#include #include #include typedef unsigned int UInt; typedef unsigned long long int ULong; typedef struct { double fres; UInt cr; UInt fpscr; } Result; static void set_NEAREST ( void ) { __asm__ __volatile__("mtfsb0 30 ; mtfsb0 31"); } static void set_ZERO ( void ) { __asm__ __volatile__("mtfsb0 30 ; mtfsb1 31"); } static void set_PosINF ( void ) { __asm__ __volatile__("mtfsb1 30 ; mtfsb0 31"); } static void set_NegINF ( void ) { __asm__ __volatile__("mtfsb1 30 ; mtfsb1 31"); } static ULong double_as_ULong ( double d ) { union { double dd; ULong ll; } u; assert(sizeof(u) == 8); u.dd = d; return u.ll; } static ULong round_with_mask ( ULong x, ULong mask ) { if (mask == 1) { switch (x & 1) { case 0: return x; case 1: return x+1; } assert(0); } if (mask == 3) { switch (x & 3) { case 0: return x; case 1: return x-1; case 2: return x+2; case 3: return x+1; } assert(0); } if (mask == 7) { switch (x & 7) { case 0: return x; case 1: return x-1; case 2: return x-2; case 3: return x-3; case 4: return x+4; case 5: return x+3; case 6: return x+2; case 7: return x+1; } assert(0); } if (mask == 15) { switch (x & 15) { case 0: return x; case 1: return x-1; case 2: return x-2; case 3: return x-3; case 4: return x-4; case 5: return x-5; case 6: return x-6; case 7: return x-7; case 8: return x+8; case 9: return x+7; case 10: return x+6; case 11: return x+5; case 12: return x+4; case 13: return x+3; case 14: return x+2; case 15: return x+1; } assert(0); } assert(0); } static void showResult ( Result r, ULong hideMask ) { /* hidemask should have 1 for every result bit we **don't** want to show. viz should be all zeroes normally. */ #if 0 printf("(%016llx cr1 0x%01x fprf 0x%02x)", double_as_ULong(r.fres) & ~hidemask, (r.cr >> 24) & 0xF, (r.fpscr >> 12) & 0x1F); #else printf("(%016llx cr1 ... fprf ...)", (hideMask == 0x1 || hideMask == 0x3 || hideMask == 0x7) ? round_with_mask( double_as_ULong(r.fres), hideMask ) : double_as_ULong(r.fres) & ~hideMask ); #endif } /* Give an insn string such as "fmadd %%f4, %%f1,%%f2,%%f3". Args are in f1, f2, f3, and result should go in f4. */ #define INSN(name,insn) \ \ static Result insn_##name ( double arg1, double arg2, double arg3 ) \ { \ struct { \ /* 0 */ double a1; \ /* 8 */ double a2; \ /* 16 */ double a3; \ /* 24 */ double res; \ /* 32 */ UInt fpscr_after; \ /* 36 */ UInt cr_after; \ } foo; \ assert(sizeof(foo) == 40); \ foo.a1 = foo.a2 = foo.a3 = foo.res = 0; \ foo.fpscr_after = foo.cr_after = 0; \ foo.a1 = arg1; \ foo.a2 = arg2; \ foo.a3 = arg3; \ __asm__ __volatile__( \ "lfd %%f1, 0(%0)\n\t" /* a1 */ \ "lfd %%f2, 8(%0)\n\t" /* a2 */ \ "lfd %%f3, 16(%0)\n\t" /* a3 */ \ insn "\n\t" \ "stfd %%f4, 24(%0)\n\t" /* res */ \ "mffs %%f4\n\t" \ "addi %0,%0,32\n\t" \ "stfiwx %%f4, %%r0,%0\n\t" /* fpscr_after. r0 reads as zero */ \ "addi %0,%0,-32\n\t" \ "mfcr %%r31\n\t" \ "stw %%r31, 36(%0)" /* cr_after */ \ : /*out*/ \ : /*in*/ "b" (&foo.a1) \ : /*trash*/ "memory","cc", "fr1","fr2","fr3","fr4", "r31" \ ); \ { Result result; \ result.fres = foo.res; \ result.cr = foo.cr_after; \ result.fpscr = foo.fpscr_after; \ return result; \ } \ } INSN(fabs, "fabs %%f4, %%f1"); INSN(fabs_, "fabs. %%f4, %%f1"); INSN(fnabs, "fnabs %%f4, %%f1"); INSN(fnabs_, "fnabs. %%f4, %%f1"); INSN(fadd, "fadd %%f4, %%f1,%%f2"); INSN(fadd_, "fadd. %%f4, %%f1,%%f2"); INSN(fadds, "fadds %%f4, %%f1,%%f2"); INSN(fadds_, "fadds. %%f4, %%f1,%%f2"); INSN(fcfid, "fcfid %%f4, %%f1"); INSN(fcfid_, "fcfid. %%f4, %%f1"); INSN(fctid, "fctid %%f4, %%f1"); INSN(fctid_, "fctid. %%f4, %%f1"); INSN(fctidz, "fctidz %%f4, %%f1"); INSN(fctidz_, "fctidz. %%f4, %%f1"); INSN(fctiw, "fctiw %%f4, %%f1"); INSN(fctiw_, "fctiw. %%f4, %%f1"); INSN(fctiwz, "fctiwz %%f4, %%f1"); INSN(fctiwz_, "fctiwz. %%f4, %%f1"); INSN(fdiv, "fdiv %%f4, %%f1,%%f2"); INSN(fdiv_, "fdiv. %%f4, %%f1,%%f2"); INSN(fdivs, "fdivs %%f4, %%f1,%%f2"); INSN(fdivs_, "fdivs. %%f4, %%f1,%%f2"); INSN(fmadd, "fmadd %%f4, %%f1,%%f2,%%f3"); INSN(fmadd_, "fmadd. %%f4, %%f1,%%f2,%%f3"); INSN(fmadds, "fmadds %%f4, %%f1,%%f2,%%f3"); INSN(fmadds_, "fmadds. %%f4, %%f1,%%f2,%%f3"); INSN(fmr, "fmr %%f4, %%f1"); INSN(fmr_, "fmr. %%f4, %%f1"); INSN(fmsub, "fmsub %%f4, %%f1,%%f2,%%f3"); INSN(fmsub_, "fmsub. %%f4, %%f1,%%f2,%%f3"); INSN(fmsubs, "fmsubs %%f4, %%f1,%%f2,%%f3"); INSN(fmsubs_, "fmsubs. %%f4, %%f1,%%f2,%%f3"); INSN(fmul, "fmul %%f4, %%f1,%%f2"); INSN(fmul_, "fmul. %%f4, %%f1,%%f2"); INSN(fmuls, "fmuls %%f4, %%f1,%%f2"); INSN(fmuls_, "fmuls. %%f4, %%f1,%%f2"); INSN(fneg, "fneg %%f4, %%f1"); INSN(fneg_, "fneg. %%f4, %%f1"); INSN(fnmadd, "fnmadd %%f4, %%f1,%%f2,%%f3"); INSN(fnmadd_, "fnmadd. %%f4, %%f1,%%f2,%%f3"); INSN(fnmadds, "fnmadds %%f4, %%f1,%%f2,%%f3"); INSN(fnmadds_, "fnmadds. %%f4, %%f1,%%f2,%%f3"); INSN(fnmsub, "fnmsub %%f4, %%f1,%%f2,%%f3"); INSN(fnmsub_, "fnmsub. %%f4, %%f1,%%f2,%%f3"); INSN(fnmsubs, "fnmsubs %%f4, %%f1,%%f2,%%f3"); INSN(fnmsubs_, "fnmsubs. %%f4, %%f1,%%f2,%%f3"); INSN(fre, "fre %%f4, %%f1"); INSN(fre_, "fre. %%f4, %%f1"); INSN(fres, "fres %%f4, %%f1"); INSN(fres_, "fres. %%f4, %%f1"); INSN(frsqrte, "frsqrte %%f4, %%f1"); INSN(frsqrte_, "frsqrte. %%f4, %%f1"); //INSN(frsqrtes, "frsqrtes %%f4, %%f1"); //INSN(frsqrtes_, "frsqrtes. %%f4, %%f1"); INSN(frsp, "frsp %%f4, %%f1"); INSN(frsp_, "frsp. %%f4, %%f1"); INSN(fsel, "fsel %%f4, %%f1,%%f2,%%f3"); INSN(fsel_, "fsel. %%f4, %%f1,%%f2,%%f3"); INSN(fsqrt, "fsqrt %%f4, %%f1"); INSN(fsqrt_, "fsqrt. %%f4, %%f1"); INSN(fsqrts, "fsqrts %%f4, %%f1"); INSN(fsqrts_, "fsqrts. %%f4, %%f1"); INSN(fsub, "fsub %%f4, %%f1,%%f2"); INSN(fsub_, "fsub. %%f4, %%f1,%%f2"); INSN(fsubs, "fsubs %%f4, %%f1,%%f2"); INSN(fsubs_, "fsubs. %%f4, %%f1,%%f2"); void do_1_unary ( char* name, Result(*f)(double,double,double), double a1, ULong hideMask ) { Result r; printf("%8s: %016llx (%e)\n", name, double_as_ULong(a1), a1); set_NEAREST(); r = f(a1, 0.0,0.0); printf(" near "); showResult(r,hideMask); printf("\n"); set_ZERO(); r = f(a1, 0.0,0.0); printf(" zero "); showResult(r,hideMask); printf("\n"); set_PosINF(); r = f(a1, 0.0,0.0); printf(" +inf "); showResult(r,hideMask); printf("\n"); set_NegINF(); r = f(a1, 0.0,0.0); printf(" -inf "); showResult(r,hideMask); printf("\n"); } void do_1_binary ( char* name, Result(*f)(double,double,double), double a1, double a2, ULong hideMask ) { Result r; printf("%8s: %016llx %016llx\n", name, double_as_ULong(a1), double_as_ULong(a2)); set_NEAREST(); r = f(a1,a2, 0.0); printf(" near "); showResult(r,hideMask); printf("\n"); set_ZERO(); r = f(a1,a2, 0.0); printf(" zero "); showResult(r,hideMask); printf("\n"); set_PosINF(); r = f(a1,a2, 0.0); printf(" +inf "); showResult(r,hideMask); printf("\n"); set_NegINF(); r = f(a1,a2, 0.0); printf(" -inf "); showResult(r,hideMask); printf("\n"); } void do_1_ternary ( char* name, Result(*f)(double,double,double), double a1, double a2, double a3, ULong hideMask ) { Result r; printf("%8s: %016llx %016llx %016llx\n", name, double_as_ULong(a1), double_as_ULong(a2), double_as_ULong(a3)); set_NEAREST(); r = f(a1,a2,a3); printf(" near "); showResult(r,hideMask); printf("\n"); set_ZERO(); r = f(a1,a2,a3); printf(" zero "); showResult(r,hideMask); printf("\n"); set_PosINF(); r = f(a1,a2,a3); printf(" +inf "); showResult(r,hideMask); printf("\n"); set_NegINF(); r = f(a1,a2,a3); printf(" -inf "); showResult(r,hideMask); printf("\n"); } void do_N_unary ( char* name, Result(*f)(double,double,double), double* args, int nargs, ULong hideMask ) { int i; for (i = 0; i < nargs; i++) { do_1_unary( name, f, args[i], hideMask ); } } void do_N_binary ( char* name, Result(*f)(double,double,double), double* args, int nargs, ULong hideMask ) { int i, j; for (i = 0; i < nargs; i++) { for (j = 0; j < nargs; j++) { do_1_binary( name, f, args[i], args[j], hideMask ); } } } void do_N_ternary ( char* name, Result(*f)(double,double,double), double* args, int nargs, ULong hideMask ) { int i, j, k; for (i = 0; i < nargs; i++) { for (j = 0; j < nargs; j++) { for (k = 0; k < nargs; k++) { do_1_ternary( name, f, args[i], args[j], args[k], hideMask ); } } } } int main ( void ) { const ULong SHOW_ALL = 0; int nargs = 21; int nMacArgs = 11; double* args = malloc(nargs * sizeof(double)); double* macArgs = malloc(nMacArgs * sizeof(double)); args[0] = 0.0; args[1] = 1.0 / 0.0; // inf args[2] = -args[1]; // -inf args[3] = args[2]/args[2]; // nan args[4] = -args[3]; // -nan args[5] = -5e100; args[6] = -5e20; args[7] = -501.0; args[8] = -6.0; args[9] = -1.0; args[10] = -2e-20; args[11] = -2e-200; args[12] = 2e-200; args[13] = 2e-20; args[14] = 1.0; args[15] = 6.0; args[16] = 501.0; args[17] = 5e20; args[18] = 5e100; args[19] = 1.23e+5; args[20] = 1.23e+14; #if 0 macArgs[0] = 0.0; macArgs[1] = -5e100; macArgs[2] = -5e20; macArgs[3] = -501.0; macArgs[4] = -6.0; macArgs[5] = -1.0; macArgs[6] = -2e-20; macArgs[7] = -2e-200; macArgs[8] = 2e-200; macArgs[9] = 2e-20; macArgs[10] = 1.0; macArgs[11] = 6.0; macArgs[12] = 501.0; macArgs[13] = 5e20; macArgs[14] = 5e100; macArgs[15] = 1.23e+5; macArgs[16] = 1.23e+14; //macArgs[17] = args[3]; // nan //macArgs[18] = -args[3]; // -nan #endif macArgs[0] = 0.0; macArgs[1] = 1.0; macArgs[2] = 1.0 + (1.0/7.0); macArgs[3] = 6.01; macArgs[4] = 501.0; macArgs[5] = 31415927.0; macArgs[6] = - 1.0; macArgs[7] = - (1.0 + (1.0/7.0)); macArgs[8] = - 6.01; macArgs[9] = - 501.0; macArgs[10] = - 31415927.0; do_N_unary("fmr", insn_fmr, args, nargs, SHOW_ALL); do_N_unary("fmr_", insn_fmr_, args, nargs, SHOW_ALL); do_N_unary("fneg", insn_fneg, args, nargs, SHOW_ALL); do_N_unary("fneg_", insn_fneg_, args, nargs, SHOW_ALL); do_N_unary("fabs", insn_fabs, args, nargs, SHOW_ALL); do_N_unary("fabs_", insn_fabs_, args, nargs, SHOW_ALL); do_N_unary("fnabs", insn_fnabs, args, nargs, SHOW_ALL); do_N_unary("fnabs_", insn_fnabs_, args, nargs, SHOW_ALL); do_N_binary("fadd", insn_fadd, args, nargs, SHOW_ALL); do_N_binary("fadd_", insn_fadd_, args, nargs, SHOW_ALL); do_N_binary("fadds", insn_fadds, args, nargs, SHOW_ALL); do_N_binary("fadds_", insn_fadds_, args, nargs, SHOW_ALL); do_N_binary("fdiv", insn_fdiv, args, nargs, SHOW_ALL); do_N_binary("fdiv_", insn_fdiv_, args, nargs, SHOW_ALL); do_N_binary("fdivs", insn_fdivs, args, nargs, SHOW_ALL); do_N_binary("fdivs_", insn_fdivs_, args, nargs, SHOW_ALL); do_N_binary("fmul", insn_fmul, args, nargs, SHOW_ALL); do_N_binary("fmul_", insn_fmul_, args, nargs, SHOW_ALL); do_N_binary("fmuls", insn_fmuls, args, nargs, SHOW_ALL); do_N_binary("fmuls_", insn_fmuls_, args, nargs, SHOW_ALL); do_N_binary("fsub", insn_fsub, args, nargs, SHOW_ALL); do_N_binary("fsub_", insn_fsub_, args, nargs, SHOW_ALL); do_N_binary("fsubs", insn_fsubs, args, nargs, SHOW_ALL); do_N_binary("fsubs_", insn_fsubs_, args, nargs, SHOW_ALL); //do_N_unary(fcfid, SHOW_ALL); //do_N_unary(fcfid_, SHOW_ALL); //do_N_unary(fctid, SHOW_ALL); //do_N_unary(fctid_, SHOW_ALL); //do_N_unary(fctidz, SHOW_ALL); //do_N_unary(fctidz_, SHOW_ALL); do_N_unary("fctiw", insn_fctiw, args, nargs, 0xFFFFFFFF00000000ULL); do_N_unary("fctiw_", insn_fctiw_, args, nargs, 0xFFFFFFFF00000000ULL); do_N_unary("fctiwz", insn_fctiwz, args, nargs, 0xFFFFFFFF00000000ULL); do_N_unary("fctiwz_", insn_fctiwz_, args, nargs, 0xFFFFFFFF00000000ULL); do_N_ternary("fmadd", insn_fmadd, macArgs, nMacArgs, SHOW_ALL); do_N_ternary("fmadd_", insn_fmadd_, macArgs, nMacArgs, SHOW_ALL); do_N_ternary("fmadds", insn_fmadds, macArgs, nMacArgs, SHOW_ALL); do_N_ternary("fmadds_", insn_fmadds_, macArgs, nMacArgs, SHOW_ALL); do_N_ternary("fmsub", insn_fmsub, macArgs, nMacArgs, SHOW_ALL); do_N_ternary("fmsub_", insn_fmsub_, macArgs, nMacArgs, SHOW_ALL); do_N_ternary("fmsubs", insn_fmsubs, macArgs, nMacArgs, SHOW_ALL); do_N_ternary("fmsubs_", insn_fmsubs_, macArgs, nMacArgs, SHOW_ALL); do_N_ternary("fnmadd", insn_fnmadd, macArgs, nMacArgs, SHOW_ALL); do_N_ternary("fnmadd_", insn_fnmadd_, macArgs, nMacArgs, SHOW_ALL); do_N_ternary("fnmadds", insn_fnmadds, macArgs, nMacArgs, SHOW_ALL); do_N_ternary("fnmadds_", insn_fnmadds_, macArgs, nMacArgs, SHOW_ALL); do_N_ternary("fnmsub", insn_fnmsub, macArgs, nMacArgs, SHOW_ALL); do_N_ternary("fnmsub_", insn_fnmsub_, macArgs, nMacArgs, SHOW_ALL); do_N_ternary("fnmsubs", insn_fnmsubs, macArgs, nMacArgs, SHOW_ALL); do_N_ternary("fnmsubs_", insn_fnmsubs_, macArgs, nMacArgs, SHOW_ALL); //do_N_unary(fre, SHOW_ALL); //do_N_unary(fre_, SHOW_ALL); do_N_unary("fres", insn_fres, args, nargs, 0x000001FFFFFFFFFFULL); do_N_unary("fres_", insn_fres_, args, nargs, 0x000001FFFFFFFFFFULL); do_N_unary("frsqrte", insn_frsqrte, args, nargs, SHOW_ALL); do_N_unary("frsqrte_", insn_frsqrte_, args, nargs, SHOW_ALL); // do_N_unary("frsqrtes", insn_frsqrtes, args, nargs, SHOW_ALL); // do_N_unary("frsqrtes_", insn_frsqrtes_, args, nargs, SHOW_ALL); do_N_unary("frsp", insn_frsp, args, nargs, SHOW_ALL); do_N_unary("frsp_", insn_frsp_, args, nargs, SHOW_ALL); do_N_ternary("fsel", insn_fsel, args, nargs, SHOW_ALL); do_N_ternary("fsel_", insn_fsel_, args, nargs, SHOW_ALL); //do_N_unary(fsqrt, SHOW_ALL); //do_N_unary(fsqrt_, SHOW_ALL); //do_N_unary(fsqrts, SHOW_ALL); //do_N_unary(fsqrts_, SHOW_ALL); return 0; }