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11210 libm should be cstyle(1ONBLD) clean
@@ -20,16 +20,17 @@
*/
/*
* Copyright 2011 Nexenta Systems, Inc. All rights reserved.
*/
+
/*
* Copyright 2006 Sun Microsystems, Inc. All rights reserved.
* Use is subject to license terms.
*/
-/* INDENT OFF */
+
/*
* __k_tanl( long double x; long double y; int k )
* kernel tan/cotan function on [-pi/4, pi/4], pi/4 ~ 0.785398164
* Input x is assumed to be bounded by ~pi/4 in magnitude.
* Input y is the tail of x.
@@ -69,97 +70,112 @@
#include "libm.h"
#include <sys/isa_defs.h>
extern const long double _TBL_tanl_hi[], _TBL_tanl_lo[];
-static const long double
-one = 1.0,
+static const long double one = 1.0;
+
/*
* |sin(x) - (x+pp1*x^3+...+ pp5*x^11)| <= 2^-122.32 for |x|<1/64
*/
-pp1 = -1.666666666666666666666666666586782940810e-0001L,
-pp2 = 8.333333333333333333333003723660929317540e-0003L,
-pp3 = -1.984126984126984076045903483778337804470e-0004L,
-pp4 = 2.755731922361906641319723106210900949413e-0006L,
-pp5 = -2.505198398570947019093998469135012057673e-0008L,
+static const long double
+ pp1 = -1.666666666666666666666666666586782940810e-0001L,
+ pp2 = 8.333333333333333333333003723660929317540e-0003L,
+ pp3 = -1.984126984126984076045903483778337804470e-0004L,
+ pp4 = 2.755731922361906641319723106210900949413e-0006L,
+ pp5 = -2.505198398570947019093998469135012057673e-0008L;
+
/*
* 2 10 -123.84
* |cos(x) - (1+qq1*x +...+ qq5*x )| <= 2 for |x|<=1/128
*/
-qq1 = -4.999999999999999999999999999999378373641e-0001L,
-qq2 = 4.166666666666666666666665478399327703130e-0002L,
-qq3 = -1.388888888888888888058211230618051613494e-0003L,
-qq4 = 2.480158730156105377771585658905303111866e-0005L,
-qq5 = -2.755728099762526325736488376695157008736e-0007L,
+static const long double
+ qq1 = -4.999999999999999999999999999999378373641e-0001L,
+ qq2 = 4.166666666666666666666665478399327703130e-0002L,
+ qq3 = -1.388888888888888888058211230618051613494e-0003L,
+ qq4 = 2.480158730156105377771585658905303111866e-0005L,
+ qq5 = -2.755728099762526325736488376695157008736e-0007L;
+
/*
* |tan(x) - (x+t1*x^3+...+t6*x^13)|
* |------------------------------ | <= 2^-59.73 for |x|<0.15625
* | x |
*/
-t1 = 3.333333333333333333333333333333423342490e-0001L,
-t2 = 1.333333333333333333333333333093838744537e-0001L,
-t3 = 5.396825396825396825396827906318682662250e-0002L,
-t4 = 2.186948853615520282185576976994418486911e-0002L,
-t5 = 8.863235529902196573354554519991152936246e-0003L,
-t6 = 3.592128036572480064652191427543994878790e-0003L,
-t7 = 1.455834387051455257856833807581901305474e-0003L,
-t8 = 5.900274409318599857829983256201725587477e-0004L,
-t9 = 2.391291152117265181501116961901122362937e-0004L,
-t10 = 9.691533169382729742394024173194981882375e-0005L,
-t11 = 3.927994733186415603228178184225780859951e-0005L,
-t12 = 1.588300018848323824227640064883334101288e-0005L,
-t13 = 6.916271223396808311166202285131722231723e-0006L;
-/* INDENT ON */
+static const long double
+ t1 = 3.333333333333333333333333333333423342490e-0001L,
+ t2 = 1.333333333333333333333333333093838744537e-0001L,
+ t3 = 5.396825396825396825396827906318682662250e-0002L,
+ t4 = 2.186948853615520282185576976994418486911e-0002L,
+ t5 = 8.863235529902196573354554519991152936246e-0003L,
+ t6 = 3.592128036572480064652191427543994878790e-0003L,
+ t7 = 1.455834387051455257856833807581901305474e-0003L,
+ t8 = 5.900274409318599857829983256201725587477e-0004L,
+ t9 = 2.391291152117265181501116961901122362937e-0004L,
+ t10 = 9.691533169382729742394024173194981882375e-0005L,
+ t11 = 3.927994733186415603228178184225780859951e-0005L,
+ t12 = 1.588300018848323824227640064883334101288e-0005L,
+ t13 = 6.916271223396808311166202285131722231723e-0006L;
+
+
long double
-__k_tanl(long double x, long double y, int k) {
+__k_tanl(long double x, long double y, int k)
+{
long double a, t, z, w = 0.0, s, c;
- int *pt = (int *) &t, *px = (int *) &x;
+ int *pt = (int *)&t, *px = (int *)&x;
int i, j, hx, ix;
t = 1.0;
#if defined(__i386) || defined(__amd64)
XTOI(px, hx);
#else
hx = px[0];
#endif
ix = hx & 0x7fffffff;
+
if (ix < 0x3ffc4000) {
if (ix < 0x3fc60000) {
- if ((i = (int) x) == 0) /* generate inexact */
+ if ((i = (int)x) == 0) /* generate inexact */
w = x;
} else {
z = x * x;
- if (ix < 0x3ff30000) /* 2**-12 */
+
+ if (ix < 0x3ff30000) { /* 2**-12 */
t = z * (t1 + z * (t2 + z * (t3 + z * t4)));
- else
- t = z * (t1 + z * (t2 + z * (t3 + z * (t4 +
- z * (t5 + z * (t6 + z * (t7 + z *
- (t8 + z * (t9 + z * (t10 + z * (t11 +
- z * (t12 + z * t13))))))))))));
+ } else {
+ t = z * (t1 + z * (t2 + z * (t3 + z * (t4 + z *
+ (t5 + z * (t6 + z * (t7 + z * (t8 + z *
+ (t9 + z * (t10 + z * (t11 + z * (t12 + z *
+ t13))))))))))));
+ }
+
t = y + x * t;
w = x + t;
}
+
return (k == 0 ? w : -one / w);
}
+
j = (ix + 0x400) & 0x7ffff800;
i = (j - 0x3ffc4000) >> 11;
#if defined(__i386) || defined(__amd64)
ITOX(j, pt);
#else
pt[0] = j;
#endif
+
if (hx > 0)
x = y - (t - x);
else
x = (-y) - (t + x);
+
a = _TBL_tanl_hi[i];
z = x * x;
/* cos(x)-1 */
t = z * (qq1 + z * (qq2 + z * (qq3 + z * (qq4 + z * qq5))));
/* sin(x) */
- s = x * (one + z * (pp1 + z * (pp2 + z * (pp3 + z * (pp4 + z *
- pp5)))));
+ s = x * (one + z * (pp1 + z * (pp2 + z * (pp3 + z * (pp4 + z * pp5)))));
+
if (k == 0) {
w = a * s;
t = _TBL_tanl_lo[i] + (s + a * w) / (one - (w - t));
return (hx < 0 ? -a - t : a + t);
} else {