diff options
Diffstat (limited to 'target/m68k/softfloat.c')
-rw-r--r-- | target/m68k/softfloat.c | 247 |
1 files changed, 247 insertions, 0 deletions
diff --git a/target/m68k/softfloat.c b/target/m68k/softfloat.c index 488dbc522b..6fb9665336 100644 --- a/target/m68k/softfloat.c +++ b/target/m68k/softfloat.c @@ -1476,3 +1476,250 @@ floatx80 floatx80_tan(floatx80 a, float_status *status) } } } + +/*---------------------------------------------------------------------------- + | 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; + } + } +} |