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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/expd2.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/expd2.h')
-rw-r--r--newlib/libm/machine/spu/headers/expd2.h165
1 files changed, 165 insertions, 0 deletions
diff --git a/newlib/libm/machine/spu/headers/expd2.h b/newlib/libm/machine/spu/headers/expd2.h
new file mode 100644
index 000000000..19d77dd51
--- /dev/null
+++ b/newlib/libm/machine/spu/headers/expd2.h
@@ -0,0 +1,165 @@
+/* -------------------------------------------------------------- */
+/* (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 _EXPD2_H_
+#define _EXPD2_H_ 1
+
+#include <spu_intrinsics.h>
+#include "floord2.h"
+#include "ldexpd2.h"
+
+#define LOG2E 1.4426950408889634073599 // 1/log(2)
+
+/*
+ * FUNCTION
+ * vector double _expd2(vector double x)
+ *
+ * DESCRIPTION
+ * _expd2 computes e raised to the input x for
+ * each of the element of the double word vector.
+ *
+ * Calculation is performed by reducing the input argument
+ * to within a managable range, and then computing the power
+ * series to the 11th degree.
+ *
+ * Range reduction is performed using the property:
+ *
+ * exp(x) = 2^n * exp(r)
+ *
+ * Values for "n" and "r" are determined such that:
+ *
+ * x = n * ln(2) + r, |r| <= ln(2)/2
+ *
+ * n = floor( (x/ln(2)) + 1/2 )
+ * r = x - (n * ln(2))
+ *
+ * To enhance the precision for "r", computation is performed
+ * using a two part representation of ln(2).
+ *
+ * Once the input is reduced, the power series is computed:
+ *
+ * __12_
+ * \
+ * exp(x) = 1 + \ (x^i)/i!
+ * /
+ * /____
+ * i=2
+ *
+ * The resulting value is scaled by 2^n and returned.
+ *
+ */
+
+static __inline vector double _expd2(vector double x)
+{
+ vec_uchar16 even2odd = ((vec_uchar16){0x80, 0x80, 0x80, 0x80, 0, 1, 2, 3,
+ 0x80, 0x80, 0x80, 0x80, 8, 9, 10, 11});
+
+ // log(2) in extended machine representable precision
+ vec_double2 ln2_hi = spu_splats(6.9314575195312500E-1); // 3FE62E4000000000
+ vec_double2 ln2_lo = spu_splats(1.4286068203094172E-6); // 3EB7F7D1CF79ABCA
+
+
+ // coefficients for the power series
+ vec_double2 f02 = spu_splats(5.00000000000000000000E-1); // 1/(2!)
+ vec_double2 f03 = spu_splats(1.66666666666666666667E-1); // 1/(3!)
+ vec_double2 f04 = spu_splats(4.16666666666666666667E-2); // 1/(4!)
+ vec_double2 f05 = spu_splats(8.33333333333333333333E-3); // 1/(5!)
+ vec_double2 f06 = spu_splats(1.38888888888888888889E-3); // 1/(6!)
+ vec_double2 f07 = spu_splats(1.98412698412698412698E-4); // 1/(7!)
+ vec_double2 f08 = spu_splats(2.48015873015873015873E-5); // 1/(8!)
+ vec_double2 f09 = spu_splats(2.75573192239858906526E-6); // 1/(9!)
+ vec_double2 f10 = spu_splats(2.75573192239858906526E-7); // 1/(10!)
+ vec_double2 f11 = spu_splats(2.50521083854417187751E-8); // 1/(11!)
+ vec_double2 f12 = spu_splats(2.08767569878680989792E-9); // 1/(12!)
+
+ // rx = floor(1/2 + x/log(2))
+ vec_double2 rx = _floord2(spu_madd(x,spu_splats(LOG2E),spu_splats(0.5)));
+
+ // extract the exponent of reduction
+ vec_int4 nint = spu_convts(spu_roundtf(rx),0);
+ vec_llong2 n = spu_extend(spu_shuffle(nint, nint, even2odd));
+
+ // reduce the input to within [ -ln(2)/2 ... ln(2)/2 ]
+ vec_double2 r;
+ r = spu_nmsub(rx,ln2_hi,x);
+ r = spu_nmsub(rx,ln2_lo,r);
+
+
+ vec_double2 result;
+ vec_double2 r2 = spu_mul(r,r);
+
+ // Use Horner's method on the power series
+ result = spu_madd(r,f12,f11);
+ result = spu_madd(result,r,f10);
+ result = spu_madd(result,r,f09);
+ result = spu_madd(result,r,f08);
+ result = spu_madd(result,r,f07);
+ result = spu_madd(result,r,f06);
+ result = spu_madd(result,r,f05);
+ result = spu_madd(result,r,f04);
+ result = spu_madd(result,r,f03);
+ result = spu_madd(result,r,f02);
+ result = spu_madd(result,r2,r);
+ result = spu_add(result,spu_splats(1.0));
+
+ // Scale the result
+ result = _ldexpd2(result, n);
+
+ return result;
+
+
+}
+
+
+#endif /* _EXPD2_H_ */
+#endif /* __SPU__ */