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authorChristopher Faylor <me@cgf.cx>2000-02-17 19:39:52 +0000
committerChristopher Faylor <me@cgf.cx>2000-02-17 19:39:52 +0000
commit8a0efa53e44919bcf5ccb1d3353618a82afdf8bc (patch)
tree68c3dbf3f2c6fd5d49777def9914d77b5cd4589d /newlib/libm/mathfp/sf_sine.c
parent1fd5e000ace55b323124c7e556a7a864b972a5c4 (diff)
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import newlib-2000-02-17 snapshot
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diff --git a/newlib/libm/mathfp/sf_sine.c b/newlib/libm/mathfp/sf_sine.c
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+
+/* @(#)z_sinef.c 1.0 98/08/13 */
+/******************************************************************
+ * The following routines are coded directly from the algorithms
+ * and coefficients given in "Software Manual for the Elementary
+ * Functions" by William J. Cody, Jr. and William Waite, Prentice
+ * Hall, 1980.
+ ******************************************************************/
+/******************************************************************
+ * sine generator
+ *
+ * Input:
+ * x - floating point value
+ * cosine - indicates cosine value
+ *
+ * Output:
+ * Sine of x.
+ *
+ * Description:
+ * This routine calculates sines and cosines.
+ *
+ *****************************************************************/
+
+#include "fdlibm.h"
+#include "zmath.h"
+
+static const float HALF_PI = 1.570796326;
+static const float ONE_OVER_PI = 0.318309886;
+static const float r[] = { -0.1666665668,
+ 0.8333025139e-02,
+ -0.1980741872e-03,
+ 0.2601903036e-5 };
+
+float
+_DEFUN (sinef, (float, int),
+ float x _AND
+ int cosine)
+{
+ int sgn, N;
+ float y, XN, g, R, res;
+ float YMAX = 210828714.0;
+
+ switch (numtestf (x))
+ {
+ case NAN:
+ errno = EDOM;
+ return (x);
+ case INF:
+ errno = EDOM;
+ return (z_notanum_f.f);
+ }
+
+ /* Use sin and cos properties to ease computations. */
+ if (cosine)
+ {
+ sgn = 1;
+ y = fabsf (x) + HALF_PI;
+ }
+ else
+ {
+ if (x < 0.0)
+ {
+ sgn = -1;
+ y = -x;
+ }
+ else
+ {
+ sgn = 1;
+ y = x;
+ }
+ }
+
+ /* Check for values of y that will overflow here. */
+ if (y > YMAX)
+ {
+ errno = ERANGE;
+ return (x);
+ }
+
+ /* Calculate the exponent. */
+ if (y < 0.0)
+ N = (int) (y * ONE_OVER_PI - 0.5);
+ else
+ N = (int) (y * ONE_OVER_PI + 0.5);
+ XN = (float) N;
+
+ if (N & 1)
+ sgn = -sgn;
+
+ if (cosine)
+ XN -= 0.5;
+
+ y = fabsf (x) - XN * __PI;
+
+ if (-z_rooteps_f < y && y < z_rooteps_f)
+ res = y;
+
+ else
+ {
+ g = y * y;
+
+ /* Calculate the Taylor series. */
+ R = (((r[3] * g + r[2]) * g + r[1]) * g + r[0]) * g;
+
+ /* Finally, compute the result. */
+ res = y + y * R;
+ }
+
+ res *= sgn;
+
+ return (res);
+}