diff options
author | Laurent Vivier <laurent@vivier.eu> | 2018-03-12 21:27:22 +0100 |
---|---|---|
committer | Laurent Vivier <laurent@vivier.eu> | 2018-03-13 16:34:16 +0100 |
commit | 8c992abc892c90caf1d4dd5b4482cda052a280ba (patch) | |
tree | 127e83d9982c53b2c67e0c45cabf00463686eb5d | |
parent | 47446c9ce34b6685ffe20e829ff6c9aaefd3af0a (diff) |
target/m68k: implement fatan
Using a local m68k floatx80_atan()
[copied from previous:
Written by Andreas Grabher for Previous, NeXT Computer Emulator.]
Signed-off-by: Laurent Vivier <laurent@vivier.eu>
Message-Id: <20180312202728.23790-6-laurent@vivier.eu>
-rw-r--r-- | target/m68k/fpu_helper.c | 5 | ||||
-rw-r--r-- | target/m68k/helper.h | 1 | ||||
-rw-r--r-- | target/m68k/softfloat.c | 200 | ||||
-rw-r--r-- | target/m68k/softfloat.h | 1 | ||||
-rw-r--r-- | target/m68k/softfloat_fpsp_tables.h | 131 | ||||
-rw-r--r-- | target/m68k/translate.c | 3 |
6 files changed, 341 insertions, 0 deletions
diff --git a/target/m68k/fpu_helper.c b/target/m68k/fpu_helper.c index 36e34d42a8..47328490ee 100644 --- a/target/m68k/fpu_helper.c +++ b/target/m68k/fpu_helper.c @@ -618,3 +618,8 @@ void HELPER(fsincos)(CPUM68KState *env, FPReg *res0, FPReg *res1, FPReg *val) 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); +} diff --git a/target/m68k/helper.h b/target/m68k/helper.h index a168ffbaea..304569e997 100644 --- a/target/m68k/helper.h +++ b/target/m68k/helper.h @@ -79,6 +79,7 @@ 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(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 a3a12a0bcb..00ac9a1e0a 100644 --- a/target/m68k/softfloat.c +++ b/target/m68k/softfloat.c @@ -23,6 +23,9 @@ #include "fpu/softfloat-macros.h" #include "softfloat_fpsp_tables.h" +#define piby2_exp 0x3FFF +#define pi_sig LIT64(0xc90fdaa22168c235) + static floatx80 propagateFloatx80NaNOneArg(floatx80 a, float_status *status) { if (floatx80_is_signaling_nan(a, status)) { @@ -1967,3 +1970,200 @@ floatx80 floatx80_cos(floatx80 a, float_status *status) } } } + +/*---------------------------------------------------------------------------- + | 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; + } +} diff --git a/target/m68k/softfloat.h b/target/m68k/softfloat.h index 4fd5b2c609..eec45f3ffe 100644 --- a/target/m68k/softfloat.h +++ b/target/m68k/softfloat.h @@ -37,4 +37,5 @@ 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); #endif diff --git a/target/m68k/softfloat_fpsp_tables.h b/target/m68k/softfloat_fpsp_tables.h index a9c86a5af2..3f1419ee6e 100644 --- a/target/m68k/softfloat_fpsp_tables.h +++ b/target/m68k/softfloat_fpsp_tables.h @@ -507,4 +507,135 @@ static const float32 pi_tbl2[65] = { 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 a78edd8825..88015e7ed8 100644 --- a/target/m68k/translate.c +++ b/target/m68k/translate.c @@ -5057,6 +5057,9 @@ DISAS_INSN(fpu) case 0x06: /* flognp1 */ gen_helper_flognp1(cpu_env, cpu_dest, cpu_src); break; + case 0x0a: /* fatan */ + gen_helper_fatan(cpu_env, cpu_dest, cpu_src); + break; case 0x0e: /* fsin */ gen_helper_fsin(cpu_env, cpu_dest, cpu_src); break; |