tests/tcg/multiarch/float_helpers.c

   1 /*
   2  * Common Float Helpers
   3  *
   4  * This contains a series of useful utility routines and a set of
   5  * floating point constants useful for exercising the edge cases in
   6  * floating point tests.
   7  *
   8  * Copyright (c) 2019 Linaro
   9  *
  10  * SPDX-License-Identifier: GPL-3.0-or-later
  11  */
  12
  13 /* we want additional float type definitions */
  14 #define __STDC_WANT_IEC_60559_BFP_EXT__
  15 #define __STDC_WANT_IEC_60559_TYPES_EXT__
  16
  17 #define _GNU_SOURCE
  18 #include <stdio.h>
  19 #include <stdlib.h>
  20 #include <inttypes.h>
  21 #include <math.h>
  22 #include <float.h>
  23 #include <fenv.h>
  24
  25 #include "float_helpers.h"
  26
  27 #define ARRAY_SIZE(x) (sizeof(x) / sizeof((x)[0]))
  28
  29 /*
  30  * Half Precision Numbers
  31  *
  32  * Not yet well standardised so we return a plain uint16_t for now.
  33  */
  34
  35 /* no handy defines for these numbers */
  36 static uint16_t f16_numbers[] = {
  37     0xffff, /* -NaN / AHP -Max */
  38     0xfcff, /* -NaN / AHP */
  39     0xfc01, /* -NaN / AHP */
  40     0xfc00, /* -Inf */
  41     0xfbff, /* -Max */
  42     0xc000, /* -2 */
  43     0xbc00, /* -1 */
  44     0x8001, /* -MIN subnormal */
  45     0x8000, /* -0 */
  46     0x0000, /* +0 */
  47     0x0001, /* MIN subnormal */
  48     0x3c00, /* 1 */
  49     0x7bff, /* Max */
  50     0x7c00, /* Inf */
  51     0x7c01, /* NaN / AHP */
  52     0x7cff, /* NaN / AHP */
  53     0x7fff, /* NaN / AHP +Max*/
  54 };
  55
  56 static const int num_f16 = ARRAY_SIZE(f16_numbers);
  57
  58 int get_num_f16(void)
  59 {
  60     return num_f16;
  61 }
  62
  63 uint16_t get_f16(int i)
  64 {
  65     return f16_numbers[i % num_f16];
  66 }
  67
  68 /* only display as hex */
  69 char *fmt_16(uint16_t num)
  70 {
  71     char *fmt;
  72     asprintf(&fmt, "f16(%#04x)", num);
  73     return fmt;
  74 }
  75
  76 /*
  77  * Single Precision Numbers
  78  */
  79
  80 #ifndef SNANF
  81 /* Signaling NaN macros, if supported.  */
  82 #  define SNANF (__builtin_nansf (""))
  83 #  define SNAN (__builtin_nans (""))
  84 #  define SNANL (__builtin_nansl (""))
  85 #endif
  86
  87 static float f32_numbers[] = {
  88     -SNANF,
  89     -NAN,
  90     -INFINITY,
  91     -FLT_MAX,
  92     -0x1.1874b2p+103,
  93     -0x1.c0bab6p+99,
  94     -0x1.31f75p-40,
  95     -0x1.505444p-66,
  96     -FLT_MIN,
  97     0.0,
  98     FLT_MIN,
  99     0x1p-25,
 100     0x1.ffffe6p-25, /* min positive FP16 subnormal */
 101     0x1.ff801ap-15, /* max subnormal FP16 */
 102     0x1.00000cp-14, /* min positive normal FP16 */
 103     1.0,
 104     0x1.004p+0, /* smallest float after 1.0 FP16 */
 105     2.0,
 106     M_E, M_PI,
 107     0x1.ffbep+15,
 108     0x1.ffcp+15, /* max FP16 */
 109     0x1.ffc2p+15,
 110     0x1.ffbfp+16,
 111     0x1.ffcp+16, /* max AFP */
 112     0x1.ffc1p+16,
 113     0x1.c0bab6p+99,
 114     FLT_MAX,
 115     INFINITY,
 116     NAN,
 117     SNANF
 118 };
 119
 120 static const int num_f32 = ARRAY_SIZE(f32_numbers);
 121
 122 int get_num_f32(void)
 123 {
 124     return num_f32;
 125 }
 126
 127 float get_f32(int i)
 128 {
 129     return f32_numbers[i % num_f32];
 130 }
 131
 132 char *fmt_f32(float num)
 133 {
 134     uint32_t single_as_hex = *(uint32_t *) &num;
 135     char *fmt;
 136     asprintf(&fmt, "f32(%02.20a:%#010x)", num, single_as_hex);
 137     return fmt;
 138 }
 139
 140
 141 /* This allows us to initialise some doubles as pure hex */
 142 typedef union {
 143     double d;
 144     uint64_t h;
 145 } test_doubles;
 146
 147 static test_doubles f64_numbers[] = {
 148     {SNAN},
 149     {-NAN},
 150     {-INFINITY},
 151     {-DBL_MAX},
 152     {-FLT_MAX-1.0},
 153     {-FLT_MAX},
 154     {-1.111E+31},
 155     {-1.111E+30}, /* half prec */
 156     {-2.0}, {-1.0},
 157     {-DBL_MIN},
 158     {-FLT_MIN},
 159     {0.0},
 160     {FLT_MIN},
 161     {2.98023224e-08},
 162     {5.96046E-8}, /* min positive FP16 subnormal */
 163     {6.09756E-5}, /* max subnormal FP16 */
 164     {6.10352E-5}, /* min positive normal FP16 */
 165     {1.0},
 166     {1.0009765625}, /* smallest float after 1.0 FP16 */
 167     {DBL_MIN},
 168     {1.3789972848607228e-308},
 169     {1.4914738736681624e-308},
 170     {1.0}, {2.0},
 171     {M_E}, {M_PI},
 172     {65503.0},
 173     {65504.0}, /* max FP16 */
 174     {65505.0},
 175     {131007.0},
 176     {131008.0}, /* max AFP */
 177     {131009.0},
 178     {.h = 0x41dfffffffc00000 }, /* to int = 0x7fffffff */
 179     {FLT_MAX},
 180     {FLT_MAX + 1.0},
 181     {DBL_MAX},
 182     {INFINITY},
 183     {NAN},
 184     {.h = 0x7ff0000000000001}, /* SNAN */
 185     {SNAN},
 186 };
 187
 188 static const int num_f64 = ARRAY_SIZE(f64_numbers);
 189
 190 int get_num_f64(void)
 191 {
 192     return num_f64;
 193 }
 194
 195 double get_f64(int i)
 196 {
 197     return f64_numbers[i % num_f64].d;
 198 }
 199
 200 char *fmt_f64(double num)
 201 {
 202     uint64_t double_as_hex = *(uint64_t *) &num;
 203     char *fmt;
 204     asprintf(&fmt, "f64(%02.20a:%#020" PRIx64 ")", num, double_as_hex);
 205     return fmt;
 206 }
 207
 208 /*
 209  * Float flags
 210  */
 211 char *fmt_flags(void)
 212 {
 213     int flags = fetestexcept(FE_ALL_EXCEPT);
 214     char *fmt;
 215
 216     if (flags) {
 217         asprintf(&fmt, "%s%s%s%s%s",
 218                  flags & FE_OVERFLOW ? "OVERFLOW " : "",
 219                  flags & FE_UNDERFLOW ? "UNDERFLOW " : "",
 220                  flags & FE_DIVBYZERO ? "DIV0 " : "",
 221                  flags & FE_INEXACT ? "INEXACT " : "",
 222                  flags & FE_INVALID ? "INVALID" : "");
 223     } else {
 224         asprintf(&fmt, "OK");
 225     }
 226
 227     return fmt;
 228 }