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-rw-r--r--modules/fdlibm/patches/18_use_stdlib_sqrt.patch255
1 files changed, 255 insertions, 0 deletions
diff --git a/modules/fdlibm/patches/18_use_stdlib_sqrt.patch b/modules/fdlibm/patches/18_use_stdlib_sqrt.patch
new file mode 100644
index 000000000..1f87dd73b
--- /dev/null
+++ b/modules/fdlibm/patches/18_use_stdlib_sqrt.patch
@@ -0,0 +1,255 @@
+diff --git a/modules/fdlibm/src/e_acos.cpp b/modules/fdlibm/src/e_acos.cpp
+--- a/modules/fdlibm/src/e_acos.cpp
++++ b/modules/fdlibm/src/e_acos.cpp
+@@ -33,16 +33,17 @@
+ *
+ * Special cases:
+ * if x is NaN, return x itself;
+ * if |x|>1, return NaN with invalid signal.
+ *
+ * Function needed: sqrt
+ */
+
++#include <cmath>
+ #include <float.h>
+
+ #include "math_private.h"
+
+ static const double
+ one= 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
+ pi = 3.14159265358979311600e+00, /* 0x400921FB, 0x54442D18 */
+ pio2_hi = 1.57079632679489655800e+00; /* 0x3FF921FB, 0x54442D18 */
+@@ -82,23 +83,23 @@ double
+ p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
+ q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
+ r = p/q;
+ return pio2_hi - (x - (pio2_lo-x*r));
+ } else if (hx<0) { /* x < -0.5 */
+ z = (one+x)*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 = sqrt(z);
++ s = std::sqrt(z);
+ r = p/q;
+ w = r*s-pio2_lo;
+ return pi - 2.0*(s+w);
+ } else { /* x > 0.5 */
+ z = (one-x)*0.5;
+- s = sqrt(z);
++ s = std::sqrt(z);
+ df = s;
+ SET_LOW_WORD(df,0);
+ c = (z-df*df)/(s+df);
+ p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
+ q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
+ r = p/q;
+ w = r*s+c;
+ return 2.0*(df+w);
+diff --git a/modules/fdlibm/src/e_acosh.cpp b/modules/fdlibm/src/e_acosh.cpp
+--- a/modules/fdlibm/src/e_acosh.cpp
++++ b/modules/fdlibm/src/e_acosh.cpp
+@@ -24,16 +24,17 @@
+ * acosh(x) := log(2x-1/(sqrt(x*x-1)+x)) if x>2; else
+ * acosh(x) := log1p(t+sqrt(2.0*t+t*t)); where t=x-1.
+ *
+ * Special cases:
+ * acosh(x) is NaN with signal if x<1.
+ * acosh(NaN) is NaN without signal.
+ */
+
++#include <cmath>
+ #include <float.h>
+
+ #include "math_private.h"
+
+ static const double
+ one = 1.0,
+ ln2 = 6.93147180559945286227e-01; /* 0x3FE62E42, 0xFEFA39EF */
+
+@@ -50,14 +51,14 @@ double
+ if(hx >=0x7ff00000) { /* x is inf of NaN */
+ return x+x;
+ } else
+ return __ieee754_log(x)+ln2; /* acosh(huge)=log(2x) */
+ } else if(((hx-0x3ff00000)|lx)==0) {
+ return 0.0; /* acosh(1) = 0 */
+ } else if (hx > 0x40000000) { /* 2**28 > x > 2 */
+ t=x*x;
+- return __ieee754_log(2.0*x-one/(x+sqrt(t-one)));
++ return __ieee754_log(2.0*x-one/(x+std::sqrt(t-one)));
+ } else { /* 1<x<2 */
+ t = x-one;
+- return log1p(t+sqrt(2.0*t+t*t));
++ return log1p(t+std::sqrt(2.0*t+t*t));
+ }
+ }
+diff --git a/modules/fdlibm/src/e_asin.cpp b/modules/fdlibm/src/e_asin.cpp
+--- a/modules/fdlibm/src/e_asin.cpp
++++ b/modules/fdlibm/src/e_asin.cpp
+@@ -39,16 +39,17 @@
+ * = pio4_hi+(pio4-2f)-(2s*z*R(z)-(pio2_lo+2c))
+ *
+ * Special cases:
+ * if x is NaN, return x itself;
+ * if |x|>1, return NaN with invalid signal.
+ *
+ */
+
++#include <cmath>
+ #include <float.h>
+
+ #include "math_private.h"
+
+ static const double
+ one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
+ huge = 1.000e+300,
+ pio2_hi = 1.57079632679489655800e+00, /* 0x3FF921FB, 0x54442D18 */
+@@ -90,17 +91,17 @@ double
+ w = p/q;
+ return x+x*w;
+ }
+ /* 1> |x|>= 0.5 */
+ w = one-fabs(x);
+ t = w*0.5;
+ p = t*(pS0+t*(pS1+t*(pS2+t*(pS3+t*(pS4+t*pS5)))));
+ q = one+t*(qS1+t*(qS2+t*(qS3+t*qS4)));
+- s = sqrt(t);
++ s = std::sqrt(t);
+ if(ix>=0x3FEF3333) { /* if |x| > 0.975 */
+ w = p/q;
+ t = pio2_hi-(2.0*(s+s*w)-pio2_lo);
+ } else {
+ w = s;
+ SET_LOW_WORD(w,0);
+ c = (t-w*w)/(s+w);
+ r = p/q;
+diff --git a/modules/fdlibm/src/e_hypot.cpp b/modules/fdlibm/src/e_hypot.cpp
+--- a/modules/fdlibm/src/e_hypot.cpp
++++ b/modules/fdlibm/src/e_hypot.cpp
+@@ -41,16 +41,17 @@
+ * hypot(x,y) is INF if x or y is +INF or -INF; else
+ * hypot(x,y) is NAN if x or y is NAN.
+ *
+ * Accuracy:
+ * hypot(x,y) returns sqrt(x^2+y^2) with error less
+ * than 1 ulps (units in the last place)
+ */
+
++#include <cmath>
+ #include <float.h>
+
+ #include "math_private.h"
+
+ double
+ __ieee754_hypot(double x, double y)
+ {
+ double a,b,t1,t2,y1,y2,w;
+@@ -100,26 +101,26 @@ double
+ }
+ }
+ /* medium size a and b */
+ w = a-b;
+ if (w>b) {
+ t1 = 0;
+ SET_HIGH_WORD(t1,ha);
+ t2 = a-t1;
+- w = sqrt(t1*t1-(b*(-b)-t2*(a+t1)));
++ w = std::sqrt(t1*t1-(b*(-b)-t2*(a+t1)));
+ } else {
+ a = a+a;
+ y1 = 0;
+ SET_HIGH_WORD(y1,hb);
+ y2 = b - y1;
+ t1 = 0;
+ SET_HIGH_WORD(t1,ha+0x00100000);
+ t2 = a - t1;
+- w = sqrt(t1*y1-(w*(-w)-(t1*y2+t2*b)));
++ w = std::sqrt(t1*y1-(w*(-w)-(t1*y2+t2*b)));
+ }
+ if(k!=0) {
+ u_int32_t high;
+ t1 = 1.0;
+ GET_HIGH_WORD(high,t1);
+ SET_HIGH_WORD(t1,high+(k<<20));
+ return t1*w;
+ } else return w;
+diff --git a/modules/fdlibm/src/e_pow.cpp b/modules/fdlibm/src/e_pow.cpp
+--- a/modules/fdlibm/src/e_pow.cpp
++++ b/modules/fdlibm/src/e_pow.cpp
+@@ -52,16 +52,18 @@
+ *
+ * Constants :
+ * The hexadecimal values are the intended ones for the following
+ * constants. The decimal values may be used, provided that the
+ * compiler will convert from decimal to binary accurately enough
+ * to produce the hexadecimal values shown.
+ */
+
++#include <cmath>
++
+ #include <float.h>
+ #include "math_private.h"
+
+ static const double
+ bp[] = {1.0, 1.5,},
+ dp_h[] = { 0.0, 5.84962487220764160156e-01,}, /* 0x3FE2B803, 0x40000000 */
+ dp_l[] = { 0.0, 1.35003920212974897128e-08,}, /* 0x3E4CFDEB, 0x43CFD006 */
+ zero = 0.0,
+@@ -151,17 +153,17 @@ double
+ return (hy<0)?-y: zero;
+ }
+ if(iy==0x3ff00000) { /* y is +-1 */
+ if(hy<0) return one/x; else return x;
+ }
+ if(hy==0x40000000) return x*x; /* y is 2 */
+ if(hy==0x3fe00000) { /* y is 0.5 */
+ if(hx>=0) /* x >= +0 */
+- return sqrt(x);
++ return std::sqrt(x);
+ }
+ }
+
+ ax = fabs(x);
+ /* special value of x */
+ if(lx==0) {
+ if(ix==0x7ff00000||ix==0||ix==0x3ff00000){
+ z = ax; /*x is +-0,+-inf,+-1*/
+diff --git a/modules/fdlibm/src/s_asinh.cpp b/modules/fdlibm/src/s_asinh.cpp
+--- a/modules/fdlibm/src/s_asinh.cpp
++++ b/modules/fdlibm/src/s_asinh.cpp
+@@ -19,16 +19,17 @@
+ * asinh(x) = sign(x) * log [ |x| + sqrt(x*x+1) ]
+ * we have
+ * asinh(x) := x if 1+x*x=1,
+ * := sign(x)*(log(x)+ln2)) for large |x|, else
+ * := sign(x)*log(2|x|+1/(|x|+sqrt(x*x+1))) if|x|>2, else
+ * := sign(x)*log1p(|x| + x^2/(1 + sqrt(1+x^2)))
+ */
+
++#include <cmath>
+ #include <float.h>
+
+ #include "math_private.h"
+
+ static const double
+ one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
+ ln2 = 6.93147180559945286227e-01, /* 0x3FE62E42, 0xFEFA39EF */
+ huge= 1.00000000000000000000e+300;
+@@ -43,15 +44,15 @@ asinh(double x)
+ if(ix>=0x7ff00000) return x+x; /* x is inf or NaN */
+ if(ix< 0x3e300000) { /* |x|<2**-28 */
+ if(huge+x>one) return x; /* return x inexact except 0 */
+ }
+ if(ix>0x41b00000) { /* |x| > 2**28 */
+ w = __ieee754_log(fabs(x))+ln2;
+ } else if (ix>0x40000000) { /* 2**28 > |x| > 2.0 */
+ t = fabs(x);
+- w = __ieee754_log(2.0*t+one/(__ieee754_sqrt(x*x+one)+t));
++ w = __ieee754_log(2.0*t+one/(std::sqrt(x*x+one)+t));
+ } else { /* 2.0 > |x| > 2**-28 */
+ t = x*x;
+- w =log1p(fabs(x)+t/(one+__ieee754_sqrt(one+t)));
++ w =log1p(fabs(x)+t/(one+std::sqrt(one+t)));
+ }
+ if(hx>0) return w; else return -w;
+ }