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tradoptest_43.cpp
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1 // @HEADER
2 // *****************************************************************************
3 // Sacado Package
4 //
5 // Copyright 2006 NTESS and the Sacado contributors.
6 // SPDX-License-Identifier: LGPL-2.1-or-later
7 // *****************************************************************************
8 // @HEADER
9 
10 /* Try to test all combinations of types and operations */
11 
12 
13 
14 #define ADT_RAD Sacado::Rad::
15 
16 
17 
18 #include "Sacado_trad.hpp"
19 #ifdef _MSC_VER
20 #include "winmath.h"
21 #endif
22 #include <cstdio>
23 
24 using std::printf;
25 
26 
27 
28 typedef ADT_RAD IndepADvar<double> AI;
29 
30 typedef ADT_RAD ADvar<double> A;
31 
32 typedef ADT_RAD ConstADvar<double> C;
33 
34 typedef ADT_RAD ADvari<double> Ai;
35 
36 typedef const ADT_RAD IndepADvar<double> cAI;
37 
38 typedef const ADT_RAD ADvar<double> cA;
39 
40 typedef const ADT_RAD ConstADvar<double> cC;
41 
42 typedef const ADT_RAD ADvari<double> cAi;
43 
44 static int rc;
45 
46 
47 
48 /* This is to be run through an awk program that changes lines */
49 
50 /* with "BINTEST" or "UNOPTEST" at the beginning of the line into */
51 
52 /* a the desired C++ (which we can then inspect). */
53 
54 
55 
56  void
57 
58 botch(const char *what, double wanted, double got)
59 
60 {
61 
62  printf("%s: expected %g, got %g, diff = %.2g\n", what, wanted, got, wanted-got);
63 
64  rc = 1;
65 
66  }
67 
68 
69 
70  const double tol = 5e-16;
71 
72 
73 
74  int
75 
76 differ(double a, double b)
77 
78 {
79 
80  double d = a - b;
81 
82  if (d < 0.)
83 
84  d = -d;
85 
86  if (a < 0.)
87 
88  a = -a;
89 
90  if (b < 0.)
91 
92  b = -b;
93 
94  if (a < b)
95 
96  a = b;
97 
98  if (a > 0.)
99 
100  d /= a;
101 
102  return d > tol;
103 
104  }
105 
106 
107 
108 #ifndef RAD_EQ_ALIAS
109 
110 #define Plus_dx 1.
111 
112 #else
113 
114 #ifdef RAD_AUTO_AD_Const
115 
116 #define Plus_dx 1.
117 
118 #else
119 
120 #define Plus_dx 0.
121 
122 #endif
123 
124 #endif
125 
126 
127 
128  int
129 
130 main(void)
131 
132 {
133 
134  AI xAI, yAI;
135 
136  A fA, xA, yA;
137 
138  C xC, yC;
139 
140  double dx, f, xd;
141 
142 
143 
144  rc = 0;
145 
146 
147  /**** Test of acosh ****/
148 
149  xd = 1.25; f = acosh(1.25); dx = 1.3333333333333333;
150  xAI = xd;
151  fA = acosh(xAI);
152  A::Gradcomp();
153  if (differ(fA.val(), f)) botch("fA = acosh(xAI)", f, fA.val());
154  else if (differ(xAI.adj(), dx)) botch("d acosh(xAI)/dx", dx, xAI.adj());
155  {
156  A::aval_reset();
157  cAI xcAI(xd);
158  fA = acosh(xcAI);
159  A::Gradcomp();
160  if (differ(fA.val(), f)) botch("fA = acosh(xcAI)", f, fA.val());
161  else if (differ(xcAI.adj(), dx)) botch("d acosh(xcAI)/dx", dx, xcAI.adj());
162  }
163  xA = xd;
164  fA = acosh(xA);
165  A::Gradcomp();
166  if (differ(fA.val(), f)) botch("fA = acosh(xA)", f, fA.val());
167  else if (differ(xA.adj(), dx)) botch("d acosh(xA)/dx", dx, xA.adj());
168  {
169  A::aval_reset();
170  cA xcA(xd);
171  fA = acosh(xcA);
172  A::Gradcomp();
173  if (differ(fA.val(), f)) botch("fA = acosh(xcA)", f, fA.val());
174  else if (differ(xcA.adj(), dx)) botch("d acosh(xcA)/dx", dx, xcA.adj());
175  }
176  xC = xd;
177  fA = acosh(xC);
178  A::Gradcomp();
179  if (differ(fA.val(), f)) botch("fA = acosh(xC)", f, fA.val());
180  else if (differ(xC.adj(), dx)) botch("d acosh(xC)/dx", dx, xC.adj());
181  {
182  A::aval_reset();
183  cC xcC(xd);
184  fA = acosh(xcC);
185  A::Gradcomp();
186  if (differ(fA.val(), f)) botch("fA = acosh(xcC)", f, fA.val());
187  else if (differ(xcC.adj(), dx)) botch("d acosh(xcC)/dx", dx, xcC.adj());
188  }
189  {
190  cAi xcAi(xd);
191  fA = acosh(xcAi);
192  A::Gradcomp();
193  if (differ(fA.val(), f)) botch("fA = acosh(xcAi)", f, fA.val());
194  else if (differ(xcAi.aval, dx)) botch("d acosh(xcAi)/dx", dx, xcAi.aval);
195  }
196  {
197  A::aval_reset();
198  cAi xcAi(xd);
199  fA = acosh(xcAi);
200  A::Gradcomp();
201  if (differ(fA.val(), f)) botch("fA = acosh(xcAi)", f, fA.val());
202  else if (differ(xcAi.aval, dx)) botch("d acosh(xcAi)/dx", dx, xcAi.aval);
203  }
204 
205 
206  if (!rc) // chatter for cppunit test, which cannot tolerate silence
207 
208  printf("OK\n");
209 
210  return rc;
211 
212  }
int botch(ExpectedAnswer *e, const char *partial, double got, double wanted)
void f()
expr expr dx(i)
ADT_RAD IndepADvar< double > AI
const ADT_RAD IndepADvar< double > cAI
#define ADT_RAD
#define Ai
Definition: Sacado_rad.hpp:555
static int rc
#define C(x)
#define A
Definition: Sacado_rad.hpp:552
int main()
Definition: ad_example.cpp:171
const ADT_RAD ADvari< double > cAi
static int differ(double a, double b)
Definition: hesopcheck.cpp:127
const ADT_RAD ConstADvar< double > cC
const double tol
acosh(expr.val())
#define AI
Definition: Sacado_rad.hpp:556
const ADT_RAD ADvar< double > cA