diff options
Diffstat (limited to 'newlib/libm/machine/spu/headers/atanhd2.h')
| -rw-r--r-- | newlib/libm/machine/spu/headers/atanhd2.h | 79 |
1 files changed, 34 insertions, 45 deletions
diff --git a/newlib/libm/machine/spu/headers/atanhd2.h b/newlib/libm/machine/spu/headers/atanhd2.h index b1bc33ef9..ab167d956 100644 --- a/newlib/libm/machine/spu/headers/atanhd2.h +++ b/newlib/libm/machine/spu/headers/atanhd2.h @@ -72,7 +72,7 @@ * Special Cases: * - atanh(1) = Infinity * - atanh(-1) = -Infinity - * - atanh(x) for |x| > 1 = NaN + * - atanh(x) for |x| > 1 = Undefined * */ @@ -80,37 +80,27 @@ * Maclaurin Series Coefficients * for x near 0. */ -#define ATANH_MAC01 1.0000000000000000000000000000000000000000000000000000000000000000000000E0 -#define ATANH_MAC03 3.3333333333333333333333333333333333333333333333333333333333333333333333E-1 -#define ATANH_MAC05 2.0000000000000000000000000000000000000000000000000000000000000000000000E-1 -#define ATANH_MAC07 1.4285714285714285714285714285714285714285714285714285714285714285714286E-1 -#define ATANH_MAC09 1.1111111111111111111111111111111111111111111111111111111111111111111111E-1 -#define ATANH_MAC11 9.0909090909090909090909090909090909090909090909090909090909090909090909E-2 -#define ATANH_MAC13 7.6923076923076923076923076923076923076923076923076923076923076923076923E-2 +#define SMD_DP_ATANH_MAC01 1.000000000000000000000000000000E0 +#define SMD_DP_ATANH_MAC03 3.333333333333333333333333333333E-1 +#define SMD_DP_ATANH_MAC05 2.000000000000000000000000000000E-1 +#define SMD_DP_ATANH_MAC07 1.428571428571428571428571428571E-1 +#define SMD_DP_ATANH_MAC09 1.111111111111111111111111111111E-1 +#define SMD_DP_ATANH_MAC11 9.090909090909090909090909090909E-2 +#define SMD_DP_ATANH_MAC13 7.692307692307692307692307692308E-2 +#define SMD_DP_ATANH_MAC15 6.666666666666666666666666666667E-2 +#define SMD_DP_ATANH_MAC17 5.882352941176470588235294117647E-2 #if 0 -#define ATANH_MAC15 6.6666666666666666666666666666666666666666666666666666666666666666666667E-2 -#define ATANH_MAC17 5.8823529411764705882352941176470588235294117647058823529411764705882353E-2 -#define ATANH_MAC19 5.2631578947368421052631578947368421052631578947368421052631578947368421E-2 -#define ATANH_MAC21 4.7619047619047619047619047619047619047619047619047619047619047619047619E-2 -#define ATANH_MAC23 4.3478260869565217391304347826086956521739130434782608695652173913043478E-2 -#define ATANH_MAC25 4.0000000000000000000000000000000000000000000000000000000000000000000000E-2 -#define ATANH_MAC27 3.7037037037037037037037037037037037037037037037037037037037037037037037E-2 -#define ATANH_MAC29 3.4482758620689655172413793103448275862068965517241379310344827586206897E-2 -#define ATANH_MAC31 3.2258064516129032258064516129032258064516129032258064516129032258064516E-2 -#define ATANH_MAC33 3.0303030303030303030303030303030303030303030303030303030303030303030303E-2 -#define ATANH_MAC35 2.8571428571428571428571428571428571428571428571428571428571428571428571E-2 -#define ATANH_MAC37 2.7027027027027027027027027027027027027027027027027027027027027027027027E-2 -#define ATANH_MAC39 2.5641025641025641025641025641025641025641025641025641025641025641025641E-2 -#define ATANH_MAC41 2.4390243902439024390243902439024390243902439024390243902439024390243902E-2 -#define ATANH_MAC43 2.3255813953488372093023255813953488372093023255813953488372093023255814E-2 -#define ATANH_MAC45 2.2222222222222222222222222222222222222222222222222222222222222222222222E-2 -#define ATANH_MAC47 2.1276595744680851063829787234042553191489361702127659574468085106382979E-2 -#define ATANH_MAC49 2.0408163265306122448979591836734693877551020408163265306122448979591837E-2 -#define ATANH_MAC51 1.9607843137254901960784313725490196078431372549019607843137254901960784E-2 -#define ATANH_MAC53 1.8867924528301886792452830188679245283018867924528301886792452830188679E-2 -#define ATANH_MAC55 1.8181818181818181818181818181818181818181818181818181818181818181818182E-2 -#define ATANH_MAC57 1.7543859649122807017543859649122807017543859649122807017543859649122807E-2 -#define ATANH_MAC59 1.6949152542372881355932203389830508474576271186440677966101694915254237E-2 +#define SMD_DP_ATANH_MAC19 5.263157894736842105263157894737E-2 +#define SMD_DP_ATANH_MAC21 4.761904761904761904761904761905E-2 +#define SMD_DP_ATANH_MAC23 4.347826086956521739130434782609E-2 +#define SMD_DP_ATANH_MAC25 4.000000000000000000000000000000E-2 +#define SMD_DP_ATANH_MAC27 3.703703703703703703703703703704E-2 +#define SMD_DP_ATANH_MAC29 3.448275862068965517241379310345E-2 +#define SMD_DP_ATANH_MAC31 3.225806451612903225806451612903E-2 +#define SMD_DP_ATANH_MAC33 3.030303030303030303030303030303E-2 +#define SMD_DP_ATANH_MAC35 2.857142857142857142857142857143E-2 +#define SMD_DP_ATANH_MAC37 2.702702702702702702702702702703E-2 +#define SMD_DP_ATANH_MAC39 2.564102564102564102564102564103E-2 #endif @@ -120,12 +110,9 @@ static __inline vector double _atanhd2(vector double x) vec_double2 sign_mask = spu_splats(-0.0); vec_double2 oned = spu_splats(1.0); vec_double2 onehalfd = spu_splats(0.5); - vec_uint4 infminus1 = spu_splats(0x7FEFFFFFU); - vec_uint4 isinfnan; - vec_uint4 xabshigh; vec_double2 xabs, xsqu; /* Where we switch from maclaurin to formula */ - vec_float4 switch_approx = spu_splats(0.08f); + vec_float4 switch_approx = spu_splats(0.125f); vec_uint4 use_form; vec_float4 xf; vec_double2 result, fresult, mresult;; @@ -147,12 +134,14 @@ static __inline vector double _atanhd2(vector double x) /* * Taylor Series */ - mresult = spu_madd(xsqu, spu_splats(ATANH_MAC13), spu_splats(ATANH_MAC11)); - mresult = spu_madd(xsqu, mresult, spu_splats(ATANH_MAC09)); - mresult = spu_madd(xsqu, mresult, spu_splats(ATANH_MAC07)); - mresult = spu_madd(xsqu, mresult, spu_splats(ATANH_MAC05)); - mresult = spu_madd(xsqu, mresult, spu_splats(ATANH_MAC03)); - mresult = spu_madd(xsqu, mresult, spu_splats(ATANH_MAC01)); + mresult = spu_madd(xsqu, spu_splats(SMD_DP_ATANH_MAC17), spu_splats(SMD_DP_ATANH_MAC15)); + mresult = spu_madd(xsqu, mresult, spu_splats(SMD_DP_ATANH_MAC13)); + mresult = spu_madd(xsqu, mresult, spu_splats(SMD_DP_ATANH_MAC11)); + mresult = spu_madd(xsqu, mresult, spu_splats(SMD_DP_ATANH_MAC09)); + mresult = spu_madd(xsqu, mresult, spu_splats(SMD_DP_ATANH_MAC07)); + mresult = spu_madd(xsqu, mresult, spu_splats(SMD_DP_ATANH_MAC05)); + mresult = spu_madd(xsqu, mresult, spu_splats(SMD_DP_ATANH_MAC03)); + mresult = spu_madd(xsqu, mresult, spu_splats(SMD_DP_ATANH_MAC01)); mresult = spu_mul(xabs, mresult); @@ -162,10 +151,10 @@ static __inline vector double _atanhd2(vector double x) use_form = spu_cmpgt(xf, switch_approx); result = spu_sel(mresult, fresult, (vec_ullong2)use_form); - /* Infinity and NaN */ - xabshigh = (vec_uint4)spu_shuffle(xabs, xabs, dup_even); - isinfnan = spu_cmpgt(xabshigh, infminus1); - result = spu_sel(result, x, (vec_ullong2)isinfnan); + /* + * Spec says results are undefined for |x| > 1, so + * no boundary tests needed here. + */ /* Restore sign - atanh is an anti-symmetric */ result = spu_sel(result, x, (vec_ullong2)sign_mask); 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