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Diffstat (limited to 'newlib/libm/machine/spu/headers/sinhd2.h')
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+/* -------------------------------------------------------------- */
+/* (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 _SINHD2_H_
+#define _SINHD2_H_ 1
+
+#include <spu_intrinsics.h>
+
+#include "expd2.h"
+#include "recipd2.h"
+
+/*
+ * FUNCTION
+ * vector double _sinhd2(vector double angle)
+ *
+ * DESCRIPTION
+ * The _sinhd2 function computes the hyperbolic sine of a vector of
+ * angles (expressed in radians) to an accuracy of a double precision
+ * floating point.
+ */
+static __inline vector double _sinhd2(vector double x)
+{
+ // Coefficents for the power series
+ vec_double2 f03 = spu_splats(1.66666666666666666667E-01); // 1/(3!)
+ vec_double2 f05 = spu_splats(8.33333333333333333333E-03); // 1/(5!)
+ vec_double2 f07 = spu_splats(1.98412698412698412698E-04); // 1/(7!)
+ vec_double2 f09 = spu_splats(2.75573192239858906526E-06); // 1/(9!)
+ vec_double2 f11 = spu_splats(2.50521083854417187751E-08); // 1/(11!)
+ vec_double2 f13 = spu_splats(1.60590438368216145994E-10); // 1/(13!)
+ vec_double2 f15 = spu_splats(7.64716373181981647590E-13); // 1/(15!)
+ vec_double2 f17 = spu_splats(2.81145725434552076320E-15); // 1/(17!)
+ vec_double2 f19 = spu_splats(8.22063524662432971696E-18); // 1/(19!)
+ vec_double2 f21 = spu_splats(1.95729410633912612308E-20); // 1/(21!)
+ vec_double2 f23 = spu_splats(3.86817017063068403772E-23); // 1/(23!)
+
+
+
+ // Check if the input is within the range [ -1.0 ... 1.0 ]
+ // If it is, we want to use the power series, otherwise
+ // we want to use the 0.5 * (e^x - e^-x)
+
+ // round to float, check if within range. Results will be in
+ // slots 0 and 2, so we rotate right 4 bytes, and "or" with ourself
+ // to produce 64 bits of all 1's or 0's.
+ vec_uint4 use_exp = spu_cmpabsgt(spu_roundtf(x),spu_splats(1.0f));
+ use_exp = spu_or(use_exp,spu_rlmaskqwbyte(use_exp,-4));
+
+
+
+
+ // Perform the calculation of the power series using Horner's method
+ vec_double2 result;
+ vec_double2 x2 = spu_mul(x,x);
+ result = spu_madd(x2,f23,f21);
+ result = spu_madd(x2,result,f19);
+ result = spu_madd(x2,result,f17);
+ result = spu_madd(x2,result,f15);
+ result = spu_madd(x2,result,f13);
+ result = spu_madd(x2,result,f11);
+ result = spu_madd(x2,result,f09);
+ result = spu_madd(x2,result,f07);
+ result = spu_madd(x2,result,f05);
+ result = spu_madd(x2,result,f03);
+ result = spu_madd(x2,result,spu_splats(1.0));
+ result = spu_mul(x,result);
+
+
+ // Perform calculation as a function of 0.5 * (e^x - e^-x)
+ vec_double2 ex = _expd2(x);
+ vec_double2 ex_inv = _recipd2(ex);
+
+ vec_double2 r2= spu_sub(ex,ex_inv);
+ r2 = spu_mul(r2,spu_splats(0.5));
+
+
+ // Select either the power series or exp version
+ result = spu_sel(result,r2,(vec_ullong2)use_exp);
+
+
+
+ return result;
+
+}
+
+#endif /* _SINHD2_H_ */
+#endif /* __SPU__ */