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authorJeff Johnston <jjohnstn@redhat.com>2007-09-28 18:44:24 +0000
committerJeff Johnston <jjohnstn@redhat.com>2007-09-28 18:44:24 +0000
commite30a7b84aa1527df63f20fe0cb3605afab652d94 (patch)
tree62f7953f44d2d88dcb25b69693882e4e77a200b9 /newlib/libm/machine/spu/headers/exp2d2.h
parent505ea71432880e9464e407dc08b4648ae3566c9d (diff)
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2007-09-28 Patrick Mansfield <patmans@us.ibm.com>
* libm/machine/spu/Makefile.am: Add new C files. * libm/machine/spu/Makefile.in: Regenerate. * libm/machine/spu/headers/acos.h: New file. * libm/machine/spu/headers/acosd2.h: Ditto. * libm/machine/spu/headers/acosf.h: Ditto. * libm/machine/spu/headers/acosf4.h: Ditto. * libm/machine/spu/headers/acosh.h: Ditto. * libm/machine/spu/headers/acoshd2.h: Ditto. * libm/machine/spu/headers/acoshf.h: Ditto. * libm/machine/spu/headers/acoshf4.h: Ditto. * libm/machine/spu/headers/asin.h: Ditto. * libm/machine/spu/headers/asind2.h: Ditto. * libm/machine/spu/headers/asinf.h: Ditto. * libm/machine/spu/headers/asinf4.h: Ditto. * libm/machine/spu/headers/asinh.h: Ditto. * libm/machine/spu/headers/asinhd2.h: Ditto. * libm/machine/spu/headers/asinhf.h: Ditto. * libm/machine/spu/headers/asinhf4.h: Ditto. * libm/machine/spu/headers/atan.h: Ditto. * libm/machine/spu/headers/atan2.h: Ditto. * libm/machine/spu/headers/atan2d2.h: Ditto. * libm/machine/spu/headers/atan2f.h: Ditto. * libm/machine/spu/headers/atan2f4.h: Ditto. * libm/machine/spu/headers/atand2.h: Ditto. * libm/machine/spu/headers/atanf4.h: Ditto. * libm/machine/spu/headers/atanh.h: Ditto. * libm/machine/spu/headers/atanhd2.h: Ditto. * libm/machine/spu/headers/atanhf.h: Ditto. * libm/machine/spu/headers/atanhf4.h: Ditto. * libm/machine/spu/headers/cos.h: Ditto. * libm/machine/spu/headers/cos_sin.h: Ditto. * libm/machine/spu/headers/cosd2.h: Ditto. * libm/machine/spu/headers/cosf.h: Ditto. * libm/machine/spu/headers/cosf4.h: Ditto. * libm/machine/spu/headers/cosh.h: Ditto. * libm/machine/spu/headers/coshd2.h: Ditto. * libm/machine/spu/headers/coshf.h: Ditto. * libm/machine/spu/headers/coshf4.h: Ditto. * libm/machine/spu/headers/divd2.h: Ditto. * libm/machine/spu/headers/divf4.h: Ditto. * libm/machine/spu/headers/erf.h: Ditto. * libm/machine/spu/headers/erf_utils.h: Ditto. * libm/machine/spu/headers/erfc.h: Ditto. * libm/machine/spu/headers/erfcd2.h: Ditto. * libm/machine/spu/headers/erfcf.h: Ditto. * libm/machine/spu/headers/erfcf4.h: Ditto. * libm/machine/spu/headers/erfd2.h: Ditto. * libm/machine/spu/headers/erff.h: Ditto. * libm/machine/spu/headers/erff4.h: Ditto. * libm/machine/spu/headers/exp.h: Ditto. * libm/machine/spu/headers/exp2.h: Ditto. * libm/machine/spu/headers/exp2d2.h: Ditto. * libm/machine/spu/headers/exp2f4.h: Ditto. * libm/machine/spu/headers/expd2.h: Ditto. * libm/machine/spu/headers/expf4.h: Ditto. * libm/machine/spu/headers/expm1.h: Ditto. * libm/machine/spu/headers/expm1d2.h: Ditto. * libm/machine/spu/headers/expm1f.h: Ditto. * libm/machine/spu/headers/expm1f4.h: Ditto. * libm/machine/spu/headers/floord2.h: Ditto. * libm/machine/spu/headers/floorf4.h: Ditto. * libm/machine/spu/headers/hypot.h: Ditto. * libm/machine/spu/headers/hypotd2.h: Ditto. * libm/machine/spu/headers/hypotf.h: Ditto. * libm/machine/spu/headers/hypotf4.h: Ditto. * libm/machine/spu/headers/isnan.h: Ditto. * libm/machine/spu/headers/isnand2.h: Ditto. * libm/machine/spu/headers/isnanf.h: Ditto. * libm/machine/spu/headers/isnanf4.h: Ditto. * libm/machine/spu/headers/ldexpd2.h: Ditto. * libm/machine/spu/headers/ldexpf4.h: Ditto. * libm/machine/spu/headers/lgamma.h: Ditto. * libm/machine/spu/headers/lgammad2.h: Ditto. * libm/machine/spu/headers/lgammaf.h: Ditto. * libm/machine/spu/headers/lgammaf4.h: Ditto. * libm/machine/spu/headers/log.h: Ditto. * libm/machine/spu/headers/log10.h: Ditto. * libm/machine/spu/headers/log10d2.h: Ditto. * libm/machine/spu/headers/log1p.h: Ditto. * libm/machine/spu/headers/log1pd2.h: Ditto. * libm/machine/spu/headers/log1pf.h: Ditto. * libm/machine/spu/headers/log1pf4.h: Ditto. * libm/machine/spu/headers/log2.h: Ditto. * libm/machine/spu/headers/log2d2.h: Ditto. * libm/machine/spu/headers/log2f4.h: Ditto. * libm/machine/spu/headers/logbf.h: Ditto. * libm/machine/spu/headers/logbf4.h: Ditto. * libm/machine/spu/headers/logd2.h: Ditto. * libm/machine/spu/headers/logf4.h: Ditto. * libm/machine/spu/headers/nearbyintf.h: Ditto. * libm/machine/spu/headers/nearbyintf4.h: Ditto. * libm/machine/spu/headers/nextafter.h: Ditto. * libm/machine/spu/headers/nextafterd2.h: Ditto. * libm/machine/spu/headers/nextafterf.h: Ditto. * libm/machine/spu/headers/nextafterf4.h: Ditto. * libm/machine/spu/headers/pow.h: Ditto. * libm/machine/spu/headers/powd2.h: Ditto. * libm/machine/spu/headers/powf.h: Ditto. * libm/machine/spu/headers/powf4.h: Ditto. * libm/machine/spu/headers/recipd2.h: Ditto. * libm/machine/spu/headers/recipf4.h: Ditto. * libm/machine/spu/headers/rintf.h: Ditto. * libm/machine/spu/headers/rintf4.h: Ditto. * libm/machine/spu/headers/scalbnf4.h: Ditto. * libm/machine/spu/headers/signbit.h: Ditto. * libm/machine/spu/headers/signbitd2.h: Ditto. * libm/machine/spu/headers/simdmath.h: Ditto. * libm/machine/spu/headers/sin.h: Ditto. * libm/machine/spu/headers/sincos.h: Ditto. * libm/machine/spu/headers/sincosd2.h: Ditto. * libm/machine/spu/headers/sincosf.h: Ditto. * libm/machine/spu/headers/sincosf4.h: Ditto. * libm/machine/spu/headers/sind2.h: Ditto. * libm/machine/spu/headers/sinf.h: Ditto. * libm/machine/spu/headers/sinf4.h: Ditto. * libm/machine/spu/headers/sinh.h: Ditto. * libm/machine/spu/headers/sinhd2.h: Ditto. * libm/machine/spu/headers/sinhf.h: Ditto. * libm/machine/spu/headers/sinhf4.h: Ditto. * libm/machine/spu/headers/sqrtd2.h: Ditto. * libm/machine/spu/headers/sqrtf.h: Ditto. * libm/machine/spu/headers/sqrtf4.h: Ditto. * libm/machine/spu/headers/tan.h: Ditto. * libm/machine/spu/headers/tand2.h: Ditto. * libm/machine/spu/headers/tanf.h: Ditto. * libm/machine/spu/headers/tanf4.h: Ditto. * libm/machine/spu/headers/tanh.h: Ditto. * libm/machine/spu/headers/tanhd2.h: Ditto. * libm/machine/spu/headers/tanhf.h: Ditto. * libm/machine/spu/headers/tanhf4.h: Ditto. * libm/machine/spu/headers/tgamma.h: Ditto. * libm/machine/spu/headers/tgammad2.h: Ditto. * libm/machine/spu/headers/tgammaf.h: Ditto. * libm/machine/spu/headers/tgammaf4.h: Ditto. * libm/machine/spu/headers/truncd2.h: Ditto. * libm/machine/spu/headers/truncf4.h: Ditto. * libm/machine/spu/log2.c: Ditto. * libm/machine/spu/s_asinh.c: Ditto. * libm/machine/spu/s_atan.c: Ditto. * libm/machine/spu/s_cos.c: Ditto. * libm/machine/spu/s_erf.c: Ditto. * libm/machine/spu/s_expm1.c: Ditto. * libm/machine/spu/s_isnan.c: Ditto. * libm/machine/spu/s_log1p.c: Ditto. * libm/machine/spu/s_nextafter.c: Ditto. * libm/machine/spu/s_sin.c: Ditto. * libm/machine/spu/s_tan.c: Ditto. * libm/machine/spu/s_tanh.c: Ditto. * libm/machine/spu/sf_asinh.c: Ditto. * libm/machine/spu/sf_cos.c: Ditto. * libm/machine/spu/sf_erf.c: Ditto. * libm/machine/spu/sf_expm1.c: Ditto. * libm/machine/spu/sf_log1p.c: Ditto. * libm/machine/spu/sf_logb.c: Ditto. * libm/machine/spu/sf_nearbyint.c: Ditto. * libm/machine/spu/sf_nextafter.c: Ditto. * libm/machine/spu/sf_rint.c: Ditto. * libm/machine/spu/sf_sin.c: Ditto. * libm/machine/spu/sf_tan.c: Ditto. * libm/machine/spu/sf_tanh.c: Ditto. * libm/machine/spu/w_acos.c: Ditto. * libm/machine/spu/w_acosh.c: Ditto. * libm/machine/spu/w_asin.c: Ditto. * libm/machine/spu/w_atan2.c: Ditto. * libm/machine/spu/w_atanh.c: Ditto. * libm/machine/spu/w_cosh.c: Ditto. * libm/machine/spu/w_exp.c: Ditto. * libm/machine/spu/w_exp2.c: Ditto. * libm/machine/spu/w_hypot.c: Ditto. * libm/machine/spu/w_lgamma.c: Ditto. * libm/machine/spu/w_log.c: Ditto. * libm/machine/spu/w_log10.c: Ditto. * libm/machine/spu/w_pow.c: Ditto. * libm/machine/spu/w_sincos.c: Ditto. * libm/machine/spu/w_sinh.c: Ditto. * libm/machine/spu/w_tgamma.c: Ditto. * libm/machine/spu/wf_acos.c: Ditto. * libm/machine/spu/wf_acosh.c: Ditto. * libm/machine/spu/wf_asin.c: Ditto. * libm/machine/spu/wf_atan2.c: Ditto. * libm/machine/spu/wf_atanh.c: Ditto. * libm/machine/spu/wf_cosh.c: Ditto. * libm/machine/spu/wf_hypot.c: Ditto. * libm/machine/spu/wf_lgamma.c: Ditto. * libm/machine/spu/wf_pow.c: Ditto. * libm/machine/spu/wf_sincos.c: Ditto. * libm/machine/spu/wf_sinh.c: Ditto. * libm/machine/spu/wf_sqrt.c: Ditto. * libm/machine/spu/wf_tgamma.c: Ditto.
Diffstat (limited to 'newlib/libm/machine/spu/headers/exp2d2.h')
-rw-r--r--newlib/libm/machine/spu/headers/exp2d2.h164
1 files changed, 164 insertions, 0 deletions
diff --git a/newlib/libm/machine/spu/headers/exp2d2.h b/newlib/libm/machine/spu/headers/exp2d2.h
new file mode 100644
index 000000000..27b0f31c9
--- /dev/null
+++ b/newlib/libm/machine/spu/headers/exp2d2.h
@@ -0,0 +1,164 @@
+/* -------------------------------------------------------------- */
+/* (C)Copyright 2006,2007, */
+/* International Business Machines Corporation, */
+/* Sony Computer Entertainment, Incorporated, */
+/* Toshiba Corporation, */
+/* */
+/* All Rights Reserved. */
+/* */
+/* Redistribution and use in source and binary forms, with or */
+/* without modification, are permitted provided that the */
+/* following conditions are met: */
+/* */
+/* - 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. */
+/* 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, */
+/* INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF */
+/* MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE */
+/* DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR */
+/* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, */
+/* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT */
+/* NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; */
+/* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) */
+/* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN */
+/* CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR */
+/* OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, */
+/* EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */
+/* -------------------------------------------------------------- */
+/* PROLOG END TAG zYx */
+#ifdef __SPU__
+
+#ifndef _EXP2D2_H_
+#define _EXP2D2_H_ 1
+
+#include <spu_intrinsics.h>
+
+
+/*
+ * FUNCTION
+ * vector double _exp2d2(vector double x)
+ *
+ * DESCRIPTION
+ * _exp2d2 computes 2 raised to the input x for each
+ * of the double word elements of x. Computation is
+ * performed by observing the 2^(a+b) = 2^a * 2^b.
+ * We decompose x into a and b (above) by letting.
+ * a = ceil(x), b = x - a;
+ *
+ * 2^a is easily computed by placing a into the exponent
+ * or a floating point number whose mantissa is all zeros.
+ *
+ * 2^b is computed using the polynomial approximation.
+ *
+ * __13_
+ * \
+ * \
+ * 2^x = / Ci*x^i
+ * /____
+ * i=0
+ *
+ * for x in the range 0.0 to 1.0.
+ *
+ */
+#define EXP_C00 1.0
+#define EXP_C01 6.93147180559945286227e-01
+#define EXP_C02 2.40226506959100694072e-01
+#define EXP_C03 5.55041086648215761801e-02
+#define EXP_C04 9.61812910762847687873e-03
+#define EXP_C05 1.33335581464284411157e-03
+#define EXP_C06 1.54035303933816060656e-04
+#define EXP_C07 1.52527338040598376946e-05
+#define EXP_C08 1.32154867901443052734e-06
+#define EXP_C09 1.01780860092396959520e-07
+#define EXP_C10 7.05491162080112087744e-09
+#define EXP_C11 4.44553827187081007394e-10
+#define EXP_C12 2.56784359934881958182e-11
+#define EXP_C13 1.36914888539041240648e-12
+
+static __inline vector double _exp2d2(vector double vx)
+{
+ vec_int4 ix, exp;
+ vec_uint4 overflow, underflow;
+ vec_float4 vxf;
+ vec_double2 p1, p2, x2, x4, x8;
+ vec_double2 vy, vxw, out_of_range;
+
+ /* Compute: vxw = x - ceil(x)
+ */
+ vxw = spu_add(vx, spu_splats(0.5));
+ vxf = spu_roundtf(vxw);
+ ix = spu_convts(vxf, 0);
+ ix = spu_add(ix, (vec_int4)spu_andc(spu_cmpgt(spu_splats(0.0f), vxf), spu_cmpeq(ix, spu_splats((int)0x80000000))));
+ vxf = spu_convtf(ix, 0);
+ vxw = spu_sub(vx, spu_extend(vxf));
+
+ /* Detect overflow and underflow. If overflow, force the result
+ * to infinity (at the end).
+ */
+ exp = spu_shuffle(ix, ix, ((vec_uchar16) { 0,1,2,3, 0,1,2,3, 8,9,10,11, 8,9,10,11 }));
+
+ overflow = spu_cmpgt(exp, 1023);
+ underflow = spu_cmpgt(exp, -1023);
+ out_of_range = (vec_double2)spu_and(overflow, ((vec_uint4) { 0x7FF00000, 0, 0x7FF00000, 0 }));
+
+ /* Calculate the result by evaluating the 13th order polynomial.
+ * For efficiency, the polynomial is broken into two parts and
+ * evaluate then using nested
+ *
+ * result = (((((c13*x + c12)*x + c11)*x + c10)*x + c9)*x + c8)*x^8 +
+ * ((((((c7*x + c6)*x + c5)*x + c4)*x + c3)*x + c2)*x + c1)*x + c0
+ */
+ p2 = spu_madd(spu_splats(EXP_C07), vxw, spu_splats(EXP_C06));
+ p1 = spu_madd(spu_splats(EXP_C13), vxw, spu_splats(EXP_C12));
+ x2 = spu_mul(vxw, vxw);
+ p2 = spu_madd(vxw, p2, spu_splats(EXP_C05));
+ p1 = spu_madd(vxw, p1, spu_splats(EXP_C11));
+ x4 = spu_mul(x2, x2);
+ p2 = spu_madd(vxw, p2, spu_splats(EXP_C04));
+ p1 = spu_madd(vxw, p1, spu_splats(EXP_C10));
+ p2 = spu_madd(vxw, p2, spu_splats(EXP_C03));
+ p1 = spu_madd(vxw, p1, spu_splats(EXP_C09));
+ x8 = spu_mul(x4, x4);
+ p2 = spu_madd(vxw, p2, spu_splats(EXP_C02));
+ p1 = spu_madd(vxw, p1, spu_splats(EXP_C08));
+ p2 = spu_madd(vxw, p2, spu_splats(EXP_C01));
+ p2 = spu_madd(vxw, p2, spu_splats(EXP_C00));
+ vy = spu_madd(x8, p1, p2);
+
+ /* Align the integer integer portion of x with the exponent.
+ */
+ ix = spu_sl(ix, ((vec_uint4) { 20, 32, 20, 32 }));
+ vy = (vec_double2)spu_add((vec_int4)vy, ix);
+
+ /* Select the result if not overflow or underflow. Otherwise select the
+ * the out of range value.
+ */
+ return (spu_sel(vy, out_of_range, (vec_ullong2)spu_orc(overflow, underflow)));
+}
+
+#endif /* _EXP2D2_H_ */
+#endif /* __SPU__ */