1 /*
2 * mathtest.c - test rig for mathlib
3 *
4 * Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
5 * See https://llvm.org/LICENSE.txt for license information.
6 * SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
7 */
8
9 #include <assert.h>
10 #include <stdio.h>
11 #include <stdlib.h>
12 #include <string.h>
13 #include <setjmp.h>
14 #include <ctype.h>
15 #include <math.h>
16 #include <errno.h>
17 #include <limits.h>
18 #include <fenv.h>
19 #include "mathlib.h"
20
21 #ifndef math_errhandling
22 # define math_errhandling 0
23 #endif
24
25 #ifdef __cplusplus
26 #define EXTERN_C extern "C"
27 #else
28 #define EXTERN_C extern
29 #endif
30
31 #ifndef TRUE
32 #define TRUE 1
33 #endif
34 #ifndef FALSE
35 #define FALSE 0
36 #endif
37
38 #ifdef IMPORT_SYMBOL
39 #define STR2(x) #x
40 #define STR(x) STR2(x)
41 _Pragma(STR(import IMPORT_SYMBOL))
42 #endif
43
44 int dmsd, dlsd;
45 int quiet = 0;
46 int doround = 0;
47 unsigned statusmask = FE_ALL_EXCEPT;
48
49 #define EXTRABITS (12)
50 #define ULPUNIT (1<<EXTRABITS)
51
52 typedef int (*test) (void);
53
54 /*
55 struct to hold info about a function (which could actually be a macro)
56 */
57 typedef struct {
58 enum {
59 t_func, t_macro
60 } type;
61 enum {
62 at_d, at_s, /* double or single precision float */
63 at_d2, at_s2, /* same, but taking two args */
64 at_di, at_si, /* double/single and an int */
65 at_dip, at_sip, /* double/single and an int ptr */
66 at_ddp, at_ssp, /* d/s and a d/s ptr */
67 at_dc, at_sc, /* double or single precision complex */
68 at_dc2, at_sc2 /* same, but taking two args */
69 } argtype;
70 enum {
71 rt_d, rt_s, rt_i, /* double, single, int */
72 rt_dc, rt_sc, /* double, single precision complex */
73 rt_d2, rt_s2 /* also use res2 */
74 } rettype;
75 union {
76 void* ptr;
77 double (*d_d_ptr)(double);
78 float (*s_s_ptr)(float);
79 int (*d_i_ptr)(double);
80 int (*s_i_ptr)(float);
81 double (*d2_d_ptr)(double, double);
82 float (*s2_s_ptr)(float, float);
83 double (*di_d_ptr)(double,int);
84 float (*si_s_ptr)(float,int);
85 double (*dip_d_ptr)(double,int*);
86 float (*sip_s_ptr)(float,int*);
87 double (*ddp_d_ptr)(double,double*);
88 float (*ssp_s_ptr)(float,float*);
89 } func;
90 enum {
91 m_none,
92 m_isfinite, m_isfinitef,
93 m_isgreater, m_isgreaterequal,
94 m_isgreaterequalf, m_isgreaterf,
95 m_isinf, m_isinff,
96 m_isless, m_islessequal,
97 m_islessequalf, m_islessf,
98 m_islessgreater, m_islessgreaterf,
99 m_isnan, m_isnanf,
100 m_isnormal, m_isnormalf,
101 m_isunordered, m_isunorderedf,
102 m_fpclassify, m_fpclassifyf,
103 m_signbit, m_signbitf,
104 /* not actually a macro, but makes things easier */
105 m_rred, m_rredf,
106 m_cadd, m_csub, m_cmul, m_cdiv,
107 m_caddf, m_csubf, m_cmulf, m_cdivf
108 } macro_name; /* only used if a macro/something that can't be done using func */
109 long long tolerance;
110 const char* name;
111 } test_func;
112
113 /* used in qsort */
compare_tfuncs(const void * a,const void * b)114 int compare_tfuncs(const void* a, const void* b) {
115 return strcmp(((test_func*)a)->name, ((test_func*)b)->name);
116 }
117
is_double_argtype(int argtype)118 int is_double_argtype(int argtype) {
119 switch(argtype) {
120 case at_d:
121 case at_d2:
122 case at_dc:
123 case at_dc2:
124 return 1;
125 default:
126 return 0;
127 }
128 }
129
is_single_argtype(int argtype)130 int is_single_argtype(int argtype) {
131 switch(argtype) {
132 case at_s:
133 case at_s2:
134 case at_sc:
135 case at_sc2:
136 return 1;
137 default:
138 return 0;
139 }
140 }
141
is_double_rettype(int rettype)142 int is_double_rettype(int rettype) {
143 switch(rettype) {
144 case rt_d:
145 case rt_dc:
146 case rt_d2:
147 return 1;
148 default:
149 return 0;
150 }
151 }
152
is_single_rettype(int rettype)153 int is_single_rettype(int rettype) {
154 switch(rettype) {
155 case rt_s:
156 case rt_sc:
157 case rt_s2:
158 return 1;
159 default:
160 return 0;
161 }
162 }
163
is_complex_argtype(int argtype)164 int is_complex_argtype(int argtype) {
165 switch(argtype) {
166 case at_dc:
167 case at_sc:
168 case at_dc2:
169 case at_sc2:
170 return 1;
171 default:
172 return 0;
173 }
174 }
175
is_complex_rettype(int rettype)176 int is_complex_rettype(int rettype) {
177 switch(rettype) {
178 case rt_dc:
179 case rt_sc:
180 return 1;
181 default:
182 return 0;
183 }
184 }
185
186 /*
187 * Special-case flags indicating that some functions' error
188 * tolerance handling is more complicated than a fixed relative
189 * error bound.
190 */
191 #define ABSLOWERBOUND 0x4000000000000000LL
192 #define PLUSMINUSPIO2 0x1000000000000000LL
193
194 #define ARM_PREFIX(x) x
195
196 #define TFUNC(arg,ret,name,tolerance) { t_func, arg, ret, (void*)&name, m_none, tolerance, #name }
197 #define TFUNCARM(arg,ret,name,tolerance) { t_func, arg, ret, (void*)& ARM_PREFIX(name), m_none, tolerance, #name }
198 #define MFUNC(arg,ret,name,tolerance) { t_macro, arg, ret, NULL, m_##name, tolerance, #name }
199
200 /* sincosf wrappers for easier testing. */
sincosf_sinf(float x)201 static float sincosf_sinf(float x) { float s,c; sincosf(x, &s, &c); return s; }
sincosf_cosf(float x)202 static float sincosf_cosf(float x) { float s,c; sincosf(x, &s, &c); return c; }
203
204 test_func tfuncs[] = {
205 /* trigonometric */
206 TFUNC(at_d,rt_d, acos, 4*ULPUNIT),
207 TFUNC(at_d,rt_d, asin, 4*ULPUNIT),
208 TFUNC(at_d,rt_d, atan, 4*ULPUNIT),
209 TFUNC(at_d2,rt_d, atan2, 4*ULPUNIT),
210
211 TFUNC(at_d,rt_d, tan, 2*ULPUNIT),
212 TFUNC(at_d,rt_d, sin, 2*ULPUNIT),
213 TFUNC(at_d,rt_d, cos, 2*ULPUNIT),
214
215 TFUNC(at_s,rt_s, acosf, 4*ULPUNIT),
216 TFUNC(at_s,rt_s, asinf, 4*ULPUNIT),
217 TFUNC(at_s,rt_s, atanf, 4*ULPUNIT),
218 TFUNC(at_s2,rt_s, atan2f, 4*ULPUNIT),
219 TFUNCARM(at_s,rt_s, tanf, 4*ULPUNIT),
220 TFUNCARM(at_s,rt_s, sinf, 3*ULPUNIT/4),
221 TFUNCARM(at_s,rt_s, cosf, 3*ULPUNIT/4),
222 TFUNCARM(at_s,rt_s, sincosf_sinf, 3*ULPUNIT/4),
223 TFUNCARM(at_s,rt_s, sincosf_cosf, 3*ULPUNIT/4),
224
225 /* hyperbolic */
226 TFUNC(at_d, rt_d, atanh, 4*ULPUNIT),
227 TFUNC(at_d, rt_d, asinh, 4*ULPUNIT),
228 TFUNC(at_d, rt_d, acosh, 4*ULPUNIT),
229 TFUNC(at_d,rt_d, tanh, 4*ULPUNIT),
230 TFUNC(at_d,rt_d, sinh, 4*ULPUNIT),
231 TFUNC(at_d,rt_d, cosh, 4*ULPUNIT),
232
233 TFUNC(at_s, rt_s, atanhf, 4*ULPUNIT),
234 TFUNC(at_s, rt_s, asinhf, 4*ULPUNIT),
235 TFUNC(at_s, rt_s, acoshf, 4*ULPUNIT),
236 TFUNC(at_s,rt_s, tanhf, 4*ULPUNIT),
237 TFUNC(at_s,rt_s, sinhf, 4*ULPUNIT),
238 TFUNC(at_s,rt_s, coshf, 4*ULPUNIT),
239
240 /* exponential and logarithmic */
241 TFUNC(at_d,rt_d, log, 3*ULPUNIT/4),
242 TFUNC(at_d,rt_d, log10, 3*ULPUNIT),
243 TFUNC(at_d,rt_d, log2, 3*ULPUNIT/4),
244 TFUNC(at_d,rt_d, log1p, 2*ULPUNIT),
245 TFUNC(at_d,rt_d, exp, 3*ULPUNIT/4),
246 TFUNC(at_d,rt_d, exp2, 3*ULPUNIT/4),
247 TFUNC(at_d,rt_d, expm1, ULPUNIT),
248 TFUNCARM(at_s,rt_s, logf, ULPUNIT),
249 TFUNC(at_s,rt_s, log10f, 3*ULPUNIT),
250 TFUNCARM(at_s,rt_s, log2f, ULPUNIT),
251 TFUNC(at_s,rt_s, log1pf, 2*ULPUNIT),
252 TFUNCARM(at_s,rt_s, expf, 3*ULPUNIT/4),
253 TFUNCARM(at_s,rt_s, exp2f, 3*ULPUNIT/4),
254 TFUNC(at_s,rt_s, expm1f, ULPUNIT),
255
256 /* power */
257 TFUNC(at_d2,rt_d, pow, 3*ULPUNIT/4),
258 TFUNC(at_d,rt_d, sqrt, ULPUNIT/2),
259 TFUNC(at_d,rt_d, cbrt, 2*ULPUNIT),
260 TFUNC(at_d2, rt_d, hypot, 4*ULPUNIT),
261
262 TFUNCARM(at_s2,rt_s, powf, ULPUNIT),
263 TFUNC(at_s,rt_s, sqrtf, ULPUNIT/2),
264 TFUNC(at_s,rt_s, cbrtf, 2*ULPUNIT),
265 TFUNC(at_s2, rt_s, hypotf, 4*ULPUNIT),
266
267 /* error function */
268 TFUNC(at_d,rt_d, erf, 16*ULPUNIT),
269 TFUNC(at_s,rt_s, erff, 16*ULPUNIT),
270 TFUNC(at_d,rt_d, erfc, 16*ULPUNIT),
271 TFUNC(at_s,rt_s, erfcf, 16*ULPUNIT),
272
273 /* gamma functions */
274 TFUNC(at_d,rt_d, tgamma, 16*ULPUNIT),
275 TFUNC(at_s,rt_s, tgammaf, 16*ULPUNIT),
276 TFUNC(at_d,rt_d, lgamma, 16*ULPUNIT | ABSLOWERBOUND),
277 TFUNC(at_s,rt_s, lgammaf, 16*ULPUNIT | ABSLOWERBOUND),
278
279 TFUNC(at_d,rt_d, ceil, 0),
280 TFUNC(at_s,rt_s, ceilf, 0),
281 TFUNC(at_d2,rt_d, copysign, 0),
282 TFUNC(at_s2,rt_s, copysignf, 0),
283 TFUNC(at_d,rt_d, floor, 0),
284 TFUNC(at_s,rt_s, floorf, 0),
285 TFUNC(at_d2,rt_d, fmax, 0),
286 TFUNC(at_s2,rt_s, fmaxf, 0),
287 TFUNC(at_d2,rt_d, fmin, 0),
288 TFUNC(at_s2,rt_s, fminf, 0),
289 TFUNC(at_d2,rt_d, fmod, 0),
290 TFUNC(at_s2,rt_s, fmodf, 0),
291 MFUNC(at_d, rt_i, fpclassify, 0),
292 MFUNC(at_s, rt_i, fpclassifyf, 0),
293 TFUNC(at_dip,rt_d, frexp, 0),
294 TFUNC(at_sip,rt_s, frexpf, 0),
295 MFUNC(at_d, rt_i, isfinite, 0),
296 MFUNC(at_s, rt_i, isfinitef, 0),
297 MFUNC(at_d, rt_i, isgreater, 0),
298 MFUNC(at_d, rt_i, isgreaterequal, 0),
299 MFUNC(at_s, rt_i, isgreaterequalf, 0),
300 MFUNC(at_s, rt_i, isgreaterf, 0),
301 MFUNC(at_d, rt_i, isinf, 0),
302 MFUNC(at_s, rt_i, isinff, 0),
303 MFUNC(at_d, rt_i, isless, 0),
304 MFUNC(at_d, rt_i, islessequal, 0),
305 MFUNC(at_s, rt_i, islessequalf, 0),
306 MFUNC(at_s, rt_i, islessf, 0),
307 MFUNC(at_d, rt_i, islessgreater, 0),
308 MFUNC(at_s, rt_i, islessgreaterf, 0),
309 MFUNC(at_d, rt_i, isnan, 0),
310 MFUNC(at_s, rt_i, isnanf, 0),
311 MFUNC(at_d, rt_i, isnormal, 0),
312 MFUNC(at_s, rt_i, isnormalf, 0),
313 MFUNC(at_d, rt_i, isunordered, 0),
314 MFUNC(at_s, rt_i, isunorderedf, 0),
315 TFUNC(at_di,rt_d, ldexp, 0),
316 TFUNC(at_si,rt_s, ldexpf, 0),
317 TFUNC(at_ddp,rt_d2, modf, 0),
318 TFUNC(at_ssp,rt_s2, modff, 0),
319 #ifndef BIGRANGERED
320 MFUNC(at_d, rt_d, rred, 2*ULPUNIT),
321 #else
322 MFUNC(at_d, rt_d, m_rred, ULPUNIT),
323 #endif
324 MFUNC(at_d, rt_i, signbit, 0),
325 MFUNC(at_s, rt_i, signbitf, 0),
326 };
327
328 /*
329 * keywords are: func size op1 op2 result res2 errno op1r op1i op2r op2i resultr resulti
330 * also we ignore: wrongresult wrongres2 wrongerrno
331 * op1 equivalent to op1r, same with op2 and result
332 */
333
334 typedef struct {
335 test_func *func;
336 unsigned op1r[2]; /* real part, also used for non-complex numbers */
337 unsigned op1i[2]; /* imaginary part */
338 unsigned op2r[2];
339 unsigned op2i[2];
340 unsigned resultr[3];
341 unsigned resulti[3];
342 enum {
343 rc_none, rc_zero, rc_infinity, rc_nan, rc_finite
344 } resultc; /* special complex results, rc_none means use resultr and resulti as normal */
345 unsigned res2[2];
346 unsigned status; /* IEEE status return, if any */
347 unsigned maybestatus; /* for optional status, or allowance for spurious */
348 int nresult; /* number of result words */
349 int in_err, in_err_limit;
350 int err;
351 int maybeerr;
352 int valid;
353 int comment;
354 int random;
355 } testdetail;
356
357 enum { /* keywords */
358 k_errno, k_errno_in, k_error, k_func, k_maybeerror, k_maybestatus, k_op1, k_op1i, k_op1r, k_op2, k_op2i, k_op2r,
359 k_random, k_res2, k_result, k_resultc, k_resulti, k_resultr, k_status,
360 k_wrongres2, k_wrongresult, k_wrongstatus, k_wrongerrno
361 };
362 char *keywords[] = {
363 "errno", "errno_in", "error", "func", "maybeerror", "maybestatus", "op1", "op1i", "op1r", "op2", "op2i", "op2r",
364 "random", "res2", "result", "resultc", "resulti", "resultr", "status",
365 "wrongres2", "wrongresult", "wrongstatus", "wrongerrno"
366 };
367
368 enum {
369 e_0, e_EDOM, e_ERANGE,
370
371 /*
372 * This enum makes sure that we have the right number of errnos in the
373 * errno[] array
374 */
375 e_number_of_errnos
376 };
377 char *errnos[] = {
378 "0", "EDOM", "ERANGE"
379 };
380
381 enum {
382 e_none, e_divbyzero, e_domain, e_overflow, e_underflow
383 };
384 char *errors[] = {
385 "0", "divbyzero", "domain", "overflow", "underflow"
386 };
387
388 static int verbose, fo, strict;
389
390 /* state toggled by random=on / random=off */
391 static int randomstate;
392
393 /* Canonify a double NaN: SNaNs all become 7FF00000.00000001 and QNaNs
394 * all become 7FF80000.00000001 */
canon_dNaN(unsigned a[2])395 void canon_dNaN(unsigned a[2]) {
396 if ((a[0] & 0x7FF00000) != 0x7FF00000)
397 return; /* not Inf or NaN */
398 if (!(a[0] & 0xFFFFF) && !a[1])
399 return; /* Inf */
400 a[0] &= 0x7FF80000; /* canonify top word */
401 a[1] = 0x00000001; /* canonify bottom word */
402 }
403
404 /* Canonify a single NaN: SNaNs all become 7F800001 and QNaNs
405 * all become 7FC00001. Returns classification of the NaN. */
canon_sNaN(unsigned a[1])406 void canon_sNaN(unsigned a[1]) {
407 if ((a[0] & 0x7F800000) != 0x7F800000)
408 return; /* not Inf or NaN */
409 if (!(a[0] & 0x7FFFFF))
410 return; /* Inf */
411 a[0] &= 0x7FC00000; /* canonify most bits */
412 a[0] |= 0x00000001; /* canonify bottom bit */
413 }
414
415 /*
416 * Detect difficult operands for FO mode.
417 */
is_dhard(unsigned a[2])418 int is_dhard(unsigned a[2])
419 {
420 if ((a[0] & 0x7FF00000) == 0x7FF00000)
421 return TRUE; /* inf or NaN */
422 if ((a[0] & 0x7FF00000) == 0 &&
423 ((a[0] & 0x7FFFFFFF) | a[1]) != 0)
424 return TRUE; /* denormal */
425 return FALSE;
426 }
is_shard(unsigned a[1])427 int is_shard(unsigned a[1])
428 {
429 if ((a[0] & 0x7F800000) == 0x7F800000)
430 return TRUE; /* inf or NaN */
431 if ((a[0] & 0x7F800000) == 0 &&
432 (a[0] & 0x7FFFFFFF) != 0)
433 return TRUE; /* denormal */
434 return FALSE;
435 }
436
437 /*
438 * Normalise all zeroes into +0, for FO mode.
439 */
dnormzero(unsigned a[2])440 void dnormzero(unsigned a[2])
441 {
442 if (a[0] == 0x80000000 && a[1] == 0)
443 a[0] = 0;
444 }
snormzero(unsigned a[1])445 void snormzero(unsigned a[1])
446 {
447 if (a[0] == 0x80000000)
448 a[0] = 0;
449 }
450
find(char * word,char ** array,int asize)451 static int find(char *word, char **array, int asize) {
452 int i, j;
453
454 asize /= sizeof(char *);
455
456 i = -1; j = asize; /* strictly between i and j */
457 while (j-i > 1) {
458 int k = (i+j) / 2;
459 int c = strcmp(word, array[k]);
460 if (c > 0)
461 i = k;
462 else if (c < 0)
463 j = k;
464 else /* found it! */
465 return k;
466 }
467 return -1; /* not found */
468 }
469
find_testfunc(char * word)470 static test_func* find_testfunc(char *word) {
471 int i, j, asize;
472
473 asize = sizeof(tfuncs)/sizeof(test_func);
474
475 i = -1; j = asize; /* strictly between i and j */
476 while (j-i > 1) {
477 int k = (i+j) / 2;
478 int c = strcmp(word, tfuncs[k].name);
479 if (c > 0)
480 i = k;
481 else if (c < 0)
482 j = k;
483 else /* found it! */
484 return tfuncs + k;
485 }
486 return NULL; /* not found */
487 }
488
calc_error(unsigned a[2],unsigned b[3],int shift,int rettype)489 static long long calc_error(unsigned a[2], unsigned b[3], int shift, int rettype) {
490 unsigned r0, r1, r2;
491 int sign, carry;
492 long long result;
493
494 /*
495 * If either number is infinite, require exact equality. If
496 * either number is NaN, require that both are NaN. If either
497 * of these requirements is broken, return INT_MAX.
498 */
499 if (is_double_rettype(rettype)) {
500 if ((a[0] & 0x7FF00000) == 0x7FF00000 ||
501 (b[0] & 0x7FF00000) == 0x7FF00000) {
502 if (((a[0] & 0x800FFFFF) || a[1]) &&
503 ((b[0] & 0x800FFFFF) || b[1]) &&
504 (a[0] & 0x7FF00000) == 0x7FF00000 &&
505 (b[0] & 0x7FF00000) == 0x7FF00000)
506 return 0; /* both NaN - OK */
507 if (!((a[0] & 0xFFFFF) || a[1]) &&
508 !((b[0] & 0xFFFFF) || b[1]) &&
509 a[0] == b[0])
510 return 0; /* both same sign of Inf - OK */
511 return LLONG_MAX;
512 }
513 } else {
514 if ((a[0] & 0x7F800000) == 0x7F800000 ||
515 (b[0] & 0x7F800000) == 0x7F800000) {
516 if ((a[0] & 0x807FFFFF) &&
517 (b[0] & 0x807FFFFF) &&
518 (a[0] & 0x7F800000) == 0x7F800000 &&
519 (b[0] & 0x7F800000) == 0x7F800000)
520 return 0; /* both NaN - OK */
521 if (!(a[0] & 0x7FFFFF) &&
522 !(b[0] & 0x7FFFFF) &&
523 a[0] == b[0])
524 return 0; /* both same sign of Inf - OK */
525 return LLONG_MAX;
526 }
527 }
528
529 /*
530 * Both finite. Return INT_MAX if the signs differ.
531 */
532 if ((a[0] ^ b[0]) & 0x80000000)
533 return LLONG_MAX;
534
535 /*
536 * Now it's just straight multiple-word subtraction.
537 */
538 if (is_double_rettype(rettype)) {
539 r2 = -b[2]; carry = (r2 == 0);
540 r1 = a[1] + ~b[1] + carry; carry = (r1 < a[1] || (carry && r1 == a[1]));
541 r0 = a[0] + ~b[0] + carry;
542 } else {
543 r2 = -b[1]; carry = (r2 == 0);
544 r1 = a[0] + ~b[0] + carry; carry = (r1 < a[0] || (carry && r1 == a[0]));
545 r0 = ~0 + carry;
546 }
547
548 /*
549 * Forgive larger errors in specialised cases.
550 */
551 if (shift > 0) {
552 if (shift > 32*3)
553 return 0; /* all errors are forgiven! */
554 while (shift >= 32) {
555 r2 = r1;
556 r1 = r0;
557 r0 = -(r0 >> 31);
558 shift -= 32;
559 }
560
561 if (shift > 0) {
562 r2 = (r2 >> shift) | (r1 << (32-shift));
563 r1 = (r1 >> shift) | (r0 << (32-shift));
564 r0 = (r0 >> shift) | ((-(r0 >> 31)) << (32-shift));
565 }
566 }
567
568 if (r0 & 0x80000000) {
569 sign = 1;
570 r2 = ~r2; carry = (r2 == 0);
571 r1 = 0 + ~r1 + carry; carry = (carry && (r2 == 0));
572 r0 = 0 + ~r0 + carry;
573 } else {
574 sign = 0;
575 }
576
577 if (r0 >= (1LL<<(31-EXTRABITS)))
578 return LLONG_MAX; /* many ulps out */
579
580 result = (r2 >> (32-EXTRABITS)) & (ULPUNIT-1);
581 result |= r1 << EXTRABITS;
582 result |= (long long)r0 << (32+EXTRABITS);
583 if (sign)
584 result = -result;
585 return result;
586 }
587
588 /* special named operands */
589
590 typedef struct {
591 unsigned op1, op2;
592 char* name;
593 } special_op;
594
595 static special_op special_ops_double[] = {
596 {0x00000000,0x00000000,"0"},
597 {0x3FF00000,0x00000000,"1"},
598 {0x7FF00000,0x00000000,"inf"},
599 {0x7FF80000,0x00000001,"qnan"},
600 {0x7FF00000,0x00000001,"snan"},
601 {0x3ff921fb,0x54442d18,"pi2"},
602 {0x400921fb,0x54442d18,"pi"},
603 {0x3fe921fb,0x54442d18,"pi4"},
604 {0x4002d97c,0x7f3321d2,"3pi4"},
605 };
606
607 static special_op special_ops_float[] = {
608 {0x00000000,0,"0"},
609 {0x3f800000,0,"1"},
610 {0x7f800000,0,"inf"},
611 {0x7fc00000,0,"qnan"},
612 {0x7f800001,0,"snan"},
613 {0x3fc90fdb,0,"pi2"},
614 {0x40490fdb,0,"pi"},
615 {0x3f490fdb,0,"pi4"},
616 {0x4016cbe4,0,"3pi4"},
617 };
618
619 /*
620 This is what is returned by the below functions.
621 We need it to handle the sign of the number
622 */
623 static special_op tmp_op = {0,0,0};
624
find_special_op_from_op(unsigned op1,unsigned op2,int is_double)625 special_op* find_special_op_from_op(unsigned op1, unsigned op2, int is_double) {
626 int i;
627 special_op* sop;
628 if(is_double) {
629 sop = special_ops_double;
630 } else {
631 sop = special_ops_float;
632 }
633 for(i = 0; i < sizeof(special_ops_double)/sizeof(special_op); i++) {
634 if(sop->op1 == (op1&0x7fffffff) && sop->op2 == op2) {
635 if(tmp_op.name) free(tmp_op.name);
636 tmp_op.name = malloc(strlen(sop->name)+2);
637 if(op1>>31) {
638 sprintf(tmp_op.name,"-%s",sop->name);
639 } else {
640 strcpy(tmp_op.name,sop->name);
641 }
642 return &tmp_op;
643 }
644 sop++;
645 }
646 return NULL;
647 }
648
find_special_op_from_name(const char * name,int is_double)649 special_op* find_special_op_from_name(const char* name, int is_double) {
650 int i, neg=0;
651 special_op* sop;
652 if(is_double) {
653 sop = special_ops_double;
654 } else {
655 sop = special_ops_float;
656 }
657 if(*name=='-') {
658 neg=1;
659 name++;
660 } else if(*name=='+') {
661 name++;
662 }
663 for(i = 0; i < sizeof(special_ops_double)/sizeof(special_op); i++) {
664 if(0 == strcmp(name,sop->name)) {
665 tmp_op.op1 = sop->op1;
666 if(neg) {
667 tmp_op.op1 |= 0x80000000;
668 }
669 tmp_op.op2 = sop->op2;
670 return &tmp_op;
671 }
672 sop++;
673 }
674 return NULL;
675 }
676
677 /*
678 helper function for the below
679 type=0 for single, 1 for double, 2 for no sop
680 */
do_op(char * q,unsigned * op,const char * name,int num,int sop_type)681 int do_op(char* q, unsigned* op, const char* name, int num, int sop_type) {
682 int i;
683 int n=num;
684 special_op* sop = NULL;
685 for(i = 0; i < num; i++) {
686 op[i] = 0;
687 }
688 if(sop_type<2) {
689 sop = find_special_op_from_name(q,sop_type);
690 }
691 if(sop != NULL) {
692 op[0] = sop->op1;
693 op[1] = sop->op2;
694 } else {
695 switch(num) {
696 case 1: n = sscanf(q, "%x", &op[0]); break;
697 case 2: n = sscanf(q, "%x.%x", &op[0], &op[1]); break;
698 case 3: n = sscanf(q, "%x.%x.%x", &op[0], &op[1], &op[2]); break;
699 default: return -1;
700 }
701 }
702 if (verbose) {
703 printf("%s=",name);
704 for (i = 0; (i < n); ++i) printf("%x.", op[i]);
705 printf(" (n=%d)\n", n);
706 }
707 return n;
708 }
709
parsetest(char * testbuf,testdetail oldtest)710 testdetail parsetest(char *testbuf, testdetail oldtest) {
711 char *p; /* Current part of line: Option name */
712 char *q; /* Current part of line: Option value */
713 testdetail ret; /* What we return */
714 int k; /* Function enum from k_* */
715 int n; /* Used as returns for scanfs */
716 int argtype=2, rettype=2; /* for do_op */
717
718 /* clear ret */
719 memset(&ret, 0, sizeof(ret));
720
721 if (verbose) printf("Parsing line: %s\n", testbuf);
722 while (*testbuf && isspace(*testbuf)) testbuf++;
723 if (testbuf[0] == ';' || testbuf[0] == '#' || testbuf[0] == '!' ||
724 testbuf[0] == '>' || testbuf[0] == '\0') {
725 ret.comment = 1;
726 if (verbose) printf("Line is a comment\n");
727 return ret;
728 }
729 ret.comment = 0;
730
731 if (*testbuf == '+') {
732 if (oldtest.valid) {
733 ret = oldtest; /* structure copy */
734 } else {
735 fprintf(stderr, "copy from invalid: ignored\n");
736 }
737 testbuf++;
738 }
739
740 ret.random = randomstate;
741
742 ret.in_err = 0;
743 ret.in_err_limit = e_number_of_errnos;
744
745 p = strtok(testbuf, " \t");
746 while (p != NULL) {
747 q = strchr(p, '=');
748 if (!q)
749 goto balderdash;
750 *q++ = '\0';
751 k = find(p, keywords, sizeof(keywords));
752 switch (k) {
753 case k_random:
754 randomstate = (!strcmp(q, "on"));
755 ret.comment = 1;
756 return ret; /* otherwise ignore this line */
757 case k_func:
758 if (verbose) printf("func=%s ", q);
759 //ret.func = find(q, funcs, sizeof(funcs));
760 ret.func = find_testfunc(q);
761 if (ret.func == NULL)
762 {
763 if (verbose) printf("(id=unknown)\n");
764 goto balderdash;
765 }
766 if(is_single_argtype(ret.func->argtype))
767 argtype = 0;
768 else if(is_double_argtype(ret.func->argtype))
769 argtype = 1;
770 if(is_single_rettype(ret.func->rettype))
771 rettype = 0;
772 else if(is_double_rettype(ret.func->rettype))
773 rettype = 1;
774 //ret.size = sizes[ret.func];
775 if (verbose) printf("(name=%s) (size=%d)\n", ret.func->name, ret.func->argtype);
776 break;
777 case k_op1:
778 case k_op1r:
779 n = do_op(q,ret.op1r,"op1r",2,argtype);
780 if (n < 1)
781 goto balderdash;
782 break;
783 case k_op1i:
784 n = do_op(q,ret.op1i,"op1i",2,argtype);
785 if (n < 1)
786 goto balderdash;
787 break;
788 case k_op2:
789 case k_op2r:
790 n = do_op(q,ret.op2r,"op2r",2,argtype);
791 if (n < 1)
792 goto balderdash;
793 break;
794 case k_op2i:
795 n = do_op(q,ret.op2i,"op2i",2,argtype);
796 if (n < 1)
797 goto balderdash;
798 break;
799 case k_resultc:
800 puts(q);
801 if(strncmp(q,"inf",3)==0) {
802 ret.resultc = rc_infinity;
803 } else if(strcmp(q,"zero")==0) {
804 ret.resultc = rc_zero;
805 } else if(strcmp(q,"nan")==0) {
806 ret.resultc = rc_nan;
807 } else if(strcmp(q,"finite")==0) {
808 ret.resultc = rc_finite;
809 } else {
810 goto balderdash;
811 }
812 break;
813 case k_result:
814 case k_resultr:
815 n = (do_op)(q,ret.resultr,"resultr",3,rettype);
816 if (n < 1)
817 goto balderdash;
818 ret.nresult = n; /* assume real and imaginary have same no. words */
819 break;
820 case k_resulti:
821 n = do_op(q,ret.resulti,"resulti",3,rettype);
822 if (n < 1)
823 goto balderdash;
824 break;
825 case k_res2:
826 n = do_op(q,ret.res2,"res2",2,rettype);
827 if (n < 1)
828 goto balderdash;
829 break;
830 case k_status:
831 while (*q) {
832 if (*q == 'i') ret.status |= FE_INVALID;
833 if (*q == 'z') ret.status |= FE_DIVBYZERO;
834 if (*q == 'o') ret.status |= FE_OVERFLOW;
835 if (*q == 'u') ret.status |= FE_UNDERFLOW;
836 q++;
837 }
838 break;
839 case k_maybeerror:
840 n = find(q, errors, sizeof(errors));
841 if (n < 0)
842 goto balderdash;
843 if(math_errhandling&MATH_ERREXCEPT) {
844 switch(n) {
845 case e_domain: ret.maybestatus |= FE_INVALID; break;
846 case e_divbyzero: ret.maybestatus |= FE_DIVBYZERO; break;
847 case e_overflow: ret.maybestatus |= FE_OVERFLOW; break;
848 case e_underflow: ret.maybestatus |= FE_UNDERFLOW; break;
849 }
850 }
851 {
852 switch(n) {
853 case e_domain:
854 ret.maybeerr = e_EDOM; break;
855 case e_divbyzero:
856 case e_overflow:
857 case e_underflow:
858 ret.maybeerr = e_ERANGE; break;
859 }
860 }
861 case k_maybestatus:
862 while (*q) {
863 if (*q == 'i') ret.maybestatus |= FE_INVALID;
864 if (*q == 'z') ret.maybestatus |= FE_DIVBYZERO;
865 if (*q == 'o') ret.maybestatus |= FE_OVERFLOW;
866 if (*q == 'u') ret.maybestatus |= FE_UNDERFLOW;
867 q++;
868 }
869 break;
870 case k_error:
871 n = find(q, errors, sizeof(errors));
872 if (n < 0)
873 goto balderdash;
874 if(math_errhandling&MATH_ERREXCEPT) {
875 switch(n) {
876 case e_domain: ret.status |= FE_INVALID; break;
877 case e_divbyzero: ret.status |= FE_DIVBYZERO; break;
878 case e_overflow: ret.status |= FE_OVERFLOW; break;
879 case e_underflow: ret.status |= FE_UNDERFLOW; break;
880 }
881 }
882 if(math_errhandling&MATH_ERRNO) {
883 switch(n) {
884 case e_domain:
885 ret.err = e_EDOM; break;
886 case e_divbyzero:
887 case e_overflow:
888 case e_underflow:
889 ret.err = e_ERANGE; break;
890 }
891 }
892 if(!(math_errhandling&MATH_ERRNO)) {
893 switch(n) {
894 case e_domain:
895 ret.maybeerr = e_EDOM; break;
896 case e_divbyzero:
897 case e_overflow:
898 case e_underflow:
899 ret.maybeerr = e_ERANGE; break;
900 }
901 }
902 break;
903 case k_errno:
904 ret.err = find(q, errnos, sizeof(errnos));
905 if (ret.err < 0)
906 goto balderdash;
907 break;
908 case k_errno_in:
909 ret.in_err = find(q, errnos, sizeof(errnos));
910 if (ret.err < 0)
911 goto balderdash;
912 ret.in_err_limit = ret.in_err + 1;
913 break;
914 case k_wrongresult:
915 case k_wrongstatus:
916 case k_wrongres2:
917 case k_wrongerrno:
918 /* quietly ignore these keys */
919 break;
920 default:
921 goto balderdash;
922 }
923 p = strtok(NULL, " \t");
924 }
925 ret.valid = 1;
926 return ret;
927
928 /* come here from almost any error */
929 balderdash:
930 ret.valid = 0;
931 return ret;
932 }
933
934 typedef enum {
935 test_comment, /* deliberately not a test */
936 test_invalid, /* accidentally not a test */
937 test_decline, /* was a test, and wasn't run */
938 test_fail, /* was a test, and failed */
939 test_pass /* was a test, and passed */
940 } testresult;
941
942 char failtext[512];
943
944 typedef union {
945 unsigned i[2];
946 double f;
947 double da[2];
948 } dbl;
949
950 typedef union {
951 unsigned i;
952 float f;
953 float da[2];
954 } sgl;
955
956 /* helper function for runtest */
print_error(int rettype,unsigned * result,char * text,char ** failp)957 void print_error(int rettype, unsigned *result, char* text, char** failp) {
958 special_op *sop;
959 char *str;
960
961 if(result) {
962 *failp += sprintf(*failp," %s=",text);
963 sop = find_special_op_from_op(result[0],result[1],is_double_rettype(rettype));
964 if(sop) {
965 *failp += sprintf(*failp,"%s",sop->name);
966 } else {
967 if(is_double_rettype(rettype)) {
968 str="%08x.%08x";
969 } else {
970 str="%08x";
971 }
972 *failp += sprintf(*failp,str,result[0],result[1]);
973 }
974 }
975 }
976
977
print_ulps_helper(const char * name,long long ulps,char ** failp)978 void print_ulps_helper(const char *name, long long ulps, char** failp) {
979 if(ulps == LLONG_MAX) {
980 *failp += sprintf(*failp, " %s=HUGE", name);
981 } else {
982 *failp += sprintf(*failp, " %s=%.3f", name, (double)ulps / ULPUNIT);
983 }
984 }
985
986 /* for complex args make ulpsr or ulpsri = 0 to not print */
print_ulps(int rettype,long long ulpsr,long long ulpsi,char ** failp)987 void print_ulps(int rettype, long long ulpsr, long long ulpsi, char** failp) {
988 if(is_complex_rettype(rettype)) {
989 if (ulpsr) print_ulps_helper("ulpsr",ulpsr,failp);
990 if (ulpsi) print_ulps_helper("ulpsi",ulpsi,failp);
991 } else {
992 if (ulpsr) print_ulps_helper("ulps",ulpsr,failp);
993 }
994 }
995
runtest(testdetail t)996 int runtest(testdetail t) {
997 int err, status;
998
999 dbl d_arg1, d_arg2, d_res, d_res2;
1000 sgl s_arg1, s_arg2, s_res, s_res2;
1001
1002 int deferred_decline = FALSE;
1003 char *failp = failtext;
1004
1005 unsigned int intres=0;
1006
1007 int res2_adjust = 0;
1008
1009 if (t.comment)
1010 return test_comment;
1011 if (!t.valid)
1012 return test_invalid;
1013
1014 /* Set IEEE status to mathlib-normal */
1015 feclearexcept(FE_ALL_EXCEPT);
1016
1017 /* Deal with operands */
1018 #define DO_DOP(arg,op) arg.i[dmsd] = t.op[0]; arg.i[dlsd] = t.op[1]
1019 DO_DOP(d_arg1,op1r);
1020 DO_DOP(d_arg2,op2r);
1021 s_arg1.i = t.op1r[0]; s_arg2.i = t.op2r[0];
1022
1023 /*
1024 * Detect NaNs, infinities and denormals on input, and set a
1025 * deferred decline flag if we're in FO mode.
1026 *
1027 * (We defer the decline rather than doing it immediately
1028 * because even in FO mode the operation is not permitted to
1029 * crash or tight-loop; so we _run_ the test, and then ignore
1030 * all the results.)
1031 */
1032 if (fo) {
1033 if (is_double_argtype(t.func->argtype) && is_dhard(t.op1r))
1034 deferred_decline = TRUE;
1035 if (t.func->argtype==at_d2 && is_dhard(t.op2r))
1036 deferred_decline = TRUE;
1037 if (is_single_argtype(t.func->argtype) && is_shard(t.op1r))
1038 deferred_decline = TRUE;
1039 if (t.func->argtype==at_s2 && is_shard(t.op2r))
1040 deferred_decline = TRUE;
1041 if (is_double_rettype(t.func->rettype) && is_dhard(t.resultr))
1042 deferred_decline = TRUE;
1043 if (t.func->rettype==rt_d2 && is_dhard(t.res2))
1044 deferred_decline = TRUE;
1045 if (is_single_argtype(t.func->rettype) && is_shard(t.resultr))
1046 deferred_decline = TRUE;
1047 if (t.func->rettype==rt_s2 && is_shard(t.res2))
1048 deferred_decline = TRUE;
1049 if (t.err == e_ERANGE)
1050 deferred_decline = TRUE;
1051 }
1052
1053 /*
1054 * Perform the operation
1055 */
1056
1057 errno = t.in_err == e_EDOM ? EDOM : t.in_err == e_ERANGE ? ERANGE : 0;
1058 if (t.err == e_0)
1059 t.err = t.in_err;
1060 if (t.maybeerr == e_0)
1061 t.maybeerr = t.in_err;
1062
1063 if(t.func->type == t_func) {
1064 switch(t.func->argtype) {
1065 case at_d: d_res.f = t.func->func.d_d_ptr(d_arg1.f); break;
1066 case at_s: s_res.f = t.func->func.s_s_ptr(s_arg1.f); break;
1067 case at_d2: d_res.f = t.func->func.d2_d_ptr(d_arg1.f, d_arg2.f); break;
1068 case at_s2: s_res.f = t.func->func.s2_s_ptr(s_arg1.f, s_arg2.f); break;
1069 case at_di: d_res.f = t.func->func.di_d_ptr(d_arg1.f, d_arg2.i[dmsd]); break;
1070 case at_si: s_res.f = t.func->func.si_s_ptr(s_arg1.f, s_arg2.i); break;
1071 case at_dip: d_res.f = t.func->func.dip_d_ptr(d_arg1.f, (int*)&intres); break;
1072 case at_sip: s_res.f = t.func->func.sip_s_ptr(s_arg1.f, (int*)&intres); break;
1073 case at_ddp: d_res.f = t.func->func.ddp_d_ptr(d_arg1.f, &d_res2.f); break;
1074 case at_ssp: s_res.f = t.func->func.ssp_s_ptr(s_arg1.f, &s_res2.f); break;
1075 default:
1076 printf("unhandled function: %s\n",t.func->name);
1077 return test_fail;
1078 }
1079 } else {
1080 /* printf("macro: name=%s, num=%i, s1.i=0x%08x s1.f=%f\n",t.func->name, t.func->macro_name, s_arg1.i, (double)s_arg1.f); */
1081 switch(t.func->macro_name) {
1082 case m_isfinite: intres = isfinite(d_arg1.f); break;
1083 case m_isinf: intres = isinf(d_arg1.f); break;
1084 case m_isnan: intres = isnan(d_arg1.f); break;
1085 case m_isnormal: intres = isnormal(d_arg1.f); break;
1086 case m_signbit: intres = signbit(d_arg1.f); break;
1087 case m_fpclassify: intres = fpclassify(d_arg1.f); break;
1088 case m_isgreater: intres = isgreater(d_arg1.f, d_arg2.f); break;
1089 case m_isgreaterequal: intres = isgreaterequal(d_arg1.f, d_arg2.f); break;
1090 case m_isless: intres = isless(d_arg1.f, d_arg2.f); break;
1091 case m_islessequal: intres = islessequal(d_arg1.f, d_arg2.f); break;
1092 case m_islessgreater: intres = islessgreater(d_arg1.f, d_arg2.f); break;
1093 case m_isunordered: intres = isunordered(d_arg1.f, d_arg2.f); break;
1094
1095 case m_isfinitef: intres = isfinite(s_arg1.f); break;
1096 case m_isinff: intres = isinf(s_arg1.f); break;
1097 case m_isnanf: intres = isnan(s_arg1.f); break;
1098 case m_isnormalf: intres = isnormal(s_arg1.f); break;
1099 case m_signbitf: intres = signbit(s_arg1.f); break;
1100 case m_fpclassifyf: intres = fpclassify(s_arg1.f); break;
1101 case m_isgreaterf: intres = isgreater(s_arg1.f, s_arg2.f); break;
1102 case m_isgreaterequalf: intres = isgreaterequal(s_arg1.f, s_arg2.f); break;
1103 case m_islessf: intres = isless(s_arg1.f, s_arg2.f); break;
1104 case m_islessequalf: intres = islessequal(s_arg1.f, s_arg2.f); break;
1105 case m_islessgreaterf: intres = islessgreater(s_arg1.f, s_arg2.f); break;
1106 case m_isunorderedf: intres = isunordered(s_arg1.f, s_arg2.f); break;
1107
1108 default:
1109 printf("unhandled macro: %s\n",t.func->name);
1110 return test_fail;
1111 }
1112 }
1113
1114 /*
1115 * Decline the test if the deferred decline flag was set above.
1116 */
1117 if (deferred_decline)
1118 return test_decline;
1119
1120 /* printf("intres=%i\n",intres); */
1121
1122 /* Clear the fail text (indicating a pass unless we change it) */
1123 failp[0] = '\0';
1124
1125 /* Check the IEEE status bits (except INX, which we disregard).
1126 * We don't bother with this for complex numbers, because the
1127 * complex functions are hard to get exactly right and we don't
1128 * have to anyway (C99 annex G is only informative). */
1129 if (!(is_complex_argtype(t.func->argtype) || is_complex_rettype(t.func->rettype))) {
1130 status = fetestexcept(FE_INVALID|FE_DIVBYZERO|FE_OVERFLOW|FE_UNDERFLOW);
1131 if ((status|t.maybestatus|~statusmask) != (t.status|t.maybestatus|~statusmask)) {
1132 if (quiet) failtext[0]='x';
1133 else {
1134 failp += sprintf(failp,
1135 " wrongstatus=%s%s%s%s%s",
1136 (status & FE_INVALID ? "i" : ""),
1137 (status & FE_DIVBYZERO ? "z" : ""),
1138 (status & FE_OVERFLOW ? "o" : ""),
1139 (status & FE_UNDERFLOW ? "u" : ""),
1140 (status ? "" : "OK"));
1141 }
1142 }
1143 }
1144
1145 /* Check the result */
1146 {
1147 unsigned resultr[2], resulti[2];
1148 unsigned tresultr[3], tresulti[3], wres;
1149
1150 switch(t.func->rettype) {
1151 case rt_d:
1152 case rt_d2:
1153 tresultr[0] = t.resultr[0];
1154 tresultr[1] = t.resultr[1];
1155 resultr[0] = d_res.i[dmsd]; resultr[1] = d_res.i[dlsd];
1156 wres = 2;
1157 break;
1158 case rt_i:
1159 tresultr[0] = t.resultr[0];
1160 resultr[0] = intres;
1161 wres = 1;
1162 break;
1163 case rt_s:
1164 case rt_s2:
1165 tresultr[0] = t.resultr[0];
1166 resultr[0] = s_res.i;
1167 wres = 1;
1168 break;
1169 default:
1170 puts("unhandled rettype in runtest");
1171 wres = 0;
1172 }
1173 if(t.resultc != rc_none) {
1174 int err = 0;
1175 switch(t.resultc) {
1176 case rc_zero:
1177 if(resultr[0] != 0 || resulti[0] != 0 ||
1178 (wres==2 && (resultr[1] != 0 || resulti[1] != 0))) {
1179 err = 1;
1180 }
1181 break;
1182 case rc_infinity:
1183 if(wres==1) {
1184 if(!((resultr[0]&0x7fffffff)==0x7f800000 ||
1185 (resulti[0]&0x7fffffff)==0x7f800000)) {
1186 err = 1;
1187 }
1188 } else {
1189 if(!(((resultr[0]&0x7fffffff)==0x7ff00000 && resultr[1]==0) ||
1190 ((resulti[0]&0x7fffffff)==0x7ff00000 && resulti[1]==0))) {
1191 err = 1;
1192 }
1193 }
1194 break;
1195 case rc_nan:
1196 if(wres==1) {
1197 if(!((resultr[0]&0x7fffffff)>0x7f800000 ||
1198 (resulti[0]&0x7fffffff)>0x7f800000)) {
1199 err = 1;
1200 }
1201 } else {
1202 canon_dNaN(resultr);
1203 canon_dNaN(resulti);
1204 if(!(((resultr[0]&0x7fffffff)>0x7ff00000 && resultr[1]==1) ||
1205 ((resulti[0]&0x7fffffff)>0x7ff00000 && resulti[1]==1))) {
1206 err = 1;
1207 }
1208 }
1209 break;
1210 case rc_finite:
1211 if(wres==1) {
1212 if(!((resultr[0]&0x7fffffff)<0x7f800000 ||
1213 (resulti[0]&0x7fffffff)<0x7f800000)) {
1214 err = 1;
1215 }
1216 } else {
1217 if(!((resultr[0]&0x7fffffff)<0x7ff00000 ||
1218 (resulti[0]&0x7fffffff)<0x7ff00000)) {
1219 err = 1;
1220 }
1221 }
1222 break;
1223 default:
1224 break;
1225 }
1226 if(err) {
1227 print_error(t.func->rettype,resultr,"wrongresultr",&failp);
1228 print_error(t.func->rettype,resulti,"wrongresulti",&failp);
1229 }
1230 } else if (t.nresult > wres) {
1231 /*
1232 * The test case data has provided the result to more
1233 * than double precision. Instead of testing exact
1234 * equality, we test against our maximum error
1235 * tolerance.
1236 */
1237 int rshift, ishift;
1238 long long ulpsr, ulpsi, ulptolerance;
1239
1240 tresultr[wres] = t.resultr[wres] << (32-EXTRABITS);
1241 tresulti[wres] = t.resulti[wres] << (32-EXTRABITS);
1242 if(strict) {
1243 ulptolerance = 4096; /* one ulp */
1244 } else {
1245 ulptolerance = t.func->tolerance;
1246 }
1247 rshift = ishift = 0;
1248 if (ulptolerance & ABSLOWERBOUND) {
1249 /*
1250 * Hack for the lgamma functions, which have an
1251 * error behaviour that can't conveniently be
1252 * characterised in pure ULPs. Really, we want to
1253 * say that the error in lgamma is "at most N ULPs,
1254 * or at most an absolute error of X, whichever is
1255 * larger", for appropriately chosen N,X. But since
1256 * these two functions are the only cases where it
1257 * arises, I haven't bothered to do it in a nice way
1258 * in the function table above.
1259 *
1260 * (The difficult cases arise with negative input
1261 * values such that |gamma(x)| is very near to 1; in
1262 * this situation implementations tend to separately
1263 * compute lgamma(|x|) and the log of the correction
1264 * term from the Euler reflection formula, and
1265 * subtract - which catastrophically loses
1266 * significance.)
1267 *
1268 * As far as I can tell, nobody cares about this:
1269 * GNU libm doesn't get those cases right either,
1270 * and OpenCL explicitly doesn't state a ULP error
1271 * limit for lgamma. So my guess is that this is
1272 * simply considered acceptable error behaviour for
1273 * this particular function, and hence I feel free
1274 * to allow for it here.
1275 */
1276 ulptolerance &= ~ABSLOWERBOUND;
1277 if (t.op1r[0] & 0x80000000) {
1278 if (t.func->rettype == rt_d)
1279 rshift = 0x400 - ((tresultr[0] >> 20) & 0x7ff);
1280 else if (t.func->rettype == rt_s)
1281 rshift = 0x80 - ((tresultr[0] >> 23) & 0xff);
1282 if (rshift < 0)
1283 rshift = 0;
1284 }
1285 }
1286 if (ulptolerance & PLUSMINUSPIO2) {
1287 ulptolerance &= ~PLUSMINUSPIO2;
1288 /*
1289 * Hack for range reduction, which can reduce
1290 * borderline cases in the wrong direction, i.e.
1291 * return a value just outside one end of the interval
1292 * [-pi/4,+pi/4] when it could have returned a value
1293 * just inside the other end by subtracting an
1294 * adjacent multiple of pi/2.
1295 *
1296 * We tolerate this, up to a point, because the
1297 * trigonometric functions making use of the output of
1298 * rred can cope and because making the range reducer
1299 * do the exactly right thing in every case would be
1300 * more expensive.
1301 */
1302 if (wres == 1) {
1303 /* Upper bound of overshoot derived in rredf.h */
1304 if ((resultr[0]&0x7FFFFFFF) <= 0x3f494b02 &&
1305 (resultr[0]&0x7FFFFFFF) > 0x3f490fda &&
1306 (resultr[0]&0x80000000) != (tresultr[0]&0x80000000)) {
1307 unsigned long long val;
1308 val = tresultr[0];
1309 val = (val << 32) | tresultr[1];
1310 /*
1311 * Compute the alternative permitted result by
1312 * subtracting from the sum of the extended
1313 * single-precision bit patterns of +pi/4 and
1314 * -pi/4. This is a horrible hack which only
1315 * works because we can be confident that
1316 * numbers in this range all have the same
1317 * exponent!
1318 */
1319 val = 0xfe921fb54442d184ULL - val;
1320 tresultr[0] = val >> 32;
1321 tresultr[1] = (val >> (32-EXTRABITS)) << (32-EXTRABITS);
1322 /*
1323 * Also, expect a correspondingly different
1324 * value of res2 as a result of this change.
1325 * The adjustment depends on whether we just
1326 * flipped the result from + to - or vice
1327 * versa.
1328 */
1329 if (resultr[0] & 0x80000000) {
1330 res2_adjust = +1;
1331 } else {
1332 res2_adjust = -1;
1333 }
1334 }
1335 }
1336 }
1337 ulpsr = calc_error(resultr, tresultr, rshift, t.func->rettype);
1338 if(is_complex_rettype(t.func->rettype)) {
1339 ulpsi = calc_error(resulti, tresulti, ishift, t.func->rettype);
1340 } else {
1341 ulpsi = 0;
1342 }
1343 unsigned *rr = (ulpsr > ulptolerance || ulpsr < -ulptolerance) ? resultr : NULL;
1344 unsigned *ri = (ulpsi > ulptolerance || ulpsi < -ulptolerance) ? resulti : NULL;
1345 /* printf("tolerance=%i, ulpsr=%i, ulpsi=%i, rr=%p, ri=%p\n",ulptolerance,ulpsr,ulpsi,rr,ri); */
1346 if (rr || ri) {
1347 if (quiet) failtext[0]='x';
1348 else {
1349 print_error(t.func->rettype,rr,"wrongresultr",&failp);
1350 print_error(t.func->rettype,ri,"wrongresulti",&failp);
1351 print_ulps(t.func->rettype,rr ? ulpsr : 0, ri ? ulpsi : 0,&failp);
1352 }
1353 }
1354 } else {
1355 if(is_complex_rettype(t.func->rettype))
1356 /*
1357 * Complex functions are not fully supported,
1358 * this is unreachable, but prevents warnings.
1359 */
1360 abort();
1361 /*
1362 * The test case data has provided the result in
1363 * exactly the output precision. Therefore we must
1364 * complain about _any_ violation.
1365 */
1366 switch(t.func->rettype) {
1367 case rt_dc:
1368 canon_dNaN(tresulti);
1369 canon_dNaN(resulti);
1370 if (fo) {
1371 dnormzero(tresulti);
1372 dnormzero(resulti);
1373 }
1374 /* deliberate fall-through */
1375 case rt_d:
1376 canon_dNaN(tresultr);
1377 canon_dNaN(resultr);
1378 if (fo) {
1379 dnormzero(tresultr);
1380 dnormzero(resultr);
1381 }
1382 break;
1383 case rt_sc:
1384 canon_sNaN(tresulti);
1385 canon_sNaN(resulti);
1386 if (fo) {
1387 snormzero(tresulti);
1388 snormzero(resulti);
1389 }
1390 /* deliberate fall-through */
1391 case rt_s:
1392 canon_sNaN(tresultr);
1393 canon_sNaN(resultr);
1394 if (fo) {
1395 snormzero(tresultr);
1396 snormzero(resultr);
1397 }
1398 break;
1399 default:
1400 break;
1401 }
1402 if(is_complex_rettype(t.func->rettype)) {
1403 unsigned *rr, *ri;
1404 if(resultr[0] != tresultr[0] ||
1405 (wres > 1 && resultr[1] != tresultr[1])) {
1406 rr = resultr;
1407 } else {
1408 rr = NULL;
1409 }
1410 if(resulti[0] != tresulti[0] ||
1411 (wres > 1 && resulti[1] != tresulti[1])) {
1412 ri = resulti;
1413 } else {
1414 ri = NULL;
1415 }
1416 if(rr || ri) {
1417 if (quiet) failtext[0]='x';
1418 print_error(t.func->rettype,rr,"wrongresultr",&failp);
1419 print_error(t.func->rettype,ri,"wrongresulti",&failp);
1420 }
1421 } else if (resultr[0] != tresultr[0] ||
1422 (wres > 1 && resultr[1] != tresultr[1])) {
1423 if (quiet) failtext[0]='x';
1424 print_error(t.func->rettype,resultr,"wrongresult",&failp);
1425 }
1426 }
1427 /*
1428 * Now test res2, for those functions (frexp, modf, rred)
1429 * which use it.
1430 */
1431 if (t.func->func.ptr == &frexp || t.func->func.ptr == &frexpf ||
1432 t.func->macro_name == m_rred || t.func->macro_name == m_rredf) {
1433 unsigned tres2 = t.res2[0];
1434 if (res2_adjust) {
1435 /* Fix for range reduction, propagated from further up */
1436 tres2 = (tres2 + res2_adjust) & 3;
1437 }
1438 if (tres2 != intres) {
1439 if (quiet) failtext[0]='x';
1440 else {
1441 failp += sprintf(failp,
1442 " wrongres2=%08x", intres);
1443 }
1444 }
1445 } else if (t.func->func.ptr == &modf || t.func->func.ptr == &modff) {
1446 tresultr[0] = t.res2[0];
1447 tresultr[1] = t.res2[1];
1448 if (is_double_rettype(t.func->rettype)) {
1449 canon_dNaN(tresultr);
1450 resultr[0] = d_res2.i[dmsd];
1451 resultr[1] = d_res2.i[dlsd];
1452 canon_dNaN(resultr);
1453 if (fo) {
1454 dnormzero(tresultr);
1455 dnormzero(resultr);
1456 }
1457 } else {
1458 canon_sNaN(tresultr);
1459 resultr[0] = s_res2.i;
1460 resultr[1] = s_res2.i;
1461 canon_sNaN(resultr);
1462 if (fo) {
1463 snormzero(tresultr);
1464 snormzero(resultr);
1465 }
1466 }
1467 if (resultr[0] != tresultr[0] ||
1468 (wres > 1 && resultr[1] != tresultr[1])) {
1469 if (quiet) failtext[0]='x';
1470 else {
1471 if (is_double_rettype(t.func->rettype))
1472 failp += sprintf(failp, " wrongres2=%08x.%08x",
1473 resultr[0], resultr[1]);
1474 else
1475 failp += sprintf(failp, " wrongres2=%08x",
1476 resultr[0]);
1477 }
1478 }
1479 }
1480 }
1481
1482 /* Check errno */
1483 err = (errno == EDOM ? e_EDOM : errno == ERANGE ? e_ERANGE : e_0);
1484 if (err != t.err && err != t.maybeerr) {
1485 if (quiet) failtext[0]='x';
1486 else {
1487 failp += sprintf(failp, " wrongerrno=%s expecterrno=%s ", errnos[err], errnos[t.err]);
1488 }
1489 }
1490
1491 return *failtext ? test_fail : test_pass;
1492 }
1493
1494 int passed, failed, declined;
1495
runtests(char * name,FILE * fp)1496 void runtests(char *name, FILE *fp) {
1497 char testbuf[512], linebuf[512];
1498 int lineno = 1;
1499 testdetail test;
1500
1501 test.valid = 0;
1502
1503 if (verbose) printf("runtests: %s\n", name);
1504 while (fgets(testbuf, sizeof(testbuf), fp)) {
1505 int res, print_errno;
1506 testbuf[strcspn(testbuf, "\r\n")] = '\0';
1507 strcpy(linebuf, testbuf);
1508 test = parsetest(testbuf, test);
1509 print_errno = 0;
1510 while (test.in_err < test.in_err_limit) {
1511 res = runtest(test);
1512 if (res == test_pass) {
1513 if (verbose)
1514 printf("%s:%d: pass\n", name, lineno);
1515 ++passed;
1516 } else if (res == test_decline) {
1517 if (verbose)
1518 printf("%s:%d: declined\n", name, lineno);
1519 ++declined;
1520 } else if (res == test_fail) {
1521 if (!quiet)
1522 printf("%s:%d: FAIL%s: %s%s%s%s\n", name, lineno,
1523 test.random ? " (random)" : "",
1524 linebuf,
1525 print_errno ? " errno_in=" : "",
1526 print_errno ? errnos[test.in_err] : "",
1527 failtext);
1528 ++failed;
1529 } else if (res == test_invalid) {
1530 printf("%s:%d: malformed: %s\n", name, lineno, linebuf);
1531 ++failed;
1532 }
1533 test.in_err++;
1534 print_errno = 1;
1535 }
1536 lineno++;
1537 }
1538 }
1539
main(int ac,char ** av)1540 int main(int ac, char **av) {
1541 char **files;
1542 int i, nfiles = 0;
1543 dbl d;
1544
1545 #ifdef MICROLIB
1546 /*
1547 * Invent argc and argv ourselves.
1548 */
1549 char *argv[256];
1550 char args[256];
1551 {
1552 int sargs[2];
1553 char *p;
1554
1555 ac = 0;
1556
1557 sargs[0]=(int)args;
1558 sargs[1]=(int)sizeof(args);
1559 if (!__semihost(0x15, sargs)) {
1560 args[sizeof(args)-1] = '\0'; /* just in case */
1561 p = args;
1562 while (1) {
1563 while (*p == ' ' || *p == '\t') p++;
1564 if (!*p) break;
1565 argv[ac++] = p;
1566 while (*p && *p != ' ' && *p != '\t') p++;
1567 if (*p) *p++ = '\0';
1568 }
1569 }
1570
1571 av = argv;
1572 }
1573 #endif
1574
1575 /* Sort tfuncs */
1576 qsort(tfuncs, sizeof(tfuncs)/sizeof(test_func), sizeof(test_func), &compare_tfuncs);
1577
1578 /*
1579 * Autodetect the `double' endianness.
1580 */
1581 dmsd = 0;
1582 d.f = 1.0; /* 0x3ff00000 / 0x00000000 */
1583 if (d.i[dmsd] == 0) {
1584 dmsd = 1;
1585 }
1586 /*
1587 * Now dmsd denotes what the compiler thinks we're at. Let's
1588 * check that it agrees with what the runtime thinks.
1589 */
1590 d.i[0] = d.i[1] = 0x11111111;/* a random +ve number */
1591 d.f /= d.f; /* must now be one */
1592 if (d.i[dmsd] == 0) {
1593 fprintf(stderr, "YIKES! Compiler and runtime disagree on endianness"
1594 " of `double'. Bailing out\n");
1595 return 1;
1596 }
1597 dlsd = !dmsd;
1598
1599 /* default is terse */
1600 verbose = 0;
1601 fo = 0;
1602 strict = 0;
1603
1604 files = (char **)malloc((ac+1) * sizeof(char *));
1605 if (!files) {
1606 fprintf(stderr, "initial malloc failed!\n");
1607 return 1;
1608 }
1609 #ifdef NOCMDLINE
1610 files[nfiles++] = "testfile";
1611 #endif
1612
1613 while (--ac) {
1614 char *p = *++av;
1615 if (*p == '-') {
1616 static char *options[] = {
1617 "-fo",
1618 #if 0
1619 "-noinexact",
1620 "-noround",
1621 #endif
1622 "-nostatus",
1623 "-quiet",
1624 "-strict",
1625 "-v",
1626 "-verbose",
1627 };
1628 enum {
1629 op_fo,
1630 #if 0
1631 op_noinexact,
1632 op_noround,
1633 #endif
1634 op_nostatus,
1635 op_quiet,
1636 op_strict,
1637 op_v,
1638 op_verbose,
1639 };
1640 switch (find(p, options, sizeof(options))) {
1641 case op_quiet:
1642 quiet = 1;
1643 break;
1644 #if 0
1645 case op_noinexact:
1646 statusmask &= 0x0F; /* remove bit 4 */
1647 break;
1648 case op_noround:
1649 doround = 0;
1650 break;
1651 #endif
1652 case op_nostatus: /* no status word => noinx,noround */
1653 statusmask = 0;
1654 doround = 0;
1655 break;
1656 case op_v:
1657 case op_verbose:
1658 verbose = 1;
1659 break;
1660 case op_fo:
1661 fo = 1;
1662 break;
1663 case op_strict: /* tolerance is 1 ulp */
1664 strict = 1;
1665 break;
1666 default:
1667 fprintf(stderr, "unrecognised option: %s\n", p);
1668 break;
1669 }
1670 } else {
1671 files[nfiles++] = p;
1672 }
1673 }
1674
1675 passed = failed = declined = 0;
1676
1677 if (nfiles) {
1678 for (i = 0; i < nfiles; i++) {
1679 FILE *fp = fopen(files[i], "r");
1680 if (!fp) {
1681 fprintf(stderr, "Couldn't open %s\n", files[i]);
1682 } else
1683 runtests(files[i], fp);
1684 }
1685 } else
1686 runtests("(stdin)", stdin);
1687
1688 printf("Completed. Passed %d, failed %d (total %d",
1689 passed, failed, passed+failed);
1690 if (declined)
1691 printf(" plus %d declined", declined);
1692 printf(")\n");
1693 if (failed || passed == 0)
1694 return 1;
1695 printf("** TEST PASSED OK **\n");
1696 return 0;
1697 }
1698
undef_func()1699 void undef_func() {
1700 failed++;
1701 puts("ERROR: undefined function called");
1702 }
1703