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

Signed-off-by: Laurent Vivier <laurent@vivier.eu>
Message-Id: <20180312202728.23790-3-laurent@vivier.eu>
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vivier committed Mar 13, 2018
1 parent 2734018 commit 5add1ac
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Showing 5 changed files with 257 additions and 0 deletions.
5 changes: 5 additions & 0 deletions target/m68k/fpu_helper.c
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Expand Up @@ -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 change: 1 addition & 0 deletions target/m68k/helper.h
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Expand Up @@ -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)
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247 changes: 247 additions & 0 deletions target/m68k/softfloat.c
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Expand Up @@ -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 change: 1 addition & 0 deletions target/m68k/softfloat.h
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Expand Up @@ -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 changes: 3 additions & 0 deletions target/m68k/translate.c
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Expand Up @@ -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;
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