target/m68k: implement fcos
Using a local m68k floatx80_cos() [copied from previous: Written by Andreas Grabher for Previous, NeXT Computer Emulator.] Signed-off-by: Laurent Vivier <laurent@vivier.eu> Message-Id: <20180312202728.23790-4-laurent@vivier.eu>
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Laurent Vivier
parent
5add1ac42f
commit
68d0ed3786
@ -602,3 +602,8 @@ void HELPER(fsin)(CPUM68KState *env, FPReg *res, FPReg *val)
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{
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res->d = floatx80_sin(val->d, &env->fp_status);
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}
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void HELPER(fcos)(CPUM68KState *env, FPReg *res, FPReg *val)
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{
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res->d = floatx80_cos(val->d, &env->fp_status);
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}
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@ -77,6 +77,7 @@ DEF_HELPER_3(ftwotox, void, env, fp, fp)
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DEF_HELPER_3(ftentox, void, env, fp, fp)
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DEF_HELPER_3(ftan, void, env, fp, fp)
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DEF_HELPER_3(fsin, void, env, fp, fp)
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DEF_HELPER_3(fcos, void, env, fp, fp)
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DEF_HELPER_3(mac_move, void, env, i32, i32)
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DEF_HELPER_3(macmulf, i64, env, i32, i32)
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@ -1723,3 +1723,247 @@ floatx80 floatx80_sin(floatx80 a, float_status *status)
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}
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}
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}
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/*----------------------------------------------------------------------------
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| Cosine
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*----------------------------------------------------------------------------*/
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floatx80 floatx80_cos(floatx80 a, float_status *status)
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{
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flag aSign, xSign;
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int32_t aExp, xExp;
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uint64_t aSig, xSig;
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int8_t user_rnd_mode, user_rnd_prec;
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int32_t compact, l, n, j;
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floatx80 fp0, fp1, fp2, fp3, fp4, fp5, x, invtwopi, twopi1, twopi2;
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float32 posneg1, twoto63;
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flag adjn, endflag;
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aSig = extractFloatx80Frac(a);
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aExp = extractFloatx80Exp(a);
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aSign = extractFloatx80Sign(a);
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if (aExp == 0x7FFF) {
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if ((uint64_t) (aSig << 1)) {
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return propagateFloatx80NaNOneArg(a, status);
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}
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float_raise(float_flag_invalid, status);
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return floatx80_default_nan(status);
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}
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if (aExp == 0 && aSig == 0) {
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return packFloatx80(0, one_exp, one_sig);
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}
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adjn = 1;
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user_rnd_mode = status->float_rounding_mode;
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user_rnd_prec = status->floatx80_rounding_precision;
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status->float_rounding_mode = float_round_nearest_even;
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status->floatx80_rounding_precision = 80;
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compact = floatx80_make_compact(aExp, aSig);
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fp0 = a;
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if (compact < 0x3FD78000 || compact > 0x4004BC7E) {
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/* 2^(-40) > |X| > 15 PI */
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if (compact > 0x3FFF8000) { /* |X| >= 15 PI */
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/* REDUCEX */
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fp1 = packFloatx80(0, 0, 0);
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if (compact == 0x7FFEFFFF) {
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twopi1 = packFloatx80(aSign ^ 1, 0x7FFE,
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LIT64(0xC90FDAA200000000));
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twopi2 = packFloatx80(aSign ^ 1, 0x7FDC,
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LIT64(0x85A308D300000000));
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fp0 = floatx80_add(fp0, twopi1, status);
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fp1 = fp0;
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fp0 = floatx80_add(fp0, twopi2, status);
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fp1 = floatx80_sub(fp1, fp0, status);
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fp1 = floatx80_add(fp1, twopi2, status);
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}
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loop:
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xSign = extractFloatx80Sign(fp0);
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xExp = extractFloatx80Exp(fp0);
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xExp -= 0x3FFF;
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if (xExp <= 28) {
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l = 0;
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endflag = 1;
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} else {
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l = xExp - 27;
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endflag = 0;
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}
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invtwopi = packFloatx80(0, 0x3FFE - l,
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LIT64(0xA2F9836E4E44152A)); /* INVTWOPI */
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twopi1 = packFloatx80(0, 0x3FFF + l, LIT64(0xC90FDAA200000000));
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twopi2 = packFloatx80(0, 0x3FDD + l, LIT64(0x85A308D300000000));
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/* SIGN(INARG)*2^63 IN SGL */
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twoto63 = packFloat32(xSign, 0xBE, 0);
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fp2 = floatx80_mul(fp0, invtwopi, status);
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fp2 = floatx80_add(fp2, float32_to_floatx80(twoto63, status),
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status); /* THE FRACT PART OF FP2 IS ROUNDED */
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fp2 = floatx80_sub(fp2, float32_to_floatx80(twoto63, status),
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status); /* FP2 is N */
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fp4 = floatx80_mul(twopi1, fp2, status); /* W = N*P1 */
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fp5 = floatx80_mul(twopi2, fp2, status); /* w = N*P2 */
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fp3 = floatx80_add(fp4, fp5, status); /* FP3 is P */
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fp4 = floatx80_sub(fp4, fp3, status); /* W-P */
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fp0 = floatx80_sub(fp0, fp3, status); /* FP0 is A := R - P */
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fp4 = floatx80_add(fp4, fp5, status); /* FP4 is p = (W-P)+w */
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fp3 = fp0; /* FP3 is A */
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fp1 = floatx80_sub(fp1, fp4, status); /* FP1 is a := r - p */
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fp0 = floatx80_add(fp0, fp1, status); /* FP0 is R := A+a */
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if (endflag > 0) {
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n = floatx80_to_int32(fp2, status);
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goto sincont;
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}
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fp3 = floatx80_sub(fp3, fp0, status); /* A-R */
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fp1 = floatx80_add(fp1, fp3, status); /* FP1 is r := (A-R)+a */
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goto loop;
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} else {
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/* SINSM */
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fp0 = float32_to_floatx80(make_float32(0x3F800000), status); /* 1 */
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status->float_rounding_mode = user_rnd_mode;
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status->floatx80_rounding_precision = user_rnd_prec;
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if (adjn) {
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/* COSTINY */
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a = floatx80_sub(fp0, float32_to_floatx80(
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make_float32(0x00800000), status),
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status);
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} else {
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/* SINTINY */
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a = floatx80_move(a, status);
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}
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float_raise(float_flag_inexact, status);
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return a;
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}
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} else {
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fp1 = floatx80_mul(fp0, float64_to_floatx80(
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make_float64(0x3FE45F306DC9C883), status),
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status); /* X*2/PI */
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n = floatx80_to_int32(fp1, status);
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j = 32 + n;
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fp0 = floatx80_sub(fp0, pi_tbl[j], status); /* X-Y1 */
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fp0 = floatx80_sub(fp0, float32_to_floatx80(pi_tbl2[j], status),
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status); /* FP0 IS R = (X-Y1)-Y2 */
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sincont:
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if ((n + adjn) & 1) {
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/* COSPOLY */
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fp0 = floatx80_mul(fp0, fp0, status); /* FP0 IS S */
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fp1 = floatx80_mul(fp0, fp0, status); /* FP1 IS T */
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fp2 = float64_to_floatx80(make_float64(0x3D2AC4D0D6011EE3),
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status); /* B8 */
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fp3 = float64_to_floatx80(make_float64(0xBDA9396F9F45AC19),
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status); /* B7 */
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xSign = extractFloatx80Sign(fp0); /* X IS S */
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xExp = extractFloatx80Exp(fp0);
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xSig = extractFloatx80Frac(fp0);
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if (((n + adjn) >> 1) & 1) {
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xSign ^= 1;
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posneg1 = make_float32(0xBF800000); /* -1 */
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} else {
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xSign ^= 0;
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posneg1 = make_float32(0x3F800000); /* 1 */
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} /* X IS NOW R'= SGN*R */
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fp2 = floatx80_mul(fp2, fp1, status); /* TB8 */
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fp3 = floatx80_mul(fp3, fp1, status); /* TB7 */
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fp2 = floatx80_add(fp2, float64_to_floatx80(
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make_float64(0x3E21EED90612C972), status),
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status); /* B6+TB8 */
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fp3 = floatx80_add(fp3, float64_to_floatx80(
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make_float64(0xBE927E4FB79D9FCF), status),
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status); /* B5+TB7 */
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fp2 = floatx80_mul(fp2, fp1, status); /* T(B6+TB8) */
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fp3 = floatx80_mul(fp3, fp1, status); /* T(B5+TB7) */
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fp2 = floatx80_add(fp2, float64_to_floatx80(
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make_float64(0x3EFA01A01A01D423), status),
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status); /* B4+T(B6+TB8) */
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fp4 = packFloatx80(1, 0x3FF5, LIT64(0xB60B60B60B61D438));
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fp3 = floatx80_add(fp3, fp4, status); /* B3+T(B5+TB7) */
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fp2 = floatx80_mul(fp2, fp1, status); /* T(B4+T(B6+TB8)) */
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fp1 = floatx80_mul(fp1, fp3, status); /* T(B3+T(B5+TB7)) */
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fp4 = packFloatx80(0, 0x3FFA, LIT64(0xAAAAAAAAAAAAAB5E));
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fp2 = floatx80_add(fp2, fp4, status); /* B2+T(B4+T(B6+TB8)) */
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fp1 = floatx80_add(fp1, float32_to_floatx80(
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make_float32(0xBF000000), status),
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status); /* B1+T(B3+T(B5+TB7)) */
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fp0 = floatx80_mul(fp0, fp2, status); /* S(B2+T(B4+T(B6+TB8))) */
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fp0 = floatx80_add(fp0, fp1, status);
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/* [B1+T(B3+T(B5+TB7))]+[S(B2+T(B4+T(B6+TB8)))] */
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x = packFloatx80(xSign, xExp, xSig);
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fp0 = floatx80_mul(fp0, x, status);
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status->float_rounding_mode = user_rnd_mode;
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status->floatx80_rounding_precision = user_rnd_prec;
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a = floatx80_add(fp0, float32_to_floatx80(posneg1, status), status);
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float_raise(float_flag_inexact, status);
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return a;
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} else {
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/* SINPOLY */
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xSign = extractFloatx80Sign(fp0); /* X IS R */
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xExp = extractFloatx80Exp(fp0);
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xSig = extractFloatx80Frac(fp0);
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xSign ^= ((n + adjn) >> 1) & 1; /* X IS NOW R'= SGN*R */
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fp0 = floatx80_mul(fp0, fp0, status); /* FP0 IS S */
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fp1 = floatx80_mul(fp0, fp0, status); /* FP1 IS T */
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fp3 = float64_to_floatx80(make_float64(0xBD6AAA77CCC994F5),
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status); /* A7 */
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fp2 = float64_to_floatx80(make_float64(0x3DE612097AAE8DA1),
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status); /* A6 */
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fp3 = floatx80_mul(fp3, fp1, status); /* T*A7 */
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fp2 = floatx80_mul(fp2, fp1, status); /* T*A6 */
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fp3 = floatx80_add(fp3, float64_to_floatx80(
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make_float64(0xBE5AE6452A118AE4), status),
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status); /* A5+T*A7 */
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fp2 = floatx80_add(fp2, float64_to_floatx80(
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make_float64(0x3EC71DE3A5341531), status),
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status); /* A4+T*A6 */
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fp3 = floatx80_mul(fp3, fp1, status); /* T(A5+TA7) */
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fp2 = floatx80_mul(fp2, fp1, status); /* T(A4+TA6) */
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fp3 = floatx80_add(fp3, float64_to_floatx80(
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make_float64(0xBF2A01A01A018B59), status),
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status); /* A3+T(A5+TA7) */
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fp4 = packFloatx80(0, 0x3FF8, LIT64(0x88888888888859AF));
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fp2 = floatx80_add(fp2, fp4, status); /* A2+T(A4+TA6) */
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fp1 = floatx80_mul(fp1, fp3, status); /* T(A3+T(A5+TA7)) */
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fp2 = floatx80_mul(fp2, fp0, status); /* S(A2+T(A4+TA6)) */
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fp4 = packFloatx80(1, 0x3FFC, LIT64(0xAAAAAAAAAAAAAA99));
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fp1 = floatx80_add(fp1, fp4, status); /* A1+T(A3+T(A5+TA7)) */
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fp1 = floatx80_add(fp1, fp2, status);
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/* [A1+T(A3+T(A5+TA7))]+[S(A2+T(A4+TA6))] */
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x = packFloatx80(xSign, xExp, xSig);
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fp0 = floatx80_mul(fp0, x, status); /* R'*S */
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fp0 = floatx80_mul(fp0, fp1, status); /* SIN(R')-R' */
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status->float_rounding_mode = user_rnd_mode;
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status->floatx80_rounding_precision = user_rnd_prec;
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a = floatx80_add(fp0, x, status);
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float_raise(float_flag_inexact, status);
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return a;
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}
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}
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}
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@ -36,4 +36,5 @@ floatx80 floatx80_twotox(floatx80 a, float_status *status);
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floatx80 floatx80_tentox(floatx80 a, float_status *status);
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floatx80 floatx80_tan(floatx80 a, float_status *status);
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floatx80 floatx80_sin(floatx80 a, float_status *status);
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floatx80 floatx80_cos(floatx80 a, float_status *status);
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#endif
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@ -5099,6 +5099,9 @@ DISAS_INSN(fpu)
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case 0x5e: /* fdneg */
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gen_helper_fdneg(cpu_env, cpu_dest, cpu_src);
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break;
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case 0x1d: /* fcos */
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gen_helper_fcos(cpu_env, cpu_dest, cpu_src);
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break;
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case 0x1e: /* fgetexp */
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gen_helper_fgetexp(cpu_env, cpu_dest, cpu_src);
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break;
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