Commit 5add1ac4 authored by Laurent Vivier's avatar Laurent Vivier
Browse files

target/m68k: implement fsin



Using a local m68k floatx80_sin()
[copied from previous:
Written by Andreas Grabher for Previous, NeXT Computer Emulator.]

Signed-off-by: default avatarLaurent Vivier <laurent@vivier.eu>
Message-Id: <20180312202728.23790-3-laurent@vivier.eu>
parent 27340180
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+5 −0
Original line number Diff line number Diff line
@@ -597,3 +597,8 @@ 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);
}
+1 −0
Original line number Diff line number Diff line
@@ -76,6 +76,7 @@ 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(mac_move, void, env, i32, i32)
DEF_HELPER_3(macmulf, i64, env, i32, i32)
+247 −0
Original line number Diff line number Diff line
@@ -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;
        }
    }
}
+1 −0
Original line number Diff line number Diff line
@@ -35,4 +35,5 @@ 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);
#endif
+3 −0
Original line number Diff line number Diff line
@@ -5057,6 +5057,9 @@ DISAS_INSN(fpu)
    case 0x06: /* flognp1 */
        gen_helper_flognp1(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;