diff options
Diffstat (limited to 'newlib/libm/machine/spu/headers/asinhf4.h')
| -rw-r--r-- | newlib/libm/machine/spu/headers/asinhf4.h | 36 |
1 files changed, 25 insertions, 11 deletions
diff --git a/newlib/libm/machine/spu/headers/asinhf4.h b/newlib/libm/machine/spu/headers/asinhf4.h index 6a8a3b5da..95feb0fe2 100644 --- a/newlib/libm/machine/spu/headers/asinhf4.h +++ b/newlib/libm/machine/spu/headers/asinhf4.h @@ -96,8 +96,8 @@ #define ASINH_MAC25 6.4472103118896484375000000000000000000000000000000000000000000000000000E-3 #define ASINH_MAC27 -5.7400376708419234664351851851851851851851851851851851851851851851851852E-3 #define ASINH_MAC29 5.1533096823199041958512931034482758620689655172413793103448275862068966E-3 -#if 0 #define ASINH_MAC31 -4.6601434869150961599042338709677419354838709677419354838709677419354839E-3 +#if 0 #define ASINH_MAC33 4.2409070936793630773370916193181818181818181818181818181818181818181818E-3 #define ASINH_MAC35 -3.8809645588376692363194056919642857142857142857142857142857142857142857E-3 #define ASINH_MAC37 3.5692053938259345454138678473395270270270270270270270270270270270270270E-3 @@ -107,34 +107,43 @@ #endif - static __inline vector float _asinhf4(vector float x) { vec_float4 sign_mask = spu_splats(-0.0f); vec_float4 onef = spu_splats(1.0f); - vec_float4 result, fresult, mresult;; + vec_uint4 oneu = spu_splats(1u); + vec_uint4 twou = spu_splats(2u); + vec_uint4 threeu = spu_splats(3u); + vec_float4 ln2 = spu_splats(6.931471805599453094172321E-1f); + vec_float4 largef = spu_splats(9.21e18f); + vec_float4 result, fresult, mresult; vec_float4 xabs, xsqu; /* Where we switch from maclaurin to formula */ - vec_float4 switch_approx = spu_splats(0.685f); + vec_float4 switch_approx = spu_splats(0.74f); + vec_float4 trunc_part2 = spu_splats(20.0f); + vec_uint4 truncadd; + vec_uint4 islarge; vec_uint4 use_form; - xabs = spu_andc(x, sign_mask); xsqu = spu_mul(x, x); + islarge = spu_cmpgt(xabs, largef); /* * Formula: * asinh = ln(|x| + sqrt(x^2 + 1)) */ - fresult = _sqrtf4(spu_madd(x, x, onef)); - fresult = spu_add(xabs, fresult); - fresult = _logf4(fresult); + vec_float4 logarg = spu_add(xabs, _sqrtf4(spu_madd(xabs, xabs, onef))); + logarg = spu_sel(logarg, xabs, islarge); + fresult = _logf4(logarg); + fresult = spu_sel(fresult, spu_add(fresult, ln2), islarge); /* * Maclaurin Series */ - mresult = spu_madd(xsqu, spu_splats((float)ASINH_MAC29), spu_splats((float)ASINH_MAC27)); + mresult = spu_madd(xsqu, spu_splats((float)ASINH_MAC31), spu_splats((float)ASINH_MAC29)); + mresult = spu_madd(xsqu, mresult, spu_splats((float)ASINH_MAC27)); mresult = spu_madd(xsqu, mresult, spu_splats((float)ASINH_MAC25)); mresult = spu_madd(xsqu, mresult, spu_splats((float)ASINH_MAC23)); mresult = spu_madd(xsqu, mresult, spu_splats((float)ASINH_MAC21)); @@ -150,13 +159,18 @@ static __inline vector float _asinhf4(vector float x) mresult = spu_madd(xsqu, mresult, spu_splats((float)ASINH_MAC01)); mresult = spu_mul(xabs, mresult); - /* * Choose between series and formula */ - use_form = spu_cmpgt(xabs, switch_approx); + use_form = spu_cmpgt(xabs, switch_approx); result = spu_sel(mresult, fresult, use_form); + /* + * Truncation correction on spu + */ + truncadd = spu_sel(oneu, threeu, use_form); + truncadd = spu_sel(truncadd, twou, spu_cmpgt(xabs, trunc_part2)); + result = (vec_float4)spu_add((vec_uint4)result, truncadd); /* Preserve sign - asinh is anti-symmetric */ result = spu_sel(result, x, (vec_uint4)sign_mask); |