|
111
|
1 -- CXA5A01.A
|
|
|
2 --
|
|
|
3 -- Grant of Unlimited Rights
|
|
|
4 --
|
|
|
5 -- Under contracts F33600-87-D-0337, F33600-84-D-0280, MDA903-79-C-0687,
|
|
|
6 -- F08630-91-C-0015, and DCA100-97-D-0025, the U.S. Government obtained
|
|
|
7 -- unlimited rights in the software and documentation contained herein.
|
|
|
8 -- Unlimited rights are defined in DFAR 252.227-7013(a)(19). By making
|
|
|
9 -- this public release, the Government intends to confer upon all
|
|
|
10 -- recipients unlimited rights equal to those held by the Government.
|
|
|
11 -- These rights include rights to use, duplicate, release or disclose the
|
|
|
12 -- released technical data and computer software in whole or in part, in
|
|
|
13 -- any manner and for any purpose whatsoever, and to have or permit others
|
|
|
14 -- to do so.
|
|
|
15 --
|
|
|
16 -- DISCLAIMER
|
|
|
17 --
|
|
|
18 -- ALL MATERIALS OR INFORMATION HEREIN RELEASED, MADE AVAILABLE OR
|
|
|
19 -- DISCLOSED ARE AS IS. THE GOVERNMENT MAKES NO EXPRESS OR IMPLIED
|
|
|
20 -- WARRANTY AS TO ANY MATTER WHATSOEVER, INCLUDING THE CONDITIONS OF THE
|
|
|
21 -- SOFTWARE, DOCUMENTATION OR OTHER INFORMATION RELEASED, MADE AVAILABLE
|
|
|
22 -- OR DISCLOSED, OR THE OWNERSHIP, MERCHANTABILITY, OR FITNESS FOR A
|
|
|
23 -- PARTICULAR PURPOSE OF SAID MATERIAL.
|
|
|
24 --*
|
|
|
25 --
|
|
|
26 -- OBJECTIVE:
|
|
|
27 -- Check that the functions Sin and Sinh provide correct results.
|
|
|
28 --
|
|
|
29 -- TEST DESCRIPTION:
|
|
|
30 -- This test examines both the version of Sin and Sinh resulting from
|
|
|
31 -- the instantiation of the Ada.Numerics.Generic_Elementary_Functions
|
|
|
32 -- with a type derived from type Float, as well as the preinstantiated
|
|
|
33 -- version of this package for type Float.
|
|
|
34 -- Prescribed results, as well as instances prescribed to raise
|
|
|
35 -- exceptions, are examined in the test cases. In addition,
|
|
|
36 -- certain evaluations are performed where the actual function result
|
|
|
37 -- is compared with the expected result (within an epsilon range of
|
|
|
38 -- accuracy).
|
|
|
39 --
|
|
|
40 -- TEST FILES:
|
|
|
41 -- The following files comprise this test:
|
|
|
42 --
|
|
|
43 -- FXA5A00.A (foundation code)
|
|
|
44 -- CXA5A01.A
|
|
|
45 --
|
|
|
46 --
|
|
|
47 -- CHANGE HISTORY:
|
|
|
48 -- 06 Mar 95 SAIC Initial prerelease version.
|
|
|
49 -- 13 Jun 95 SAIC Incorporated use of Dont_Optimize procedure, and
|
|
|
50 -- use of Result_Within_Range function overloaded for
|
|
|
51 -- FXA5A00.New_Float_Type.
|
|
|
52 -- 26 Jun 98 EDS Protected exception tests by first testing
|
|
|
53 -- for 'Machine_Overflows
|
|
|
54 --!
|
|
|
55
|
|
|
56 with Ada.Numerics.Elementary_Functions;
|
|
|
57 with Ada.Numerics.Generic_Elementary_Functions;
|
|
|
58 with FXA5A00;
|
|
|
59 with Report;
|
|
|
60
|
|
|
61 procedure CXA5A01 is
|
|
|
62 begin
|
|
|
63
|
|
|
64 Report.Test ("CXA5A01", "Check that the functions Sin and Sinh provide " &
|
|
|
65 "correct results");
|
|
|
66
|
|
|
67 Test_Block:
|
|
|
68 declare
|
|
|
69
|
|
|
70 use Ada.Numerics;
|
|
|
71 use FXA5A00;
|
|
|
72
|
|
|
73 package GEF is new Ada.Numerics.Generic_Elementary_Functions(New_Float);
|
|
|
74 package EF renames Ada.Numerics.Elementary_Functions;
|
|
|
75
|
|
|
76 The_Result : Float;
|
|
|
77 New_Float_Result : New_Float;
|
|
|
78
|
|
|
79 procedure Dont_Optimize_Float is new Dont_Optimize(Float);
|
|
|
80 procedure Dont_Optimize_New_Float is new Dont_Optimize(New_Float);
|
|
|
81
|
|
|
82 begin
|
|
|
83
|
|
|
84 -- Testing of Sin Function, both instantiated and pre-instantiated
|
|
|
85 -- version.
|
|
|
86
|
|
|
87 -- Check that no exception occurs on computing the Sin with very
|
|
|
88 -- large (positive and negative) input values.
|
|
|
89
|
|
|
90 begin
|
|
|
91 New_Float_Result := GEF.Sin (New_Float(FXA5A00.Large));
|
|
|
92 Dont_Optimize_New_Float(New_Float_Result, 1);
|
|
|
93 exception
|
|
|
94 when others =>
|
|
|
95 Report.Failed("Unexpected exception on GEF.Sin with large " &
|
|
|
96 "positive value");
|
|
|
97 end;
|
|
|
98
|
|
|
99 begin
|
|
|
100 The_Result := EF.Sin (FXA5A00.Minus_Large);
|
|
|
101 Dont_Optimize_Float(The_Result, 2);
|
|
|
102 exception
|
|
|
103 when others =>
|
|
|
104 Report.Failed("Unexpected exception on GEF.Sin with large " &
|
|
|
105 "negative value");
|
|
|
106 end;
|
|
|
107
|
|
|
108
|
|
|
109 -- Test of Sin for prescribed result at zero.
|
|
|
110
|
|
|
111 if GEF.Sin (0.0) /= 0.0 or
|
|
|
112 EF.Sin (0.0) /= 0.0
|
|
|
113 then
|
|
|
114 Report.Failed("Incorrect value returned from Sin(0.0)");
|
|
|
115 end if;
|
|
|
116
|
|
|
117
|
|
|
118 -- Test of Sin with expected result value between 0.0 and 1.0.
|
|
|
119
|
|
|
120 if not (GEF.Sin (Ada.Numerics.Pi/4.0) < 1.0) or
|
|
|
121 not ( EF.Sin (Ada.Numerics.Pi/4.0) < 1.0) or
|
|
|
122 not FXA5A00.Result_Within_Range(GEF.Sin(0.35), 0.343, 0.001) or
|
|
|
123 not FXA5A00.Result_Within_Range( EF.Sin(1.18), 0.924, 0.001)
|
|
|
124 then
|
|
|
125 Report.Failed("Incorrect value returned from Sin function when " &
|
|
|
126 "the expected result is between 0.0 and 1.0");
|
|
|
127 end if;
|
|
|
128
|
|
|
129
|
|
|
130 -- Test of Sin with expected result value between -1.0 and 0.0.
|
|
|
131
|
|
|
132 if not (GEF.Sin (-Ada.Numerics.Pi/4.0) > -1.0) or
|
|
|
133 not ( EF.Sin (-Ada.Numerics.Pi/4.0) > -1.0) or
|
|
|
134 not FXA5A00.Result_Within_Range(GEF.Sin(-0.24), -0.238, 0.001) or
|
|
|
135 not FXA5A00.Result_Within_Range( EF.Sin(-1.00), -0.841, 0.001)
|
|
|
136 then
|
|
|
137 Report.Failed("Incorrect value returned from Sin function when " &
|
|
|
138 "the expected result is between -1.0 and 0.0");
|
|
|
139 end if;
|
|
|
140
|
|
|
141
|
|
|
142 -- Testing of the Sin function with Cycle parameter.
|
|
|
143
|
|
|
144 -- Check that Argument_Error is raised when the value of the Cycle
|
|
|
145 -- parameter is zero.
|
|
|
146
|
|
|
147 begin
|
|
|
148 New_Float_Result := GEF.Sin (X => 1.0, Cycle => 0.0);
|
|
|
149 Report.Failed("Argument_Error not raised by GEF.Sin function " &
|
|
|
150 "when the Cycle parameter is zero");
|
|
|
151 Dont_Optimize_New_Float(New_Float_Result, 3);
|
|
|
152 exception
|
|
|
153 when Ada.Numerics.Argument_Error => null; -- OK, expected exception.
|
|
|
154 when others =>
|
|
|
155 Report.Failed("Unexpected exception raised by GEF.Sin function " &
|
|
|
156 "when the Cycle parameter is zero");
|
|
|
157 end;
|
|
|
158
|
|
|
159 begin
|
|
|
160 The_Result := EF.Sin (X => 0.34, Cycle => 0.0);
|
|
|
161 Report.Failed("Argument_Error not raised by EF.Sin function when " &
|
|
|
162 "the Cycle parameter is zero");
|
|
|
163 Dont_Optimize_Float(The_Result, 4);
|
|
|
164 exception
|
|
|
165 when Ada.Numerics.Argument_Error => null; -- OK, expected exception.
|
|
|
166 when others =>
|
|
|
167 Report.Failed("Unexpected exception raised by EF.Sin function " &
|
|
|
168 "when the Cycle parameter is zero");
|
|
|
169 end;
|
|
|
170
|
|
|
171 -- Check that Argument_Error is raised when the value of the Cycle
|
|
|
172 -- parameter is negative.
|
|
|
173
|
|
|
174 begin
|
|
|
175 New_Float_Result := GEF.Sin (X => 0.45, Cycle => -1.0);
|
|
|
176 Report.Failed("Argument_Error not raised by GEF.Sin function " &
|
|
|
177 "when the Cycle parameter is negative");
|
|
|
178 Dont_Optimize_New_Float(New_Float_Result, 5);
|
|
|
179 exception
|
|
|
180 when Ada.Numerics.Argument_Error => null; -- OK, expected exception.
|
|
|
181 when others =>
|
|
|
182 Report.Failed("Unexpected exception raised by GEF.Sin function " &
|
|
|
183 "when the Cycle parameter is negative");
|
|
|
184 end;
|
|
|
185
|
|
|
186 begin
|
|
|
187 The_Result := EF.Sin (X => 0.10, Cycle => -4.0);
|
|
|
188 Report.Failed("Argument_Error not raised by EF.Sin function when " &
|
|
|
189 "the Cycle parameter is negative");
|
|
|
190 Dont_Optimize_Float(The_Result, 6);
|
|
|
191 exception
|
|
|
192 when Ada.Numerics.Argument_Error => null; -- OK, expected exception.
|
|
|
193 when others =>
|
|
|
194 Report.Failed("Unexpected exception raised by EF.Sin function " &
|
|
|
195 "when the Cycle parameter is negative");
|
|
|
196 end;
|
|
|
197
|
|
|
198
|
|
|
199 -- Check that no exception occurs on computing the Sin with very
|
|
|
200 -- large (positive and negative) input values and Cycle parameter.
|
|
|
201
|
|
|
202 begin
|
|
|
203 New_Float_Result := GEF.Sin (New_Float(FXA5A00.Large), 360.0);
|
|
|
204 Dont_Optimize_New_Float(New_Float_Result, 7);
|
|
|
205 exception
|
|
|
206 when others =>
|
|
|
207 Report.Failed("Unexpected exception on GEF.Sin with large " &
|
|
|
208 "positive value and Cycle parameter");
|
|
|
209 end;
|
|
|
210
|
|
|
211 begin
|
|
|
212 The_Result := EF.Sin (FXA5A00.Minus_Large, 720.0);
|
|
|
213 Dont_Optimize_Float(The_Result, 8);
|
|
|
214 exception
|
|
|
215 when others =>
|
|
|
216 Report.Failed("Unexpected exception on EF.Sin with large " &
|
|
|
217 "negative value and Cycle parameter");
|
|
|
218 end;
|
|
|
219
|
|
|
220
|
|
|
221 -- Test of Sin with Cycle parameter for prescribed result at zero.
|
|
|
222
|
|
|
223 if GEF.Sin (0.0, 360.0) /= 0.0 or
|
|
|
224 EF.Sin (0.0, 180.0) /= 0.0
|
|
|
225 then
|
|
|
226 Report.Failed("Incorrect value returned from Sin function with " &
|
|
|
227 "cycle parameter for a zero input parameter value");
|
|
|
228 end if;
|
|
|
229
|
|
|
230
|
|
|
231 -- Tests of Sin function with Cycle parameter for prescribed results.
|
|
|
232
|
|
|
233 if GEF.Sin(0.0, 360.0) /= 0.0 or
|
|
|
234 EF.Sin(180.0, 360.0) /= 0.0 or
|
|
|
235 GEF.Sin(90.0, 360.0) /= 1.0 or
|
|
|
236 EF.Sin(450.0, 360.0) /= 1.0 or
|
|
|
237 GEF.Sin(270.0, 360.0) /= -1.0 or
|
|
|
238 EF.Sin(630.0, 360.0) /= -1.0
|
|
|
239 then
|
|
|
240 Report.Failed("Incorrect result from the Sin function with " &
|
|
|
241 "various cycle values for prescribed results");
|
|
|
242 end if;
|
|
|
243
|
|
|
244
|
|
|
245 -- Testing of Sinh Function, both instantiated and pre-instantiated
|
|
|
246 -- version.
|
|
|
247
|
|
|
248 -- Test for Constraint_Error on parameter with large positive magnitude.
|
|
|
249
|
|
|
250 begin
|
|
|
251
|
|
|
252 if New_Float'Machine_Overflows then
|
|
|
253 New_Float_Result := GEF.Sinh (New_Float(FXA5A00.Large));
|
|
|
254 Report.Failed("Constraint_Error not raised when the GEF.Sinh " &
|
|
|
255 "function is provided a parameter with a large " &
|
|
|
256 "positive value");
|
|
|
257 Dont_Optimize_New_Float(New_Float_Result, 9);
|
|
|
258 end if;
|
|
|
259
|
|
|
260 exception
|
|
|
261 when Constraint_Error => null; -- OK, expected exception.
|
|
|
262 when others =>
|
|
|
263 Report.Failed("Constraint_Error not raised when the GEF.Sinh " &
|
|
|
264 "function is provided a parameter with a large " &
|
|
|
265 "positive value");
|
|
|
266 end;
|
|
|
267
|
|
|
268 -- Test for Constraint_Error on parameter with large negative magnitude.
|
|
|
269
|
|
|
270 begin
|
|
|
271
|
|
|
272 if Float'Machine_Overflows then
|
|
|
273 The_Result := EF.Sinh (FXA5A00.Minus_Large);
|
|
|
274 Report.Failed("Constraint_Error not raised when the EF.Sinh " &
|
|
|
275 "function is provided a parameter with a " &
|
|
|
276 "large negative value");
|
|
|
277 Dont_Optimize_Float(The_Result, 10);
|
|
|
278 end if;
|
|
|
279
|
|
|
280 exception
|
|
|
281 when Constraint_Error => null; -- OK, expected exception.
|
|
|
282 when others =>
|
|
|
283 Report.Failed("Constraint_Error not raised when the EF.Sinh " &
|
|
|
284 "function is provided a parameter with a " &
|
|
|
285 "large negative value");
|
|
|
286 end;
|
|
|
287
|
|
|
288
|
|
|
289 -- Test that no exception occurs when the Sinh function is provided a
|
|
|
290 -- very small positive or negative value.
|
|
|
291
|
|
|
292 begin
|
|
|
293 New_Float_Result := GEF.Sinh (New_Float(FXA5A00.Small));
|
|
|
294 Dont_Optimize_New_Float(New_Float_Result, 11);
|
|
|
295 exception
|
|
|
296 when others =>
|
|
|
297 Report.Failed("Unexpected exception on GEF.Sinh with a very" &
|
|
|
298 "small positive value");
|
|
|
299 end;
|
|
|
300
|
|
|
301 begin
|
|
|
302 The_Result := EF.Sinh (-FXA5A00.Small);
|
|
|
303 Dont_Optimize_Float(The_Result, 12);
|
|
|
304 exception
|
|
|
305 when others =>
|
|
|
306 Report.Failed("Unexpected exception on EF.Sinh with a very" &
|
|
|
307 "small negative value");
|
|
|
308 end;
|
|
|
309
|
|
|
310
|
|
|
311 -- Test for prescribed 0.0 result of Function Sinh with 0.0 parameter.
|
|
|
312
|
|
|
313 if GEF.Sinh (0.0) /= 0.0 or
|
|
|
314 EF.Sinh (0.0) /= 0.0
|
|
|
315 then
|
|
|
316 Report.Failed("Incorrect value returned from Sinh(0.0)");
|
|
|
317 end if;
|
|
|
318
|
|
|
319
|
|
|
320 -- Test of Sinh function with various input parameters.
|
|
|
321
|
|
|
322 if not FXA5A00.Result_Within_Range(GEF.Sinh(0.01), 0.010, 0.001) or
|
|
|
323 not FXA5A00.Result_Within_Range( EF.Sinh(0.61), 0.649, 0.001) or
|
|
|
324 not FXA5A00.Result_Within_Range(GEF.Sinh(1.70), 2.65, 0.01) or
|
|
|
325 not FXA5A00.Result_Within_Range( EF.Sinh(3.15), 11.65, 0.01)
|
|
|
326 then
|
|
|
327 Report.Failed("Incorrect result returned from Sinh function " &
|
|
|
328 "with various input parameters");
|
|
|
329 end if;
|
|
|
330
|
|
|
331
|
|
|
332 exception
|
|
|
333 when others => Report.Failed ("Exception raised in Test_Block");
|
|
|
334 end Test_Block;
|
|
|
335
|
|
|
336 Report.Result;
|
|
|
337
|
|
|
338 end CXA5A01;
|
