+++ /dev/null
-
-/* Copyright (C) 2006 Dave Nomura
- dcnltc@us.ibm.com
-
- This program is free software; you can redistribute it and/or
- modify it under the terms of the GNU General Public License as
- published by the Free Software Foundation; either version 2 of the
- License, or (at your option) any later version.
-
- This program is distributed in the hope that it will be useful, but
- WITHOUT ANY WARRANTY; without even the implied warranty of
- MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
- General Public License for more details.
-
- You should have received a copy of the GNU General Public License
- along with this program; if not, write to the Free Software
- Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
- 02111-1307, USA.
-
- The GNU General Public License is contained in the file COPYING.
-*/
-
-#include <stdio.h>
-#include <stdlib.h>
-#include <limits.h>
-
-typedef enum { FALSE=0, TRUE } bool_t;
-
-typedef enum {
- FADDS, FSUBS, FMULS, FDIVS,
- FMADDS, FMSUBS, FNMADDS, FNMSUBS,
- FADD, FSUB, FMUL, FDIV, FMADD,
- FMSUB, FNMADD, FNMSUB, FSQRT
-} flt_op_t;
-
-typedef enum {
- TO_NEAREST=0, TO_ZERO, TO_PLUS_INFINITY, TO_MINUS_INFINITY } round_mode_t;
-char *round_mode_name[] = { "near", "zero", "+inf", "-inf" };
-
-const char *flt_op_names[] = {
- "fadds", "fsubs", "fmuls", "fdivs",
- "fmadds", "fmsubs", "fnmadds", "fnmsubs",
- "fadd", "fsub", "fmul", "fdiv", "fmadd", "fmsub", "fnmadd",
- "fnmsub", "fsqrt"
-};
-
-typedef unsigned int fpscr_t;
-
-typedef union {
- float flt;
- struct {
-#if defined(VGP_ppc64le_linux)
- unsigned int frac:23;
- unsigned int exp:8;
- unsigned int sign:1;
-#else
- unsigned int sign:1;
- unsigned int exp:8;
- unsigned int frac:23;
-#endif
- } layout;
-} flt_overlay;
-
-typedef union {
- double dbl;
- struct {
-#if defined(VGP_ppc64le_linux)
- unsigned int frac_lo:32;
- unsigned int frac_hi:20;
- unsigned int exp:11;
- unsigned int sign:1;
-#else
- unsigned int sign:1;
- unsigned int exp:11;
- unsigned int frac_hi:20;
- unsigned int frac_lo:32;
-#endif
- } layout;
- struct {
- unsigned int hi;
- unsigned int lo;
- } dbl_pair;
-} dbl_overlay;
-
-void assert_fail(const char *msg,
- const char* expr, const char* file, int line, const char*fn);
-
-#define STRING(__str) #__str
-#define assert(msg, expr) \
- ((void) ((expr) ? 0 : \
- (assert_fail (msg, STRING(expr), \
- __FILE__, __LINE__, \
- __PRETTY_FUNCTION__), 0)))
-float denorm_small;
-double dbl_denorm_small;
-float norm_small;
-bool_t debug = FALSE;
-bool_t long_is_64_bits = sizeof(long) == 8;
-
-void assert_fail (msg, expr, file, line, fn)
-const char* msg;
-const char* expr;
-const char* file;
-int line;
-const char*fn;
-{
- printf( "\n%s: %s:%d (%s): Assertion `%s' failed.\n",
- msg, file, line, fn, expr );
- exit( 1 );
-}
-void set_rounding_mode(round_mode_t mode)
-{
- switch(mode) {
- case TO_NEAREST:
- asm volatile("mtfsfi 7, 0");
- break;
- case TO_ZERO:
- asm volatile("mtfsfi 7, 1");
- break;
- case TO_PLUS_INFINITY:
- asm volatile("mtfsfi 7, 2");
- break;
- case TO_MINUS_INFINITY:
- asm volatile("mtfsfi 7, 3");
- break;
- }
-}
-
-void print_double(char *msg, double dbl)
-{
- dbl_overlay D;
- D.dbl = dbl;
-
- printf("%15s : dbl %-20a = %c(%4d, %05x%08x)\n",
- msg, D.dbl, (D.layout.sign == 0 ? '+' : '-'),
- D.layout.exp, D.layout.frac_hi, D.layout.frac_lo);
-}
-
-void print_single(char *msg, float *flt)
-{
- flt_overlay F;
- F.flt = *flt;
-
- /* NOTE: for the purposes of comparing the fraction of a single with
- ** a double left shift the .frac so that hex digits are grouped
- ** from left to right. this is necessary because the size of a
- ** single mantissa (23) bits is not a multiple of 4
- */
- printf("%15s : flt %-20a = %c(%4d, %06x)\n",
- msg, F.flt, (F.layout.sign == 0 ? '+' : '-'), F.layout.exp, F.layout.frac << 1);
-}
-
-int check_dbl_to_flt_round(round_mode_t mode, double dbl, float *expected)
-{
- int status = 0;
- flt_overlay R, E;
- char *result;
-
- set_rounding_mode(mode);
-
- E.flt = *expected;
- R.flt = (float)dbl;
-
- if ((R.layout.sign != E.layout.sign) ||
- (R.layout.exp != E.layout.exp) ||
- (R.layout.frac != E.layout.frac)) {
- result = "FAILED";
- status = 1;
- } else {
- result = "PASSED";
- status = 0;
- }
- printf("%s:%s:(double)(%-20a) = %20a",
- round_mode_name[mode], result, R.flt, dbl);
- if (status) {
- print_single("\n\texpected", &E.flt);
- print_single("\n\trounded ", &R.flt);
- }
- putchar('\n');
- return status;
-}
-
-int test_dbl_to_float_convert(char *msg, float *base)
-{
- int status = 0;
- double half = (double)denorm_small/2;
- double qtr = half/2;
- double D_hi = (double)*base + half + qtr;
- double D_lo = (double)*base + half - qtr;
- float F_lo = *base;
- float F_hi = F_lo + denorm_small;
-
-
- /*
- ** .....+-----+-----+-----+-----+---....
- ** ^F_lo ^ ^ ^
- ** D_lo
- ** D_hi
- ** F_hi
- ** F_lo and F_hi are two consecutive single float model numbers
- ** denorm_small distance apart. D_lo and D_hi are two numbers
- ** within that range that are not representable as single floats
- ** and will be rounded to either F_lo or F_hi.
- */
- printf("-------------------------- %s --------------------------\n", msg);
- if (debug) {
- print_double("D_lo", D_lo);
- print_double("D_hi", D_hi);
- print_single("F_lo", &F_lo);
- print_single("F_hi", &F_hi);
- }
-
- /* round to nearest */
- status |= check_dbl_to_flt_round(TO_NEAREST, D_hi, &F_hi);
- status |= check_dbl_to_flt_round(TO_NEAREST, D_lo, &F_lo);
-
- /* round to zero */
- status |= check_dbl_to_flt_round(TO_ZERO, D_hi, (D_hi > 0 ? &F_lo : &F_hi));
- status |= check_dbl_to_flt_round(TO_ZERO, D_lo, (D_hi > 0 ? &F_lo : &F_hi));
-
- /* round to +inf */
- status |= check_dbl_to_flt_round(TO_PLUS_INFINITY, D_hi, &F_hi);
- status |= check_dbl_to_flt_round(TO_PLUS_INFINITY, D_lo, &F_hi);
-
- /* round to -inf */
- status |= check_dbl_to_flt_round(TO_MINUS_INFINITY, D_hi, &F_lo);
- status |= check_dbl_to_flt_round(TO_MINUS_INFINITY, D_lo, &F_lo);
- return status;
-}
-
-void
-init()
-{
- flt_overlay F;
- dbl_overlay D;
-
- /* small is the smallest denormalized single float number */
- F.layout.sign = 0;
- F.layout.exp = 0;
- F.layout.frac = 1;
- denorm_small = F.flt; /* == 2^(-149) */
- if (debug) {
- print_single("float small", &F.flt);
- }
-
- D.layout.sign = 0;
- D.layout.exp = 0;
- D.layout.frac_hi = 0;
- D.layout.frac_lo = 1;
- dbl_denorm_small = D.dbl; /* == 2^(-1022) */
- if (debug) {
- print_double("double small", D.dbl);
- }
-
- /* n_small is the smallest normalized single precision float */
- F.layout.exp = 1;
- norm_small = F.flt;
-}
-
-int check_int_to_flt_round(round_mode_t mode, long L, float *expected)
-{
- int status = 0;
- int I = L;
- char *int_name = "int";
- flt_overlay R, E;
- char *result;
- int iter;
-
- set_rounding_mode(mode);
- E.flt = *expected;
-
- for (iter = 0; iter < 2; iter++) {
- int stat = 0;
- R.flt = (iter == 0 ? (float)I : (float)L);
-
- if ((R.layout.sign != E.layout.sign) ||
- (R.layout.exp != E.layout.exp) ||
- (R.layout.frac != E.layout.frac)) {
- result = "FAILED";
- stat = 1;
- } else {
- result = "PASSED";
- stat = 0;
- }
- printf("%s:%s:(float)(%4s)%9d = %11.1f",
- round_mode_name[mode], result, int_name, I, R.flt);
- if (stat) {
- print_single("\n\texpected: %.1f ", &E.flt);
- print_single("\n\trounded ", &R.flt);
- }
- putchar('\n');
- status |= stat;
-
- if (!long_is_64_bits) break;
- int_name = "long";
- }
- return status;
-}
-
-int check_long_to_dbl_round(round_mode_t mode, long L, double *expected)
-{
- int status = 0;
- dbl_overlay R, E;
- char *result;
-
- set_rounding_mode(mode);
- E.dbl = *expected;
-
- R.dbl = (double)L;
-
- if ((R.layout.sign != E.layout.sign) ||
- (R.layout.exp != E.layout.exp) ||
- (R.layout.frac_lo != E.layout.frac_lo) ||
- (R.layout.frac_hi != E.layout.frac_hi)) {
- result = "FAILED";
- status = 1;
- } else {
- result = "PASSED";
- status = 0;
- }
- printf("%s:%s:(double)(%18ld) = %20.1f",
- round_mode_name[mode], result, L, R.dbl);
- if (status) {
- printf("\n\texpected %.1f : ", E.dbl);
- }
- putchar('\n');
- return status;
-}
-
-int test_int_to_float_convert(char *msg)
-{
- int status = 0;
- int int24_hi = 0x03ff0fff;
- int int24_lo = 0x03ff0ffd;
- float pos_flt_lo = 67047420.0;
- float pos_flt_hi = 67047424.0;
- float neg_flt_lo = -67047420.0;
- float neg_flt_hi = -67047424.0;
-
- printf("-------------------------- %s --------------------------\n", msg);
- status |= check_int_to_flt_round(TO_NEAREST, int24_lo, &pos_flt_lo);
- status |= check_int_to_flt_round(TO_NEAREST, int24_hi, &pos_flt_hi);
- status |= check_int_to_flt_round(TO_ZERO, int24_lo, &pos_flt_lo);
- status |= check_int_to_flt_round(TO_ZERO, int24_hi, &pos_flt_lo);
- status |= check_int_to_flt_round(TO_PLUS_INFINITY, int24_lo, &pos_flt_hi);
- status |= check_int_to_flt_round(TO_PLUS_INFINITY, int24_hi, &pos_flt_hi);
- status |= check_int_to_flt_round(TO_MINUS_INFINITY, int24_lo, &pos_flt_lo);
- status |= check_int_to_flt_round(TO_MINUS_INFINITY, int24_hi, &pos_flt_lo);
-
- status |= check_int_to_flt_round(TO_NEAREST, -int24_lo, &neg_flt_lo);
- status |= check_int_to_flt_round(TO_NEAREST, -int24_hi, &neg_flt_hi);
- status |= check_int_to_flt_round(TO_ZERO, -int24_lo, &neg_flt_lo);
- status |= check_int_to_flt_round(TO_ZERO, -int24_hi, &neg_flt_lo);
- status |= check_int_to_flt_round(TO_PLUS_INFINITY, -int24_lo, &neg_flt_lo);
- status |= check_int_to_flt_round(TO_PLUS_INFINITY, -int24_hi, &neg_flt_lo);
- status |= check_int_to_flt_round(TO_MINUS_INFINITY, -int24_lo, &neg_flt_hi);
- status |= check_int_to_flt_round(TO_MINUS_INFINITY, -int24_hi, &neg_flt_hi);
- return status;
-}
-
-#ifdef __powerpc64__
-int test_long_to_double_convert(char *msg)
-{
- int status = 0;
- long long55_hi = 0x07ff0ffffffffff;
- long long55_lo = 0x07ff0fffffffffd;
- double pos_dbl_lo = 36012304344547324.0;
- double pos_dbl_hi = 36012304344547328.0;
- double neg_dbl_lo = -36012304344547324.0;
- double neg_dbl_hi = -36012304344547328.0;
-
- printf("-------------------------- %s --------------------------\n", msg);
- status |= check_long_to_dbl_round(TO_NEAREST, long55_lo, &pos_dbl_lo);
- status |= check_long_to_dbl_round(TO_NEAREST, long55_hi, &pos_dbl_hi);
- status |= check_long_to_dbl_round(TO_ZERO, long55_lo, &pos_dbl_lo);
- status |= check_long_to_dbl_round(TO_ZERO, long55_hi, &pos_dbl_lo);
- status |= check_long_to_dbl_round(TO_PLUS_INFINITY, long55_lo, &pos_dbl_hi);
- status |= check_long_to_dbl_round(TO_PLUS_INFINITY, long55_hi, &pos_dbl_hi);
- status |= check_long_to_dbl_round(TO_MINUS_INFINITY, long55_lo, &pos_dbl_lo);
- status |= check_long_to_dbl_round(TO_MINUS_INFINITY, long55_hi, &pos_dbl_lo);
-
- status |= check_long_to_dbl_round(TO_NEAREST, -long55_lo, &neg_dbl_lo);
- status |= check_long_to_dbl_round(TO_NEAREST, -long55_hi, &neg_dbl_hi);
- status |= check_long_to_dbl_round(TO_ZERO, -long55_lo, &neg_dbl_lo);
- status |= check_long_to_dbl_round(TO_ZERO, -long55_hi, &neg_dbl_lo);
- status |= check_long_to_dbl_round(TO_PLUS_INFINITY, -long55_lo, &neg_dbl_lo);
- status |= check_long_to_dbl_round(TO_PLUS_INFINITY, -long55_hi, &neg_dbl_lo);
- status |= check_long_to_dbl_round(TO_MINUS_INFINITY, -long55_lo, &neg_dbl_hi);
- status |= check_long_to_dbl_round(TO_MINUS_INFINITY, -long55_hi, &neg_dbl_hi);
- return status;
-}
-#endif
-
-int check_single_arithmetic_op(flt_op_t op)
-{
- char *result;
- int status = 0;
- dbl_overlay R, E;
- double qtr, half, fA, fB, fD;
- round_mode_t mode;
- int q, s;
- bool_t two_args = TRUE;
- float whole = denorm_small;
-
-#define BINOP(op) \
- __asm__ volatile( \
- op" %0, %1, %2\n\t" \
- : "=f"(fD) : "f"(fA) , "f"(fB));
-#define UNOP(op) \
- __asm__ volatile( \
- op" %0, %1\n\t" \
- : "=f"(fD) : "f"(fA));
-
- half = (double)whole/2;
- qtr = half/2;
-
- if (debug) {
- print_double("qtr", qtr);
- print_double("whole", whole);
- print_double("2*whole", 2*whole);
- }
-
- for (mode = TO_NEAREST; mode <= TO_MINUS_INFINITY; mode++)
- for (s = -1; s < 2; s += 2)
- for (q = 1; q < 4; q += 2) {
- double expected;
- double lo = s*whole;
- double hi = s*2*whole;
-
- switch(op) {
- case FADDS:
- fA = s*whole;
- fB = s*q*qtr;
- break;
- case FSUBS:
- fA = s*2*whole;
- fB = s*(q == 1 ? 3 : 1)*qtr;
- break;
- case FMULS:
- fA = 0.5;
- fB = s*(4+q)*half;
- break;
- case FDIVS:
- fA = s*(4+q)*half;
- fB = 2.0;
- break;
- default:
- assert("check_single_arithmetic_op: unexpected op",
- FALSE);
- break;
- }
-
- switch(mode) {
- case TO_NEAREST:
- expected = (q == 1 ? lo : hi);
- break;
- case TO_ZERO:
- expected = lo;
- break;
- case TO_PLUS_INFINITY:
- expected = (s == 1 ? hi : lo);
- break;
- case TO_MINUS_INFINITY:
- expected = (s == 1 ? lo : hi);
- break;
- }
-
- set_rounding_mode(mode);
-
- /*
- ** do the double precision dual operation just for comparison
- ** when debugging
- */
- switch(op) {
- case FADDS:
- BINOP("fadds");
- R.dbl = fD;
- BINOP("fadd");
- break;
- case FSUBS:
- BINOP("fsubs");
- R.dbl = fD;
- BINOP("fsub");
- break;
- case FMULS:
- BINOP("fmuls");
- R.dbl = fD;
- BINOP("fmul");
- break;
- case FDIVS:
- BINOP("fdivs");
- R.dbl = fD;
- BINOP("fdiv");
- break;
- default:
- assert("check_single_arithmetic_op: unexpected op",
- FALSE);
- break;
- }
-#undef UNOP
-#undef BINOP
-
- E.dbl = expected;
-
- if ((R.layout.sign != E.layout.sign) ||
- (R.layout.exp != E.layout.exp) ||
- (R.layout.frac_lo != E.layout.frac_lo) ||
- (R.layout.frac_hi != E.layout.frac_hi)) {
- result = "FAILED";
- status = 1;
- } else {
- result = "PASSED";
- status = 0;
- }
-
- printf("%s:%s:%s(%-13a",
- round_mode_name[mode], result, flt_op_names[op], fA);
- if (two_args) printf(", %-13a", fB);
- printf(") = %-13a", R.dbl);
- if (status) printf("\n\texpected %a", E.dbl);
- putchar('\n');
-
- if (debug) {
- print_double("hi", hi);
- print_double("lo", lo);
- print_double("expected", expected);
- print_double("got", R.dbl);
- print_double("double result", fD);
- }
- }
-
- return status;
-}
-
-int check_single_guarded_arithmetic_op(flt_op_t op)
-{
- typedef struct {
- int num, den, frac;
- } fdivs_t;
-
- char *result;
- int status = 0;
- flt_overlay A, B, Z;
- dbl_overlay Res, Exp;
- double fA, fB, fC, fD;
- round_mode_t mode;
- int g, s;
- int arg_count;
-
- fdivs_t divs_guard_cases[16] = {
- { 105, 56, 0x700000 }, /* : 0 */
- { 100, 57, 0x608FB8 }, /* : 1 */
- { 000, 00, 0x000000 }, /* : X */
- { 100, 52, 0x762762 }, /* : 3 */
- { 000, 00, 0x000000 }, /* : X */
- { 100, 55, 0x68BA2E }, /* : 5 */
- { 000, 00, 0x000000 }, /* : X */
- { 100, 51, 0x7AFAFA }, /* : 7 */
- { 000, 00, 0x000000 }, /* : X */
- { 100, 56, 0x649249 }, /* : 9 */
- { 000, 00, 0x000000 }, /* : X */
- { 100, 54, 0x6D097B }, /* : B */
- { 000, 00, 0x000000 }, /* : X */
- { 100, 59, 0x58F2FB }, /* : D */
- { 000, 00, 0x000000 }, /* : X */
- { 101, 52, 0x789D89 } /* : F */
- };
-
- /* 0x1.00000 00000000p-3 */
- /* set up the invariant fields of B, the arg to cause rounding */
- B.flt = 0.0;
- B.layout.exp = 124; /* -3 */
-
- /* set up args so result is always Z = 1.200000000000<g>p+0 */
- Z.flt = 1.0;
- Z.layout.sign = 0;
-
-#define TERNOP(op) \
- arg_count = 3; \
- __asm__ volatile( \
- op" %0, %1, %2, %3\n\t" \
- : "=f"(fD) : "f"(fA) , "f"(fB), "f"(fC));
-#define BINOP(op) \
- arg_count = 2; \
- __asm__ volatile( \
- op" %0, %1, %2\n\t" \
- : "=f"(fD) : "f"(fA) , "f"(fB));
-#define UNOP(op) \
- arg_count = 1; \
- __asm__ volatile( \
- op" %0, %1\n\t" \
- : "=f"(fD) : "f"(fA));
-
- for (mode = TO_NEAREST; mode <= TO_MINUS_INFINITY; mode++)
- for (s = -1; s < 2; s += 2)
- for (g = 0; g < 16; g += 1) {
- double lo, hi, expected;
- int LSB;
- int guard = 0;
- int z_sign = s;
-
- /*
- ** one argument will have exponent = 0 as will the result (by
- ** design) so choose the other argument with exponent -3 to
- ** force a 3 bit shift for scaling leaving us with 3 guard bits
- ** and the LSB bit at the bottom of the manitssa.
- */
- switch(op) {
- case FADDS:
- /* 1p+0 + 1.00000<g>p-3 */
- B.layout.frac = g;
-
- fB = s*B.flt;
- fA = s*1.0;
-
- /* set up Z to be truncated result */
-
- /* mask off LSB from resulting guard bits */
- guard = g & 7;
-
- Z.layout.frac = 0x100000 | (g >> 3);
- break;
- case FSUBS:
- /* 1.200002p+0 - 1.000000000000<g>p-3 */
- A.flt = 1.125;
- /* add enough to avoid scaling of the result */
- A.layout.frac |= 0x2;
- fA = s*A.flt;
-
- B.layout.frac = g;
- fB = s*B.flt;
-
- /* set up Z to be truncated result */
- guard = (0x10-g);
- Z.layout.frac = guard>>3;
-
- /* mask off LSB from resulting guard bits */
- guard &= 7;
- break;
- case FMULS:
- /* 1 + g*2^-23 */
- A.flt = 1.0;
- A.layout.frac = g;
- fA = s*A.flt;
- fB = 1.125;
-
- /* set up Z to be truncated result */
- Z.flt = 1.0;
- Z.layout.frac = 0x100000;
- Z.layout.frac |= g + (g>>3);
- guard = g & 7;
- break;
- case FDIVS:
- /* g >> 3 == LSB, g & 7 == guard bits */
- guard = g & 7;
- if ((guard & 1) == 0) {
- /* special case: guard bit X = 0 */
- A.flt = denorm_small;
- A.layout.frac = g;
- fA = A.flt;
- fB = s*8.0;
- Z.flt = 0.0;
- Z.layout.frac |= (g >> 3);
- } else {
- fA = s*divs_guard_cases[g].num;
- fB = divs_guard_cases[g].den;
-
- Z.flt = 1.0;
- Z.layout.frac = divs_guard_cases[g].frac;
- }
- break;
- case FMADDS:
- case FMSUBS:
- case FNMADDS:
- case FNMSUBS:
- /* 1 + g*2^-23 */
- A.flt = 1.0;
- A.layout.frac = g;
- fA = s*A.flt;
- fB = 1.125;
-
- /* 1.000001p-1 */
- A.flt = 0.5;
- A.layout.frac = 1;
- fC = (op == FMADDS || op == FNMADDS ? s : -s)*A.flt;
-
- /* set up Z to be truncated result */
- z_sign = (op == FNMADDS || op == FNMSUBS ? -s : s);
- guard = ((g & 7) + 0x4) & 7;
- Z.flt = 1.0;
- Z.layout.frac = 0x500000;
- Z.layout.frac |= g + (g>>3) + ((g & 7)>> 2 ? 1 : 0);
- break;
- default:
- assert("check_single_arithmetic_op: unexpected op",
- FALSE);
- break;
- }
-
- /* get LSB for tie breaking */
- LSB = Z.layout.frac & 1;
-
- /* set up hi and lo */
- lo = z_sign*Z.flt;
- Z.layout.frac += 1;
- hi = z_sign*Z.flt;
-
- switch(mode) {
- case TO_NEAREST:
- /* look at 3 guard bits to determine expected rounding */
- switch(guard) {
- case 0:
- case 1: case 2: case 3:
- expected = lo;
- break;
- case 4: /* tie: round to even */
- if (debug) printf("tie: LSB = %d\n", LSB);
- expected = (LSB == 0 ? lo : hi);
- break;
- case 5: case 6: case 7:
- expected = hi;
- break;
- default:
- assert("check_single_guarded_arithmetic_op: unexpected guard",
- FALSE);
- }
- break;
- case TO_ZERO:
- expected = lo;
- break;
- case TO_PLUS_INFINITY:
- if (guard == 0) {
- /* no rounding */
- expected = lo;
- } else {
- expected = (s == 1 ? hi : lo);
- }
- break;
- case TO_MINUS_INFINITY:
- if (guard == 0) {
- /* no rounding */
- expected = lo;
- } else {
- expected = (s == 1 ? lo : hi);
- }
- break;
- }
-
- set_rounding_mode(mode);
-
- /*
- ** do the double precision dual operation just for comparison
- ** when debugging
- */
- switch(op) {
- case FADDS:
- BINOP("fadds");
- Res.dbl = fD;
- break;
- case FSUBS:
- BINOP("fsubs");
- Res.dbl = fD;
- break;
- case FMULS:
- BINOP("fmuls");
- Res.dbl = fD;
- break;
- case FDIVS:
- BINOP("fdivs");
- Res.dbl = fD;
- break;
- case FMADDS:
- TERNOP("fmadds");
- Res.dbl = fD;
- break;
- case FMSUBS:
- TERNOP("fmsubs");
- Res.dbl = fD;
- break;
- case FNMADDS:
- TERNOP("fnmadds");
- Res.dbl = fD;
- break;
- case FNMSUBS:
- TERNOP("fnmsubs");
- Res.dbl = fD;
- break;
- default:
- assert("check_single_guarded_arithmetic_op: unexpected op",
- FALSE);
- break;
- }
-#undef UNOP
-#undef BINOP
-#undef TERNOP
-
- Exp.dbl = expected;
-
- if ((Res.layout.sign != Exp.layout.sign) ||
- (Res.layout.exp != Exp.layout.exp) ||
- (Res.layout.frac_lo != Exp.layout.frac_lo) ||
- (Res.layout.frac_hi != Exp.layout.frac_hi)) {
- result = "FAILED";
- status = 1;
- } else {
- result = "PASSED";
- status = 0;
- }
-
- /* There seems to be some noise in the lower bits. The value
- * on the least significant digit seems to vary when printing
- * based on the rounding mode of the compiler. Just trying
- * to get rid of the noise in the least significant bits when
- * printing the operand.
- */
-
- fA = ((long int)(fA*10000))/10000.0;
- /* Change -0.0 to a positive 0.0. Some compilers print -0.0
- * others do not. Make it consistent.
- */
- if (fA == -0.0)
- fA = 0.0;
-
- printf("%s:%s:%s(%-13.6f",
- round_mode_name[mode], result, flt_op_names[op], fA);
- if (arg_count > 1) printf(", %-13a", fB);
- if (arg_count > 2) printf(", %-13a", fC);
- printf(") = %-13a", Res.dbl);
- if (status) printf("\n\texpected %a", Exp.dbl);
- putchar('\n');
-
- if (debug) {
- print_double("hi", hi);
- print_double("lo", lo);
- print_double("expected", expected);
- print_double("got", Res.dbl);
- }
- }
-
- return status;
-}
-
-int check_double_guarded_arithmetic_op(flt_op_t op)
-{
- typedef struct {
- int num, den, hi, lo;
- } fdiv_t;
- typedef struct {
- double arg;
- int exp, hi, lo;
- } fsqrt_t;
-
- char *result;
- int status = 0;
- dbl_overlay A, B, Z;
- dbl_overlay Res, Exp;
- double fA, fB, fC, fD;
- round_mode_t mode;
- int g, s;
- int arg_count;
- fdiv_t div_guard_cases[16] = {
- { 62, 62, 0x00000, 0x00000000 }, /* 0 */
- { 64, 62, 0x08421, 0x08421084 }, /* 1 */
- { 66, 62, 0x10842, 0x10842108 }, /* 2 */
- { 100, 62, 0x9ce73, 0x9ce739ce }, /* 3 */
- { 100, 62, 0x9ce73, 0x9ce739ce }, /* X */
- { 102, 62, 0xa5294, 0xa5294a52 }, /* 5 */
- { 106, 62, 0xb5ad6, 0xb5ad6b5a }, /* 6 */
- { 108, 62, 0xbdef7, 0xbdef7bde }, /* 7 */
- { 108, 108, 0x00000, 0x00000000 }, /* 8 */
- { 112, 62, 0xce739, 0xce739ce7 }, /* 9 */
- { 114, 62, 0xd6b5a, 0xd6b5ad6b }, /* A */
- { 116, 62, 0xdef7b, 0xdef7bdef }, /* B */
- { 84, 62, 0x5ad6b, 0x5ad6b5ad }, /* X */
- { 118, 62, 0xe739c, 0xe739ce73 }, /* D */
- { 90, 62, 0x739ce, 0x739ce739 }, /* E */
- { 92, 62, 0x7bdef, 0x7bdef7bd } /* F */
- };
-
-
- fsqrt_t sqrt_guard_cases[16] = {
- { 0x1.08800p0, 0, 0x04371, 0xd9ab72fb}, /* :0 B8.8440 */
- { 0x0.D2200p0, -1, 0xcfdca, 0xf353049e}, /* :1 A4.6910 */
- { 0x1.A8220p0, 0, 0x49830, 0x2b49cd6d}, /* :2 E9.D411 */
- { 0x1.05A20p0, 0, 0x02cd1, 0x3b44f3bf}, /* :3 B7.82D1 */
- { 0x0.CA820p0, -1, 0xc7607, 0x3cec0937}, /* :4 A1.6541 */
- { 0x1.DCA20p0, 0, 0x5d4f8, 0xd4e4c2b2}, /* :5 F7.EE51 */
- { 0x1.02C80p0, 0, 0x01630, 0x9cde7483}, /* :6 B6.8164 */
- { 0x0.DC800p0, -1, 0xdb2cf, 0xe686fe7c}, /* :7 A8.6E40 */
- { 0x0.CF920p0, -1, 0xcd089, 0xb6860626}, /* :8 A3.67C9 */
- { 0x1.1D020p0, 0, 0x0e1d6, 0x2e78ed9d}, /* :9 BF.8E81 */
- { 0x0.E1C80p0, -1, 0xe0d52, 0x6020fb6b}, /* :A AA.70E4 */
- { 0x0.C8000p0, -1, 0xc48c6, 0x001f0abf}, /* :B A0.6400 */
- { 0x1.48520p0, 0, 0x21e9e, 0xd813e2e2}, /* :C CD.A429 */
- { 0x0.F4C20p0, -1, 0xf4a1b, 0x09bbf0b0}, /* :D B1.7A61 */
- { 0x0.CD080p0, -1, 0xca348, 0x79b907ae}, /* :E A2.6684 */
- { 0x1.76B20p0, 0, 0x35b67, 0x81aed827} /* :F DB.BB59 */
- };
-
- /* 0x1.00000 00000000p-3 */
- /* set up the invariant fields of B, the arg to cause rounding */
- B.dbl = 0.0;
- B.layout.exp = 1020;
-
- /* set up args so result is always Z = 1.200000000000<g>p+0 */
- Z.dbl = 1.0;
- Z.layout.sign = 0;
-
-#define TERNOP(op) \
- arg_count = 3; \
- __asm__ volatile( \
- op" %0, %1, %2, %3\n\t" \
- : "=f"(fD) : "f"(fA) , "f"(fB), "f"(fC));
-#define BINOP(op) \
- arg_count = 2; \
- __asm__ volatile( \
- op" %0, %1, %2\n\t" \
- : "=f"(fD) : "f"(fA) , "f"(fB));
-#define UNOP(op) \
- arg_count = 1; \
- __asm__ volatile( \
- op" %0, %1\n\t" \
- : "=f"(fD) : "f"(fA));
-
- for (mode = TO_NEAREST; mode <= TO_MINUS_INFINITY; mode++)
- for (s = (op != FSQRT ? -1 : 1); s < 2; s += 2)
- for (g = 0; g < 16; g += 1) {
- double lo, hi, expected;
- int LSB;
- int guard;
- int z_sign = s;
-
- /*
- ** one argument will have exponent = 0 as will the result (by
- ** design) so choose the other argument with exponent -3 to
- ** force a 3 bit shift for scaling leaving us with 3 guard bits
- ** and the LSB bit at the bottom of the manitssa.
- */
- switch(op) {
- case FADD:
- /* 1p+0 + 1.000000000000<g>p-3 */
- B.layout.frac_lo = g;
-
- fB = s*B.dbl;
- fA = s*1.0;
-
- /* set up Z to be truncated result */
-
- /* mask off LSB from resulting guard bits */
- guard = g & 7;
-
- Z.layout.frac_hi = 0x20000;
- Z.layout.frac_lo = g >> 3;
-
- break;
- case FSUB:
- /* 1.2000000000002p+0 - 1.000000000000<g>p-3 */
- A.dbl = 1.125;
- /* add enough to avoid scaling of the result */
- A.layout.frac_lo = 0x2;
- fA = s*A.dbl;
-
- B.layout.frac_lo = g;
- fB = s*B.dbl;
-
- /* set up Z to be truncated result */
- guard = (0x10-g);
- Z.layout.frac_hi = 0x0;
- Z.layout.frac_lo = guard>>3;
-
- /* mask off LSB from resulting guard bits */
- guard &= 7;
- break;
- case FMUL:
- /* 1 + g*2^-52 */
- A.dbl = 1.0;
- A.layout.frac_lo = g;
- fA = s*A.dbl;
- fB = 1.125;
-
- /* set up Z to be truncated result */
- Z.dbl = 1.0;
- Z.layout.frac_hi = 0x20000;
- Z.layout.frac_lo = g + (g>>3);
- guard = g & 7;
- break;
- case FMADD:
- case FMSUB:
- case FNMADD:
- case FNMSUB:
- /* 1 + g*2^-52 */
- A.dbl = 1.0;
- A.layout.frac_lo = g;
- fA = s*A.dbl;
- fB = 1.125;
-
- /* 1.0000000000001p-1 */
- A.dbl = 0.5;
- A.layout.frac_lo = 1;
- fC = (op == FMADD || op == FNMADD ? s : -s)*A.dbl;
-
- /* set up Z to be truncated result */
- z_sign = (op == FNMADD || op == FNMSUB ? -s : s);
- guard = ((g & 7) + 0x4) & 7;
- Z.dbl = 1.0;
- Z.layout.frac_hi = 0xa0000;
- Z.layout.frac_lo = g + (g>>3) + ((g & 7)>> 2 ? 1 : 0);
- break;
- case FDIV:
- /* g >> 3 == LSB, g & 7 == guard bits */
- guard = g & 7;
- if (guard == 0x4) {
- /* special case guard bits == 4, inexact tie */
- fB = s*2.0;
- Z.dbl = 0.0;
- if (g >> 3) {
- fA = dbl_denorm_small + 2*dbl_denorm_small;
- Z.layout.frac_lo = 0x1;
- } else {
- fA = dbl_denorm_small;
- }
- } else {
- fA = s*div_guard_cases[g].num;
- fB = div_guard_cases[g].den;
-
- printf("%d/%d\n",
- s*div_guard_cases[g].num,
- div_guard_cases[g].den);
- Z.dbl = 1.0;
- Z.layout.frac_hi = div_guard_cases[g].hi;
- Z.layout.frac_lo = div_guard_cases[g].lo;
- }
- break;
- case FSQRT:
- fA = s*sqrt_guard_cases[g].arg;
- Z.dbl = 1.0;
- Z.layout.exp = sqrt_guard_cases[g].exp + 1023;
- Z.layout.frac_hi = sqrt_guard_cases[g].hi;
- Z.layout.frac_lo = sqrt_guard_cases[g].lo;
- guard = g >> 1;
- if (g & 1) guard |= 1;
- /* don't have test cases for when X bit = 0 */
- if (guard == 0 || guard == 4) continue;
- break;
- default:
- assert("check_double_guarded_arithmetic_op: unexpected op",
- FALSE);
- break;
- }
-
- /* get LSB for tie breaking */
- LSB = Z.layout.frac_lo & 1;
-
- /* set up hi and lo */
- lo = z_sign*Z.dbl;
- Z.layout.frac_lo += 1;
- hi = z_sign*Z.dbl;
-
- switch(mode) {
- case TO_NEAREST:
- /* look at 3 guard bits to determine expected rounding */
- switch(guard) {
- case 0:
- case 1: case 2: case 3:
- expected = lo;
- break;
- case 4: /* tie: round to even */
- if (debug) printf("tie: LSB = %d\n", LSB);
- expected = (LSB == 0 ? lo : hi);
- break;
- case 5: case 6: case 7:
- expected = hi;
- break;
- default:
- assert("check_double_guarded_arithmetic_op: unexpected guard",
- FALSE);
- }
- break;
- case TO_ZERO:
- expected = lo;
- break;
- case TO_PLUS_INFINITY:
- if (guard == 0) {
- /* no rounding */
- expected = lo;
- } else {
- expected = (s == 1 ? hi : lo);
- }
- break;
- case TO_MINUS_INFINITY:
- if (guard == 0) {
- /* no rounding */
- expected = lo;
- } else {
- expected = (s == 1 ? lo : hi);
- }
- break;
- }
-
- set_rounding_mode(mode);
-
- /*
- ** do the double precision dual operation just for comparison
- ** when debugging
- */
- switch(op) {
- case FADD:
- BINOP("fadd");
- Res.dbl = fD;
- break;
- case FSUB:
- BINOP("fsub");
- Res.dbl = fD;
- break;
- case FMUL:
- BINOP("fmul");
- Res.dbl = fD;
- break;
- case FMADD:
- TERNOP("fmadd");
- Res.dbl = fD;
- break;
- case FMSUB:
- TERNOP("fmsub");
- Res.dbl = fD;
- break;
- case FNMADD:
- TERNOP("fnmadd");
- Res.dbl = fD;
- break;
- case FNMSUB:
- TERNOP("fnmsub");
- Res.dbl = fD;
- break;
- case FDIV:
- BINOP("fdiv");
- Res.dbl = fD;
- break;
- case FSQRT:
- UNOP("fsqrt");
- Res.dbl = fD;
- break;
- default:
- assert("check_double_guarded_arithmetic_op: unexpected op",
- FALSE);
- break;
- }
-#undef UNOP
-#undef BINOP
-#undef TERNOP
-
- Exp.dbl = expected;
-
- if ((Res.layout.sign != Exp.layout.sign) ||
- (Res.layout.exp != Exp.layout.exp) ||
- (Res.layout.frac_lo != Exp.layout.frac_lo) ||
- (Res.layout.frac_hi != Exp.layout.frac_hi)) {
- result = "FAILED";
- status = 1;
- } else {
- result = "PASSED";
- status = 0;
- }
-
- printf("%s:%s:%s(%-13a",
- round_mode_name[mode], result, flt_op_names[op], fA);
- if (arg_count > 1) printf(", %-13a", fB);
- if (arg_count > 2) printf(", %-13a", fC);
- printf(") = %-13a", Res.dbl);
- if (status) printf("\n\texpected %a", Exp.dbl);
- putchar('\n');
-
- if (debug) {
- print_double("hi", hi);
- print_double("lo", lo);
- print_double("expected", expected);
- print_double("got", Res.dbl);
- }
- }
-
- return status;
-}
-
-int test_float_arithmetic_ops()
-{
- int status = 0;
- flt_op_t op;
-
- /*
- ** choose FP operands whose result should be rounded to either
- ** lo or hi.
- */
-
- printf("-------------------------- %s --------------------------\n",
- "test rounding of float operators without guard bits");
- for (op = FADDS; op <= FDIVS; op++) {
- status |= check_single_arithmetic_op(op);
- }
-
- printf("-------------------------- %s --------------------------\n",
- "test rounding of float operators with guard bits");
- for (op = FADDS; op <= FNMSUBS; op++) {
- status |= check_single_guarded_arithmetic_op(op);
- }
-
- printf("-------------------------- %s --------------------------\n",
- "test rounding of double operators with guard bits");
- for (op = FADD; op <= FSQRT; op++) {
- status |= check_double_guarded_arithmetic_op(op);
- }
- return status;
-}
-
-
-int
-main()
-{
- int status = 0;
-
- init();
-
- status |= test_dbl_to_float_convert("test denormalized convert", &denorm_small);
- status |= test_dbl_to_float_convert("test normalized convert", &norm_small);
- status |= test_int_to_float_convert("test (float)int convert");
- status |= test_int_to_float_convert("test (float)int convert");
-
-#ifdef __powerpc64__
- status |= test_long_to_double_convert("test (double)long convert");
-#endif
- status |= test_float_arithmetic_ops();
- return status;
-}
projects / thirdparty / valgrind.git / commitdiff
