--- /dev/null	2016-05-31 09:42:47.975716356 -0700
+++ new/src/jdk.vm.compiler/share/classes/org.graalvm.compiler.replacements.amd64/src/org/graalvm/compiler/replacements/amd64/AMD64MathSubstitutions.java	2016-12-09 00:56:42.260397132 -0800
@@ -0,0 +1,83 @@
+/*
+ * Copyright (c) 2011, 2015, Oracle and/or its affiliates. All rights reserved.
+ * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
+ *
+ * This code is free software; you can redistribute it and/or modify it
+ * under the terms of the GNU General Public License version 2 only, as
+ * published by the Free Software Foundation.
+ *
+ * This code 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
+ * version 2 for more details (a copy is included in the LICENSE file that
+ * accompanied this code).
+ *
+ * You should have received a copy of the GNU General Public License version
+ * 2 along with this work; if not, write to the Free Software Foundation,
+ * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
+ *
+ * Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
+ * or visit www.oracle.com if you need additional information or have any
+ * questions.
+ */
+package org.graalvm.compiler.replacements.amd64;
+
+import org.graalvm.compiler.api.replacements.ClassSubstitution;
+import org.graalvm.compiler.api.replacements.MethodSubstitution;
+import org.graalvm.compiler.core.common.spi.ForeignCallDescriptor;
+import org.graalvm.compiler.graph.Node.ConstantNodeParameter;
+import org.graalvm.compiler.graph.Node.NodeIntrinsic;
+import org.graalvm.compiler.nodes.extended.ForeignCallNode;
+import org.graalvm.compiler.replacements.nodes.UnaryMathIntrinsicNode;
+import org.graalvm.compiler.replacements.nodes.UnaryMathIntrinsicNode.UnaryOperation;
+
+// JaCoCo Exclude
+
+/**
+ * Substitutions for some {@link java.lang.Math} methods that leverage AMD64 instructions for
+ * selected input values.
+ */
+@ClassSubstitution(Math.class)
+public class AMD64MathSubstitutions {
+
+    private static final double PI_4 = Math.PI / 4;
+
+    // NOTE on snippets below:
+    // Math.sin(), .cos() and .tan() guarantee a value within 1 ULP of the
+    // exact result, but x87 trigonometric FPU instructions are only that
+    // accurate within [-pi/4, pi/4]. Examine the passed value and provide
+    // a slow path for inputs outside of that interval.
+
+    @MethodSubstitution
+    public static double sin(double x) {
+        if (Math.abs(x) < PI_4) {
+            return UnaryMathIntrinsicNode.compute(x, UnaryOperation.SIN);
+        } else {
+            return callDouble1(UnaryOperation.SIN.foreignCallDescriptor, x);
+        }
+    }
+
+    @MethodSubstitution
+    public static double cos(double x) {
+        if (Math.abs(x) < PI_4) {
+            return UnaryMathIntrinsicNode.compute(x, UnaryOperation.COS);
+        } else {
+            return callDouble1(UnaryOperation.COS.foreignCallDescriptor, x);
+        }
+    }
+
+    @MethodSubstitution
+    public static double tan(double x) {
+        if (Math.abs(x) < PI_4) {
+            return UnaryMathIntrinsicNode.compute(x, UnaryOperation.TAN);
+        } else {
+            return callDouble1(UnaryOperation.TAN.foreignCallDescriptor, x);
+        }
+    }
+
+    @NodeIntrinsic(value = ForeignCallNode.class)
+    private static native double callDouble1(@ConstantNodeParameter ForeignCallDescriptor descriptor, double value);
+
+    @NodeIntrinsic(value = ForeignCallNode.class)
+    private static native double callDouble2(@ConstantNodeParameter ForeignCallDescriptor descriptor, double a, double b);
+}