Hi,

this does fix a bad thinko of mine in negative_binomial_distribution (the fix will certainly go in 4.6.1, unless Jakub wants it now) + I'm adding basic statistical tests (adapted from GSL) for all the other discrete distributions.

Thanks,
Paolo.

//////////////
2011-03-24  Paolo Carlini  <paolo.carl...@oracle.com>

        * include/bits/random.h (negative_binomial_distribution<>::
        negative_binomial_distribution(_IntType, double),
        negative_binomial_distribution<>::
        negative_binomial_distribution(const param_type&)): Fix
        construction of _M_gd.
        * include/bits/random.tcc (negative_binomial_distribution<>::
        operator()): Fix computation, per Leger's algorithm.
        * testsuite/util/testsuite_random.h (discrete_pdf,
        negative_binomial_pdf, poisson_pdf, uniform_int_pdf): New.
        (binomial_pdf): Swap last two parameters.
        * testsuite/26_numerics/random/discrete_distribution/
        operators/values.cc: New.
        * testsuite/26_numerics/random/negative_binomial_distribution/
        operators/values.cc: Likewise.
        * testsuite/26_numerics/random/poisson_distribution/
        operators/values.cc: Likewise.
        * testsuite/26_numerics/random/uniform_int_distribution/
        operators/values.cc: Likewise.
        * testsuite/26_numerics/random/binomial_distribution/
        operators/values.cc: Adjust.
Index: include/bits/random.tcc
===================================================================
--- include/bits/random.tcc     (revision 171401)
+++ include/bits/random.tcc     (working copy)
@@ -1075,7 +1075,7 @@
       return __is;
     }
 
-
+  // This is Leger's algorithm.
   template<typename _IntType>
     template<typename _UniformRandomNumberGenerator>
       typename negative_binomial_distribution<_IntType>::result_type
@@ -1085,7 +1085,8 @@
        const double __y = _M_gd(__urng);
 
        // XXX Is the constructor too slow?
-       std::poisson_distribution<result_type> __poisson(__y);
+       std::poisson_distribution<result_type> __poisson(__y * (1.0 - p())
+                                                        / p());
        return __poisson(__urng);
       }
 
@@ -1099,10 +1100,10 @@
        typedef typename std::gamma_distribution<result_type>::param_type
          param_type;
        
-       const double __y =
-         _M_gd(__urng, param_type(__p.k(), __p.p() / (1.0 - __p.p())));
+       const double __y = _M_gd(__urng, param_type(__p.k(), 1.0));
 
-       std::poisson_distribution<result_type> __poisson(__y);
+       std::poisson_distribution<result_type> __poisson(__y * (1.0 - __p.p())
+                                                        / __p.p() );
        return __poisson(__urng);
       }
 
Index: include/bits/random.h
===================================================================
--- include/bits/random.h       (revision 171401)
+++ include/bits/random.h       (working copy)
@@ -3611,8 +3611,7 @@
        param_type(double __p = 0.5)
        : _M_p(__p)
        {
-         _GLIBCXX_DEBUG_ASSERT((_M_p > 0.0)
-                            && (_M_p < 1.0));
+         _GLIBCXX_DEBUG_ASSERT((_M_p > 0.0) && (_M_p < 1.0));
          _M_initialize();
        }
 
@@ -3782,7 +3781,9 @@
        explicit
        param_type(_IntType __k = 1, double __p = 0.5)
        : _M_k(__k), _M_p(__p)
-       { }
+       {
+         _GLIBCXX_DEBUG_ASSERT((_M_k > 0) && (_M_p > 0.0) && (_M_p <= 1.0));
+       }
 
        _IntType
        k() const
@@ -3803,12 +3804,12 @@
 
       explicit
       negative_binomial_distribution(_IntType __k = 1, double __p = 0.5)
-      : _M_param(__k, __p), _M_gd(__k, __p / (1.0 - __p))
+      : _M_param(__k, __p), _M_gd(__k, 1.0)
       { }
 
       explicit
       negative_binomial_distribution(const param_type& __p)
-      : _M_param(__p), _M_gd(__p.k(), __p.p() / (1.0 - __p.p()))
+      : _M_param(__p), _M_gd(__p.k(), 1.0)
       { }
 
       /**
Index: testsuite/26_numerics/random/uniform_int_distribution/operators/values.cc
===================================================================
--- testsuite/26_numerics/random/uniform_int_distribution/operators/values.cc   
(revision 0)
+++ testsuite/26_numerics/random/uniform_int_distribution/operators/values.cc   
(revision 0)
@@ -0,0 +1,50 @@
+// { dg-options "-std=gnu++0x" }
+// { dg-require-cstdint "" }
+//
+// Copyright (C) 2011 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 3, 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 COPYING3.  If not see
+// <http://www.gnu.org/licenses/>.
+
+// 26.5.8.2.1 Class template uniform_int_distribution [rand.dist.uni.int]
+
+#include <random>
+#include <functional>
+#include <testsuite_random.h>
+
+void test01()
+{
+  using namespace __gnu_test;
+
+  std::mt19937 eng;
+
+  std::uniform_int_distribution<> uid1(0, 2);
+  auto buid1 = std::bind(uid1, eng);
+  testDiscreteDist(buid1, [](int n) { return uniform_int_pdf(n, 0, 2); } );
+
+  std::uniform_int_distribution<> uid2(3, 7);
+  auto buid2 = std::bind(uid2, eng);
+  testDiscreteDist(buid2, [](int n) { return uniform_int_pdf(n, 3, 7); } );
+
+  std::uniform_int_distribution<> uid3(1, 20);
+  auto buid3 = std::bind(uid3, eng);
+  testDiscreteDist(buid3, [](int n) { return uniform_int_pdf(n, 1, 20); } );
+}
+
+int main()
+{
+  test01();
+  return 0;
+}
Index: testsuite/26_numerics/random/poisson_distribution/operators/values.cc
===================================================================
--- testsuite/26_numerics/random/poisson_distribution/operators/values.cc       
(revision 0)
+++ testsuite/26_numerics/random/poisson_distribution/operators/values.cc       
(revision 0)
@@ -0,0 +1,51 @@
+// { dg-options "-std=gnu++0x" }
+// { dg-require-cstdint "" }
+// { dg-require-cmath "" }
+//
+// Copyright (C) 2011 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 3, 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 COPYING3.  If not see
+// <http://www.gnu.org/licenses/>.
+
+// 26.5.8.4.1 Class template poisson_distribution [rand.dist.pois.poisson]
+
+#include <random>
+#include <functional>
+#include <testsuite_random.h>
+
+void test01()
+{
+  using namespace __gnu_test;
+
+  std::mt19937 eng;
+
+  std::poisson_distribution<> pd1(3.0);
+  auto bpd1 = std::bind(pd1, eng);
+  testDiscreteDist(bpd1, [](int n) { return poisson_pdf(n, 3.0); } );
+
+  std::poisson_distribution<> pd2(15.0);
+  auto bpd2 = std::bind(pd2, eng);
+  testDiscreteDist(bpd2, [](int n) { return poisson_pdf(n, 15.0); } );
+
+  std::poisson_distribution<> pd3(30.0);
+  auto bpd3 = std::bind(pd3, eng);
+  testDiscreteDist(bpd3, [](int n) { return poisson_pdf(n, 30.0); } );
+}
+
+int main()
+{
+  test01();
+  return 0;
+}
Index: testsuite/26_numerics/random/discrete_distribution/operators/values.cc
===================================================================
--- testsuite/26_numerics/random/discrete_distribution/operators/values.cc      
(revision 0)
+++ testsuite/26_numerics/random/discrete_distribution/operators/values.cc      
(revision 0)
@@ -0,0 +1,52 @@
+// { dg-options "-std=gnu++0x" }
+// { dg-require-cstdint "" }
+//
+// Copyright (C) 2011 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 3, 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 COPYING3.  If not see
+// <http://www.gnu.org/licenses/>.
+
+// 26.5.8.6.1 Class template discrete_distribution [rand.dist.samp.discrete]
+
+#include <random>
+#include <functional>
+#include <testsuite_random.h>
+
+void test01()
+{
+  using namespace __gnu_test;
+
+  std::mt19937 eng;
+
+  std::discrete_distribution<> dd1({ });
+  auto bdd1 = std::bind(dd1, eng);
+  testDiscreteDist(bdd1, [](int n) { return discrete_pdf(n, { }); } );
+
+  std::discrete_distribution<> dd2({ 1.0, 3.0, 2.0});
+  auto bdd2 = std::bind(dd2, eng);
+  testDiscreteDist(bdd2, [](int n)
+                  { return discrete_pdf(n, { 1.0, 3.0, 2.0}); } );
+
+  std::discrete_distribution<> dd3({ 2.0, 2.0, 1.0, 0.0, 4.0});
+  auto bdd3 = std::bind(dd3, eng);
+  testDiscreteDist(bdd3, [](int n)
+                  { return discrete_pdf(n, { 2.0, 2.0, 1.0, 0.0, 4.0}); } );
+}
+
+int main()
+{
+  test01();
+  return 0;
+}
Index: 
testsuite/26_numerics/random/negative_binomial_distribution/operators/values.cc
===================================================================
--- 
testsuite/26_numerics/random/negative_binomial_distribution/operators/values.cc 
    (revision 0)
+++ 
testsuite/26_numerics/random/negative_binomial_distribution/operators/values.cc 
    (revision 0)
@@ -0,0 +1,55 @@
+// { dg-options "-std=gnu++0x" }
+// { dg-require-cstdint "" }
+// { dg-require-cmath "" }
+//
+// Copyright (C) 2011 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 3, 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 COPYING3.  If not see
+// <http://www.gnu.org/licenses/>.
+
+// 26.5.8.3.4 Class template negative_binomial_distribution
+// [rand.dist.bern.negbin]
+
+#include <random>
+#include <functional>
+#include <testsuite_random.h>
+
+void test01()
+{
+  using namespace __gnu_test;
+
+  std::mt19937 eng;
+
+  std::negative_binomial_distribution<> nbd1(5, 0.3);
+  auto bnbd1 = std::bind(nbd1, eng);
+  testDiscreteDist(bnbd1, [](int n)
+                  { return negative_binomial_pdf(n, 5, 0.3); } );
+
+  std::negative_binomial_distribution<> nbd2(55, 0.3);
+  auto bnbd2 = std::bind(nbd2, eng);
+  testDiscreteDist(bnbd2, [](int n)
+                  { return negative_binomial_pdf(n, 55, 0.3); } );
+
+  std::negative_binomial_distribution<> nbd3(10, 0.75);
+  auto bnbd3 = std::bind(nbd3, eng);
+  testDiscreteDist(bnbd3, [](int n)
+                  { return negative_binomial_pdf(n, 10, 0.75); } );
+}
+
+int main()
+{
+  test01();
+  return 0;
+}
Index: testsuite/26_numerics/random/binomial_distribution/operators/values.cc
===================================================================
--- testsuite/26_numerics/random/binomial_distribution/operators/values.cc      
(revision 171401)
+++ testsuite/26_numerics/random/binomial_distribution/operators/values.cc      
(working copy)
@@ -33,16 +33,16 @@
 
   std::binomial_distribution<> bd1(5, 0.3);
   auto bbd1 = std::bind(bd1, eng);
-  testDiscreteDist(bbd1, [](int n) { return binomial_pdf(n, 0.3, 5); } );
+  testDiscreteDist(bbd1, [](int n) { return binomial_pdf(n, 5, 0.3); } );
 
   std::binomial_distribution<> bd2(55, 0.3);
   auto bbd2 = std::bind(bd2, eng);
-  testDiscreteDist(bbd2, [](int n) { return binomial_pdf(n, 0.3, 55); } );
+  testDiscreteDist(bbd2, [](int n) { return binomial_pdf(n, 55, 0.3); } );
 
   // libstdc++/48114
   std::binomial_distribution<> bd3(10, 0.75);
   auto bbd3 = std::bind(bd3, eng);
-  testDiscreteDist(bbd3, [](int n) { return binomial_pdf(n, 0.75, 10); } );
+  testDiscreteDist(bbd3, [](int n) { return binomial_pdf(n, 10, 0.75); } );
 }
 
 int main()
Index: testsuite/util/testsuite_random.h
===================================================================
--- testsuite/util/testsuite_random.h   (revision 171401)
+++ testsuite/util/testsuite_random.h   (working copy)
@@ -25,6 +25,7 @@
 #define _GLIBCXX_TESTSUITE_RANDOM_H
 
 #include <cmath>
+#include <initializer_list>
 #include <testsuite_hooks.h>
 
 namespace __gnu_test
@@ -79,27 +80,27 @@
     else if (k == 1)
       return p;
     else
-      return 0;
+      return 0.0;
   }
 
 #ifdef _GLIBCXX_USE_C99_MATH_TR1
   inline double
-  binomial_pdf(int k, double p, int n)
+  binomial_pdf(int k, int n, double p)
   {
     if (k < 0 || k > n)
-      return 0;
+      return 0.0;
     else
       {
        double q;
 
-       if (p == 0) 
-         q = (k == 0) ? 1 : 0;
-       else if (p == 1)
-         q = (k == n) ? 1 : 0;
+       if (p == 0.0)
+         q = (k == 0) ? 1.0 : 0.0;
+       else if (p == 1.0)
+         q = (k == n) ? 1.0 : 0.0;
        else
          {
-           double ln_Cnk = (std::lgamma(n + 1) - std::lgamma(k + 1)
-                            - std::lgamma(n - k + 1));
+           double ln_Cnk = (std::lgamma(n + 1.0) - std::lgamma(k + 1.0)
+                            - std::lgamma(n - k + 1.0));
            q = ln_Cnk + k * std::log(p) + (n - k) * std::log1p(-p);
            q = std::exp(q);
          }
@@ -110,15 +111,71 @@
 #endif
 
   inline double
+  discrete_pdf(int k, std::initializer_list<double> wl)
+  {
+    if (!wl.size())
+      wl = { 1.0 };
+
+    if (k < 0 || k >= wl.size())
+      return 0.0;
+    else
+      {
+       double sum = 0.0;
+       for (auto it = wl.begin(); it != wl.end(); ++it)
+         sum += *it;
+       return wl.begin()[k] / sum;
+      }
+  }
+
+  inline double
   geometric_pdf(int k, double p)
   {
     if (k < 0)
-      return 0;
+      return 0.0;
     else if (k == 0)
       return p;
     else
       return p * std::pow(1 - p, k);
   }
+
+#ifdef _GLIBCXX_USE_C99_MATH_TR1
+  inline double
+  negative_binomial_pdf(int k, int n, double p)
+  {
+    if (k < 0)
+      return 0.0;
+    else
+      {
+       double f = std::lgamma(k + (double)n);
+       double a = std::lgamma(n);
+       double b = std::lgamma(k + 1.0);
+ 
+       return std::exp(f - a - b) * std::pow(p, n) * std::pow(1 - p, k);
+      }
+  }
+
+  inline double
+  poisson_pdf(int k, double mu)
+  {
+    if (k < 0)
+      return 0.0;
+    else
+      {
+       double lf = std::lgamma(k + 1.0); 
+       return std::exp(std::log(mu) * k - lf - mu);
+      }
+  }
+#endif
+
+  inline double
+  uniform_int_pdf(int k, int a, int b)
+  {
+    if (k < 0 || k < a || k > b)
+      return 0.0;
+    else
+      return 1.0 / (b - a + 1.0);
+  }
+
 } // namespace __gnu_test
 
 #endif // #ifndef _GLIBCXX_TESTSUITE_RANDOM_H

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