summaryrefslogtreecommitdiff
path: root/usr/src/lib/libmvec/common/__vsincosf.c
diff options
context:
space:
mode:
Diffstat (limited to 'usr/src/lib/libmvec/common/__vsincosf.c')
-rw-r--r--usr/src/lib/libmvec/common/__vsincosf.c314
1 files changed, 314 insertions, 0 deletions
diff --git a/usr/src/lib/libmvec/common/__vsincosf.c b/usr/src/lib/libmvec/common/__vsincosf.c
new file mode 100644
index 0000000000..835a160de6
--- /dev/null
+++ b/usr/src/lib/libmvec/common/__vsincosf.c
@@ -0,0 +1,314 @@
+/*
+ * CDDL HEADER START
+ *
+ * The contents of this file are subject to the terms of the
+ * Common Development and Distribution License (the "License").
+ * You may not use this file except in compliance with the License.
+ *
+ * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE
+ * or http://www.opensolaris.org/os/licensing.
+ * See the License for the specific language governing permissions
+ * and limitations under the License.
+ *
+ * When distributing Covered Code, include this CDDL HEADER in each
+ * file and include the License file at usr/src/OPENSOLARIS.LICENSE.
+ * If applicable, add the following below this CDDL HEADER, with the
+ * fields enclosed by brackets "[]" replaced with your own identifying
+ * information: Portions Copyright [yyyy] [name of copyright owner]
+ *
+ * CDDL HEADER END
+ */
+/*
+ * Copyright 2011 Nexenta Systems, Inc. All rights reserved.
+ */
+/*
+ * Copyright 2005 Sun Microsystems, Inc. All rights reserved.
+ * Use is subject to license terms.
+ */
+
+/*
+ * __vsincosf: single precision vector sincos
+ *
+ * Algorithm:
+ *
+ * For |x| < pi/4, approximate sin(x) by a polynomial x+x*z*(S0+
+ * z*(S1+z*S2)) and cos(x) by a polynomial 1+z*(-1/2+z*(C0+z*(C1+
+ * z*C2))), where z = x*x, all evaluated in double precision.
+ *
+ * Accuracy:
+ *
+ * The largest error is less than 0.6 ulps.
+ */
+
+#include <sys/isa_defs.h>
+
+#ifdef _LITTLE_ENDIAN
+#define HI(x) *(1+(int *)&x)
+#define LO(x) *(unsigned *)&x
+#else
+#define HI(x) *(int *)&x
+#define LO(x) *(1+(unsigned *)&x)
+#endif
+
+#ifdef __RESTRICT
+#define restrict _Restrict
+#else
+#define restrict
+#endif
+
+extern int __vlibm_rem_pio2m(double *, double *, int, int, int);
+
+static const double C[] = {
+ -1.66666552424430847168e-01, /* 2^ -3 * -1.5555460000000 */
+ 8.33219196647405624390e-03, /* 2^ -7 * 1.11077E0000000 */
+ -1.95187909412197768688e-04, /* 2^-13 * -1.9956B60000000 */
+ 1.0,
+ -0.5,
+ 4.16666455566883087158e-02, /* 2^ -5 * 1.55554A0000000 */
+ -1.38873036485165357590e-03, /* 2^-10 * -1.6C0C1E0000000 */
+ 2.44309903791872784495e-05, /* 2^-16 * 1.99E24E0000000 */
+ 0.636619772367581343075535, /* 2^ -1 * 1.45F306DC9C883 */
+ 6755399441055744.0, /* 2^ 52 * 1.8000000000000 */
+ 1.570796326734125614166, /* 2^ 0 * 1.921FB54400000 */
+ 6.077100506506192601475e-11, /* 2^-34 * 1.0B4611A626331 */
+};
+
+#define S0 C[0]
+#define S1 C[1]
+#define S2 C[2]
+#define one C[3]
+#define mhalf C[4]
+#define C0 C[5]
+#define C1 C[6]
+#define C2 C[7]
+#define invpio2 C[8]
+#define c3two51 C[9]
+#define pio2_1 C[10]
+#define pio2_t C[11]
+
+#define PREPROCESS(N, sindex, cindex, label) \
+ hx = *(int *)x; \
+ ix = hx & 0x7fffffff; \
+ t = *x; \
+ x += stridex; \
+ if (ix <= 0x3f490fdb) { /* |x| < pi/4 */ \
+ if (ix == 0) { \
+ s[sindex] = t; \
+ c[cindex] = one; \
+ goto label; \
+ } \
+ y##N = (double)t; \
+ n##N = 0; \
+ } else if (ix <= 0x49c90fdb) { /* |x| < 2^19*pi */ \
+ y##N = (double)t; \
+ medium = 1; \
+ } else { \
+ if (ix >= 0x7f800000) { /* inf or nan */ \
+ s[sindex] = c[cindex] = t / t; \
+ goto label; \
+ } \
+ z##N = y##N = (double)t; \
+ hx = HI(y##N); \
+ n##N = ((hx >> 20) & 0x7ff) - 1046; \
+ HI(z##N) = (hx & 0xfffff) | 0x41600000; \
+ n##N = __vlibm_rem_pio2m(&z##N, &y##N, n##N, 1, 0); \
+ if (hx < 0) { \
+ y##N = -y##N; \
+ n##N = -n##N; \
+ } \
+ z##N = y##N * y##N; \
+ f##N = (float)(y##N + y##N * z##N * (S0 + z##N * \
+ (S1 + z##N * S2))); \
+ g##N = (float)(one + z##N * (mhalf + z##N * (C0 + \
+ z##N * (C1 + z##N * C2)))); \
+ if (n##N & 2) { \
+ f##N = -f##N; \
+ g##N = -g##N; \
+ } \
+ if (n##N & 1) { \
+ s[sindex] = g##N; \
+ c[cindex] = -f##N; \
+ } else { \
+ s[sindex] = f##N; \
+ c[cindex] = g##N; \
+ } \
+ goto label; \
+ }
+
+#define PROCESS(N) \
+ if (medium) { \
+ z##N = y##N * invpio2 + c3two51; \
+ n##N = LO(z##N); \
+ z##N -= c3two51; \
+ y##N = (y##N - z##N * pio2_1) - z##N * pio2_t; \
+ } \
+ z##N = y##N * y##N; \
+ f##N = (float)(y##N + y##N * z##N * (S0 + z##N * (S1 + z##N * S2)));\
+ g##N = (float)(one + z##N * (mhalf + z##N * (C0 + z##N * \
+ (C1 + z##N * C2)))); \
+ if (n##N & 2) { \
+ f##N = -f##N; \
+ g##N = -g##N; \
+ } \
+ if (n##N & 1) { \
+ *s = g##N; \
+ *c = -f##N; \
+ } else { \
+ *s = f##N; \
+ *c = g##N; \
+ } \
+ s += strides; \
+ c += stridec
+
+void
+__vsincosf(int n, float *restrict x, int stridex,
+ float *restrict s, int strides, float *restrict c, int stridec)
+{
+ double y0, y1, y2, y3;
+ double z0, z1, z2, z3;
+ float f0, f1, f2, f3, t;
+ float g0, g1, g2, g3;
+ int n0 = 0, n1 = 0, n2 = 0, n3, hx, ix, medium;
+
+ s -= strides;
+ c -= stridec;
+
+ for (;;) {
+begin:
+ s += strides;
+ c += stridec;
+
+ if (--n < 0)
+ break;
+
+ medium = 0;
+ PREPROCESS(0, 0, 0, begin);
+
+ if (--n < 0)
+ goto process1;
+
+ PREPROCESS(1, strides, stridec, process1);
+
+ if (--n < 0)
+ goto process2;
+
+ PREPROCESS(2, (strides << 1), (stridec << 1), process2);
+
+ if (--n < 0)
+ goto process3;
+
+ PREPROCESS(3, (strides << 1) + strides,
+ (stridec << 1) + stridec, process3);
+
+ if (medium) {
+ z0 = y0 * invpio2 + c3two51;
+ z1 = y1 * invpio2 + c3two51;
+ z2 = y2 * invpio2 + c3two51;
+ z3 = y3 * invpio2 + c3two51;
+
+ n0 = LO(z0);
+ n1 = LO(z1);
+ n2 = LO(z2);
+ n3 = LO(z3);
+
+ z0 -= c3two51;
+ z1 -= c3two51;
+ z2 -= c3two51;
+ z3 -= c3two51;
+
+ y0 = (y0 - z0 * pio2_1) - z0 * pio2_t;
+ y1 = (y1 - z1 * pio2_1) - z1 * pio2_t;
+ y2 = (y2 - z2 * pio2_1) - z2 * pio2_t;
+ y3 = (y3 - z3 * pio2_1) - z3 * pio2_t;
+ }
+
+ z0 = y0 * y0;
+ z1 = y1 * y1;
+ z2 = y2 * y2;
+ z3 = y3 * y3;
+
+ f0 = (float)(y0 + y0 * z0 * (S0 + z0 * (S1 + z0 * S2)));
+ f1 = (float)(y1 + y1 * z1 * (S0 + z1 * (S1 + z1 * S2)));
+ f2 = (float)(y2 + y2 * z2 * (S0 + z2 * (S1 + z2 * S2)));
+ f3 = (float)(y3 + y3 * z3 * (S0 + z3 * (S1 + z3 * S2)));
+
+ g0 = (float)(one + z0 * (mhalf + z0 * (C0 + z0 *
+ (C1 + z0 * C2))));
+ g1 = (float)(one + z1 * (mhalf + z1 * (C0 + z1 *
+ (C1 + z1 * C2))));
+ g2 = (float)(one + z2 * (mhalf + z2 * (C0 + z2 *
+ (C1 + z2 * C2))));
+ g3 = (float)(one + z3 * (mhalf + z3 * (C0 + z3 *
+ (C1 + z3 * C2))));
+
+ if (n0 & 2) {
+ f0 = -f0;
+ g0 = -g0;
+ }
+ if (n1 & 2) {
+ f1 = -f1;
+ g1 = -g1;
+ }
+ if (n2 & 2) {
+ f2 = -f2;
+ g2 = -g2;
+ }
+ if (n3 & 2) {
+ f3 = -f3;
+ g3 = -g3;
+ }
+
+ if (n0 & 1) {
+ *s = g0;
+ *c = -f0;
+ } else {
+ *s = f0;
+ *c = g0;
+ }
+ s += strides;
+ c += stridec;
+
+ if (n1 & 1) {
+ *s = g1;
+ *c = -f1;
+ } else {
+ *s = f1;
+ *c = g1;
+ }
+ s += strides;
+ c += stridec;
+
+ if (n2 & 1) {
+ *s = g2;
+ *c = -f2;
+ } else {
+ *s = f2;
+ *c = g2;
+ }
+ s += strides;
+ c += stridec;
+
+ if (n3 & 1) {
+ *s = g3;
+ *c = -f3;
+ } else {
+ *s = f3;
+ *c = g3;
+ }
+ continue;
+
+process1:
+ PROCESS(0);
+ continue;
+
+process2:
+ PROCESS(0);
+ PROCESS(1);
+ continue;
+
+process3:
+ PROCESS(0);
+ PROCESS(1);
+ PROCESS(2);
+ }
+}
generated by cgit v1.2.3 (git 2.39.1) at 2025-04-27 18:18:06 +0000