diff options
Diffstat (limited to 'newlib/libm/machine/spu/headers/atanhd2.h')
| -rw-r--r-- | newlib/libm/machine/spu/headers/atanhd2.h | 93 |
1 files changed, 58 insertions, 35 deletions
diff --git a/newlib/libm/machine/spu/headers/atanhd2.h b/newlib/libm/machine/spu/headers/atanhd2.h index 85e78580f..b1bc33ef9 100644 --- a/newlib/libm/machine/spu/headers/atanhd2.h +++ b/newlib/libm/machine/spu/headers/atanhd2.h @@ -1,5 +1,5 @@ /* -------------------------------------------------------------- */ -/* (C)Copyright 2007,2008, */ +/* (C)Copyright 2006,2007, */ /* International Business Machines Corporation */ /* All Rights Reserved. */ /* */ @@ -19,6 +19,18 @@ /* contributors may be used to endorse or promote products */ /* derived from this software without specific prior written */ /* permission. */ +/* Redistributions of source code must retain the above copyright */ +/* notice, this list of conditions and the following disclaimer. */ +/* */ +/* Redistributions in binary form must reproduce the above */ +/* copyright notice, this list of conditions and the following */ +/* disclaimer in the documentation and/or other materials */ +/* provided with the distribution. */ +/* */ +/* Neither the name of IBM Corporation nor the names of its */ +/* contributors may be used to endorse or promote products */ +/* derived from this software without specific prior written */ +/* permission. */ /* */ /* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND */ /* CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, */ @@ -60,7 +72,7 @@ * Special Cases: * - atanh(1) = Infinity * - atanh(-1) = -Infinity - * - atanh(x) for |x| > 1 = Undefined + * - atanh(x) for |x| > 1 = NaN * */ @@ -68,27 +80,37 @@ * Maclaurin Series Coefficients * for x near 0. */ -#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 +#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 #if 0 -#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 +#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 #endif @@ -98,9 +120,12 @@ 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(0.125f); + vec_float4 switch_approx = spu_splats(0.08f); vec_uint4 use_form; vec_float4 xf; vec_double2 result, fresult, mresult;; @@ -122,14 +147,12 @@ static __inline vector double _atanhd2(vector double x) /* * Taylor Series */ - 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_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_mul(xabs, mresult); @@ -139,10 +162,10 @@ static __inline vector double _atanhd2(vector double x) use_form = spu_cmpgt(xf, switch_approx); result = spu_sel(mresult, fresult, (vec_ullong2)use_form); - /* - * Spec says results are undefined for |x| > 1, so - * no boundary tests needed here. - */ + /* 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); /* Restore sign - atanh is an anti-symmetric */ result = spu_sel(result, x, (vec_ullong2)sign_mask); |