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1 294 jeremybenn
-- CXA5A02.A
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--
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--                             Grant of Unlimited Rights
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--
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--     Under contracts F33600-87-D-0337, F33600-84-D-0280, MDA903-79-C-0687,
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--     F08630-91-C-0015, and DCA100-97-D-0025, the U.S. Government obtained
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--     unlimited rights in the software and documentation contained herein.
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--     Unlimited rights are defined in DFAR 252.227-7013(a)(19).  By making
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--     this public release, the Government intends to confer upon all
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--     recipients unlimited rights  equal to those held by the Government.
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--     These rights include rights to use, duplicate, release or disclose the
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--     released technical data and computer software in whole or in part, in
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--     any manner and for any purpose whatsoever, and to have or permit others
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--     to do so.
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--
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--                                    DISCLAIMER
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--
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--     ALL MATERIALS OR INFORMATION HEREIN RELEASED, MADE AVAILABLE OR
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--     DISCLOSED ARE AS IS.  THE GOVERNMENT MAKES NO EXPRESS OR IMPLIED
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--     WARRANTY AS TO ANY MATTER WHATSOEVER, INCLUDING THE CONDITIONS OF THE
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--     SOFTWARE, DOCUMENTATION OR OTHER INFORMATION RELEASED, MADE AVAILABLE
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--     OR DISCLOSED, OR THE OWNERSHIP, MERCHANTABILITY, OR FITNESS FOR A
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--     PARTICULAR PURPOSE OF SAID MATERIAL.
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--*
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--
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-- OBJECTIVE:
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--      Check that the functions Cos and Cosh provide correct results.
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--
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-- TEST DESCRIPTION:
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--      This test examines both the version of Cos and Cosh resulting from
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--      the instantiation of the Ada.Numerics.Generic_Elementary_Functions
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--      with type derived from type Float, as well as the pre-instantiated
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--      version of this package for type Float.
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--      Prescribed results, including instances prescribed to raise
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--      exceptions, are examined in the test cases.  In addition,
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--      certain evaluations are performed where the actual function result
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--      is compared with the expected result (within an epsilon range of
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--      accuracy).
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--
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-- TEST FILES:
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--      The following files comprise this test:
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--
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--         FXA5A00.A   (foundation code)
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--         CXA5A02.A
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--
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--
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-- CHANGE HISTORY:
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--      09 Mar 95   SAIC    Initial prerelease version.
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--      03 Apr 95   SAIC    Removed reference to derived type.
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--      13 Jun 95   SAIC    Incorporated use of Dont_Optimize procedure, and
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--                          use of Result_Within_Range function overloaded for
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--                          FXA5A00.New_Float_Type.
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--      28 Feb 97   PWB.CTA Removed checks specifying Cycle => 2.0 * Pi
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--      26 Jun 98   EDS     Protected exception checks by first testing
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--                          for 'Machine_Overflows.  Removed code deleted
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--                          by comment.
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-- CHANGE NOTE:
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--      According to Ken Dritz, author of the Numerics Annex of the RM,
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--      one should never specify the cycle 2.0*Pi for the trigonometric
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--      functions.  In particular, if the machine number for the first
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--      argument is not an exact multiple of the machine number for the
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--      explicit cycle, then the specified exact results cannot be
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--      reasonably expected.  The affected checks have been deleted.
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--!
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66
with Ada.Numerics.Elementary_Functions;
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with Ada.Numerics.Generic_Elementary_Functions;
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with FXA5A00;
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with Report;
70
 
71
procedure CXA5A02 is
72
begin
73
 
74
   Report.Test ("CXA5A02", "Check that the functions Cos and Cosh provide " &
75
                           "correct results");
76
 
77
   Test_Block:
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   declare
79
 
80
      use Ada.Numerics;
81
      use FXA5A00;
82
 
83
      package GEF is new Ada.Numerics.Generic_Elementary_Functions(New_Float);
84
      package  EF renames Ada.Numerics.Elementary_Functions;
85
 
86
      The_Result       : Float;
87
      New_Float_Result : New_Float;
88
 
89
      procedure Dont_Optimize_Float     is new Dont_Optimize(Float);
90
      procedure Dont_Optimize_New_Float is new Dont_Optimize(New_Float);
91
 
92
   begin
93
 
94
      -- Testing of Cos Function, both instantiated and pre-instantiated
95
      -- version.
96
 
97
      -- Check that no exception occurs on computing the Cos with very
98
      -- large (positive and negative) input values.
99
 
100
      begin
101
         New_Float_Result := GEF.Cos (New_Float(FXA5A00.Large));
102
         Dont_Optimize_New_Float(New_Float_Result, 1);
103
      exception
104
         when others =>
105
           Report.Failed("Unexpected exception on GEF.Cos with large " &
106
                         "positive value");
107
      end;
108
 
109
      begin
110
         The_Result := EF.Cos (FXA5A00.Minus_Large);
111
         Dont_Optimize_Float(The_Result, 2);
112
      exception
113
         when others =>
114
           Report.Failed("Unexpected exception on GEF.Cos with large " &
115
                         "negative value");
116
      end;
117
 
118
 
119
      -- Test of Cos for prescribed result at zero.
120
 
121
      if GEF.Cos (0.0) /= 1.0 or
122
          EF.Cos (0.0) /= 1.0
123
      then
124
         Report.Failed("Incorrect value returned from Cos(0.0)");
125
      end if;
126
 
127
 
128
      -- Test of Cos with expected result value between 1.0 and -1.0.
129
 
130
      if not (Result_Within_Range( EF.Cos(Ada.Numerics.Pi/3.0),
131
                                          0.500,
132
                                          0.001)                       and
133
              Result_Within_Range(GEF.Cos(0.6166), 0.816, 0.001)       and
134
              Result_Within_Range(GEF.Cos(0.1949), 0.981, 0.001)       and
135
              Result_Within_Range( EF.Cos(Ada.Numerics.Pi/2.0),
136
                                          0.00,
137
                                          0.001)                       and
138
              Result_Within_Range( EF.Cos(2.0*Ada.Numerics.Pi/3.0),
139
                                          -0.500,
140
                                          0.001)                       and
141
              Result_Within_Range(GEF.Cos(New_Float(Ada.Numerics.Pi)),
142
                                          -1.00,
143
                                           0.001))
144
      then
145
         Report.Failed("Incorrect value returned from Cos function when " &
146
                       "the expected result is between 1.0 and -1.0");
147
      end if;
148
 
149
 
150
      -- Testing of the Cos function with Cycle parameter.
151
 
152
      -- Check that Argument_Error is raised when the value of the Cycle
153
      -- parameter is zero.
154
 
155
      begin
156
         New_Float_Result := GEF.Cos (X => 1.0, Cycle => 0.0);
157
         Report.Failed("Argument_Error not raised by GEF.Cos function " &
158
                       "when the Cycle parameter is zero");
159
         Dont_Optimize_New_Float(New_Float_Result, 3);
160
      exception
161
         when Ada.Numerics.Argument_Error => null;  -- OK, expected exception.
162
         when others =>
163
            Report.Failed("Unexpected exception raised by GEF.cos function " &
164
                          "when the Cycle parameter is zero");
165
      end;
166
 
167
      begin
168
         The_Result := EF.Cos (X => 0.55, Cycle => 0.0);
169
         Report.Failed("Argument_Error not raised by EF.Cos function when " &
170
                       "the Cycle parameter is zero");
171
         Dont_Optimize_Float(The_Result, 4);
172
      exception
173
         when Ada.Numerics.Argument_Error => null;  -- OK, expected exception.
174
         when others =>
175
            Report.Failed("Unexpected exception raised by EF.Cos function " &
176
                          "when the Cycle parameter is zero");
177
      end;
178
 
179
      -- Check that Argument_Error is raised when the value of the Cycle
180
      -- parameter is negative.
181
 
182
      begin
183
         New_Float_Result := GEF.Cos (X => 0.45, Cycle => -2.0*Pi);
184
         Report.Failed("Argument_Error not raised by GEF.Cos function " &
185
                       "when the Cycle parameter is negative");
186
         Dont_Optimize_New_Float(New_Float_Result, 5);
187
      exception
188
         when Ada.Numerics.Argument_Error => null;  -- OK, expected exception.
189
         when others =>
190
            Report.Failed("Unexpected exception raised by GEF.Cos function " &
191
                          "when the Cycle parameter is negative");
192
      end;
193
 
194
      begin
195
         The_Result := EF.Cos (X => 0.10, Cycle => -Pi/2.0);
196
         Report.Failed("Argument_Error not raised by EF.Cos function when " &
197
                       "the Cycle parameter is negative");
198
         Dont_Optimize_Float(The_Result, 6);
199
      exception
200
         when Ada.Numerics.Argument_Error => null;  -- OK, expected exception.
201
         when others =>
202
            Report.Failed("Unexpected exception raised by EF.Cos function " &
203
                          "when the Cycle parameter is negative");
204
      end;
205
 
206
      -- Test of Cos with Cycle parameter for prescribed result at zero.
207
 
208
      if GEF.Cos (0.0, 360.0) /= 1.0 or
209
          EF.Cos (0.0, 360.0) /= 1.0
210
      then
211
         Report.Failed("Incorrect value returned from Cos function with " &
212
                       "cycle parameter for a zero input parameter value");
213
      end if;
214
 
215
 
216
      -- Tests of Cos function with specified Cycle, using various input
217
      -- parameter values for prescribed results.
218
 
219
      if GEF.Cos(0.0,   360.0) /=  1.0 or
220
          EF.Cos(360.0, 360.0) /=  1.0 or
221
         GEF.Cos(90.0,  360.0) /=  0.0 or
222
          EF.Cos(270.0, 360.0) /=  0.0 or
223
         GEF.Cos(180.0, 360.0) /= -1.0 or
224
          EF.Cos(540.0, 360.0) /= -1.0
225
      then
226
         Report.Failed("Incorrect result from the Cos function with " &
227
                       "specified cycle for prescribed results");
228
      end if;
229
 
230
 
231
 
232
      -- Testing of Cosh Function, both instantiated and pre-instantiated
233
      -- version.
234
 
235
      -- Test for Constraint_Error on parameter with large positive magnitude.
236
 
237
      begin
238
 
239
         if New_Float'Machine_Overflows then
240
 
241
            New_Float_Result := GEF.Cosh (New_Float(FXA5A00.Large));
242
            Report.Failed("Constraint_Error not raised when the GEF.Cosh " &
243
                          "function is provided a parameter with a large " &
244
                          "positive value");
245
            Dont_Optimize_New_Float(New_Float_Result, 9);
246
         end if;
247
 
248
      exception
249
         when Constraint_Error => null;  -- OK, expected exception.
250
         when others           =>
251
            Report.Failed("Constraint_Error not raised when the GEF.Cosh " &
252
                          "function is provided a parameter with a large " &
253
                          "positive value");
254
      end;
255
 
256
      -- Test for Constraint_Error on parameter with large negative magnitude.
257
 
258
      begin
259
 
260
         if Float'Machine_Overflows then
261
            The_Result := EF.Cosh (FXA5A00.Minus_Large);
262
            Report.Failed("Constraint_Error not raised when the EF.Cosh " &
263
                          "function is provided a parameter with a "      &
264
                          "large negative value");
265
            Dont_Optimize_Float(The_Result, 10);
266
         end if;
267
 
268
      exception
269
         when Constraint_Error => null;  -- OK, expected exception.
270
         when others           =>
271
            Report.Failed("Constraint_Error not raised when the EF.Cosh " &
272
                          "function is provided a parameter with a "      &
273
                          "large negative value");
274
      end;
275
 
276
 
277
      -- Test that no exception occurs when the Cosh function is provided a
278
      -- very small positive or negative value.
279
 
280
      begin
281
         New_Float_Result := GEF.Cosh (New_Float(FXA5A00.Small));
282
         Dont_Optimize_New_Float(New_Float_Result, 11);
283
      exception
284
         when others =>
285
            Report.Failed("Unexpected exception on GEF.Cosh with a very" &
286
                          "small positive value");
287
      end;
288
 
289
      begin
290
         The_Result := EF.Cosh (-FXA5A00.Small);
291
         Dont_Optimize_Float(The_Result, 12);
292
      exception
293
         when others =>
294
            Report.Failed("Unexpected exception on EF.Cosh with a very" &
295
                          "small negative value");
296
      end;
297
 
298
 
299
      -- Test for prescribed 1.0 result of Function Cosh with 0.0 parameter.
300
 
301
      if GEF.Cosh (0.0) /= 1.0 or
302
          EF.Cosh (0.0) /= 1.0
303
      then
304
         Report.Failed("Incorrect value returned from Cosh(0.0)");
305
      end if;
306
 
307
 
308
      -- Test of Cosh function with various input parameters.
309
 
310
      if not FXA5A00.Result_Within_Range(GEF.Cosh(0.24), 1.029, 0.001) or
311
         not FXA5A00.Result_Within_Range( EF.Cosh(0.59), 1.179, 0.001) or
312
         not FXA5A00.Result_Within_Range(GEF.Cosh(1.06), 1.616, 0.001) or
313
         not FXA5A00.Result_Within_Range( EF.Cosh(1.50), 2.352, 0.001) or
314
         not FXA5A00.Result_Within_Range(GEF.Cosh(1.84), 3.228, 0.001) or
315
         not FXA5A00.Result_Within_Range( EF.Cosh(3.40), 14.99, 0.01)
316
      then
317
         Report.Failed("Incorrect result from Cosh function with " &
318
                       "various input parameters");
319
      end if;
320
 
321
 
322
   exception
323
      when others => Report.Failed ("Exception raised in Test_Block");
324
   end Test_Block;
325
 
326
   Report.Result;
327
 
328
end CXA5A02;

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