@@ -21,8 +21,6 @@
double
__ieee754_sqrt (double d)
{
- double res;
- asm ("fsqrt %d0, %d1" : "=w" (res) : "w" (d));
- return res;
+ return __builtin_sqrt (d);
}
strong_alias (__ieee754_sqrt, __sqrt_finite)
@@ -21,8 +21,6 @@
float
__ieee754_sqrtf (float s)
{
- float res;
- asm ("fsqrt %s0, %s1" : "=w" (res) : "w" (s));
- return res;
+ return __builtin_sqrtf (s);
}
strong_alias (__ieee754_sqrtf, __sqrtf_finite)
@@ -58,12 +58,12 @@ __ieee754_acosh (double x)
else if (hx > 0x40000000) /* 2**28 > x > 2 */
{
t = x * x;
- return __ieee754_log (2.0 * x - one / (x + __ieee754_sqrt (t - one)));
+ return __ieee754_log (2.0 * x - one / (x + sqrt (t - one)));
}
else /* 1<x<2 */
{
t = x - one;
- return __log1p (t + __ieee754_sqrt (2.0 * t + t * t));
+ return __log1p (t + sqrt (2.0 * t + t * t));
}
}
strong_alias (__ieee754_acosh, __acosh_finite)
@@ -98,7 +98,7 @@ gamma_positive (double x, int *exp2_adj)
double ret = (__ieee754_pow (x_adj_mant, x_adj)
* __ieee754_exp2 (x_adj_log2 * x_adj_frac)
* __ieee754_exp (-x_adj)
- * __ieee754_sqrt (2 * M_PI / x_adj)
+ * sqrt (2 * M_PI / x_adj)
/ prod);
exp_adj += x_eps * __ieee754_log (x_adj);
double bsum = gamma_coeff[NCOEFF - 1];
@@ -132,7 +132,7 @@ __ieee754_hypot (double x, double y)
t1 = 0;
SET_HIGH_WORD (t1, ha);
t2 = a - t1;
- w = __ieee754_sqrt (t1 * t1 - (b * (-b) - t2 * (a + t1)));
+ w = sqrt (t1 * t1 - (b * (-b) - t2 * (a + t1)));
}
else
{
@@ -143,7 +143,7 @@ __ieee754_hypot (double x, double y)
t1 = 0;
SET_HIGH_WORD (t1, ha + 0x00100000);
t2 = a - t1;
- w = __ieee754_sqrt (t1 * y1 - (w * (-w) - (t1 * y2 + t2 * b)));
+ w = sqrt (t1 * y1 - (w * (-w) - (t1 * y2 + t2 * b)));
}
if (k != 0)
{
@@ -109,11 +109,11 @@ __ieee754_j0 (double x)
* y0(x) = 1/sqrt(pi) * (P(0,x)*ss + Q(0,x)*cc) / sqrt(x)
*/
if (ix > 0x48000000)
- z = (invsqrtpi * cc) / __ieee754_sqrt (x);
+ z = (invsqrtpi * cc) / sqrt (x);
else
{
u = pzero (x); v = qzero (x);
- z = invsqrtpi * (u * cc - v * ss) / __ieee754_sqrt (x);
+ z = invsqrtpi * (u * cc - v * ss) / sqrt (x);
}
return z;
}
@@ -200,11 +200,11 @@ __ieee754_y0 (double x)
ss = z / cc;
}
if (ix > 0x48000000)
- z = (invsqrtpi * ss) / __ieee754_sqrt (x);
+ z = (invsqrtpi * ss) / sqrt (x);
else
{
u = pzero (x); v = qzero (x);
- z = invsqrtpi * (u * ss + v * cc) / __ieee754_sqrt (x);
+ z = invsqrtpi * (u * ss + v * cc) / sqrt (x);
}
return z;
}
@@ -112,11 +112,11 @@ __ieee754_j1 (double x)
* y1(x) = 1/sqrt(pi) * (P(1,x)*ss + Q(1,x)*cc) / sqrt(x)
*/
if (ix > 0x48000000)
- z = (invsqrtpi * cc) / __ieee754_sqrt (y);
+ z = (invsqrtpi * cc) / sqrt (y);
else
{
u = pone (y); v = qone (y);
- z = invsqrtpi * (u * cc - v * ss) / __ieee754_sqrt (y);
+ z = invsqrtpi * (u * cc - v * ss) / sqrt (y);
}
if (hx < 0)
return -z;
@@ -203,11 +203,11 @@ __ieee754_y1 (double x)
* to compute the worse one.
*/
if (ix > 0x48000000)
- z = (invsqrtpi * ss) / __ieee754_sqrt (x);
+ z = (invsqrtpi * ss) / sqrt (x);
else
{
u = pone (x); v = qone (x);
- z = invsqrtpi * (u * ss + v * cc) / __ieee754_sqrt (x);
+ z = invsqrtpi * (u * ss + v * cc) / sqrt (x);
}
return z;
}
@@ -107,7 +107,7 @@ __ieee754_jn (int n, double x)
case 2: temp = -c - s; break;
case 3: temp = c - s; break;
}
- b = invsqrtpi * temp / __ieee754_sqrt (x);
+ b = invsqrtpi * temp / sqrt (x);
}
else
{
@@ -314,7 +314,7 @@ __ieee754_yn (int n, double x)
case 2: temp = -s + c; break;
case 3: temp = s + c; break;
}
- b = invsqrtpi * temp / __ieee754_sqrt (x);
+ b = invsqrtpi * temp / sqrt (x);
}
else
{
@@ -113,7 +113,7 @@ __halfulp (double x, double y)
/* now treat x */
while (k > 0)
{
- z = __ieee754_sqrt (x);
+ z = sqrt (x);
EMULV (z, z, u, uu, j1, j2, j3, j4, j5);
if (((u - x) + uu) != 0)
break;
@@ -54,13 +54,13 @@ __asinh (double x)
double xa = fabs (x);
if (ix > 0x40000000) /* 2**28 > |x| > 2.0 */
{
- w = __ieee754_log (2.0 * xa + one / (__ieee754_sqrt (xa * xa + one) +
+ w = __ieee754_log (2.0 * xa + one / (sqrt (xa * xa + one) +
xa));
}
else /* 2.0 > |x| > 2**-28 */
{
double t = xa * xa;
- w = __log1p (xa + t / (one + __ieee754_sqrt (one + t)));
+ w = __log1p (xa + t / (one + sqrt (one + t)));
}
}
return __copysign (w, x);
@@ -51,13 +51,13 @@ __ieee754_acosh (double x)
/* 2**28 > x > 2 */
double t = x * x;
- return __ieee754_log (2.0 * x - one / (x + __ieee754_sqrt (t - one)));
+ return __ieee754_log (2.0 * x - one / (x + sqrt (t - one)));
}
else if (__glibc_likely (hx > INT64_C (0x3ff0000000000000)))
{
/* 1<x<2 */
double t = x - one;
- return __log1p (t + __ieee754_sqrt (2.0 * t + t * t));
+ return __log1p (t + sqrt (2.0 * t + t * t));
}
else if (__glibc_likely (hx == INT64_C (0x3ff0000000000000)))
return 0.0; /* acosh(1) = 0 */
@@ -56,14 +56,14 @@ __ieee754_acosf(float x)
z = (one+x)*(float)0.5;
p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
- s = __ieee754_sqrtf(z);
+ s = sqrtf(z);
r = p/q;
w = r*s-pio2_lo;
return pi - (float)2.0*(s+w);
} else { /* x > 0.5 */
int32_t idf;
z = (one-x)*(float)0.5;
- s = __ieee754_sqrtf(z);
+ s = sqrtf(z);
df = s;
GET_FLOAT_WORD(idf,df);
SET_FLOAT_WORD(df,idf&0xfffff000);
@@ -40,10 +40,10 @@ float __ieee754_acoshf(float x)
return 0.0; /* acosh(1) = 0 */
} else if (hx > 0x40000000) { /* 2**28 > x > 2 */
t=x*x;
- return __ieee754_logf((float)2.0*x-one/(x+__ieee754_sqrtf(t-one)));
+ return __ieee754_logf((float)2.0*x-one/(x+sqrtf(t-one)));
} else { /* 1<x<2 */
t = x-one;
- return __log1pf(t+__ieee754_sqrtf((float)2.0*t+t*t));
+ return __log1pf(t+sqrtf((float)2.0*t+t*t));
}
}
strong_alias (__ieee754_acoshf, __acoshf_finite)
@@ -85,7 +85,7 @@ float __ieee754_asinf(float x)
w = one-fabsf(x);
t = w*0.5f;
p = t * (p0 + t * (p1 + t * (p2 + t * (p3 + t * p4))));
- s = __ieee754_sqrtf(t);
+ s = sqrtf(t);
if(ix>=0x3F79999A) { /* if |x| > 0.975 */
t = pio2_hi-(2.0f*(s+s*p)-pio2_lo);
} else {
@@ -91,7 +91,7 @@ gammaf_positive (float x, int *exp2_adj)
float ret = (__ieee754_powf (x_adj_mant, x_adj)
* __ieee754_exp2f (x_adj_log2 * x_adj_frac)
* __ieee754_expf (-x_adj)
- * __ieee754_sqrtf (2 * (float) M_PI / x_adj)
+ * sqrtf (2 * (float) M_PI / x_adj)
/ prod);
exp_adj += x_eps * __ieee754_logf (x_adj);
float bsum = gamma_coeff[NCOEFF - 1];
@@ -40,6 +40,6 @@ __ieee754_hypotf(float x, float y)
d_x = (double) x;
d_y = (double) y;
- return (float) __ieee754_sqrt(d_x * d_x + d_y * d_y);
+ return (float) sqrt(d_x * d_x + d_y * d_y);
}
strong_alias (__ieee754_hypotf, __hypotf_finite)
@@ -58,10 +58,10 @@ __ieee754_j0f(float x)
* j0(x) = 1/sqrt(pi) * (P(0,x)*cc - Q(0,x)*ss) / sqrt(x)
* y0(x) = 1/sqrt(pi) * (P(0,x)*ss + Q(0,x)*cc) / sqrt(x)
*/
- if(ix>0x48000000) z = (invsqrtpi*cc)/__ieee754_sqrtf(x);
+ if(ix>0x48000000) z = (invsqrtpi*cc)/sqrtf(x);
else {
u = pzerof(x); v = qzerof(x);
- z = invsqrtpi*(u*cc-v*ss)/__ieee754_sqrtf(x);
+ z = invsqrtpi*(u*cc-v*ss)/sqrtf(x);
}
return z;
}
@@ -131,10 +131,10 @@ __ieee754_y0f(float x)
if ((s*c)<zero) cc = z/ss;
else ss = z/cc;
}
- if(ix>0x48000000) z = (invsqrtpi*ss)/__ieee754_sqrtf(x);
+ if(ix>0x48000000) z = (invsqrtpi*ss)/sqrtf(x);
else {
u = pzerof(x); v = qzerof(x);
- z = invsqrtpi*(u*ss+v*cc)/__ieee754_sqrtf(x);
+ z = invsqrtpi*(u*ss+v*cc)/sqrtf(x);
}
return z;
}
@@ -61,10 +61,10 @@ __ieee754_j1f(float x)
* j1(x) = 1/sqrt(pi) * (P(1,x)*cc - Q(1,x)*ss) / sqrt(x)
* y1(x) = 1/sqrt(pi) * (P(1,x)*ss + Q(1,x)*cc) / sqrt(x)
*/
- if(ix>0x48000000) z = (invsqrtpi*cc)/__ieee754_sqrtf(y);
+ if(ix>0x48000000) z = (invsqrtpi*cc)/sqrtf(y);
else {
u = ponef(y); v = qonef(y);
- z = invsqrtpi*(u*cc-v*ss)/__ieee754_sqrtf(y);
+ z = invsqrtpi*(u*cc-v*ss)/sqrtf(y);
}
if(hx<0) return -z;
else return z;
@@ -135,10 +135,10 @@ __ieee754_y1f(float x)
* sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x))
* to compute the worse one.
*/
- if(ix>0x48000000) z = (invsqrtpi*ss)/__ieee754_sqrtf(x);
+ if(ix>0x48000000) z = (invsqrtpi*ss)/sqrtf(x);
else {
u = ponef(x); v = qonef(x);
- z = invsqrtpi*(u*ss+v*cc)/__ieee754_sqrtf(x);
+ z = invsqrtpi*(u*ss+v*cc)/sqrtf(x);
}
return z;
}
@@ -101,7 +101,7 @@ __ieee754_powf(float x, float y)
if(hy==0x40000000) return x*x; /* y is 2 */
if(hy==0x3f000000) { /* y is 0.5 */
if(__builtin_expect(hx>=0, 1)) /* x >= +0 */
- return __ieee754_sqrtf(x);
+ return sqrtf(x);
}
/* determine if y is an odd int when x < 0
@@ -40,10 +40,10 @@ __asinhf(float x)
} else {
float xa = fabsf(x);
if (ix>0x40000000) { /* 2**14 > |x| > 2.0 */
- w = __ieee754_logf(2.0f*xa+one/(__ieee754_sqrtf(xa*xa+one)+xa));
+ w = __ieee754_logf(2.0f*xa+one/(sqrtf(xa*xa+one)+xa));
} else { /* 2.0 > |x| > 2**-14 */
float t = xa*xa;
- w =__log1pf(xa+t/(one+__ieee754_sqrtf(one+t)));
+ w =__log1pf(xa+t/(one+sqrtf(one+t)));
}
}
return __copysignf(w, x);
@@ -52,7 +52,7 @@ __ieee754_acoshl(_Float128 x)
return 0; /* acosh(1) = 0 */
} else if (hx > 0x4000000000000000LL) { /* 2**28 > x > 2 */
t=x*x;
- return __ieee754_logl(2*x-one/(x+__ieee754_sqrtl(t-one)));
+ return __ieee754_logl(2*x-one/(x+sqrtl(t-one)));
} else { /* 1<x<2 */
t = x-one;
return __log1pl(t+__sqrtl(2*t+t*t));
@@ -51,7 +51,7 @@
* if x is NaN, return x itself;
* if |x|>1, return NaN with invalid signal.
*
- * Functions needed: __ieee754_sqrtl.
+ * Functions needed: sqrtl.
*/
#include <math.h>
@@ -270,7 +270,7 @@ __ieee754_acosl (_Float128 x)
else
{ /* |x| >= .625 */
z = (one - u.value) * 0.5;
- s = __ieee754_sqrtl (z);
+ s = sqrtl (z);
/* Compute an extended precision square root from
the Newton iteration s -> 0.5 * (s + z / s).
The change w from s to the improved value is
@@ -231,7 +231,7 @@ __ieee754_asinl (_Float128 x)
return x + x * w;
}
- s = __ieee754_sqrtl (t);
+ s = sqrtl (t);
if (ix >= 0x3ffef333) /* |x| > 0.975 */
{
w = p / q;
@@ -107,7 +107,7 @@ gammal_positive (_Float128 x, int *exp2_adj)
_Float128 ret = (__ieee754_powl (x_adj_mant, x_adj)
* __ieee754_exp2l (x_adj_log2 * x_adj_frac)
* __ieee754_expl (-x_adj)
- * __ieee754_sqrtl (2 * M_PIl / x_adj)
+ * sqrtl (2 * M_PIl / x_adj)
/ prod);
exp_adj += x_eps * __ieee754_logl (x_adj);
_Float128 bsum = gamma_coeff[NCOEFF - 1];
@@ -116,7 +116,7 @@ __ieee754_hypotl(_Float128 x, _Float128 y)
t1 = 0;
SET_LDOUBLE_MSW64(t1,ha);
t2 = a-t1;
- w = __ieee754_sqrtl(t1*t1-(b*(-b)-t2*(a+t1)));
+ w = sqrtl(t1*t1-(b*(-b)-t2*(a+t1)));
} else {
a = a+a;
y1 = 0;
@@ -125,7 +125,7 @@ __ieee754_hypotl(_Float128 x, _Float128 y)
t1 = 0;
SET_LDOUBLE_MSW64(t1,ha+0x0001000000000000LL);
t2 = a - t1;
- w = __ieee754_sqrtl(t1*y1-(w*(-w)-(t1*y2+t2*b)));
+ w = sqrtl(t1*y1-(w*(-w)-(t1*y2+t2*b)));
}
if(k!=0) {
uint64_t high;
@@ -723,7 +723,7 @@ __ieee754_j0l (_Float128 x)
}
if (xx > L(0x1p256))
- return ONEOSQPI * cc / __ieee754_sqrtl (xx);
+ return ONEOSQPI * cc / sqrtl (xx);
xinv = 1 / xx;
z = xinv * xinv;
@@ -786,7 +786,7 @@ __ieee754_j0l (_Float128 x)
p = 1 + z * p;
q = z * xinv * q;
q = q - L(0.125) * xinv;
- z = ONEOSQPI * (p * cc - q * ss) / __ieee754_sqrtl (xx);
+ z = ONEOSQPI * (p * cc - q * ss) / sqrtl (xx);
return z;
}
strong_alias (__ieee754_j0l, __j0l_finite)
@@ -868,7 +868,7 @@ _Float128
}
if (xx > L(0x1p256))
- return ONEOSQPI * ss / __ieee754_sqrtl (x);
+ return ONEOSQPI * ss / sqrtl (x);
xinv = 1 / xx;
z = xinv * xinv;
@@ -931,7 +931,7 @@ _Float128
p = 1 + z * p;
q = z * xinv * q;
q = q - L(0.125) * xinv;
- z = ONEOSQPI * (p * ss + q * cc) / __ieee754_sqrtl (x);
+ z = ONEOSQPI * (p * ss + q * cc) / sqrtl (x);
return z;
}
strong_alias (__ieee754_y0l, __y0l_finite)
@@ -736,7 +736,7 @@ __ieee754_j1l (_Float128 x)
if (xx > L(0x1p256))
{
- z = ONEOSQPI * cc / __ieee754_sqrtl (xx);
+ z = ONEOSQPI * cc / sqrtl (xx);
if (x < 0)
z = -z;
return z;
@@ -803,7 +803,7 @@ __ieee754_j1l (_Float128 x)
p = 1 + z * p;
q = z * q;
q = q * xinv + L(0.375) * xinv;
- z = ONEOSQPI * (p * cc - q * ss) / __ieee754_sqrtl (xx);
+ z = ONEOSQPI * (p * cc - q * ss) / sqrtl (xx);
if (x < 0)
z = -z;
return z;
@@ -892,7 +892,7 @@ __ieee754_y1l (_Float128 x)
}
if (xx > L(0x1p256))
- return ONEOSQPI * ss / __ieee754_sqrtl (xx);
+ return ONEOSQPI * ss / sqrtl (xx);
xinv = 1 / xx;
z = xinv * xinv;
@@ -955,7 +955,7 @@ __ieee754_y1l (_Float128 x)
p = 1 + z * p;
q = z * q;
q = q * xinv + L(0.375) * xinv;
- z = ONEOSQPI * (p * ss + q * cc) / __ieee754_sqrtl (xx);
+ z = ONEOSQPI * (p * ss + q * cc) / sqrtl (xx);
return z;
}
strong_alias (__ieee754_y1l, __y1l_finite)
@@ -149,7 +149,7 @@ __ieee754_jnl (int n, _Float128 x)
temp = c - s;
break;
}
- b = invsqrtpi * temp / __ieee754_sqrtl (x);
+ b = invsqrtpi * temp / sqrtl (x);
}
else
{
@@ -385,7 +385,7 @@ __ieee754_ynl (int n, _Float128 x)
temp = s + c;
break;
}
- b = invsqrtpi * temp / __ieee754_sqrtl (x);
+ b = invsqrtpi * temp / sqrtl (x);
}
else
{
@@ -233,7 +233,7 @@ __ieee754_powl (_Float128 x, _Float128 y)
if (hy == 0x3ffe0000)
{ /* y is 0.5 */
if (hx >= 0) /* x >= +0 */
- return __ieee754_sqrtl (x);
+ return sqrtl (x);
}
}
@@ -64,12 +64,12 @@ __asinhl (_Float128 x)
else if (ix >0x40000000)
{ /* 2^ 54 > |x| > 2.0 */
t = u.value;
- w = __ieee754_logl (2.0 * t + one / (__ieee754_sqrtl (x * x + one) + t));
+ w = __ieee754_logl (2.0 * t + one / (sqrtl (x * x + one) + t));
}
else
{ /* 2.0 > |x| > 2 ^ -56 */
t = x * x;
- w = __log1pl (u.value + t / (one + __ieee754_sqrtl (one + t)));
+ w = __log1pl (u.value + t / (one + sqrtl (one + t)));
}
if (sign & 0x80000000)
return -w;
@@ -53,10 +53,10 @@ __ieee754_acoshl(long double x)
return 0.0; /* acosh(1) = 0 */
} else if (hx > 0x4000000000000000LL) { /* 2**56 > x > 2 */
t=x*x;
- return __ieee754_logl(2.0*x-one/(x+__ieee754_sqrtl(t-one)));
+ return __ieee754_logl(2.0*x-one/(x+sqrtl(t-one)));
} else { /* 1<x<2 */
t = x-one;
- return __log1pl(t+__ieee754_sqrtl(2.0*t+t*t));
+ return __log1pl(t+sqrtl(2.0*t+t*t));
}
}
strong_alias (__ieee754_acoshl, __acoshl_finite)
@@ -51,7 +51,7 @@
* if x is NaN, return x itself;
* if |x|>1, return NaN with invalid signal.
*
- * Functions needed: __ieee754_sqrtl.
+ * Functions needed: sqrtl.
*/
#include <math.h>
@@ -268,7 +268,7 @@ __ieee754_acosl (long double x)
double shi, slo;
z = (one - a) * 0.5;
- s = __ieee754_sqrtl (z);
+ s = sqrtl (z);
/* Compute an extended precision square root from
the Newton iteration s -> 0.5 * (s + z / s).
The change w from s to the improved value is
@@ -62,7 +62,6 @@
#include <float.h>
#include <math.h>
#include <math_private.h>
-long double sqrtl (long double);
static const long double
one = 1.0L,
@@ -226,7 +225,7 @@ __ieee754_asinl (long double x)
return x + x * w;
}
- s = __ieee754_sqrtl (t);
+ s = sqrtl (t);
if (a > 0.975L)
{
w = p / q;
@@ -106,7 +106,7 @@ gammal_positive (long double x, int *exp2_adj)
long double ret = (__ieee754_powl (x_adj_mant, x_adj)
* __ieee754_exp2l (x_adj_log2 * x_adj_frac)
* __ieee754_expl (-x_adj)
- * __ieee754_sqrtl (2 * M_PIl / x_adj)
+ * sqrtl (2 * M_PIl / x_adj)
/ prod);
exp_adj += x_eps * __ieee754_logl (x_adj);
long double bsum = gamma_coeff[NCOEFF - 1];
@@ -107,7 +107,7 @@ __ieee754_hypotl(long double x, long double y)
= a1*(a1+a2) + a2*a + b*b
= a1*a1 + a1*a2 + a2*a + b*b
= a1*a1 + a2*(a+a1) + b*b */
- w = __ieee754_sqrtl(a1*a1-(b*(-b)-a2*(a+a1)));
+ w = sqrtl(a1*a1-(b*(-b)-a2*(a+a1)));
} else {
a = a+a;
ldbl_unpack (b, &hi, &lo);
@@ -124,7 +124,7 @@ __ieee754_hypotl(long double x, long double y)
= w*w + a1*b + a2*b
= w*w + a1*(b1+b2) + a2*b
= w*w + a1*b1 + a1*b2 + a2*b */
- w = __ieee754_sqrtl(a1*b1-(w*(-w)-(a1*b2+a2*b)));
+ w = sqrtl(a1*b1-(w*(-w)-(a1*b2+a2*b)));
}
if(k!=0)
{
@@ -650,7 +650,7 @@ __ieee754_j0l (long double x)
}
if (xx > 0x1p256L)
- return ONEOSQPI * cc / __ieee754_sqrtl (xx);
+ return ONEOSQPI * cc / sqrtl (xx);
xinv = 1 / xx;
z = xinv * xinv;
@@ -713,7 +713,7 @@ __ieee754_j0l (long double x)
p = 1 + z * p;
q = z * xinv * q;
q = q - 0.125L * xinv;
- z = ONEOSQPI * (p * cc - q * ss) / __ieee754_sqrtl (xx);
+ z = ONEOSQPI * (p * cc - q * ss) / sqrtl (xx);
return z;
}
strong_alias (__ieee754_j0l, __j0l_finite)
@@ -795,7 +795,7 @@ long double
}
if (xx > 0x1p256L)
- return ONEOSQPI * ss / __ieee754_sqrtl (x);
+ return ONEOSQPI * ss / sqrtl (x);
xinv = 1 / xx;
z = xinv * xinv;
@@ -858,7 +858,7 @@ long double
p = 1 + z * p;
q = z * xinv * q;
q = q - 0.125L * xinv;
- z = ONEOSQPI * (p * ss + q * cc) / __ieee754_sqrtl (x);
+ z = ONEOSQPI * (p * ss + q * cc) / sqrtl (x);
return z;
}
strong_alias (__ieee754_y0l, __y0l_finite)
@@ -659,7 +659,7 @@ __ieee754_j1l (long double x)
if (xx > 0x1p256L)
{
- z = ONEOSQPI * cc / __ieee754_sqrtl (xx);
+ z = ONEOSQPI * cc / sqrtl (xx);
if (x < 0)
z = -z;
return z;
@@ -726,7 +726,7 @@ __ieee754_j1l (long double x)
p = 1 + z * p;
q = z * q;
q = q * xinv + 0.375L * xinv;
- z = ONEOSQPI * (p * cc - q * ss) / __ieee754_sqrtl (xx);
+ z = ONEOSQPI * (p * cc - q * ss) / sqrtl (xx);
if (x < 0)
z = -z;
return z;
@@ -815,7 +815,7 @@ __ieee754_y1l (long double x)
}
if (xx > 0x1p256L)
- return ONEOSQPI * ss / __ieee754_sqrtl (xx);
+ return ONEOSQPI * ss / sqrtl (xx);
xinv = 1 / xx;
z = xinv * xinv;
@@ -878,7 +878,7 @@ __ieee754_y1l (long double x)
p = 1 + z * p;
q = z * q;
q = q * xinv + 0.375L * xinv;
- z = ONEOSQPI * (p * ss + q * cc) / __ieee754_sqrtl (xx);
+ z = ONEOSQPI * (p * ss + q * cc) / sqrtl (xx);
return z;
}
strong_alias (__ieee754_y1l, __y1l_finite)
@@ -149,7 +149,7 @@ __ieee754_jnl (int n, long double x)
temp = c - s;
break;
}
- b = invsqrtpi * temp / __ieee754_sqrtl (x);
+ b = invsqrtpi * temp / sqrtl (x);
}
else
{
@@ -385,7 +385,7 @@ __ieee754_ynl (int n, long double x)
temp = s + c;
break;
}
- b = invsqrtpi * temp / __ieee754_sqrtl (x);
+ b = invsqrtpi * temp / sqrtl (x);
}
else
{
@@ -233,7 +233,7 @@ __ieee754_powl (long double x, long double y)
if (hy == 0x3fe00000)
{ /* y is 0.5 */
if (hx >= 0) /* x >= +0 */
- return __ieee754_sqrtl (x);
+ return sqrtl (x);
}
}
}
@@ -53,10 +53,10 @@ long double __asinhl(long double x)
w = __ieee754_logl(fabsl(x))+ln2;
} else if (ix>0x4000000000000000LL) { /* 2**56 >= |x| > 2.0 */
t = fabs(x);
- w = __ieee754_logl(2.0*t+one/(__ieee754_sqrtl(x*x+one)+t));
+ w = __ieee754_logl(2.0*t+one/(sqrtl(x*x+one)+t));
} else { /* 2.0 >= |x| >= 2**-56 */
t = x*x;
- w =__log1pl(fabsl(x)+t/(one+__ieee754_sqrtl(one+t)));
+ w =__log1pl(fabsl(x)+t/(one+sqrtl(one+t)));
}
if(hx>0) return w; else return -w;
}
@@ -52,10 +52,10 @@ __ieee754_acoshl(long double x)
return 0.0; /* acosh(1) = 0 */
} else if (se > 0x4000) { /* 2**28 > x > 2 */
t=x*x;
- return __ieee754_logl(2.0*x-one/(x+__ieee754_sqrtl(t-one)));
+ return __ieee754_logl(2.0*x-one/(x+sqrtl(t-one)));
} else { /* 1<x<2 */
t = x-one;
- return __log1pl(t+__ieee754_sqrtl(2.0*t+t*t));
+ return __log1pl(t+sqrtl(2.0*t+t*t));
}
}
strong_alias (__ieee754_acoshl, __acoshl_finite)
@@ -132,7 +132,7 @@ __ieee754_asinl (long double x)
t = w * 0.5;
p = t * (pS0 + t * (pS1 + t * (pS2 + t * (pS3 + t * (pS4 + t * pS5)))));
q = qS0 + t * (qS1 + t * (qS2 + t * (qS3 + t * (qS4 + t))));
- s = __ieee754_sqrtl (t);
+ s = sqrtl (t);
if (ix >= 0x3ffef999)
{ /* if |x| > 0.975 */
w = p / q;
@@ -100,7 +100,7 @@ gammal_positive (long double x, int *exp2_adj)
long double ret = (__ieee754_powl (x_adj_mant, x_adj)
* __ieee754_exp2l (x_adj_log2 * x_adj_frac)
* __ieee754_expl (-x_adj)
- * __ieee754_sqrtl (2 * M_PIl / x_adj)
+ * sqrtl (2 * M_PIl / x_adj)
/ prod);
exp_adj += x_eps * __ieee754_logl (x_adj);
long double bsum = gamma_coeff[NCOEFF - 1];
@@ -117,7 +117,7 @@ long double __ieee754_hypotl(long double x, long double y)
GET_LDOUBLE_MSW(high,a);
SET_LDOUBLE_WORDS(t1,ea,high,0);
t2 = a-t1;
- w = __ieee754_sqrtl(t1*t1-(b*(-b)-t2*(a+t1)));
+ w = sqrtl(t1*t1-(b*(-b)-t2*(a+t1)));
} else {
uint32_t high;
GET_LDOUBLE_MSW(high,b);
@@ -127,7 +127,7 @@ long double __ieee754_hypotl(long double x, long double y)
GET_LDOUBLE_MSW(high,a);
SET_LDOUBLE_WORDS(t1,ea+1,high,0);
t2 = a - t1;
- w = __ieee754_sqrtl(t1*y1-(w*(-w)-(t1*y2+t2*b)));
+ w = sqrtl(t1*y1-(w*(-w)-(t1*y2+t2*b)));
}
if(k!=0) {
uint32_t exp;
@@ -133,12 +133,12 @@ __ieee754_j0l (long double x)
* y0(x) = 1/sqrt(pi) * (P(0,x)*ss + Q(0,x)*cc) / sqrt(x)
*/
if (__glibc_unlikely (ix > 0x4080)) /* 2^129 */
- z = (invsqrtpi * cc) / __ieee754_sqrtl (x);
+ z = (invsqrtpi * cc) / sqrtl (x);
else
{
u = pzero (x);
v = qzero (x);
- z = invsqrtpi * (u * cc - v * ss) / __ieee754_sqrtl (x);
+ z = invsqrtpi * (u * cc - v * ss) / sqrtl (x);
}
return z;
}
@@ -235,12 +235,12 @@ __ieee754_y0l (long double x)
ss = z / cc;
}
if (__glibc_unlikely (ix > 0x4080)) /* 1e39 */
- z = (invsqrtpi * ss) / __ieee754_sqrtl (x);
+ z = (invsqrtpi * ss) / sqrtl (x);
else
{
u = pzero (x);
v = qzero (x);
- z = invsqrtpi * (u * ss + v * cc) / __ieee754_sqrtl (x);
+ z = invsqrtpi * (u * ss + v * cc) / sqrtl (x);
}
return z;
}
@@ -137,12 +137,12 @@ __ieee754_j1l (long double x)
* y1(x) = 1/sqrt(pi) * (P(1,x)*ss + Q(1,x)*cc) / sqrt(x)
*/
if (__glibc_unlikely (ix > 0x4080))
- z = (invsqrtpi * cc) / __ieee754_sqrtl (y);
+ z = (invsqrtpi * cc) / sqrtl (y);
else
{
u = pone (y);
v = qone (y);
- z = invsqrtpi * (u * cc - v * ss) / __ieee754_sqrtl (y);
+ z = invsqrtpi * (u * cc - v * ss) / sqrtl (y);
}
if (se & 0x8000)
return -z;
@@ -231,12 +231,12 @@ __ieee754_y1l (long double x)
* to compute the worse one.
*/
if (__glibc_unlikely (ix > 0x4080))
- z = (invsqrtpi * ss) / __ieee754_sqrtl (x);
+ z = (invsqrtpi * ss) / sqrtl (x);
else
{
u = pone (x);
v = qone (x);
- z = invsqrtpi * (u * ss + v * cc) / __ieee754_sqrtl (x);
+ z = invsqrtpi * (u * ss + v * cc) / sqrtl (x);
}
return z;
}
@@ -142,7 +142,7 @@ __ieee754_jnl (int n, long double x)
temp = c - s;
break;
}
- b = invsqrtpi * temp / __ieee754_sqrtl (x);
+ b = invsqrtpi * temp / sqrtl (x);
}
else
{
@@ -371,7 +371,7 @@ __ieee754_ynl (int n, long double x)
temp = s + c;
break;
}
- b = invsqrtpi * temp / __ieee754_sqrtl (x);
+ b = invsqrtpi * temp / sqrtl (x);
}
else
{
@@ -54,10 +54,10 @@ long double __asinhl(long double x)
} else {
long double xa = fabsl(x);
if (ix>0x4000) { /* 2**34 > |x| > 2.0 */
- w = __ieee754_logl(2.0*xa+one/(__ieee754_sqrtl(xa*xa+one)+xa));
+ w = __ieee754_logl(2.0*xa+one/(sqrtl(xa*xa+one)+xa));
} else { /* 2.0 > |x| > 2**-28 */
t = xa*xa;
- w =__log1pl(xa+t/(one+__ieee754_sqrtl(one+t)));
+ w =__log1pl(xa+t/(one+sqrtl(one+t)));
}
}
return __copysignl(w, x);
@@ -64,7 +64,7 @@ s(__ieee754_pow) (float_type x, float_type y)
if (y == 2)
return x * x;
if (y == 0.5 && !(x_cond & __M81_COND_NEG))
- return m81(__ieee754_sqrt) (x);
+ return m81(sqrt) (x);
if (x == 10.0)
{
@@ -110,7 +110,7 @@ __ieee754_hypot (double x, double y)
{
x *= twoM600;
y *= twoM600;
- return __ieee754_sqrt (x * x + y * y) / twoM600;
+ return sqrt (x * x + y * y) / twoM600;
}
if (y < twoM500)
{
@@ -118,7 +118,7 @@ __ieee754_hypot (double x, double y)
{
x *= two1022;
y *= two1022;
- double ret = __ieee754_sqrt (x * x + y * y) / two1022;
+ double ret = sqrt (x * x + y * y) / two1022;
math_check_force_underflow_nonneg (ret);
return ret;
}
@@ -126,9 +126,9 @@ __ieee754_hypot (double x, double y)
{
x *= two600;
y *= two600;
- return __ieee754_sqrt (x * x + y * y) / two600;
+ return sqrt (x * x + y * y) / two600;
}
}
- return __ieee754_sqrt (x * x + y * y);
+ return sqrt (x * x + y * y);
}
strong_alias (__ieee754_hypot, __hypot_finite)
@@ -71,6 +71,6 @@ __ieee754_hypotf (float x, float y)
{
TEST_INF_NAN (x, y);
- return __ieee754_sqrt ((double) x * x + (double) y * y);
+ return sqrt ((double) x * x + (double) y * y);
}
strong_alias (__ieee754_hypotf, __hypotf_finite)