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target/m68k: implement ftan
Using a local m68k floatx80_tan() [copied from previous: Written by Andreas Grabher for Previous, NeXT Computer Emulator.] Signed-off-by: Laurent Vivier <laurent@vivier.eu> Message-Id: <20180312202728.23790-2-laurent@vivier.eu>
This commit is contained in:
Laurent Vivier
parent
59667bb167
commit
273401809c
@ -592,3 +592,8 @@ void HELPER(ftentox)(CPUM68KState *env, FPReg *res, FPReg *val)
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{
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res->d = floatx80_tentox(val->d, &env->fp_status);
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}
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void HELPER(ftan)(CPUM68KState *env, FPReg *res, FPReg *val)
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{
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res->d = floatx80_tan(val->d, &env->fp_status);
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}
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@ -75,6 +75,7 @@ DEF_HELPER_3(flog2, void, env, fp, fp)
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DEF_HELPER_3(fetox, void, env, fp, fp)
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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(mac_move, void, env, i32, i32)
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DEF_HELPER_3(macmulf, i64, env, i32, i32)
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@ -1266,3 +1266,213 @@ floatx80 floatx80_tentox(floatx80 a, float_status *status)
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return a;
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}
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}
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/*----------------------------------------------------------------------------
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| Tangent
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*----------------------------------------------------------------------------*/
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floatx80 floatx80_tan(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, invtwopi, twopi1, twopi2;
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float32 twoto63;
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flag 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(aSign, 0, 0);
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}
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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 tancont;
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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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status->float_rounding_mode = user_rnd_mode;
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status->floatx80_rounding_precision = user_rnd_prec;
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a = floatx80_move(a, 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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} 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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tancont:
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if (n & 1) {
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/* NODD */
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fp1 = fp0; /* R */
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fp0 = floatx80_mul(fp0, fp0, status); /* S = R*R */
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fp3 = float64_to_floatx80(make_float64(0x3EA0B759F50F8688),
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status); /* Q4 */
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fp2 = float64_to_floatx80(make_float64(0xBEF2BAA5A8924F04),
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status); /* P3 */
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fp3 = floatx80_mul(fp3, fp0, status); /* SQ4 */
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fp2 = floatx80_mul(fp2, fp0, status); /* SP3 */
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fp3 = floatx80_add(fp3, float64_to_floatx80(
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make_float64(0xBF346F59B39BA65F), status),
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status); /* Q3+SQ4 */
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fp4 = packFloatx80(0, 0x3FF6, LIT64(0xE073D3FC199C4A00));
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fp2 = floatx80_add(fp2, fp4, status); /* P2+SP3 */
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fp3 = floatx80_mul(fp3, fp0, status); /* S(Q3+SQ4) */
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fp2 = floatx80_mul(fp2, fp0, status); /* S(P2+SP3) */
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fp4 = packFloatx80(0, 0x3FF9, LIT64(0xD23CD68415D95FA1));
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fp3 = floatx80_add(fp3, fp4, status); /* Q2+S(Q3+SQ4) */
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fp4 = packFloatx80(1, 0x3FFC, LIT64(0x8895A6C5FB423BCA));
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fp2 = floatx80_add(fp2, fp4, status); /* P1+S(P2+SP3) */
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fp3 = floatx80_mul(fp3, fp0, status); /* S(Q2+S(Q3+SQ4)) */
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fp2 = floatx80_mul(fp2, fp0, status); /* S(P1+S(P2+SP3)) */
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fp4 = packFloatx80(1, 0x3FFD, LIT64(0xEEF57E0DA84BC8CE));
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fp3 = floatx80_add(fp3, fp4, status); /* Q1+S(Q2+S(Q3+SQ4)) */
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fp2 = floatx80_mul(fp2, fp1, status); /* RS(P1+S(P2+SP3)) */
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fp0 = floatx80_mul(fp0, fp3, status); /* S(Q1+S(Q2+S(Q3+SQ4))) */
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fp1 = floatx80_add(fp1, fp2, status); /* R+RS(P1+S(P2+SP3)) */
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fp0 = floatx80_add(fp0, float32_to_floatx80(
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make_float32(0x3F800000), status),
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status); /* 1+S(Q1+S(Q2+S(Q3+SQ4))) */
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xSign = extractFloatx80Sign(fp1);
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xExp = extractFloatx80Exp(fp1);
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xSig = extractFloatx80Frac(fp1);
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xSign ^= 1;
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fp1 = packFloatx80(xSign, xExp, xSig);
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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_div(fp0, fp1, 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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fp1 = floatx80_mul(fp0, fp0, status); /* S = R*R */
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fp3 = float64_to_floatx80(make_float64(0x3EA0B759F50F8688),
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status); /* Q4 */
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fp2 = float64_to_floatx80(make_float64(0xBEF2BAA5A8924F04),
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status); /* P3 */
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fp3 = floatx80_mul(fp3, fp1, status); /* SQ4 */
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fp2 = floatx80_mul(fp2, fp1, status); /* SP3 */
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fp3 = floatx80_add(fp3, float64_to_floatx80(
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make_float64(0xBF346F59B39BA65F), status),
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status); /* Q3+SQ4 */
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fp4 = packFloatx80(0, 0x3FF6, LIT64(0xE073D3FC199C4A00));
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fp2 = floatx80_add(fp2, fp4, status); /* P2+SP3 */
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fp3 = floatx80_mul(fp3, fp1, status); /* S(Q3+SQ4) */
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fp2 = floatx80_mul(fp2, fp1, status); /* S(P2+SP3) */
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fp4 = packFloatx80(0, 0x3FF9, LIT64(0xD23CD68415D95FA1));
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fp3 = floatx80_add(fp3, fp4, status); /* Q2+S(Q3+SQ4) */
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fp4 = packFloatx80(1, 0x3FFC, LIT64(0x8895A6C5FB423BCA));
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fp2 = floatx80_add(fp2, fp4, status); /* P1+S(P2+SP3) */
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fp3 = floatx80_mul(fp3, fp1, status); /* S(Q2+S(Q3+SQ4)) */
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fp2 = floatx80_mul(fp2, fp1, status); /* S(P1+S(P2+SP3)) */
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fp4 = packFloatx80(1, 0x3FFD, LIT64(0xEEF57E0DA84BC8CE));
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fp3 = floatx80_add(fp3, fp4, status); /* Q1+S(Q2+S(Q3+SQ4)) */
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fp2 = floatx80_mul(fp2, fp0, status); /* RS(P1+S(P2+SP3)) */
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fp1 = floatx80_mul(fp1, fp3, status); /* S(Q1+S(Q2+S(Q3+SQ4))) */
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fp0 = floatx80_add(fp0, fp2, status); /* R+RS(P1+S(P2+SP3)) */
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fp1 = floatx80_add(fp1, float32_to_floatx80(
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make_float32(0x3F800000), status),
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status); /* 1+S(Q1+S(Q2+S(Q3+SQ4))) */
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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_div(fp0, fp1, 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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@ -34,4 +34,5 @@ floatx80 floatx80_log2(floatx80 a, float_status *status);
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floatx80 floatx80_etox(floatx80 a, float_status *status);
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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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#endif
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@ -371,4 +371,140 @@ static const uint32_t exp2_tbl2[64] = {
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0xBFBDBF4A, 0x3FBEC01A, 0x3FBE8CAC, 0xBFBCBB3F,
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0x3FBEF73A, 0xBFB8B795, 0x3FBEF84B, 0xBFBEF581
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};
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static const floatx80 pi_tbl[65] = {
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make_floatx80_init(0xC004, 0xC90FDAA22168C235),
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make_floatx80_init(0xC004, 0xC2C75BCD105D7C23),
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make_floatx80_init(0xC004, 0xBC7EDCF7FF523611),
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make_floatx80_init(0xC004, 0xB6365E22EE46F000),
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make_floatx80_init(0xC004, 0xAFEDDF4DDD3BA9EE),
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make_floatx80_init(0xC004, 0xA9A56078CC3063DD),
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make_floatx80_init(0xC004, 0xA35CE1A3BB251DCB),
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make_floatx80_init(0xC004, 0x9D1462CEAA19D7B9),
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make_floatx80_init(0xC004, 0x96CBE3F9990E91A8),
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make_floatx80_init(0xC004, 0x9083652488034B96),
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make_floatx80_init(0xC004, 0x8A3AE64F76F80584),
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make_floatx80_init(0xC004, 0x83F2677A65ECBF73),
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make_floatx80_init(0xC003, 0xFB53D14AA9C2F2C2),
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make_floatx80_init(0xC003, 0xEEC2D3A087AC669F),
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make_floatx80_init(0xC003, 0xE231D5F66595DA7B),
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make_floatx80_init(0xC003, 0xD5A0D84C437F4E58),
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make_floatx80_init(0xC003, 0xC90FDAA22168C235),
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make_floatx80_init(0xC003, 0xBC7EDCF7FF523611),
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make_floatx80_init(0xC003, 0xAFEDDF4DDD3BA9EE),
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make_floatx80_init(0xC003, 0xA35CE1A3BB251DCB),
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make_floatx80_init(0xC003, 0x96CBE3F9990E91A8),
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make_floatx80_init(0xC003, 0x8A3AE64F76F80584),
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make_floatx80_init(0xC002, 0xFB53D14AA9C2F2C2),
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make_floatx80_init(0xC002, 0xE231D5F66595DA7B),
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make_floatx80_init(0xC002, 0xC90FDAA22168C235),
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make_floatx80_init(0xC002, 0xAFEDDF4DDD3BA9EE),
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make_floatx80_init(0xC002, 0x96CBE3F9990E91A8),
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make_floatx80_init(0xC001, 0xFB53D14AA9C2F2C2),
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make_floatx80_init(0xC001, 0xC90FDAA22168C235),
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make_floatx80_init(0xC001, 0x96CBE3F9990E91A8),
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make_floatx80_init(0xC000, 0xC90FDAA22168C235),
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make_floatx80_init(0xBFFF, 0xC90FDAA22168C235),
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make_floatx80_init(0x0000, 0x0000000000000000),
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make_floatx80_init(0x3FFF, 0xC90FDAA22168C235),
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make_floatx80_init(0x4000, 0xC90FDAA22168C235),
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make_floatx80_init(0x4001, 0x96CBE3F9990E91A8),
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make_floatx80_init(0x4001, 0xC90FDAA22168C235),
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make_floatx80_init(0x4001, 0xFB53D14AA9C2F2C2),
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make_floatx80_init(0x4002, 0x96CBE3F9990E91A8),
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make_floatx80_init(0x4002, 0xAFEDDF4DDD3BA9EE),
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make_floatx80_init(0x4002, 0xC90FDAA22168C235),
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make_floatx80_init(0x4002, 0xE231D5F66595DA7B),
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make_floatx80_init(0x4002, 0xFB53D14AA9C2F2C2),
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make_floatx80_init(0x4003, 0x8A3AE64F76F80584),
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make_floatx80_init(0x4003, 0x96CBE3F9990E91A8),
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make_floatx80_init(0x4003, 0xA35CE1A3BB251DCB),
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make_floatx80_init(0x4003, 0xAFEDDF4DDD3BA9EE),
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make_floatx80_init(0x4003, 0xBC7EDCF7FF523611),
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make_floatx80_init(0x4003, 0xC90FDAA22168C235),
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make_floatx80_init(0x4003, 0xD5A0D84C437F4E58),
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make_floatx80_init(0x4003, 0xE231D5F66595DA7B),
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make_floatx80_init(0x4003, 0xEEC2D3A087AC669F),
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make_floatx80_init(0x4003, 0xFB53D14AA9C2F2C2),
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make_floatx80_init(0x4004, 0x83F2677A65ECBF73),
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make_floatx80_init(0x4004, 0x8A3AE64F76F80584),
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make_floatx80_init(0x4004, 0x9083652488034B96),
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make_floatx80_init(0x4004, 0x96CBE3F9990E91A8),
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make_floatx80_init(0x4004, 0x9D1462CEAA19D7B9),
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make_floatx80_init(0x4004, 0xA35CE1A3BB251DCB),
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make_floatx80_init(0x4004, 0xA9A56078CC3063DD),
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make_floatx80_init(0x4004, 0xAFEDDF4DDD3BA9EE),
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make_floatx80_init(0x4004, 0xB6365E22EE46F000),
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make_floatx80_init(0x4004, 0xBC7EDCF7FF523611),
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make_floatx80_init(0x4004, 0xC2C75BCD105D7C23),
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make_floatx80_init(0x4004, 0xC90FDAA22168C235)
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};
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static const float32 pi_tbl2[65] = {
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const_float32(0x21800000),
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const_float32(0xA0D00000),
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const_float32(0xA1E80000),
|
||||
const_float32(0x21480000),
|
||||
const_float32(0xA1200000),
|
||||
const_float32(0x21FC0000),
|
||||
const_float32(0x21100000),
|
||||
const_float32(0xA1580000),
|
||||
const_float32(0x21E00000),
|
||||
const_float32(0x20B00000),
|
||||
const_float32(0xA1880000),
|
||||
const_float32(0x21C40000),
|
||||
const_float32(0x20000000),
|
||||
const_float32(0x21380000),
|
||||
const_float32(0xA1300000),
|
||||
const_float32(0x9FC00000),
|
||||
const_float32(0x21000000),
|
||||
const_float32(0xA1680000),
|
||||
const_float32(0xA0A00000),
|
||||
const_float32(0x20900000),
|
||||
const_float32(0x21600000),
|
||||
const_float32(0xA1080000),
|
||||
const_float32(0x1F800000),
|
||||
const_float32(0xA0B00000),
|
||||
const_float32(0x20800000),
|
||||
const_float32(0xA0200000),
|
||||
const_float32(0x20E00000),
|
||||
const_float32(0x1F000000),
|
||||
const_float32(0x20000000),
|
||||
const_float32(0x20600000),
|
||||
const_float32(0x1F800000),
|
||||
const_float32(0x1F000000),
|
||||
const_float32(0x00000000),
|
||||
const_float32(0x9F000000),
|
||||
const_float32(0x9F800000),
|
||||
const_float32(0xA0600000),
|
||||
const_float32(0xA0000000),
|
||||
const_float32(0x9F000000),
|
||||
const_float32(0xA0E00000),
|
||||
const_float32(0x20200000),
|
||||
const_float32(0xA0800000),
|
||||
const_float32(0x20B00000),
|
||||
const_float32(0x9F800000),
|
||||
const_float32(0x21080000),
|
||||
const_float32(0xA1600000),
|
||||
const_float32(0xA0900000),
|
||||
const_float32(0x20A00000),
|
||||
const_float32(0x21680000),
|
||||
const_float32(0xA1000000),
|
||||
const_float32(0x1FC00000),
|
||||
const_float32(0x21300000),
|
||||
const_float32(0xA1380000),
|
||||
const_float32(0xA0000000),
|
||||
const_float32(0xA1C40000),
|
||||
const_float32(0x21880000),
|
||||
const_float32(0xA0B00000),
|
||||
const_float32(0xA1E00000),
|
||||
const_float32(0x21580000),
|
||||
const_float32(0xA1100000),
|
||||
const_float32(0xA1FC0000),
|
||||
const_float32(0x21200000),
|
||||
const_float32(0xA1480000),
|
||||
const_float32(0x21E80000),
|
||||
const_float32(0x20D00000),
|
||||
const_float32(0xA1800000),
|
||||
};
|
||||
#endif
|
||||
|
||||
@ -5057,6 +5057,9 @@ DISAS_INSN(fpu)
|
||||
case 0x06: /* flognp1 */
|
||||
gen_helper_flognp1(cpu_env, cpu_dest, cpu_src);
|
||||
break;
|
||||
case 0x0f: /* ftan */
|
||||
gen_helper_ftan(cpu_env, cpu_dest, cpu_src);
|
||||
break;
|
||||
case 0x10: /* fetox */
|
||||
gen_helper_fetox(cpu_env, cpu_dest, cpu_src);
|
||||
break;
|
||||
|
||||
Loading…
Reference in New Issue
Block a user