Merge branch 'release' into Pale_Moon-release

18 files changed, 167 insertions, 549 deletions

diff --git a/modules/fdlibm/src/e_acos.cpp b/modules/fdlibm/src/e_acos.cpp
index 12be296cb..4f497b3b3 100644
--- a/modules/fdlibm/src/e_acos.cpp
+++ b/modules/fdlibm/src/e_acos.cpp
@@ -38,6 +38,7 @@
  * Function needed: sqrt
  */
 
+#include <cmath>
 #include <float.h>
 
 #include "math_private.h"
@@ -87,13 +88,13 @@ __ieee754_acos(double x)
 	    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);
diff --git a/modules/fdlibm/src/e_acosh.cpp b/modules/fdlibm/src/e_acosh.cpp
index bdabcec3e..ce52d5aaa 100644
--- a/modules/fdlibm/src/e_acosh.cpp
+++ b/modules/fdlibm/src/e_acosh.cpp
@@ -29,6 +29,7 @@
  *	acosh(NaN) is NaN without signal.
  */
 
+#include <cmath>
 #include <float.h>
 
 #include "math_private.h"
@@ -55,9 +56,9 @@ __ieee754_acosh(double x)
 	    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
index 396f49449..e896bde9e 100644
--- a/modules/fdlibm/src/e_asin.cpp
+++ b/modules/fdlibm/src/e_asin.cpp
@@ -6,7 +6,7 @@
  *
  * Developed at SunSoft, a Sun Microsystems, Inc. business.
  * Permission to use, copy, modify, and distribute this
- * software is freely granted, provided that this notice 
+ * software is freely granted, provided that this notice
  * is preserved.
  * ====================================================
  */
@@ -44,6 +44,7 @@
  *
  */
 
+#include <cmath>
 #include <float.h>
 
 #include "math_private.h"
@@ -95,7 +96,7 @@ __ieee754_asin(double 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);
diff --git a/modules/fdlibm/src/e_atan2.cpp b/modules/fdlibm/src/e_atan2.cpp
index 9990072cf..f45ad187f 100644
--- a/modules/fdlibm/src/e_atan2.cpp
+++ b/modules/fdlibm/src/e_atan2.cpp
@@ -69,8 +69,8 @@ __ieee754_atan2(double y, double x)
 	iy = hy&0x7fffffff;
 	if(((ix|((lx|-lx)>>31))>0x7ff00000)||
 	   ((iy|((ly|-ly)>>31))>0x7ff00000))	/* x or y is NaN */
-	   return x+y;
-	if((hx-0x3ff00000|lx)==0) return atan(y);   /* x=1.0 */
+	    return nan_mix(x, y);
+	if(hx==0x3ff00000&&lx==0) return atan(y);   /* x=1.0 */
 	m = ((hy>>31)&1)|((hx>>30)&2);	/* 2*sign(x)+sign(y) */
 
     /* when y = 0 */
diff --git a/modules/fdlibm/src/e_exp.cpp b/modules/fdlibm/src/e_exp.cpp
index b31979134..92af819ce 100644
--- a/modules/fdlibm/src/e_exp.cpp
+++ b/modules/fdlibm/src/e_exp.cpp
@@ -96,6 +96,8 @@ P3   =  6.61375632143793436117e-05, /* 0x3F11566A, 0xAF25DE2C */
 P4   = -1.65339022054652515390e-06, /* 0xBEBBBD41, 0xC5D26BF1 */
 P5   =  4.13813679705723846039e-08; /* 0x3E663769, 0x72BEA4D0 */
 
+static const double E = 2.7182818284590452354;	/* e */
+
 static volatile double
 huge	= 1.0e+300,
 twom1000= 9.33263618503218878990e-302;     /* 2**-1000=0x01700000,0*/
@@ -127,6 +129,7 @@ __ieee754_exp(double x)	/* default IEEE double exp */
     /* argument reduction */
 	if(hx > 0x3fd62e42) {		/* if  |x| > 0.5 ln2 */ 
 	    if(hx < 0x3FF0A2B2) {	/* and |x| < 1.5 ln2 */
+		if (x == 1.0) return E;
 		hi = x-ln2HI[xsb]; lo=ln2LO[xsb]; k = 1-xsb-xsb;
 	    } else {
 		k  = (int)(invln2*x+halF[xsb]);
@@ -144,9 +147,9 @@ __ieee754_exp(double x)	/* default IEEE double exp */
     /* x is now in primary range */
 	t  = x*x;
 	if(k >= -1021)
-	    INSERT_WORDS(twopk,0x3ff00000+(k<<20), 0);
+	    INSERT_WORDS(twopk,((u_int32_t)(0x3ff+k))<<20, 0);
 	else
-	    INSERT_WORDS(twopk,0x3ff00000+((k+1000)<<20), 0);
+	    INSERT_WORDS(twopk,((u_int32_t)(0x3ff+(k+1000)))<<20, 0);
 	c  = x - t*(P1+t*(P2+t*(P3+t*(P4+t*P5))));
 	if(k==0) 	return one-((x*c)/(c-2.0)-x); 
 	else 		y = one-((lo-(x*c)/(2.0-c))-hi);
diff --git a/modules/fdlibm/src/e_hypot.cpp b/modules/fdlibm/src/e_hypot.cpp
index f5c7037bb..a23571150 100644
--- a/modules/fdlibm/src/e_hypot.cpp
+++ b/modules/fdlibm/src/e_hypot.cpp
@@ -46,6 +46,7 @@
  * 	than 1 ulps (units in the last place) 
  */
 
+#include <cmath>
 #include <float.h>
 
 #include "math_private.h"
@@ -69,7 +70,7 @@ __ieee754_hypot(double x, double y)
 	   if(ha >= 0x7ff00000) {	/* Inf or NaN */
 	       u_int32_t low;
 	       /* Use original arg order iff result is NaN; quieten sNaNs. */
-	       w = fabs(x+0.0)-fabs(y+0.0);
+	       w = fabsl(x+0.0L)-fabs(y+0);
 	       GET_LOW_WORD(low,a);
 	       if(((ha&0xfffff)|low)==0) w = a;
 	       GET_LOW_WORD(low,b);
@@ -105,7 +106,7 @@ __ieee754_hypot(double x, double y)
 	    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;
@@ -114,7 +115,7 @@ __ieee754_hypot(double x, double y)
 	    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;
diff --git a/modules/fdlibm/src/e_pow.cpp b/modules/fdlibm/src/e_pow.cpp
index 366e3933b..c18226b8a 100644
--- a/modules/fdlibm/src/e_pow.cpp
+++ b/modules/fdlibm/src/e_pow.cpp
@@ -4,7 +4,7 @@
  * Copyright (C) 2004 by Sun Microsystems, Inc. All rights reserved.
  *
  * Permission to use, copy, modify, and distribute this
- * software is freely granted, provided that this notice 
+ * software is freely granted, provided that this notice
  * is preserved.
  * ====================================================
  */
@@ -19,7 +19,7 @@
  *	1. Compute and return log2(x) in two pieces:
  *		log2(x) = w1 + w2,
  *	   where w1 has 53-24 = 29 bit trailing zeros.
- *	2. Perform y*log2(x) = n+y' by simulating multi-precision 
+ *	2. Perform y*log2(x) = n+y' by simulating multi-precision
  *	   arithmetic, where |y'|<=0.5.
  *	3. Return x**y = 2**n*exp(y'*log2)
  *
@@ -47,16 +47,19 @@
  * Accuracy:
  *	pow(x,y) returns x**y nearly rounded. In particular
  *			pow(integer,integer)
- *	always returns the correct integer provided it is 
+ *	always returns the correct integer provided it is
  *	representable.
  *
  * 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 
+ * 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
@@ -64,6 +67,9 @@ 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,
+half    =  0.5,
+qrtr    =  0.25,
+thrd    =  3.3333333333333331e-01, /* 0x3fd55555, 0x55555555 */
 one	=  1.0,
 two	=  2.0,
 two53	=  9007199254740992.0,	/* 0x43400000, 0x00000000 */
@@ -106,15 +112,15 @@ __ieee754_pow(double x, double y)
 	ix = hx&0x7fffffff;  iy = hy&0x7fffffff;
 
     /* y==zero: x**0 = 1 */
-	if((iy|ly)==0) return one; 	
+	if((iy|ly)==0) return one;
 
     /* x==1: 1**y = 1, even if y is NaN */
 	if (hx==0x3ff00000 && lx == 0) return one;
 
     /* y!=zero: result is NaN if either arg is NaN */
 	if(ix > 0x7ff00000 || ((ix==0x7ff00000)&&(lx!=0)) ||
-	   iy > 0x7ff00000 || ((iy==0x7ff00000)&&(ly!=0))) 
-		return (x+0.0)+(y+0.0);
+	   iy > 0x7ff00000 || ((iy==0x7ff00000)&&(ly!=0)))
+	    return nan_mix(x, y);
 
     /* determine if y is an odd int when x < 0
      * yisint = 0	... y is not an integer
@@ -122,22 +128,22 @@ __ieee754_pow(double x, double y)
      * yisint = 2	... y is an even int
      */
 	yisint  = 0;
-	if(hx<0) {	
+	if(hx<0) {
 	    if(iy>=0x43400000) yisint = 2; /* even integer y */
 	    else if(iy>=0x3ff00000) {
 		k = (iy>>20)-0x3ff;	   /* exponent */
 		if(k>20) {
 		    j = ly>>(52-k);
-		    if((j<<(52-k))==ly) yisint = 2-(j&1);
+		    if(((u_int32_t)j<<(52-k))==ly) yisint = 2-(j&1);
 		} else if(ly==0) {
 		    j = iy>>(20-k);
 		    if((j<<(20-k))==iy) yisint = 2-(j&1);
 		}
-	    }		
-	} 
+	    }
+	}
 
     /* special value of y */
-	if(ly==0) { 	
+	if(ly==0) {
 	    if (iy==0x7ff00000) {	/* y is +-inf */
 	        if(((ix-0x3ff00000)|lx)==0)
 		    return  one;	/* (-1)**+-inf is 1 */
@@ -145,14 +151,14 @@ __ieee754_pow(double x, double y)
 		    return (hy>=0)? y: zero;
 	        else			/* (|x|<1)**-,+inf = inf,0 */
 		    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);
 	    }
 	}
 
@@ -165,13 +171,13 @@ __ieee754_pow(double x, double y)
 		if(hx<0) {
 		    if(((ix-0x3ff00000)|yisint)==0) {
 			z = (z-z)/(z-z); /* (-1)**non-int is NaN */
-		    } else if(yisint==1) 
+		    } else if(yisint==1)
 			z = -z;		/* (x<0)**odd = -(|x|**odd) */
 		}
 		return z;
 	    }
 	}
-    
+
     /* CYGNUS LOCAL + fdlibm-5.3 fix: This used to be
 	n = (hx>>31)+1;
        but ANSI C says a right shift of a signed negative quantity is
@@ -193,10 +199,10 @@ __ieee754_pow(double x, double y)
 	/* over/underflow if x is not close to one */
 	    if(ix<0x3fefffff) return (hy<0)? s*huge*huge:s*tiny*tiny;
 	    if(ix>0x3ff00000) return (hy>0)? s*huge*huge:s*tiny*tiny;
-	/* now |1-x| is tiny <= 2**-20, suffice to compute 
+	/* now |1-x| is tiny <= 2**-20, suffice to compute
 	   log(x) by x-x^2/2+x^3/3-x^4/4 */
 	    t = ax-one;		/* t has 20 trailing zeros */
-	    w = (t*t)*(0.5-t*(0.3333333333333333333333-t*0.25));
+	    w = (t*t)*(half-t*(thrd-t*qrtr));
 	    u = ivln2_h*t;	/* ivln2_h has 21 sig. bits */
 	    v = t*ivln2_l-w*ivln2;
 	    t1 = u+v;
@@ -233,9 +239,9 @@ __ieee754_pow(double x, double y)
 	    r = s2*s2*(L1+s2*(L2+s2*(L3+s2*(L4+s2*(L5+s2*L6)))));
 	    r += s_l*(s_h+ss);
 	    s2  = s_h*s_h;
-	    t_h = 3.0+s2+r;
+	    t_h = 3+s2+r;
 	    SET_LOW_WORD(t_h,0);
-	    t_l = r-((t_h-3.0)-s2);
+	    t_l = r-((t_h-3)-s2);
 	/* u+v = ss*(1+...) */
 	    u = s_h*t_h;
 	    v = s_l*t_h+t_l*ss;
@@ -246,7 +252,7 @@ __ieee754_pow(double x, double y)
 	    z_h = cp_h*p_h;		/* cp_h+cp_l = 2/(3*log2) */
 	    z_l = cp_l*p_h+p_l*cp+dp_l[k];
 	/* log2(ax) = (ss+..)*2/(3*log2) = n + dp_h + z_h + z_l */
-	    t = (double)n;
+	    t = n;
 	    t1 = (((z_h+z_l)+dp_h[k])+t);
 	    SET_LOW_WORD(t1,0);
 	    t2 = z_l-(((t1-t)-dp_h[k])-z_h);
@@ -286,7 +292,7 @@ __ieee754_pow(double x, double y)
 	    n = ((n&0x000fffff)|0x00100000)>>(20-k);
 	    if(j<0) n = -n;
 	    p_h -= t;
-	} 
+	}
 	t = p_l+p_h;
 	SET_LOW_WORD(t,0);
 	u = t*lg2_h;
diff --git a/modules/fdlibm/src/e_sqrt.cpp b/modules/fdlibm/src/e_sqrt.cpp
deleted file mode 100644
index 681505390..000000000
--- a/modules/fdlibm/src/e_sqrt.cpp
+++ /dev/null
@@ -1,446 +0,0 @@
-
-/* @(#)e_sqrt.c 1.3 95/01/18 */
-/*
- * ====================================================
- * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
- *
- * Developed at SunSoft, a Sun Microsystems, Inc. business.
- * Permission to use, copy, modify, and distribute this
- * software is freely granted, provided that this notice 
- * is preserved.
- * ====================================================
- */
-
-//#include <sys/cdefs.h>
-//__FBSDID("$FreeBSD$");
-
-/* __ieee754_sqrt(x)
- * Return correctly rounded sqrt.
- *           ------------------------------------------
- *	     |  Use the hardware sqrt if you have one |
- *           ------------------------------------------
- * Method: 
- *   Bit by bit method using integer arithmetic. (Slow, but portable) 
- *   1. Normalization
- *	Scale x to y in [1,4) with even powers of 2: 
- *	find an integer k such that  1 <= (y=x*2^(2k)) < 4, then
- *		sqrt(x) = 2^k * sqrt(y)
- *   2. Bit by bit computation
- *	Let q  = sqrt(y) truncated to i bit after binary point (q = 1),
- *	     i							 0
- *                                     i+1         2
- *	    s  = 2*q , and	y  =  2   * ( y - q  ).		(1)
- *	     i      i            i                 i
- *                                                        
- *	To compute q    from q , one checks whether 
- *		    i+1       i                       
- *
- *			      -(i+1) 2
- *			(q + 2      ) <= y.			(2)
- *     			  i
- *							      -(i+1)
- *	If (2) is false, then q   = q ; otherwise q   = q  + 2      .
- *		 	       i+1   i             i+1   i
- *
- *	With some algebric manipulation, it is not difficult to see
- *	that (2) is equivalent to 
- *                             -(i+1)
- *			s  +  2       <= y			(3)
- *			 i                i
- *
- *	The advantage of (3) is that s  and y  can be computed by 
- *				      i      i
- *	the following recurrence formula:
- *	    if (3) is false
- *
- *	    s     =  s  ,	y    = y   ;			(4)
- *	     i+1      i		 i+1    i
- *
- *	    otherwise,
- *                         -i                     -(i+1)
- *	    s	  =  s  + 2  ,  y    = y  -  s  - 2  		(5)
- *           i+1      i          i+1    i     i
- *				
- *	One may easily use induction to prove (4) and (5). 
- *	Note. Since the left hand side of (3) contain only i+2 bits,
- *	      it does not necessary to do a full (53-bit) comparison 
- *	      in (3).
- *   3. Final rounding
- *	After generating the 53 bits result, we compute one more bit.
- *	Together with the remainder, we can decide whether the
- *	result is exact, bigger than 1/2ulp, or less than 1/2ulp
- *	(it will never equal to 1/2ulp).
- *	The rounding mode can be detected by checking whether
- *	huge + tiny is equal to huge, and whether huge - tiny is
- *	equal to huge for some floating point number "huge" and "tiny".
- *		
- * Special cases:
- *	sqrt(+-0) = +-0 	... exact
- *	sqrt(inf) = inf
- *	sqrt(-ve) = NaN		... with invalid signal
- *	sqrt(NaN) = NaN		... with invalid signal for signaling NaN
- *
- * Other methods : see the appended file at the end of the program below.
- *---------------
- */
-
-#include <float.h>
-
-#include "math_private.h"
-
-static	const double	one	= 1.0, tiny=1.0e-300;
-
-double
-__ieee754_sqrt(double x)
-{
-	double z;
-	int32_t sign = (int)0x80000000;
-	int32_t ix0,s0,q,m,t,i;
-	u_int32_t r,t1,s1,ix1,q1;
-
-	EXTRACT_WORDS(ix0,ix1,x);
-
-    /* take care of Inf and NaN */
-	if((ix0&0x7ff00000)==0x7ff00000) {			
-	    return x*x+x;		/* sqrt(NaN)=NaN, sqrt(+inf)=+inf
-					   sqrt(-inf)=sNaN */
-	} 
-    /* take care of zero */
-	if(ix0<=0) {
-	    if(((ix0&(~sign))|ix1)==0) return x;/* sqrt(+-0) = +-0 */
-	    else if(ix0<0)
-		return (x-x)/(x-x);		/* sqrt(-ve) = sNaN */
-	}
-    /* normalize x */
-	m = (ix0>>20);
-	if(m==0) {				/* subnormal x */
-	    while(ix0==0) {
-		m -= 21;
-		ix0 |= (ix1>>11); ix1 <<= 21;
-	    }
-	    for(i=0;(ix0&0x00100000)==0;i++) ix0<<=1;
-	    m -= i-1;
-	    ix0 |= (ix1>>(32-i));
-	    ix1 <<= i;
-	}
-	m -= 1023;	/* unbias exponent */
-	ix0 = (ix0&0x000fffff)|0x00100000;
-	if(m&1){	/* odd m, double x to make it even */
-	    ix0 += ix0 + ((ix1&sign)>>31);
-	    ix1 += ix1;
-	}
-	m >>= 1;	/* m = [m/2] */
-
-    /* generate sqrt(x) bit by bit */
-	ix0 += ix0 + ((ix1&sign)>>31);
-	ix1 += ix1;
-	q = q1 = s0 = s1 = 0;	/* [q,q1] = sqrt(x) */
-	r = 0x00200000;		/* r = moving bit from right to left */
-
-	while(r!=0) {
-	    t = s0+r; 
-	    if(t<=ix0) { 
-		s0   = t+r; 
-		ix0 -= t; 
-		q   += r; 
-	    } 
-	    ix0 += ix0 + ((ix1&sign)>>31);
-	    ix1 += ix1;
-	    r>>=1;
-	}
-
-	r = sign;
-	while(r!=0) {
-	    t1 = s1+r; 
-	    t  = s0;
-	    if((t<ix0)||((t==ix0)&&(t1<=ix1))) { 
-		s1  = t1+r;
-		if(((t1&sign)==sign)&&(s1&sign)==0) s0 += 1;
-		ix0 -= t;
-		if (ix1 < t1) ix0 -= 1;
-		ix1 -= t1;
-		q1  += r;
-	    }
-	    ix0 += ix0 + ((ix1&sign)>>31);
-	    ix1 += ix1;
-	    r>>=1;
-	}
-
-    /* use floating add to find out rounding direction */
-	if((ix0|ix1)!=0) {
-	    z = one-tiny; /* trigger inexact flag */
-	    if (z>=one) {
-	        z = one+tiny;
-	        if (q1==(u_int32_t)0xffffffff) { q1=0; q += 1;}
-		else if (z>one) {
-		    if (q1==(u_int32_t)0xfffffffe) q+=1;
-		    q1+=2; 
-		} else
-	            q1 += (q1&1);
-	    }
-	}
-	ix0 = (q>>1)+0x3fe00000;
-	ix1 =  q1>>1;
-	if ((q&1)==1) ix1 |= sign;
-	ix0 += (m <<20);
-	INSERT_WORDS(z,ix0,ix1);
-	return z;
-}
-
-/*
-Other methods  (use floating-point arithmetic)
--------------
-(This is a copy of a drafted paper by Prof W. Kahan 
-and K.C. Ng, written in May, 1986)
-
-	Two algorithms are given here to implement sqrt(x) 
-	(IEEE double precision arithmetic) in software.
-	Both supply sqrt(x) correctly rounded. The first algorithm (in
-	Section A) uses newton iterations and involves four divisions.
-	The second one uses reciproot iterations to avoid division, but
-	requires more multiplications. Both algorithms need the ability
-	to chop results of arithmetic operations instead of round them, 
-	and the INEXACT flag to indicate when an arithmetic operation
-	is executed exactly with no roundoff error, all part of the 
-	standard (IEEE 754-1985). The ability to perform shift, add,
-	subtract and logical AND operations upon 32-bit words is needed
-	too, though not part of the standard.
-
-A.  sqrt(x) by Newton Iteration
-
-   (1)	Initial approximation
-
-	Let x0 and x1 be the leading and the trailing 32-bit words of
-	a floating point number x (in IEEE double format) respectively 
-
-	    1    11		     52				  ...widths
-	   ------------------------------------------------------
-	x: |s|	  e     |	      f				|
-	   ------------------------------------------------------
-	      msb    lsb  msb				      lsb ...order
-
- 
-	     ------------------------  	     ------------------------
-	x0:  |s|   e    |    f1     |	 x1: |          f2           |
-	     ------------------------  	     ------------------------
-
-	By performing shifts and subtracts on x0 and x1 (both regarded
-	as integers), we obtain an 8-bit approximation of sqrt(x) as
-	follows.
-
-		k  := (x0>>1) + 0x1ff80000;
-		y0 := k - T1[31&(k>>15)].	... y ~ sqrt(x) to 8 bits
-	Here k is a 32-bit integer and T1[] is an integer array containing
-	correction terms. Now magically the floating value of y (y's
-	leading 32-bit word is y0, the value of its trailing word is 0)
-	approximates sqrt(x) to almost 8-bit.
-
-	Value of T1:
-	static int T1[32]= {
-	0,	1024,	3062,	5746,	9193,	13348,	18162,	23592,
-	29598,	36145,	43202,	50740,	58733,	67158,	75992,	85215,
-	83599,	71378,	60428,	50647,	41945,	34246,	27478,	21581,
-	16499,	12183,	8588,	5674,	3403,	1742,	661,	130,};
-
-    (2)	Iterative refinement
-
-	Apply Heron's rule three times to y, we have y approximates 
-	sqrt(x) to within 1 ulp (Unit in the Last Place):
-
-		y := (y+x/y)/2		... almost 17 sig. bits
-		y := (y+x/y)/2		... almost 35 sig. bits
-		y := y-(y-x/y)/2	... within 1 ulp
-
-
-	Remark 1.
-	    Another way to improve y to within 1 ulp is:
-
-		y := (y+x/y)		... almost 17 sig. bits to 2*sqrt(x)
-		y := y - 0x00100006	... almost 18 sig. bits to sqrt(x)
-
-				2
-			    (x-y )*y
-		y := y + 2* ----------	...within 1 ulp
-			       2
-			     3y  + x
-
-
-	This formula has one division fewer than the one above; however,
-	it requires more multiplications and additions. Also x must be
-	scaled in advance to avoid spurious overflow in evaluating the
-	expression 3y*y+x. Hence it is not recommended uless division
-	is slow. If division is very slow, then one should use the 
-	reciproot algorithm given in section B.
-
-    (3) Final adjustment
-
-	By twiddling y's last bit it is possible to force y to be 
-	correctly rounded according to the prevailing rounding mode
-	as follows. Let r and i be copies of the rounding mode and
-	inexact flag before entering the square root program. Also we
-	use the expression y+-ulp for the next representable floating
-	numbers (up and down) of y. Note that y+-ulp = either fixed
-	point y+-1, or multiply y by nextafter(1,+-inf) in chopped
-	mode.
-
-		I := FALSE;	... reset INEXACT flag I
-		R := RZ;	... set rounding mode to round-toward-zero
-		z := x/y;	... chopped quotient, possibly inexact
-		If(not I) then {	... if the quotient is exact
-		    if(z=y) {
-		        I := i;	 ... restore inexact flag
-		        R := r;  ... restore rounded mode
-		        return sqrt(x):=y.
-		    } else {
-			z := z - ulp;	... special rounding
-		    }
-		}
-		i := TRUE;		... sqrt(x) is inexact
-		If (r=RN) then z=z+ulp	... rounded-to-nearest
-		If (r=RP) then {	... round-toward-+inf
-		    y = y+ulp; z=z+ulp;
-		}
-		y := y+z;		... chopped sum
-		y0:=y0-0x00100000;	... y := y/2 is correctly rounded.
-	        I := i;	 		... restore inexact flag
-	        R := r;  		... restore rounded mode
-	        return sqrt(x):=y.
-		    
-    (4)	Special cases
-
-	Square root of +inf, +-0, or NaN is itself;
-	Square root of a negative number is NaN with invalid signal.
-
-
-B.  sqrt(x) by Reciproot Iteration
-
-   (1)	Initial approximation
-
-	Let x0 and x1 be the leading and the trailing 32-bit words of
-	a floating point number x (in IEEE double format) respectively
-	(see section A). By performing shifs and subtracts on x0 and y0,
-	we obtain a 7.8-bit approximation of 1/sqrt(x) as follows.
-
-	    k := 0x5fe80000 - (x0>>1);
-	    y0:= k - T2[63&(k>>14)].	... y ~ 1/sqrt(x) to 7.8 bits
-
-	Here k is a 32-bit integer and T2[] is an integer array 
-	containing correction terms. Now magically the floating
-	value of y (y's leading 32-bit word is y0, the value of
-	its trailing word y1 is set to zero) approximates 1/sqrt(x)
-	to almost 7.8-bit.
-
-	Value of T2:
-	static int T2[64]= {
-	0x1500,	0x2ef8,	0x4d67,	0x6b02,	0x87be,	0xa395,	0xbe7a,	0xd866,
-	0xf14a,	0x1091b,0x11fcd,0x13552,0x14999,0x15c98,0x16e34,0x17e5f,
-	0x18d03,0x19a01,0x1a545,0x1ae8a,0x1b5c4,0x1bb01,0x1bfde,0x1c28d,
-	0x1c2de,0x1c0db,0x1ba73,0x1b11c,0x1a4b5,0x1953d,0x18266,0x16be0,
-	0x1683e,0x179d8,0x18a4d,0x19992,0x1a789,0x1b445,0x1bf61,0x1c989,
-	0x1d16d,0x1d77b,0x1dddf,0x1e2ad,0x1e5bf,0x1e6e8,0x1e654,0x1e3cd,
-	0x1df2a,0x1d635,0x1cb16,0x1be2c,0x1ae4e,0x19bde,0x1868e,0x16e2e,
-	0x1527f,0x1334a,0x11051,0xe951,	0xbe01,	0x8e0d,	0x5924,	0x1edd,};
-
-    (2)	Iterative refinement
-
-	Apply Reciproot iteration three times to y and multiply the
-	result by x to get an approximation z that matches sqrt(x)
-	to about 1 ulp. To be exact, we will have 
-		-1ulp < sqrt(x)-z<1.0625ulp.
-	
-	... set rounding mode to Round-to-nearest
-	   y := y*(1.5-0.5*x*y*y)	... almost 15 sig. bits to 1/sqrt(x)
-	   y := y*((1.5-2^-30)+0.5*x*y*y)... about 29 sig. bits to 1/sqrt(x)
-	... special arrangement for better accuracy
-	   z := x*y			... 29 bits to sqrt(x), with z*y<1
-	   z := z + 0.5*z*(1-z*y)	... about 1 ulp to sqrt(x)
-
-	Remark 2. The constant 1.5-2^-30 is chosen to bias the error so that
-	(a) the term z*y in the final iteration is always less than 1; 
-	(b) the error in the final result is biased upward so that
-		-1 ulp < sqrt(x) - z < 1.0625 ulp
-	    instead of |sqrt(x)-z|<1.03125ulp.
-
-    (3)	Final adjustment
-
-	By twiddling y's last bit it is possible to force y to be 
-	correctly rounded according to the prevailing rounding mode
-	as follows. Let r and i be copies of the rounding mode and
-	inexact flag before entering the square root program. Also we
-	use the expression y+-ulp for the next representable floating
-	numbers (up and down) of y. Note that y+-ulp = either fixed
-	point y+-1, or multiply y by nextafter(1,+-inf) in chopped
-	mode.
-
-	R := RZ;		... set rounding mode to round-toward-zero
-	switch(r) {
-	    case RN:		... round-to-nearest
-	       if(x<= z*(z-ulp)...chopped) z = z - ulp; else
-	       if(x<= z*(z+ulp)...chopped) z = z; else z = z+ulp;
-	       break;
-	    case RZ:case RM:	... round-to-zero or round-to--inf
-	       R:=RP;		... reset rounding mod to round-to-+inf
-	       if(x<z*z ... rounded up) z = z - ulp; else
-	       if(x>=(z+ulp)*(z+ulp) ...rounded up) z = z+ulp;
-	       break;
-	    case RP:		... round-to-+inf
-	       if(x>(z+ulp)*(z+ulp)...chopped) z = z+2*ulp; else
-	       if(x>z*z ...chopped) z = z+ulp;
-	       break;
-	}
-
-	Remark 3. The above comparisons can be done in fixed point. For
-	example, to compare x and w=z*z chopped, it suffices to compare
-	x1 and w1 (the trailing parts of x and w), regarding them as
-	two's complement integers.
-
-	...Is z an exact square root?
-	To determine whether z is an exact square root of x, let z1 be the
-	trailing part of z, and also let x0 and x1 be the leading and
-	trailing parts of x.
-
-	If ((z1&0x03ffffff)!=0)	... not exact if trailing 26 bits of z!=0
-	    I := 1;		... Raise Inexact flag: z is not exact
-	else {
-	    j := 1 - [(x0>>20)&1]	... j = logb(x) mod 2
-	    k := z1 >> 26;		... get z's 25-th and 26-th 
-					    fraction bits
-	    I := i or (k&j) or ((k&(j+j+1))!=(x1&3));
-	}
-	R:= r		... restore rounded mode
-	return sqrt(x):=z.
-
-	If multiplication is cheaper then the foregoing red tape, the 
-	Inexact flag can be evaluated by
-
-	    I := i;
-	    I := (z*z!=x) or I.
-
-	Note that z*z can overwrite I; this value must be sensed if it is 
-	True.
-
-	Remark 4. If z*z = x exactly, then bit 25 to bit 0 of z1 must be
-	zero.
-
-		    --------------------
-		z1: |        f2        | 
-		    --------------------
-		bit 31		   bit 0
-
-	Further more, bit 27 and 26 of z1, bit 0 and 1 of x1, and the odd
-	or even of logb(x) have the following relations:
-
-	-------------------------------------------------
-	bit 27,26 of z1		bit 1,0 of x1	logb(x)
-	-------------------------------------------------
-	00			00		odd and even
-	01			01		even
-	10			10		odd
-	10			00		even
-	11			01		even
-	-------------------------------------------------
-
-    (4)	Special cases (see (4) of Section A).	
- 
- */
- 
diff --git a/modules/fdlibm/src/fdlibm.h b/modules/fdlibm/src/fdlibm.h
index 0ad215911..324e5d0b0 100644
--- a/modules/fdlibm/src/fdlibm.h
+++ b/modules/fdlibm/src/fdlibm.h
@@ -33,7 +33,6 @@ double	log(double);
 double	log10(double);
 
 double	pow(double, double);
-double	sqrt(double);
 double	fabs(double);
 
 double	floor(double);
diff --git a/modules/fdlibm/src/k_exp.cpp b/modules/fdlibm/src/k_exp.cpp
index a0699fa4a..9394c8fd8 100644
--- a/modules/fdlibm/src/k_exp.cpp
+++ b/modules/fdlibm/src/k_exp.cpp
@@ -1,4 +1,6 @@
 /*-
+ * SPDX-License-Identifier: BSD-2-Clause-FreeBSD
+ *
  * Copyright (c) 2011 David Schultz <das@FreeBSD.ORG>
  * All rights reserved.
  *
diff --git a/modules/fdlibm/src/math_private.h b/modules/fdlibm/src/math_private.h
index 6947cecc0..d9ec44817 100644
--- a/modules/fdlibm/src/math_private.h
+++ b/modules/fdlibm/src/math_private.h
@@ -38,11 +38,54 @@
  * endianness at run time.
  */
 
-#ifdef WIN32
+#ifndef u_int32_t
 #define u_int32_t uint32_t
+#endif
+#ifndef u_int64_t
 #define u_int64_t uint64_t
 #endif
 
+/* A union which permits us to convert between a long double and
+   four 32 bit ints.  */
+
+#if MOZ_BIG_ENDIAN
+
+typedef union
+{
+  long double value;
+  struct {
+    u_int32_t mswhi;
+    u_int32_t mswlo;
+    u_int32_t lswhi;
+    u_int32_t lswlo;
+  } parts32;
+  struct {
+    u_int64_t msw;
+    u_int64_t lsw;
+  } parts64;
+} ieee_quad_shape_type;
+
+#endif
+
+#if MOZ_LITTLE_ENDIAN
+
+typedef union
+{
+  long double value;
+  struct {
+    u_int32_t lswlo;
+    u_int32_t lswhi;
+    u_int32_t mswlo;
+    u_int32_t mswhi;
+  } parts32;
+  struct {
+    u_int64_t lsw;
+    u_int64_t msw;
+  } parts64;
+} ieee_quad_shape_type;
+
+#endif
+
 /*
  * A union which permits us to convert between a double and two 32 bit
  * ints.
@@ -305,8 +348,9 @@ do {								\
 
 /* Support switching the mode to FP_PE if necessary. */
 #if defined(__i386__) && !defined(NO_FPSETPREC)
-#define	ENTERI()				\
-	long double __retval;			\
+#define	ENTERI() ENTERIT(long double)
+#define	ENTERIT(returntype)			\
+	returntype __retval;			\
 	fp_prec_t __oprec;			\
 						\
 	if ((__oprec = fpgetprec()) != FP_PE)	\
@@ -317,9 +361,22 @@ do {								\
 		fpsetprec(__oprec);		\
 	RETURNF(__retval);			\
 } while (0)
+#define	ENTERV()				\
+	fp_prec_t __oprec;			\
+						\
+	if ((__oprec = fpgetprec()) != FP_PE)	\
+		fpsetprec(FP_PE)
+#define	RETURNV() do {				\
+	if (__oprec != FP_PE)			\
+		fpsetprec(__oprec);		\
+	return;			\
+} while (0)
 #else
-#define	ENTERI(x)
+#define	ENTERI()
+#define	ENTERIT(x)
 #define	RETURNI(x)	RETURNF(x)
+#define	ENTERV()
+#define	RETURNV()	return
 #endif
 
 /* Default return statement if hack*_t() is not used. */
@@ -434,6 +491,31 @@ do {								\
  */
 void _scan_nan(uint32_t *__words, int __num_words, const char *__s);
 
+/*
+ * Mix 0, 1 or 2 NaNs.  First add 0 to each arg.  This normally just turns
+ * signaling NaNs into quiet NaNs by setting a quiet bit.  We do this
+ * because we want to never return a signaling NaN, and also because we
+ * don't want the quiet bit to affect the result.  Then mix the converted
+ * args using the specified operation.
+ *
+ * When one arg is NaN, the result is typically that arg quieted.  When both
+ * args are NaNs, the result is typically the quietening of the arg whose
+ * mantissa is largest after quietening.  When neither arg is NaN, the
+ * result may be NaN because it is indeterminate, or finite for subsequent
+ * construction of a NaN as the indeterminate 0.0L/0.0L.
+ *
+ * Technical complications: the result in bits after rounding to the final
+ * precision might depend on the runtime precision and/or on compiler
+ * optimizations, especially when different register sets are used for
+ * different precisions.  Try to make the result not depend on at least the
+ * runtime precision by always doing the main mixing step in long double
+ * precision.  Try to reduce dependencies on optimizations by adding the
+ * the 0's in different precisions (unless everything is in long double
+ * precision).
+ */
+#define	nan_mix(x, y)		(nan_mix_op((x), (y), +))
+#define	nan_mix_op(x, y, op)	(((x) + 0.0L) op ((y) + 0))
+
 #ifdef _COMPLEX_H
 
 /*
@@ -509,48 +591,6 @@ CMPLXL(long double x, long double y)
 
 #endif /* _COMPLEX_H */
  
-#ifdef __GNUCLIKE_ASM
-
-/* Asm versions of some functions. */
-
-#ifdef __amd64__
-static __inline int
-irint(double x)
-{
-	int n;
-
-	asm("cvtsd2si %1,%0" : "=r" (n) : "x" (x));
-	return (n);
-}
-#define	HAVE_EFFICIENT_IRINT
-#endif
-
-#ifdef __i386__
-static __inline int
-irint(double x)
-{
-	int n;
-
-	asm("fistl %0" : "=m" (n) : "t" (x));
-	return (n);
-}
-#define	HAVE_EFFICIENT_IRINT
-#endif
-
-#if defined(__amd64__) || defined(__i386__)
-static __inline int
-irintl(long double x)
-{
-	int n;
-
-	asm("fistl %0" : "=m" (n) : "t" (x));
-	return (n);
-}
-#define	HAVE_EFFICIENT_IRINTL
-#endif
-
-#endif /* __GNUCLIKE_ASM */
-
 #ifdef DEBUG
 #if defined(__amd64__) || defined(__i386__)
 #define	breakpoint()	asm("int $3")
@@ -757,7 +797,6 @@ irintl(long double x)
 #define log fdlibm::log
 #define log10 fdlibm::log10
 #define pow fdlibm::pow
-#define sqrt fdlibm::sqrt
 #define ceil fdlibm::ceil
 #define ceilf fdlibm::ceilf
 #define fabs fdlibm::fabs
diff --git a/modules/fdlibm/src/moz.build b/modules/fdlibm/src/moz.build
index b197881ac..be5bf3d9b 100644
--- a/modules/fdlibm/src/moz.build
+++ b/modules/fdlibm/src/moz.build
@@ -10,26 +10,35 @@ EXPORTS += [
 
 FINAL_LIBRARY = 'js'
 
-if CONFIG['GNU_CXX']:
+if CONFIG['CC_TYPE'] in ('clang', 'gcc'):
     CXXFLAGS += [
         '-Wno-parentheses',
         '-Wno-sign-compare',
     ]
 
-if CONFIG['CLANG_CXX']:
+if CONFIG['CC_TYPE'] == 'clang':
     CXXFLAGS += [
         '-Wno-dangling-else',
     ]
 
-if CONFIG['_MSC_VER']:
+if CONFIG['CC_TYPE'] in ('msvc', 'clang-cl'):
     CXXFLAGS += [
-        '-wd4018', # signed/unsigned mismatch
         '-wd4146', # unary minus operator applied to unsigned type
         '-wd4305', # truncation from 'double' to 'const float'
         '-wd4723', # potential divide by 0
         '-wd4756', # overflow in constant arithmetic
     ]
 
+if CONFIG['CC_TYPE'] == 'msvc':
+    CXXFLAGS += [
+        '-wd4018', # signed/unsigned mismatch
+    ]
+
+if CONFIG['CC_TYPE'] == 'clang-cl':
+    CXXFLAGS += [
+        '-Wno-sign-compare', # signed/unsigned mismatch
+    ]
+
 SOURCES += [
     'e_acos.cpp',
     'e_acosh.cpp',
@@ -44,7 +53,6 @@ SOURCES += [
     'e_log2.cpp',
     'e_pow.cpp',
     'e_sinh.cpp',
-    'e_sqrt.cpp',
     'k_exp.cpp',
     's_asinh.cpp',
     's_atan.cpp',
diff --git a/modules/fdlibm/src/s_asinh.cpp b/modules/fdlibm/src/s_asinh.cpp
index 400fd89c1..7ecc396bb 100644
--- a/modules/fdlibm/src/s_asinh.cpp
+++ b/modules/fdlibm/src/s_asinh.cpp
@@ -24,6 +24,7 @@
  *		 := sign(x)*log1p(|x| + x^2/(1 + sqrt(1+x^2)))
  */
 
+#include <cmath>
 #include <float.h>
 
 #include "math_private.h"
@@ -48,10 +49,10 @@ asinh(double x)
 	    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;
 }
diff --git a/modules/fdlibm/src/s_cbrt.cpp b/modules/fdlibm/src/s_cbrt.cpp
index a2de24af7..fe3747e81 100644
--- a/modules/fdlibm/src/s_cbrt.cpp
+++ b/modules/fdlibm/src/s_cbrt.cpp
@@ -15,6 +15,7 @@
 //#include <sys/cdefs.h>
 //__FBSDID("$FreeBSD$");
 
+#include <float.h>
 #include "math_private.h"
 
 /* cbrt(x)
diff --git a/modules/fdlibm/src/s_expm1.cpp b/modules/fdlibm/src/s_expm1.cpp
index 4c19485de..90ebc1698 100644
--- a/modules/fdlibm/src/s_expm1.cpp
+++ b/modules/fdlibm/src/s_expm1.cpp
@@ -187,7 +187,7 @@ expm1(double x)
 	e  = hxs*((r1-t)/(6.0 - x*t));
 	if(k==0) return x - (x*e-hxs);		/* c is 0 */
 	else {
-	    INSERT_WORDS(twopk,0x3ff00000+(k<<20),0);	/* 2^k */
+	    INSERT_WORDS(twopk,((u_int32_t)(0x3ff+k))<<20,0);	/* 2^k */
 	    e  = (x*(e-c)-c);
 	    e -= hxs;
 	    if(k== -1) return 0.5*(x-e)-0.5;
diff --git a/modules/fdlibm/src/s_fabs.cpp b/modules/fdlibm/src/s_fabs.cpp
index 3bea0478a..6ca84d71b 100644
--- a/modules/fdlibm/src/s_fabs.cpp
+++ b/modules/fdlibm/src/s_fabs.cpp
@@ -1,4 +1,4 @@
- /* @(#)s_fabs.c 5.1 93/09/24 */
+/* @(#)s_fabs.c 5.1 93/09/24 */
 /*
  * ====================================================
  * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
@@ -10,9 +10,8 @@
  * ====================================================
  */
 
-#ifndef lint
- //static char rcsid[] = "$FreeBSD$";
-#endif
+//#include <sys/cdefs.h>
+//__FBSDID("$FreeBSD$");
 
 /*
  * fabs(x) returns the absolute value of x.
diff --git a/modules/fdlibm/src/s_nearbyint.cpp b/modules/fdlibm/src/s_nearbyint.cpp
index 532bb5d8d..6c04212d3 100644
--- a/modules/fdlibm/src/s_nearbyint.cpp
+++ b/modules/fdlibm/src/s_nearbyint.cpp
@@ -1,4 +1,6 @@
 /*-
+ * SPDX-License-Identifier: BSD-2-Clause-FreeBSD
+ *
  * Copyright (c) 2004 David Schultz <das@FreeBSD.ORG>
  * All rights reserved.
  *
diff --git a/modules/fdlibm/src/s_scalbn.cpp b/modules/fdlibm/src/s_scalbn.cpp
index 5dbf58c23..dfbcf5c57 100644
--- a/modules/fdlibm/src/s_scalbn.cpp
+++ b/modules/fdlibm/src/s_scalbn.cpp
@@ -10,9 +10,8 @@
  * ====================================================
  */
 
-#ifndef lint
-//static char rcsid[] = "$FreeBSD$";
-#endif
+//#include <sys/cdefs.h>
+//__FBSDID("$FreeBSD$");
 
 /*
  * scalbn (double x, int n)
@@ -21,7 +20,6 @@
  * exponentiation or a multiplication.
  */
 
-//#include <sys/cdefs.h>
 #include <float.h>
 
 #include "math_private.h"
@@ -50,10 +48,12 @@ scalbn (double x, int n)
         if (k >  0x7fe) return huge*copysign(huge,x); /* overflow  */
         if (k > 0) 				/* normal result */
 	    {SET_HIGH_WORD(x,(hx&0x800fffff)|(k<<20)); return x;}
-        if (k <= -54)
+        if (k <= -54) {
             if (n > 50000) 	/* in case integer overflow in n+k */
 		return huge*copysign(huge,x);	/*overflow*/
-	    else return tiny*copysign(tiny,x); 	/*underflow*/
+	    else
+		return tiny*copysign(tiny,x); 	/*underflow*/
+	}
         k += 54;				/* subnormal result */
 	SET_HIGH_WORD(x,(hx&0x800fffff)|(k<<20));
         return x*twom54;