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11210 libm should be cstyle(1ONBLD) clean
@@ -20,10 +20,11 @@
*/
/*
* Copyright 2011 Nexenta Systems, Inc. All rights reserved.
*/
+
/*
* Copyright 2006 Sun Microsystems, Inc. All rights reserved.
* Use is subject to license terms.
*/
@@ -31,44 +32,42 @@
#include "libm.h" /* asinl/atanl/fabsl/isinfl/log1pl/logl/sqrtl */
#include "complex_wrapper.h"
#include "longdouble.h"
-/* INDENT OFF */
-static const long double
-zero = 0.0L,
-one = 1.0L,
-Acrossover = 1.5L,
-Bcrossover = 0.6417L,
-half = 0.5L,
-ln2 = 6.931471805599453094172321214581765680755e-0001L,
-Foursqrtu = 7.3344154702193886624856495681939326638255e-2466L, /* 2**-8189 */
+/* BEGIN CSTYLED */
+static const long double zero = 0.0L,
+ one = 1.0L,
+ Acrossover = 1.5L,
+ Bcrossover = 0.6417L,
+ half = 0.5L,
+ ln2 = 6.931471805599453094172321214581765680755e-0001L,
+ Foursqrtu = 7.3344154702193886624856495681939326638255e-2466L, /* 2**-8189 */
#if defined(__x86)
-E = 5.4210108624275221700372640043497085571289e-20L, /* 2**-64 */
-pi_4 = 0.7853981633974483095739921312272713294078130L,
-pi_4_l = 4.1668714592604391641479322342670193036704898e-20L,
-pi_2 = 1.5707963267948966191479842624545426588156260L,
-pi_2_l = 8.3337429185208783282958644685340386073409796e-20L;
-
+ E = 5.4210108624275221700372640043497085571289e-20L, /* 2**-64 */
+ pi_4 = 0.7853981633974483095739921312272713294078130L,
+ pi_4_l = 4.1668714592604391641479322342670193036704898e-20L,
+ pi_2 = 1.5707963267948966191479842624545426588156260L,
+ pi_2_l = 8.3337429185208783282958644685340386073409796e-20L;
#else
-E = 9.6296497219361792652798897129246365926905e-35L, /* 2**-113 */
-pi_4 = 0.7853981633974483096156608458198756993697670L,
-pi_4_l = 2.1679525325309452561992610065108379921905808e-35L,
-pi_2 = 1.5707963267948966192313216916397513987395340L,
-pi_2_l = 4.3359050650618905123985220130216759843811616e-35L;
-
+ E = 9.6296497219361792652798897129246365926905e-35L, /* 2**-113 */
+ pi_4 = 0.7853981633974483096156608458198756993697670L,
+ pi_4_l = 2.1679525325309452561992610065108379921905808e-35L,
+ pi_2 = 1.5707963267948966192313216916397513987395340L,
+ pi_2_l = 4.3359050650618905123985220130216759843811616e-35L;
#endif
-/* INDENT ON */
+/* END CSTYLED */
#if defined(__x86)
static const int ip1 = 0x40400000; /* 2**65 */
#else
static const int ip1 = 0x40710000; /* 2**114 */
#endif
ldcomplex
-casinl(ldcomplex z) {
+casinl(ldcomplex z)
+{
long double x, y, t, R, S, A, Am1, B, y2, xm1, xp1, Apx;
int ix, iy, hx, hy;
ldcomplex ans;
x = LD_RE(z);
@@ -84,39 +83,43 @@
/* x is inf or NaN */
if (ix >= 0x7fff0000) { /* x is inf or NaN */
if (isinfl(x)) { /* x is INF */
LD_IM(ans) = x;
+
if (iy >= 0x7fff0000) {
if (isinfl(y))
/* casin(inf + i inf) = pi/4 + i inf */
LD_RE(ans) = pi_4 + pi_4_l;
else /* casin(inf + i NaN) = NaN + i inf */
LD_RE(ans) = y + y;
- } else /* casin(inf + iy) = pi/2 + i inf */
+ } else { /* casin(inf + iy) = pi/2 + i inf */
LD_RE(ans) = pi_2 + pi_2_l;
+ }
} else { /* x is NaN */
if (iy >= 0x7fff0000) {
- /* INDENT OFF */
+
/*
* casin(NaN + i inf) = NaN + i inf
* casin(NaN + i NaN) = NaN + i NaN
*/
- /* INDENT ON */
LD_IM(ans) = y + y;
LD_RE(ans) = x + x;
} else {
- /* INDENT OFF */
- /* casin(NaN + i y ) = NaN + i NaN */
- /* INDENT ON */
+ /*
+ * casin(NaN + i y ) = NaN + i NaN
+ */
LD_IM(ans) = LD_RE(ans) = x + y;
}
}
+
if (hx < 0)
LD_RE(ans) = -LD_RE(ans);
+
if (hy < 0)
LD_IM(ans) = -LD_IM(ans);
+
return (ans);
}
/* casin(+0 + i 0) = 0 + i 0. */
if (x == zero && y == zero)
@@ -126,34 +129,39 @@
if (isinfl(y)) { /* casin(x + i inf) = 0 + i inf */
LD_IM(ans) = y;
LD_RE(ans) = zero;
} else { /* casin(x + i NaN) = NaN + i NaN */
LD_IM(ans) = x + y;
+
if (x == zero)
LD_RE(ans) = x;
else
LD_RE(ans) = y;
}
+
if (hx < 0)
LD_RE(ans) = -LD_RE(ans);
+
if (hy < 0)
LD_IM(ans) = -LD_IM(ans);
+
return (ans);
}
if (y == zero) { /* region 1: y=0 */
if (ix < 0x3fff0000) { /* |x| < 1 */
LD_RE(ans) = asinl(x);
LD_IM(ans) = zero;
} else {
LD_RE(ans) = pi_2 + pi_2_l;
- if (ix >= ip1) /* |x| >= i386 ? 2**65 : 2**114 */
+
+ if (ix >= ip1) { /* |x| >= i386 ? 2**65 : 2**114 */
LD_IM(ans) = ln2 + logl(x);
- else if (ix >= 0x3fff8000) /* x > Acrossover */
+ } else if (ix >= 0x3fff8000) { /* x > Acrossover */
LD_IM(ans) = logl(x + sqrtl((x - one) * (x +
one)));
- else {
+ } else {
xm1 = x - one;
LD_IM(ans) = log1pl(xm1 + sqrtl(xm1 * (x +
one)));
}
}
@@ -161,10 +169,11 @@
if (ix < 0x3fff0000) { /* x < 1 */
LD_RE(ans) = asinl(x);
LD_IM(ans) = y / sqrtl((one + x) * (one - x));
} else {
LD_RE(ans) = pi_2 + pi_2_l;
+
if (ix >= ip1) /* i386 ? 2**65 : 2**114 */
LD_IM(ans) = ln2 + logl(x);
else if (ix >= 0x3fff8000) /* x > Acrossover */
LD_IM(ans) = logl(x + sqrtl((x - one) * (x +
one)));
@@ -186,10 +195,11 @@
LD_IM(ans) = ln2 + logl(y) + half * log1pl(t * t);
} else if (x < Foursqrtu) {
/* region 6: x is very small, < 4sqrt(min) */
A = sqrtl(one + y * y);
LD_RE(ans) = x / A; /* may underflow */
+
if (iy >= 0x3fff8000) /* if y > Acrossover */
LD_IM(ans) = logl(y + A);
else
LD_IM(ans) = half * log1pl((y + y) * (y + A));
} else { /* safe region */
@@ -198,35 +208,40 @@
xm1 = x - one;
R = sqrtl(xp1 * xp1 + y2);
S = sqrtl(xm1 * xm1 + y2);
A = half * (R + S);
B = x / A;
- if (B <= Bcrossover)
+
+ if (B <= Bcrossover) {
LD_RE(ans) = asinl(B);
- else { /* use atan and an accurate approx to a-x */
+ } else { /* use atan and an accurate approx to a-x */
Apx = A + x;
+
if (x <= one)
LD_RE(ans) = atanl(x / sqrtl(half * Apx * (y2 /
(R + xp1) + (S - xm1))));
else
LD_RE(ans) = atanl(x / (y * sqrtl(half * (Apx /
(R + xp1) + Apx / (S + xm1)))));
}
+
if (A <= Acrossover) {
/* use log1p and an accurate approx to A-1 */
if (x < one)
Am1 = half * (y2 / (R + xp1) + y2 / (S - xm1));
else
Am1 = half * (y2 / (R + xp1) + (S + xm1));
+
LD_IM(ans) = log1pl(Am1 + sqrtl(Am1 * (A + one)));
} else {
LD_IM(ans) = logl(A + sqrtl(A * A - one));
}
}
if (hx < 0)
LD_RE(ans) = -LD_RE(ans);
+
if (hy < 0)
LD_IM(ans) = -LD_IM(ans);
return (ans);
}