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Diffstat (limited to 'newlib/libm/machine/spu/headers/log2d2.h')
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+/* -------------------------------------------------------------- */
+/* (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 _LOG2D2_H_
+#define _LOG2D2_H_ 1
+
+#include <spu_intrinsics.h>
+
+/*
+ * FUNCTION
+ * vector double _log2d2(vector double x)
+ *
+ * DESCRIPTION
+ * The function _log2d2 computes log base 2 of the input x for each
+ * of the double word elements of x. The log2 is decomposed
+ * into two parts, log2 of the exponent and log2 of the
+ * fraction. The log2 of the fraction is approximated
+ * using a 21st order polynomial of the form:
+ *
+ * __20_
+ * \
+ * log(x) = x * (1 + \ (Ci * x^i))
+ * /
+ * /____
+ * i=0
+ *
+ * for x in the range 0-1.
+ */
+#define LOG_C00
+#define LOG_C01
+#define LOG_C02
+
+static __inline vector double _log2d2(vector double vx)
+{
+ vec_int4 addval;
+ vec_ullong2 exp_mask = spu_splats(0x7FF0000000000000ULL);
+ vec_double2 vy, vxw;
+ vec_double2 v1 = spu_splats(1.0);
+ vec_double2 x2, x4, x8, x10, p1, p2;
+
+ /* Extract the fraction component of input by forcing
+ * its exponent so that input is in the range [1.0, 2.0)
+ * and then subtract 1.0 to force it in the range
+ * [0.0, 1.0).
+ */
+ vxw = spu_sub(spu_sel(vx, v1, exp_mask), v1);
+
+ /* Compute the log2 of the exponent as exp - 1023.
+ */
+ addval = spu_add(spu_rlmask((vec_int4)vx, -20), -1023);
+
+ /* Compute the log2 of the fractional component using a 21st
+ * order polynomial. The polynomial is evaluated in two halves
+ * to improve efficiency.
+ */
+ p1 = spu_madd(spu_splats(3.61276447184348752E-05), vxw, spu_splats(-4.16662127033480827E-04));
+ p2 = spu_madd(spu_splats(-1.43988260692073185E-01), vxw, spu_splats(1.60245637034704267E-01));
+ p1 = spu_madd(vxw, p1, spu_splats(2.28193656337578229E-03));
+ p2 = spu_madd(vxw, p2, spu_splats(-1.80329036970820794E-01));
+ p1 = spu_madd(vxw, p1, spu_splats(-7.93793829370930689E-03));
+ p2 = spu_madd(vxw, p2, spu_splats(2.06098446037376922E-01));
+ p1 = spu_madd(vxw, p1, spu_splats(1.98461565426430164E-02));
+ p2 = spu_madd(vxw, p2, spu_splats(-2.40449108727688962E-01));
+ p1 = spu_madd(vxw, p1, spu_splats(-3.84093543662501949E-02));
+ p2 = spu_madd(vxw, p2, spu_splats(2.88539004851839364E-01));
+ p1 = spu_madd(vxw, p1, spu_splats(6.08335872067172597E-02));
+ p2 = spu_madd(vxw, p2, spu_splats(-3.60673760117245982E-01));
+ p1 = spu_madd(vxw, p1, spu_splats(-8.27937055456904317E-02));
+ p2 = spu_madd(vxw, p2, spu_splats(4.80898346961226595E-01));
+ p1 = spu_madd(vxw, p1, spu_splats(1.01392360727236079E-01));
+ p2 = spu_madd(vxw, p2, spu_splats(-7.21347520444469934E-01));
+ p1 = spu_madd(vxw, p1, spu_splats(-1.16530490533844182E-01));
+ p2 = spu_madd(vxw, p2, spu_splats(0.44269504088896339E+00));
+ p1 = spu_madd(vxw, p1, spu_splats(1.30009193360025350E-01));
+
+ x2 = spu_mul(vxw, vxw);
+ x4 = spu_mul(x2, x2);
+ x8 = spu_mul(x4, x4);
+ x10 = spu_mul(x8, x2);
+
+ vy = spu_madd(spu_madd(x10, p1, p2), vxw, vxw);
+
+ /* Add the log2(exponent) and the log2(fraction) to
+ * compute the final result.
+ */
+ vy = spu_add(vy, spu_extend(spu_convtf(addval, 0)));
+
+ vxw = spu_extend(spu_convtf(addval, 20));
+
+ return(vy);
+}
+
+#endif /* _LOG2D2_H_ */
+#endif /* __SPU__ */