diff options
Diffstat (limited to 'target/m68k')
| -rw-r--r-- | target/m68k/fpu_helper.c | 96 | ||||
| -rw-r--r-- | target/m68k/helper.h | 18 | ||||
| -rw-r--r-- | target/m68k/softfloat.c | 2656 | ||||
| -rw-r--r-- | target/m68k/softfloat.h | 19 | ||||
| -rw-r--r-- | target/m68k/softfloat_fpsp_tables.h | 641 | ||||
| -rw-r--r-- | target/m68k/translate.c | 59 |
6 files changed, 3489 insertions, 0 deletions
diff --git a/target/m68k/fpu_helper.c b/target/m68k/fpu_helper.c index cdb9b50462..6eeffdf9bb 100644 --- a/target/m68k/fpu_helper.c +++ b/target/m68k/fpu_helper.c @@ -557,3 +557,99 @@ void HELPER(fscale)(CPUM68KState *env, FPReg *res, FPReg *val0, FPReg *val1) { res->d = floatx80_scale(val1->d, val0->d, &env->fp_status); } + +void HELPER(flognp1)(CPUM68KState *env, FPReg *res, FPReg *val) +{ + res->d = floatx80_lognp1(val->d, &env->fp_status); +} + +void HELPER(flogn)(CPUM68KState *env, FPReg *res, FPReg *val) +{ + res->d = floatx80_logn(val->d, &env->fp_status); +} + +void HELPER(flog10)(CPUM68KState *env, FPReg *res, FPReg *val) +{ + res->d = floatx80_log10(val->d, &env->fp_status); +} + +void HELPER(flog2)(CPUM68KState *env, FPReg *res, FPReg *val) +{ + res->d = floatx80_log2(val->d, &env->fp_status); +} + +void HELPER(fetox)(CPUM68KState *env, FPReg *res, FPReg *val) +{ + res->d = floatx80_etox(val->d, &env->fp_status); +} + +void HELPER(ftwotox)(CPUM68KState *env, FPReg *res, FPReg *val) +{ + res->d = floatx80_twotox(val->d, &env->fp_status); +} + +void HELPER(ftentox)(CPUM68KState *env, FPReg *res, FPReg *val) +{ + res->d = floatx80_tentox(val->d, &env->fp_status); +} + +void HELPER(ftan)(CPUM68KState *env, FPReg *res, FPReg *val) +{ + res->d = floatx80_tan(val->d, &env->fp_status); +} + +void HELPER(fsin)(CPUM68KState *env, FPReg *res, FPReg *val) +{ + res->d = floatx80_sin(val->d, &env->fp_status); +} + +void HELPER(fcos)(CPUM68KState *env, FPReg *res, FPReg *val) +{ + res->d = floatx80_cos(val->d, &env->fp_status); +} + +void HELPER(fsincos)(CPUM68KState *env, FPReg *res0, FPReg *res1, FPReg *val) +{ + floatx80 a = val->d; + /* If res0 and res1 specify the same floating-point data register, + * the sine result is stored in the register, and the cosine + * result is discarded. + */ + res1->d = floatx80_cos(a, &env->fp_status); + res0->d = floatx80_sin(a, &env->fp_status); +} + +void HELPER(fatan)(CPUM68KState *env, FPReg *res, FPReg *val) +{ + res->d = floatx80_atan(val->d, &env->fp_status); +} + +void HELPER(fasin)(CPUM68KState *env, FPReg *res, FPReg *val) +{ + res->d = floatx80_asin(val->d, &env->fp_status); +} + +void HELPER(facos)(CPUM68KState *env, FPReg *res, FPReg *val) +{ + res->d = floatx80_acos(val->d, &env->fp_status); +} + +void HELPER(fatanh)(CPUM68KState *env, FPReg *res, FPReg *val) +{ + res->d = floatx80_atanh(val->d, &env->fp_status); +} + +void HELPER(ftanh)(CPUM68KState *env, FPReg *res, FPReg *val) +{ + res->d = floatx80_tanh(val->d, &env->fp_status); +} + +void HELPER(fsinh)(CPUM68KState *env, FPReg *res, FPReg *val) +{ + res->d = floatx80_sinh(val->d, &env->fp_status); +} + +void HELPER(fcosh)(CPUM68KState *env, FPReg *res, FPReg *val) +{ + res->d = floatx80_cosh(val->d, &env->fp_status); +} diff --git a/target/m68k/helper.h b/target/m68k/helper.h index c348dced3a..feee7be626 100644 --- a/target/m68k/helper.h +++ b/target/m68k/helper.h @@ -68,6 +68,24 @@ DEF_HELPER_4(frem, void, env, fp, fp, fp) DEF_HELPER_3(fgetexp, void, env, fp, fp) DEF_HELPER_3(fgetman, void, env, fp, fp) DEF_HELPER_4(fscale, void, env, fp, fp, fp) +DEF_HELPER_3(flognp1, void, env, fp, fp) +DEF_HELPER_3(flogn, void, env, fp, fp) +DEF_HELPER_3(flog10, void, env, fp, fp) +DEF_HELPER_3(flog2, void, env, fp, fp) +DEF_HELPER_3(fetox, void, env, fp, fp) +DEF_HELPER_3(ftwotox, void, env, fp, fp) +DEF_HELPER_3(ftentox, void, env, fp, fp) +DEF_HELPER_3(ftan, void, env, fp, fp) +DEF_HELPER_3(fsin, void, env, fp, fp) +DEF_HELPER_3(fcos, void, env, fp, fp) +DEF_HELPER_4(fsincos, void, env, fp, fp, fp) +DEF_HELPER_3(fatan, void, env, fp, fp) +DEF_HELPER_3(fasin, void, env, fp, fp) +DEF_HELPER_3(facos, void, env, fp, fp) +DEF_HELPER_3(fatanh, void, env, fp, fp) +DEF_HELPER_3(ftanh, void, env, fp, fp) +DEF_HELPER_3(fsinh, void, env, fp, fp) +DEF_HELPER_3(fcosh, void, env, fp, fp) DEF_HELPER_3(mac_move, void, env, i32, i32) DEF_HELPER_3(macmulf, i64, env, i32, i32) diff --git a/target/m68k/softfloat.c b/target/m68k/softfloat.c index 9cb141900c..dffb371c71 100644 --- a/target/m68k/softfloat.c +++ b/target/m68k/softfloat.c @@ -21,6 +21,11 @@ #include "qemu/osdep.h" #include "softfloat.h" #include "fpu/softfloat-macros.h" +#include "softfloat_fpsp_tables.h" + +#define pi_exp 0x4000 +#define piby2_exp 0x3FFF +#define pi_sig LIT64(0xc90fdaa22168c235) static floatx80 propagateFloatx80NaNOneArg(floatx80 a, float_status *status) { @@ -247,3 +252,2654 @@ floatx80 floatx80_scale(floatx80 a, floatx80 b, float_status *status) return roundAndPackFloatx80(status->floatx80_rounding_precision, aSign, aExp, aSig, 0, status); } + +floatx80 floatx80_move(floatx80 a, float_status *status) +{ + flag aSign; + int32_t aExp; + uint64_t aSig; + + aSig = extractFloatx80Frac(a); + aExp = extractFloatx80Exp(a); + aSign = extractFloatx80Sign(a); + + if (aExp == 0x7FFF) { + if ((uint64_t)(aSig << 1)) { + return propagateFloatx80NaNOneArg(a, status); + } + return a; + } + if (aExp == 0) { + if (aSig == 0) { + return a; + } + normalizeRoundAndPackFloatx80(status->floatx80_rounding_precision, + aSign, aExp, aSig, 0, status); + } + return roundAndPackFloatx80(status->floatx80_rounding_precision, aSign, + aExp, aSig, 0, status); +} + +/*---------------------------------------------------------------------------- +| Algorithms for transcendental functions supported by MC68881 and MC68882 +| mathematical coprocessors. The functions are derived from FPSP library. +*----------------------------------------------------------------------------*/ + +#define one_exp 0x3FFF +#define one_sig LIT64(0x8000000000000000) + +/*---------------------------------------------------------------------------- + | Function for compactifying extended double-precision floating point values. + *----------------------------------------------------------------------------*/ + +static int32_t floatx80_make_compact(int32_t aExp, uint64_t aSig) +{ + return (aExp << 16) | (aSig >> 48); +} + +/*---------------------------------------------------------------------------- + | Log base e of x plus 1 + *----------------------------------------------------------------------------*/ + +floatx80 floatx80_lognp1(floatx80 a, float_status *status) +{ + flag aSign; + int32_t aExp; + uint64_t aSig, fSig; + + int8_t user_rnd_mode, user_rnd_prec; + + int32_t compact, j, k; + floatx80 fp0, fp1, fp2, fp3, f, logof2, klog2, saveu; + + aSig = extractFloatx80Frac(a); + aExp = extractFloatx80Exp(a); + aSign = extractFloatx80Sign(a); + + if (aExp == 0x7FFF) { + if ((uint64_t) (aSig << 1)) { + propagateFloatx80NaNOneArg(a, status); + } + if (aSign) { + float_raise(float_flag_invalid, status); + return floatx80_default_nan(status); + } + return packFloatx80(0, floatx80_infinity.high, floatx80_infinity.low); + } + + if (aExp == 0 && aSig == 0) { + return packFloatx80(aSign, 0, 0); + } + + if (aSign && aExp >= one_exp) { + if (aExp == one_exp && aSig == one_sig) { + float_raise(float_flag_divbyzero, status); + packFloatx80(aSign, floatx80_infinity.high, floatx80_infinity.low); + } + float_raise(float_flag_invalid, status); + return floatx80_default_nan(status); + } + + if (aExp < 0x3f99 || (aExp == 0x3f99 && aSig == one_sig)) { + /* <= min threshold */ + float_raise(float_flag_inexact, status); + return floatx80_move(a, status); + } + + user_rnd_mode = status->float_rounding_mode; + user_rnd_prec = status->floatx80_rounding_precision; + status->float_rounding_mode = float_round_nearest_even; + status->floatx80_rounding_precision = 80; + + compact = floatx80_make_compact(aExp, aSig); + + fp0 = a; /* Z */ + fp1 = a; + + fp0 = floatx80_add(fp0, float32_to_floatx80(make_float32(0x3F800000), + status), status); /* X = (1+Z) */ + + aExp = extractFloatx80Exp(fp0); + aSig = extractFloatx80Frac(fp0); + + compact = floatx80_make_compact(aExp, aSig); + + if (compact < 0x3FFE8000 || compact > 0x3FFFC000) { + /* |X| < 1/2 or |X| > 3/2 */ + k = aExp - 0x3FFF; + fp1 = int32_to_floatx80(k, status); + + fSig = (aSig & LIT64(0xFE00000000000000)) | LIT64(0x0100000000000000); + j = (fSig >> 56) & 0x7E; /* DISPLACEMENT FOR 1/F */ + + f = packFloatx80(0, 0x3FFF, fSig); /* F */ + fp0 = packFloatx80(0, 0x3FFF, aSig); /* Y */ + + fp0 = floatx80_sub(fp0, f, status); /* Y-F */ + + lp1cont1: + /* LP1CONT1 */ + fp0 = floatx80_mul(fp0, log_tbl[j], status); /* FP0 IS U = (Y-F)/F */ + logof2 = packFloatx80(0, 0x3FFE, LIT64(0xB17217F7D1CF79AC)); + klog2 = floatx80_mul(fp1, logof2, status); /* FP1 IS K*LOG2 */ + fp2 = floatx80_mul(fp0, fp0, status); /* FP2 IS V=U*U */ + + fp3 = fp2; + fp1 = fp2; + + fp1 = floatx80_mul(fp1, float64_to_floatx80( + make_float64(0x3FC2499AB5E4040B), status), + status); /* V*A6 */ + fp2 = floatx80_mul(fp2, float64_to_floatx80( + make_float64(0xBFC555B5848CB7DB), status), + status); /* V*A5 */ + fp1 = floatx80_add(fp1, float64_to_floatx80( + make_float64(0x3FC99999987D8730), status), + status); /* A4+V*A6 */ + fp2 = floatx80_add(fp2, float64_to_floatx80( + make_float64(0xBFCFFFFFFF6F7E97), status), + status); /* A3+V*A5 */ + fp1 = floatx80_mul(fp1, fp3, status); /* V*(A4+V*A6) */ + fp2 = floatx80_mul(fp2, fp3, status); /* V*(A3+V*A5) */ + fp1 = floatx80_add(fp1, float64_to_floatx80( + make_float64(0x3FD55555555555A4), status), + status); /* A2+V*(A4+V*A6) */ + fp2 = floatx80_add(fp2, float64_to_floatx80( + make_float64(0xBFE0000000000008), status), + status); /* A1+V*(A3+V*A5) */ + fp1 = floatx80_mul(fp1, fp3, status); /* V*(A2+V*(A4+V*A6)) */ + fp2 = floatx80_mul(fp2, fp3, status); /* V*(A1+V*(A3+V*A5)) */ + fp1 = floatx80_mul(fp1, fp0, status); /* U*V*(A2+V*(A4+V*A6)) */ + fp0 = floatx80_add(fp0, fp2, status); /* U+V*(A1+V*(A3+V*A5)) */ + + fp1 = floatx80_add(fp1, log_tbl[j + 1], + status); /* LOG(F)+U*V*(A2+V*(A4+V*A6)) */ + fp0 = floatx80_add(fp0, fp1, status); /* FP0 IS LOG(F) + LOG(1+U) */ + + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + a = floatx80_add(fp0, klog2, status); + + float_raise(float_flag_inexact, status); + + return a; + } else if (compact < 0x3FFEF07D || compact > 0x3FFF8841) { + /* |X| < 1/16 or |X| > -1/16 */ + /* LP1CARE */ + fSig = (aSig & LIT64(0xFE00000000000000)) | LIT64(0x0100000000000000); + f = packFloatx80(0, 0x3FFF, fSig); /* F */ + j = (fSig >> 56) & 0x7E; /* DISPLACEMENT FOR 1/F */ + + if (compact >= 0x3FFF8000) { /* 1+Z >= 1 */ + /* KISZERO */ + fp0 = floatx80_sub(float32_to_floatx80(make_float32(0x3F800000), + status), f, status); /* 1-F */ + fp0 = floatx80_add(fp0, fp1, status); /* FP0 IS Y-F = (1-F)+Z */ + fp1 = packFloatx80(0, 0, 0); /* K = 0 */ + } else { + /* KISNEG */ + fp0 = floatx80_sub(float32_to_floatx80(make_float32(0x40000000), + status), f, status); /* 2-F */ + fp1 = floatx80_add(fp1, fp1, status); /* 2Z */ + fp0 = floatx80_add(fp0, fp1, status); /* FP0 IS Y-F = (2-F)+2Z */ + fp1 = packFloatx80(1, one_exp, one_sig); /* K = -1 */ + } + goto lp1cont1; + } else { + /* LP1ONE16 */ + fp1 = floatx80_add(fp1, fp1, status); /* FP1 IS 2Z */ + fp0 = floatx80_add(fp0, float32_to_floatx80(make_float32(0x3F800000), + status), status); /* FP0 IS 1+X */ + + /* LP1CONT2 */ + fp1 = floatx80_div(fp1, fp0, status); /* U */ + saveu = fp1; + fp0 = floatx80_mul(fp1, fp1, status); /* FP0 IS V = U*U */ + fp1 = floatx80_mul(fp0, fp0, status); /* FP1 IS W = V*V */ + + fp3 = float64_to_floatx80(make_float64(0x3F175496ADD7DAD6), + status); /* B5 */ + fp2 = float64_to_floatx80(make_float64(0x3F3C71C2FE80C7E0), + status); /* B4 */ + fp3 = floatx80_mul(fp3, fp1, status); /* W*B5 */ + fp2 = floatx80_mul(fp2, fp1, status); /* W*B4 */ + fp3 = floatx80_add(fp3, float64_to_floatx80( + make_float64(0x3F624924928BCCFF), status), + status); /* B3+W*B5 */ + fp2 = floatx80_add(fp2, float64_to_floatx80( + make_float64(0x3F899999999995EC), status), + status); /* B2+W*B4 */ + fp1 = floatx80_mul(fp1, fp3, status); /* W*(B3+W*B5) */ + fp2 = floatx80_mul(fp2, fp0, status); /* V*(B2+W*B4) */ + fp1 = floatx80_add(fp1, float64_to_floatx80( + make_float64(0x3FB5555555555555), status), + status); /* B1+W*(B3+W*B5) */ + + fp0 = floatx80_mul(fp0, saveu, status); /* FP0 IS U*V */ + fp1 = floatx80_add(fp1, fp2, + status); /* B1+W*(B3+W*B5) + V*(B2+W*B4) */ + fp0 = floatx80_mul(fp0, fp1, + status); /* U*V*([B1+W*(B3+W*B5)] + [V*(B2+W*B4)]) */ + + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + a = floatx80_add(fp0, saveu, status); + + /*if (!floatx80_is_zero(a)) { */ + float_raise(float_flag_inexact, status); + /*} */ + + return a; + } +} + +/*---------------------------------------------------------------------------- + | Log base e + *----------------------------------------------------------------------------*/ + +floatx80 floatx80_logn(floatx80 a, float_status *status) +{ + flag aSign; + int32_t aExp; + uint64_t aSig, fSig; + + int8_t user_rnd_mode, user_rnd_prec; + + int32_t compact, j, k, adjk; + floatx80 fp0, fp1, fp2, fp3, f, logof2, klog2, saveu; + + aSig = extractFloatx80Frac(a); + aExp = extractFloatx80Exp(a); + aSign = extractFloatx80Sign(a); + + if (aExp == 0x7FFF) { + if ((uint64_t) (aSig << 1)) { + propagateFloatx80NaNOneArg(a, status); + } + if (aSign == 0) { + return packFloatx80(0, floatx80_infinity.high, + floatx80_infinity.low); + } + } + + adjk = 0; + + if (aExp == 0) { + if (aSig == 0) { /* zero */ + float_raise(float_flag_divbyzero, status); + return packFloatx80(1, floatx80_infinity.high, + floatx80_infinity.low); + } + if ((aSig & one_sig) == 0) { /* denormal */ + normalizeFloatx80Subnormal(aSig, &aExp, &aSig); + adjk = -100; + aExp += 100; + a = packFloatx80(aSign, aExp, aSig); + } + } + + if (aSign) { + float_raise(float_flag_invalid, status); + return floatx80_default_nan(status); + } + + user_rnd_mode = status->float_rounding_mode; + user_rnd_prec = status->floatx80_rounding_precision; + status->float_rounding_mode = float_round_nearest_even; + status->floatx80_rounding_precision = 80; + + compact = floatx80_make_compact(aExp, aSig); + + if (compact < 0x3FFEF07D || compact > 0x3FFF8841) { + /* |X| < 15/16 or |X| > 17/16 */ + k = aExp - 0x3FFF; + k += adjk; + fp1 = int32_to_floatx80(k, status); + + fSig = (aSig & LIT64(0xFE00000000000000)) | LIT64(0x0100000000000000); + j = (fSig >> 56) & 0x7E; /* DISPLACEMENT FOR 1/F */ + + f = packFloatx80(0, 0x3FFF, fSig); /* F */ + fp0 = packFloatx80(0, 0x3FFF, aSig); /* Y */ + + fp0 = floatx80_sub(fp0, f, status); /* Y-F */ + + /* LP1CONT1 */ + fp0 = floatx80_mul(fp0, log_tbl[j], status); /* FP0 IS U = (Y-F)/F */ + logof2 = packFloatx80(0, 0x3FFE, LIT64(0xB17217F7D1CF79AC)); + klog2 = floatx80_mul(fp1, logof2, status); /* FP1 IS K*LOG2 */ + fp2 = floatx80_mul(fp0, fp0, status); /* FP2 IS V=U*U */ + + fp3 = fp2; + fp1 = fp2; + + fp1 = floatx80_mul(fp1, float64_to_floatx80( + make_float64(0x3FC2499AB5E4040B), status), + status); /* V*A6 */ + fp2 = floatx80_mul(fp2, float64_to_floatx80( + make_float64(0xBFC555B5848CB7DB), status), + status); /* V*A5 */ + fp1 = floatx80_add(fp1, float64_to_floatx80( + make_float64(0x3FC99999987D8730), status), + status); /* A4+V*A6 */ + fp2 = floatx80_add(fp2, float64_to_floatx80( + make_float64(0xBFCFFFFFFF6F7E97), status), + status); /* A3+V*A5 */ + fp1 = floatx80_mul(fp1, fp3, status); /* V*(A4+V*A6) */ + fp2 = floatx80_mul(fp2, fp3, status); /* V*(A3+V*A5) */ + fp1 = floatx80_add(fp1, float64_to_floatx80( + make_float64(0x3FD55555555555A4), status), + status); /* A2+V*(A4+V*A6) */ + fp2 = floatx80_add(fp2, float64_to_floatx80( + make_float64(0xBFE0000000000008), status), + status); /* A1+V*(A3+V*A5) */ + fp1 = floatx80_mul(fp1, fp3, status); /* V*(A2+V*(A4+V*A6)) */ + fp2 = floatx80_mul(fp2, fp3, status); /* V*(A1+V*(A3+V*A5)) */ + fp1 = floatx80_mul(fp1, fp0, status); /* U*V*(A2+V*(A4+V*A6)) */ + fp0 = floatx80_add(fp0, fp2, status); /* U+V*(A1+V*(A3+V*A5)) */ + + fp1 = floatx80_add(fp1, log_tbl[j + 1], + status); /* LOG(F)+U*V*(A2+V*(A4+V*A6)) */ + fp0 = floatx80_add(fp0, fp1, status); /* FP0 IS LOG(F) + LOG(1+U) */ + + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + a = floatx80_add(fp0, klog2, status); + + float_raise(float_flag_inexact, status); + + return a; + } else { /* |X-1| >= 1/16 */ + fp0 = a; + fp1 = a; + fp1 = floatx80_sub(fp1, float32_to_floatx80(make_float32(0x3F800000), + status), status); /* FP1 IS X-1 */ + fp0 = floatx80_add(fp0, float32_to_floatx80(make_float32(0x3F800000), + status), status); /* FP0 IS X+1 */ + fp1 = floatx80_add(fp1, fp1, status); /* FP1 IS 2(X-1) */ + + /* LP1CONT2 */ + fp1 = floatx80_div(fp1, fp0, status); /* U */ + saveu = fp1; + fp0 = floatx80_mul(fp1, fp1, status); /* FP0 IS V = U*U */ + fp1 = floatx80_mul(fp0, fp0, status); /* FP1 IS W = V*V */ + + fp3 = float64_to_floatx80(make_float64(0x3F175496ADD7DAD6), + status); /* B5 */ + fp2 = float64_to_floatx80(make_float64(0x3F3C71C2FE80C7E0), + status); /* B4 */ + fp3 = floatx80_mul(fp3, fp1, status); /* W*B5 */ + fp2 = floatx80_mul(fp2, fp1, status); /* W*B4 */ + fp3 = floatx80_add(fp3, float64_to_floatx80( + make_float64(0x3F624924928BCCFF), status), + status); /* B3+W*B5 */ + fp2 = floatx80_add(fp2, float64_to_floatx80( + make_float64(0x3F899999999995EC), status), + status); /* B2+W*B4 */ + fp1 = floatx80_mul(fp1, fp3, status); /* W*(B3+W*B5) */ + fp2 = floatx80_mul(fp2, fp0, status); /* V*(B2+W*B4) */ + fp1 = floatx80_add(fp1, float64_to_floatx80( + make_float64(0x3FB5555555555555), status), + status); /* B1+W*(B3+W*B5) */ + + fp0 = floatx80_mul(fp0, saveu, status); /* FP0 IS U*V */ + fp1 = floatx80_add(fp1, fp2, status); /* B1+W*(B3+W*B5) + V*(B2+W*B4) */ + fp0 = floatx80_mul(fp0, fp1, + status); /* U*V*([B1+W*(B3+W*B5)] + [V*(B2+W*B4)]) */ + + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + a = floatx80_add(fp0, saveu, status); + + /*if (!floatx80_is_zero(a)) { */ + float_raise(float_flag_inexact, status); + /*} */ + + return a; + } +} + +/*---------------------------------------------------------------------------- + | Log base 10 + *----------------------------------------------------------------------------*/ + +floatx80 floatx80_log10(floatx80 a, float_status *status) +{ + flag aSign; + int32_t aExp; + uint64_t aSig; + + int8_t user_rnd_mode, user_rnd_prec; + + floatx80 fp0, fp1; + + aSig = extractFloatx80Frac(a); + aExp = extractFloatx80Exp(a); + aSign = extractFloatx80Sign(a); + + if (aExp == 0x7FFF) { + if ((uint64_t) (aSig << 1)) { + propagateFloatx80NaNOneArg(a, status); + } + if (aSign == 0) { + return packFloatx80(0, floatx80_infinity.high, + floatx80_infinity.low); + } + } + + if (aExp == 0 && aSig == 0) { + float_raise(float_flag_divbyzero, status); + return packFloatx80(1, floatx80_infinity.high, + floatx80_infinity.low); + } + + if (aSign) { + float_raise(float_flag_invalid, status); + return floatx80_default_nan(status); + } + + user_rnd_mode = status->float_rounding_mode; + user_rnd_prec = status->floatx80_rounding_precision; + status->float_rounding_mode = float_round_nearest_even; + status->floatx80_rounding_precision = 80; + + fp0 = floatx80_logn(a, status); + fp1 = packFloatx80(0, 0x3FFD, LIT64(0xDE5BD8A937287195)); /* INV_L10 */ + + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + a = floatx80_mul(fp0, fp1, status); /* LOGN(X)*INV_L10 */ + + float_raise(float_flag_inexact, status); + + return a; +} + +/*---------------------------------------------------------------------------- + | Log base 2 + *----------------------------------------------------------------------------*/ + +floatx80 floatx80_log2(floatx80 a, float_status *status) +{ + flag aSign; + int32_t aExp; + uint64_t aSig; + + int8_t user_rnd_mode, user_rnd_prec; + + floatx80 fp0, fp1; + + aSig = extractFloatx80Frac(a); + aExp = extractFloatx80Exp(a); + aSign = extractFloatx80Sign(a); + + if (aExp == 0x7FFF) { + if ((uint64_t) (aSig << 1)) { + propagateFloatx80NaNOneArg(a, status); + } + if (aSign == 0) { + return packFloatx80(0, floatx80_infinity.high, + floatx80_infinity.low); + } + } + + if (aExp == 0) { + if (aSig == 0) { + float_raise(float_flag_divbyzero, status); + return packFloatx80(1, floatx80_infinity.high, + floatx80_infinity.low); + } + normalizeFloatx80Subnormal(aSig, &aExp, &aSig); + } + + if (aSign) { + float_raise(float_flag_invalid, status); + return floatx80_default_nan(status); + } + + user_rnd_mode = status->float_rounding_mode; + user_rnd_prec = status->floatx80_rounding_precision; + status->float_rounding_mode = float_round_nearest_even; + status->floatx80_rounding_precision = 80; + + if (aSig == one_sig) { /* X is 2^k */ + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + a = int32_to_floatx80(aExp - 0x3FFF, status); + } else { + fp0 = floatx80_logn(a, status); + fp1 = packFloatx80(0, 0x3FFF, LIT64(0xB8AA3B295C17F0BC)); /* INV_L2 */ + + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + a = floatx80_mul(fp0, fp1, status); /* LOGN(X)*INV_L2 */ + } + + float_raise(float_flag_inexact, status); + + return a; +} + +/*---------------------------------------------------------------------------- + | e to x + *----------------------------------------------------------------------------*/ + +floatx80 floatx80_etox(floatx80 a, float_status *status) +{ + flag aSign; + int32_t aExp; + uint64_t aSig; + + int8_t user_rnd_mode, user_rnd_prec; + + int32_t compact, n, j, k, m, m1; + floatx80 fp0, fp1, fp2, fp3, l2, scale, adjscale; + flag adjflag; + + aSig = extractFloatx80Frac(a); + aExp = extractFloatx80Exp(a); + aSign = extractFloatx80Sign(a); + + if (aExp == 0x7FFF) { + if ((uint64_t) (aSig << 1)) { + return propagateFloatx80NaNOneArg(a, status); + } + if (aSign) { + return packFloatx80(0, 0, 0); + } + return packFloatx80(0, floatx80_infinity.high, + floatx80_infinity.low); + } + + if (aExp == 0 && aSig == 0) { + return packFloatx80(0, one_exp, one_sig); + } + + user_rnd_mode = status->float_rounding_mode; + user_rnd_prec = status->floatx80_rounding_precision; + status->float_rounding_mode = float_round_nearest_even; + status->floatx80_rounding_precision = 80; + + adjflag = 0; + + if (aExp >= 0x3FBE) { /* |X| >= 2^(-65) */ + compact = floatx80_make_compact(aExp, aSig); + + if (compact < 0x400CB167) { /* |X| < 16380 log2 */ + fp0 = a; + fp1 = a; + fp0 = floatx80_mul(fp0, float32_to_floatx80( + make_float32(0x42B8AA3B), status), + status); /* 64/log2 * X */ + adjflag = 0; + n = floatx80_to_int32(fp0, status); /* int(64/log2*X) */ + fp0 = int32_to_floatx80(n, status); + + j = n & 0x3F; /* J = N mod 64 */ + m = n / 64; /* NOTE: this is really arithmetic right shift by 6 */ + if (n < 0 && j) { + /* arithmetic right shift is division and + * round towards minus infinity + */ + m--; + } + m += 0x3FFF; /* biased exponent of 2^(M) */ + + expcont1: + fp2 = fp0; /* N */ + fp0 = floatx80_mul(fp0, float32_to_floatx80( + make_float32(0xBC317218), status), + status); /* N * L1, L1 = lead(-log2/64) */ + l2 = packFloatx80(0, 0x3FDC, LIT64(0x82E308654361C4C6)); + fp2 = floatx80_mul(fp2, l2, status); /* N * L2, L1+L2 = -log2/64 */ + fp0 = floatx80_add(fp0, fp1, status); /* X + N*L1 */ + fp0 = floatx80_add(fp0, fp2, status); /* R */ + + fp1 = floatx80_mul(fp0, fp0, status); /* S = R*R */ + fp2 = float32_to_floatx80(make_float32(0x3AB60B70), + status); /* A5 */ + fp2 = floatx80_mul(fp2, fp1, status); /* fp2 is S*A5 */ + fp3 = floatx80_mul(float32_to_floatx80(make_float32(0x3C088895), + status), fp1, + status); /* fp3 is S*A4 */ + fp2 = floatx80_add(fp2, float64_to_floatx80(make_float64( + 0x3FA5555555554431), status), + status); /* fp2 is A3+S*A5 */ + fp3 = floatx80_add(fp3, float64_to_floatx80(make_float64( + 0x3FC5555555554018), status), + status); /* fp3 is A2+S*A4 */ + fp2 = floatx80_mul(fp2, fp1, status); /* fp2 is S*(A3+S*A5) */ + fp3 = floatx80_mul(fp3, fp1, status); /* fp3 is S*(A2+S*A4) */ + fp2 = floatx80_add(fp2, float32_to_floatx80( + make_float32(0x3F000000), status), + status); /* fp2 is A1+S*(A3+S*A5) */ + fp3 = floatx80_mul(fp3, fp0, status); /* fp3 IS R*S*(A2+S*A4) */ + fp2 = floatx80_mul(fp2, fp1, + status); /* fp2 IS S*(A1+S*(A3+S*A5)) */ + fp0 = floatx80_add(fp0, fp3, status); /* fp0 IS R+R*S*(A2+S*A4) */ + fp0 = floatx80_add(fp0, fp2, status); /* fp0 IS EXP(R) - 1 */ + + fp1 = exp_tbl[j]; + fp0 = floatx80_mul(fp0, fp1, status); /* 2^(J/64)*(Exp(R)-1) */ + fp0 = floatx80_add(fp0, float32_to_floatx80(exp_tbl2[j], status), + status); /* accurate 2^(J/64) */ + fp0 = floatx80_add(fp0, fp1, + status); /* 2^(J/64) + 2^(J/64)*(Exp(R)-1) */ + + scale = packFloatx80(0, m, one_sig); + if (adjflag) { + adjscale = packFloatx80(0, m1, one_sig); + fp0 = floatx80_mul(fp0, adjscale, status); + } + + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + a = floatx80_mul(fp0, scale, status); + + float_raise(float_flag_inexact, status); + + return a; + } else { /* |X| >= 16380 log2 */ + if (compact > 0x400CB27C) { /* |X| >= 16480 log2 */ + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + if (aSign) { + a = roundAndPackFloatx80( + status->floatx80_rounding_precision, + 0, -0x1000, aSig, 0, status); + } else { + a = roundAndPackFloatx80( + status->floatx80_rounding_precision, + 0, 0x8000, aSig, 0, status); + } + float_raise(float_flag_inexact, status); + + return a; + } else { + fp0 = a; + fp1 = a; + fp0 = floatx80_mul(fp0, float32_to_floatx80( + make_float32(0x42B8AA3B), status), + status); /* 64/log2 * X */ + adjflag = 1; + n = floatx80_to_int32(fp0, status); /* int(64/log2*X) */ + fp0 = int32_to_floatx80(n, status); + + j = n & 0x3F; /* J = N mod 64 */ + /* NOTE: this is really arithmetic right shift by 6 */ + k = n / 64; + if (n < 0 && j) { + /* arithmetic right shift is division and + * round towards minus infinity + */ + k--; + } + /* NOTE: this is really arithmetic right shift by 1 */ + m1 = k / 2; + if (k < 0 && (k & 1)) { + /* arithmetic right shift is division and + * round towards minus infinity + */ + m1--; + } + m = k - m1; + m1 += 0x3FFF; /* biased exponent of 2^(M1) */ + m += 0x3FFF; /* biased exponent of 2^(M) */ + + goto expcont1; + } + } + } else { /* |X| < 2^(-65) */ + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + a = floatx80_add(a, float32_to_floatx80(make_float32(0x3F800000), + status), status); /* 1 + X */ + + float_raise(float_flag_inexact, status); + + return a; + } +} + +/*---------------------------------------------------------------------------- + | 2 to x + *----------------------------------------------------------------------------*/ + +floatx80 floatx80_twotox(floatx80 a, float_status *status) +{ + flag aSign; + int32_t aExp; + uint64_t aSig; + + int8_t user_rnd_mode, user_rnd_prec; + + int32_t compact, n, j, l, m, m1; + floatx80 fp0, fp1, fp2, fp3, adjfact, fact1, fact2; + + aSig = extractFloatx80Frac(a); + aExp = extractFloatx80Exp(a); + aSign = extractFloatx80Sign(a); + + if (aExp == 0x7FFF) { + if ((uint64_t) (aSig << 1)) { + return propagateFloatx80NaNOneArg(a, status); + } + if (aSign) { + return packFloatx80(0, 0, 0); + } + return packFloatx80(0, floatx80_infinity.high, + floatx80_infinity.low); + } + + if (aExp == 0 && aSig == 0) { + return packFloatx80(0, one_exp, one_sig); + } + + user_rnd_mode = status->float_rounding_mode; + user_rnd_prec = status->floatx80_rounding_precision; + status->float_rounding_mode = float_round_nearest_even; + status->floatx80_rounding_precision = 80; + + fp0 = a; + + compact = floatx80_make_compact(aExp, aSig); + + if (compact < 0x3FB98000 || compact > 0x400D80C0) { + /* |X| > 16480 or |X| < 2^(-70) */ + if (compact > 0x3FFF8000) { /* |X| > 16480 */ + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + if (aSign) { + return roundAndPackFloatx80(status->floatx80_rounding_precision, + 0, -0x1000, aSig, 0, status); + } else { + return roundAndPackFloatx80(status->floatx80_rounding_precision, + 0, 0x8000, aSig, 0, status); + } + } else { /* |X| < 2^(-70) */ + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + a = floatx80_add(fp0, float32_to_floatx80( + make_float32(0x3F800000), status), + status); /* 1 + X */ + + float_raise(float_flag_inexact, status); + + return a; + } + } else { /* 2^(-70) <= |X| <= 16480 */ + fp1 = fp0; /* X */ + fp1 = floatx80_mul(fp1, float32_to_floatx80( + make_float32(0x42800000), status), + status); /* X * 64 */ + n = floatx80_to_int32(fp1, status); + fp1 = int32_to_floatx80(n, status); + j = n & 0x3F; + l = n / 64; /* NOTE: this is really arithmetic right shift by 6 */ + if (n < 0 && j) { + /* arithmetic right shift is division and + * round towards minus infinity + */ + l--; + } + m = l / 2; /* NOTE: this is really arithmetic right shift by 1 */ + if (l < 0 && (l & 1)) { + /* arithmetic right shift is division and + * round towards minus infinity + */ + m--; + } + m1 = l - m; + m1 += 0x3FFF; /* ADJFACT IS 2^(M') */ + + adjfact = packFloatx80(0, m1, one_sig); + fact1 = exp2_tbl[j]; + fact1.high += m; + fact2.high = exp2_tbl2[j] >> 16; + fact2.high += m; + fact2.low = (uint64_t)(exp2_tbl2[j] & 0xFFFF); + fact2.low <<= 48; + + fp1 = floatx80_mul(fp1, float32_to_floatx80( + make_float32(0x3C800000), status), + status); /* (1/64)*N */ + fp0 = floatx80_sub(fp0, fp1, status); /* X - (1/64)*INT(64 X) */ + fp2 = packFloatx80(0, 0x3FFE, LIT64(0xB17217F7D1CF79AC)); /* LOG2 */ + fp0 = floatx80_mul(fp0, fp2, status); /* R */ + + /* EXPR */ + fp1 = floatx80_mul(fp0, fp0, status); /* S = R*R */ + fp2 = float64_to_floatx80(make_float64(0x3F56C16D6F7BD0B2), + status); /* A5 */ + fp3 = float64_to_floatx80(make_float64(0x3F811112302C712C), + status); /* A4 */ + fp2 = floatx80_mul(fp2, fp1, status); /* S*A5 */ + fp3 = floatx80_mul(fp3, fp1, status); /* S*A4 */ + fp2 = floatx80_add(fp2, float64_to_floatx80( + make_float64(0x3FA5555555554CC1), status), + status); /* A3+S*A5 */ + fp3 = floatx80_add(fp3, float64_to_floatx80( + make_float64(0x3FC5555555554A54), status), + status); /* A2+S*A4 */ + fp2 = floatx80_mul(fp2, fp1, status); /* S*(A3+S*A5) */ + fp3 = floatx80_mul(fp3, fp1, status); /* S*(A2+S*A4) */ + fp2 = floatx80_add(fp2, float64_to_floatx80( + make_float64(0x3FE0000000000000), status), + status); /* A1+S*(A3+S*A5) */ + fp3 = floatx80_mul(fp3, fp0, status); /* R*S*(A2+S*A4) */ + + fp2 = floatx80_mul(fp2, fp1, status); /* S*(A1+S*(A3+S*A5)) */ + fp0 = floatx80_add(fp0, fp3, status); /* R+R*S*(A2+S*A4) */ + fp0 = floatx80_add(fp0, fp2, status); /* EXP(R) - 1 */ + + fp0 = floatx80_mul(fp0, fact1, status); + fp0 = floatx80_add(fp0, fact2, status); + fp0 = floatx80_add(fp0, fact1, status); + + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + a = floatx80_mul(fp0, adjfact, status); + + float_raise(float_flag_inexact, status); + + return a; + } +} + +/*---------------------------------------------------------------------------- + | 10 to x + *----------------------------------------------------------------------------*/ + +floatx80 floatx80_tentox(floatx80 a, float_status *status) +{ + flag aSign; + int32_t aExp; + uint64_t aSig; + + int8_t user_rnd_mode, user_rnd_prec; + + int32_t compact, n, j, l, m, m1; + floatx80 fp0, fp1, fp2, fp3, adjfact, fact1, fact2; + + aSig = extractFloatx80Frac(a); + aExp = extractFloatx80Exp(a); + aSign = extractFloatx80Sign(a); + + if (aExp == 0x7FFF) { + if ((uint64_t) (aSig << 1)) { + return propagateFloatx80NaNOneArg(a, status); + } + if (aSign) { + return packFloatx80(0, 0, 0); + } + return packFloatx80(0, floatx80_infinity.high, + floatx80_infinity.low); + } + + if (aExp == 0 && aSig == 0) { + return packFloatx80(0, one_exp, one_sig); + } + + user_rnd_mode = status->float_rounding_mode; + user_rnd_prec = status->floatx80_rounding_precision; + status->float_rounding_mode = float_round_nearest_even; + status->floatx80_rounding_precision = 80; + + fp0 = a; + + compact = floatx80_make_compact(aExp, aSig); + + if (compact < 0x3FB98000 || compact > 0x400B9B07) { + /* |X| > 16480 LOG2/LOG10 or |X| < 2^(-70) */ + if (compact > 0x3FFF8000) { /* |X| > 16480 */ + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + if (aSign) { + return roundAndPackFloatx80(status->floatx80_rounding_precision, + 0, -0x1000, aSig, 0, status); + } else { + return roundAndPackFloatx80(status->floatx80_rounding_precision, + 0, 0x8000, aSig, 0, status); + } + } else { /* |X| < 2^(-70) */ + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + a = floatx80_add(fp0, float32_to_floatx80( + make_float32(0x3F800000), status), + status); /* 1 + X */ + + float_raise(float_flag_inexact, status); + + return a; + } + } else { /* 2^(-70) <= |X| <= 16480 LOG 2 / LOG 10 */ + fp1 = fp0; /* X */ + fp1 = floatx80_mul(fp1, float64_to_floatx80( + make_float64(0x406A934F0979A371), + status), status); /* X*64*LOG10/LOG2 */ + n = floatx80_to_int32(fp1, status); /* N=INT(X*64*LOG10/LOG2) */ + fp1 = int32_to_floatx80(n, status); + + j = n & 0x3F; + l = n / 64; /* NOTE: this is really arithmetic right shift by 6 */ + if (n < 0 && j) { + /* arithmetic right shift is division and + * round towards minus infinity + */ + l--; + } + m = l / 2; /* NOTE: this is really arithmetic right shift by 1 */ + if (l < 0 && (l & 1)) { + /* arithmetic right shift is division and + * round towards minus infinity + */ + m--; + } + m1 = l - m; + m1 += 0x3FFF; /* ADJFACT IS 2^(M') */ + + adjfact = packFloatx80(0, m1, one_sig); + fact1 = exp2_tbl[j]; + fact1.high += m; + fact2.high = exp2_tbl2[j] >> 16; + fact2.high += m; + fact2.low = (uint64_t)(exp2_tbl2[j] & 0xFFFF); + fact2.low <<= 48; + + fp2 = fp1; /* N */ + fp1 = floatx80_mul(fp1, float64_to_floatx80( + make_float64(0x3F734413509F8000), status), + status); /* N*(LOG2/64LOG10)_LEAD */ + fp3 = packFloatx80(1, 0x3FCD, LIT64(0xC0219DC1DA994FD2)); + fp2 = floatx80_mul(fp2, fp3, status); /* N*(LOG2/64LOG10)_TRAIL */ + fp0 = floatx80_sub(fp0, fp1, status); /* X - N L_LEAD */ + fp0 = floatx80_sub(fp0, fp2, status); /* X - N L_TRAIL */ + fp2 = packFloatx80(0, 0x4000, LIT64(0x935D8DDDAAA8AC17)); /* LOG10 */ + fp0 = floatx80_mul(fp0, fp2, status); /* R */ + + /* EXPR */ + fp1 = floatx80_mul(fp0, fp0, status); /* S = R*R */ + fp2 = float64_to_floatx80(make_float64(0x3F56C16D6F7BD0B2), + status); /* A5 */ + fp3 = float64_to_floatx80(make_float64(0x3F811112302C712C), + status); /* A4 */ + fp2 = floatx80_mul(fp2, fp1, status); /* S*A5 */ + fp3 = floatx80_mul(fp3, fp1, status); /* S*A4 */ + fp2 = floatx80_add(fp2, float64_to_floatx80( + make_float64(0x3FA5555555554CC1), status), + status); /* A3+S*A5 */ + fp3 = floatx80_add(fp3, float64_to_floatx80( + make_float64(0x3FC5555555554A54), status), + status); /* A2+S*A4 */ + fp2 = floatx80_mul(fp2, fp1, status); /* S*(A3+S*A5) */ + fp3 = floatx80_mul(fp3, fp1, status); /* S*(A2+S*A4) */ + fp2 = floatx80_add(fp2, float64_to_floatx80( + make_float64(0x3FE0000000000000), status), + status); /* A1+S*(A3+S*A5) */ + fp3 = floatx80_mul(fp3, fp0, status); /* R*S*(A2+S*A4) */ + + fp2 = floatx80_mul(fp2, fp1, status); /* S*(A1+S*(A3+S*A5)) */ + fp0 = floatx80_add(fp0, fp3, status); /* R+R*S*(A2+S*A4) */ + fp0 = floatx80_add(fp0, fp2, status); /* EXP(R) - 1 */ + + fp0 = floatx80_mul(fp0, fact1, status); + fp0 = floatx80_add(fp0, fact2, status); + fp0 = floatx80_add(fp0, fact1, status); + + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + a = floatx80_mul(fp0, adjfact, status); + + float_raise(float_flag_inexact, status); + + return a; + } +} + +/*---------------------------------------------------------------------------- + | Tangent + *----------------------------------------------------------------------------*/ + +floatx80 floatx80_tan(floatx80 a, float_status *status) +{ + flag aSign, xSign; + int32_t aExp, xExp; + uint64_t aSig, xSig; + + int8_t user_rnd_mode, user_rnd_prec; + + int32_t compact, l, n, j; + floatx80 fp0, fp1, fp2, fp3, fp4, fp5, invtwopi, twopi1, twopi2; + float32 twoto63; + flag endflag; + + aSig = extractFloatx80Frac(a); + aExp = extractFloatx80Exp(a); + aSign = extractFloatx80Sign(a); + + if (aExp == 0x7FFF) { + if ((uint64_t) (aSig << 1)) { + return propagateFloatx80NaNOneArg(a, status); + } + float_raise(float_flag_invalid, status); + return floatx80_default_nan(status); + } + + if (aExp == 0 && aSig == 0) { + return packFloatx80(aSign, 0, 0); + } + + user_rnd_mode = status->float_rounding_mode; + user_rnd_prec = status->floatx80_rounding_precision; + status->float_rounding_mode = float_round_nearest_even; + status->floatx80_rounding_precision = 80; + + compact = floatx80_make_compact(aExp, aSig); + + fp0 = a; + + if (compact < 0x3FD78000 || compact > 0x4004BC7E) { + /* 2^(-40) > |X| > 15 PI */ + if (compact > 0x3FFF8000) { /* |X| >= 15 PI */ + /* REDUCEX */ + fp1 = packFloatx80(0, 0, 0); + if (compact == 0x7FFEFFFF) { + twopi1 = packFloatx80(aSign ^ 1, 0x7FFE, + LIT64(0xC90FDAA200000000)); + twopi2 = packFloatx80(aSign ^ 1, 0x7FDC, + LIT64(0x85A308D300000000)); + fp0 = floatx80_add(fp0, twopi1, status); + fp1 = fp0; + fp0 = floatx80_add(fp0, twopi2, status); + fp1 = floatx80_sub(fp1, fp0, status); + fp1 = floatx80_add(fp1, twopi2, status); + } + loop: + xSign = extractFloatx80Sign(fp0); + xExp = extractFloatx80Exp(fp0); + xExp -= 0x3FFF; + if (xExp <= 28) { + l = 0; + endflag = 1; + } else { + l = xExp - 27; + endflag = 0; + } + invtwopi = packFloatx80(0, 0x3FFE - l, + LIT64(0xA2F9836E4E44152A)); /* INVTWOPI */ + twopi1 = packFloatx80(0, 0x3FFF + l, LIT64(0xC90FDAA200000000)); + twopi2 = packFloatx80(0, 0x3FDD + l, LIT64(0x85A308D300000000)); + + /* SIGN(INARG)*2^63 IN SGL */ + twoto63 = packFloat32(xSign, 0xBE, 0); + + fp2 = floatx80_mul(fp0, invtwopi, status); + fp2 = floatx80_add(fp2, float32_to_floatx80(twoto63, status), + status); /* THE FRACT PART OF FP2 IS ROUNDED */ + fp2 = floatx80_sub(fp2, float32_to_floatx80(twoto63, status), + status); /* FP2 is N */ + fp4 = floatx80_mul(twopi1, fp2, status); /* W = N*P1 */ + fp5 = floatx80_mul(twopi2, fp2, status); /* w = N*P2 */ + fp3 = floatx80_add(fp4, fp5, status); /* FP3 is P */ + fp4 = floatx80_sub(fp4, fp3, status); /* W-P */ + fp0 = floatx80_sub(fp0, fp3, status); /* FP0 is A := R - P */ + fp4 = floatx80_add(fp4, fp5, status); /* FP4 is p = (W-P)+w */ + fp3 = fp0; /* FP3 is A */ + fp1 = floatx80_sub(fp1, fp4, status); /* FP1 is a := r - p */ + fp0 = floatx80_add(fp0, fp1, status); /* FP0 is R := A+a */ + + if (endflag > 0) { + n = floatx80_to_int32(fp2, status); + goto tancont; + } + fp3 = floatx80_sub(fp3, fp0, status); /* A-R */ + fp1 = floatx80_add(fp1, fp3, status); /* FP1 is r := (A-R)+a */ + goto loop; + } else { + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + a = floatx80_move(a, status); + + float_raise(float_flag_inexact, status); + + return a; + } + } else { + fp1 = floatx80_mul(fp0, float64_to_floatx80( + make_float64(0x3FE45F306DC9C883), status), + status); /* X*2/PI */ + + n = floatx80_to_int32(fp1, status); + j = 32 + n; + + fp0 = floatx80_sub(fp0, pi_tbl[j], status); /* X-Y1 */ + fp0 = floatx80_sub(fp0, float32_to_floatx80(pi_tbl2[j], status), + status); /* FP0 IS R = (X-Y1)-Y2 */ + + tancont: + if (n & 1) { + /* NODD */ + fp1 = fp0; /* R */ + fp0 = floatx80_mul(fp0, fp0, status); /* S = R*R */ + fp3 = float64_to_floatx80(make_float64(0x3EA0B759F50F8688), + status); /* Q4 */ + fp2 = float64_to_floatx80(make_float64(0xBEF2BAA5A8924F04), + status); /* P3 */ + fp3 = floatx80_mul(fp3, fp0, status); /* SQ4 */ + fp2 = floatx80_mul(fp2, fp0, status); /* SP3 */ + fp3 = floatx80_add(fp3, float64_to_floatx80( + make_float64(0xBF346F59B39BA65F), status), + status); /* Q3+SQ4 */ + fp4 = packFloatx80(0, 0x3FF6, LIT64(0xE073D3FC199C4A00)); + fp2 = floatx80_add(fp2, fp4, status); /* P2+SP3 */ + fp3 = floatx80_mul(fp3, fp0, status); /* S(Q3+SQ4) */ + fp2 = floatx80_mul(fp2, fp0, status); /* S(P2+SP3) */ + fp4 = packFloatx80(0, 0x3FF9, LIT64(0xD23CD68415D95FA1)); + fp3 = floatx80_add(fp3, fp4, status); /* Q2+S(Q3+SQ4) */ + fp4 = packFloatx80(1, 0x3FFC, LIT64(0x8895A6C5FB423BCA)); + fp2 = floatx80_add(fp2, fp4, status); /* P1+S(P2+SP3) */ + fp3 = floatx80_mul(fp3, fp0, status); /* S(Q2+S(Q3+SQ4)) */ + fp2 = floatx80_mul(fp2, fp0, status); /* S(P1+S(P2+SP3)) */ + fp4 = packFloatx80(1, 0x3FFD, LIT64(0xEEF57E0DA84BC8CE)); + fp3 = floatx80_add(fp3, fp4, status); /* Q1+S(Q2+S(Q3+SQ4)) */ + fp2 = floatx80_mul(fp2, fp1, status); /* RS(P1+S(P2+SP3)) */ + fp0 = floatx80_mul(fp0, fp3, status); /* S(Q1+S(Q2+S(Q3+SQ4))) */ + fp1 = floatx80_add(fp1, fp2, status); /* R+RS(P1+S(P2+SP3)) */ + fp0 = floatx80_add(fp0, float32_to_floatx80( + make_float32(0x3F800000), status), + status); /* 1+S(Q1+S(Q2+S(Q3+SQ4))) */ + + xSign = extractFloatx80Sign(fp1); + xExp = extractFloatx80Exp(fp1); + xSig = extractFloatx80Frac(fp1); + xSign ^= 1; + fp1 = packFloatx80(xSign, xExp, xSig); + + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + a = floatx80_div(fp0, fp1, status); + + float_raise(float_flag_inexact, status); + + return a; + } else { + fp1 = floatx80_mul(fp0, fp0, status); /* S = R*R */ + fp3 = float64_to_floatx80(make_float64(0x3EA0B759F50F8688), + status); /* Q4 */ + fp2 = float64_to_floatx80(make_float64(0xBEF2BAA5A8924F04), + status); /* P3 */ + fp3 = floatx80_mul(fp3, fp1, status); /* SQ4 */ + fp2 = floatx80_mul(fp2, fp1, status); /* SP3 */ + fp3 = floatx80_add(fp3, float64_to_floatx80( + make_float64(0xBF346F59B39BA65F), status), + status); /* Q3+SQ4 */ + fp4 = packFloatx80(0, 0x3FF6, LIT64(0xE073D3FC199C4A00)); + fp2 = floatx80_add(fp2, fp4, status); /* P2+SP3 */ + fp3 = floatx80_mul(fp3, fp1, status); /* S(Q3+SQ4) */ + fp2 = floatx80_mul(fp2, fp1, status); /* S(P2+SP3) */ + fp4 = packFloatx80(0, 0x3FF9, LIT64(0xD23CD68415D95FA1)); + fp3 = floatx80_add(fp3, fp4, status); /* Q2+S(Q3+SQ4) */ + fp4 = packFloatx80(1, 0x3FFC, LIT64(0x8895A6C5FB423BCA)); + fp2 = floatx80_add(fp2, fp4, status); /* P1+S(P2+SP3) */ + fp3 = floatx80_mul(fp3, fp1, status); /* S(Q2+S(Q3+SQ4)) */ + fp2 = floatx80_mul(fp2, fp1, status); /* S(P1+S(P2+SP3)) */ + fp4 = packFloatx80(1, 0x3FFD, LIT64(0xEEF57E0DA84BC8CE)); + fp3 = floatx80_add(fp3, fp4, status); /* Q1+S(Q2+S(Q3+SQ4)) */ + fp2 = floatx80_mul(fp2, fp0, status); /* RS(P1+S(P2+SP3)) */ + fp1 = floatx80_mul(fp1, fp3, status); /* S(Q1+S(Q2+S(Q3+SQ4))) */ + fp0 = floatx80_add(fp0, fp2, status); /* R+RS(P1+S(P2+SP3)) */ + fp1 = floatx80_add(fp1, float32_to_floatx80( + make_float32(0x3F800000), status), + status); /* 1+S(Q1+S(Q2+S(Q3+SQ4))) */ + + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + a = floatx80_div(fp0, fp1, status); + + float_raise(float_flag_inexact, status); + + return a; + } + } +} + +/*---------------------------------------------------------------------------- + | Sine + *----------------------------------------------------------------------------*/ + +floatx80 floatx80_sin(floatx80 a, float_status *status) +{ + flag aSign, xSign; + int32_t aExp, xExp; + uint64_t aSig, xSig; + + int8_t user_rnd_mode, user_rnd_prec; + + int32_t compact, l, n, j; + floatx80 fp0, fp1, fp2, fp3, fp4, fp5, x, invtwopi, twopi1, twopi2; + float32 posneg1, twoto63; + flag adjn, endflag; + + aSig = extractFloatx80Frac(a); + aExp = extractFloatx80Exp(a); + aSign = extractFloatx80Sign(a); + + if (aExp == 0x7FFF) { + if ((uint64_t) (aSig << 1)) { + return propagateFloatx80NaNOneArg(a, status); + } + float_raise(float_flag_invalid, status); + return floatx80_default_nan(status); + } + + if (aExp == 0 && aSig == 0) { + return packFloatx80(aSign, 0, 0); + } + + adjn = 0; + + user_rnd_mode = status->float_rounding_mode; + user_rnd_prec = status->floatx80_rounding_precision; + status->float_rounding_mode = float_round_nearest_even; + status->floatx80_rounding_precision = 80; + + compact = floatx80_make_compact(aExp, aSig); + + fp0 = a; + + if (compact < 0x3FD78000 || compact > 0x4004BC7E) { + /* 2^(-40) > |X| > 15 PI */ + if (compact > 0x3FFF8000) { /* |X| >= 15 PI */ + /* REDUCEX */ + fp1 = packFloatx80(0, 0, 0); + if (compact == 0x7FFEFFFF) { + twopi1 = packFloatx80(aSign ^ 1, 0x7FFE, + LIT64(0xC90FDAA200000000)); + twopi2 = packFloatx80(aSign ^ 1, 0x7FDC, + LIT64(0x85A308D300000000)); + fp0 = floatx80_add(fp0, twopi1, status); + fp1 = fp0; + fp0 = floatx80_add(fp0, twopi2, status); + fp1 = floatx80_sub(fp1, fp0, status); + fp1 = floatx80_add(fp1, twopi2, status); + } + loop: + xSign = extractFloatx80Sign(fp0); + xExp = extractFloatx80Exp(fp0); + xExp -= 0x3FFF; + if (xExp <= 28) { + l = 0; + endflag = 1; + } else { + l = xExp - 27; + endflag = 0; + } + invtwopi = packFloatx80(0, 0x3FFE - l, + LIT64(0xA2F9836E4E44152A)); /* INVTWOPI */ + twopi1 = packFloatx80(0, 0x3FFF + l, LIT64(0xC90FDAA200000000)); + twopi2 = packFloatx80(0, 0x3FDD + l, LIT64(0x85A308D300000000)); + + /* SIGN(INARG)*2^63 IN SGL */ + twoto63 = packFloat32(xSign, 0xBE, 0); + + fp2 = floatx80_mul(fp0, invtwopi, status); + fp2 = floatx80_add(fp2, float32_to_floatx80(twoto63, status), + status); /* THE FRACT PART OF FP2 IS ROUNDED */ + fp2 = floatx80_sub(fp2, float32_to_floatx80(twoto63, status), + status); /* FP2 is N */ + fp4 = floatx80_mul(twopi1, fp2, status); /* W = N*P1 */ + fp5 = floatx80_mul(twopi2, fp2, status); /* w = N*P2 */ + fp3 = floatx80_add(fp4, fp5, status); /* FP3 is P */ + fp4 = floatx80_sub(fp4, fp3, status); /* W-P */ + fp0 = floatx80_sub(fp0, fp3, status); /* FP0 is A := R - P */ + fp4 = floatx80_add(fp4, fp5, status); /* FP4 is p = (W-P)+w */ + fp3 = fp0; /* FP3 is A */ + fp1 = floatx80_sub(fp1, fp4, status); /* FP1 is a := r - p */ + fp0 = floatx80_add(fp0, fp1, status); /* FP0 is R := A+a */ + + if (endflag > 0) { + n = floatx80_to_int32(fp2, status); + goto sincont; + } + fp3 = floatx80_sub(fp3, fp0, status); /* A-R */ + fp1 = floatx80_add(fp1, fp3, status); /* FP1 is r := (A-R)+a */ + goto loop; + } else { + /* SINSM */ + fp0 = float32_to_floatx80(make_float32(0x3F800000), + status); /* 1 */ + + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + if (adjn) { + /* COSTINY */ + a = floatx80_sub(fp0, float32_to_floatx80( + make_float32(0x00800000), status), status); + } else { + /* SINTINY */ + a = floatx80_move(a, status); + } + float_raise(float_flag_inexact, status); + + return a; + } + } else { + fp1 = floatx80_mul(fp0, float64_to_floatx80( + make_float64(0x3FE45F306DC9C883), status), + status); /* X*2/PI */ + + n = floatx80_to_int32(fp1, status); + j = 32 + n; + + fp0 = floatx80_sub(fp0, pi_tbl[j], status); /* X-Y1 */ + fp0 = floatx80_sub(fp0, float32_to_floatx80(pi_tbl2[j], status), + status); /* FP0 IS R = (X-Y1)-Y2 */ + + sincont: + if ((n + adjn) & 1) { + /* COSPOLY */ + fp0 = floatx80_mul(fp0, fp0, status); /* FP0 IS S */ + fp1 = floatx80_mul(fp0, fp0, status); /* FP1 IS T */ + fp2 = float64_to_floatx80(make_float64(0x3D2AC4D0D6011EE3), + status); /* B8 */ + fp3 = float64_to_floatx80(make_float64(0xBDA9396F9F45AC19), + status); /* B7 */ + + xSign = extractFloatx80Sign(fp0); /* X IS S */ + xExp = extractFloatx80Exp(fp0); + xSig = extractFloatx80Frac(fp0); + + if (((n + adjn) >> 1) & 1) { + xSign ^= 1; + posneg1 = make_float32(0xBF800000); /* -1 */ + } else { + xSign ^= 0; + posneg1 = make_float32(0x3F800000); /* 1 */ + } /* X IS NOW R'= SGN*R */ + + fp2 = floatx80_mul(fp2, fp1, status); /* TB8 */ + fp3 = floatx80_mul(fp3, fp1, status); /* TB7 */ + fp2 = floatx80_add(fp2, float64_to_floatx80( + make_float64(0x3E21EED90612C972), status), + status); /* B6+TB8 */ + fp3 = floatx80_add(fp3, float64_to_floatx80( + make_float64(0xBE927E4FB79D9FCF), status), + status); /* B5+TB7 */ + fp2 = floatx80_mul(fp2, fp1, status); /* T(B6+TB8) */ + fp3 = floatx80_mul(fp3, fp1, status); /* T(B5+TB7) */ + fp2 = floatx80_add(fp2, float64_to_floatx80( + make_float64(0x3EFA01A01A01D423), status), + status); /* B4+T(B6+TB8) */ + fp4 = packFloatx80(1, 0x3FF5, LIT64(0xB60B60B60B61D438)); + fp3 = floatx80_add(fp3, fp4, status); /* B3+T(B5+TB7) */ + fp2 = floatx80_mul(fp2, fp1, status); /* T(B4+T(B6+TB8)) */ + fp1 = floatx80_mul(fp1, fp3, status); /* T(B3+T(B5+TB7)) */ + fp4 = packFloatx80(0, 0x3FFA, LIT64(0xAAAAAAAAAAAAAB5E)); + fp2 = floatx80_add(fp2, fp4, status); /* B2+T(B4+T(B6+TB8)) */ + fp1 = floatx80_add(fp1, float32_to_floatx80( + make_float32(0xBF000000), status), + status); /* B1+T(B3+T(B5+TB7)) */ + fp0 = floatx80_mul(fp0, fp2, status); /* S(B2+T(B4+T(B6+TB8))) */ + fp0 = floatx80_add(fp0, fp1, status); /* [B1+T(B3+T(B5+TB7))]+ + * [S(B2+T(B4+T(B6+TB8)))] + */ + + x = packFloatx80(xSign, xExp, xSig); + fp0 = floatx80_mul(fp0, x, status); + + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + a = floatx80_add(fp0, float32_to_floatx80(posneg1, status), status); + + float_raise(float_flag_inexact, status); + + return a; + } else { + /* SINPOLY */ + xSign = extractFloatx80Sign(fp0); /* X IS R */ + xExp = extractFloatx80Exp(fp0); + xSig = extractFloatx80Frac(fp0); + + xSign ^= ((n + adjn) >> 1) & 1; /* X IS NOW R'= SGN*R */ + + fp0 = floatx80_mul(fp0, fp0, status); /* FP0 IS S */ + fp1 = floatx80_mul(fp0, fp0, status); /* FP1 IS T */ + fp3 = float64_to_floatx80(make_float64(0xBD6AAA77CCC994F5), + status); /* A7 */ + fp2 = float64_to_floatx80(make_float64(0x3DE612097AAE8DA1), + status); /* A6 */ + fp3 = floatx80_mul(fp3, fp1, status); /* T*A7 */ + fp2 = floatx80_mul(fp2, fp1, status); /* T*A6 */ + fp3 = floatx80_add(fp3, float64_to_floatx80( + make_float64(0xBE5AE6452A118AE4), status), + status); /* A5+T*A7 */ + fp2 = floatx80_add(fp2, float64_to_floatx80( + make_float64(0x3EC71DE3A5341531), status), + status); /* A4+T*A6 */ + fp3 = floatx80_mul(fp3, fp1, status); /* T(A5+TA7) */ + fp2 = floatx80_mul(fp2, fp1, status); /* T(A4+TA6) */ + fp3 = floatx80_add(fp3, float64_to_floatx80( + make_float64(0xBF2A01A01A018B59), status), + status); /* A3+T(A5+TA7) */ + fp4 = packFloatx80(0, 0x3FF8, LIT64(0x88888888888859AF)); + fp2 = floatx80_add(fp2, fp4, status); /* A2+T(A4+TA6) */ + fp1 = floatx80_mul(fp1, fp3, status); /* T(A3+T(A5+TA7)) */ + fp2 = floatx80_mul(fp2, fp0, status); /* S(A2+T(A4+TA6)) */ + fp4 = packFloatx80(1, 0x3FFC, LIT64(0xAAAAAAAAAAAAAA99)); + fp1 = floatx80_add(fp1, fp4, status); /* A1+T(A3+T(A5+TA7)) */ + fp1 = floatx80_add(fp1, fp2, + status); /* [A1+T(A3+T(A5+TA7))]+ + * [S(A2+T(A4+TA6))] + */ + + x = packFloatx80(xSign, xExp, xSig); + fp0 = floatx80_mul(fp0, x, status); /* R'*S */ + fp0 = floatx80_mul(fp0, fp1, status); /* SIN(R')-R' */ + + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + a = floatx80_add(fp0, x, status); + + float_raise(float_flag_inexact, status); + + return a; + } + } +} + +/*---------------------------------------------------------------------------- + | Cosine + *----------------------------------------------------------------------------*/ + +floatx80 floatx80_cos(floatx80 a, float_status *status) +{ + flag aSign, xSign; + int32_t aExp, xExp; + uint64_t aSig, xSig; + + int8_t user_rnd_mode, user_rnd_prec; + + int32_t compact, l, n, j; + floatx80 fp0, fp1, fp2, fp3, fp4, fp5, x, invtwopi, twopi1, twopi2; + float32 posneg1, twoto63; + flag adjn, endflag; + + aSig = extractFloatx80Frac(a); + aExp = extractFloatx80Exp(a); + aSign = extractFloatx80Sign(a); + + if (aExp == 0x7FFF) { + if ((uint64_t) (aSig << 1)) { + return propagateFloatx80NaNOneArg(a, status); + } + float_raise(float_flag_invalid, status); + return floatx80_default_nan(status); + } + + if (aExp == 0 && aSig == 0) { + return packFloatx80(0, one_exp, one_sig); + } + + adjn = 1; + + user_rnd_mode = status->float_rounding_mode; + user_rnd_prec = status->floatx80_rounding_precision; + status->float_rounding_mode = float_round_nearest_even; + status->floatx80_rounding_precision = 80; + + compact = floatx80_make_compact(aExp, aSig); + + fp0 = a; + + if (compact < 0x3FD78000 || compact > 0x4004BC7E) { + /* 2^(-40) > |X| > 15 PI */ + if (compact > 0x3FFF8000) { /* |X| >= 15 PI */ + /* REDUCEX */ + fp1 = packFloatx80(0, 0, 0); + if (compact == 0x7FFEFFFF) { + twopi1 = packFloatx80(aSign ^ 1, 0x7FFE, + LIT64(0xC90FDAA200000000)); + twopi2 = packFloatx80(aSign ^ 1, 0x7FDC, + LIT64(0x85A308D300000000)); + fp0 = floatx80_add(fp0, twopi1, status); + fp1 = fp0; + fp0 = floatx80_add(fp0, twopi2, status); + fp1 = floatx80_sub(fp1, fp0, status); + fp1 = floatx80_add(fp1, twopi2, status); + } + loop: + xSign = extractFloatx80Sign(fp0); + xExp = extractFloatx80Exp(fp0); + xExp -= 0x3FFF; + if (xExp <= 28) { + l = 0; + endflag = 1; + } else { + l = xExp - 27; + endflag = 0; + } + invtwopi = packFloatx80(0, 0x3FFE - l, + LIT64(0xA2F9836E4E44152A)); /* INVTWOPI */ + twopi1 = packFloatx80(0, 0x3FFF + l, LIT64(0xC90FDAA200000000)); + twopi2 = packFloatx80(0, 0x3FDD + l, LIT64(0x85A308D300000000)); + + /* SIGN(INARG)*2^63 IN SGL */ + twoto63 = packFloat32(xSign, 0xBE, 0); + + fp2 = floatx80_mul(fp0, invtwopi, status); + fp2 = floatx80_add(fp2, float32_to_floatx80(twoto63, status), + status); /* THE FRACT PART OF FP2 IS ROUNDED */ + fp2 = floatx80_sub(fp2, float32_to_floatx80(twoto63, status), + status); /* FP2 is N */ + fp4 = floatx80_mul(twopi1, fp2, status); /* W = N*P1 */ + fp5 = floatx80_mul(twopi2, fp2, status); /* w = N*P2 */ + fp3 = floatx80_add(fp4, fp5, status); /* FP3 is P */ + fp4 = floatx80_sub(fp4, fp3, status); /* W-P */ + fp0 = floatx80_sub(fp0, fp3, status); /* FP0 is A := R - P */ + fp4 = floatx80_add(fp4, fp5, status); /* FP4 is p = (W-P)+w */ + fp3 = fp0; /* FP3 is A */ + fp1 = floatx80_sub(fp1, fp4, status); /* FP1 is a := r - p */ + fp0 = floatx80_add(fp0, fp1, status); /* FP0 is R := A+a */ + + if (endflag > 0) { + n = floatx80_to_int32(fp2, status); + goto sincont; + } + fp3 = floatx80_sub(fp3, fp0, status); /* A-R */ + fp1 = floatx80_add(fp1, fp3, status); /* FP1 is r := (A-R)+a */ + goto loop; + } else { + /* SINSM */ + fp0 = float32_to_floatx80(make_float32(0x3F800000), status); /* 1 */ + + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + if (adjn) { + /* COSTINY */ + a = floatx80_sub(fp0, float32_to_floatx80( + make_float32(0x00800000), status), + status); + } else { + /* SINTINY */ + a = floatx80_move(a, status); + } + float_raise(float_flag_inexact, status); + + return a; + } + } else { + fp1 = floatx80_mul(fp0, float64_to_floatx80( + make_float64(0x3FE45F306DC9C883), status), + status); /* X*2/PI */ + + n = floatx80_to_int32(fp1, status); + j = 32 + n; + + fp0 = floatx80_sub(fp0, pi_tbl[j], status); /* X-Y1 */ + fp0 = floatx80_sub(fp0, float32_to_floatx80(pi_tbl2[j], status), + status); /* FP0 IS R = (X-Y1)-Y2 */ + + sincont: + if ((n + adjn) & 1) { + /* COSPOLY */ + fp0 = floatx80_mul(fp0, fp0, status); /* FP0 IS S */ + fp1 = floatx80_mul(fp0, fp0, status); /* FP1 IS T */ + fp2 = float64_to_floatx80(make_float64(0x3D2AC4D0D6011EE3), + status); /* B8 */ + fp3 = float64_to_floatx80(make_float64(0xBDA9396F9F45AC19), + status); /* B7 */ + + xSign = extractFloatx80Sign(fp0); /* X IS S */ + xExp = extractFloatx80Exp(fp0); + xSig = extractFloatx80Frac(fp0); + + if (((n + adjn) >> 1) & 1) { + xSign ^= 1; + posneg1 = make_float32(0xBF800000); /* -1 */ + } else { + xSign ^= 0; + posneg1 = make_float32(0x3F800000); /* 1 */ + } /* X IS NOW R'= SGN*R */ + + fp2 = floatx80_mul(fp2, fp1, status); /* TB8 */ + fp3 = floatx80_mul(fp3, fp1, status); /* TB7 */ + fp2 = floatx80_add(fp2, float64_to_floatx80( + make_float64(0x3E21EED90612C972), status), + status); /* B6+TB8 */ + fp3 = floatx80_add(fp3, float64_to_floatx80( + make_float64(0xBE927E4FB79D9FCF), status), + status); /* B5+TB7 */ + fp2 = floatx80_mul(fp2, fp1, status); /* T(B6+TB8) */ + fp3 = floatx80_mul(fp3, fp1, status); /* T(B5+TB7) */ + fp2 = floatx80_add(fp2, float64_to_floatx80( + make_float64(0x3EFA01A01A01D423), status), + status); /* B4+T(B6+TB8) */ + fp4 = packFloatx80(1, 0x3FF5, LIT64(0xB60B60B60B61D438)); + fp3 = floatx80_add(fp3, fp4, status); /* B3+T(B5+TB7) */ + fp2 = floatx80_mul(fp2, fp1, status); /* T(B4+T(B6+TB8)) */ + fp1 = floatx80_mul(fp1, fp3, status); /* T(B3+T(B5+TB7)) */ + fp4 = packFloatx80(0, 0x3FFA, LIT64(0xAAAAAAAAAAAAAB5E)); + fp2 = floatx80_add(fp2, fp4, status); /* B2+T(B4+T(B6+TB8)) */ + fp1 = floatx80_add(fp1, float32_to_floatx80( + make_float32(0xBF000000), status), + status); /* B1+T(B3+T(B5+TB7)) */ + fp0 = floatx80_mul(fp0, fp2, status); /* S(B2+T(B4+T(B6+TB8))) */ + fp0 = floatx80_add(fp0, fp1, status); + /* [B1+T(B3+T(B5+TB7))]+[S(B2+T(B4+T(B6+TB8)))] */ + + x = packFloatx80(xSign, xExp, xSig); + fp0 = floatx80_mul(fp0, x, status); + + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + a = floatx80_add(fp0, float32_to_floatx80(posneg1, status), status); + + float_raise(float_flag_inexact, status); + + return a; + } else { + /* SINPOLY */ + xSign = extractFloatx80Sign(fp0); /* X IS R */ + xExp = extractFloatx80Exp(fp0); + xSig = extractFloatx80Frac(fp0); + + xSign ^= ((n + adjn) >> 1) & 1; /* X IS NOW R'= SGN*R */ + + fp0 = floatx80_mul(fp0, fp0, status); /* FP0 IS S */ + fp1 = floatx80_mul(fp0, fp0, status); /* FP1 IS T */ + fp3 = float64_to_floatx80(make_float64(0xBD6AAA77CCC994F5), + status); /* A7 */ + fp2 = float64_to_floatx80(make_float64(0x3DE612097AAE8DA1), + status); /* A6 */ + fp3 = floatx80_mul(fp3, fp1, status); /* T*A7 */ + fp2 = floatx80_mul(fp2, fp1, status); /* T*A6 */ + fp3 = floatx80_add(fp3, float64_to_floatx80( + make_float64(0xBE5AE6452A118AE4), status), + status); /* A5+T*A7 */ + fp2 = floatx80_add(fp2, float64_to_floatx80( + make_float64(0x3EC71DE3A5341531), status), + status); /* A4+T*A6 */ + fp3 = floatx80_mul(fp3, fp1, status); /* T(A5+TA7) */ + fp2 = floatx80_mul(fp2, fp1, status); /* T(A4+TA6) */ + fp3 = floatx80_add(fp3, float64_to_floatx80( + make_float64(0xBF2A01A01A018B59), status), + status); /* A3+T(A5+TA7) */ + fp4 = packFloatx80(0, 0x3FF8, LIT64(0x88888888888859AF)); + fp2 = floatx80_add(fp2, fp4, status); /* A2+T(A4+TA6) */ + fp1 = floatx80_mul(fp1, fp3, status); /* T(A3+T(A5+TA7)) */ + fp2 = floatx80_mul(fp2, fp0, status); /* S(A2+T(A4+TA6)) */ + fp4 = packFloatx80(1, 0x3FFC, LIT64(0xAAAAAAAAAAAAAA99)); + fp1 = floatx80_add(fp1, fp4, status); /* A1+T(A3+T(A5+TA7)) */ + fp1 = floatx80_add(fp1, fp2, status); + /* [A1+T(A3+T(A5+TA7))]+[S(A2+T(A4+TA6))] */ + + x = packFloatx80(xSign, xExp, xSig); + fp0 = floatx80_mul(fp0, x, status); /* R'*S */ + fp0 = floatx80_mul(fp0, fp1, status); /* SIN(R')-R' */ + + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + a = floatx80_add(fp0, x, status); + + float_raise(float_flag_inexact, status); + + return a; + } + } +} + +/*---------------------------------------------------------------------------- + | Arc tangent + *----------------------------------------------------------------------------*/ + +floatx80 floatx80_atan(floatx80 a, float_status *status) +{ + flag aSign; + int32_t aExp; + uint64_t aSig; + + int8_t user_rnd_mode, user_rnd_prec; + + int32_t compact, tbl_index; + floatx80 fp0, fp1, fp2, fp3, xsave; + + aSig = extractFloatx80Frac(a); + aExp = extractFloatx80Exp(a); + aSign = extractFloatx80Sign(a); + + if (aExp == 0x7FFF) { + if ((uint64_t) (aSig << 1)) { + return propagateFloatx80NaNOneArg(a, status); + } + a = packFloatx80(aSign, piby2_exp, pi_sig); + float_raise(float_flag_inexact, status); + return floatx80_move(a, status); + } + + if (aExp == 0 && aSig == 0) { + return packFloatx80(aSign, 0, 0); + } + + compact = floatx80_make_compact(aExp, aSig); + + user_rnd_mode = status->float_rounding_mode; + user_rnd_prec = status->floatx80_rounding_precision; + status->float_rounding_mode = float_round_nearest_even; + status->floatx80_rounding_precision = 80; + + if (compact < 0x3FFB8000 || compact > 0x4002FFFF) { + /* |X| >= 16 or |X| < 1/16 */ + if (compact > 0x3FFF8000) { /* |X| >= 16 */ + if (compact > 0x40638000) { /* |X| > 2^(100) */ + fp0 = packFloatx80(aSign, piby2_exp, pi_sig); + fp1 = packFloatx80(aSign, 0x0001, one_sig); + + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + a = floatx80_sub(fp0, fp1, status); + + float_raise(float_flag_inexact, status); + + return a; + } else { + fp0 = a; + fp1 = packFloatx80(1, one_exp, one_sig); /* -1 */ + fp1 = floatx80_div(fp1, fp0, status); /* X' = -1/X */ + xsave = fp1; + fp0 = floatx80_mul(fp1, fp1, status); /* Y = X'*X' */ + fp1 = floatx80_mul(fp0, fp0, status); /* Z = Y*Y */ + fp3 = float64_to_floatx80(make_float64(0xBFB70BF398539E6A), + status); /* C5 */ + fp2 = float64_to_floatx80(make_float64(0x3FBC7187962D1D7D), + status); /* C4 */ + fp3 = floatx80_mul(fp3, fp1, status); /* Z*C5 */ + fp2 = floatx80_mul(fp2, fp1, status); /* Z*C4 */ + fp3 = floatx80_add(fp3, float64_to_floatx80( + make_float64(0xBFC24924827107B8), status), + status); /* C3+Z*C5 */ + fp2 = floatx80_add(fp2, float64_to_floatx80( + make_float64(0x3FC999999996263E), status), + status); /* C2+Z*C4 */ + fp1 = floatx80_mul(fp1, fp3, status); /* Z*(C3+Z*C5) */ + fp2 = floatx80_mul(fp2, fp0, status); /* Y*(C2+Z*C4) */ + fp1 = floatx80_add(fp1, float64_to_floatx80( + make_float64(0xBFD5555555555536), status), + status); /* C1+Z*(C3+Z*C5) */ + fp0 = floatx80_mul(fp0, xsave, status); /* X'*Y */ + /* [Y*(C2+Z*C4)]+[C1+Z*(C3+Z*C5)] */ + fp1 = floatx80_add(fp1, fp2, status); + /* X'*Y*([B1+Z*(B3+Z*B5)]+[Y*(B2+Z*(B4+Z*B6))]) ?? */ + fp0 = floatx80_mul(fp0, fp1, status); + fp0 = floatx80_add(fp0, xsave, status); + fp1 = packFloatx80(aSign, piby2_exp, pi_sig); + + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + a = floatx80_add(fp0, fp1, status); + + float_raise(float_flag_inexact, status); + + return a; + } + } else { /* |X| < 1/16 */ + if (compact < 0x3FD78000) { /* |X| < 2^(-40) */ + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + a = floatx80_move(a, status); + + float_raise(float_flag_inexact, status); + + return a; + } else { + fp0 = a; + xsave = a; + fp0 = floatx80_mul(fp0, fp0, status); /* Y = X*X */ + fp1 = floatx80_mul(fp0, fp0, status); /* Z = Y*Y */ + fp2 = float64_to_floatx80(make_float64(0x3FB344447F876989), + status); /* B6 */ + fp3 = float64_to_floatx80(make_float64(0xBFB744EE7FAF45DB), + status); /* B5 */ + fp2 = floatx80_mul(fp2, fp1, status); /* Z*B6 */ + fp3 = floatx80_mul(fp3, fp1, status); /* Z*B5 */ + fp2 = floatx80_add(fp2, float64_to_floatx80( + make_float64(0x3FBC71C646940220), status), + status); /* B4+Z*B6 */ + fp3 = floatx80_add(fp3, float64_to_floatx80( + make_float64(0xBFC24924921872F9), + status), status); /* B3+Z*B5 */ + fp2 = floatx80_mul(fp2, fp1, status); /* Z*(B4+Z*B6) */ + fp1 = floatx80_mul(fp1, fp3, status); /* Z*(B3+Z*B5) */ + fp2 = floatx80_add(fp2, float64_to_floatx80( + make_float64(0x3FC9999999998FA9), status), + status); /* B2+Z*(B4+Z*B6) */ + fp1 = floatx80_add(fp1, float64_to_floatx80( + make_float64(0xBFD5555555555555), status), + status); /* B1+Z*(B3+Z*B5) */ + fp2 = floatx80_mul(fp2, fp0, status); /* Y*(B2+Z*(B4+Z*B6)) */ + fp0 = floatx80_mul(fp0, xsave, status); /* X*Y */ + /* [B1+Z*(B3+Z*B5)]+[Y*(B2+Z*(B4+Z*B6))] */ + fp1 = floatx80_add(fp1, fp2, status); + /* X*Y*([B1+Z*(B3+Z*B5)]+[Y*(B2+Z*(B4+Z*B6))]) */ + fp0 = floatx80_mul(fp0, fp1, status); + + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + a = floatx80_add(fp0, xsave, status); + + float_raise(float_flag_inexact, status); + + return a; + } + } + } else { + aSig &= LIT64(0xF800000000000000); + aSig |= LIT64(0x0400000000000000); + xsave = packFloatx80(aSign, aExp, aSig); /* F */ + fp0 = a; + fp1 = a; /* X */ + fp2 = packFloatx80(0, one_exp, one_sig); /* 1 */ + fp1 = floatx80_mul(fp1, xsave, status); /* X*F */ + fp0 = floatx80_sub(fp0, xsave, status); /* X-F */ + fp1 = floatx80_add(fp1, fp2, status); /* 1 + X*F */ + fp0 = floatx80_div(fp0, fp1, status); /* U = (X-F)/(1+X*F) */ + + tbl_index = compact; + + tbl_index &= 0x7FFF0000; + tbl_index -= 0x3FFB0000; + tbl_index >>= 1; + tbl_index += compact & 0x00007800; + tbl_index >>= 11; + + fp3 = atan_tbl[tbl_index]; + + fp3.high |= aSign ? 0x8000 : 0; /* ATAN(F) */ + + fp1 = floatx80_mul(fp0, fp0, status); /* V = U*U */ + fp2 = float64_to_floatx80(make_float64(0xBFF6687E314987D8), + status); /* A3 */ + fp2 = floatx80_add(fp2, fp1, status); /* A3+V */ + fp2 = floatx80_mul(fp2, fp1, status); /* V*(A3+V) */ + fp1 = floatx80_mul(fp1, fp0, status); /* U*V */ + fp2 = floatx80_add(fp2, float64_to_floatx80( + make_float64(0x4002AC6934A26DB3), status), + status); /* A2+V*(A3+V) */ + fp1 = floatx80_mul(fp1, float64_to_floatx80( + make_float64(0xBFC2476F4E1DA28E), status), + status); /* A1+U*V */ + fp1 = floatx80_mul(fp1, fp2, status); /* A1*U*V*(A2+V*(A3+V)) */ + fp0 = floatx80_add(fp0, fp1, status); /* ATAN(U) */ + + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + a = floatx80_add(fp0, fp3, status); /* ATAN(X) */ + + float_raise(float_flag_inexact, status); + + return a; + } +} + +/*---------------------------------------------------------------------------- + | Arc sine + *----------------------------------------------------------------------------*/ + +floatx80 floatx80_asin(floatx80 a, float_status *status) +{ + flag aSign; + int32_t aExp; + uint64_t aSig; + + int8_t user_rnd_mode, user_rnd_prec; + + int32_t compact; + floatx80 fp0, fp1, fp2, one; + + aSig = extractFloatx80Frac(a); + aExp = extractFloatx80Exp(a); + aSign = extractFloatx80Sign(a); + + if (aExp == 0x7FFF && (uint64_t) (aSig << 1)) { + return propagateFloatx80NaNOneArg(a, status); + } + + if (aExp == 0 && aSig == 0) { + return packFloatx80(aSign, 0, 0); + } + + compact = floatx80_make_compact(aExp, aSig); + + if (compact >= 0x3FFF8000) { /* |X| >= 1 */ + if (aExp == one_exp && aSig == one_sig) { /* |X| == 1 */ + float_raise(float_flag_inexact, status); + a = packFloatx80(aSign, piby2_exp, pi_sig); + return floatx80_move(a, status); + } else { /* |X| > 1 */ + float_raise(float_flag_invalid, status); + return floatx80_default_nan(status); + } + + } /* |X| < 1 */ + + user_rnd_mode = status->float_rounding_mode; + user_rnd_prec = status->floatx80_rounding_precision; + status->float_rounding_mode = float_round_nearest_even; + status->floatx80_rounding_precision = 80; + + one = packFloatx80(0, one_exp, one_sig); + fp0 = a; + + fp1 = floatx80_sub(one, fp0, status); /* 1 - X */ + fp2 = floatx80_add(one, fp0, status); /* 1 + X */ + fp1 = floatx80_mul(fp2, fp1, status); /* (1+X)*(1-X) */ + fp1 = floatx80_sqrt(fp1, status); /* SQRT((1+X)*(1-X)) */ + fp0 = floatx80_div(fp0, fp1, status); /* X/SQRT((1+X)*(1-X)) */ + + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + a = floatx80_atan(fp0, status); /* ATAN(X/SQRT((1+X)*(1-X))) */ + + float_raise(float_flag_inexact, status); + + return a; +} + +/*---------------------------------------------------------------------------- + | Arc cosine + *----------------------------------------------------------------------------*/ + +floatx80 floatx80_acos(floatx80 a, float_status *status) +{ + flag aSign; + int32_t aExp; + uint64_t aSig; + + int8_t user_rnd_mode, user_rnd_prec; + + int32_t compact; + floatx80 fp0, fp1, one; + + aSig = extractFloatx80Frac(a); + aExp = extractFloatx80Exp(a); + aSign = extractFloatx80Sign(a); + + if (aExp == 0x7FFF && (uint64_t) (aSig << 1)) { + return propagateFloatx80NaNOneArg(a, status); + } + if (aExp == 0 && aSig == 0) { + float_raise(float_flag_inexact, status); + return roundAndPackFloatx80(status->floatx80_rounding_precision, 0, + piby2_exp, pi_sig, 0, status); + } + + compact = floatx80_make_compact(aExp, aSig); + + if (compact >= 0x3FFF8000) { /* |X| >= 1 */ + if (aExp == one_exp && aSig == one_sig) { /* |X| == 1 */ + if (aSign) { /* X == -1 */ + a = packFloatx80(0, pi_exp, pi_sig); + float_raise(float_flag_inexact, status); + return floatx80_move(a, status); + } else { /* X == +1 */ + return packFloatx80(0, 0, 0); + } + } else { /* |X| > 1 */ + float_raise(float_flag_invalid, status); + return floatx80_default_nan(status); + } + } /* |X| < 1 */ + + user_rnd_mode = status->float_rounding_mode; + user_rnd_prec = status->floatx80_rounding_precision; + status->float_rounding_mode = float_round_nearest_even; + status->floatx80_rounding_precision = 80; + + one = packFloatx80(0, one_exp, one_sig); + fp0 = a; + + fp1 = floatx80_add(one, fp0, status); /* 1 + X */ + fp0 = floatx80_sub(one, fp0, status); /* 1 - X */ + fp0 = floatx80_div(fp0, fp1, status); /* (1-X)/(1+X) */ + fp0 = floatx80_sqrt(fp0, status); /* SQRT((1-X)/(1+X)) */ + fp0 = floatx80_atan(fp0, status); /* ATAN(SQRT((1-X)/(1+X))) */ + + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + a = floatx80_add(fp0, fp0, status); /* 2 * ATAN(SQRT((1-X)/(1+X))) */ + + float_raise(float_flag_inexact, status); + + return a; +} + +/*---------------------------------------------------------------------------- + | Hyperbolic arc tangent + *----------------------------------------------------------------------------*/ + +floatx80 floatx80_atanh(floatx80 a, float_status *status) +{ + flag aSign; + int32_t aExp; + uint64_t aSig; + + int8_t user_rnd_mode, user_rnd_prec; + + int32_t compact; + floatx80 fp0, fp1, fp2, one; + + aSig = extractFloatx80Frac(a); + aExp = extractFloatx80Exp(a); + aSign = extractFloatx80Sign(a); + + if (aExp == 0x7FFF && (uint64_t) (aSig << 1)) { + return propagateFloatx80NaNOneArg(a, status); + } + + if (aExp == 0 && aSig == 0) { + return packFloatx80(aSign, 0, 0); + } + + compact = floatx80_make_compact(aExp, aSig); + + if (compact >= 0x3FFF8000) { /* |X| >= 1 */ + if (aExp == one_exp && aSig == one_sig) { /* |X| == 1 */ + float_raise(float_flag_divbyzero, status); + return packFloatx80(aSign, floatx80_infinity.high, + floatx80_infinity.low); + } else { /* |X| > 1 */ + float_raise(float_flag_invalid, status); + return floatx80_default_nan(status); + } + } /* |X| < 1 */ + + user_rnd_mode = status->float_rounding_mode; + user_rnd_prec = status->floatx80_rounding_precision; + status->float_rounding_mode = float_round_nearest_even; + status->floatx80_rounding_precision = 80; + + one = packFloatx80(0, one_exp, one_sig); + fp2 = packFloatx80(aSign, 0x3FFE, one_sig); /* SIGN(X) * (1/2) */ + fp0 = packFloatx80(0, aExp, aSig); /* Y = |X| */ + fp1 = packFloatx80(1, aExp, aSig); /* -Y */ + fp0 = floatx80_add(fp0, fp0, status); /* 2Y */ + fp1 = floatx80_add(fp1, one, status); /* 1-Y */ + fp0 = floatx80_div(fp0, fp1, status); /* Z = 2Y/(1-Y) */ + fp0 = floatx80_lognp1(fp0, status); /* LOG1P(Z) */ + + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + a = floatx80_mul(fp0, fp2, + status); /* ATANH(X) = SIGN(X) * (1/2) * LOG1P(Z) */ + + float_raise(float_flag_inexact, status); + + return a; +} + +/*---------------------------------------------------------------------------- + | e to x minus 1 + *----------------------------------------------------------------------------*/ + +floatx80 floatx80_etoxm1(floatx80 a, float_status *status) +{ + flag aSign; + int32_t aExp; + uint64_t aSig; + + int8_t user_rnd_mode, user_rnd_prec; + + int32_t compact, n, j, m, m1; + floatx80 fp0, fp1, fp2, fp3, l2, sc, onebysc; + + aSig = extractFloatx80Frac(a); + aExp = extractFloatx80Exp(a); + aSign = extractFloatx80Sign(a); + + if (aExp == 0x7FFF) { + if ((uint64_t) (aSig << 1)) { + return propagateFloatx80NaNOneArg(a, status); + } + if (aSign) { + return packFloatx80(aSign, one_exp, one_sig); + } + return packFloatx80(0, floatx80_infinity.high, + floatx80_infinity.low); + } + + if (aExp == 0 && aSig == 0) { + return packFloatx80(aSign, 0, 0); + } + + user_rnd_mode = status->float_rounding_mode; + user_rnd_prec = status->floatx80_rounding_precision; + status->float_rounding_mode = float_round_nearest_even; + status->floatx80_rounding_precision = 80; + + if (aExp >= 0x3FFD) { /* |X| >= 1/4 */ + compact = floatx80_make_compact(aExp, aSig); + + if (compact <= 0x4004C215) { /* |X| <= 70 log2 */ + fp0 = a; + fp1 = a; + fp0 = floatx80_mul(fp0, float32_to_floatx80( + make_float32(0x42B8AA3B), status), + status); /* 64/log2 * X */ + n = floatx80_to_int32(fp0, status); /* int(64/log2*X) */ + fp0 = int32_to_floatx80(n, status); + + j = n & 0x3F; /* J = N mod 64 */ + m = n / 64; /* NOTE: this is really arithmetic right shift by 6 */ + if (n < 0 && j) { + /* arithmetic right shift is division and + * round towards minus infinity + */ + m--; + } + m1 = -m; + /*m += 0x3FFF; // biased exponent of 2^(M) */ + /*m1 += 0x3FFF; // biased exponent of -2^(-M) */ + + fp2 = fp0; /* N */ + fp0 = floatx80_mul(fp0, float32_to_floatx80( + make_float32(0xBC317218), status), + status); /* N * L1, L1 = lead(-log2/64) */ + l2 = packFloatx80(0, 0x3FDC, LIT64(0x82E308654361C4C6)); + fp2 = floatx80_mul(fp2, l2, status); /* N * L2, L1+L2 = -log2/64 */ + fp0 = floatx80_add(fp0, fp1, status); /* X + N*L1 */ + fp0 = floatx80_add(fp0, fp2, status); /* R */ + + fp1 = floatx80_mul(fp0, fp0, status); /* S = R*R */ + fp2 = float32_to_floatx80(make_float32(0x3950097B), + status); /* A6 */ + fp2 = floatx80_mul(fp2, fp1, status); /* fp2 is S*A6 */ + fp3 = floatx80_mul(float32_to_floatx80(make_float32(0x3AB60B6A), + status), fp1, status); /* fp3 is S*A5 */ + fp2 = floatx80_add(fp2, float64_to_floatx80( + make_float64(0x3F81111111174385), status), + status); /* fp2 IS A4+S*A6 */ + fp3 = floatx80_add(fp3, float64_to_floatx80( + make_float64(0x3FA5555555554F5A), status), + status); /* fp3 is A3+S*A5 */ + fp2 = floatx80_mul(fp2, fp1, status); /* fp2 IS S*(A4+S*A6) */ + fp3 = floatx80_mul(fp3, fp1, status); /* fp3 IS S*(A3+S*A5) */ + fp2 = floatx80_add(fp2, float64_to_floatx80( + make_float64(0x3FC5555555555555), status), + status); /* fp2 IS A2+S*(A4+S*A6) */ + fp3 = floatx80_add(fp3, float32_to_floatx80( + make_float32(0x3F000000), status), + status); /* fp3 IS A1+S*(A3+S*A5) */ + fp2 = floatx80_mul(fp2, fp1, + status); /* fp2 IS S*(A2+S*(A4+S*A6)) */ + fp1 = floatx80_mul(fp1, fp3, + status); /* fp1 IS S*(A1+S*(A3+S*A5)) */ + fp2 = floatx80_mul(fp2, fp0, + status); /* fp2 IS R*S*(A2+S*(A4+S*A6)) */ + fp0 = floatx80_add(fp0, fp1, + status); /* fp0 IS R+S*(A1+S*(A3+S*A5)) */ + fp0 = floatx80_add(fp0, fp2, status); /* fp0 IS EXP(R) - 1 */ + + fp0 = floatx80_mul(fp0, exp_tbl[j], + status); /* 2^(J/64)*(Exp(R)-1) */ + + if (m >= 64) { + fp1 = float32_to_floatx80(exp_tbl2[j], status); + onebysc = packFloatx80(1, m1 + 0x3FFF, one_sig); /* -2^(-M) */ + fp1 = floatx80_add(fp1, onebysc, status); + fp0 = floatx80_add(fp0, fp1, status); + fp0 = floatx80_add(fp0, exp_tbl[j], status); + } else if (m < -3) { + fp0 = floatx80_add(fp0, float32_to_floatx80(exp_tbl2[j], + status), status); + fp0 = floatx80_add(fp0, exp_tbl[j], status); + onebysc = packFloatx80(1, m1 + 0x3FFF, one_sig); /* -2^(-M) */ + fp0 = floatx80_add(fp0, onebysc, status); + } else { /* -3 <= m <= 63 */ + fp1 = exp_tbl[j]; + fp0 = floatx80_add(fp0, float32_to_floatx80(exp_tbl2[j], + status), status); + onebysc = packFloatx80(1, m1 + 0x3FFF, one_sig); /* -2^(-M) */ + fp1 = floatx80_add(fp1, onebysc, status); + fp0 = floatx80_add(fp0, fp1, status); + } + + sc = packFloatx80(0, m + 0x3FFF, one_sig); + + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + a = floatx80_mul(fp0, sc, status); + + float_raise(float_flag_inexact, status); + + return a; + } else { /* |X| > 70 log2 */ + if (aSign) { + fp0 = float32_to_floatx80(make_float32(0xBF800000), + status); /* -1 */ + + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + a = floatx80_add(fp0, float32_to_floatx80( + make_float32(0x00800000), status), + status); /* -1 + 2^(-126) */ + + float_raise(float_flag_inexact, status); + + return a; + } else { + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + return floatx80_etox(a, status); + } + } + } else { /* |X| < 1/4 */ + if (aExp >= 0x3FBE) { + fp0 = a; + fp0 = floatx80_mul(fp0, fp0, status); /* S = X*X */ + fp1 = float32_to_floatx80(make_float32(0x2F30CAA8), + status); /* B12 */ + fp1 = floatx80_mul(fp1, fp0, status); /* S * B12 */ + fp2 = float32_to_floatx80(make_float32(0x310F8290), + status); /* B11 */ + fp1 = floatx80_add(fp1, float32_to_floatx80( + make_float32(0x32D73220), status), + status); /* B10 */ + fp2 = floatx80_mul(fp2, fp0, status); + fp1 = floatx80_mul(fp1, fp0, status); + fp2 = floatx80_add(fp2, float32_to_floatx80( + make_float32(0x3493F281), status), + status); /* B9 */ + fp1 = floatx80_add(fp1, float64_to_floatx80( + make_float64(0x3EC71DE3A5774682), status), + status); /* B8 */ + fp2 = floatx80_mul(fp2, fp0, status); + fp1 = floatx80_mul(fp1, fp0, status); + fp2 = floatx80_add(fp2, float64_to_floatx80( + make_float64(0x3EFA01A019D7CB68), status), + status); /* B7 */ + fp1 = floatx80_add(fp1, float64_to_floatx80( + make_float64(0x3F2A01A01A019DF3), status), + status); /* B6 */ + fp2 = floatx80_mul(fp2, fp0, status); + fp1 = floatx80_mul(fp1, fp0, status); + fp2 = floatx80_add(fp2, float64_to_floatx80( + make_float64(0x3F56C16C16C170E2), status), + status); /* B5 */ + fp1 = floatx80_add(fp1, float64_to_floatx80( + make_float64(0x3F81111111111111), status), + status); /* B4 */ + fp2 = floatx80_mul(fp2, fp0, status); + fp1 = floatx80_mul(fp1, fp0, status); + fp2 = floatx80_add(fp2, float64_to_floatx80( + make_float64(0x3FA5555555555555), status), + status); /* B3 */ + fp3 = packFloatx80(0, 0x3FFC, LIT64(0xAAAAAAAAAAAAAAAB)); + fp1 = floatx80_add(fp1, fp3, status); /* B2 */ + fp2 = floatx80_mul(fp2, fp0, status); + fp1 = floatx80_mul(fp1, fp0, status); + + fp2 = floatx80_mul(fp2, fp0, status); + fp1 = floatx80_mul(fp1, a, status); + + fp0 = floatx80_mul(fp0, float32_to_floatx80( + make_float32(0x3F000000), status), + status); /* S*B1 */ + fp1 = floatx80_add(fp1, fp2, status); /* Q */ + fp0 = floatx80_add(fp0, fp1, status); /* S*B1+Q */ + + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + a = floatx80_add(fp0, a, status); + + float_raise(float_flag_inexact, status); + + return a; + } else { /* |X| < 2^(-65) */ + sc = packFloatx80(1, 1, one_sig); + fp0 = a; + + if (aExp < 0x0033) { /* |X| < 2^(-16382) */ + fp0 = floatx80_mul(fp0, float64_to_floatx80( + make_float64(0x48B0000000000000), status), + status); + fp0 = floatx80_add(fp0, sc, status); + + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + a = floatx80_mul(fp0, float64_to_floatx80( + make_float64(0x3730000000000000), status), + status); + } else { + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + a = floatx80_add(fp0, sc, status); + } + + float_raise(float_flag_inexact, status); + + return a; + } + } +} + +/*---------------------------------------------------------------------------- + | Hyperbolic tangent + *----------------------------------------------------------------------------*/ + +floatx80 floatx80_tanh(floatx80 a, float_status *status) +{ + flag aSign, vSign; + int32_t aExp, vExp; + uint64_t aSig, vSig; + + int8_t user_rnd_mode, user_rnd_prec; + + int32_t compact; + floatx80 fp0, fp1; + uint32_t sign; + + aSig = extractFloatx80Frac(a); + aExp = extractFloatx80Exp(a); + aSign = extractFloatx80Sign(a); + + if (aExp == 0x7FFF) { + if ((uint64_t) (aSig << 1)) { + return propagateFloatx80NaNOneArg(a, status); + } + return packFloatx80(aSign, one_exp, one_sig); + } + + if (aExp == 0 && aSig == 0) { + return packFloatx80(aSign, 0, 0); + } + + user_rnd_mode = status->float_rounding_mode; + user_rnd_prec = status->floatx80_rounding_precision; + status->float_rounding_mode = float_round_nearest_even; + status->floatx80_rounding_precision = 80; + + compact = floatx80_make_compact(aExp, aSig); + + if (compact < 0x3FD78000 || compact > 0x3FFFDDCE) { + /* TANHBORS */ + if (compact < 0x3FFF8000) { + /* TANHSM */ + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + a = floatx80_move(a, status); + + float_raise(float_flag_inexact, status); + + return a; + } else { + if (compact > 0x40048AA1) { + /* TANHHUGE */ + sign = 0x3F800000; + sign |= aSign ? 0x80000000 : 0x00000000; + fp0 = float32_to_floatx80(make_float32(sign), status); + sign &= 0x80000000; + sign ^= 0x80800000; /* -SIGN(X)*EPS */ + + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + a = floatx80_add(fp0, float32_to_floatx80(make_float32(sign), + status), status); + + float_raise(float_flag_inexact, status); + + return a; + } else { + fp0 = packFloatx80(0, aExp + 1, aSig); /* Y = 2|X| */ + fp0 = floatx80_etox(fp0, status); /* FP0 IS EXP(Y) */ + fp0 = floatx80_add(fp0, float32_to_floatx80( + make_float32(0x3F800000), + status), status); /* EXP(Y)+1 */ + sign = aSign ? 0x80000000 : 0x00000000; + fp1 = floatx80_div(float32_to_floatx80(make_float32( + sign ^ 0xC0000000), status), fp0, + status); /* -SIGN(X)*2 / [EXP(Y)+1] */ + fp0 = float32_to_floatx80(make_float32(sign | 0x3F800000), + status); /* SIGN */ + + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + a = floatx80_add(fp1, fp0, status); + + float_raise(float_flag_inexact, status); + + return a; + } + } + } else { /* 2**(-40) < |X| < (5/2)LOG2 */ + fp0 = packFloatx80(0, aExp + 1, aSig); /* Y = 2|X| */ + fp0 = floatx80_etoxm1(fp0, status); /* FP0 IS Z = EXPM1(Y) */ + fp1 = floatx80_add(fp0, float32_to_floatx80(make_float32(0x40000000), + status), + status); /* Z+2 */ + + vSign = extractFloatx80Sign(fp1); + vExp = extractFloatx80Exp(fp1); + vSig = extractFloatx80Frac(fp1); + + fp1 = packFloatx80(vSign ^ aSign, vExp, vSig); + + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + a = floatx80_div(fp0, fp1, status); + + float_raise(float_flag_inexact, status); + + return a; + } +} + +/*---------------------------------------------------------------------------- + | Hyperbolic sine + *----------------------------------------------------------------------------*/ + +floatx80 floatx80_sinh(floatx80 a, float_status *status) +{ + flag aSign; + int32_t aExp; + uint64_t aSig; + + int8_t user_rnd_mode, user_rnd_prec; + + int32_t compact; + floatx80 fp0, fp1, fp2; + float32 fact; + + aSig = extractFloatx80Frac(a); + aExp = extractFloatx80Exp(a); + aSign = extractFloatx80Sign(a); + + if (aExp == 0x7FFF) { + if ((uint64_t) (aSig << 1)) { + return propagateFloatx80NaNOneArg(a, status); + } + return packFloatx80(aSign, floatx80_infinity.high, + floatx80_infinity.low); + } + + if (aExp == 0 && aSig == 0) { + return packFloatx80(aSign, 0, 0); + } + + user_rnd_mode = status->float_rounding_mode; + user_rnd_prec = status->floatx80_rounding_precision; + status->float_rounding_mode = float_round_nearest_even; + status->floatx80_rounding_precision = 80; + + compact = floatx80_make_compact(aExp, aSig); + + if (compact > 0x400CB167) { + /* SINHBIG */ + if (compact > 0x400CB2B3) { + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + return roundAndPackFloatx80(status->floatx80_rounding_precision, + aSign, 0x8000, aSig, 0, status); + } else { + fp0 = floatx80_abs(a); /* Y = |X| */ + fp0 = floatx80_sub(fp0, float64_to_floatx80( + make_float64(0x40C62D38D3D64634), status), + status); /* (|X|-16381LOG2_LEAD) */ + fp0 = floatx80_sub(fp0, float64_to_floatx80( + make_float64(0x3D6F90AEB1E75CC7), status), + status); /* |X| - 16381 LOG2, ACCURATE */ + fp0 = floatx80_etox(fp0, status); + fp2 = packFloatx80(aSign, 0x7FFB, one_sig); + + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + a = floatx80_mul(fp0, fp2, status); + + float_raise(float_flag_inexact, status); + + return a; + } + } else { /* |X| < 16380 LOG2 */ + fp0 = floatx80_abs(a); /* Y = |X| */ + fp0 = floatx80_etoxm1(fp0, status); /* FP0 IS Z = EXPM1(Y) */ + fp1 = floatx80_add(fp0, float32_to_floatx80(make_float32(0x3F800000), + status), status); /* 1+Z */ + fp2 = fp0; + fp0 = floatx80_div(fp0, fp1, status); /* Z/(1+Z) */ + fp0 = floatx80_add(fp0, fp2, status); + + fact = packFloat32(aSign, 0x7E, 0); + + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + a = floatx80_mul(fp0, float32_to_floatx80(fact, status), status); + + float_raise(float_flag_inexact, status); + + return a; + } +} + +/*---------------------------------------------------------------------------- + | Hyperbolic cosine + *----------------------------------------------------------------------------*/ + +floatx80 floatx80_cosh(floatx80 a, float_status *status) +{ + int32_t aExp; + uint64_t aSig; + + int8_t user_rnd_mode, user_rnd_prec; + + int32_t compact; + floatx80 fp0, fp1; + + aSig = extractFloatx80Frac(a); + aExp = extractFloatx80Exp(a); + + if (aExp == 0x7FFF) { + if ((uint64_t) (aSig << 1)) { + return propagateFloatx80NaNOneArg(a, status); + } + return packFloatx80(0, floatx80_infinity.high, + floatx80_infinity.low); + } + + if (aExp == 0 && aSig == 0) { + return packFloatx80(0, one_exp, one_sig); + } + + user_rnd_mode = status->float_rounding_mode; + user_rnd_prec = status->floatx80_rounding_precision; + status->float_rounding_mode = float_round_nearest_even; + status->floatx80_rounding_precision = 80; + + compact = floatx80_make_compact(aExp, aSig); + + if (compact > 0x400CB167) { + if (compact > 0x400CB2B3) { + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + return roundAndPackFloatx80(status->floatx80_rounding_precision, 0, + 0x8000, one_sig, 0, status); + } else { + fp0 = packFloatx80(0, aExp, aSig); + fp0 = floatx80_sub(fp0, float64_to_floatx80( + make_float64(0x40C62D38D3D64634), status), + status); + fp0 = floatx80_sub(fp0, float64_to_floatx80( + make_float64(0x3D6F90AEB1E75CC7), status), + status); + fp0 = floatx80_etox(fp0, status); + fp1 = packFloatx80(0, 0x7FFB, one_sig); + + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + a = floatx80_mul(fp0, fp1, status); + + float_raise(float_flag_inexact, status); + + return a; + } + } + + fp0 = packFloatx80(0, aExp, aSig); /* |X| */ + fp0 = floatx80_etox(fp0, status); /* EXP(|X|) */ + fp0 = floatx80_mul(fp0, float32_to_floatx80(make_float32(0x3F000000), + status), status); /* (1/2)*EXP(|X|) */ + fp1 = float32_to_floatx80(make_float32(0x3E800000), status); /* 1/4 */ + fp1 = floatx80_div(fp1, fp0, status); /* 1/(2*EXP(|X|)) */ + + status->float_rounding_mode = user_rnd_mode; + status->floatx80_rounding_precision = user_rnd_prec; + + a = floatx80_add(fp0, fp1, status); + + float_raise(float_flag_inexact, status); + + return a; +} diff --git a/target/m68k/softfloat.h b/target/m68k/softfloat.h index 78fbc0cd0c..602661d5a8 100644 --- a/target/m68k/softfloat.h +++ b/target/m68k/softfloat.h @@ -26,4 +26,23 @@ floatx80 floatx80_mod(floatx80 a, floatx80 b, float_status *status); floatx80 floatx80_getman(floatx80 a, float_status *status); floatx80 floatx80_getexp(floatx80 a, float_status *status); floatx80 floatx80_scale(floatx80 a, floatx80 b, float_status *status); +floatx80 floatx80_move(floatx80 a, float_status *status); +floatx80 floatx80_lognp1(floatx80 a, float_status *status); +floatx80 floatx80_logn(floatx80 a, float_status *status); +floatx80 floatx80_log10(floatx80 a, float_status *status); +floatx80 floatx80_log2(floatx80 a, float_status *status); +floatx80 floatx80_etox(floatx80 a, float_status *status); +floatx80 floatx80_twotox(floatx80 a, float_status *status); +floatx80 floatx80_tentox(floatx80 a, float_status *status); +floatx80 floatx80_tan(floatx80 a, float_status *status); +floatx80 floatx80_sin(floatx80 a, float_status *status); +floatx80 floatx80_cos(floatx80 a, float_status *status); +floatx80 floatx80_atan(floatx80 a, float_status *status); +floatx80 floatx80_asin(floatx80 a, float_status *status); +floatx80 floatx80_acos(floatx80 a, float_status *status); +floatx80 floatx80_atanh(floatx80 a, float_status *status); +floatx80 floatx80_etoxm1(floatx80 a, float_status *status); +floatx80 floatx80_tanh(floatx80 a, float_status *status); +floatx80 floatx80_sinh(floatx80 a, float_status *status); +floatx80 floatx80_cosh(floatx80 a, float_status *status); #endif diff --git a/target/m68k/softfloat_fpsp_tables.h b/target/m68k/softfloat_fpsp_tables.h new file mode 100644 index 0000000000..3f1419ee6e --- /dev/null +++ b/target/m68k/softfloat_fpsp_tables.h @@ -0,0 +1,641 @@ +/* + * Ported from a work by Andreas Grabher for Previous, NeXT Computer Emulator, + * derived from NetBSD M68040 FPSP functions, + * derived from release 2a of the SoftFloat IEC/IEEE Floating-point Arithmetic + * Package. Those parts of the code (and some later contributions) are + * provided under that license, as detailed below. + * It has subsequently been modified by contributors to the QEMU Project, + * so some portions are provided under: + * the SoftFloat-2a license + * the BSD license + * GPL-v2-or-later + * + * Any future contributions to this file will be taken to be licensed under + * the Softfloat-2a license unless specifically indicated otherwise. + */ + +/* Portions of this work are licensed under the terms of the GNU GPL, + * version 2 or later. See the COPYING file in the top-level directory. + */ + +#ifndef TARGET_M68K_SOFTFLOAT_FPSP_TABLES_H +#define TARGET_M68K_SOFTFLOAT_FPSP_TABLES_H + +static const floatx80 log_tbl[128] = { + make_floatx80_init(0x3FFE, 0xFE03F80FE03F80FE), + make_floatx80_init(0x3FF7, 0xFF015358833C47E2), + make_floatx80_init(0x3FFE, 0xFA232CF252138AC0), + make_floatx80_init(0x3FF9, 0xBDC8D83EAD88D549), + make_floatx80_init(0x3FFE, 0xF6603D980F6603DA), + make_floatx80_init(0x3FFA, 0x9CF43DCFF5EAFD48), + make_floatx80_init(0x3FFE, 0xF2B9D6480F2B9D65), + make_floatx80_init(0x3FFA, 0xDA16EB88CB8DF614), + make_floatx80_init(0x3FFE, 0xEF2EB71FC4345238), + make_floatx80_init(0x3FFB, 0x8B29B7751BD70743), + make_floatx80_init(0x3FFE, 0xEBBDB2A5C1619C8C), + make_floatx80_init(0x3FFB, 0xA8D839F830C1FB49), + make_floatx80_init(0x3FFE, 0xE865AC7B7603A197), + make_floatx80_init(0x3FFB, 0xC61A2EB18CD907AD), + make_floatx80_init(0x3FFE, 0xE525982AF70C880E), + make_floatx80_init(0x3FFB, 0xE2F2A47ADE3A18AF), + make_floatx80_init(0x3FFE, 0xE1FC780E1FC780E2), + make_floatx80_init(0x3FFB, 0xFF64898EDF55D551), + make_floatx80_init(0x3FFE, 0xDEE95C4CA037BA57), + make_floatx80_init(0x3FFC, 0x8DB956A97B3D0148), + make_floatx80_init(0x3FFE, 0xDBEB61EED19C5958), + make_floatx80_init(0x3FFC, 0x9B8FE100F47BA1DE), + make_floatx80_init(0x3FFE, 0xD901B2036406C80E), + make_floatx80_init(0x3FFC, 0xA9372F1D0DA1BD17), + make_floatx80_init(0x3FFE, 0xD62B80D62B80D62C), + make_floatx80_init(0x3FFC, 0xB6B07F38CE90E46B), + make_floatx80_init(0x3FFE, 0xD3680D3680D3680D), + make_floatx80_init(0x3FFC, 0xC3FD032906488481), + make_floatx80_init(0x3FFE, 0xD0B69FCBD2580D0B), + make_floatx80_init(0x3FFC, 0xD11DE0FF15AB18CA), + make_floatx80_init(0x3FFE, 0xCE168A7725080CE1), + make_floatx80_init(0x3FFC, 0xDE1433A16C66B150), + make_floatx80_init(0x3FFE, 0xCB8727C065C393E0), + make_floatx80_init(0x3FFC, 0xEAE10B5A7DDC8ADD), + make_floatx80_init(0x3FFE, 0xC907DA4E871146AD), + make_floatx80_init(0x3FFC, 0xF7856E5EE2C9B291), + make_floatx80_init(0x3FFE, 0xC6980C6980C6980C), + make_floatx80_init(0x3FFD, 0x82012CA5A68206D7), + make_floatx80_init(0x3FFE, 0xC4372F855D824CA6), + make_floatx80_init(0x3FFD, 0x882C5FCD7256A8C5), + make_floatx80_init(0x3FFE, 0xC1E4BBD595F6E947), + make_floatx80_init(0x3FFD, 0x8E44C60B4CCFD7DE), + make_floatx80_init(0x3FFE, 0xBFA02FE80BFA02FF), + make_floatx80_init(0x3FFD, 0x944AD09EF4351AF6), + make_floatx80_init(0x3FFE, 0xBD69104707661AA3), + make_floatx80_init(0x3FFD, 0x9A3EECD4C3EAA6B2), + make_floatx80_init(0x3FFE, 0xBB3EE721A54D880C), + make_floatx80_init(0x3FFD, 0xA0218434353F1DE8), + make_floatx80_init(0x3FFE, 0xB92143FA36F5E02E), + make_floatx80_init(0x3FFD, 0xA5F2FCABBBC506DA), + make_floatx80_init(0x3FFE, 0xB70FBB5A19BE3659), + make_floatx80_init(0x3FFD, 0xABB3B8BA2AD362A5), + make_floatx80_init(0x3FFE, 0xB509E68A9B94821F), + make_floatx80_init(0x3FFD, 0xB1641795CE3CA97B), + make_floatx80_init(0x3FFE, 0xB30F63528917C80B), + make_floatx80_init(0x3FFD, 0xB70475515D0F1C61), + make_floatx80_init(0x3FFE, 0xB11FD3B80B11FD3C), + make_floatx80_init(0x3FFD, 0xBC952AFEEA3D13E1), + make_floatx80_init(0x3FFE, 0xAF3ADDC680AF3ADE), + make_floatx80_init(0x3FFD, 0xC2168ED0F458BA4A), + make_floatx80_init(0x3FFE, 0xAD602B580AD602B6), + make_floatx80_init(0x3FFD, 0xC788F439B3163BF1), + make_floatx80_init(0x3FFE, 0xAB8F69E28359CD11), + make_floatx80_init(0x3FFD, 0xCCECAC08BF04565D), + make_floatx80_init(0x3FFE, 0xA9C84A47A07F5638), + make_floatx80_init(0x3FFD, 0xD24204872DD85160), + make_floatx80_init(0x3FFE, 0xA80A80A80A80A80B), + make_floatx80_init(0x3FFD, 0xD78949923BC3588A), + make_floatx80_init(0x3FFE, 0xA655C4392D7B73A8), + make_floatx80_init(0x3FFD, 0xDCC2C4B49887DACC), + make_floatx80_init(0x3FFE, 0xA4A9CF1D96833751), + make_floatx80_init(0x3FFD, 0xE1EEBD3E6D6A6B9E), + make_floatx80_init(0x3FFE, 0xA3065E3FAE7CD0E0), + make_floatx80_init(0x3FFD, 0xE70D785C2F9F5BDC), + make_floatx80_init(0x3FFE, 0xA16B312EA8FC377D), + make_floatx80_init(0x3FFD, 0xEC1F392C5179F283), + make_floatx80_init(0x3FFE, 0x9FD809FD809FD80A), + make_floatx80_init(0x3FFD, 0xF12440D3E36130E6), + make_floatx80_init(0x3FFE, 0x9E4CAD23DD5F3A20), + make_floatx80_init(0x3FFD, 0xF61CCE92346600BB), + make_floatx80_init(0x3FFE, 0x9CC8E160C3FB19B9), + make_floatx80_init(0x3FFD, 0xFB091FD38145630A), + make_floatx80_init(0x3FFE, 0x9B4C6F9EF03A3CAA), + make_floatx80_init(0x3FFD, 0xFFE97042BFA4C2AD), + make_floatx80_init(0x3FFE, 0x99D722DABDE58F06), + make_floatx80_init(0x3FFE, 0x825EFCED49369330), + make_floatx80_init(0x3FFE, 0x9868C809868C8098), + make_floatx80_init(0x3FFE, 0x84C37A7AB9A905C9), + make_floatx80_init(0x3FFE, 0x97012E025C04B809), + make_floatx80_init(0x3FFE, 0x87224C2E8E645FB7), + make_floatx80_init(0x3FFE, 0x95A02568095A0257), + make_floatx80_init(0x3FFE, 0x897B8CAC9F7DE298), + make_floatx80_init(0x3FFE, 0x9445809445809446), + make_floatx80_init(0x3FFE, 0x8BCF55DEC4CD05FE), + make_floatx80_init(0x3FFE, 0x92F113840497889C), + make_floatx80_init(0x3FFE, 0x8E1DC0FB89E125E5), + make_floatx80_init(0x3FFE, 0x91A2B3C4D5E6F809), + make_floatx80_init(0x3FFE, 0x9066E68C955B6C9B), + make_floatx80_init(0x3FFE, 0x905A38633E06C43B), + make_floatx80_init(0x3FFE, 0x92AADE74C7BE59E0), + make_floatx80_init(0x3FFE, 0x8F1779D9FDC3A219), + make_floatx80_init(0x3FFE, 0x94E9BFF615845643), + make_floatx80_init(0x3FFE, 0x8DDA520237694809), + make_floatx80_init(0x3FFE, 0x9723A1B720134203), + make_floatx80_init(0x3FFE, 0x8CA29C046514E023), + make_floatx80_init(0x3FFE, 0x995899C890EB8990), + make_floatx80_init(0x3FFE, 0x8B70344A139BC75A), + make_floatx80_init(0x3FFE, 0x9B88BDAA3A3DAE2F), + make_floatx80_init(0x3FFE, 0x8A42F8705669DB46), + make_floatx80_init(0x3FFE, 0x9DB4224FFFE1157C), + make_floatx80_init(0x3FFE, 0x891AC73AE9819B50), + make_floatx80_init(0x3FFE, 0x9FDADC268B7A12DA), + make_floatx80_init(0x3FFE, 0x87F78087F78087F8), + make_floatx80_init(0x3FFE, 0xA1FCFF17CE733BD4), + make_floatx80_init(0x3FFE, 0x86D905447A34ACC6), + make_floatx80_init(0x3FFE, 0xA41A9E8F5446FB9F), + make_floatx80_init(0x3FFE, 0x85BF37612CEE3C9B), + make_floatx80_init(0x3FFE, 0xA633CD7E6771CD8B), + make_floatx80_init(0x3FFE, 0x84A9F9C8084A9F9D), + make_floatx80_init(0x3FFE, 0xA8489E600B435A5E), + make_floatx80_init(0x3FFE, 0x839930523FBE3368), + make_floatx80_init(0x3FFE, 0xAA59233CCCA4BD49), + make_floatx80_init(0x3FFE, 0x828CBFBEB9A020A3), + make_floatx80_init(0x3FFE, 0xAC656DAE6BCC4985), + make_floatx80_init(0x3FFE, 0x81848DA8FAF0D277), + make_floatx80_init(0x3FFE, 0xAE6D8EE360BB2468), + make_floatx80_init(0x3FFE, 0x8080808080808081), + make_floatx80_init(0x3FFE, 0xB07197A23C46C654) +}; + +static const floatx80 exp_tbl[64] = { + make_floatx80_init(0x3FFF, 0x8000000000000000), + make_floatx80_init(0x3FFF, 0x8164D1F3BC030774), + make_floatx80_init(0x3FFF, 0x82CD8698AC2BA1D8), + make_floatx80_init(0x3FFF, 0x843A28C3ACDE4048), + make_floatx80_init(0x3FFF, 0x85AAC367CC487B14), + make_floatx80_init(0x3FFF, 0x871F61969E8D1010), + make_floatx80_init(0x3FFF, 0x88980E8092DA8528), + make_floatx80_init(0x3FFF, 0x8A14D575496EFD9C), + make_floatx80_init(0x3FFF, 0x8B95C1E3EA8BD6E8), + make_floatx80_init(0x3FFF, 0x8D1ADF5B7E5BA9E4), + make_floatx80_init(0x3FFF, 0x8EA4398B45CD53C0), + make_floatx80_init(0x3FFF, 0x9031DC431466B1DC), + make_floatx80_init(0x3FFF, 0x91C3D373AB11C338), + make_floatx80_init(0x3FFF, 0x935A2B2F13E6E92C), + make_floatx80_init(0x3FFF, 0x94F4EFA8FEF70960), + make_floatx80_init(0x3FFF, 0x96942D3720185A00), + make_floatx80_init(0x3FFF, 0x9837F0518DB8A970), + make_floatx80_init(0x3FFF, 0x99E0459320B7FA64), + make_floatx80_init(0x3FFF, 0x9B8D39B9D54E5538), + make_floatx80_init(0x3FFF, 0x9D3ED9A72CFFB750), + make_floatx80_init(0x3FFF, 0x9EF5326091A111AC), + make_floatx80_init(0x3FFF, 0xA0B0510FB9714FC4), + make_floatx80_init(0x3FFF, 0xA27043030C496818), + make_floatx80_init(0x3FFF, 0xA43515AE09E680A0), + make_floatx80_init(0x3FFF, 0xA5FED6A9B15138EC), + make_floatx80_init(0x3FFF, 0xA7CD93B4E9653568), + make_floatx80_init(0x3FFF, 0xA9A15AB4EA7C0EF8), + make_floatx80_init(0x3FFF, 0xAB7A39B5A93ED338), + make_floatx80_init(0x3FFF, 0xAD583EEA42A14AC8), + make_floatx80_init(0x3FFF, 0xAF3B78AD690A4374), + make_floatx80_init(0x3FFF, 0xB123F581D2AC2590), + make_floatx80_init(0x3FFF, 0xB311C412A9112488), + make_floatx80_init(0x3FFF, 0xB504F333F9DE6484), + make_floatx80_init(0x3FFF, 0xB6FD91E328D17790), + make_floatx80_init(0x3FFF, 0xB8FBAF4762FB9EE8), + make_floatx80_init(0x3FFF, 0xBAFF5AB2133E45FC), + make_floatx80_init(0x3FFF, 0xBD08A39F580C36C0), + make_floatx80_init(0x3FFF, 0xBF1799B67A731084), + make_floatx80_init(0x3FFF, 0xC12C4CCA66709458), + make_floatx80_init(0x3FFF, 0xC346CCDA24976408), + make_floatx80_init(0x3FFF, 0xC5672A115506DADC), + make_floatx80_init(0x3FFF, 0xC78D74C8ABB9B15C), + make_floatx80_init(0x3FFF, 0xC9B9BD866E2F27A4), + make_floatx80_init(0x3FFF, 0xCBEC14FEF2727C5C), + make_floatx80_init(0x3FFF, 0xCE248C151F8480E4), + make_floatx80_init(0x3FFF, 0xD06333DAEF2B2594), + make_floatx80_init(0x3FFF, 0xD2A81D91F12AE45C), + make_floatx80_init(0x3FFF, 0xD4F35AABCFEDFA20), + make_floatx80_init(0x3FFF, 0xD744FCCAD69D6AF4), + make_floatx80_init(0x3FFF, 0xD99D15C278AFD7B4), + make_floatx80_init(0x3FFF, 0xDBFBB797DAF23754), + make_floatx80_init(0x3FFF, 0xDE60F4825E0E9124), + make_floatx80_init(0x3FFF, 0xE0CCDEEC2A94E110), + make_floatx80_init(0x3FFF, 0xE33F8972BE8A5A50), + make_floatx80_init(0x3FFF, 0xE5B906E77C8348A8), + make_floatx80_init(0x3FFF, 0xE8396A503C4BDC68), + make_floatx80_init(0x3FFF, 0xEAC0C6E7DD243930), + make_floatx80_init(0x3FFF, 0xED4F301ED9942B84), + make_floatx80_init(0x3FFF, 0xEFE4B99BDCDAF5CC), + make_floatx80_init(0x3FFF, 0xF281773C59FFB138), + make_floatx80_init(0x3FFF, 0xF5257D152486CC2C), + make_floatx80_init(0x3FFF, 0xF7D0DF730AD13BB8), + make_floatx80_init(0x3FFF, 0xFA83B2DB722A033C), + make_floatx80_init(0x3FFF, 0xFD3E0C0CF486C174) +}; + +static const float32 exp_tbl2[64] = { + const_float32(0x00000000), + const_float32(0x9F841A9B), + const_float32(0x9FC1D5B9), + const_float32(0xA0728369), + const_float32(0x1FC5C95C), + const_float32(0x1EE85C9F), + const_float32(0x9FA20729), + const_float32(0xA07BF9AF), + const_float32(0xA0020DCF), + const_float32(0x205A63DA), + const_float32(0x1EB70051), + const_float32(0x1F6EB029), + const_float32(0xA0781494), + const_float32(0x9EB319B0), + const_float32(0x2017457D), + const_float32(0x1F11D537), + const_float32(0x9FB952DD), + const_float32(0x1FE43087), + const_float32(0x1FA2A818), + const_float32(0x1FDE494D), + const_float32(0x20504890), + const_float32(0xA073691C), + const_float32(0x1F9B7A05), + const_float32(0xA0797126), + const_float32(0xA071A140), + const_float32(0x204F62DA), + const_float32(0x1F283C4A), + const_float32(0x9F9A7FDC), + const_float32(0xA05B3FAC), + const_float32(0x1FDF2610), + const_float32(0x9F705F90), + const_float32(0x201F678A), + const_float32(0x1F32FB13), + const_float32(0x20038B30), + const_float32(0x200DC3CC), + const_float32(0x9F8B2AE6), + const_float32(0xA02BBF70), + const_float32(0xA00BF518), + const_float32(0xA041DD41), + const_float32(0x9FDF137B), + const_float32(0x201F1568), + const_float32(0x1FC13A2E), + const_float32(0xA03F8F03), + const_float32(0x1FF4907D), + const_float32(0x9E6E53E4), + const_float32(0x1FD6D45C), + const_float32(0xA076EDB9), + const_float32(0x9FA6DE21), + const_float32(0x1EE69A2F), + const_float32(0x207F439F), + const_float32(0x201EC207), + const_float32(0x9E8BE175), + const_float32(0x20032C4B), + const_float32(0x2004DFF5), + const_float32(0x1E72F47A), + const_float32(0x1F722F22), + const_float32(0xA017E945), + const_float32(0x1F401A5B), + const_float32(0x9FB9A9E3), + const_float32(0x20744C05), + const_float32(0x1F773A19), + const_float32(0x1FFE90D5), + const_float32(0xA041ED22), + const_float32(0x1F853F3A), +}; + +static const floatx80 exp2_tbl[64] = { + make_floatx80_init(0x3FFF, 0x8000000000000000), + make_floatx80_init(0x3FFF, 0x8164D1F3BC030773), + make_floatx80_init(0x3FFF, 0x82CD8698AC2BA1D7), + make_floatx80_init(0x3FFF, 0x843A28C3ACDE4046), + make_floatx80_init(0x3FFF, 0x85AAC367CC487B15), + make_floatx80_init(0x3FFF, 0x871F61969E8D1010), + make_floatx80_init(0x3FFF, 0x88980E8092DA8527), + make_floatx80_init(0x3FFF, 0x8A14D575496EFD9A), + make_floatx80_init(0x3FFF, 0x8B95C1E3EA8BD6E7), + make_floatx80_init(0x3FFF, 0x8D1ADF5B7E5BA9E6), + make_floatx80_init(0x3FFF, 0x8EA4398B45CD53C0), + make_floatx80_init(0x3FFF, 0x9031DC431466B1DC), + make_floatx80_init(0x3FFF, 0x91C3D373AB11C336), + make_floatx80_init(0x3FFF, 0x935A2B2F13E6E92C), + make_floatx80_init(0x3FFF, 0x94F4EFA8FEF70961), + make_floatx80_init(0x3FFF, 0x96942D3720185A00), + make_floatx80_init(0x3FFF, 0x9837F0518DB8A96F), + make_floatx80_init(0x3FFF, 0x99E0459320B7FA65), + make_floatx80_init(0x3FFF, 0x9B8D39B9D54E5539), + make_floatx80_init(0x3FFF, 0x9D3ED9A72CFFB751), + make_floatx80_init(0x3FFF, 0x9EF5326091A111AE), + make_floatx80_init(0x3FFF, 0xA0B0510FB9714FC2), + make_floatx80_init(0x3FFF, 0xA27043030C496819), + make_floatx80_init(0x3FFF, 0xA43515AE09E6809E), + make_floatx80_init(0x3FFF, 0xA5FED6A9B15138EA), + make_floatx80_init(0x3FFF, 0xA7CD93B4E965356A), + make_floatx80_init(0x3FFF, 0xA9A15AB4EA7C0EF8), + make_floatx80_init(0x3FFF, 0xAB7A39B5A93ED337), + make_floatx80_init(0x3FFF, 0xAD583EEA42A14AC6), + make_floatx80_init(0x3FFF, 0xAF3B78AD690A4375), + make_floatx80_init(0x3FFF, 0xB123F581D2AC2590), + make_floatx80_init(0x3FFF, 0xB311C412A9112489), + make_floatx80_init(0x3FFF, 0xB504F333F9DE6484), + make_floatx80_init(0x3FFF, 0xB6FD91E328D17791), + make_floatx80_init(0x3FFF, 0xB8FBAF4762FB9EE9), + make_floatx80_init(0x3FFF, 0xBAFF5AB2133E45FB), + make_floatx80_init(0x3FFF, 0xBD08A39F580C36BF), + make_floatx80_init(0x3FFF, 0xBF1799B67A731083), + make_floatx80_init(0x3FFF, 0xC12C4CCA66709456), + make_floatx80_init(0x3FFF, 0xC346CCDA24976407), + make_floatx80_init(0x3FFF, 0xC5672A115506DADD), + make_floatx80_init(0x3FFF, 0xC78D74C8ABB9B15D), + make_floatx80_init(0x3FFF, 0xC9B9BD866E2F27A3), + make_floatx80_init(0x3FFF, 0xCBEC14FEF2727C5D), + make_floatx80_init(0x3FFF, 0xCE248C151F8480E4), + make_floatx80_init(0x3FFF, 0xD06333DAEF2B2595), + make_floatx80_init(0x3FFF, 0xD2A81D91F12AE45A), + make_floatx80_init(0x3FFF, 0xD4F35AABCFEDFA1F), + make_floatx80_init(0x3FFF, 0xD744FCCAD69D6AF4), + make_floatx80_init(0x3FFF, 0xD99D15C278AFD7B6), + make_floatx80_init(0x3FFF, 0xDBFBB797DAF23755), + make_floatx80_init(0x3FFF, 0xDE60F4825E0E9124), + make_floatx80_init(0x3FFF, 0xE0CCDEEC2A94E111), + make_floatx80_init(0x3FFF, 0xE33F8972BE8A5A51), + make_floatx80_init(0x3FFF, 0xE5B906E77C8348A8), + make_floatx80_init(0x3FFF, 0xE8396A503C4BDC68), + make_floatx80_init(0x3FFF, 0xEAC0C6E7DD24392F), + make_floatx80_init(0x3FFF, 0xED4F301ED9942B84), + make_floatx80_init(0x3FFF, 0xEFE4B99BDCDAF5CB), + make_floatx80_init(0x3FFF, 0xF281773C59FFB13A), + make_floatx80_init(0x3FFF, 0xF5257D152486CC2C), + make_floatx80_init(0x3FFF, 0xF7D0DF730AD13BB9), + make_floatx80_init(0x3FFF, 0xFA83B2DB722A033A), + make_floatx80_init(0x3FFF, 0xFD3E0C0CF486C175) +}; + +static const uint32_t exp2_tbl2[64] = { + 0x3F738000, 0x3FBEF7CA, 0x3FBDF8A9, 0x3FBCD7C9, + 0xBFBDE8DA, 0x3FBDE85C, 0x3FBEBBF1, 0x3FBB80CA, + 0xBFBA8373, 0xBFBE9670, 0x3FBDB700, 0x3FBEEEB0, + 0x3FBBFD6D, 0xBFBDB319, 0x3FBDBA2B, 0x3FBE91D5, + 0x3FBE8D5A, 0xBFBCDE7B, 0xBFBEBAAF, 0xBFBD86DA, + 0xBFBEBEDD, 0x3FBCC96E, 0xBFBEC90B, 0x3FBBD1DB, + 0x3FBCE5EB, 0xBFBEC274, 0x3FBEA83C, 0x3FBECB00, + 0x3FBE9301, 0xBFBD8367, 0xBFBEF05F, 0x3FBDFB3C, + 0x3FBEB2FB, 0x3FBAE2CB, 0x3FBCDC3C, 0x3FBEE9AA, + 0xBFBEAEFD, 0xBFBCBF51, 0x3FBEF88A, 0x3FBD83B2, + 0x3FBDF8AB, 0xBFBDFB17, 0xBFBEFE3C, 0xBFBBB6F8, + 0xBFBCEE53, 0xBFBDA4AE, 0x3FBC9124, 0x3FBEB243, + 0x3FBDE69A, 0xBFB8BC61, 0x3FBDF610, 0xBFBD8BE1, + 0x3FBACB12, 0x3FBB9BFE, 0x3FBCF2F4, 0x3FBEF22F, + 0xBFBDBF4A, 0x3FBEC01A, 0x3FBE8CAC, 0xBFBCBB3F, + 0x3FBEF73A, 0xBFB8B795, 0x3FBEF84B, 0xBFBEF581 +}; + +static const floatx80 pi_tbl[65] = { + make_floatx80_init(0xC004, 0xC90FDAA22168C235), + make_floatx80_init(0xC004, 0xC2C75BCD105D7C23), + make_floatx80_init(0xC004, 0xBC7EDCF7FF523611), + make_floatx80_init(0xC004, 0xB6365E22EE46F000), + make_floatx80_init(0xC004, 0xAFEDDF4DDD3BA9EE), + make_floatx80_init(0xC004, 0xA9A56078CC3063DD), + make_floatx80_init(0xC004, 0xA35CE1A3BB251DCB), + make_floatx80_init(0xC004, 0x9D1462CEAA19D7B9), + make_floatx80_init(0xC004, 0x96CBE3F9990E91A8), + make_floatx80_init(0xC004, 0x9083652488034B96), + make_floatx80_init(0xC004, 0x8A3AE64F76F80584), + make_floatx80_init(0xC004, 0x83F2677A65ECBF73), + make_floatx80_init(0xC003, 0xFB53D14AA9C2F2C2), + make_floatx80_init(0xC003, 0xEEC2D3A087AC669F), + make_floatx80_init(0xC003, 0xE231D5F66595DA7B), + make_floatx80_init(0xC003, 0xD5A0D84C437F4E58), + make_floatx80_init(0xC003, 0xC90FDAA22168C235), + make_floatx80_init(0xC003, 0xBC7EDCF7FF523611), + make_floatx80_init(0xC003, 0xAFEDDF4DDD3BA9EE), + make_floatx80_init(0xC003, 0xA35CE1A3BB251DCB), + make_floatx80_init(0xC003, 0x96CBE3F9990E91A8), + make_floatx80_init(0xC003, 0x8A3AE64F76F80584), + make_floatx80_init(0xC002, 0xFB53D14AA9C2F2C2), + make_floatx80_init(0xC002, 0xE231D5F66595DA7B), + make_floatx80_init(0xC002, 0xC90FDAA22168C235), + make_floatx80_init(0xC002, 0xAFEDDF4DDD3BA9EE), + make_floatx80_init(0xC002, 0x96CBE3F9990E91A8), + make_floatx80_init(0xC001, 0xFB53D14AA9C2F2C2), + make_floatx80_init(0xC001, 0xC90FDAA22168C235), + make_floatx80_init(0xC001, 0x96CBE3F9990E91A8), + make_floatx80_init(0xC000, 0xC90FDAA22168C235), + make_floatx80_init(0xBFFF, 0xC90FDAA22168C235), + make_floatx80_init(0x0000, 0x0000000000000000), + make_floatx80_init(0x3FFF, 0xC90FDAA22168C235), + make_floatx80_init(0x4000, 0xC90FDAA22168C235), + make_floatx80_init(0x4001, 0x96CBE3F9990E91A8), + make_floatx80_init(0x4001, 0xC90FDAA22168C235), + make_floatx80_init(0x4001, 0xFB53D14AA9C2F2C2), + make_floatx80_init(0x4002, 0x96CBE3F9990E91A8), + make_floatx80_init(0x4002, 0xAFEDDF4DDD3BA9EE), + make_floatx80_init(0x4002, 0xC90FDAA22168C235), + make_floatx80_init(0x4002, 0xE231D5F66595DA7B), + make_floatx80_init(0x4002, 0xFB53D14AA9C2F2C2), + make_floatx80_init(0x4003, 0x8A3AE64F76F80584), + make_floatx80_init(0x4003, 0x96CBE3F9990E91A8), + make_floatx80_init(0x4003, 0xA35CE1A3BB251DCB), + make_floatx80_init(0x4003, 0xAFEDDF4DDD3BA9EE), + make_floatx80_init(0x4003, 0xBC7EDCF7FF523611), + make_floatx80_init(0x4003, 0xC90FDAA22168C235), + make_floatx80_init(0x4003, 0xD5A0D84C437F4E58), + make_floatx80_init(0x4003, 0xE231D5F66595DA7B), + make_floatx80_init(0x4003, 0xEEC2D3A087AC669F), + make_floatx80_init(0x4003, 0xFB53D14AA9C2F2C2), + make_floatx80_init(0x4004, 0x83F2677A65ECBF73), + make_floatx80_init(0x4004, 0x8A3AE64F76F80584), + make_floatx80_init(0x4004, 0x9083652488034B96), + make_floatx80_init(0x4004, 0x96CBE3F9990E91A8), + make_floatx80_init(0x4004, 0x9D1462CEAA19D7B9), + make_floatx80_init(0x4004, 0xA35CE1A3BB251DCB), + make_floatx80_init(0x4004, 0xA9A56078CC3063DD), + make_floatx80_init(0x4004, 0xAFEDDF4DDD3BA9EE), + make_floatx80_init(0x4004, 0xB6365E22EE46F000), + make_floatx80_init(0x4004, 0xBC7EDCF7FF523611), + make_floatx80_init(0x4004, 0xC2C75BCD105D7C23), + make_floatx80_init(0x4004, 0xC90FDAA22168C235) +}; + +static const float32 pi_tbl2[65] = { + const_float32(0x21800000), + const_float32(0xA0D00000), + const_float32(0xA1E80000), + const_float32(0x21480000), + const_float32(0xA1200000), + const_float32(0x21FC0000), + const_float32(0x21100000), + const_float32(0xA1580000), + const_float32(0x21E00000), + const_float32(0x20B00000), + const_float32(0xA1880000), + const_float32(0x21C40000), + const_float32(0x20000000), + const_float32(0x21380000), + const_float32(0xA1300000), + const_float32(0x9FC00000), + const_float32(0x21000000), + const_float32(0xA1680000), + const_float32(0xA0A00000), + const_float32(0x20900000), + const_float32(0x21600000), + const_float32(0xA1080000), + const_float32(0x1F800000), + const_float32(0xA0B00000), + const_float32(0x20800000), + const_float32(0xA0200000), + const_float32(0x20E00000), + const_float32(0x1F000000), + const_float32(0x20000000), + const_float32(0x20600000), + const_float32(0x1F800000), + const_float32(0x1F000000), + const_float32(0x00000000), + const_float32(0x9F000000), + const_float32(0x9F800000), + const_float32(0xA0600000), + const_float32(0xA0000000), + const_float32(0x9F000000), + const_float32(0xA0E00000), + const_float32(0x20200000), + const_float32(0xA0800000), + const_float32(0x20B00000), + const_float32(0x9F800000), + const_float32(0x21080000), + const_float32(0xA1600000), + const_float32(0xA0900000), + const_float32(0x20A00000), + const_float32(0x21680000), + const_float32(0xA1000000), + const_float32(0x1FC00000), + const_float32(0x21300000), + const_float32(0xA1380000), + const_float32(0xA0000000), + const_float32(0xA1C40000), + const_float32(0x21880000), + const_float32(0xA0B00000), + const_float32(0xA1E00000), + const_float32(0x21580000), + const_float32(0xA1100000), + const_float32(0xA1FC0000), + const_float32(0x21200000), + const_float32(0xA1480000), + const_float32(0x21E80000), + const_float32(0x20D00000), + const_float32(0xA1800000), +}; + +static const floatx80 atan_tbl[128] = { + make_floatx80_init(0x3FFB, 0x83D152C5060B7A51), + make_floatx80_init(0x3FFB, 0x8BC8544565498B8B), + make_floatx80_init(0x3FFB, 0x93BE406017626B0D), + make_floatx80_init(0x3FFB, 0x9BB3078D35AEC202), + make_floatx80_init(0x3FFB, 0xA3A69A525DDCE7DE), + make_floatx80_init(0x3FFB, 0xAB98E94362765619), + make_floatx80_init(0x3FFB, 0xB389E502F9C59862), + make_floatx80_init(0x3FFB, 0xBB797E436B09E6FB), + make_floatx80_init(0x3FFB, 0xC367A5C739E5F446), + make_floatx80_init(0x3FFB, 0xCB544C61CFF7D5C6), + make_floatx80_init(0x3FFB, 0xD33F62F82488533E), + make_floatx80_init(0x3FFB, 0xDB28DA8162404C77), + make_floatx80_init(0x3FFB, 0xE310A4078AD34F18), + make_floatx80_init(0x3FFB, 0xEAF6B0A8188EE1EB), + make_floatx80_init(0x3FFB, 0xF2DAF1949DBE79D5), + make_floatx80_init(0x3FFB, 0xFABD581361D47E3E), + make_floatx80_init(0x3FFC, 0x8346AC210959ECC4), + make_floatx80_init(0x3FFC, 0x8B232A08304282D8), + make_floatx80_init(0x3FFC, 0x92FB70B8D29AE2F9), + make_floatx80_init(0x3FFC, 0x9ACF476F5CCD1CB4), + make_floatx80_init(0x3FFC, 0xA29E76304954F23F), + make_floatx80_init(0x3FFC, 0xAA68C5D08AB85230), + make_floatx80_init(0x3FFC, 0xB22DFFFD9D539F83), + make_floatx80_init(0x3FFC, 0xB9EDEF453E900EA5), + make_floatx80_init(0x3FFC, 0xC1A85F1CC75E3EA5), + make_floatx80_init(0x3FFC, 0xC95D1BE828138DE6), + make_floatx80_init(0x3FFC, 0xD10BF300840D2DE4), + make_floatx80_init(0x3FFC, 0xD8B4B2BA6BC05E7A), + make_floatx80_init(0x3FFC, 0xE0572A6BB42335F6), + make_floatx80_init(0x3FFC, 0xE7F32A70EA9CAA8F), + make_floatx80_init(0x3FFC, 0xEF88843264ECEFAA), + make_floatx80_init(0x3FFC, 0xF7170A28ECC06666), + make_floatx80_init(0x3FFD, 0x812FD288332DAD32), + make_floatx80_init(0x3FFD, 0x88A8D1B1218E4D64), + make_floatx80_init(0x3FFD, 0x9012AB3F23E4AEE8), + make_floatx80_init(0x3FFD, 0x976CC3D411E7F1B9), + make_floatx80_init(0x3FFD, 0x9EB689493889A227), + make_floatx80_init(0x3FFD, 0xA5EF72C34487361B), + make_floatx80_init(0x3FFD, 0xAD1700BAF07A7227), + make_floatx80_init(0x3FFD, 0xB42CBCFAFD37EFB7), + make_floatx80_init(0x3FFD, 0xBB303A940BA80F89), + make_floatx80_init(0x3FFD, 0xC22115C6FCAEBBAF), + make_floatx80_init(0x3FFD, 0xC8FEF3E686331221), + make_floatx80_init(0x3FFD, 0xCFC98330B4000C70), + make_floatx80_init(0x3FFD, 0xD6807AA1102C5BF9), + make_floatx80_init(0x3FFD, 0xDD2399BC31252AA3), + make_floatx80_init(0x3FFD, 0xE3B2A8556B8FC517), + make_floatx80_init(0x3FFD, 0xEA2D764F64315989), + make_floatx80_init(0x3FFD, 0xF3BF5BF8BAD1A21D), + make_floatx80_init(0x3FFE, 0x801CE39E0D205C9A), + make_floatx80_init(0x3FFE, 0x8630A2DADA1ED066), + make_floatx80_init(0x3FFE, 0x8C1AD445F3E09B8C), + make_floatx80_init(0x3FFE, 0x91DB8F1664F350E2), + make_floatx80_init(0x3FFE, 0x97731420365E538C), + make_floatx80_init(0x3FFE, 0x9CE1C8E6A0B8CDBA), + make_floatx80_init(0x3FFE, 0xA22832DBCADAAE09), + make_floatx80_init(0x3FFE, 0xA746F2DDB7602294), + make_floatx80_init(0x3FFE, 0xAC3EC0FB997DD6A2), + make_floatx80_init(0x3FFE, 0xB110688AEBDC6F6A), + make_floatx80_init(0x3FFE, 0xB5BCC49059ECC4B0), + make_floatx80_init(0x3FFE, 0xBA44BC7DD470782F), + make_floatx80_init(0x3FFE, 0xBEA94144FD049AAC), + make_floatx80_init(0x3FFE, 0xC2EB4ABB661628B6), + make_floatx80_init(0x3FFE, 0xC70BD54CE602EE14), + make_floatx80_init(0x3FFE, 0xCD000549ADEC7159), + make_floatx80_init(0x3FFE, 0xD48457D2D8EA4EA3), + make_floatx80_init(0x3FFE, 0xDB948DA712DECE3B), + make_floatx80_init(0x3FFE, 0xE23855F969E8096A), + make_floatx80_init(0x3FFE, 0xE8771129C4353259), + make_floatx80_init(0x3FFE, 0xEE57C16E0D379C0D), + make_floatx80_init(0x3FFE, 0xF3E10211A87C3779), + make_floatx80_init(0x3FFE, 0xF919039D758B8D41), + make_floatx80_init(0x3FFE, 0xFE058B8F64935FB3), + make_floatx80_init(0x3FFF, 0x8155FB497B685D04), + make_floatx80_init(0x3FFF, 0x83889E3549D108E1), + make_floatx80_init(0x3FFF, 0x859CFA76511D724B), + make_floatx80_init(0x3FFF, 0x87952ECFFF8131E7), + make_floatx80_init(0x3FFF, 0x89732FD19557641B), + make_floatx80_init(0x3FFF, 0x8B38CAD101932A35), + make_floatx80_init(0x3FFF, 0x8CE7A8D8301EE6B5), + make_floatx80_init(0x3FFF, 0x8F46A39E2EAE5281), + make_floatx80_init(0x3FFF, 0x922DA7D791888487), + make_floatx80_init(0x3FFF, 0x94D19FCBDEDF5241), + make_floatx80_init(0x3FFF, 0x973AB94419D2A08B), + make_floatx80_init(0x3FFF, 0x996FF00E08E10B96), + make_floatx80_init(0x3FFF, 0x9B773F9512321DA7), + make_floatx80_init(0x3FFF, 0x9D55CC320F935624), + make_floatx80_init(0x3FFF, 0x9F100575006CC571), + make_floatx80_init(0x3FFF, 0xA0A9C290D97CC06C), + make_floatx80_init(0x3FFF, 0xA22659EBEBC0630A), + make_floatx80_init(0x3FFF, 0xA388B4AFF6EF0EC9), + make_floatx80_init(0x3FFF, 0xA4D35F1061D292C4), + make_floatx80_init(0x3FFF, 0xA60895DCFBE3187E), + make_floatx80_init(0x3FFF, 0xA72A51DC7367BEAC), + make_floatx80_init(0x3FFF, 0xA83A51530956168F), + make_floatx80_init(0x3FFF, 0xA93A20077539546E), + make_floatx80_init(0x3FFF, 0xAA9E7245023B2605), + make_floatx80_init(0x3FFF, 0xAC4C84BA6FE4D58F), + make_floatx80_init(0x3FFF, 0xADCE4A4A606B9712), + make_floatx80_init(0x3FFF, 0xAF2A2DCD8D263C9C), + make_floatx80_init(0x3FFF, 0xB0656F81F22265C7), + make_floatx80_init(0x3FFF, 0xB18465150F71496A), + make_floatx80_init(0x3FFF, 0xB28AAA156F9ADA35), + make_floatx80_init(0x3FFF, 0xB37B44FF3766B895), + make_floatx80_init(0x3FFF, 0xB458C3DCE9630433), + make_floatx80_init(0x3FFF, 0xB525529D562246BD), + make_floatx80_init(0x3FFF, 0xB5E2CCA95F9D88CC), + make_floatx80_init(0x3FFF, 0xB692CADA7ACA1ADA), + make_floatx80_init(0x3FFF, 0xB736AEA7A6925838), + make_floatx80_init(0x3FFF, 0xB7CFAB287E9F7B36), + make_floatx80_init(0x3FFF, 0xB85ECC66CB219835), + make_floatx80_init(0x3FFF, 0xB8E4FD5A20A593DA), + make_floatx80_init(0x3FFF, 0xB99F41F64AFF9BB5), + make_floatx80_init(0x3FFF, 0xBA7F1E17842BBE7B), + make_floatx80_init(0x3FFF, 0xBB4712857637E17D), + make_floatx80_init(0x3FFF, 0xBBFABE8A4788DF6F), + make_floatx80_init(0x3FFF, 0xBC9D0FAD2B689D79), + make_floatx80_init(0x3FFF, 0xBD306A39471ECD86), + make_floatx80_init(0x3FFF, 0xBDB6C731856AF18A), + make_floatx80_init(0x3FFF, 0xBE31CAC502E80D70), + make_floatx80_init(0x3FFF, 0xBEA2D55CE33194E2), + make_floatx80_init(0x3FFF, 0xBF0B10B7C03128F0), + make_floatx80_init(0x3FFF, 0xBF6B7A18DACB778D), + make_floatx80_init(0x3FFF, 0xBFC4EA4663FA18F6), + make_floatx80_init(0x3FFF, 0xC0181BDE8B89A454), + make_floatx80_init(0x3FFF, 0xC065B066CFBF6439), + make_floatx80_init(0x3FFF, 0xC0AE345F56340AE6), + make_floatx80_init(0x3FFF, 0xC0F222919CB9E6A7) +}; +#endif diff --git a/target/m68k/translate.c b/target/m68k/translate.c index dbb24f8d84..cef6f663ad 100644 --- a/target/m68k/translate.c +++ b/target/m68k/translate.c @@ -5042,6 +5042,9 @@ DISAS_INSN(fpu) case 1: /* fint */ gen_helper_firound(cpu_env, cpu_dest, cpu_src); break; + case 2: /* fsinh */ + gen_helper_fsinh(cpu_env, cpu_dest, cpu_src); + break; case 3: /* fintrz */ gen_helper_fitrunc(cpu_env, cpu_dest, cpu_src); break; @@ -5054,6 +5057,45 @@ DISAS_INSN(fpu) case 0x45: /* fdsqrt */ gen_helper_fdsqrt(cpu_env, cpu_dest, cpu_src); break; + case 0x06: /* flognp1 */ + gen_helper_flognp1(cpu_env, cpu_dest, cpu_src); + break; + case 0x09: /* ftanh */ + gen_helper_ftanh(cpu_env, cpu_dest, cpu_src); + break; + case 0x0a: /* fatan */ + gen_helper_fatan(cpu_env, cpu_dest, cpu_src); + break; + case 0x0c: /* fasin */ + gen_helper_fasin(cpu_env, cpu_dest, cpu_src); + break; + case 0x0d: /* fatanh */ + gen_helper_fatanh(cpu_env, cpu_dest, cpu_src); + break; + case 0x0e: /* fsin */ + gen_helper_fsin(cpu_env, cpu_dest, cpu_src); + break; + case 0x0f: /* ftan */ + gen_helper_ftan(cpu_env, cpu_dest, cpu_src); + break; + case 0x10: /* fetox */ + gen_helper_fetox(cpu_env, cpu_dest, cpu_src); + break; + case 0x11: /* ftwotox */ + gen_helper_ftwotox(cpu_env, cpu_dest, cpu_src); + break; + case 0x12: /* ftentox */ + gen_helper_ftentox(cpu_env, cpu_dest, cpu_src); + break; + case 0x14: /* flogn */ + gen_helper_flogn(cpu_env, cpu_dest, cpu_src); + break; + case 0x15: /* flog10 */ + gen_helper_flog10(cpu_env, cpu_dest, cpu_src); + break; + case 0x16: /* flog2 */ + gen_helper_flog2(cpu_env, cpu_dest, cpu_src); + break; case 0x18: /* fabs */ gen_helper_fabs(cpu_env, cpu_dest, cpu_src); break; @@ -5063,6 +5105,9 @@ DISAS_INSN(fpu) case 0x5c: /* fdabs */ gen_helper_fdabs(cpu_env, cpu_dest, cpu_src); break; + case 0x19: /* fcosh */ + gen_helper_fcosh(cpu_env, cpu_dest, cpu_src); + break; case 0x1a: /* fneg */ gen_helper_fneg(cpu_env, cpu_dest, cpu_src); break; @@ -5072,6 +5117,12 @@ DISAS_INSN(fpu) case 0x5e: /* fdneg */ gen_helper_fdneg(cpu_env, cpu_dest, cpu_src); break; + case 0x1c: /* facos */ + gen_helper_facos(cpu_env, cpu_dest, cpu_src); + break; + case 0x1d: /* fcos */ + gen_helper_fcos(cpu_env, cpu_dest, cpu_src); + break; case 0x1e: /* fgetexp */ gen_helper_fgetexp(cpu_env, cpu_dest, cpu_src); break; @@ -5129,6 +5180,14 @@ DISAS_INSN(fpu) case 0x6c: /* fdsub */ gen_helper_fdsub(cpu_env, cpu_dest, cpu_src, cpu_dest); break; + case 0x30: case 0x31: case 0x32: + case 0x33: case 0x34: case 0x35: + case 0x36: case 0x37: { + TCGv_ptr cpu_dest2 = gen_fp_ptr(REG(ext, 0)); + gen_helper_fsincos(cpu_env, cpu_dest, cpu_dest2, cpu_src); + tcg_temp_free_ptr(cpu_dest2); + } + break; case 0x38: /* fcmp */ gen_helper_fcmp(cpu_env, cpu_src, cpu_dest); return; |