Sync with upstream FreeBSD libm.
Change-Id: I97e9b23903f1d993d84825806065e85626007d31
diff --git a/libm/upstream-freebsd/lib/msun/src/s_ccosh.c b/libm/upstream-freebsd/lib/msun/src/s_ccosh.c
index 9ea962b..e544e91 100644
--- a/libm/upstream-freebsd/lib/msun/src/s_ccosh.c
+++ b/libm/upstream-freebsd/lib/msun/src/s_ccosh.c
@@ -32,10 +32,12 @@
*
* Exceptional values are noted in the comments within the source code.
* These values and the return value were taken from n1124.pdf.
+ * The sign of the result for some exceptional values is unspecified but
+ * must satisfy both cosh(conj(z)) == conj(cosh(z)) and cosh(-z) == cosh(z).
*/
#include <sys/cdefs.h>
-__FBSDID("$FreeBSD$");
+__FBSDID("$FreeBSD: head/lib/msun/src/s_ccosh.c 284423 2015-06-15 20:11:06Z tijl $");
#include <complex.h>
#include <math.h>
@@ -62,49 +64,48 @@
/* Handle the nearly-non-exceptional cases where x and y are finite. */
if (ix < 0x7ff00000 && iy < 0x7ff00000) {
if ((iy | ly) == 0)
- return (cpack(cosh(x), x * y));
- if (ix < 0x40360000) /* small x: normal case */
- return (cpack(cosh(x) * cos(y), sinh(x) * sin(y)));
+ return (CMPLX(cosh(x), x * y));
+ if (ix < 0x40360000) /* |x| < 22: normal case */
+ return (CMPLX(cosh(x) * cos(y), sinh(x) * sin(y)));
/* |x| >= 22, so cosh(x) ~= exp(|x|) */
if (ix < 0x40862e42) {
/* x < 710: exp(|x|) won't overflow */
h = exp(fabs(x)) * 0.5;
- return (cpack(h * cos(y), copysign(h, x) * sin(y)));
+ return (CMPLX(h * cos(y), copysign(h, x) * sin(y)));
} else if (ix < 0x4096bbaa) {
/* x < 1455: scale to avoid overflow */
- z = __ldexp_cexp(cpack(fabs(x), y), -1);
- return (cpack(creal(z), cimag(z) * copysign(1, x)));
+ z = __ldexp_cexp(CMPLX(fabs(x), y), -1);
+ return (CMPLX(creal(z), cimag(z) * copysign(1, x)));
} else {
/* x >= 1455: the result always overflows */
h = huge * x;
- return (cpack(h * h * cos(y), h * sin(y)));
+ return (CMPLX(h * h * cos(y), h * sin(y)));
}
}
/*
- * cosh(+-0 +- I Inf) = dNaN + I sign(d(+-0, dNaN))0.
- * The sign of 0 in the result is unspecified. Choice = normally
- * the same as dNaN. Raise the invalid floating-point exception.
+ * cosh(+-0 +- I Inf) = dNaN + I (+-)(+-)0.
+ * The sign of 0 in the result is unspecified. Choice = product
+ * of the signs of the argument. Raise the invalid floating-point
+ * exception.
*
- * cosh(+-0 +- I NaN) = d(NaN) + I sign(d(+-0, NaN))0.
- * The sign of 0 in the result is unspecified. Choice = normally
- * the same as d(NaN).
+ * cosh(+-0 +- I NaN) = d(NaN) + I (+-)(+-)0.
+ * The sign of 0 in the result is unspecified. Choice = product
+ * of the signs of the argument.
*/
- if ((ix | lx) == 0 && iy >= 0x7ff00000)
- return (cpack(y - y, copysign(0, x * (y - y))));
+ if ((ix | lx) == 0) /* && iy >= 0x7ff00000 */
+ return (CMPLX(y - y, x * copysign(0, y)));
/*
* cosh(+-Inf +- I 0) = +Inf + I (+-)(+-)0.
*
- * cosh(NaN +- I 0) = d(NaN) + I sign(d(NaN, +-0))0.
- * The sign of 0 in the result is unspecified.
+ * cosh(NaN +- I 0) = d(NaN) + I (+-)(+-)0.
+ * The sign of 0 in the result is unspecified. Choice = product
+ * of the signs of the argument.
*/
- if ((iy | ly) == 0 && ix >= 0x7ff00000) {
- if (((hx & 0xfffff) | lx) == 0)
- return (cpack(x * x, copysign(0, x) * y));
- return (cpack(x * x, copysign(0, (x + x) * y)));
- }
+ if ((iy | ly) == 0) /* && ix >= 0x7ff00000 */
+ return (CMPLX(x * x, copysign(0, x) * y));
/*
* cosh(x +- I Inf) = dNaN + I dNaN.
@@ -114,8 +115,8 @@
* Optionally raises the invalid floating-point exception for finite
* nonzero x. Choice = don't raise (except for signaling NaNs).
*/
- if (ix < 0x7ff00000 && iy >= 0x7ff00000)
- return (cpack(y - y, x * (y - y)));
+ if (ix < 0x7ff00000) /* && iy >= 0x7ff00000 */
+ return (CMPLX(y - y, x * (y - y)));
/*
* cosh(+-Inf + I NaN) = +Inf + I d(NaN).
@@ -126,10 +127,10 @@
*
* cosh(+-Inf + I y) = +Inf cos(y) +- I Inf sin(y)
*/
- if (ix >= 0x7ff00000 && ((hx & 0xfffff) | lx) == 0) {
+ if (ix == 0x7ff00000 && lx == 0) {
if (iy >= 0x7ff00000)
- return (cpack(x * x, x * (y - y)));
- return (cpack((x * x) * cos(y), x * sin(y)));
+ return (CMPLX(INFINITY, x * (y - y)));
+ return (CMPLX(INFINITY * cos(y), x * sin(y)));
}
/*
@@ -143,7 +144,7 @@
* Optionally raises the invalid floating-point exception for finite
* nonzero y. Choice = don't raise (except for signaling NaNs).
*/
- return (cpack((x * x) * (y - y), (x + x) * (y - y)));
+ return (CMPLX((x * x) * (y - y), (x + x) * (y - y)));
}
double complex
@@ -151,5 +152,5 @@
{
/* ccos(z) = ccosh(I * z) */
- return (ccosh(cpack(-cimag(z), creal(z))));
+ return (ccosh(CMPLX(-cimag(z), creal(z))));
}