Update to FreeBSD libm r336523.
This includes an ld128 powl, plus the clog* and cpow* families.
Also teach the NOTICE generator to strip SPDX-License-Identifier lines.
Bug: N/A
Test: ran tests
Change-Id: Ic8289d1253666a19468a4088884cf7540f1ec66d
diff --git a/libm/upstream-freebsd/lib/msun/src/e_j1.c b/libm/upstream-freebsd/lib/msun/src/e_j1.c
index b11ac2d..78bb329 100644
--- a/libm/upstream-freebsd/lib/msun/src/e_j1.c
+++ b/libm/upstream-freebsd/lib/msun/src/e_j1.c
@@ -1,4 +1,3 @@
-
/* @(#)e_j1.c 1.3 95/01/18 */
/*
* ====================================================
@@ -6,13 +5,13 @@
*
* Developed at SunSoft, a Sun Microsystems, Inc. business.
* Permission to use, copy, modify, and distribute this
- * software is freely granted, provided that this notice
+ * software is freely granted, provided that this notice
* is preserved.
* ====================================================
*/
#include <sys/cdefs.h>
-__FBSDID("$FreeBSD: head/lib/msun/src/e_j1.c 283032 2015-05-17 16:27:06Z kargl $");
+__FBSDID("$FreeBSD: head/lib/msun/src/e_j1.c 336089 2018-07-08 16:26:13Z markj $");
/* __ieee754_j1(x), __ieee754_y1(x)
* Bessel function of the first and second kinds of order zero.
@@ -34,16 +33,16 @@
* (To avoid cancellation, use
* sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x))
* to compute the worse one.)
- *
+ *
* 3 Special cases
* j1(nan)= nan
* j1(0) = 0
* j1(inf) = 0
- *
+ *
* Method -- y1(x):
- * 1. screen out x<=0 cases: y1(0)=-inf, y1(x<0)=NaN
+ * 1. screen out x<=0 cases: y1(0)=-inf, y1(x<0)=NaN
* 2. For x<2.
- * Since
+ * Since
* y1(x) = 2/pi*(j1(x)*(ln(x/2)+Euler)-1/x-x/2+5/64*x^3-...)
* therefore y1(x)-2/pi*j1(x)*ln(x)-1/x is an odd function.
* We use the following function to approximate y1,
@@ -154,7 +153,7 @@
* y1(Inf) = 0.
* y1(-Inf) = NaN and raise invalid exception.
*/
- if(ix>=0x7ff00000) return vone/(x+x*x);
+ if(ix>=0x7ff00000) return vone/(x+x*x);
/* y1(+-0) = -inf and raise divide-by-zero exception. */
if((ix|lx)==0) return -one/vzero;
/* y1(x<0) = NaN and raise invalid exception. */
@@ -186,10 +185,10 @@
z = invsqrtpi*(u*ss+v*cc)/sqrt(x);
}
return z;
- }
+ }
if(ix<=0x3c900000) { /* x < 2**-54 */
return(-tpi/x);
- }
+ }
z = x*x;
u = U0[0]+z*(U0[1]+z*(U0[2]+z*(U0[3]+z*U0[4])));
v = one+z*(V0[0]+z*(V0[1]+z*(V0[2]+z*(V0[3]+z*V0[4]))));
@@ -287,7 +286,7 @@
s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*q[4]))));
return one+ r/s;
}
-
+
/* For x >= 8, the asymptotic expansions of qone is
* 3/8 s - 105/1024 s^3 - ..., where s = 1/x.