/* * x86 FPREM test - executes the FPREM and FPREM1 instructions with corner case * operands and prints the operands, result and FPU status word. * * Run this on real hardware, then under QEMU, and diff the outputs, to compare * QEMU's implementation to your hardware. The 'run-test-i386-fprem' make * target does this. * * Copyright (c) 2003 Fabrice Bellard * Copyright (c) 2012 Catalin Patulea * * 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, see . */ #include "qemu/compiler.h" #include "qemu/osdep.h" #include #include /* * Inspired by 's union ieee854_long_double, but with single * long long mantissa fields and assuming little-endianness for simplicity. */ union float80u { long double d; /* This is the IEEE 854 double-extended-precision format. */ struct { unsigned long long mantissa:63; unsigned int one:1; unsigned int exponent:15; unsigned int negative:1; unsigned int empty:16; } QEMU_PACKED ieee; /* This is for NaNs in the IEEE 854 double-extended-precision format. */ struct { unsigned long long mantissa:62; unsigned int quiet_nan:1; unsigned int one:1; unsigned int exponent:15; unsigned int negative:1; unsigned int empty:16; } QEMU_PACKED ieee_nan; }; #define IEEE854_LONG_DOUBLE_BIAS 0x3fff static const union float80u q_nan = { .ieee_nan.negative = 0, /* X */ .ieee_nan.exponent = 0x7fff, .ieee_nan.one = 1, .ieee_nan.quiet_nan = 1, .ieee_nan.mantissa = 0, }; static const union float80u s_nan = { .ieee_nan.negative = 0, /* X */ .ieee_nan.exponent = 0x7fff, .ieee_nan.one = 1, .ieee_nan.quiet_nan = 0, .ieee_nan.mantissa = 1, /* nonzero */ }; static const union float80u pos_inf = { .ieee.negative = 0, .ieee.exponent = 0x7fff, .ieee.one = 1, .ieee.mantissa = 0, }; static const union float80u pseudo_pos_inf = { /* "unsupported" */ .ieee.negative = 0, .ieee.exponent = 0x7fff, .ieee.one = 0, .ieee.mantissa = 0, }; static const union float80u pos_denorm = { .ieee.negative = 0, .ieee.exponent = 0, .ieee.one = 0, .ieee.mantissa = 1, }; static const union float80u smallest_positive_norm = { .ieee.negative = 0, .ieee.exponent = 1, .ieee.one = 1, .ieee.mantissa = 0, }; static void fninit() { asm volatile ("fninit\n"); } static long double fprem(long double a, long double b, uint16_t *sw) { long double result; asm volatile ("fprem\n" "fnstsw %1\n" : "=t" (result), "=m" (*sw) : "0" (a), "u" (b) : "st(1)"); return result; } static long double fprem1(long double a, long double b, uint16_t *sw) { long double result; asm volatile ("fprem1\n" "fnstsw %1\n" : "=t" (result), "=m" (*sw) : "0" (a), "u" (b) : "st(1)"); return result; } #define FPUS_IE (1 << 0) #define FPUS_DE (1 << 1) #define FPUS_ZE (1 << 2) #define FPUS_OE (1 << 3) #define FPUS_UE (1 << 4) #define FPUS_PE (1 << 5) #define FPUS_SF (1 << 6) #define FPUS_SE (1 << 7) #define FPUS_C0 (1 << 8) #define FPUS_C1 (1 << 9) #define FPUS_C2 (1 << 10) #define FPUS_TOP 0x3800 #define FPUS_C3 (1 << 14) #define FPUS_B (1 << 15) #define FPUS_EMASK 0x007f #define FPUC_EM 0x3f static void psw(uint16_t sw) { printf("SW: C3 TopC2C1C0\n"); printf("SW: %c %d %3d %d %d %d %c %c %c %c %c %c %c %c\n", sw & FPUS_B ? 'B' : 'b', !!(sw & FPUS_C3), (sw & FPUS_TOP) >> 11, !!(sw & FPUS_C2), !!(sw & FPUS_C1), !!(sw & FPUS_C0), (sw & FPUS_SE) ? 'S' : 's', (sw & FPUS_SF) ? 'F' : 'f', (sw & FPUS_PE) ? 'P' : 'p', (sw & FPUS_UE) ? 'U' : 'u', (sw & FPUS_OE) ? 'O' : 'o', (sw & FPUS_ZE) ? 'Z' : 'z', (sw & FPUS_DE) ? 'D' : 'd', (sw & FPUS_IE) ? 'I' : 'i'); } static void do_fprem(long double a, long double b) { const union float80u au = {.d = a}; const union float80u bu = {.d = b}; union float80u ru; uint16_t sw; printf("A: S=%d Exp=%04x Int=%d (QNaN=%d) Sig=%016llx (%.06Le)\n", au.ieee.negative, au.ieee.exponent, au.ieee.one, au.ieee_nan.quiet_nan, (unsigned long long)au.ieee.mantissa, a); printf("B: S=%d Exp=%04x Int=%d (QNaN=%d) Sig=%016llx (%.06Le)\n", bu.ieee.negative, bu.ieee.exponent, bu.ieee.one, bu.ieee_nan.quiet_nan, (unsigned long long)bu.ieee.mantissa, b); fflush(stdout); fninit(); ru.d = fprem(a, b, &sw); psw(sw); printf("R : S=%d Exp=%04x Int=%d (QNaN=%d) Sig=%016llx (%.06Le)\n", ru.ieee.negative, ru.ieee.exponent, ru.ieee.one, ru.ieee_nan.quiet_nan, (unsigned long long)ru.ieee.mantissa, ru.d); fninit(); ru.d = fprem1(a, b, &sw); psw(sw); printf("R1: S=%d Exp=%04x Int=%d (QNaN=%d) Sig=%016llx (%.06Le)\n", ru.ieee.negative, ru.ieee.exponent, ru.ieee.one, ru.ieee_nan.quiet_nan, (unsigned long long)ru.ieee.mantissa, ru.d); printf("\n"); } static void do_fprem_stack_underflow(void) { const long double a = 1.0; union float80u ru; uint16_t sw; fninit(); asm volatile ("fprem\n" "fnstsw %1\n" : "=t" (ru.d), "=m" (sw) : "0" (a) : "st(1)"); psw(sw); printf("R: S=%d Exp=%04x Int=%d (QNaN=%d) Sig=%016llx (%.06Le)\n", ru.ieee.negative, ru.ieee.exponent, ru.ieee.one, ru.ieee_nan.quiet_nan, (unsigned long long)ru.ieee.mantissa, ru.d); printf("\n"); } static void test_fprem_cases(void) { printf("= stack underflow =\n"); do_fprem_stack_underflow(); printf("= invalid operation =\n"); do_fprem(s_nan.d, 1.0); do_fprem(1.0, 0.0); do_fprem(pos_inf.d, 1.0); do_fprem(pseudo_pos_inf.d, 1.0); printf("= denormal =\n"); do_fprem(pos_denorm.d, 1.0); do_fprem(1.0, pos_denorm.d); /* printf("= underflow =\n"); */ /* TODO: Is there a case where FPREM raises underflow? */ } static void test_fprem_pairs(void) { unsigned long long count; unsigned int negative_index_a = 0; unsigned int negative_index_b = 0; static const unsigned int negative_values[] = { 0, 1, }; unsigned int exponent_index_a = 0; unsigned int exponent_index_b = 0; static const unsigned int exponent_values[] = { 0, 1, 2, IEEE854_LONG_DOUBLE_BIAS - 1, IEEE854_LONG_DOUBLE_BIAS, IEEE854_LONG_DOUBLE_BIAS + 1, 0x7ffd, 0x7ffe, 0x7fff, }; unsigned int one_index_a = 0; unsigned int one_index_b = 0; static const unsigned int one_values[] = { 0, 1, }; unsigned int quiet_nan_index_a = 0; unsigned int quiet_nan_index_b = 0; static const unsigned int quiet_nan_values[] = { 0, 1, }; unsigned int mantissa_index_a = 0; unsigned int mantissa_index_b = 0; static const unsigned long long mantissa_values[] = { 0, 1, 2, 0x3ffffffffffffffdULL, 0x3ffffffffffffffeULL, 0x3fffffffffffffffULL, }; for (count = 0; ; ++count) { #define INIT_FIELD(var, field) \ .ieee_nan.field = field##_values[field##_index_##var] const union float80u a = { INIT_FIELD(a, negative), INIT_FIELD(a, exponent), INIT_FIELD(a, one), INIT_FIELD(a, quiet_nan), INIT_FIELD(a, mantissa), }; const union float80u b = { INIT_FIELD(b, negative), INIT_FIELD(b, exponent), INIT_FIELD(b, one), INIT_FIELD(b, quiet_nan), INIT_FIELD(b, mantissa), }; #undef INIT_FIELD do_fprem(a.d, b.d); int carry = 1; #define CARRY_INTO(var, field) do { \ if (carry) { \ if (++field##_index_##var == ARRAY_SIZE(field##_values)) { \ field##_index_##var = 0; \ } else { \ carry = 0; \ } \ } \ } while (0) CARRY_INTO(b, mantissa); CARRY_INTO(b, quiet_nan); CARRY_INTO(b, one); CARRY_INTO(b, exponent); CARRY_INTO(b, negative); CARRY_INTO(a, mantissa); CARRY_INTO(a, quiet_nan); CARRY_INTO(a, one); CARRY_INTO(a, exponent); CARRY_INTO(a, negative); #undef CARRY_INTO if (carry) { break; } } fprintf(stderr, "test-i386-fprem: tested %llu cases\n", count); } int main(int argc, char **argv) { test_fprem_cases(); test_fprem_pairs(); return 0; }