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11210 libm should be cstyle(1ONBLD) clean
@@ -20,18 +20,19 @@
*/
/*
* Copyright 2011 Nexenta Systems, Inc. All rights reserved.
*/
+
/*
* Copyright 2006 Sun Microsystems, Inc. All rights reserved.
* Use is subject to license terms.
*/
#pragma weak __catanl = catanl
-/* INDENT OFF */
+
/*
* ldcomplex catanl(ldcomplex z);
*
* Atan(z) return A + Bi where,
* 1
@@ -97,35 +98,34 @@
* catan( inf, inf ) = (pi/2 , 0 )
* catan( NaN, inf ) = (NaN , 0 )
* catan( x , NaN ) = (NaN , NaN ) with invalid for finite x
* catan( inf, NaN ) = (pi/2 , +-0 )
*/
-/* INDENT ON */
#include "libm.h" /* atan2l/atanl/fabsl/isinfl/iszerol/log1pl/logl */
#include "complex_wrapper.h"
#include "longdouble.h"
-/* INDENT OFF */
-static const long double
-zero = 0.0L,
-one = 1.0L,
-two = 2.0L,
-half = 0.5L,
-ln2 = 6.931471805599453094172321214581765680755e-0001L,
-pi_2 = 1.570796326794896619231321691639751442098584699687552910487472L,
+/* BEGIN CSTYLED */
+static const long double zero = 0.0L,
+ one = 1.0L,
+ two = 2.0L,
+ half = 0.5L,
+ ln2 = 6.931471805599453094172321214581765680755e-0001L,
+ pi_2 = 1.570796326794896619231321691639751442098584699687552910487472L,
#if defined(__x86)
-E = 2.910383045673370361328125000000000000000e-11L, /* 2**-35 */
-Einv = 3.435973836800000000000000000000000000000e+10L; /* 2**+35 */
+ E = 2.910383045673370361328125000000000000000e-11L, /* 2**-35 */
+ Einv = 3.435973836800000000000000000000000000000e+10L; /* 2**+35 */
#else
-E = 8.673617379884035472059622406959533691406e-19L, /* 2**-60 */
-Einv = 1.152921504606846976000000000000000000000e18L; /* 2**+60 */
+ E = 8.673617379884035472059622406959533691406e-19L, /* 2**-60 */
+ Einv = 1.152921504606846976000000000000000000000e18L; /* 2**+60 */
#endif
-/* INDENT ON */
+/* END CSTYLED */
ldcomplex
-catanl(ldcomplex z) {
+catanl(ldcomplex z)
+{
ldcomplex ans;
long double x, y, t1, ax, ay, t;
int hx, hy, ix, iy;
x = LD_RE(z);
@@ -142,10 +142,11 @@
if (isinfl(x)) {
LD_RE(ans) = pi_2;
LD_IM(ans) = zero;
} else {
LD_RE(ans) = x + x;
+
if (iszerol(y) || (isinfl(y)))
LD_IM(ans) = zero;
else
LD_IM(ans) = (fabsl(y) - ay) / (fabsl(y) - ay);
}
@@ -157,23 +158,24 @@
} else {
LD_RE(ans) = (fabsl(x) - ax) / (fabsl(x) - ax);
LD_IM(ans) = y;
}
} else if (iszerol(x)) {
- /* INDENT OFF */
+ /* BEGIN CSTYLED */
/*
* x = 0
* 1 1
* A = --- * atan2(2x, 1-x*x-y*y) = --- atan2(0,1-|y|)
* 2 2
*
* 1 [ (y+1)*(y+1) ] 1 2 1 2y
* B = - log [ ----------- ] = - log (1+ ---) or - log(1+ ----)
* 4 [ (y-1)*(y-1) ] 2 y-1 2 1-y
*/
- /* INDENT ON */
+ /* END CSTYLED */
t = one - ay;
+
if (ay == one) {
/* y=1: catan(0,1)=(0,+inf) with 1/0 signal */
LD_IM(ans) = ay / ax;
LD_RE(ans) = zero;
} else if (ay > one) { /* y>1 */
@@ -182,11 +184,11 @@
} else { /* y<1 */
LD_IM(ans) = half * log1pl((ay + ay) / t);
LD_RE(ans) = zero;
}
} else if (ay < E * (one + ax)) {
- /* INDENT OFF */
+ /* BEGIN CSTYLED */
/*
* Tiny y (relative to 1+|x|)
* |y| < E*(1+|x|)
* where E=2**-29, -35, -60 for double, extended, quad precision
*
@@ -201,84 +203,87 @@
*
* y
* (when x < 2**-60, t = ----------- )
* (y-1)*(y-1)
*/
- /* INDENT ON */
- if (ay == zero)
+ /* END CSTYLED */
+ if (ay == zero) {
LD_IM(ans) = ay;
- else {
+ } else {
t1 = ay - one;
+
if (ix < 0x3fc30000)
t = ay / (t1 * t1);
else if (ix > 0x403b0000)
t = (ay / ax) / ax;
else
t = ay / (ax * ax + t1 * t1);
+
LD_IM(ans) = t * (one - two * t);
}
+
if (ix < 0x3fff0000)
LD_RE(ans) = atanl(ax);
else
LD_RE(ans) = half * atan2l(two, (one - ax) * (one +
one / ax));
-
} else if (ay > Einv * (one + ax)) {
- /* INDENT OFF */
+ /* BEGIN CSTYLED */
/*
* Huge y relative to 1+|x|
* |y| > Einv*(1+|x|), where Einv~2**(prec/2+3),
* 1
* A ~ --- * atan2(2x, -y*y) ~ pi/2
* 2
* y
* B ~ t*(1-2t), where t = --------------- is tiny
* (y-1)*(y-1)
*/
- /* INDENT ON */
+ /* END CSTYLED */
LD_RE(ans) = pi_2;
t = (ay / (ay - one)) / (ay - one);
LD_IM(ans) = t * (one - (t + t));
} else if (ay == one) {
- /* INDENT OFF */
+ /* BEGIN CSTYLED */
/*
* y=1
* 1 1
* A = - * atan2(2x, -x*x) = --- atan2(2,-x)
* 2 2
*
* 1 [ x*x+4] 1 4 [ 0.5(log2-logx) if
* B = - log [ -----] = - log (1+ ---) = [ |x|<E, else 0.25*
* 4 [ x*x ] 4 x*x [ log1p((2/x)*(2/x))
*/
- /* INDENT ON */
+ /* END CSTYLED */
LD_RE(ans) = half * atan2l(two, -ax);
- if (ax < E)
+
+ if (ax < E) {
LD_IM(ans) = half * (ln2 - logl(ax));
- else {
+ } else {
t = two / ax;
LD_IM(ans) = 0.25L * log1pl(t * t);
}
} else if (ax > Einv * Einv) {
- /* INDENT OFF */
+ /* BEGIN CSTYLED */
/*
* Huge x:
* when |x| > 1/E^2,
* 1 pi
* A ~ --- * atan2(2x, -x*x-y*y) ~ ---
* 2 2
* y y/x
* B ~ t*(1-2t), where t = --------------- = (-------------- )/x
* x*x+(y-1)*(y-1) 1+((y-1)/x)^2
*/
- /* INDENT ON */
+ /* END CSTYLED */
LD_RE(ans) = pi_2;
t = ((ay / ax) / (one + ((ay - one) / ax) * ((ay - one) /
ax))) / ax;
LD_IM(ans) = t * (one - (t + t));
} else if (ax < E * E * E * E) {
- /* INDENT OFF */
+ /* BEGIN CSTYLED */
/*
* Tiny x:
* when |x| < E^4, (note that y != 1)
* 1 1
* A = --- * atan2(2x, 1-x*x-y*y) ~ --- * atan2(2x,1-y*y)
@@ -286,44 +291,51 @@
*
* 1 [ (y+1)*(y+1) ] 1 2 1 2y
* B = - log [ ----------- ] = - log (1+ ---) or - log(1+ ----)
* 4 [ (y-1)*(y-1) ] 2 y-1 2 1-y
*/
- /* INDENT ON */
+ /* END CSTYLED */
LD_RE(ans) = half * atan2l(ax + ax, (one - ay) * (one + ay));
+
if (ay > one) /* y>1 */
LD_IM(ans) = half * log1pl(two / (ay - one));
else /* y<1 */
LD_IM(ans) = half * log1pl((ay + ay) / (one - ay));
} else {
- /* INDENT OFF */
+ /* BEGIN CSTYLED */
/*
* normal x,y
* 1
* A = --- * atan2(2x, 1-x*x-y*y)
* 2
*
* 1 [ x*x+(y+1)*(y+1) ] 1 4y
* B = - log [ --------------- ] = - log (1+ -----------------)
* 4 [ x*x+(y-1)*(y-1) ] 4 x*x + (y-1)*(y-1)
*/
- /* INDENT ON */
+ /* END CSTYLED */
t = one - ay;
+
if (iy >= 0x3ffe0000 && iy < 0x40000000) {
/* y close to 1 */
- LD_RE(ans) = half * (atan2l((ax + ax), (t * (one +
- ay) - ax * ax)));
+ LD_RE(ans) = half * (atan2l((ax + ax), (t * (one + ay) -
+ ax * ax)));
} else if (ix >= 0x3ffe0000 && ix < 0x40000000) {
/* x close to 1 */
LD_RE(ans) = half * atan2l((ax + ax), ((one - ax) *
(one + ax) - ay * ay));
- } else
- LD_RE(ans) = half * atan2l((ax + ax), ((one - ax *
- ax) - ay * ay));
+ } else {
+ LD_RE(ans) = half * atan2l((ax + ax), ((one - ax * ax) -
+ ay * ay));
+ }
+
LD_IM(ans) = 0.25L * log1pl((4.0L * ay) / (ax * ax + t * t));
}
+
if (hx < 0)
LD_RE(ans) = -LD_RE(ans);
+
if (hy < 0)
LD_IM(ans) = -LD_IM(ans);
+
return (ans);
}