1 /** @file powerlaws.cpp
3 * Tests for power laws. You shouldn't try to draw much inspiration from
4 * this code, it is a sanity check rather deeply rooted in GiNaC's classes. */
7 * GiNaC Copyright (C) 1999 Johannes Gutenberg University Mainz, Germany
9 * This program is free software; you can redistribute it and/or modify
10 * it under the terms of the GNU General Public License as published by
11 * the Free Software Foundation; either version 2 of the License, or
12 * (at your option) any later version.
14 * This program is distributed in the hope that it will be useful,
15 * but WITHOUT ANY WARRANTY; without even the implied warranty of
16 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
17 * GNU General Public License for more details.
19 * You should have received a copy of the GNU General Public License
20 * along with this program; if not, write to the Free Software
21 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
24 #include <ginac/ginac.h>
25 using namespace GiNaC;
27 static unsigned powerlaws1(void)
35 ex e1=power(power(x,a),b);
36 if (!(is_ex_exactly_of_type(e1,power) &&
37 is_ex_exactly_of_type(e1.op(0),power) &&
38 is_ex_exactly_of_type(e1.op(0).op(0),symbol) &&
39 is_ex_exactly_of_type(e1.op(0).op(1),symbol) &&
40 is_ex_exactly_of_type(e1.op(1),symbol) &&
41 e1.is_equal(power(power(x,a),b)) )) {
42 clog << "(x^a)^b, x,a,b symbolic wrong" << endl;
43 clog << "returned: " << e1 << endl;
48 if (!(is_ex_exactly_of_type(e2,power) &&
49 is_ex_exactly_of_type(e2.op(0),symbol) &&
50 is_ex_exactly_of_type(e2.op(1),symbol) &&
51 e2.is_equal(power(x,b)) )) {
52 clog << "(x^a)^b, x,b symbolic, a==1 wrong" << endl;
53 clog << "returned: " << e2 << endl;
58 if (!(is_ex_exactly_of_type(e3,power) &&
59 is_ex_exactly_of_type(e3.op(0),power) &&
60 is_ex_exactly_of_type(e3.op(0).op(0),symbol) &&
61 is_ex_exactly_of_type(e3.op(0).op(1),numeric) &&
62 is_ex_exactly_of_type(e3.op(1),symbol) &&
63 e3.is_equal(power(power(x,-1),b)) )) {
64 clog << "(x^a)^b, x,b symbolic, a==-1 wrong" << endl;
65 clog << "returned: " << e3 << endl;
69 ex e4=e1.subs(lst(a==-1,b==2.5));
70 if (!(is_ex_exactly_of_type(e4,power) &&
71 is_ex_exactly_of_type(e4.op(0),power) &&
72 is_ex_exactly_of_type(e4.op(0).op(0),symbol) &&
73 is_ex_exactly_of_type(e4.op(0).op(1),numeric) &&
74 is_ex_exactly_of_type(e4.op(1),numeric) &&
75 e4.is_equal(power(power(x,-1),2.5)) )) {
76 clog << "(x^a)^b, x symbolic, a==-1, b==2.5 wrong" << endl;
77 clog << "returned: " << e4 << endl;
81 ex e5=e1.subs(lst(a==-0.9,b==2.5));
82 if (!(is_ex_exactly_of_type(e5,power) &&
83 is_ex_exactly_of_type(e5.op(0),symbol) &&
84 is_ex_exactly_of_type(e5.op(1),numeric) &&
85 e5.is_equal(power(x,numeric(-0.9)*numeric(2.5))) )) {
86 clog << "(x^a)^b, x symbolic, a==-0.9, b==2.5 wrong" << endl;
87 clog << "returned: " << e5 << endl;
91 ex e6=e1.subs(lst(a==numeric(3)+numeric(5.3)*I,b==-5));
92 if (!(is_ex_exactly_of_type(e6,power) &&
93 is_ex_exactly_of_type(e6.op(0),symbol) &&
94 is_ex_exactly_of_type(e6.op(1),numeric) &&
95 e6.is_equal(power(x,numeric(-15)+numeric(5.3)*numeric(-5)*I)) )) {
96 clog << "(x^a)^b, x symbolic, a==3+5.3*I, b==-5 wrong" << endl;
97 clog << "returned: " << e6 << endl;
103 static unsigned powerlaws2(void)
105 // (a*x)^b = a^b * x^b
112 if (!(is_ex_exactly_of_type(e1,power) &&
113 is_ex_exactly_of_type(e1.op(0),mul) &&
114 (e1.op(0).nops()==2) &&
115 is_ex_exactly_of_type(e1.op(0).op(0),symbol) &&
116 is_ex_exactly_of_type(e1.op(0).op(1),symbol) &&
117 is_ex_exactly_of_type(e1.op(1),symbol) &&
118 e1.is_equal(power(a*x,b)) )) {
119 clog << "(a*x)^b, x,a,b symbolic wrong" << endl;
120 clog << "returned: " << e1 << endl;
125 if (!(is_ex_exactly_of_type(e2,power) &&
126 is_ex_exactly_of_type(e2.op(0),mul) &&
127 (e2.op(0).nops()==2) &&
128 is_ex_exactly_of_type(e2.op(0).op(0),symbol) &&
129 is_ex_exactly_of_type(e2.op(0).op(1),numeric) &&
130 is_ex_exactly_of_type(e2.op(1),symbol) &&
131 e2.is_equal(power(3*x,b)) )) {
132 clog << "(a*x)^b, x,b symbolic, a==3 wrong" << endl;
133 clog << "returned: " << e2 << endl;
137 ex e3=e1.subs(b==-3);
138 if (!(is_ex_exactly_of_type(e3,mul) &&
140 is_ex_exactly_of_type(e3.op(0),power) &&
141 is_ex_exactly_of_type(e3.op(1),power) &&
142 e3.is_equal(power(a,-3)*power(x,-3)) )) {
143 clog << "(a*x)^b, x,a symbolic, b==-3 wrong" << endl;
144 clog << "returned: " << e3 << endl;
148 ex e4=e1.subs(b==4.5);
149 if (!(is_ex_exactly_of_type(e4,power) &&
150 is_ex_exactly_of_type(e4.op(0),mul) &&
151 (e4.op(0).nops()==2) &&
152 is_ex_exactly_of_type(e4.op(0).op(0),symbol) &&
153 is_ex_exactly_of_type(e4.op(0).op(1),symbol) &&
154 is_ex_exactly_of_type(e4.op(1),numeric) &&
155 e4.is_equal(power(a*x,4.5)) )) {
156 clog << "(a*x)^b, x,a symbolic, b==4.5 wrong" << endl;
157 clog << "returned: " << e4 << endl;
161 ex e5=e1.subs(lst(a==3.2,b==3+numeric(5)*I));
162 if (!(is_ex_exactly_of_type(e5,mul) &&
164 is_ex_exactly_of_type(e5.op(0),power) &&
165 is_ex_exactly_of_type(e5.op(1),numeric) &&
166 e5.is_equal(power(x,3+numeric(5)*I)*
167 power(numeric(3.2),3+numeric(5)*I)) )) {
168 clog << "(a*x)^b, x symbolic, a==3.2, b==3+5*I wrong" << endl;
169 clog << "returned: " << e5 << endl;
173 ex e6=e1.subs(lst(a==-3.2,b==3+numeric(5)*I));
174 if (!(is_ex_exactly_of_type(e6,mul) &&
176 is_ex_exactly_of_type(e6.op(0),power) &&
177 is_ex_exactly_of_type(e6.op(1),numeric) &&
178 e6.is_equal(power(-x,3+numeric(5)*I)*
179 power(numeric(3.2),3+numeric(5)*I)) )) {
180 clog << "(a*x)^b, x symbolic, a==-3.2, b==3+5*I wrong" << endl;
181 clog << "returned: " << e6 << endl;
185 ex e7=e1.subs(lst(a==3+numeric(5)*I,b==3.2));
186 if (!(is_ex_exactly_of_type(e7,power) &&
187 is_ex_exactly_of_type(e7.op(0),mul) &&
188 (e7.op(0).nops()==2) &&
189 is_ex_exactly_of_type(e7.op(0).op(0),symbol) &&
190 is_ex_exactly_of_type(e7.op(0).op(1),numeric) &&
191 is_ex_exactly_of_type(e7.op(1),numeric) &&
192 e7.is_equal(power((3+numeric(5)*I)*x,3.2)) )) {
193 clog << "(a*x)^b, x symbolic, a==3+5*I, b==3.2 wrong" << endl;
194 clog << "returned: " << e7 << endl;
201 static unsigned powerlaws3(void)
203 // numeric evaluation
205 ex e1=power(numeric(4),numeric(1)/numeric(2));
207 clog << "4^(1/2) wrongly returned " << e1 << endl;
211 ex e2=power(numeric(27),numeric(2)/numeric(3));
213 clog << "27^(2/3) wrongly returned " << e2 << endl;
217 ex e3=power(numeric(5),numeric(1)/numeric(2));
218 if (!(is_ex_exactly_of_type(e3,power) &&
219 e3.op(0).is_equal(numeric(5)) &&
220 e3.op(1).is_equal(numeric(1)/numeric(2)) )) {
221 clog << "5^(1/2) wrongly returned " << e3 << endl;
225 ex e4=power(numeric(5),evalf(numeric(1)/numeric(2)));
226 if (!(is_ex_exactly_of_type(e4,numeric))) {
227 clog << "5^(0.5) wrongly returned " << e4 << endl;
231 ex e5=power(evalf(numeric(5)),numeric(1)/numeric(2));
232 if (!(is_ex_exactly_of_type(e5,numeric))) {
233 clog << "5.0^(1/2) wrongly returned " << e5 << endl;
240 static unsigned powerlaws4(void)
242 // test for mul::eval()
248 ex f1=power(a*b,ex(1)/ex(2));
249 ex f2=power(a*b,ex(3)/ex(2));
258 clog << "(a*b)^(1/2)*(a*b)^(3/2)*c wrongly returned " << e1 << endl;
264 unsigned powerlaws(void)
268 cout << "checking power laws..." << flush;
269 clog << "---------power laws:" << endl;
271 result += powerlaws1();
272 result += powerlaws2();
273 result += powerlaws3();
274 result += powerlaws4();
278 clog << "(no output)" << endl;