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.

1 files changed, 177 insertions, 0 deletions

diff --git a/newlib/libm/machine/spu/headers/asind2.h b/newlib/libm/machine/spu/headers/asind2.h
new file mode 100644
index 000000000..8f86db307
--- /dev/null
+++ b/newlib/libm/machine/spu/headers/asind2.h
@@ -0,0 +1,177 @@
+/* --------------------------------------------------------------  */
+/* (C)Copyright 2006,2007,                                         */
+/* International Business Machines 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 _ASIND2_H_
+#define _ASIND2_H_	1
+
+#include "simdmath.h"
+#include <spu_intrinsics.h>
+#include "sqrtd2.h"
+#include "divd2.h"
+
+
+
+/*
+ * FUNCTION
+ *	vector double _asind2(vector double x)
+ *
+ * DESCRIPTION
+ * 	Compute the arc sine of the vector of double precision elements 
+ * 	specified by x, returning the resulting angles in radians. The input
+ *      elements are to be in the closed interval [-1, 1]. Values outside 
+ *      this range result in a invalid operation execption being latched in 
+ *	the FPSCR register and a NAN is returned.
+ *
+ * 	The basic algorithm computes the arc sine using a rational polynomial
+ * 	of the form x + x^3 * P(x^2) / Q(x^2) for inputs |x| in the interval 
+ *      [0, 0.5]. Values outsize this range are transformed as by:
+ * 
+ * 	asin(x) =  PI/2 - 2*asin(sqrt((1-x)/2)) for x in the range (0.5, 1.0]
+ * 
+ * 	asin(x) = -PI/2 + 2*asin(sqrt((1+x)/2)) for x in the range [-1.0, -0.5)
+ *
+ * 	This yields the basic algorithm of:
+ *
+ *	   absx = (x < 0.0) ? -x : x;
+ *	 
+ *	   if (absx > 0.5) {
+ *	     if (x < 0) {
+ *	       addend = -SM_PI_2;
+ *	       multiplier = -2.0;
+ *	     } else {
+ *	       addend = SM_PI_2;
+ *	       multiplier = 2.0;
+ *	     }
+ *	
+ *	     x = sqrt(-0.5 * absx + 0.5);
+ *	   } else {
+ *	     addend = 0.0;
+ *	     multiplier = 1.0;
+ *	   }
+ *	
+ *	    x2 = x * x;
+ *	    x3 = x2 * x;
+ *
+ *	    p = ((((P5 * x2 + P4)*x2 + P3)*x2 + P2)*x2 + P1)*x2 + P0;
+ *	 
+ *	    q = ((((Q5 * x2 + Q4)*x2 + Q3)*x2 + Q2)*x2 + Q1)*x2 + Q0;;
+ *	
+ *	    pq = p / q;
+ *	
+ *	    result = addend - (x3*pq + x)*multiplier;
+ *
+ *	 Where P5-P0 and Q5-Q0 are the polynomial coeficients.
+ */
+static __inline vector double _asind2(vector double x)
+{
+  vec_uint4   x_gt_half, x_eq_half;
+  vec_double2 x_abs;			// absolute value of x
+  vec_double2 x_trans;			// transformed x when |x| > 0.5
+  vec_double2 x2, x3;			// x squared and x cubed, respectively.
+  vec_double2 result;
+  vec_double2 multiplier, addend; 
+  vec_double2 p, q, pq;
+  vec_double2 half = spu_splats(0.5);
+  vec_double2 sign = (vec_double2)spu_splats(0x8000000000000000ULL);
+  vec_uchar16 splat_hi = ((vec_uchar16){0,1,2,3, 0,1,2,3, 8,9,10,11, 8,9,10,11});
+  
+  // Compute the absolute value of x
+  x_abs = spu_andc(x, sign);
+  
+  // Perform transformation for the case where |x| > 0.5. We rely on
+  // sqrtd2 producing a NAN is |x| > 1.0.
+  x_trans = _sqrtd2(spu_nmsub(x_abs, half, half));
+  
+  // Determine the correct addend and multiplier.
+  x_gt_half = spu_cmpgt((vec_uint4)x_abs, (vec_uint4)half);
+  x_eq_half = spu_cmpeq((vec_uint4)x_abs, (vec_uint4)half);
+  x_gt_half = spu_or(x_gt_half, spu_and(x_eq_half, spu_rlqwbyte(x_gt_half, 4)));
+  x_gt_half = spu_shuffle(x_gt_half, x_gt_half, splat_hi);
+
+  addend = spu_and(spu_sel(spu_splats((double)SM_PI_2), x, (vec_ullong2)sign), (vec_double2)x_gt_half);
+
+  multiplier = spu_sel(spu_splats(-1.0), spu_sel(spu_splats(2.0), x, (vec_ullong2)sign), (vec_ullong2)x_gt_half);
+
+  // Select whether to use the x or the transformed x for the polygon evaluation.
+  // if |x| > 0.5 use x_trans
+  // else         use x
+
+  x = spu_sel(x, x_trans, (vec_ullong2)x_gt_half);
+
+  // Compute the polynomials.
+
+  x2 = spu_mul(x, x);
+  x3 = spu_mul(x2, x);
+  
+  p = spu_madd(spu_splats(0.004253011369004428248960), x2, spu_splats(-0.6019598008014123785661));
+  p = spu_madd(p, x2, spu_splats(5.444622390564711410273));
+  p = spu_madd(p, x2, spu_splats(-16.26247967210700244449));
+  p = spu_madd(p, x2, spu_splats(19.56261983317594739197));
+  p = spu_madd(p, x2, spu_splats(-8.198089802484824371615));
+
+  q = spu_add(x2, spu_splats(-14.74091372988853791896));
+  q = spu_madd(q, x2, spu_splats(70.49610280856842141659));
+  q = spu_madd(q, x2, spu_splats(-147.1791292232726029859));
+  q = spu_madd(q, x2, spu_splats(139.5105614657485689735));
+  q = spu_madd(q, x2, spu_splats(-49.18853881490881290097));
+  
+  // Compute the rational solution p/q and final multiplication and addend 
+  // correction.
+  pq = _divd2(p, q);
+
+  result = spu_nmsub(spu_madd(x3, pq, x), multiplier, addend);
+
+  return (result);
+}
+
+#endif /* _ASIND2_H_ */
+#endif /* __SPU__ */