Maxima scripts to generate reference values for the gamma and logGamma

functions.


git-svn-id: https://svn.apache.org/repos/asf/commons/proper/math/trunk@1401171 13f79535-47bb-0310-9956-ffa450edef68

pom.xml

@@ -434,5 +434,18 @@
       </plugin>
     </plugins>
   </reporting>
+  <profiles>
+    <profile>
+      <id>fast</id>
+      <properties>
+        <skipTests>true</skipTests>
+<!--        <maven.javadoc.skip>true</maven.javadoc.skip>-->
+        <maven.clover.skip>true</maven.clover.skip>
+        <cobertura.skip>true</cobertura.skip>
+        <findbugs.skip>true</findbugs.skip>
+        <pmd.skip>true</pmd.skip>
+      </properties>
+    </profile>
+  </profiles>
 </project>
 

src/test/maxima/special/reference/gamma.mac

@@ -0,0 +1,63 @@
+/*
+ * 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.
+ */
+
+/*
+ * This script generates reference ("exact") values for the gamma function.
+ * The generated values are stored sequentially in a binary file, as follows
+ * x[0], f(x[0]), x[1], f(x[1]), ...
+ * where f is the function being sampled.
+ */
+kill(all);
+
+fpprec : 64;
+f(x) := gamma(x);
+
+sample(x, name) := block(
+  y : [],
+  for i : 1 while i <= length(x) do y : endcons(float(f(x[i])), y),
+  xy : join(float(x), y),
+  stream : openw_binary(name),
+  write_binary_data(xy, stream),
+  close(stream)
+  );
+
+x : makelist(bfloat(i / 1024), i, -5119, -4097);
+sample(x, "gamma-01.dat");
+
+x : makelist(bfloat(i / 1024), i, -4095, -3073);
+sample(x, "gamma-02.dat");
+
+x : makelist(bfloat(i / 1024), i, -3071, -2049);
+sample(x, "gamma-03.dat");
+
+x : makelist(bfloat(i / 1024), i, -2047, -1025);
+sample(x, "gamma-04.dat");
+
+x : makelist(bfloat(i / 1024), i, -1023, -1);
+sample(x, "gamma-05.dat");
+
+x : makelist(bfloat(i / 1024), i, 1, 8192);
+sample(x, "gamma-06.dat");
+
+x : makelist(bfloat(i / 64), i, 513, 9024);
+sample(x, "gamma-07.dat");
+
+
+
+
+
+

src/test/maxima/special/reference/logGamma.mac

@@ -0,0 +1,49 @@
+/*
+ * 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.
+ */
+
+/*
+ * This script generates reference ("exact") values for the logGamma function.
+ * The generated values are stored sequentially in a binary file, as follows
+ * x[0], f(x[0]), x[1], f(x[1]), ...
+ * where f is the function being sampled.
+ */
+ 
+kill(all);
+
+fpprec : 64;
+f(x) := log(gamma(x));
+
+sample(x, name) := block(
+  y : [],
+  for i : 1 while i <= length(x) do y : endcons(float(f(x[i])), y),
+  xy : join(float(x), y),
+  stream : openw_binary(name),
+  write_binary_data(xy, stream),
+  close(stream)
+  );
+
+x : append(makelist(bfloat(i / 1024), i, 1, 8192));
+sample(x, "logGamma-01.dat");
+
+x : makelist(bfloat(i / 8), i, 65, 8192);
+sample(x, "logGamma-02.dat");
+
+x : makelist(bfloat(i), i, 1025, 8192);
+sample(x, "logGamma-03.dat");
+
+x : makelist(bfloat(2**(i / 8)), i, 105, 8112);
+sample(x, "logGamma-04.dat");