Revert "[libcxx][gardening] Move all algorithms into their own headers."

This reverts commit 7ed7d4ccb8991e2b5b95334b508f8cec2faee737 as it
uncovered a Clang bug PR50592.

NOKEYCHECK=True
GitOrigin-RevId: 692d7166f7715514d0ff8090e5bd66668432b270
diff --git a/include/functional b/include/functional
index 6e9a334..62e9b89 100644
--- a/include/functional
+++ b/include/functional
@@ -509,7 +509,6 @@
 #include <__config>
 #include <__debug>
 #include <__functional_base>
-#include <__functional/search.h>
 #include <concepts>
 #include <exception>
 #include <memory>
@@ -3111,6 +3110,88 @@
 
 // struct hash<T*> in <memory>
 
+template <class _BinaryPredicate, class _ForwardIterator1, class _ForwardIterator2>
+pair<_ForwardIterator1, _ForwardIterator1> _LIBCPP_CONSTEXPR_AFTER_CXX11
+__search(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
+         _ForwardIterator2 __first2, _ForwardIterator2 __last2, _BinaryPredicate __pred,
+         forward_iterator_tag, forward_iterator_tag)
+{
+    if (__first2 == __last2)
+        return _VSTD::make_pair(__first1, __first1);  // Everything matches an empty sequence
+    while (true)
+    {
+        // Find first element in sequence 1 that matchs *__first2, with a mininum of loop checks
+        while (true)
+        {
+            if (__first1 == __last1)  // return __last1 if no element matches *__first2
+                return _VSTD::make_pair(__last1, __last1);
+            if (__pred(*__first1, *__first2))
+                break;
+            ++__first1;
+        }
+        // *__first1 matches *__first2, now match elements after here
+        _ForwardIterator1 __m1 = __first1;
+        _ForwardIterator2 __m2 = __first2;
+        while (true)
+        {
+            if (++__m2 == __last2)  // If pattern exhausted, __first1 is the answer (works for 1 element pattern)
+                return _VSTD::make_pair(__first1, __m1);
+            if (++__m1 == __last1)  // Otherwise if source exhaused, pattern not found
+                return _VSTD::make_pair(__last1, __last1);
+            if (!__pred(*__m1, *__m2))  // if there is a mismatch, restart with a new __first1
+            {
+                ++__first1;
+                break;
+            }  // else there is a match, check next elements
+        }
+    }
+}
+
+template <class _BinaryPredicate, class _RandomAccessIterator1, class _RandomAccessIterator2>
+_LIBCPP_CONSTEXPR_AFTER_CXX11
+pair<_RandomAccessIterator1, _RandomAccessIterator1>
+__search(_RandomAccessIterator1 __first1, _RandomAccessIterator1 __last1,
+         _RandomAccessIterator2 __first2, _RandomAccessIterator2 __last2, _BinaryPredicate __pred,
+           random_access_iterator_tag, random_access_iterator_tag)
+{
+    typedef typename iterator_traits<_RandomAccessIterator1>::difference_type _D1;
+    typedef typename iterator_traits<_RandomAccessIterator2>::difference_type _D2;
+    // Take advantage of knowing source and pattern lengths.  Stop short when source is smaller than pattern
+    const _D2 __len2 = __last2 - __first2;
+    if (__len2 == 0)
+        return _VSTD::make_pair(__first1, __first1);
+    const _D1 __len1 = __last1 - __first1;
+    if (__len1 < __len2)
+        return _VSTD::make_pair(__last1, __last1);
+    const _RandomAccessIterator1 __s = __last1 - (__len2 - 1);  // Start of pattern match can't go beyond here
+
+    while (true)
+    {
+        while (true)
+        {
+            if (__first1 == __s)
+                return _VSTD::make_pair(__last1, __last1);
+            if (__pred(*__first1, *__first2))
+                break;
+            ++__first1;
+        }
+
+        _RandomAccessIterator1 __m1 = __first1;
+        _RandomAccessIterator2 __m2 = __first2;
+         while (true)
+         {
+             if (++__m2 == __last2)
+                 return _VSTD::make_pair(__first1, __first1 + __len2);
+             ++__m1;          // no need to check range on __m1 because __s guarantees we have enough source
+             if (!__pred(*__m1, *__m2))
+             {
+                 ++__first1;
+                 break;
+             }
+         }
+    }
+}
+
 #if _LIBCPP_STD_VER > 14
 
 // default searcher