8049043: Load variable through a pointer of an incompatible type in hotspot/src/share/vm/runtime/sharedRuntimeMath.hpp

Fixed parfait warnings caused by __HI and __LO macros in sharedRuntimeMath.hpp by using a union.

Reviewed-by: kvn, drchase
This commit is contained in:
Tobias Hartmann 2014-07-29 13:56:29 +02:00
parent d2a5b70cdf
commit c36b77bbfd
3 changed files with 89 additions and 60 deletions

View file

@ -27,20 +27,46 @@
#include <math.h> #include <math.h>
// VM_LITTLE_ENDIAN is #defined appropriately in the Makefiles // Used to access the lower/higher 32 bits of a double
// [jk] this is not 100% correct because the float word order may different typedef union {
// from the byte order (e.g. on ARM FPA) double d;
struct {
#ifdef VM_LITTLE_ENDIAN #ifdef VM_LITTLE_ENDIAN
# define __HI(x) *(1+(int*)&x) int lo;
# define __LO(x) *(int*)&x int hi;
#else #else
# define __HI(x) *(int*)&x int hi;
# define __LO(x) *(1+(int*)&x) int lo;
#endif #endif
} split;
} DoubleIntConv;
static inline int high(double d) {
DoubleIntConv x = { d };
return x.split.hi;
}
static inline int low(double d) {
DoubleIntConv x = { d };
return x.split.lo;
}
static inline void set_high(double* d, int high) {
DoubleIntConv conv = { *d };
conv.split.hi = high;
*d = conv.d;
}
static inline void set_low(double* d, int low) {
DoubleIntConv conv = { *d };
conv.split.lo = low;
*d = conv.d;
}
static double copysignA(double x, double y) { static double copysignA(double x, double y) {
__HI(x) = (__HI(x)&0x7fffffff)|(__HI(y)&0x80000000); DoubleIntConv convX = { x };
return x; convX.split.hi = (convX.split.hi & 0x7fffffff) | (high(y) & 0x80000000);
return convX.d;
} }
/* /*
@ -69,28 +95,30 @@ tiny = 1.0e-300;
static double scalbnA(double x, int n) { static double scalbnA(double x, int n) {
int k,hx,lx; int k,hx,lx;
hx = __HI(x); hx = high(x);
lx = __LO(x); lx = low(x);
k = (hx&0x7ff00000)>>20; /* extract exponent */ k = (hx&0x7ff00000)>>20; /* extract exponent */
if (k==0) { /* 0 or subnormal x */ if (k==0) { /* 0 or subnormal x */
if ((lx|(hx&0x7fffffff))==0) return x; /* +-0 */ if ((lx|(hx&0x7fffffff))==0) return x; /* +-0 */
x *= two54; x *= two54;
hx = __HI(x); hx = high(x);
k = ((hx&0x7ff00000)>>20) - 54; k = ((hx&0x7ff00000)>>20) - 54;
if (n< -50000) return tiny*x; /*underflow*/ if (n< -50000) return tiny*x; /*underflow*/
} }
if (k==0x7ff) return x+x; /* NaN or Inf */ if (k==0x7ff) return x+x; /* NaN or Inf */
k = k+n; k = k+n;
if (k > 0x7fe) return hugeX*copysignA(hugeX,x); /* overflow */ if (k > 0x7fe) return hugeX*copysignA(hugeX,x); /* overflow */
if (k > 0) /* normal result */ if (k > 0) { /* normal result */
{__HI(x) = (hx&0x800fffff)|(k<<20); return x;} set_high(&x, (hx&0x800fffff)|(k<<20));
return x;
}
if (k <= -54) { if (k <= -54) {
if (n > 50000) /* in case integer overflow in n+k */ if (n > 50000) /* in case integer overflow in n+k */
return hugeX*copysignA(hugeX,x); /*overflow*/ return hugeX*copysignA(hugeX,x); /*overflow*/
else return tiny*copysignA(tiny,x); /*underflow*/ else return tiny*copysignA(tiny,x); /*underflow*/
} }
k += 54; /* subnormal result */ k += 54; /* subnormal result */
__HI(x) = (hx&0x800fffff)|(k<<20); set_high(&x, (hx&0x800fffff)|(k<<20));
return x*twom54; return x*twom54;
} }

View file

@ -40,6 +40,7 @@
// generated; can not figure out how to turn down optimization for one // generated; can not figure out how to turn down optimization for one
// file in the IDE on Windows // file in the IDE on Windows
#ifdef WIN32 #ifdef WIN32
# pragma warning( disable: 4748 ) // /GS can not protect parameters and local variables from local buffer overrun because optimizations are disabled in function
# pragma optimize ( "", off ) # pragma optimize ( "", off )
#endif #endif
@ -114,8 +115,8 @@ static double __ieee754_log(double x) {
int k,hx,i,j; int k,hx,i,j;
unsigned lx; unsigned lx;
hx = __HI(x); /* high word of x */ hx = high(x); /* high word of x */
lx = __LO(x); /* low word of x */ lx = low(x); /* low word of x */
k=0; k=0;
if (hx < 0x00100000) { /* x < 2**-1022 */ if (hx < 0x00100000) { /* x < 2**-1022 */
@ -123,13 +124,13 @@ static double __ieee754_log(double x) {
return -two54/zero; /* log(+-0)=-inf */ return -two54/zero; /* log(+-0)=-inf */
if (hx<0) return (x-x)/zero; /* log(-#) = NaN */ if (hx<0) return (x-x)/zero; /* log(-#) = NaN */
k -= 54; x *= two54; /* subnormal number, scale up x */ k -= 54; x *= two54; /* subnormal number, scale up x */
hx = __HI(x); /* high word of x */ hx = high(x); /* high word of x */
} }
if (hx >= 0x7ff00000) return x+x; if (hx >= 0x7ff00000) return x+x;
k += (hx>>20)-1023; k += (hx>>20)-1023;
hx &= 0x000fffff; hx &= 0x000fffff;
i = (hx+0x95f64)&0x100000; i = (hx+0x95f64)&0x100000;
__HI(x) = hx|(i^0x3ff00000); /* normalize x or x/2 */ set_high(&x, hx|(i^0x3ff00000)); /* normalize x or x/2 */
k += (i>>20); k += (i>>20);
f = x-1.0; f = x-1.0;
if((0x000fffff&(2+hx))<3) { /* |f| < 2**-20 */ if((0x000fffff&(2+hx))<3) { /* |f| < 2**-20 */
@ -208,8 +209,8 @@ static double __ieee754_log10(double x) {
int i,k,hx; int i,k,hx;
unsigned lx; unsigned lx;
hx = __HI(x); /* high word of x */ hx = high(x); /* high word of x */
lx = __LO(x); /* low word of x */ lx = low(x); /* low word of x */
k=0; k=0;
if (hx < 0x00100000) { /* x < 2**-1022 */ if (hx < 0x00100000) { /* x < 2**-1022 */
@ -217,14 +218,14 @@ static double __ieee754_log10(double x) {
return -two54/zero; /* log(+-0)=-inf */ return -two54/zero; /* log(+-0)=-inf */
if (hx<0) return (x-x)/zero; /* log(-#) = NaN */ if (hx<0) return (x-x)/zero; /* log(-#) = NaN */
k -= 54; x *= two54; /* subnormal number, scale up x */ k -= 54; x *= two54; /* subnormal number, scale up x */
hx = __HI(x); /* high word of x */ hx = high(x); /* high word of x */
} }
if (hx >= 0x7ff00000) return x+x; if (hx >= 0x7ff00000) return x+x;
k += (hx>>20)-1023; k += (hx>>20)-1023;
i = ((unsigned)k&0x80000000)>>31; i = ((unsigned)k&0x80000000)>>31;
hx = (hx&0x000fffff)|((0x3ff-i)<<20); hx = (hx&0x000fffff)|((0x3ff-i)<<20);
y = (double)(k+i); y = (double)(k+i);
__HI(x) = hx; set_high(&x, hx);
z = y*log10_2lo + ivln10*__ieee754_log(x); z = y*log10_2lo + ivln10*__ieee754_log(x);
return z+y*log10_2hi; return z+y*log10_2hi;
} }
@ -319,14 +320,14 @@ static double __ieee754_exp(double x) {
int k=0,xsb; int k=0,xsb;
unsigned hx; unsigned hx;
hx = __HI(x); /* high word of x */ hx = high(x); /* high word of x */
xsb = (hx>>31)&1; /* sign bit of x */ xsb = (hx>>31)&1; /* sign bit of x */
hx &= 0x7fffffff; /* high word of |x| */ hx &= 0x7fffffff; /* high word of |x| */
/* filter out non-finite argument */ /* filter out non-finite argument */
if(hx >= 0x40862E42) { /* if |x|>=709.78... */ if(hx >= 0x40862E42) { /* if |x|>=709.78... */
if(hx>=0x7ff00000) { if(hx>=0x7ff00000) {
if(((hx&0xfffff)|__LO(x))!=0) if(((hx&0xfffff)|low(x))!=0)
return x+x; /* NaN */ return x+x; /* NaN */
else return (xsb==0)? x:0.0; /* exp(+-inf)={inf,0} */ else return (xsb==0)? x:0.0; /* exp(+-inf)={inf,0} */
} }
@ -357,10 +358,10 @@ static double __ieee754_exp(double x) {
if(k==0) return one-((x*c)/(c-2.0)-x); if(k==0) return one-((x*c)/(c-2.0)-x);
else y = one-((lo-(x*c)/(2.0-c))-hi); else y = one-((lo-(x*c)/(2.0-c))-hi);
if(k >= -1021) { if(k >= -1021) {
__HI(y) += (k<<20); /* add k to y's exponent */ set_high(&y, high(y) + (k<<20)); /* add k to y's exponent */
return y; return y;
} else { } else {
__HI(y) += ((k+1000)<<20);/* add k to y's exponent */ set_high(&y, high(y) + ((k+1000)<<20)); /* add k to y's exponent */
return y*twom1000; return y*twom1000;
} }
} }
@ -447,8 +448,8 @@ double __ieee754_pow(double x, double y) {
unsigned lx,ly; unsigned lx,ly;
i0 = ((*(int*)&one)>>29)^1; i1=1-i0; i0 = ((*(int*)&one)>>29)^1; i1=1-i0;
hx = __HI(x); lx = __LO(x); hx = high(x); lx = low(x);
hy = __HI(y); ly = __LO(y); hy = high(y); ly = low(y);
ix = hx&0x7fffffff; iy = hy&0x7fffffff; ix = hx&0x7fffffff; iy = hy&0x7fffffff;
/* y==zero: x**0 = 1 */ /* y==zero: x**0 = 1 */
@ -548,14 +549,14 @@ double __ieee754_pow(double x, double y) {
u = ivln2_h*t; /* ivln2_h has 21 sig. bits */ u = ivln2_h*t; /* ivln2_h has 21 sig. bits */
v = t*ivln2_l-w*ivln2; v = t*ivln2_l-w*ivln2;
t1 = u+v; t1 = u+v;
__LO(t1) = 0; set_low(&t1, 0);
t2 = v-(t1-u); t2 = v-(t1-u);
} else { } else {
double ss,s2,s_h,s_l,t_h,t_l; double ss,s2,s_h,s_l,t_h,t_l;
n = 0; n = 0;
/* take care subnormal number */ /* take care subnormal number */
if(ix<0x00100000) if(ix<0x00100000)
{ax *= two53; n -= 53; ix = __HI(ax); } {ax *= two53; n -= 53; ix = high(ax); }
n += ((ix)>>20)-0x3ff; n += ((ix)>>20)-0x3ff;
j = ix&0x000fffff; j = ix&0x000fffff;
/* determine interval */ /* determine interval */
@ -563,17 +564,17 @@ double __ieee754_pow(double x, double y) {
if(j<=0x3988E) k=0; /* |x|<sqrt(3/2) */ if(j<=0x3988E) k=0; /* |x|<sqrt(3/2) */
else if(j<0xBB67A) k=1; /* |x|<sqrt(3) */ else if(j<0xBB67A) k=1; /* |x|<sqrt(3) */
else {k=0;n+=1;ix -= 0x00100000;} else {k=0;n+=1;ix -= 0x00100000;}
__HI(ax) = ix; set_high(&ax, ix);
/* compute ss = s_h+s_l = (x-1)/(x+1) or (x-1.5)/(x+1.5) */ /* compute ss = s_h+s_l = (x-1)/(x+1) or (x-1.5)/(x+1.5) */
u = ax-bp[k]; /* bp[0]=1.0, bp[1]=1.5 */ u = ax-bp[k]; /* bp[0]=1.0, bp[1]=1.5 */
v = one/(ax+bp[k]); v = one/(ax+bp[k]);
ss = u*v; ss = u*v;
s_h = ss; s_h = ss;
__LO(s_h) = 0; set_low(&s_h, 0);
/* t_h=ax+bp[k] High */ /* t_h=ax+bp[k] High */
t_h = zeroX; t_h = zeroX;
__HI(t_h)=((ix>>1)|0x20000000)+0x00080000+(k<<18); set_high(&t_h, ((ix>>1)|0x20000000)+0x00080000+(k<<18));
t_l = ax - (t_h-bp[k]); t_l = ax - (t_h-bp[k]);
s_l = v*((u-s_h*t_h)-s_h*t_l); s_l = v*((u-s_h*t_h)-s_h*t_l);
/* compute log(ax) */ /* compute log(ax) */
@ -582,32 +583,32 @@ double __ieee754_pow(double x, double y) {
r += s_l*(s_h+ss); r += s_l*(s_h+ss);
s2 = s_h*s_h; s2 = s_h*s_h;
t_h = 3.0+s2+r; t_h = 3.0+s2+r;
__LO(t_h) = 0; set_low(&t_h, 0);
t_l = r-((t_h-3.0)-s2); t_l = r-((t_h-3.0)-s2);
/* u+v = ss*(1+...) */ /* u+v = ss*(1+...) */
u = s_h*t_h; u = s_h*t_h;
v = s_l*t_h+t_l*ss; v = s_l*t_h+t_l*ss;
/* 2/(3log2)*(ss+...) */ /* 2/(3log2)*(ss+...) */
p_h = u+v; p_h = u+v;
__LO(p_h) = 0; set_low(&p_h, 0);
p_l = v-(p_h-u); p_l = v-(p_h-u);
z_h = cp_h*p_h; /* cp_h+cp_l = 2/(3*log2) */ 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]; 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 */ /* log2(ax) = (ss+..)*2/(3*log2) = n + dp_h + z_h + z_l */
t = (double)n; t = (double)n;
t1 = (((z_h+z_l)+dp_h[k])+t); t1 = (((z_h+z_l)+dp_h[k])+t);
__LO(t1) = 0; set_low(&t1, 0);
t2 = z_l-(((t1-t)-dp_h[k])-z_h); t2 = z_l-(((t1-t)-dp_h[k])-z_h);
} }
/* split up y into y1+y2 and compute (y1+y2)*(t1+t2) */ /* split up y into y1+y2 and compute (y1+y2)*(t1+t2) */
y1 = y; y1 = y;
__LO(y1) = 0; set_low(&y1, 0);
p_l = (y-y1)*t1+y*t2; p_l = (y-y1)*t1+y*t2;
p_h = y1*t1; p_h = y1*t1;
z = p_l+p_h; z = p_l+p_h;
j = __HI(z); j = high(z);
i = __LO(z); i = low(z);
if (j>=0x40900000) { /* z >= 1024 */ if (j>=0x40900000) { /* z >= 1024 */
if(((j-0x40900000)|i)!=0) /* if z > 1024 */ if(((j-0x40900000)|i)!=0) /* if z > 1024 */
return s*hugeX*hugeX; /* overflow */ return s*hugeX*hugeX; /* overflow */
@ -631,13 +632,13 @@ double __ieee754_pow(double x, double y) {
n = j+(0x00100000>>(k+1)); n = j+(0x00100000>>(k+1));
k = ((n&0x7fffffff)>>20)-0x3ff; /* new k for n */ k = ((n&0x7fffffff)>>20)-0x3ff; /* new k for n */
t = zeroX; t = zeroX;
__HI(t) = (n&~(0x000fffff>>k)); set_high(&t, (n&~(0x000fffff>>k)));
n = ((n&0x000fffff)|0x00100000)>>(20-k); n = ((n&0x000fffff)|0x00100000)>>(20-k);
if(j<0) n = -n; if(j<0) n = -n;
p_h -= t; p_h -= t;
} }
t = p_l+p_h; t = p_l+p_h;
__LO(t) = 0; set_low(&t, 0);
u = t*lg2_h; u = t*lg2_h;
v = (p_l-(t-p_h))*lg2+t*lg2_l; v = (p_l-(t-p_h))*lg2+t*lg2_l;
z = u+v; z = u+v;
@ -646,10 +647,10 @@ double __ieee754_pow(double x, double y) {
t1 = z - t*(P1+t*(P2+t*(P3+t*(P4+t*P5)))); t1 = z - t*(P1+t*(P2+t*(P3+t*(P4+t*P5))));
r = (z*t1)/(t1-two)-(w+z*w); r = (z*t1)/(t1-two)-(w+z*w);
z = one-(r-z); z = one-(r-z);
j = __HI(z); j = high(z);
j += (n<<20); j += (n<<20);
if((j>>20)<=0) z = scalbnA(z,n); /* subnormal output */ if((j>>20)<=0) z = scalbnA(z,n); /* subnormal output */
else __HI(z) += (n<<20); else set_high(&z, high(z) + (n<<20));
return s*z; return s*z;
} }

View file

@ -519,7 +519,7 @@ static double __kernel_sin(double x, double y, int iy)
{ {
double z,r,v; double z,r,v;
int ix; int ix;
ix = __HI(x)&0x7fffffff; /* high word of x */ ix = high(x)&0x7fffffff; /* high word of x */
if(ix<0x3e400000) /* |x| < 2**-27 */ if(ix<0x3e400000) /* |x| < 2**-27 */
{if((int)x==0) return x;} /* generate inexact */ {if((int)x==0) return x;} /* generate inexact */
z = x*x; z = x*x;
@ -574,9 +574,9 @@ C6 = -1.13596475577881948265e-11; /* 0xBDA8FAE9, 0xBE8838D4 */
static double __kernel_cos(double x, double y) static double __kernel_cos(double x, double y)
{ {
double a,h,z,r,qx; double a,h,z,r,qx=0;
int ix; int ix;
ix = __HI(x)&0x7fffffff; /* ix = |x|'s high word*/ ix = high(x)&0x7fffffff; /* ix = |x|'s high word*/
if(ix<0x3e400000) { /* if x < 2**27 */ if(ix<0x3e400000) { /* if x < 2**27 */
if(((int)x)==0) return one; /* generate inexact */ if(((int)x)==0) return one; /* generate inexact */
} }
@ -588,8 +588,8 @@ static double __kernel_cos(double x, double y)
if(ix > 0x3fe90000) { /* x > 0.78125 */ if(ix > 0x3fe90000) { /* x > 0.78125 */
qx = 0.28125; qx = 0.28125;
} else { } else {
__HI(qx) = ix-0x00200000; /* x/4 */ set_high(&qx, ix-0x00200000); /* x/4 */
__LO(qx) = 0; set_low(&qx, 0);
} }
h = 0.5*z-qx; h = 0.5*z-qx;
a = one-qx; a = one-qx;
@ -654,11 +654,11 @@ static double __kernel_tan(double x, double y, int iy)
{ {
double z,r,v,w,s; double z,r,v,w,s;
int ix,hx; int ix,hx;
hx = __HI(x); /* high word of x */ hx = high(x); /* high word of x */
ix = hx&0x7fffffff; /* high word of |x| */ ix = hx&0x7fffffff; /* high word of |x| */
if(ix<0x3e300000) { /* x < 2**-28 */ if(ix<0x3e300000) { /* x < 2**-28 */
if((int)x==0) { /* generate inexact */ if((int)x==0) { /* generate inexact */
if (((ix | __LO(x)) | (iy + 1)) == 0) if (((ix | low(x)) | (iy + 1)) == 0)
return one / fabsd(x); return one / fabsd(x);
else { else {
if (iy == 1) if (iy == 1)
@ -667,10 +667,10 @@ static double __kernel_tan(double x, double y, int iy)
double a, t; double a, t;
z = w = x + y; z = w = x + y;
__LO(z) = 0; set_low(&z, 0);
v = y - (z - x); v = y - (z - x);
t = a = -one / w; t = a = -one / w;
__LO(t) = 0; set_low(&t, 0);
s = one + t * z; s = one + t * z;
return t + a * (s + t * v); return t + a * (s + t * v);
} }
@ -705,10 +705,10 @@ static double __kernel_tan(double x, double y, int iy)
/* compute -1.0/(x+r) accurately */ /* compute -1.0/(x+r) accurately */
double a,t; double a,t;
z = w; z = w;
__LO(z) = 0; set_low(&z, 0);
v = r-(z - x); /* z+v = r+x */ v = r-(z - x); /* z+v = r+x */
t = a = -1.0/w; /* a = -1.0/w */ t = a = -1.0/w; /* a = -1.0/w */
__LO(t) = 0; set_low(&t, 0);
s = 1.0+t*z; s = 1.0+t*z;
return t+a*(s+t*v); return t+a*(s+t*v);
} }
@ -757,7 +757,7 @@ JRT_LEAF(jdouble, SharedRuntime::dsin(jdouble x))
int n, ix; int n, ix;
/* High word of x. */ /* High word of x. */
ix = __HI(x); ix = high(x);
/* |x| ~< pi/4 */ /* |x| ~< pi/4 */
ix &= 0x7fffffff; ix &= 0x7fffffff;
@ -815,7 +815,7 @@ JRT_LEAF(jdouble, SharedRuntime::dcos(jdouble x))
int n, ix; int n, ix;
/* High word of x. */ /* High word of x. */
ix = __HI(x); ix = high(x);
/* |x| ~< pi/4 */ /* |x| ~< pi/4 */
ix &= 0x7fffffff; ix &= 0x7fffffff;
@ -872,7 +872,7 @@ JRT_LEAF(jdouble, SharedRuntime::dtan(jdouble x))
int n, ix; int n, ix;
/* High word of x. */ /* High word of x. */
ix = __HI(x); ix = high(x);
/* |x| ~< pi/4 */ /* |x| ~< pi/4 */
ix &= 0x7fffffff; ix &= 0x7fffffff;