Added:
commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/automatic/functions/HypotGeneratorTest.java
URL:
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==============================================================================
---
commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/automatic/functions/HypotGeneratorTest.java
(added)
+++
commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/automatic/functions/HypotGeneratorTest.java
Tue Apr 15 06:25:28 2008
@@ -0,0 +1,52 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.nabla.automatic.functions;
+
+import org.apache.commons.nabla.ReferenceFunction;
+import org.apache.commons.nabla.automatic.AbstractMathTest;
+
+public class HypotGeneratorTest extends AbstractMathTest {
+
+ public void testReference1(){
+ checkReference(new ReferenceFunction() {
+ public double f(double t) { return Math.hypot(t, 3.0); }
+ public double fPrime(double t) { return t / Math.hypot(t, 3.0); }
+ }, -2, 2, 50, 2e-15);
+ }
+
+ public void testReference2(){
+ checkReference(new ReferenceFunction() {
+ public double f(double t) { return Math.hypot(3.0, t); }
+ public double fPrime(double t) { return t / Math.hypot(t, 3.0); }
+ }, -2, 2, 50, 0.0);
+ }
+
+ public void testReference12Aligned(){
+ checkReference(new ReferenceFunction() {
+ public double f(double t) { return Math.hypot(t, t); }
+ public double fPrime(double t) { return Math.sqrt(2); }
+ }, 0.1, 10, 20, 3.0e-16);
+ }
+
+ public void testReference12Shifted(){
+ checkReference(new ReferenceFunction() {
+ public double f(double t) { return Math.hypot(t, t + 1); }
+ public double fPrime(double t) { return (2 * t + 1) /
Math.hypot(t, t + 1); }
+ }, 0.1, 10, 20, 3.0e-16);
+ }
+
+}
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commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/automatic/functions/Log10GeneratorTest.java
URL:
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==============================================================================
---
commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/automatic/functions/Log10GeneratorTest.java
(added)
+++
commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/automatic/functions/Log10GeneratorTest.java
Tue Apr 15 06:25:28 2008
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.nabla.automatic.functions;
+
+import org.apache.commons.nabla.ReferenceFunction;
+import org.apache.commons.nabla.automatic.AbstractMathTest;
+
+public class Log10GeneratorTest extends AbstractMathTest {
+
+ public void testReference(){
+ checkReference(new ReferenceFunction() {
+ public double f(double t) { return Math.log10(t); }
+ public double fPrime(double t) { return 1 / (Math.log(10) * t); }
+ }, 0.1, 10, 50, 0.0);
+ }
+
+}
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commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/automatic/functions/Log1pGeneratorTest.java
URL:
http://svn.apache.org/viewvc/commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/automatic/functions/Log1pGeneratorTest.java?rev=648243&view=auto
==============================================================================
---
commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/automatic/functions/Log1pGeneratorTest.java
(added)
+++
commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/automatic/functions/Log1pGeneratorTest.java
Tue Apr 15 06:25:28 2008
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.nabla.automatic.functions;
+
+import org.apache.commons.nabla.ReferenceFunction;
+import org.apache.commons.nabla.automatic.AbstractMathTest;
+
+public class Log1pGeneratorTest extends AbstractMathTest {
+
+ public void testReference(){
+ checkReference(new ReferenceFunction() {
+ public double f(double t) { return Math.log1p(t); }
+ public double fPrime(double t) { return 1 / (1 + t); }
+ }, -0.2, 0.2, 50, 0.0);
+ }
+
+}
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URL:
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==============================================================================
---
commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/automatic/functions/LogGeneratorTest.java
(added)
+++
commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/automatic/functions/LogGeneratorTest.java
Tue Apr 15 06:25:28 2008
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.nabla.automatic.functions;
+
+import org.apache.commons.nabla.ReferenceFunction;
+import org.apache.commons.nabla.automatic.AbstractMathTest;
+
+public class LogGeneratorTest extends AbstractMathTest {
+
+ public void testReference(){
+ checkReference(new ReferenceFunction() {
+ public double f(double t) { return Math.log(t); }
+ public double fPrime(double t) { return 1 / t; }
+ }, 0.1, 10, 50, 0.0);
+ }
+
+}
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commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/automatic/functions/PowGeneratorTest.java
URL:
http://svn.apache.org/viewvc/commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/automatic/functions/PowGeneratorTest.java?rev=648243&view=auto
==============================================================================
---
commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/automatic/functions/PowGeneratorTest.java
(added)
+++
commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/automatic/functions/PowGeneratorTest.java
Tue Apr 15 06:25:28 2008
@@ -0,0 +1,45 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.nabla.automatic.functions;
+
+import org.apache.commons.nabla.ReferenceFunction;
+import org.apache.commons.nabla.automatic.AbstractMathTest;
+
+public class PowGeneratorTest extends AbstractMathTest {
+
+ public void testReference1(){
+ checkReference(new ReferenceFunction() {
+ public double f(double t) { return Math.pow(t, 3.0); }
+ public double fPrime(double t) { return 3 * Math.pow(t, 2.0); }
+ }, -2, 2, 50, 2e-15);
+ }
+
+ public void testReference2(){
+ checkReference(new ReferenceFunction() {
+ public double f(double t) { return Math.pow(3.0, t); }
+ public double fPrime(double t) { return Math.log(3) * Math.pow(3,
t); }
+ }, -2, 2, 50, 0.0);
+ }
+
+ public void testReference12(){
+ checkReference(new ReferenceFunction() {
+ public double f(double t) { return Math.pow(t, t); }
+ public double fPrime(double t) { return (1 + Math.log(t)) *
Math.pow(t, t); }
+ }, 0.1, 10, 20, 0);
+ }
+
+}
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commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/automatic/functions/SinGeneratorTest.java
URL:
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==============================================================================
---
commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/automatic/functions/SinGeneratorTest.java
(added)
+++
commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/automatic/functions/SinGeneratorTest.java
Tue Apr 15 06:25:28 2008
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.nabla.automatic.functions;
+
+import org.apache.commons.nabla.ReferenceFunction;
+import org.apache.commons.nabla.automatic.AbstractMathTest;
+
+public class SinGeneratorTest extends AbstractMathTest {
+
+ public void testReference(){
+ checkReference(new ReferenceFunction() {
+ public double f(double t) { return Math.sin(t); }
+ public double fPrime(double t) { return Math.cos(t); }
+ }, 0, 2 * Math.PI, 20, 0.0);
+ }
+
+}
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commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/automatic/functions/SinhGeneratorTest.java
URL:
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==============================================================================
---
commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/automatic/functions/SinhGeneratorTest.java
(added)
+++
commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/automatic/functions/SinhGeneratorTest.java
Tue Apr 15 06:25:28 2008
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.nabla.automatic.functions;
+
+import org.apache.commons.nabla.ReferenceFunction;
+import org.apache.commons.nabla.automatic.AbstractMathTest;
+
+public class SinhGeneratorTest extends AbstractMathTest {
+
+ public void testReference(){
+ checkReference(new ReferenceFunction() {
+ public double f(double t) { return Math.sinh(t); }
+ public double fPrime(double t) { return Math.cosh(t); }
+ }, -10, 10, 50, 0.0);
+ }
+
+}
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commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/automatic/functions/SqrtGeneratorTest.java
URL:
http://svn.apache.org/viewvc/commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/automatic/functions/SqrtGeneratorTest.java?rev=648243&view=auto
==============================================================================
---
commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/automatic/functions/SqrtGeneratorTest.java
(added)
+++
commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/automatic/functions/SqrtGeneratorTest.java
Tue Apr 15 06:25:28 2008
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.nabla.automatic.functions;
+
+import org.apache.commons.nabla.ReferenceFunction;
+import org.apache.commons.nabla.automatic.AbstractMathTest;
+
+public class SqrtGeneratorTest extends AbstractMathTest {
+
+ public void testReference(){
+ checkReference(new ReferenceFunction() {
+ public double f(double t) { return Math.sqrt(t); }
+ public double fPrime(double t) { return 1 / (2 * Math.sqrt(t)); }
+ }, 0.001, 10, 50, 0.0);
+ }
+
+}
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commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/automatic/functions/TanGeneratorTest.java
URL:
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==============================================================================
---
commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/automatic/functions/TanGeneratorTest.java
(added)
+++
commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/automatic/functions/TanGeneratorTest.java
Tue Apr 15 06:25:28 2008
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.nabla.automatic.functions;
+
+import org.apache.commons.nabla.ReferenceFunction;
+import org.apache.commons.nabla.automatic.AbstractMathTest;
+
+public class TanGeneratorTest extends AbstractMathTest {
+
+ public void testReference(){
+ checkReference(new ReferenceFunction() {
+ public double f(double t) { return Math.tan(t); }
+ public double fPrime(double t) { return 1 + Math.tan(t) *
Math.tan(t); }
+ }, 0, 2 * Math.PI, 20, 0.0);
+ }
+
+}
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commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/automatic/functions/TanhGeneratorTest.java
URL:
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==============================================================================
---
commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/automatic/functions/TanhGeneratorTest.java
(added)
+++
commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/automatic/functions/TanhGeneratorTest.java
Tue Apr 15 06:25:28 2008
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.nabla.automatic.functions;
+
+import org.apache.commons.nabla.ReferenceFunction;
+import org.apache.commons.nabla.automatic.AbstractMathTest;
+
+public class TanhGeneratorTest extends AbstractMathTest {
+
+ public void testReference(){
+ checkReference(new ReferenceFunction() {
+ public double f(double t) { return Math.tanh(t); }
+ public double fPrime(double t) { return 1 - Math.tanh(t) *
Math.tanh(t); }
+ }, -10, 10, 50, 0.0);
+ }
+
+}
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commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/core/DifferentialPairTest.java
URL:
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==============================================================================
---
commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/core/DifferentialPairTest.java
(added)
+++
commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/core/DifferentialPairTest.java
Tue Apr 15 06:25:28 2008
@@ -0,0 +1,179 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.nabla.core;
+
+import org.apache.commons.nabla.AbstractStaticFunctionsTest;
+import org.apache.commons.nabla.core.DifferentialPair;
+
+public class DifferentialPairTest extends AbstractStaticFunctionsTest {
+
+ public void testConstant() {
+ DifferentialPair p = DifferentialPair.newConstant(1.5);
+ assertEquals(1.5, p.getU0(), 1.0e-15);
+ assertEquals(0.0, p.getU1(), 1.0e-15);
+ }
+
+ public void testVariable() {
+ DifferentialPair p = DifferentialPair.newVariable(1.5);
+ assertEquals(1.5, p.getU0(), 1.0e-15);
+ assertEquals(1.0, p.getU1(), 1.0e-15);
+ }
+
+ public void testConstructor() {
+ DifferentialPair p = new DifferentialPair(1.5, -1.3);
+ assertEquals(1.5, p.getU0(), 1.0e-15);
+ assertEquals(-1.3, p.getU1(), 1.0e-15);
+ }
+
+ public void testMonadicOperations() {
+ defaultMonadicTest("negate");
+ defaultMonadicTest("square");
+ defaultMonadicTest("cube");
+ }
+
+ public void testDiadicOperations() {
+ defaultDiadicTest("add");
+ defaultDiadicTest("subtract");
+ defaultDiadicTest("multiply");
+ defaultDiadicTest("divide");
+ checkDiadicFunction(getNablaClass(), getJavaClass(), "remainder",
+ 1023, 1024, 2, 250, 251, 2, 1.0e-15, 1e-10);
+ }
+
+ protected Class<?> getJavaClass() {
+ return SimpleOperations.class;
+ }
+
+ protected Class<?> getNablaClass() {
+ return DifferentialPair.class;
+ }
+
+ protected static class SimpleOperations {
+ public static double add(double a, int b) {
+ return a + b;
+ }
+
+ public static double add(int a, double b) {
+ return a + b;
+ }
+
+ public static double add(double a, long b) {
+ return a + b;
+ }
+
+ public static double add(long a, double b) {
+ return a + b;
+ }
+
+ public static double add(double a, double b) {
+ return a + b;
+ }
+
+ public static double subtract(double a, int b) {
+ return a - b;
+ }
+
+ public static double subtract(int a, double b) {
+ return a - b;
+ }
+
+ public static double subtract(double a, long b) {
+ return a - b;
+ }
+
+ public static double subtract(long a, double b) {
+ return a - b;
+ }
+
+ public static double subtract(double a, double b) {
+ return a - b;
+ }
+
+ public static double multiply(double a, int b) {
+ return a * b;
+ }
+
+ public static double multiply(int a, double b) {
+ return a * b;
+ }
+
+ public static double multiply(double a, long b) {
+ return a * b;
+ }
+
+ public static double multiply(long a, double b) {
+ return a * b;
+ }
+
+ public static double multiply(double a, double b) {
+ return a * b;
+ }
+
+ public static double divide(double a, int b) {
+ return a / b;
+ }
+
+ public static double divide(int a, double b) {
+ return a / b;
+ }
+
+ public static double divide(double a, long b) {
+ return a / b;
+ }
+
+ public static double divide(long a, double b) {
+ return a / b;
+ }
+
+ public static double divide(double a, double b) {
+ return a / b;
+ }
+
+ public static double remainder(double a, int b) {
+ return a % b;
+ }
+
+ public static double remainder(int a, double b) {
+ return a % b;
+ }
+
+ public static double remainder(double a, long b) {
+ return a % b;
+ }
+
+ public static double remainder(long a, double b) {
+ return a % b;
+ }
+
+ public static double remainder(double a, double b) {
+ return a % b;
+ }
+
+ public static double negate(double a) {
+ return -a;
+ }
+
+ public static double square(double a) {
+ return a * a;
+ }
+
+ public static double cube(double a) {
+ return a * a * a;
+ }
+ }
+
+}
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commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/differences/AbstractFiniteDifferencesTest.java
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==============================================================================
---
commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/differences/AbstractFiniteDifferencesTest.java
(added)
+++
commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/differences/AbstractFiniteDifferencesTest.java
Tue Apr 15 06:25:28 2008
@@ -0,0 +1,197 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.nabla.differences;
+
+import java.util.Random;
+
+import org.apache.commons.nabla.Polynomial;
+import org.apache.commons.nabla.ReferenceFunction;
+import org.apache.commons.nabla.core.DifferentialPair;
+import org.apache.commons.nabla.core.DifferentiationException;
+import org.apache.commons.nabla.core.UnivariateDerivative;
+import org.apache.commons.nabla.differences.FiniteDifferencesDifferentiator;
+
+import junit.framework.TestCase;
+
+public abstract class AbstractFiniteDifferencesTest extends TestCase {
+
+ protected abstract FiniteDifferencesDifferentiator
buildDifferentiator(double h);
+ protected abstract int getOrder();
+
+ /** Check the reference implementation for polynomials. */
+ public void testReference() {
+
+ Polynomial legendre5 = new Polynomial(new double[] { 63, 0, -70, 0,
15, 0 });
+ assertEquals(17155.92466365559104, legendre5.f(Math.PI), 1.0e-9);
+ assertEquals(28626.24675148200242, legendre5.fPrime(Math.PI), 1.0e-8);
+
+ Polynomial legendre4 = new Polynomial(new double[] { 35, 0, -30, 0, 3
});
+ assertEquals(3116.230054157404545, legendre4.f(Math.PI), 1.0e-10);
+ assertEquals(4152.383176026587230, legendre4.fPrime(Math.PI), 1.0e-9);
+
+ Polynomial chebyshev7 = new Polynomial(new double[] { 64, 0, -112, 0,
56, 0, -7, 0 });
+ assertEquals(160738.9222272848309, chebyshev7.f(Math.PI), 1.0e-8);
+ assertEquals(377804.3612820780352, chebyshev7.fPrime(Math.PI), 1.0e-7);
+
+ Polynomial laguerre3 = new Polynomial(new double[] { -1, 9, -18, 6 });
+ assertEquals(7.271495164888129102, laguerre3.f(Math.PI), 1.0e-13);
+ assertEquals(8.939854561348202436, laguerre3.fPrime(Math.PI), 1.0e-12);
+
+ }
+
+ /** The differentiation schemes of order p should compute exact
differentials
+ * for polynomials up to degree p.
+ */
+ public void testExactPolynomialDifferentiation() throws
DifferentiationException {
+ for (int k = 0; k <= getOrder(); ++k) {
+ ReferenceFunction reference = Polynomial.randomPolynomial(random,
k);
+ UnivariateDerivative derivative =
buildDifferentiator(0.1).differentiate(reference);
+ for (DifferentialPair t : transcendentals) {
+ double error = derivative.f(t).getU1() -
reference.fPrime(t.getU0());
+ assertEquals(0, error, 1.0e-13 *
Math.abs(reference.fPrime(t.getU0())));
+ }
+ }
+ }
+
+ /** The derivative instances are bound to their primitive
+ * and should follow their updates transparently. */
+ public void testPrimitiveBinding() throws DifferentiationException {
+
+ // compute the differential once only
+ Polynomial reference = Polynomial.randomPolynomial(random, 3);
+ FiniteDifferencesDifferentiator differentiator =
buildDifferentiator(0.1);
+ UnivariateDerivative derivative =
differentiator.differentiate(reference);
+ double errorScaleFactor = differentiator.getSignedErrorScaleFactor();
+
+
+ // compute the differential values from this initial state
+ DifferentialPair[] beforeChange =
+ new DifferentialPair[transcendentals.length];
+ for (int i = 0; i < transcendentals.length; ++i) {
+ DifferentialPair t = transcendentals[i];
+ beforeChange[i] = derivative.f(t);
+ assertEquals(0, beforeChange[i].getU1() -
reference.fPrime(t.getU0()), 100 * Math.abs(errorScaleFactor));
+ }
+
+ // change the primitive WITHOUT recomputing the differential
+ ((Polynomial)
derivative.getPrimitive()).addToSelf(Polynomial.randomPolynomial(random, 4));
+
+ // compute the new values reusing the original differential
+ DifferentialPair[] afterChange =
+ new DifferentialPair[transcendentals.length];
+ for (int i = 0; i < transcendentals.length; ++i) {
+ DifferentialPair t = transcendentals[i];
+ afterChange[i] = derivative.f(t);
+ assertEquals(0, afterChange[i].getU1() -
reference.fPrime(t.getU0()), 100 * Math.abs(errorScaleFactor));
+ }
+
+ // check the change was important
+ for (int i = 0; i < transcendentals.length; ++i) {
+ DifferentialPair change =
+ DifferentialPair.subtract(beforeChange[i], afterChange[i]);
+ assertTrue(Math.abs(change.getU0()) > 10000.0 *
Math.abs(errorScaleFactor));
+ assertTrue(Math.abs(change.getU1()) > 10000.0 *
Math.abs(errorScaleFactor));
+ }
+
+ }
+
+ /** Check the differentials values in a range.
+ * @param reference reference differential
+ * @param h finite differences step
+ * @param lower lower bound of the test range
+ * @param upper upper bound of the test range
+ * @param n number of test points in the range
+ * @param epsilon tolerance on the differentials values
+ */
+ protected void checkValues(ReferenceFunction reference, double h,
+ double lower, double upper, int n,
+ double epsilon) {
+ try {
+ UnivariateDerivative derivative =
buildDifferentiator(h).differentiate(reference);
+ int n1 = n - 1;
+ for (int i = 0; i < n; ++i) {
+ double t = ((n1 - i) * lower + i * upper) / n1;
+ assertEquals(reference.fPrime(t),
+
derivative.f(DifferentialPair.newVariable(t)).getU1(),
+ epsilon);
+ }
+ } catch (DifferentiationException de) {
+ fail(de.getMessage());
+ }
+ }
+
+ /** Check the error order at some point.
+ * @param reference reference differential
+ * @param t abscissa of the test point
+ * @param hMin minimal step
+ * @param hMax minimal step
+ * @param n number of steps to try
+ * @param error expected order-normalized error
+ * @param epsilon tolerance on the expected extremal values
+ */
+ protected void checkOrder(ReferenceFunction reference,
+ double t, double hMin, double hMax, int n,
+ double error, double epsilon) {
+ try {
+ int n1 = n - 1;
+ for (int i = 0; i < n; ++i) {
+ double h = ((n1 - i) * hMin + i * hMax) / n1;
+ FiniteDifferencesDifferentiator fds = buildDifferentiator(h);
+ UnivariateDerivative derivative = fds.differentiate(reference);
+ double rawError =
+ derivative.f(DifferentialPair.newVariable(t)).getU1() -
reference.fPrime(t);
+ double orderNormalizedError = Math.abs(rawError /
fds.getSignedErrorScaleFactor());
+ assertEquals(error, orderNormalizedError, epsilon);
+ }
+ } catch (DifferentiationException de) {
+ fail(de.getMessage());
+ }
+ }
+
+ protected ReferenceFunction hugeDifferentialsFunction() {
+ return new ReferenceFunction() {
+ public double f(double t) {
+ return Math.sin(3 * Math.tan(t * t) - Math.log(t));
+ }
+ public double fPrime(double t) {
+ double t2 = t * t;
+ double cosT2 = Math.cos(t2);
+ double tanT2 = Math.tan(t2);
+ return (6 * t / (cosT2 * cosT2) - 1 / t) * Math.cos(3 * tanT2
- Math.log(t));
+ }
+ };
+ }
+
+ public void setUp() {
+ random = new Random(0x6c05e9f92868d664l);
+ transcendentals = new DifferentialPair[] {
+
DifferentialPair.newVariable(Math.PI),
+
DifferentialPair.newVariable(Math.E),
+
DifferentialPair.newVariable(Math.pow(2, Math.sqrt(2)))
+ };
+
+ }
+
+ public void tearDown() {
+ random = null;
+ transcendentals = null;
+ }
+
+ protected Random random;
+ private DifferentialPair[] transcendentals;
+
+}
Propchange:
commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/differences/AbstractFiniteDifferencesTest.java
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Added:
commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/differences/EightPointsSchemeTest.java
URL:
http://svn.apache.org/viewvc/commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/differences/EightPointsSchemeTest.java?rev=648243&view=auto
==============================================================================
---
commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/differences/EightPointsSchemeTest.java
(added)
+++
commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/differences/EightPointsSchemeTest.java
Tue Apr 15 06:25:28 2008
@@ -0,0 +1,52 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.nabla.differences;
+
+import org.apache.commons.nabla.Polynomial;
+import org.apache.commons.nabla.ReferenceFunction;
+import org.apache.commons.nabla.differences.EightPointsScheme;
+import org.apache.commons.nabla.differences.FiniteDifferencesDifferentiator;
+
+public class EightPointsSchemeTest extends AbstractFiniteDifferencesTest {
+
+ public void testApproximatePolynomialDifferentiation() {
+
+ ReferenceFunction reference = Polynomial.randomPolynomial(random, 9);
+ checkValues(reference, 0.1, -1.0, 1.0, 100, 3.0e-4);
+ checkOrder(reference, Math.PI, 0.05, 0.1, 100, 266000, 10000);
+
+ reference = Polynomial.randomPolynomial(random, 10);
+ checkValues(reference, 0.1, -1.0, 1.0, 100, 2.0e-3);
+ checkOrder(reference, Math.PI, 0.05, 0.1, 10, 8280000, 15500);
+
+ }
+
+ public void testHugeDifferentialsFunction() {
+ ReferenceFunction reference = hugeDifferentialsFunction();
+ checkValues(reference, 0.05, 0.3, 0.7, 100, 0.005);
+ checkOrder(reference, 0.5, 0.01, 0.02, 10, 61200000, 1300000);
+ }
+
+ protected FiniteDifferencesDifferentiator buildDifferentiator(double h) {
+ return new EightPointsScheme(h);
+ }
+
+ protected int getOrder() {
+ return 8;
+ }
+
+}
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commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/differences/EightPointsSchemeTest.java
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Added:
commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/differences/FourPointsSchemeTest.java
URL:
http://svn.apache.org/viewvc/commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/differences/FourPointsSchemeTest.java?rev=648243&view=auto
==============================================================================
---
commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/differences/FourPointsSchemeTest.java
(added)
+++
commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/differences/FourPointsSchemeTest.java
Tue Apr 15 06:25:28 2008
@@ -0,0 +1,52 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.nabla.differences;
+
+import org.apache.commons.nabla.Polynomial;
+import org.apache.commons.nabla.ReferenceFunction;
+import org.apache.commons.nabla.differences.FiniteDifferencesDifferentiator;
+import org.apache.commons.nabla.differences.FourPointsScheme;
+
+public class FourPointsSchemeTest extends AbstractFiniteDifferencesTest {
+
+ public void testApproximatePolynomialDifferentiation() {
+
+ ReferenceFunction reference = Polynomial.randomPolynomial(random, 5);
+ checkValues(reference, 0.1, -1.0, 1.0, 100, 3.0e-4);
+ checkOrder(reference, Math.PI, 0.05, 0.1, 100, 7.261, 1.0e-3);
+
+ reference = Polynomial.randomPolynomial(random, 6);
+ checkValues(reference, 0.1, -1.0, 1.0, 100, 2.0e-3);
+ checkOrder(reference, Math.PI, 0.05, 0.1, 10, 131.682, 1.0e-3);
+
+ }
+
+ public void testHugeDifferentialsFunction() {
+ ReferenceFunction reference = hugeDifferentialsFunction();
+ checkValues(reference, 0.05, 0.3, 0.7, 100, 0.005);
+ checkOrder(reference, 0.5, 0.01, 0.02, 10, 130.548, 0.084);
+ }
+
+ protected FiniteDifferencesDifferentiator buildDifferentiator(double h) {
+ return new FourPointsScheme(h);
+ }
+
+ protected int getOrder() {
+ return 4;
+ }
+
+}
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commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/differences/FourPointsSchemeTest.java
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Added:
commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/differences/SixPointsSchemeTest.java
URL:
http://svn.apache.org/viewvc/commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/differences/SixPointsSchemeTest.java?rev=648243&view=auto
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---
commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/differences/SixPointsSchemeTest.java
(added)
+++
commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/differences/SixPointsSchemeTest.java
Tue Apr 15 06:25:28 2008
@@ -0,0 +1,52 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.nabla.differences;
+
+import org.apache.commons.nabla.Polynomial;
+import org.apache.commons.nabla.ReferenceFunction;
+import org.apache.commons.nabla.differences.FiniteDifferencesDifferentiator;
+import org.apache.commons.nabla.differences.SixPointsScheme;
+
+public class SixPointsSchemeTest extends AbstractFiniteDifferencesTest {
+
+ public void testApproximatePolynomialDifferentiation() {
+
+ ReferenceFunction reference = Polynomial.randomPolynomial(random, 7);
+ checkValues(reference, 0.1, -1.0, 1.0, 100, 3.0e-4);
+ checkOrder(reference, Math.PI, 0.05, 0.1, 100, 3659.4, 0.5);
+
+ reference = Polynomial.randomPolynomial(random, 8);
+ checkValues(reference, 0.1, -1.0, 1.0, 100, 2.0e-3);
+ checkOrder(reference, Math.PI, 0.05, 0.1, 10, 90415.25, 0.75);
+
+ }
+
+ public void testHugeDifferentialsFunction() {
+ ReferenceFunction reference = hugeDifferentialsFunction();
+ checkValues(reference, 0.05, 0.3, 0.7, 100, 0.005);
+ checkOrder(reference, 0.5, 0.01, 0.012, 10, 55685, 256);
+ }
+
+ protected FiniteDifferencesDifferentiator buildDifferentiator(double h) {
+ return new SixPointsScheme(h);
+ }
+
+ protected int getOrder() {
+ return 6;
+ }
+
+}
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commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/differences/TwoPointsSchemeTest.java
URL:
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==============================================================================
---
commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/differences/TwoPointsSchemeTest.java
(added)
+++
commons/sandbox/nabla/trunk/src/test/java/org/apache/commons/nabla/differences/TwoPointsSchemeTest.java
Tue Apr 15 06:25:28 2008
@@ -0,0 +1,53 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements. See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License. You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.nabla.differences;
+
+import org.apache.commons.nabla.Polynomial;
+import org.apache.commons.nabla.ReferenceFunction;
+import org.apache.commons.nabla.differences.FiniteDifferencesDifferentiator;
+import org.apache.commons.nabla.differences.TwoPointsScheme;
+
+
+public class TwoPointsSchemeTest extends AbstractFiniteDifferencesTest {
+
+ public void testApproximatePolynomialDifferentiation() {
+
+ ReferenceFunction reference = Polynomial.randomPolynomial(random, 3);
+ checkValues(reference, 0.1, -1.0, 1.0, 100, 1.0e-2);
+ checkOrder(reference, Math.PI, 0.05, 0.1, 10, 4.356, 1.0e-3);
+
+ reference = Polynomial.randomPolynomial(random, 4);
+ checkValues(reference, 0.1, -1.0, 1.0, 100, 2.0e-2);
+ checkOrder(reference, Math.PI, 0.05, 0.1, 10, 28.078, 1.0e-3);
+
+ }
+
+ public void testHugeDifferentialsFunction() {
+ ReferenceFunction reference = hugeDifferentialsFunction();
+ checkValues(reference, 0.05, 0.3, 0.7, 100, 0.09);
+ checkOrder(reference, 0.5, 0.01, 0.02, 10, 42.907, 0.013);
+ }
+
+ protected FiniteDifferencesDifferentiator buildDifferentiator(double h) {
+ return new TwoPointsScheme(h);
+ }
+
+ protected int getOrder() {
+ return 2;
+ }
+
+}
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