| /* |
| * 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 Maxima script allows the creation of reference data for the Gamma |
| * distribution. |
| */ |
| |
| /* |
| * Set floating-point accuracy to four times the double precision. |
| */ |
| fpprec : 64; |
| |
| /* |
| * Probability density function for Gamma distribution with shape parameter a |
| * and scale parameter b. |
| */ |
| p(x, a, b) := (x / b)**a * exp(-x / b) / x / gamma(a); |
| |
| /* |
| * Make sure x is a list of exactly representable doubles: use only power-of-two |
| * fractions of unity. |
| */ |
| out : openw("gamma-distribution-shape-1.csv"); |
| x : float(makelist(i / 32, i, 1, 3200)); |
| y : p(bfloat(x), 1, 1); |
| printf(out, "~{~h, ~h~%~}", join(x, y)); |
| close(out); |
| |
| out : openw("gamma-distribution-shape-8.csv"); |
| x : float(makelist(i / 32, i, 1, 3200)); |
| y : p(bfloat(x), 8, 1); |
| printf(out, "~{~h, ~h~%~}", join(x, y)); |
| close(out); |
| |
| out : openw("gamma-distribution-shape-10.csv"); |
| x : float(makelist(i / 4, i, 1, 400)); |
| y : p(bfloat(x), 10, 1); |
| printf(out, "~{~h, ~h~%~}", join(x, y)); |
| close(out); |
| |
| out : openw("gamma-distribution-shape-100.csv"); |
| x : float(append(makelist(i / 32, i, 1, 32 * 3), makelist(i + 3, i, 1, 297))); |
| y : p(bfloat(x), 100, 1); |
| printf(out, "~{~h, ~h~%~}", join(x, y)); |
| close(out); |
| |
| out : openw("gamma-distribution-shape-142.csv"); |
| x : float(append(makelist(i / 32, i, 1, 32 * 10), makelist(i + 10, i, 1, 440))); |
| y : p(bfloat(x), 142, 1); |
| printf(out, "~{~h, ~h~%~}", join(x, y)); |
| close(out); |
| |
| out : openw("gamma-distribution-shape-1000.csv"); |
| x : float(append(makelist(i / 32, i, 1, 32 * 10), makelist(i + 10, i, 1, 2990))); |
| y : p(bfloat(x), 1000, 1); |
| printf(out, "~{~h, ~h~%~}", join(x, y)); |
| close(out); |
| |