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-rw-r--r--lib/msun/src/k_cosf.c15
1 files changed, 7 insertions, 8 deletions
diff --git a/lib/msun/src/k_cosf.c b/lib/msun/src/k_cosf.c
index 5ce7608..5835b80 100644
--- a/lib/msun/src/k_cosf.c
+++ b/lib/msun/src/k_cosf.c
@@ -1,5 +1,6 @@
/* k_cosf.c -- float version of k_cos.c
* Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ * Debugged and optimized by Bruce D. Evans.
*/
/*
@@ -20,14 +21,12 @@ static char rcsid[] = "$FreeBSD$";
#include "math.h"
#include "math_private.h"
+/* Range of maximum relative error in polynomial: ~[-1.15e-10, 1.169e-10]. */
static const float
-one = 1.0000000000e+00, /* 0x3f800000 */
-C1 = 4.1666667908e-02, /* 0x3d2aaaab */
-C2 = -1.3888889225e-03, /* 0xbab60b61 */
-C3 = 2.4801587642e-05, /* 0x37d00d01 */
-C4 = -2.7557314297e-07, /* 0xb493f27c */
-C5 = 2.0875723372e-09, /* 0x310f74f6 */
-C6 = -1.1359647598e-11; /* 0xad47d74e */
+one = 1.0,
+C1 = 0xaaaaa5.0p-28, /* 0.04166664555668830871582031250 */
+C2 = -0xb60615.0p-33, /* -0.001388731063343584537506103516 */
+C3 = 0xccf47d.0p-39; /* 0.00002443254288664320483803749084 */
float
__kernel_cosf(float x, float y)
@@ -35,7 +34,7 @@ __kernel_cosf(float x, float y)
float hz,z,r,w;
z = x*x;
- r = z*(C1+z*(C2+z*(C3+z*(C4+z*(C5+z*C6)))));
+ r = z*(C1+z*(C2+z*C3));
hz = (float)0.5*z;
w = one-hz;
return w + (((one-w)-hz) + (z*r-x*y));
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