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
|
#include <stdio.h>
#include <stddef.h>
#include <stdint.h>
#define FFLAG_NX_SHIFT 0 /* inexact */
#define FFLAG_UF_SHIFT 1 /* underflow */
#define FFLAG_OF_SHIFT 2 /* overflow */
#define FFLAG_DZ_SHIFT 3 /* divide by zero */
#define FFLAG_NV_SHIFT 4 /* invalid operation */
#define FFLAG_NV (1UL << FFLAG_NV_SHIFT)
#define FFLAG_DZ (1UL << FFLAG_DZ_SHIFT)
#define FFLAG_OF (1UL << FFLAG_OF_SHIFT)
#define FFLAG_UF (1UL << FFLAG_UF_SHIFT)
#define FFLAG_NX (1UL << FFLAG_NX_SHIFT)
typedef struct fp64_fcvt_fcvtmod_testcase {
const char* name;
union {
uint64_t inp_lu;
double inp_lf;
};
uint64_t exp_fcvt;
uint8_t exp_fcvt_fflags;
uint64_t exp_fcvtmod;
uint8_t exp_fcvtmod_fflags;
} fp64_fcvt_fcvtmod_testcase_t;
void print_fflags(uint8_t fflags)
{
int set = 0;
if (fflags == 0) {
printf("-");
return;
}
if (fflags & FFLAG_NV) {
printf("%sFFLAG_NV", set ? " | " : "");
set = 1;
}
if (fflags & FFLAG_DZ) {
printf("%sFFLAG_DZ", set ? " | " : "");
set = 1;
}
if (fflags & FFLAG_OF) {
printf("%sFFLAG_OF", set ? " | " : "");
set = 1;
}
if (fflags & FFLAG_UF) {
printf("%sFFLAG_UF", set ? " | " : "");
set = 1;
}
if (fflags & FFLAG_NX) {
printf("%sFFLAG_NX", set ? " | " : "");
set = 1;
}
}
/* Clear all FP flags. */
static inline void clear_fflags()
{
__asm__ __volatile__("fsflags zero");
}
/* Read all FP flags. */
static inline uint8_t get_fflags()
{
uint64_t v;
__asm__ __volatile__("frflags %0" : "=r"(v));
return (uint8_t)v;
}
/* Move input value (without conversations) into an FP register. */
static inline double do_fmv_d_x(uint64_t inp)
{
double fpr;
__asm__ __volatile__("fmv.d.x %0, %1" : "=f"(fpr) : "r"(inp));
return fpr;
}
static inline uint64_t do_fcvt_w_d(uint64_t inp, uint8_t *fflags)
{
uint64_t ret;
double fpr = do_fmv_d_x(inp);
clear_fflags();
__asm__ __volatile__("fcvt.w.d %0, %1, rtz" : "=r"(ret) : "f"(fpr));
*fflags = get_fflags();
return ret;
}
static inline uint64_t do_fcvtmod_w_d(uint64_t inp, uint8_t *fflags)
{
uint64_t ret;
double fpr = do_fmv_d_x(inp);
clear_fflags();
/* fcvtmod.w.d rd, rs1, rtz = 1100001 01000 rs1 001 rd 1010011 */
asm(".insn r 0x53, 0x1, 0x61, %0, %1, f8" : "=r"(ret) : "f"(fpr));
*fflags = get_fflags();
return ret;
}
static const fp64_fcvt_fcvtmod_testcase_t tests[] = {
/* Zero (exp=0, frac=0) */
{ .name = "+0.0",
.inp_lf = 0x0p0,
.exp_fcvt = 0x0000000000000000,
.exp_fcvt_fflags = 0,
.exp_fcvtmod = 0x0000000000000000,
.exp_fcvtmod_fflags = 0 },
{ .name = "-0.0",
.inp_lf = -0x0p0,
.exp_fcvt = 0x0000000000000000,
.exp_fcvt_fflags = 0,
.exp_fcvtmod = 0x0000000000000000,
.exp_fcvtmod_fflags = 0 },
/* Subnormal: exp=0 frac!=0 */
{ .name = "Subnormal frac=1",
.inp_lu = 0x0000000000000001,
.exp_fcvt = 0x0000000000000000,
.exp_fcvt_fflags = FFLAG_NX,
.exp_fcvtmod = 0,
.exp_fcvtmod_fflags = FFLAG_NX },
{ .name = "Subnormal frac=0xf..f",
.inp_lu = 0x0000ffffffffffff,
.exp_fcvt = 0x0000000000000000,
.exp_fcvt_fflags = FFLAG_NX,
.exp_fcvtmod = 0,
.exp_fcvtmod_fflags = FFLAG_NX },
{ .name = "Neg subnormal frac=1",
.inp_lu = 0x0000000000000001,
.exp_fcvt = 0x0000000000000000,
.exp_fcvt_fflags = FFLAG_NX,
.exp_fcvtmod = 0,
.exp_fcvtmod_fflags = FFLAG_NX },
{ .name = "Neg subnormal frac=0xf..f",
.inp_lu = 0x8000ffffffffffff,
.exp_fcvt = 0x0000000000000000,
.exp_fcvt_fflags = FFLAG_NX,
.exp_fcvtmod = 0,
.exp_fcvtmod_fflags = FFLAG_NX },
/* Infinity: exp=0x7ff, frac=0 */
{ .name = "+INF",
.inp_lu = 0x7ff0000000000000,
.exp_fcvt = 0x000000007fffffff, /* int32 max */
.exp_fcvt_fflags = FFLAG_NV,
.exp_fcvtmod = 0,
.exp_fcvtmod_fflags = FFLAG_NV },
{ .name = "-INF",
.inp_lu = 0xfff0000000000000,
.exp_fcvt = 0xffffffff80000000, /* int32 min */
.exp_fcvt_fflags = FFLAG_NV,
.exp_fcvtmod = 0,
.exp_fcvtmod_fflags = FFLAG_NV },
/* NaN: exp=7ff, frac!=0 */
{ .name = "canonical NaN",
.inp_lu = 0x7ff8000000000000,
.exp_fcvt = 0x000000007fffffff, /* int32 max */
.exp_fcvt_fflags = FFLAG_NV,
.exp_fcvtmod = 0,
.exp_fcvtmod_fflags = FFLAG_NV },
{ .name = "non-canonical NaN",
.inp_lu = 0x7ff8000000100000,
.exp_fcvt = 0x000000007fffffff, /* int32 min */
.exp_fcvt_fflags = FFLAG_NV,
.exp_fcvtmod = 0,
.exp_fcvtmod_fflags = FFLAG_NV },
/* Normal numbers: exp!=0, exp!=7ff */
{ .name = "+smallest normal value",
.inp_lu = 0x0010000000000000,
.exp_fcvt = 0,
.exp_fcvt_fflags = FFLAG_NX,
.exp_fcvtmod = 0,
.exp_fcvtmod_fflags = FFLAG_NX },
{ .name = "-smallest normal value",
.inp_lu = 0x8010000000000000,
.exp_fcvt = 0,
.exp_fcvt_fflags = FFLAG_NX,
.exp_fcvtmod = 0,
.exp_fcvtmod_fflags = FFLAG_NX },
{ .name = "+0.5",
.inp_lf = 0x1p-1,
.exp_fcvt = 0,
.exp_fcvt_fflags = FFLAG_NX,
.exp_fcvtmod = 0,
.exp_fcvtmod_fflags = FFLAG_NX },
{ .name = "-0.5",
.inp_lf = -0x1p-1,
.exp_fcvt = 0,
.exp_fcvt_fflags = FFLAG_NX,
.exp_fcvtmod = 0,
.exp_fcvtmod_fflags = FFLAG_NX },
{ .name = "+value just below 1.0",
.inp_lu = 0x3fefffffffffffff,
.exp_fcvt = 0,
.exp_fcvt_fflags = FFLAG_NX,
.exp_fcvtmod = 0,
.exp_fcvtmod_fflags = FFLAG_NX },
{ .name = "-value just above -1.0",
.inp_lu = 0xbfefffffffffffff,
.exp_fcvt = 0,
.exp_fcvt_fflags = FFLAG_NX,
.exp_fcvtmod = 0,
.exp_fcvtmod_fflags = FFLAG_NX },
{ .name = "+1.0",
.inp_lf = 0x1p0,
.exp_fcvt = 0x0000000000000001,
.exp_fcvt_fflags = 0,
.exp_fcvtmod = 0x0000000000000001,
.exp_fcvtmod_fflags = 0 },
{ .name = "-1.0",
.inp_lf = -0x1p0,
.exp_fcvt = 0xffffffffffffffff,
.exp_fcvt_fflags = 0,
.exp_fcvtmod = 0xffffffffffffffff,
.exp_fcvtmod_fflags = 0 },
{ .name = "+1.5",
.inp_lu = 0x3ff8000000000000,
.exp_fcvt = 1,
.exp_fcvt_fflags = FFLAG_NX,
.exp_fcvtmod = 1,
.exp_fcvtmod_fflags = FFLAG_NX },
{ .name = "-1.5",
.inp_lu = 0xbff8000000000000,
.exp_fcvt = 0xffffffffffffffff,
.exp_fcvt_fflags = FFLAG_NX,
.exp_fcvtmod = 0xffffffffffffffff,
.exp_fcvtmod_fflags = FFLAG_NX },
{ .name = "+max int32 (2147483647)",
.inp_lu = 0x41dfffffffc00000,
.exp_fcvt = 0x000000007fffffff,
.exp_fcvt_fflags = 0,
.exp_fcvtmod = 0x000000007fffffff,
.exp_fcvtmod_fflags = 0 },
{ .name = "+max int32 +1 (2147483648)",
.inp_lf = 0x1p31,
.exp_fcvt = 0x000000007fffffff,
.exp_fcvt_fflags = FFLAG_NV,
.exp_fcvtmod = (uint64_t)-2147483648l, /* int32 min */
.exp_fcvtmod_fflags = FFLAG_NV },
{ .name = "+max int32 +2 (2147483649)",
.inp_lu = 0x41e0000000200000,
.exp_fcvt = 0x000000007fffffff,
.exp_fcvt_fflags = FFLAG_NV,
.exp_fcvtmod = (uint64_t)-2147483647l, /* int32 min +1 */
.exp_fcvtmod_fflags = FFLAG_NV },
{ .name = "-max int32 (-2147483648)",
.inp_lf = -0x1p31,
.exp_fcvt = 0xffffffff80000000,
.exp_fcvt_fflags = 0,
.exp_fcvtmod = 0xffffffff80000000,
.exp_fcvtmod_fflags = 0 },
{ .name = "-max int32 -1 (-2147483649)",
.inp_lf = -0x1.00000002p+31,
.exp_fcvt = 0xffffffff80000000,
.exp_fcvt_fflags = FFLAG_NV,
.exp_fcvtmod = 2147483647, /* int32 max */
.exp_fcvtmod_fflags = FFLAG_NV },
{ .name = "-max int32 -2 (-2147483650)",
.inp_lf = -0x1.00000004p+31,
.exp_fcvt = 0xffffffff80000000,
.exp_fcvt_fflags = FFLAG_NV,
.exp_fcvtmod = 2147483646, /* int32 max -1 */
.exp_fcvtmod_fflags = FFLAG_NV },
};
int run_fcvtmod_tests()
{
uint64_t act_fcvt;
uint8_t act_fcvt_fflags;
uint64_t act_fcvtmod;
uint8_t act_fcvtmod_fflags;
for (size_t i = 0; i < sizeof(tests)/sizeof(tests[0]); i++) {
const fp64_fcvt_fcvtmod_testcase_t *t = &tests[i];
act_fcvt = do_fcvt_w_d(t->inp_lu, &act_fcvt_fflags);
int fcvt_correct = act_fcvt == t->exp_fcvt &&
act_fcvt_fflags == t->exp_fcvt_fflags;
act_fcvtmod = do_fcvtmod_w_d(t->inp_lu, &act_fcvtmod_fflags);
int fcvtmod_correct = act_fcvtmod == t->exp_fcvtmod &&
act_fcvtmod_fflags == t->exp_fcvtmod_fflags;
if (fcvt_correct && fcvtmod_correct) {
continue;
}
printf("Test %zu (%s) failed!\n", i, t->name);
double fpr = do_fmv_d_x(t->inp_lu);
printf("inp_lu: 0x%016lx == %lf\n", t->inp_lu, fpr);
printf("inp_lf: %lf\n", t->inp_lf);
uint32_t sign = (t->inp_lu >> 63);
uint32_t exp = (uint32_t)(t->inp_lu >> 52) & 0x7ff;
uint64_t frac = t->inp_lu & 0xfffffffffffffull; /* significand */
int true_exp = exp - 1023;
int shift = true_exp - 52;
uint64_t true_frac = frac | 1ull << 52;
printf("sign=%d, exp=0x%03x, frac=0x%012lx\n", sign, exp, frac);
printf("true_exp=%d, shift=%d, true_frac=0x%016lx\n", true_exp, shift, true_frac);
if (!fcvt_correct) {
printf("act_fcvt: 0x%016lx == %li\n", act_fcvt, act_fcvt);
printf("exp_fcvt: 0x%016lx == %li\n", t->exp_fcvt, t->exp_fcvt);
printf("act_fcvt_fflags: "); print_fflags(act_fcvt_fflags); printf("\n");
printf("exp_fcvt_fflags: "); print_fflags(t->exp_fcvt_fflags); printf("\n");
}
if (!fcvtmod_correct) {
printf("act_fcvtmod: 0x%016lx == %li\n", act_fcvtmod, act_fcvtmod);
printf("exp_fcvtmod: 0x%016lx == %li\n", t->exp_fcvtmod, t->exp_fcvtmod);
printf("act_fcvtmod_fflags: "); print_fflags(act_fcvtmod_fflags); printf("\n");
printf("exp_fcvtmod_fflags: "); print_fflags(t->exp_fcvtmod_fflags); printf("\n");
}
return 1;
}
return 0;
}
int main()
{
return run_fcvtmod_tests();
}
|