0, m>(x0);
+ }
+
+ /**
+ * Seeds the LCR engine with a value generated by @p g.
+ */
+ template<class UIntType, UIntType a, UIntType c, UIntType m>
+ template<class Gen>
+ void
+ linear_congruential<UIntType, a, c, m>::
+ seed(Gen& g, false_type)
+ {
+ UIntType x0 = g();
+ if ((_Private::mod<UIntType, 1, 0, m>(c) == 0)
+ && (_Private::mod<UIntType, 1, 0, m>(x0) == 0))
+ m_x = _Private::mod<UIntType, 1, 0, m>(1);
+ else
+ m_x = _Private::mod<UIntType, 1, 0, m>(x0);
+ }
+
+ /**
+ * Returns a value that is less than or equal to all values potentially
+ * returned by operator(). The return value of this function does not
+ * change during the lifetime of the object..
+ *
+ * The minumum depends on the @p c parameter: if it is zero, the
+ * minimum generated must be > 0, otherwise 0 is allowed.
+ */
+ template<class UIntType, UIntType a, UIntType c, UIntType m>
+ typename linear_congruential<UIntType, a, c, m>::result_type
+ linear_congruential<UIntType, a, c, m>::
+ min() const
+ { return (_Private::mod<UIntType, 1, 0, m>(c) == 0) ? 1 : 0; }
+
+ /**
+ * Gets the maximum possible value of the generated range.
+ *
+ * For a linear congruential generator, the maximum is always @p m - 1.
+ */
+ template<class UIntType, UIntType a, UIntType c, UIntType m>
+ typename linear_congruential<UIntType, a, c, m>::result_type
+ linear_congruential<UIntType, a, c, m>::
+ max() const
+ { return (m == 0) ? std::numeric_limits<UIntType>::max() : (m - 1); }
+
+ /**
+ * Gets the next generated value in sequence.
+ */
+ template<class UIntType, UIntType a, UIntType c, UIntType m>
+ typename linear_congruential<UIntType, a, c, m>::result_type
+ linear_congruential<UIntType, a, c, m>::
+ operator()()
+ {
+ m_x = _Private::mod<UIntType, a, c, m>(m_x);
+ return m_x;
+ }
+
+
+ template<class _UInt, int w, int n, int m, int r,
+ _UInt a, int u, int s,
+ _UInt b, int t, _UInt c, int l>
+ void
+ mersenne_twister<_UInt, w, n, m, r, a, u, s, b, t, c, l>::
+ seed(unsigned long value)
+ {
+ if (value == 0)
+ value = 4357;
+
+#if 0
+ // @todo handle case numeric_limits<_UInt>::digits > 32
+ if (std::numeric_limits<_UInt>::digits > 32)
+ {
+ std::tr1::linear_congruential<unsigned long, 69069, 0, 2**32> lcg(value);
+ seed(lcg);
+ }
+ else
+ {
+ std::tr1::linear_congruential<unsigned long, 69069, 0, 0> lcg(value);
+ seed(lcg);
+ }
+#else
+ std::tr1::linear_congruential<unsigned long, 69069, 0, 0> lcg(value);
+ seed(lcg);
+#endif
+ }
+
+
+ template<class _UInt, int w, int n, int m, int r,
+ _UInt a, int u, int s,
+ _UInt b, int t, _UInt c, int l>
+ template<class Gen>
+ void
+ mersenne_twister<_UInt, w, n, m, r, a, u, s, b, t, c, l>::
+ seed(Gen& gen, false_type)
+ {
+ using _Private::Mod_w;
+ using std::numeric_limits;
+
+ for (int i = 0; i < state_size; ++i)
+ _M_x[i] = Mod_w<_UInt, w,
+ w == numeric_limits<_UInt>::digits>::calc(gen());
+ _M_p = state_size + 1;
+ }
+
+ template<class _UInt, int w, int n, int m, int r,
+ _UInt a, int u, int s,
+ _UInt b, int t, _UInt c, int l>
+ typename
+ mersenne_twister<_UInt, w, n, m, r, a, u, s, b, t, c, l>::result_type
+ mersenne_twister<_UInt, w, n, m, r, a, u, s, b, t, c, l>::
+ max() const
+ {
+ using _Private::Max_w;
+ using std::numeric_limits;
+ return Max_w<_UInt, w, w == numeric_limits<_UInt>::digits>::value();
+ }
+
+
+ template<class _UInt, int w, int n, int m, int r,
+ _UInt a, int u, int s,
+ _UInt b, int t, _UInt c, int l>
+ typename
+ mersenne_twister<_UInt, w, n, m, r, a, u, s, b, t, c, l>::result_type
+ mersenne_twister<_UInt, w, n, m, r, a, u, s, b, t, c, l>::
+ operator()()
+ {
+ // reload the vector - cost is O(n) amortized over n calls.
+ if (_M_p >= state_size)
+ {
+ const _UInt upper_mask = (~_UInt()) << r;
+ const _UInt lower_mask = ~upper_mask;
+
+ for (int k = 0; k < (n - m); ++k)
+ {
+ _UInt y = (_M_x[k] & upper_mask) | (_M_x[k + 1] & lower_mask);
+ _M_x[k] = _M_x[k + m] ^ (y >> 1) ^ ((y & 0x01) ? a : 0);
+ }
+
+ for (int k = (n - m); k < (n - 1); ++k)
+ {
+ _UInt y = (_M_x[k] & upper_mask) | (_M_x[k + 1] & lower_mask);
+ _M_x[k] = _M_x[k + (m - n)] ^ (y >> 1) ^ ((y & 0x01) ? a : 0);
+ }
+
+ _M_p = 0;
+ }
+
+ // Calculate x(i)
+ result_type y = _M_x[_M_p++];
+ y ^= (y >> u);
+ y ^= (y << s) & b;
+ y ^= (y << t) & c;
+ y ^= (y >> l);
+
+ return y;
+ }
+
+
+ template<typename _IntType, _IntType m, int s, int r>
+ void
+ subtract_with_carry<_IntType, m, s, r>::
+ seed(_IntType __value)
+ {
+ std::tr1::linear_congruential<unsigned long, 40014, 0, 2147483563>
+ lcg(__value);
+
+ for (int i = 0; i < long_lag; ++i)
+ _M_x[i] = _Private::mod<_IntType, 1, 0, modulus>(lcg());
+
+ _M_carry = (_M_x[long_lag - 1] == 0) ? 1 : 0;
+ _M_p = 0;
+ }
+
+
+ //
+ // This implementation differs from the tr1 spec because the tr1 spec refused
+ // to make any sense to me: the exponent of the factor in the spec goes from
+ // 1 to (n-1), but it would only make sense to me if it went from 0 to (n-1).
+ //
+ // This algorithm is still problematic because it can overflow left right and
+ // center.
+ //
+ template<typename _IntType, _IntType __m, int __s, int __r>
+ template<class Gen>
+ void
+ subtract_with_carry<_IntType, __m, __s, __r>::
+ seed(Gen& gen, false_type)
+ {
+ const int n = (std::numeric_limits<_IntType>::digits + 31) / 32;
+ for (int i = 0; i < long_lag; ++i)
+ {
+ _M_x[i] = 0;
+ unsigned long factor = 1;
+ for (int j = 0; j < n; ++j)
+ {
+ _M_x[i] += gen() * factor;
+ factor *= 0x80000000;
+ }
+ _M_x[i] = _Private::mod<_IntType, 1, 0, modulus>(_M_x[i]);
+ }
+ _M_carry = (_M_x[long_lag - 1] == 0) ? 1 : 0;
+ _M_p = 0;
+ }
+
+
+ template<typename _IntType, _IntType __m, int __s, int __r>
+ typename subtract_with_carry<_IntType, __m, __s, __r>::result_type
+ subtract_with_carry<_IntType, __m, __s, __r>::
+ operator()()
+ {
+ // derive short lag index from current index
+ int ps = _M_p - short_lag;
+ if (ps < 0) ps += long_lag;
+
+ // calculate new x(i) without overflow or division
+ _IntType xi;
+ if (_M_x[ps] >= _M_x[_M_p] + _M_carry)
+ {
+ xi = _M_x[ps] - _M_x[_M_p] - _M_carry;
+ _M_carry = 0;
+ }
+ else
+ {
+ xi = modulus - _M_x[_M_p] - _M_carry + _M_x[ps];
+ _M_carry = 1;
+ }
+ _M_x[_M_p++] = xi;
+
+ // adjust current index to loop around in ring buffer
+ if (_M_p >= long_lag)
+ _M_p = 0;
+
+ return xi;
+ }
+
+
+ template<class _E, int __p, int __r>
+ typename discard_block<_E, __p, __r>::result_type
+ discard_block<_E, __p, __r>::
+ operator()()
+ {
+ if (_M_n >= used_block)
+ {
+ while (_M_n < block_size)
+ {
+ _M_b();
+ ++_M_n;
+ }
+ _M_n = 0;
+ }
+ ++_M_n;
+ return _M_b();
+ }
+
+_GLIBCXX_END_NAMESPACE
+}