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
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
|
*DECK R1MACH
REAL FUNCTION R1MACH (I)
C***BEGIN PROLOGUE R1MACH
C***PURPOSE Return floating point machine dependent constants.
C***LIBRARY SLATEC
C***CATEGORY R1
C***TYPE SINGLE PRECISION (R1MACH-S, D1MACH-D)
C***KEYWORDS MACHINE CONSTANTS
C***AUTHOR Fox, P. A., (Bell Labs)
C Hall, A. D., (Bell Labs)
C Schryer, N. L., (Bell Labs)
C***DESCRIPTION
C
C R1MACH can be used to obtain machine-dependent parameters for the
C local machine environment. It is a function subprogram with one
C (input) argument, and can be referenced as follows:
C
C A = R1MACH(I)
C
C where I=1,...,5. The (output) value of A above is determined by
C the (input) value of I. The results for various values of I are
C discussed below.
C
C R1MACH(1) = B**(EMIN-1), the smallest positive magnitude.
C R1MACH(2) = B**EMAX*(1 - B**(-T)), the largest magnitude.
C R1MACH(3) = B**(-T), the smallest relative spacing.
C R1MACH(4) = B**(1-T), the largest relative spacing.
C R1MACH(5) = LOG10(B)
C
C Assume single precision numbers are represented in the T-digit,
C base-B form
C
C sign (B**E)*( (X(1)/B) + ... + (X(T)/B**T) )
C
C where 0 .LE. X(I) .LT. B for I=1,...,T, 0 .LT. X(1), and
C EMIN .LE. E .LE. EMAX.
C
C The values of B, T, EMIN and EMAX are provided in I1MACH as
C follows:
C I1MACH(10) = B, the base.
C I1MACH(11) = T, the number of base-B digits.
C I1MACH(12) = EMIN, the smallest exponent E.
C I1MACH(13) = EMAX, the largest exponent E.
C
C To alter this function for a particular environment, the desired
C set of DATA statements should be activated by removing the C from
C column 1. Also, the values of R1MACH(1) - R1MACH(4) should be
C checked for consistency with the local operating system.
C
C***REFERENCES P. A. Fox, A. D. Hall and N. L. Schryer, Framework for
C a portable library, ACM Transactions on Mathematical
C Software 4, 2 (June 1978), pp. 177-188.
C***ROUTINES CALLED XERMSG
C***REVISION HISTORY (YYMMDD)
C 790101 DATE WRITTEN
C 890213 REVISION DATE from Version 3.2
C 891214 Prologue converted to Version 4.0 format. (BAB)
C 900315 CALLs to XERROR changed to CALLs to XERMSG. (THJ)
C 900618 Added DEC RISC constants. (WRB)
C 900723 Added IBM RS 6000 constants. (WRB)
C 910710 Added HP 730 constants. (SMR)
C 911114 Added Convex IEEE constants. (WRB)
C 920121 Added SUN -r8 compiler option constants. (WRB)
C 920229 Added Touchstone Delta i860 constants. (WRB)
C 920501 Reformatted the REFERENCES section. (WRB)
C 920625 Added CONVEX -p8 and -pd8 compiler option constants.
C (BKS, WRB)
C 930201 Added DEC Alpha and SGI constants. (RWC and WRB)
C***END PROLOGUE R1MACH
C
INTEGER SMALL(2)
INTEGER LARGE(2)
INTEGER RIGHT(2)
INTEGER DIVER(2)
INTEGER LOG10(2)
C
REAL RMACH(5)
SAVE RMACH
C
EQUIVALENCE (RMACH(1),SMALL(1))
EQUIVALENCE (RMACH(2),LARGE(1))
EQUIVALENCE (RMACH(3),RIGHT(1))
EQUIVALENCE (RMACH(4),DIVER(1))
EQUIVALENCE (RMACH(5),LOG10(1))
C
C MACHINE CONSTANTS FOR THE AMIGA
C ABSOFT FORTRAN COMPILER USING THE 68020/68881 COMPILER OPTION
C
C DATA SMALL(1) / Z'00800000' /
C DATA LARGE(1) / Z'7F7FFFFF' /
C DATA RIGHT(1) / Z'33800000' /
C DATA DIVER(1) / Z'34000000' /
C DATA LOG10(1) / Z'3E9A209B' /
C
C MACHINE CONSTANTS FOR THE AMIGA
C ABSOFT FORTRAN COMPILER USING SOFTWARE FLOATING POINT
C
C DATA SMALL(1) / Z'00800000' /
C DATA LARGE(1) / Z'7EFFFFFF' /
C DATA RIGHT(1) / Z'33800000' /
C DATA DIVER(1) / Z'34000000' /
C DATA LOG10(1) / Z'3E9A209B' /
C
C MACHINE CONSTANTS FOR THE APOLLO
C
C DATA SMALL(1) / 16#00800000 /
C DATA LARGE(1) / 16#7FFFFFFF /
C DATA RIGHT(1) / 16#33800000 /
C DATA DIVER(1) / 16#34000000 /
C DATA LOG10(1) / 16#3E9A209B /
C
C MACHINE CONSTANTS FOR THE BURROUGHS 1700 SYSTEM
C
C DATA RMACH(1) / Z400800000 /
C DATA RMACH(2) / Z5FFFFFFFF /
C DATA RMACH(3) / Z4E9800000 /
C DATA RMACH(4) / Z4EA800000 /
C DATA RMACH(5) / Z500E730E8 /
C
C MACHINE CONSTANTS FOR THE BURROUGHS 5700/6700/7700 SYSTEMS
C
C DATA RMACH(1) / O1771000000000000 /
C DATA RMACH(2) / O0777777777777777 /
C DATA RMACH(3) / O1311000000000000 /
C DATA RMACH(4) / O1301000000000000 /
C DATA RMACH(5) / O1157163034761675 /
C
C MACHINE CONSTANTS FOR THE CDC 170/180 SERIES USING NOS/VE
C
C DATA RMACH(1) / Z"3001800000000000" /
C DATA RMACH(2) / Z"4FFEFFFFFFFFFFFE" /
C DATA RMACH(3) / Z"3FD2800000000000" /
C DATA RMACH(4) / Z"3FD3800000000000" /
C DATA RMACH(5) / Z"3FFF9A209A84FBCF" /
C
C MACHINE CONSTANTS FOR THE CDC 6000/7000 SERIES
C
C DATA RMACH(1) / 00564000000000000000B /
C DATA RMACH(2) / 37767777777777777776B /
C DATA RMACH(3) / 16414000000000000000B /
C DATA RMACH(4) / 16424000000000000000B /
C DATA RMACH(5) / 17164642023241175720B /
C
C MACHINE CONSTANTS FOR THE CELERITY C1260
C
C DATA SMALL(1) / Z'00800000' /
C DATA LARGE(1) / Z'7F7FFFFF' /
C DATA RIGHT(1) / Z'33800000' /
C DATA DIVER(1) / Z'34000000' /
C DATA LOG10(1) / Z'3E9A209B' /
C
C MACHINE CONSTANTS FOR THE CONVEX
C USING THE -fn COMPILER OPTION
C
C DATA RMACH(1) / Z'00800000' /
C DATA RMACH(2) / Z'7FFFFFFF' /
C DATA RMACH(3) / Z'34800000' /
C DATA RMACH(4) / Z'35000000' /
C DATA RMACH(5) / Z'3F9A209B' /
C
C MACHINE CONSTANTS FOR THE CONVEX
C USING THE -fi COMPILER OPTION
C
C DATA RMACH(1) / Z'00800000' /
C DATA RMACH(2) / Z'7F7FFFFF' /
C DATA RMACH(3) / Z'33800000' /
C DATA RMACH(4) / Z'34000000' /
C DATA RMACH(5) / Z'3E9A209B' /
C
C MACHINE CONSTANTS FOR THE CONVEX
C USING THE -p8 OR -pd8 COMPILER OPTION
C
C DATA RMACH(1) / Z'0010000000000000' /
C DATA RMACH(2) / Z'7FFFFFFFFFFFFFFF' /
C DATA RMACH(3) / Z'3CC0000000000000' /
C DATA RMACH(4) / Z'3CD0000000000000' /
C DATA RMACH(5) / Z'3FF34413509F79FF' /
C
C MACHINE CONSTANTS FOR THE CRAY
C
C DATA RMACH(1) / 200034000000000000000B /
C DATA RMACH(2) / 577767777777777777776B /
C DATA RMACH(3) / 377224000000000000000B /
C DATA RMACH(4) / 377234000000000000000B /
C DATA RMACH(5) / 377774642023241175720B /
C
C MACHINE CONSTANTS FOR THE DATA GENERAL ECLIPSE S/200
C NOTE - IT MAY BE APPROPRIATE TO INCLUDE THE FOLLOWING CARD -
C STATIC RMACH(5)
C
C DATA SMALL / 20K, 0 /
C DATA LARGE / 77777K, 177777K /
C DATA RIGHT / 35420K, 0 /
C DATA DIVER / 36020K, 0 /
C DATA LOG10 / 40423K, 42023K /
C
C MACHINE CONSTANTS FOR THE DEC ALPHA
C USING G_FLOAT
C
C DATA RMACH(1) / '00000080'X /
C DATA RMACH(2) / 'FFFF7FFF'X /
C DATA RMACH(3) / '00003480'X /
C DATA RMACH(4) / '00003500'X /
C DATA RMACH(5) / '209B3F9A'X /
C
C MACHINE CONSTANTS FOR THE DEC ALPHA
C USING IEEE_FLOAT
C
C DATA RMACH(1) / '00800000'X /
C DATA RMACH(2) / '7F7FFFFF'X /
C DATA RMACH(3) / '33800000'X /
C DATA RMACH(4) / '34000000'X /
C DATA RMACH(5) / '3E9A209B'X /
C
C MACHINE CONSTANTS FOR THE DEC RISC
C
C DATA RMACH(1) / Z'00800000' /
C DATA RMACH(2) / Z'7F7FFFFF' /
C DATA RMACH(3) / Z'33800000' /
C DATA RMACH(4) / Z'34000000' /
C DATA RMACH(5) / Z'3E9A209B' /
C
C MACHINE CONSTANTS FOR THE DEC VAX
C (EXPRESSED IN INTEGER AND HEXADECIMAL)
C THE HEX FORMAT BELOW MAY NOT BE SUITABLE FOR UNIX SYSTEMS
C THE INTEGER FORMAT SHOULD BE OK FOR UNIX SYSTEMS
C
C DATA SMALL(1) / 128 /
C DATA LARGE(1) / -32769 /
C DATA RIGHT(1) / 13440 /
C DATA DIVER(1) / 13568 /
C DATA LOG10(1) / 547045274 /
C
C DATA SMALL(1) / Z00000080 /
C DATA LARGE(1) / ZFFFF7FFF /
C DATA RIGHT(1) / Z00003480 /
C DATA DIVER(1) / Z00003500 /
C DATA LOG10(1) / Z209B3F9A /
C
C MACHINE CONSTANTS FOR THE ELXSI 6400
C (ASSUMING REAL*4 IS THE DEFAULT REAL)
C
C DATA SMALL(1) / '00800000'X /
C DATA LARGE(1) / '7F7FFFFF'X /
C DATA RIGHT(1) / '33800000'X /
C DATA DIVER(1) / '34000000'X /
C DATA LOG10(1) / '3E9A209B'X /
C
C MACHINE CONSTANTS FOR THE HARRIS 220
C
C DATA SMALL(1), SMALL(2) / '20000000, '00000201 /
C DATA LARGE(1), LARGE(2) / '37777777, '00000177 /
C DATA RIGHT(1), RIGHT(2) / '20000000, '00000352 /
C DATA DIVER(1), DIVER(2) / '20000000, '00000353 /
C DATA LOG10(1), LOG10(2) / '23210115, '00000377 /
C
C MACHINE CONSTANTS FOR THE HONEYWELL 600/6000 SERIES
C
C DATA RMACH(1) / O402400000000 /
C DATA RMACH(2) / O376777777777 /
C DATA RMACH(3) / O714400000000 /
C DATA RMACH(4) / O716400000000 /
C DATA RMACH(5) / O776464202324 /
C
C MACHINE CONSTANTS FOR THE HP 730
C
C DATA RMACH(1) / Z'00800000' /
C DATA RMACH(2) / Z'7F7FFFFF' /
C DATA RMACH(3) / Z'33800000' /
C DATA RMACH(4) / Z'34000000' /
C DATA RMACH(5) / Z'3E9A209B' /
C
C MACHINE CONSTANTS FOR THE HP 2100
C 3 WORD DOUBLE PRECISION WITH FTN4
C
C DATA SMALL(1), SMALL(2) / 40000B, 1 /
C DATA LARGE(1), LARGE(2) / 77777B, 177776B /
C DATA RIGHT(1), RIGHT(2) / 40000B, 325B /
C DATA DIVER(1), DIVER(2) / 40000B, 327B /
C DATA LOG10(1), LOG10(2) / 46420B, 46777B /
C
C MACHINE CONSTANTS FOR THE HP 2100
C 4 WORD DOUBLE PRECISION WITH FTN4
C
C DATA SMALL(1), SMALL(2) / 40000B, 1 /
C DATA LARGE(1), LARGE(2) / 77777B, 177776B /
C DATA RIGHT(1), RIGHT(2) / 40000B, 325B /
C DATA DIVER(1), DIVER(2) / 40000B, 327B /
C DATA LOG10(1), LOG10(2) / 46420B, 46777B /
C
C MACHINE CONSTANTS FOR THE HP 9000
C
C DATA SMALL(1) / 00004000000B /
C DATA LARGE(1) / 17677777777B /
C DATA RIGHT(1) / 06340000000B /
C DATA DIVER(1) / 06400000000B /
C DATA LOG10(1) / 07646420233B /
C
C MACHINE CONSTANTS FOR THE IBM 360/370 SERIES,
C THE XEROX SIGMA 5/7/9, THE SEL SYSTEMS 85/86 AND
C THE PERKIN ELMER (INTERDATA) 7/32.
C
C DATA RMACH(1) / Z00100000 /
C DATA RMACH(2) / Z7FFFFFFF /
C DATA RMACH(3) / Z3B100000 /
C DATA RMACH(4) / Z3C100000 /
C DATA RMACH(5) / Z41134413 /
C
C MACHINE CONSTANTS FOR THE IBM PC
C
C DATA SMALL(1) / 1.18E-38 /
C DATA LARGE(1) / 3.40E+38 /
C DATA RIGHT(1) / 0.595E-07 /
C DATA DIVER(1) / 1.19E-07 /
C DATA LOG10(1) / 0.30102999566 /
C
C MACHINE CONSTANTS FOR THE IBM RS 6000
C
C DATA RMACH(1) / Z'00800000' /
C DATA RMACH(2) / Z'7F7FFFFF' /
C DATA RMACH(3) / Z'33800000' /
C DATA RMACH(4) / Z'34000000' /
C DATA RMACH(5) / Z'3E9A209B' /
C
C MACHINE CONSTANTS FOR THE INTEL i860
C
C DATA RMACH(1) / Z'00800000' /
C DATA RMACH(2) / Z'7F7FFFFF' /
C DATA RMACH(3) / Z'33800000' /
C DATA RMACH(4) / Z'34000000' /
C DATA RMACH(5) / Z'3E9A209B' /
C
C MACHINE CONSTANTS FOR THE PDP-10 (KA OR KI PROCESSOR)
C
C DATA RMACH(1) / "000400000000 /
C DATA RMACH(2) / "377777777777 /
C DATA RMACH(3) / "146400000000 /
C DATA RMACH(4) / "147400000000 /
C DATA RMACH(5) / "177464202324 /
C
C MACHINE CONSTANTS FOR PDP-11 FORTRAN SUPPORTING
C 32-BIT INTEGERS (EXPRESSED IN INTEGER AND OCTAL).
C
C DATA SMALL(1) / 8388608 /
C DATA LARGE(1) / 2147483647 /
C DATA RIGHT(1) / 880803840 /
C DATA DIVER(1) / 889192448 /
C DATA LOG10(1) / 1067065499 /
C
C DATA RMACH(1) / O00040000000 /
C DATA RMACH(2) / O17777777777 /
C DATA RMACH(3) / O06440000000 /
C DATA RMACH(4) / O06500000000 /
C DATA RMACH(5) / O07746420233 /
C
C MACHINE CONSTANTS FOR PDP-11 FORTRAN SUPPORTING
C 16-BIT INTEGERS (EXPRESSED IN INTEGER AND OCTAL).
C
C DATA SMALL(1), SMALL(2) / 128, 0 /
C DATA LARGE(1), LARGE(2) / 32767, -1 /
C DATA RIGHT(1), RIGHT(2) / 13440, 0 /
C DATA DIVER(1), DIVER(2) / 13568, 0 /
C DATA LOG10(1), LOG10(2) / 16282, 8347 /
C
C DATA SMALL(1), SMALL(2) / O000200, O000000 /
C DATA LARGE(1), LARGE(2) / O077777, O177777 /
C DATA RIGHT(1), RIGHT(2) / O032200, O000000 /
C DATA DIVER(1), DIVER(2) / O032400, O000000 /
C DATA LOG10(1), LOG10(2) / O037632, O020233 /
C
C MACHINE CONSTANTS FOR THE SILICON GRAPHICS
C
C DATA RMACH(1) / Z'00800000' /
C DATA RMACH(2) / Z'7F7FFFFF' /
C DATA RMACH(3) / Z'33800000' /
C DATA RMACH(4) / Z'34000000' /
C DATA RMACH(5) / Z'3E9A209B' /
C
C MACHINE CONSTANTS FOR THE SUN
C
C DATA RMACH(1) / Z'00800000' /
C DATA RMACH(2) / Z'7F7FFFFF' /
C DATA RMACH(3) / Z'33800000' /
C DATA RMACH(4) / Z'34000000' /
C DATA RMACH(5) / Z'3E9A209B' /
C
C MACHINE CONSTANTS FOR THE SUN
C USING THE -r8 COMPILER OPTION
C
C DATA RMACH(1) / Z'0010000000000000' /
C DATA RMACH(2) / Z'7FEFFFFFFFFFFFFF' /
C DATA RMACH(3) / Z'3CA0000000000000' /
C DATA RMACH(4) / Z'3CB0000000000000' /
C DATA RMACH(5) / Z'3FD34413509F79FF' /
C
C MACHINE CONSTANTS FOR THE UNIVAC 1100 SERIES
C
C DATA RMACH(1) / O000400000000 /
C DATA RMACH(2) / O377777777777 /
C DATA RMACH(3) / O146400000000 /
C DATA RMACH(4) / O147400000000 /
C DATA RMACH(5) / O177464202324 /
C
C MACHINE CONSTANTS FOR THE Z80 MICROPROCESSOR
C
C DATA SMALL(1), SMALL(2) / 0, 256/
C DATA LARGE(1), LARGE(2) / -1, -129/
C DATA RIGHT(1), RIGHT(2) / 0, 26880/
C DATA DIVER(1), DIVER(2) / 0, 27136/
C DATA LOG10(1), LOG10(2) / 8347, 32538/
C
C***FIRST EXECUTABLE STATEMENT R1MACH
IF (I .LT. 1 .OR. I .GT. 5) CALL XERMSG ('SLATEC', 'R1MACH',
+ 'I OUT OF BOUNDS', 1, 2)
C
R1MACH = RMACH(I)
RETURN
C
END
|
