Commit 40ad0873 authored by Laurent Vivier's avatar Laurent Vivier
Browse files

target/m68k: implement fetox



Using a local m68k floatx80_etox()
[copied from previous:
Written by Andreas Grabher for Previous, NeXT Computer Emulator.]

Signed-off-by: default avatarLaurent Vivier <laurent@vivier.eu>
Message-Id: <20180305203910.10391-7-laurent@vivier.eu>
parent 67b453ed
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+5 −0
Original line number Diff line number Diff line
@@ -577,3 +577,8 @@ 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);
}
+1 −0
Original line number Diff line number Diff line
@@ -72,6 +72,7 @@ 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(mac_move, void, env, i32, i32)
DEF_HELPER_3(macmulf, i64, env, i32, i32)
+183 −0
Original line number Diff line number Diff line
@@ -782,3 +782,186 @@ floatx80 floatx80_log2(floatx80 a, float_status *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;
    }
}
+1 −0
Original line number Diff line number Diff line
@@ -31,4 +31,5 @@ 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);
#endif
+134 −0
Original line number Diff line number Diff line
@@ -151,4 +151,138 @@ static const floatx80 log_tbl[128] = {
    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),
};
#endif
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