Squashed 'third_party/eigen/' changes from 61d72f6..cf794d3


Change-Id: I9b814151b01f49af6337a8605d0c42a3a1ed4c72
git-subtree-dir: third_party/eigen
git-subtree-split: cf794d3b741a6278df169e58461f8529f43bce5d
diff --git a/test/rand.cpp b/test/rand.cpp
new file mode 100644
index 0000000..51cf017
--- /dev/null
+++ b/test/rand.cpp
@@ -0,0 +1,118 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2015 Gael Guennebaud <gael.guennebaud@inria.fr>
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#include "main.h"
+
+typedef long long int64;
+
+template<typename Scalar> Scalar check_in_range(Scalar x, Scalar y)
+{
+  Scalar r = internal::random<Scalar>(x,y);
+  VERIFY(r>=x);
+  if(y>=x)
+  {
+    VERIFY(r<=y);
+  }
+  return r;
+}
+
+template<typename Scalar> void check_all_in_range(Scalar x, Scalar y)
+{
+  Array<int,1,Dynamic> mask(y-x+1);
+  mask.fill(0);
+  long n = (y-x+1)*32;
+  for(long k=0; k<n; ++k)
+  {
+    mask( check_in_range(x,y)-x )++;
+  }
+  for(Index i=0; i<mask.size(); ++i)
+    if(mask(i)==0)
+      std::cout << "WARNING: value " << x+i << " not reached." << std::endl;
+  VERIFY( (mask>0).all() );
+}
+
+template<typename Scalar> void check_histogram(Scalar x, Scalar y, int bins)
+{
+  Array<int,1,Dynamic> hist(bins);
+  hist.fill(0);
+  int f = 100000;
+  int n = bins*f;
+  int64 range = int64(y)-int64(x);
+  int divisor = int((range+1)/bins);
+  assert(((range+1)%bins)==0);
+  for(int k=0; k<n; ++k)
+  {
+    Scalar r = check_in_range(x,y);
+    hist( int((int64(r)-int64(x))/divisor) )++;
+  }
+  VERIFY( (((hist.cast<double>()/double(f))-1.0).abs()<0.02).all() );
+}
+
+void test_rand()
+{
+  long long_ref = NumTraits<long>::highest()/10;
+  signed char char_offset = (std::min)(g_repeat,64);
+  signed char short_offset = (std::min)(g_repeat,16000);
+
+  for(int i = 0; i < g_repeat*10000; i++) {
+    CALL_SUBTEST(check_in_range<float>(10,11));
+    CALL_SUBTEST(check_in_range<float>(1.24234523,1.24234523));
+    CALL_SUBTEST(check_in_range<float>(-1,1));
+    CALL_SUBTEST(check_in_range<float>(-1432.2352,-1432.2352));
+
+    CALL_SUBTEST(check_in_range<double>(10,11));
+    CALL_SUBTEST(check_in_range<double>(1.24234523,1.24234523));
+    CALL_SUBTEST(check_in_range<double>(-1,1));
+    CALL_SUBTEST(check_in_range<double>(-1432.2352,-1432.2352));
+
+    CALL_SUBTEST(check_in_range<int>(0,-1));
+    CALL_SUBTEST(check_in_range<short>(0,-1));
+    CALL_SUBTEST(check_in_range<long>(0,-1));
+    CALL_SUBTEST(check_in_range<int>(-673456,673456));
+    CALL_SUBTEST(check_in_range<int>(-RAND_MAX+10,RAND_MAX-10));
+    CALL_SUBTEST(check_in_range<short>(-24345,24345));
+    CALL_SUBTEST(check_in_range<long>(-long_ref,long_ref));
+  }
+
+  CALL_SUBTEST(check_all_in_range<signed char>(11,11));
+  CALL_SUBTEST(check_all_in_range<signed char>(11,11+char_offset));
+  CALL_SUBTEST(check_all_in_range<signed char>(-5,5));
+  CALL_SUBTEST(check_all_in_range<signed char>(-11-char_offset,-11));
+  CALL_SUBTEST(check_all_in_range<signed char>(-126,-126+char_offset));
+  CALL_SUBTEST(check_all_in_range<signed char>(126-char_offset,126));
+  CALL_SUBTEST(check_all_in_range<signed char>(-126,126));
+
+  CALL_SUBTEST(check_all_in_range<short>(11,11));
+  CALL_SUBTEST(check_all_in_range<short>(11,11+short_offset));
+  CALL_SUBTEST(check_all_in_range<short>(-5,5));
+  CALL_SUBTEST(check_all_in_range<short>(-11-short_offset,-11));
+  CALL_SUBTEST(check_all_in_range<short>(-24345,-24345+short_offset));
+  CALL_SUBTEST(check_all_in_range<short>(24345,24345+short_offset));
+
+  CALL_SUBTEST(check_all_in_range<int>(11,11));
+  CALL_SUBTEST(check_all_in_range<int>(11,11+g_repeat));
+  CALL_SUBTEST(check_all_in_range<int>(-5,5));
+  CALL_SUBTEST(check_all_in_range<int>(-11-g_repeat,-11));
+  CALL_SUBTEST(check_all_in_range<int>(-673456,-673456+g_repeat));
+  CALL_SUBTEST(check_all_in_range<int>(673456,673456+g_repeat));
+
+  CALL_SUBTEST(check_all_in_range<long>(11,11));
+  CALL_SUBTEST(check_all_in_range<long>(11,11+g_repeat));
+  CALL_SUBTEST(check_all_in_range<long>(-5,5));
+  CALL_SUBTEST(check_all_in_range<long>(-11-g_repeat,-11));
+  CALL_SUBTEST(check_all_in_range<long>(-long_ref,-long_ref+g_repeat));
+  CALL_SUBTEST(check_all_in_range<long>( long_ref, long_ref+g_repeat));
+
+  CALL_SUBTEST(check_histogram<int>(-5,5,11));
+  int bins = 100;
+  CALL_SUBTEST(check_histogram<int>(-3333,-3333+bins*(3333/bins)-1,bins));
+  bins = 1000;
+  CALL_SUBTEST(check_histogram<int>(-RAND_MAX+10,-RAND_MAX+10+bins*(RAND_MAX/bins)-1,bins));
+  CALL_SUBTEST(check_histogram<int>(-RAND_MAX+10,-int64(RAND_MAX)+10+bins*(2*int64(RAND_MAX)/bins)-1,bins));
+}