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-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
5 files changed, 304 insertions, 248 deletions
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)
generated by cgit v1.1 at 2025-01-25 12:39:34 +0000