1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
|
-- CXG2023.A
--
-- Grant of Unlimited Rights
--
-- Under contracts F33600-87-D-0337, F33600-84-D-0280, MDA903-79-C-0687,
-- F08630-91-C-0015, and DCA100-97-D-0025, the U.S. Government obtained
-- unlimited rights in the software and documentation contained herein.
-- Unlimited rights are defined in DFAR 252.227-7013(a)(19). By making
-- this public release, the Government intends to confer upon all
-- recipients unlimited rights equal to those held by the Government.
-- These rights include rights to use, duplicate, release or disclose the
-- released technical data and computer software in whole or in part, in
-- any manner and for any purpose whatsoever, and to have or permit others
-- to do so.
--
-- DISCLAIMER
--
-- ALL MATERIALS OR INFORMATION HEREIN RELEASED, MADE AVAILABLE OR
-- DISCLOSED ARE AS IS. THE GOVERNMENT MAKES NO EXPRESS OR IMPLIED
-- WARRANTY AS TO ANY MATTER WHATSOEVER, INCLUDING THE CONDITIONS OF THE
-- SOFTWARE, DOCUMENTATION OR OTHER INFORMATION RELEASED, MADE AVAILABLE
-- OR DISCLOSED, OR THE OWNERSHIP, MERCHANTABILITY, OR FITNESS FOR A
-- PARTICULAR PURPOSE OF SAID MATERIAL.
--*
--
-- OBJECTIVE:
-- Check that multiplication and division of decimal fixed point
-- numbers produce exact results.
--
-- TEST DESCRIPTION:
-- Check that multiplication and division of decimal fixed point
-- numbers produce exact results.
--
-- SPECIAL REQUIREMENTS
-- The Strict Mode for the numerical accuracy must be
-- selected. The method by which this mode is selected
-- is implementation dependent.
--
-- APPLICABILITY CRITERIA:
-- This test applies only to implementations supporting the
-- Numerics Annex.
-- This test only applies to the Strict Mode for numerical
-- accuracy.
-- This test applies only to implementations supporting
-- decimal fixed point types of at least 9 digits.
--
--
-- CHANGE HISTORY:
-- 3 Apr 96 SAIC Initial release for 2.1
--
--!
with System;
with Report;
procedure CXG2023 is
Verbose : constant Boolean := False;
procedure Check_1 is
Num_Digits : constant := 6;
type Pennies is delta 0.01 digits Num_Digits;
type Franklins is delta 100.0 digits Num_Digits;
type Dollars is delta 1.0 digits Num_Digits;
P1 : Pennies;
F1 : Franklins;
D1 : Dollars;
-- optimization thwarting functions
function P (X : Pennies) return Pennies is
begin
if Report.Ident_Bool (True) then
return X;
else
return 3.21; -- never executed
end if;
end P;
function F (X : Franklins) return Franklins is
begin
if Report.Ident_Bool (True) then
return X;
else
return 32100.0; -- never executed
end if;
end F;
function D (X : Dollars) return Dollars is
begin
if Report.Ident_Bool (True) then
return X;
else
return 321.0; -- never executed
end if;
end D;
begin
-- multiplication where one operand is universal real
P1 := P(0.05) * 200.0;
if P1 /= 10.00 then
Report.Failed ("1 - expected 10.00 got " & Pennies'Image (P1));
end if;
D1 := P(0.05) * 100.0;
if D1 /= 5.00 then
Report.Failed ("2 - expected 5.00 got " & Dollars'Image (D1));
end if;
F1 := P(0.05) * 50_000.0;
if F1 /= 2500.00 then
Report.Failed ("3 - expected 2500.0 got " & Franklins'Image (F1));
end if;
-- multiplication where both operands are decimal fixed
P1 := P(0.05) * D(-200.0);
if P1 /= -10.00 then
Report.Failed ("4 - expected -10.00 got " & Pennies'Image (P1));
end if;
D1 := P(0.05) * P(-100.0);
if D1 /= -5.00 then
Report.Failed ("5 - expected -5.00 got " & Dollars'Image (D1));
end if;
F1 := P(-0.05) * F(50_000.0);
if F1 /= -2500.00 then
Report.Failed ("6 - expected -2500.0 got " & Franklins'Image (F1));
end if;
-- division where one operand is universal real
P1 := P(0.05) / 0.001;
if P1 /= 50.00 then
Report.Failed ("7 - expected 50.00 got " & Pennies'Image (P1));
end if;
D1 := D(1000.0) / 3.0;
if D1 /= 333.00 then
Report.Failed ("8 - expected 333.00 got " & Dollars'Image (D1));
end if;
F1 := P(1234.56) / 0.0001;
if F1 /= 12345600.00 then
Report.Failed ("9 - expected 12345600.0 got " & Franklins'Image (F1));
end if;
-- division where both operands are decimal fixed
P1 := P(0.05) / D(1.0);
if P1 /= 0.05 then
Report.Failed ("10 - expected 0.05 got " & Pennies'Image (P1));
end if;
-- check for truncation toward 0
D1 := P(-101.00) / P(2.0);
if D1 /= -50.00 then
Report.Failed ("11 - expected -50.00 got " & Dollars'Image (D1));
end if;
P1 := P(-102.03) / P(-0.5);
if P1 /= 204.06 then
Report.Failed ("12 - expected 204.06 got " & Pennies'Image (P1));
end if;
F1 := P(876.54) / P(0.03);
if F1 /= 29200.00 then
Report.Failed ("13 - expected 29200.0 got " & Franklins'Image (F1));
end if;
exception
when others =>
Report.Failed ("unexpected exception in Check_1");
end Check_1;
generic
type Pennies is delta<> digits<>;
type Dollars is delta<> digits<>;
type Franklins is delta<> digits<>;
procedure Generic_Check;
procedure Generic_Check is
-- the following code is copied directly from the
-- above procedure Check_1
P1 : Pennies;
F1 : Franklins;
D1 : Dollars;
-- optimization thwarting functions
function P (X : Pennies) return Pennies is
begin
if Report.Ident_Bool (True) then
return X;
else
return 3.21; -- never executed
end if;
end P;
function F (X : Franklins) return Franklins is
begin
if Report.Ident_Bool (True) then
return X;
else
return 32100.0; -- never executed
end if;
end F;
function D (X : Dollars) return Dollars is
begin
if Report.Ident_Bool (True) then
return X;
else
return 321.0; -- never executed
end if;
end D;
begin
-- multiplication where one operand is universal real
P1 := P(0.05) * 200.0;
if P1 /= 10.00 then
Report.Failed ("1 - expected 10.00 got " & Pennies'Image (P1));
end if;
D1 := P(0.05) * 100.0;
if D1 /= 5.00 then
Report.Failed ("2 - expected 5.00 got " & Dollars'Image (D1));
end if;
F1 := P(0.05) * 50_000.0;
if F1 /= 2500.00 then
Report.Failed ("3 - expected 2500.0 got " & Franklins'Image (F1));
end if;
-- multiplication where both operands are decimal fixed
P1 := P(0.05) * D(-200.0);
if P1 /= -10.00 then
Report.Failed ("4 - expected -10.00 got " & Pennies'Image (P1));
end if;
D1 := P(0.05) * P(-100.0);
if D1 /= -5.00 then
Report.Failed ("5 - expected -5.00 got " & Dollars'Image (D1));
end if;
F1 := P(-0.05) * F(50_000.0);
if F1 /= -2500.00 then
Report.Failed ("6 - expected -2500.0 got " & Franklins'Image (F1));
end if;
-- division where one operand is universal real
P1 := P(0.05) / 0.001;
if P1 /= 50.00 then
Report.Failed ("7 - expected 50.00 got " & Pennies'Image (P1));
end if;
D1 := D(1000.0) / 3.0;
if D1 /= 333.00 then
Report.Failed ("8 - expected 333.00 got " & Dollars'Image (D1));
end if;
F1 := P(1234.56) / 0.0001;
if F1 /= 12345600.00 then
Report.Failed ("9 - expected 12345600.0 got " & Franklins'Image (F1));
end if;
-- division where both operands are decimal fixed
P1 := P(0.05) / D(1.0);
if P1 /= 0.05 then
Report.Failed ("10 - expected 0.05 got " & Pennies'Image (P1));
end if;
-- check for truncation toward 0
D1 := P(-101.00) / P(2.0);
if D1 /= -50.00 then
Report.Failed ("11 - expected -50.00 got " & Dollars'Image (D1));
end if;
P1 := P(-102.03) / P(-0.5);
if P1 /= 204.06 then
Report.Failed ("12 - expected 204.06 got " & Pennies'Image (P1));
end if;
F1 := P(876.54) / P(0.03);
if F1 /= 29200.00 then
Report.Failed ("13 - expected 29200.0 got " & Franklins'Image (F1));
end if;
end Generic_Check;
procedure Check_G6 is
Num_Digits : constant := 6;
type Pennies is delta 0.01 digits Num_Digits;
type Franklins is delta 100.0 digits Num_Digits;
type Dollars is delta 1.0 digits Num_Digits;
procedure G is new Generic_Check (Pennies, Dollars, Franklins);
begin
G;
end Check_G6;
procedure Check_G9 is
Num_Digits : constant := 9;
type Pennies is delta 0.01 digits Num_Digits;
type Franklins is delta 100.0 digits Num_Digits;
type Dollars is delta 1.0 digits Num_Digits;
procedure G is new Generic_Check (Pennies, Dollars, Franklins);
begin
G;
end Check_G9;
begin -- main
Report.Test ("CXG2023",
"Check the accuracy of multiplication and division" &
" of decimal fixed point numbers");
if Verbose then
Report.Comment ("starting Check_1");
end if;
Check_1;
if Verbose then
Report.Comment ("starting Check_G6");
end if;
Check_G6;
if Verbose then
Report.Comment ("starting Check_G9");
end if;
Check_G9;
Report.Result;
end CXG2023;
|