builtins.c (fold_builtin): Optimize cos(-x) as cos(x).

	* builtins.c (fold_builtin): Optimize cos(-x) as cos(x).
	* fold-const.c (fold <NEGATE_EXPR>): Convert -f(x) into f(-x)
	when x is easily negated and f is sin, tan or atan.
	(fold <MULT_EXPR>): Optimize tan(x)*cos(x) and cos(x)*tan(x) as
	sin(x) with flag_unsafe_math_optimizations.
	(fold <RDIV_EXPR>): With flag_unsafe_math_optimizations fold
	sin(x)/cos(x) as tan(x) and cos(x)/sin(x) as 1.0/tan(x).

	* gcc.dg/builtins-20.c: New test case.

From-SVN: r67701

gcc/ChangeLog

 2003-06-10  Roger Sayle  <roger@eyesopen.com>
 
+	* builtins.c (fold_builtin): Optimize cos(-x) as cos(x).
+	* fold-const.c (fold <NEGATE_EXPR>): Convert -f(x) into f(-x)
+	when x is easily negated and f is sin, tan or atan.
+	(fold <MULT_EXPR>): Optimize tan(x)*cos(x) and cos(x)*tan(x) as
+	sin(x) with flag_unsafe_math_optimizations.
+	(fold <RDIV_EXPR>): With flag_unsafe_math_optimizations fold
+	sin(x)/cos(x) as tan(x) and cos(x)/sin(x) as 1.0/tan(x).
+
+2003-06-10  Roger Sayle  <roger@eyesopen.com>
+
 	* fold-const.c (fold <EQ_EXPR>):  Don't fold x == x only if x
 	is a floating point type *and* we currently honor NaNs.
 	(fold <NE_EXPR>): Likewise.

gcc/builtins.c

@@ -5346,6 +5346,14 @@ fold_builtin (exp)
 	  /* Optimize cos(0.0) = 1.0.  */
 	  if (real_zerop (arg))
 	    return build_real (type, dconst1);
+
+	  /* Optimize cos(-x) into cos(x).  */
+	  if (TREE_CODE (arg) == NEGATE_EXPR)
+	    {
+	      tree arglist = build_tree_list (NULL_TREE,
+					      TREE_OPERAND (arg, 0));
+	      return build_function_call_expr (fndecl, arglist);
+	    }
 	}
       break;
 

gcc/fold-const.c

@@ -5376,6 +5376,33 @@ fold (expr)
 	return build (MINUS_EXPR, type, TREE_OPERAND (arg0, 1),
 		      TREE_OPERAND (arg0, 0));
 
+      /* Convert -f(x) into f(-x) where f is sin, tan or atan.  */
+      switch (builtin_mathfn_code (arg0))
+	{
+	case BUILT_IN_SIN:
+	case BUILT_IN_SINF:
+	case BUILT_IN_SINL:
+	case BUILT_IN_TAN:
+	case BUILT_IN_TANF:
+	case BUILT_IN_TANL:
+	case BUILT_IN_ATAN:
+	case BUILT_IN_ATANF:
+	case BUILT_IN_ATANL:
+	  if (negate_expr_p (TREE_VALUE (TREE_OPERAND (arg0, 1))))
+	    {
+	      tree fndecl, arg, arglist;
+
+	      fndecl = TREE_OPERAND (TREE_OPERAND (arg0, 0), 0);
+	      arg = TREE_VALUE (TREE_OPERAND (arg0, 1));
+	      arg = fold (build1 (NEGATE_EXPR, type, arg));
+	      arglist = build_tree_list (NULL_TREE, arg);
+	      return build_function_call_expr (fndecl, arglist);
+	    }
+	  break;
+
+	default:
+	  break;
+	}
       return t;
 
     case ABS_EXPR:
@@ -5965,6 +5992,41 @@ fold (expr)
 		      return build_function_call_expr (powfn, arglist);
 		    }
 		}
+
+	      /* Optimize tan(x)*cos(x) as sin(x).  */
+	      if (((fcode0 == BUILT_IN_TAN && fcode1 == BUILT_IN_COS)
+		   || (fcode0 == BUILT_IN_TANF && fcode1 == BUILT_IN_COSF)
+		   || (fcode0 == BUILT_IN_TANL && fcode1 == BUILT_IN_COSL)
+		   || (fcode0 == BUILT_IN_COS && fcode1 == BUILT_IN_TAN)
+		   || (fcode0 == BUILT_IN_COSF && fcode1 == BUILT_IN_TANF)
+		   || (fcode0 == BUILT_IN_COSL && fcode1 == BUILT_IN_TANL))
+		  && operand_equal_p (TREE_VALUE (TREE_OPERAND (arg0, 1)),
+				      TREE_VALUE (TREE_OPERAND (arg1, 1)), 0))
+		{
+		  tree sinfn;
+
+		  switch (fcode0)
+		    {
+		    case BUILT_IN_TAN:
+		    case BUILT_IN_COS:
+		      sinfn = implicit_built_in_decls[BUILT_IN_SIN];
+		      break;
+		    case BUILT_IN_TANF:
+		    case BUILT_IN_COSF:
+		      sinfn = implicit_built_in_decls[BUILT_IN_SINF];
+		      break;
+		    case BUILT_IN_TANL:
+		    case BUILT_IN_COSL:
+		      sinfn = implicit_built_in_decls[BUILT_IN_SINL];
+		      break;
+		    default:
+		      sinfn = NULL_TREE;
+		    }
+
+		  if (sinfn != NULL_TREE)
+		    return build_function_call_expr (sinfn,
+						     TREE_OPERAND (arg0, 1));
+		}
 	    }
 	}
       goto associate;
@@ -6166,6 +6228,63 @@ fold (expr)
 	      return fold (build (MULT_EXPR, type, arg0, arg1));
 	    }
 	}
+
+      if (flag_unsafe_math_optimizations)
+	{
+	  enum built_in_function fcode0 = builtin_mathfn_code (arg0);
+	  enum built_in_function fcode1 = builtin_mathfn_code (arg1);
+
+	  /* Optimize sin(x)/cos(x) as tan(x).  */
+	  if (((fcode0 == BUILT_IN_SIN && fcode1 == BUILT_IN_COS)
+	       || (fcode0 == BUILT_IN_SINF && fcode1 == BUILT_IN_COSF)
+	       || (fcode0 == BUILT_IN_SINL && fcode1 == BUILT_IN_COSL))
+	      && operand_equal_p (TREE_VALUE (TREE_OPERAND (arg0, 1)),
+				  TREE_VALUE (TREE_OPERAND (arg1, 1)), 0))
+	    {
+	      tree tanfn;
+
+	      if (fcode0 == BUILT_IN_SIN)
+		tanfn = implicit_built_in_decls[BUILT_IN_TAN];
+	      else if (fcode0 == BUILT_IN_SINF)
+		tanfn = implicit_built_in_decls[BUILT_IN_TANF];
+	      else if (fcode0 == BUILT_IN_SINL)
+		tanfn = implicit_built_in_decls[BUILT_IN_TANL];
+	      else
+		tanfn = NULL_TREE;
+
+	      if (tanfn != NULL_TREE)
+		return build_function_call_expr (tanfn,
+						 TREE_OPERAND (arg0, 1));
+	    }
+
+	  /* Optimize cos(x)/sin(x) as 1.0/tan(x).  */
+	  if (((fcode0 == BUILT_IN_COS && fcode1 == BUILT_IN_SIN)
+	       || (fcode0 == BUILT_IN_COSF && fcode1 == BUILT_IN_SINF)
+	       || (fcode0 == BUILT_IN_COSL && fcode1 == BUILT_IN_SINL))
+	      && operand_equal_p (TREE_VALUE (TREE_OPERAND (arg0, 1)),
+				  TREE_VALUE (TREE_OPERAND (arg1, 1)), 0))
+	    {
+	      tree tanfn;
+
+	      if (fcode0 == BUILT_IN_COS)
+		tanfn = implicit_built_in_decls[BUILT_IN_TAN];
+	      else if (fcode0 == BUILT_IN_COSF)
+		tanfn = implicit_built_in_decls[BUILT_IN_TANF];
+	      else if (fcode0 == BUILT_IN_COSL)
+		tanfn = implicit_built_in_decls[BUILT_IN_TANL];
+	      else
+		tanfn = NULL_TREE;
+
+	      if (tanfn != NULL_TREE)
+		{
+		  tree tmp = TREE_OPERAND (arg0, 1);
+		  tmp = build_function_call_expr (tanfn, tmp);
+		  return fold (build (RDIV_EXPR, type,
+				      build_real (type, dconst1),
+				      tmp));
+		}
+	    }
+	}
       goto binary;
 
     case TRUNC_DIV_EXPR:

gcc/testsuite/ChangeLog

+2003-06-10  Roger Sayle  <roger@eyesopen.com>
+
+	* gcc.dg/builtins-20.c: New test case.
+
 2003-06-10  Mark Mitchell  <mark@codesourcery.com>
 
 	PR c++/11131

gcc/testsuite/gcc.dg/builtins-20.c

+/* Copyright (C) 2003  Free Software Foundation.
+
+   Verify that built-in math function constant folding doesn't break
+   anything and produces the expected results.
+
+   Written by Roger Sayle, 8th June 2003.  */
+
+/* { dg-do link } */
+/* { dg-options "-O2 -ffast-math" } */
+
+extern void link_error(void);
+
+void test1(double x)
+{
+  if (cos(x) != cos(-x))
+    link_error ();
+
+  if (sin(x)/cos(x) != tan(x))
+    link_error ();
+
+  if (cos(x)/sin(x) != 1.0/tan(x))
+    link_error ();
+
+  if (tan(x)*cos(x) != sin(x))
+    link_error ();
+
+  if (cos(x)*tan(x) != sin(x))
+    link_error ();
+}
+
+void test2(double x, double y)
+{
+  if (-tan(x-y) != tan(y-x))
+    link_error ();
+
+  if (-sin(x-y) != sin(y-x))
+    link_error ();
+}
+
+void test1f(float x)
+{
+  if (cosf(x) != cosf(-x))
+    link_error ();
+
+  if (sinf(x)/cosf(x) != tanf(x))
+    link_error ();
+
+  if (cosf(x)/sinf(x) != 1.0f/tanf(x))
+    link_error ();
+
+  if (tanf(x)*cosf(x) != sinf(x))
+    link_error ();
+
+  if (cosf(x)*tanf(x) != sinf(x))
+    link_error ();
+}
+
+void test2f(float x, float y)
+{
+  if (-tanf(x-y) != tanf(y-x))
+    link_error ();
+
+  if (-sinf(x-y) != sinf(y-x))
+    link_error ();
+}
+
+
+void test1l(long double x)
+{
+  if (cosl(x) != cosl(-x))
+    link_error ();
+
+  if (sinl(x)/cosl(x) != tanl(x))
+    link_error ();
+
+  if (cosl(x)/sinl(x) != 1.0l/tanl(x))
+    link_error ();
+
+  if (tanl(x)*cosl(x) != sinl(x))
+    link_error ();
+
+  if (cosl(x)*tanl(x) != sinl(x))
+    link_error ();
+}
+
+void test2l(long double x, long double y)
+{
+  if (-tanl(x-y) != tanl(y-x))
+    link_error ();
+
+  if (-sinl(x-y) != sinl(y-x))
+    link_error ();
+}
+
+int main()
+{
+  test1 (1.0);
+  test2 (1.0, 2.0);
+
+  test1f (1.0f);
+  test2f (1.0f, 2.0f);
+
+  test1l (1.0l);
+  test2l (1.0l, 2.0l);
+
+  return 0;
+}
+