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-rw-r--r--ChangeLog25
-rw-r--r--NEWS20
-rw-r--r--math/libm-test.inc4
-rw-r--r--sysdeps/i386/fpu/fenv_private.h1
-rw-r--r--sysdeps/i386/fpu/libm-test-ulps24
-rw-r--r--sysdeps/ieee754/dbl-64/e_jn.c117
-rw-r--r--sysdeps/ieee754/flt-32/e_jnf.c16
-rw-r--r--sysdeps/ieee754/ldbl-128/e_jnl.c139
-rw-r--r--sysdeps/ieee754/ldbl-128ibm/e_jnl.c143
-rw-r--r--sysdeps/ieee754/ldbl-96/e_jnl.c137
-rw-r--r--sysdeps/x86_64/fpu/libm-test-ulps24
11 files changed, 389 insertions, 261 deletions
diff --git a/ChangeLog b/ChangeLog
index 83ef754..027bf9d 100644
--- a/ChangeLog
+++ b/ChangeLog
@@ -1,3 +1,28 @@
+2014-06-27 Joseph Myers <joseph@codesourcery.com>
+
+ [BZ #16561]
+ [BZ #16562]
+ * sysdeps/ieee754/dbl-64/e_jn.c: Include <float.h>.
+ (__ieee754_yn): Set FE_TONEAREST mode internally and then
+ recompute overflowing results in original rounding mode.
+ * sysdeps/ieee754/flt-32/e_jnf.c: Include <float.h>.
+ (__ieee754_ynf): Set FE_TONEAREST mode internally and then
+ recompute overflowing results in original rounding mode.
+ * sysdeps/ieee754/ldbl-128/e_jnl.c: Include <float.h>.
+ (__ieee754_ynl): Set FE_TONEAREST mode internally and then
+ recompute overflowing results in original rounding mode.
+ * sysdeps/ieee754/ldbl-128ibm/e_jnl.c: Include <float.h>.
+ (__ieee754_ynl): Set FE_TONEAREST mode internally and then
+ recompute overflowing results in original rounding mode.
+ * sysdeps/ieee754/ldbl-96/e_jnl.c: Include <float.h>.
+ (__ieee754_ynl): Set FE_TONEAREST mode internally and then
+ recompute overflowing results in original rounding mode.
+ * sysdeps/i386/fpu/fenv_private.h [!__SSE2_MATH__]
+ (libc_feholdsetround_ctx): New macro.
+ * math/libm-test.inc (yn_test): Use ALL_RM_TEST.
+ * sysdeps/i386/fpu/libm-test-ulps: Update.
+ * sysdeps/x86_64/fpu/libm-test-ulps : Likewise.
+
2014-06-26 Joseph Myers <joseph@codesourcery.com>
* sysdeps/unix/sysv/linux/mips/mips64/nptl/sysdep-cancel.h
diff --git a/NEWS b/NEWS
index e854c251..7663f01 100644
--- a/NEWS
+++ b/NEWS
@@ -12,16 +12,16 @@ Version 2.20
6804, 9894, 12994, 13347, 13651, 14308, 14770, 15119, 15132, 15347, 15514,
15698, 15804, 15894, 15946, 16002, 16064, 16095, 16198, 16284, 16287,
16315, 16348, 16349, 16354, 16357, 16362, 16447, 16516, 16532, 16539,
- 16545, 16564, 16574, 16599, 16600, 16609, 16610, 16611, 16613, 16619,
- 16623, 16629, 16632, 16634, 16639, 16642, 16648, 16649, 16670, 16674,
- 16677, 16680, 16681, 16683, 16689, 16695, 16701, 16706, 16707, 16712,
- 16713, 16714, 16724, 16731, 16739, 16740, 16743, 16754, 16758, 16759,
- 16760, 16770, 16786, 16789, 16791, 16796, 16799, 16800, 16815, 16823,
- 16824, 16831, 16838, 16849, 16854, 16876, 16877, 16878, 16882, 16885,
- 16888, 16890, 16912, 16915, 16916, 16917, 16918, 16922, 16927, 16928,
- 16932, 16943, 16958, 16965, 16966, 16967, 16977, 16978, 16984, 16990,
- 16996, 17009, 17022, 17031, 17042, 17048, 17050, 17058, 17061, 17062,
- 17069, 17075, 17079, 17084, 17086.
+ 16545, 16561, 16562, 16564, 16574, 16599, 16600, 16609, 16610, 16611,
+ 16613, 16619, 16623, 16629, 16632, 16634, 16639, 16642, 16648, 16649,
+ 16670, 16674, 16677, 16680, 16681, 16683, 16689, 16695, 16701, 16706,
+ 16707, 16712, 16713, 16714, 16724, 16731, 16739, 16740, 16743, 16754,
+ 16758, 16759, 16760, 16770, 16786, 16789, 16791, 16796, 16799, 16800,
+ 16815, 16823, 16824, 16831, 16838, 16849, 16854, 16876, 16877, 16878,
+ 16882, 16885, 16888, 16890, 16912, 16915, 16916, 16917, 16918, 16922,
+ 16927, 16928, 16932, 16943, 16958, 16965, 16966, 16967, 16977, 16978,
+ 16984, 16990, 16996, 17009, 17022, 17031, 17042, 17048, 17050, 17058,
+ 17061, 17062, 17069, 17075, 17079, 17084, 17086.
* Optimized strchr implementation for AArch64. Contributed by ARM Ltd.
diff --git a/math/libm-test.inc b/math/libm-test.inc
index 45eaaef..f86a4fa 100644
--- a/math/libm-test.inc
+++ b/math/libm-test.inc
@@ -9609,9 +9609,7 @@ static const struct test_if_f_data yn_test_data[] =
static void
yn_test (void)
{
- START (yn, 0);
- RUN_TEST_LOOP_if_f (yn, yn_test_data, );
- END;
+ ALL_RM_TEST (yn, 0, yn_test_data, RUN_TEST_LOOP_if_f, END);
}
diff --git a/sysdeps/i386/fpu/fenv_private.h b/sysdeps/i386/fpu/fenv_private.h
index 3998387..e20e1f1 100644
--- a/sysdeps/i386/fpu/fenv_private.h
+++ b/sysdeps/i386/fpu/fenv_private.h
@@ -482,6 +482,7 @@ libc_feupdateenv_387_ctx (struct rm_ctx *ctx)
#else
# define libc_feholdexcept_setround_ctx libc_feholdexcept_setround_387_ctx
# define libc_feupdateenv_ctx libc_feupdateenv_387_ctx
+# define libc_feholdsetround_ctx libc_feholdsetround_387_ctx
# define libc_feresetround_ctx libc_feresetround_387_ctx
#endif /* __SSE2_MATH__ */
diff --git a/sysdeps/i386/fpu/libm-test-ulps b/sysdeps/i386/fpu/libm-test-ulps
index 7cf9586..be0e7c3 100644
--- a/sysdeps/i386/fpu/libm-test-ulps
+++ b/sysdeps/i386/fpu/libm-test-ulps
@@ -1931,4 +1931,28 @@ ifloat: 3
ildouble: 4
ldouble: 4
+Function: "yn_downward":
+double: 2
+float: 2
+idouble: 2
+ifloat: 2
+ildouble: 5
+ldouble: 5
+
+Function: "yn_towardzero":
+double: 2
+float: 3
+idouble: 2
+ifloat: 3
+ildouble: 5
+ldouble: 5
+
+Function: "yn_upward":
+double: 2
+float: 3
+idouble: 2
+ifloat: 3
+ildouble: 4
+ldouble: 4
+
# end of automatic generation
diff --git a/sysdeps/ieee754/dbl-64/e_jn.c b/sysdeps/ieee754/dbl-64/e_jn.c
index 236878b..bbe0426 100644
--- a/sysdeps/ieee754/dbl-64/e_jn.c
+++ b/sysdeps/ieee754/dbl-64/e_jn.c
@@ -37,6 +37,7 @@
*/
#include <errno.h>
+#include <float.h>
#include <math.h>
#include <math_private.h>
@@ -248,7 +249,7 @@ __ieee754_yn (int n, double x)
{
int32_t i, hx, ix, lx;
int32_t sign;
- double a, b, temp;
+ double a, b, temp, ret;
EXTRACT_WORDS (hx, lx, x);
ix = 0x7fffffff & hx;
@@ -268,57 +269,67 @@ __ieee754_yn (int n, double x)
}
if (n == 0)
return (__ieee754_y0 (x));
- if (n == 1)
- return (sign * __ieee754_y1 (x));
- if (__glibc_unlikely (ix == 0x7ff00000))
- return zero;
- if (ix >= 0x52D00000) /* x > 2**302 */
- { /* (x >> n**2)
- * Jn(x) = cos(x-(2n+1)*pi/4)*sqrt(2/x*pi)
- * Yn(x) = sin(x-(2n+1)*pi/4)*sqrt(2/x*pi)
- * Let s=sin(x), c=cos(x),
- * xn=x-(2n+1)*pi/4, sqt2 = sqrt(2),then
- *
- * n sin(xn)*sqt2 cos(xn)*sqt2
- * ----------------------------------
- * 0 s-c c+s
- * 1 -s-c -c+s
- * 2 -s+c -c-s
- * 3 s+c c-s
- */
- double c;
- double s;
- __sincos (x, &s, &c);
- switch (n & 3)
- {
- case 0: temp = s - c; break;
- case 1: temp = -s - c; break;
- case 2: temp = -s + c; break;
- case 3: temp = s + c; break;
- }
- b = invsqrtpi * temp / __ieee754_sqrt (x);
- }
- else
- {
- u_int32_t high;
- a = __ieee754_y0 (x);
- b = __ieee754_y1 (x);
- /* quit if b is -inf */
- GET_HIGH_WORD (high, b);
- for (i = 1; i < n && high != 0xfff00000; i++)
- {
- temp = b;
- b = ((double) (i + i) / x) * b - a;
- GET_HIGH_WORD (high, b);
- a = temp;
- }
- /* If B is +-Inf, set up errno accordingly. */
- if (!__finite (b))
- __set_errno (ERANGE);
- }
- if (sign > 0)
- return b;
- else
- return -b;
+ {
+ SET_RESTORE_ROUND (FE_TONEAREST);
+ if (n == 1)
+ {
+ ret = sign * __ieee754_y1 (x);
+ goto out;
+ }
+ if (__glibc_unlikely (ix == 0x7ff00000))
+ return zero;
+ if (ix >= 0x52D00000) /* x > 2**302 */
+ { /* (x >> n**2)
+ * Jn(x) = cos(x-(2n+1)*pi/4)*sqrt(2/x*pi)
+ * Yn(x) = sin(x-(2n+1)*pi/4)*sqrt(2/x*pi)
+ * Let s=sin(x), c=cos(x),
+ * xn=x-(2n+1)*pi/4, sqt2 = sqrt(2),then
+ *
+ * n sin(xn)*sqt2 cos(xn)*sqt2
+ * ----------------------------------
+ * 0 s-c c+s
+ * 1 -s-c -c+s
+ * 2 -s+c -c-s
+ * 3 s+c c-s
+ */
+ double c;
+ double s;
+ __sincos (x, &s, &c);
+ switch (n & 3)
+ {
+ case 0: temp = s - c; break;
+ case 1: temp = -s - c; break;
+ case 2: temp = -s + c; break;
+ case 3: temp = s + c; break;
+ }
+ b = invsqrtpi * temp / __ieee754_sqrt (x);
+ }
+ else
+ {
+ u_int32_t high;
+ a = __ieee754_y0 (x);
+ b = __ieee754_y1 (x);
+ /* quit if b is -inf */
+ GET_HIGH_WORD (high, b);
+ for (i = 1; i < n && high != 0xfff00000; i++)
+ {
+ temp = b;
+ b = ((double) (i + i) / x) * b - a;
+ GET_HIGH_WORD (high, b);
+ a = temp;
+ }
+ /* If B is +-Inf, set up errno accordingly. */
+ if (!__finite (b))
+ __set_errno (ERANGE);
+ }
+ if (sign > 0)
+ ret = b;
+ else
+ ret = -b;
+ }
+ out:
+ if (__isinf (ret))
+ ret = __copysign (DBL_MAX, ret) * DBL_MAX;
+ return ret;
}
strong_alias (__ieee754_yn, __yn_finite)
diff --git a/sysdeps/ieee754/flt-32/e_jnf.c b/sysdeps/ieee754/flt-32/e_jnf.c
index 5984d94..86085cc 100644
--- a/sysdeps/ieee754/flt-32/e_jnf.c
+++ b/sysdeps/ieee754/flt-32/e_jnf.c
@@ -14,6 +14,7 @@
*/
#include <errno.h>
+#include <float.h>
#include <math.h>
#include <math_private.h>
@@ -169,6 +170,8 @@ strong_alias (__ieee754_jnf, __jnf_finite)
float
__ieee754_ynf(int n, float x)
{
+ float ret;
+ {
int32_t i,hx,ix;
u_int32_t ib;
int32_t sign;
@@ -187,7 +190,11 @@ __ieee754_ynf(int n, float x)
sign = 1 - ((n&1)<<1);
}
if(n==0) return(__ieee754_y0f(x));
- if(n==1) return(sign*__ieee754_y1f(x));
+ SET_RESTORE_ROUNDF (FE_TONEAREST);
+ if(n==1) {
+ ret = sign*__ieee754_y1f(x);
+ goto out;
+ }
if(__builtin_expect(ix==0x7f800000, 0)) return zero;
a = __ieee754_y0f(x);
@@ -203,6 +210,11 @@ __ieee754_ynf(int n, float x)
/* If B is +-Inf, set up errno accordingly. */
if (! __finitef (b))
__set_errno (ERANGE);
- if(sign>0) return b; else return -b;
+ if(sign>0) ret = b; else ret = -b;
+ }
+ out:
+ if (__isinff (ret))
+ ret = __copysignf (FLT_MAX, ret) * FLT_MAX;
+ return ret;
}
strong_alias (__ieee754_ynf, __ynf_finite)
diff --git a/sysdeps/ieee754/ldbl-128/e_jnl.c b/sysdeps/ieee754/ldbl-128/e_jnl.c
index c2a4923..4e32d38 100644
--- a/sysdeps/ieee754/ldbl-128/e_jnl.c
+++ b/sysdeps/ieee754/ldbl-128/e_jnl.c
@@ -57,6 +57,7 @@
*/
#include <errno.h>
+#include <float.h>
#include <math.h>
#include <math_private.h>
@@ -300,7 +301,7 @@ __ieee754_ynl (int n, long double x)
u_int32_t se;
int32_t i, ix;
int32_t sign;
- long double a, b, temp;
+ long double a, b, temp, ret;
ieee854_long_double_shape_type u;
u.value = x;
@@ -328,70 +329,80 @@ __ieee754_ynl (int n, long double x)
}
if (n == 0)
return (__ieee754_y0l (x));
- if (n == 1)
- return (sign * __ieee754_y1l (x));
- if (ix >= 0x7fff0000)
- return zero;
- if (ix >= 0x412D0000)
- { /* x > 2**302 */
+ {
+ SET_RESTORE_ROUNDL (FE_TONEAREST);
+ if (n == 1)
+ {
+ ret = sign * __ieee754_y1l (x);
+ goto out;
+ }
+ if (ix >= 0x7fff0000)
+ return zero;
+ if (ix >= 0x412D0000)
+ { /* x > 2**302 */
- /* ??? See comment above on the possible futility of this. */
+ /* ??? See comment above on the possible futility of this. */
- /* (x >> n**2)
- * Jn(x) = cos(x-(2n+1)*pi/4)*sqrt(2/x*pi)
- * Yn(x) = sin(x-(2n+1)*pi/4)*sqrt(2/x*pi)
- * Let s=sin(x), c=cos(x),
- * xn=x-(2n+1)*pi/4, sqt2 = sqrt(2),then
- *
- * n sin(xn)*sqt2 cos(xn)*sqt2
- * ----------------------------------
- * 0 s-c c+s
- * 1 -s-c -c+s
- * 2 -s+c -c-s
- * 3 s+c c-s
- */
- long double s;
- long double c;
- __sincosl (x, &s, &c);
- switch (n & 3)
- {
- case 0:
- temp = s - c;
- break;
- case 1:
- temp = -s - c;
- break;
- case 2:
- temp = -s + c;
- break;
- case 3:
- temp = s + c;
- break;
- }
- b = invsqrtpi * temp / __ieee754_sqrtl (x);
- }
- else
- {
- a = __ieee754_y0l (x);
- b = __ieee754_y1l (x);
- /* quit if b is -inf */
- u.value = b;
- se = u.parts32.w0 & 0xffff0000;
- for (i = 1; i < n && se != 0xffff0000; i++)
- {
- temp = b;
- b = ((long double) (i + i) / x) * b - a;
- u.value = b;
- se = u.parts32.w0 & 0xffff0000;
- a = temp;
- }
- }
- /* If B is +-Inf, set up errno accordingly. */
- if (! __finitel (b))
- __set_errno (ERANGE);
- if (sign > 0)
- return b;
- else
- return -b;
+ /* (x >> n**2)
+ * Jn(x) = cos(x-(2n+1)*pi/4)*sqrt(2/x*pi)
+ * Yn(x) = sin(x-(2n+1)*pi/4)*sqrt(2/x*pi)
+ * Let s=sin(x), c=cos(x),
+ * xn=x-(2n+1)*pi/4, sqt2 = sqrt(2),then
+ *
+ * n sin(xn)*sqt2 cos(xn)*sqt2
+ * ----------------------------------
+ * 0 s-c c+s
+ * 1 -s-c -c+s
+ * 2 -s+c -c-s
+ * 3 s+c c-s
+ */
+ long double s;
+ long double c;
+ __sincosl (x, &s, &c);
+ switch (n & 3)
+ {
+ case 0:
+ temp = s - c;
+ break;
+ case 1:
+ temp = -s - c;
+ break;
+ case 2:
+ temp = -s + c;
+ break;
+ case 3:
+ temp = s + c;
+ break;
+ }
+ b = invsqrtpi * temp / __ieee754_sqrtl (x);
+ }
+ else
+ {
+ a = __ieee754_y0l (x);
+ b = __ieee754_y1l (x);
+ /* quit if b is -inf */
+ u.value = b;
+ se = u.parts32.w0 & 0xffff0000;
+ for (i = 1; i < n && se != 0xffff0000; i++)
+ {
+ temp = b;
+ b = ((long double) (i + i) / x) * b - a;
+ u.value = b;
+ se = u.parts32.w0 & 0xffff0000;
+ a = temp;
+ }
+ }
+ /* If B is +-Inf, set up errno accordingly. */
+ if (! __finitel (b))
+ __set_errno (ERANGE);
+ if (sign > 0)
+ ret = b;
+ else
+ ret = -b;
+ }
+ out:
+ if (__isinfl (ret))
+ ret = __copysignl (LDBL_MAX, ret) * LDBL_MAX;
+ return ret;
}
strong_alias (__ieee754_ynl, __ynl_finite)
diff --git a/sysdeps/ieee754/ldbl-128ibm/e_jnl.c b/sysdeps/ieee754/ldbl-128ibm/e_jnl.c
index 6761a0d..589f1f8 100644
--- a/sysdeps/ieee754/ldbl-128ibm/e_jnl.c
+++ b/sysdeps/ieee754/ldbl-128ibm/e_jnl.c
@@ -57,6 +57,7 @@
*/
#include <errno.h>
+#include <float.h>
#include <math.h>
#include <math_private.h>
@@ -300,7 +301,7 @@ __ieee754_ynl (int n, long double x)
uint32_t se, lx;
int32_t i, ix;
int32_t sign;
- long double a, b, temp;
+ long double a, b, temp, ret;
double xhi;
xhi = ldbl_high (x);
@@ -328,72 +329,82 @@ __ieee754_ynl (int n, long double x)
}
if (n == 0)
return (__ieee754_y0l (x));
- if (n == 1)
- return (sign * __ieee754_y1l (x));
- if (ix >= 0x7ff00000)
- return zero;
- if (ix >= 0x52D00000)
- { /* x > 2**302 */
+ {
+ SET_RESTORE_ROUNDL (FE_TONEAREST);
+ if (n == 1)
+ {
+ ret = sign * __ieee754_y1l (x);
+ goto out;
+ }
+ if (ix >= 0x7ff00000)
+ return zero;
+ if (ix >= 0x52D00000)
+ { /* x > 2**302 */
- /* ??? See comment above on the possible futility of this. */
+ /* ??? See comment above on the possible futility of this. */
- /* (x >> n**2)
- * Jn(x) = cos(x-(2n+1)*pi/4)*sqrt(2/x*pi)
- * Yn(x) = sin(x-(2n+1)*pi/4)*sqrt(2/x*pi)
- * Let s=sin(x), c=cos(x),
- * xn=x-(2n+1)*pi/4, sqt2 = sqrt(2),then
- *
- * n sin(xn)*sqt2 cos(xn)*sqt2
- * ----------------------------------
- * 0 s-c c+s
- * 1 -s-c -c+s
- * 2 -s+c -c-s
- * 3 s+c c-s
- */
- long double s;
- long double c;
- __sincosl (x, &s, &c);
- switch (n & 3)
- {
- case 0:
- temp = s - c;
- break;
- case 1:
- temp = -s - c;
- break;
- case 2:
- temp = -s + c;
- break;
- case 3:
- temp = s + c;
- break;
- }
- b = invsqrtpi * temp / __ieee754_sqrtl (x);
- }
- else
- {
- a = __ieee754_y0l (x);
- b = __ieee754_y1l (x);
- /* quit if b is -inf */
- xhi = ldbl_high (b);
- GET_HIGH_WORD (se, xhi);
- se &= 0xfff00000;
- for (i = 1; i < n && se != 0xfff00000; i++)
- {
- temp = b;
- b = ((long double) (i + i) / x) * b - a;
- xhi = ldbl_high (b);
- GET_HIGH_WORD (se, xhi);
- se &= 0xfff00000;
- a = temp;
- }
- }
- /* If B is +-Inf, set up errno accordingly. */
- if (! __finitel (b))
- __set_errno (ERANGE);
- if (sign > 0)
- return b;
- else
- return -b;
+ /* (x >> n**2)
+ * Jn(x) = cos(x-(2n+1)*pi/4)*sqrt(2/x*pi)
+ * Yn(x) = sin(x-(2n+1)*pi/4)*sqrt(2/x*pi)
+ * Let s=sin(x), c=cos(x),
+ * xn=x-(2n+1)*pi/4, sqt2 = sqrt(2),then
+ *
+ * n sin(xn)*sqt2 cos(xn)*sqt2
+ * ----------------------------------
+ * 0 s-c c+s
+ * 1 -s-c -c+s
+ * 2 -s+c -c-s
+ * 3 s+c c-s
+ */
+ long double s;
+ long double c;
+ __sincosl (x, &s, &c);
+ switch (n & 3)
+ {
+ case 0:
+ temp = s - c;
+ break;
+ case 1:
+ temp = -s - c;
+ break;
+ case 2:
+ temp = -s + c;
+ break;
+ case 3:
+ temp = s + c;
+ break;
+ }
+ b = invsqrtpi * temp / __ieee754_sqrtl (x);
+ }
+ else
+ {
+ a = __ieee754_y0l (x);
+ b = __ieee754_y1l (x);
+ /* quit if b is -inf */
+ xhi = ldbl_high (b);
+ GET_HIGH_WORD (se, xhi);
+ se &= 0xfff00000;
+ for (i = 1; i < n && se != 0xfff00000; i++)
+ {
+ temp = b;
+ b = ((long double) (i + i) / x) * b - a;
+ xhi = ldbl_high (b);
+ GET_HIGH_WORD (se, xhi);
+ se &= 0xfff00000;
+ a = temp;
+ }
+ }
+ /* If B is +-Inf, set up errno accordingly. */
+ if (! __finitel (b))
+ __set_errno (ERANGE);
+ if (sign > 0)
+ ret = b;
+ else
+ ret = -b;
+ }
+ out:
+ if (__isinfl (ret))
+ ret = __copysignl (LDBL_MAX, ret) * LDBL_MAX;
+ return ret;
}
strong_alias (__ieee754_ynl, __ynl_finite)
diff --git a/sysdeps/ieee754/ldbl-96/e_jnl.c b/sysdeps/ieee754/ldbl-96/e_jnl.c
index 11d097c..95ff242 100644
--- a/sysdeps/ieee754/ldbl-96/e_jnl.c
+++ b/sysdeps/ieee754/ldbl-96/e_jnl.c
@@ -57,6 +57,7 @@
*/
#include <errno.h>
+#include <float.h>
#include <math.h>
#include <math_private.h>
@@ -293,7 +294,7 @@ __ieee754_ynl (int n, long double x)
u_int32_t se, i0, i1;
int32_t i, ix;
int32_t sign;
- long double a, b, temp;
+ long double a, b, temp, ret;
GET_LDOUBLE_WORDS (se, i0, i1, x);
@@ -314,69 +315,79 @@ __ieee754_ynl (int n, long double x)
}
if (n == 0)
return (__ieee754_y0l (x));
- if (n == 1)
- return (sign * __ieee754_y1l (x));
- if (__glibc_unlikely (ix == 0x7fff))
- return zero;
- if (ix >= 0x412D)
- { /* x > 2**302 */
+ {
+ SET_RESTORE_ROUNDL (FE_TONEAREST);
+ if (n == 1)
+ {
+ ret = sign * __ieee754_y1l (x);
+ goto out;
+ }
+ if (__glibc_unlikely (ix == 0x7fff))
+ return zero;
+ if (ix >= 0x412D)
+ { /* x > 2**302 */
- /* ??? See comment above on the possible futility of this. */
+ /* ??? See comment above on the possible futility of this. */
- /* (x >> n**2)
- * Jn(x) = cos(x-(2n+1)*pi/4)*sqrt(2/x*pi)
- * Yn(x) = sin(x-(2n+1)*pi/4)*sqrt(2/x*pi)
- * Let s=sin(x), c=cos(x),
- * xn=x-(2n+1)*pi/4, sqt2 = sqrt(2),then
- *
- * n sin(xn)*sqt2 cos(xn)*sqt2
- * ----------------------------------
- * 0 s-c c+s
- * 1 -s-c -c+s
- * 2 -s+c -c-s
- * 3 s+c c-s
- */
- long double s;
- long double c;
- __sincosl (x, &s, &c);
- switch (n & 3)
- {
- case 0:
- temp = s - c;
- break;
- case 1:
- temp = -s - c;
- break;
- case 2:
- temp = -s + c;
- break;
- case 3:
- temp = s + c;
- break;
- }
- b = invsqrtpi * temp / __ieee754_sqrtl (x);
- }
- else
- {
- a = __ieee754_y0l (x);
- b = __ieee754_y1l (x);
- /* quit if b is -inf */
- GET_LDOUBLE_WORDS (se, i0, i1, b);
- /* Use 0xffffffff since GET_LDOUBLE_WORDS sign-extends SE. */
- for (i = 1; i < n && se != 0xffffffff; i++)
- {
- temp = b;
- b = ((long double) (i + i) / x) * b - a;
- GET_LDOUBLE_WORDS (se, i0, i1, b);
- a = temp;
- }
- }
- /* If B is +-Inf, set up errno accordingly. */
- if (! __finitel (b))
- __set_errno (ERANGE);
- if (sign > 0)
- return b;
- else
- return -b;
+ /* (x >> n**2)
+ * Jn(x) = cos(x-(2n+1)*pi/4)*sqrt(2/x*pi)
+ * Yn(x) = sin(x-(2n+1)*pi/4)*sqrt(2/x*pi)
+ * Let s=sin(x), c=cos(x),
+ * xn=x-(2n+1)*pi/4, sqt2 = sqrt(2),then
+ *
+ * n sin(xn)*sqt2 cos(xn)*sqt2
+ * ----------------------------------
+ * 0 s-c c+s
+ * 1 -s-c -c+s
+ * 2 -s+c -c-s
+ * 3 s+c c-s
+ */
+ long double s;
+ long double c;
+ __sincosl (x, &s, &c);
+ switch (n & 3)
+ {
+ case 0:
+ temp = s - c;
+ break;
+ case 1:
+ temp = -s - c;
+ break;
+ case 2:
+ temp = -s + c;
+ break;
+ case 3:
+ temp = s + c;
+ break;
+ }
+ b = invsqrtpi * temp / __ieee754_sqrtl (x);
+ }
+ else
+ {
+ a = __ieee754_y0l (x);
+ b = __ieee754_y1l (x);
+ /* quit if b is -inf */
+ GET_LDOUBLE_WORDS (se, i0, i1, b);
+ /* Use 0xffffffff since GET_LDOUBLE_WORDS sign-extends SE. */
+ for (i = 1; i < n && se != 0xffffffff; i++)
+ {
+ temp = b;
+ b = ((long double) (i + i) / x) * b - a;
+ GET_LDOUBLE_WORDS (se, i0, i1, b);
+ a = temp;
+ }
+ }
+ /* If B is +-Inf, set up errno accordingly. */
+ if (! __finitel (b))
+ __set_errno (ERANGE);
+ if (sign > 0)
+ ret = b;
+ else
+ ret = -b;
+ }
+ out:
+ if (__isinfl (ret))
+ ret = __copysignl (LDBL_MAX, ret) * LDBL_MAX;
+ return ret;
}
strong_alias (__ieee754_ynl, __ynl_finite)
diff --git a/sysdeps/x86_64/fpu/libm-test-ulps b/sysdeps/x86_64/fpu/libm-test-ulps
index f68650d..36e1b76 100644
--- a/sysdeps/x86_64/fpu/libm-test-ulps
+++ b/sysdeps/x86_64/fpu/libm-test-ulps
@@ -2033,4 +2033,28 @@ ifloat: 3
ildouble: 4
ldouble: 4
+Function: "yn_downward":
+double: 3
+float: 4
+idouble: 3
+ifloat: 4
+ildouble: 5
+ldouble: 5
+
+Function: "yn_towardzero":
+double: 3
+float: 3
+idouble: 3
+ifloat: 3
+ildouble: 5
+ldouble: 5
+
+Function: "yn_upward":
+double: 4
+float: 5
+idouble: 4
+ifloat: 5
+ildouble: 4
+ldouble: 4
+
# end of automatic generation
generated by cgit v1.1 at 2024-11-05 03:32:59 +0000