make type punning of floating point/int in float_math and double_math use union to avoid warnings (#600)
This commit is contained in:
Graham Sanderson
GitHub
parent
30673fb6d0
commit
d50e743e0e
@ -41,11 +41,25 @@ typedef int64_t i64;
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#define DUNPACK(x,e,m) e=((x)>>52)&0x7ff,m=((x)&0x000fffffffffffffULL)|0x0010000000000000ULL
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#define DUNPACKS(x,s,e,m) s=((x)>>63),DUNPACK((x),(e),(m))
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_Pragma("GCC diagnostic push")
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_Pragma("GCC diagnostic ignored \"-Wstrict-aliasing\"")
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typedef union {
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double d;
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ui64 ix;
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} double_ui64;
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static inline double ui642double(ui64 ix) {
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double_ui64 tmp;
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tmp.ix = ix;
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return tmp.d;
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}
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static inline ui64 double2ui64(double d) {
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double_ui64 tmp;
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tmp.d = d;
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return tmp.ix;
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}
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static inline bool disnan(double x) {
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ui64 ix=*(ui64*)&x;
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ui64 ix= double2ui64(x);
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// checks the top bit of the low 32 bit of the NAN, but it I think that is ok
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return ((uint32_t)(ix >> 31)) > 0xffe00000u;
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}
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@ -59,17 +73,17 @@ static inline bool disnan(double x) {
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#endif
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static inline int dgetsignexp(double x) {
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ui64 ix=*(ui64*)&x;
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ui64 ix=double2ui64(x);
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return (ix>>52)&0xfff;
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}
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static inline int dgetexp(double x) {
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ui64 ix=*(ui64*)&x;
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ui64 ix=double2ui64(x);
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return (ix>>52)&0x7ff;
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}
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static inline double dldexp(double x,int de) {
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ui64 ix=*(ui64*)&x,iy;
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ui64 ix=double2ui64(x),iy;
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int e;
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e=dgetexp(x);
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if(e==0||e==0x7ff) return x;
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@ -77,7 +91,7 @@ static inline double dldexp(double x,int de) {
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if(e<=0) iy=ix&0x8000000000000000ULL; // signed zero for underflow
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else if(e>=0x7ff) iy=(ix&0x8000000000000000ULL)|0x7ff0000000000000ULL; // signed infinity on overflow
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else iy=ix+((ui64)de<<52);
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return *(double*)&iy;
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return ui642double(iy);
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}
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double WRAPPER_FUNC(ldexp)(double x, int de) {
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@ -87,9 +101,9 @@ double WRAPPER_FUNC(ldexp)(double x, int de) {
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static inline double dcopysign(double x,double y) {
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ui64 ix=*(ui64*)&x,iy=*(ui64*)&y;
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ui64 ix=double2ui64(x),iy=double2ui64(y);
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ix=((ix&0x7fffffffffffffffULL)|(iy&0x8000000000000000ULL));
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return *(double*)&ix;
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return ui642double(ix);
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}
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double WRAPPER_FUNC(copysign)(double x, double y) {
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@ -104,7 +118,7 @@ static inline int dispinf(double x) { return dgetsignexp(x)==0x7ff; }
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static inline int disminf(double x) { return dgetsignexp(x)==0xfff; }
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static inline int disint(double x) {
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ui64 ix=*(ui64*)&x,m;
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ui64 ix=double2ui64(x),m;
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int e=dgetexp(x);
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if(e==0) return 1; // 0 is an integer
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e-=0x3ff; // remove exponent bias
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@ -117,7 +131,7 @@ static inline int disint(double x) {
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}
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static inline int disoddint(double x) {
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ui64 ix=*(ui64*)&x,m;
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ui64 ix=double2ui64(x),m;
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int e=dgetexp(x);
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e-=0x3ff; // remove exponent bias
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if(e<0) return 0; // |x|<1; 0 is not odd
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@ -130,24 +144,24 @@ static inline int disoddint(double x) {
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}
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static inline int disstrictneg(double x) {
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ui64 ix=*(ui64*)&x;
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ui64 ix=double2ui64(x);
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if(diszero(x)) return 0;
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return ix>>63;
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}
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static inline int disneg(double x) {
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ui64 ix=*(ui64*)&x;
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ui64 ix=double2ui64(x);
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return ix>>63;
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}
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static inline double dneg(double x) {
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ui64 ix=*(ui64*)&x;
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ui64 ix=double2ui64(x);
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ix^=0x8000000000000000ULL;
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return *(double*)&ix;
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return ui642double(ix);
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}
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static inline int dispo2(double x) {
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ui64 ix=*(ui64*)&x;
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ui64 ix=double2ui64(x);
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if(diszero(x)) return 0;
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if(disinf(x)) return 0;
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ix&=0x000fffffffffffffULL;
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@ -164,33 +178,33 @@ static inline double dnan_or(double x) {
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double WRAPPER_FUNC(trunc)(double x) {
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check_nan_d1(x);
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ui64 ix=*(ui64*)&x,m;
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ui64 ix=double2ui64(x),m;
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int e=dgetexp(x);
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e-=0x3ff; // remove exponent bias
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if(e<0) { // |x|<1
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ix&=0x8000000000000000ULL;
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return *(double*)&ix;
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return ui642double(ix);
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}
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e=52-e; // bit position in mantissa with significance 1
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if(e<=0) return x; // |x| large, so must be an integer
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m=(1ULL<<e)-1; // mask for bits of significance <1
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ix&=~m;
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return *(double*)&ix;
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return ui642double(ix);
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}
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double WRAPPER_FUNC(round)(double x) {
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check_nan_d1(x);
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ui64 ix=*(ui64*)&x,m;
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ui64 ix=double2ui64(x),m;
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int e=dgetexp(x);
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e-=0x3ff; // remove exponent bias
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if(e<-1) { // |x|<0.5
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ix&=0x8000000000000000ULL;
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return *(double*)&ix;
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return ui642double(ix);
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}
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if(e==-1) { // 0.5<=|x|<1
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ix&=0x8000000000000000ULL;
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ix|=0x3ff0000000000000ULL; // ±1
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return *(double*)&ix;
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return ui642double(ix);
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}
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e=52-e; // bit position in mantissa with significance 1, <=52
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if(e<=0) return x; // |x| large, so must be an integer
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@ -198,16 +212,16 @@ double WRAPPER_FUNC(round)(double x) {
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ix+=m;
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m=m+m-1; // mask for bits of significance <1
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ix&=~m;
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return *(double*)&ix;
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return ui642double(ix);
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}
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double WRAPPER_FUNC(floor)(double x) {
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check_nan_d1(x);
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ui64 ix=*(ui64*)&x,m;
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ui64 ix=double2ui64(x),m;
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int e=dgetexp(x);
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if(e==0) { // x==0
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ix&=0x8000000000000000ULL;
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return *(double*)&ix;
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return ui642double(ix);
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}
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e-=0x3ff; // remove exponent bias
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if(e<0) { // |x|<1, not zero
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@ -219,16 +233,16 @@ double WRAPPER_FUNC(floor)(double x) {
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m=(1ULL<<e)-1; // mask for bit of significance <1
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if(disneg(x)) ix+=m; // add 1-ε to magnitude if negative
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ix&=~m; // truncate
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return *(double*)&ix;
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return ui642double(ix);
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}
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double WRAPPER_FUNC(ceil)(double x) {
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check_nan_d1(x);
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ui64 ix=*(ui64*)&x,m;
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ui64 ix=double2ui64(x),m;
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int e=dgetexp(x);
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if(e==0) { // x==0
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ix&=0x8000000000000000ULL;
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return *(double*)&ix;
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return ui642double(ix);
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}
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e-=0x3ff; // remove exponent bias
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if(e<0) { // |x|<1, not zero
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@ -240,7 +254,7 @@ double WRAPPER_FUNC(ceil)(double x) {
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m=(1ULL<<e)-1; // mask for bit of significance <1
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if(!disneg(x)) ix+=m; // add 1-ε to magnitude if positive
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ix&=~m; // truncate
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return *(double*)&ix;
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return ui642double(ix);
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}
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double WRAPPER_FUNC(asin)(double x) {
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@ -549,7 +563,7 @@ static i64 drem_0(i64 mx,i64 my,int e,int*pquo) {
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double WRAPPER_FUNC(fmod)(double x,double y) {
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check_nan_d2(x, y);
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ui64 ix=*(ui64*)&x,iy=*(ui64*)&y;
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ui64 ix=double2ui64(x),iy=double2ui64(y);
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int sx,ex,ey;
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i64 mx,my;
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DUNPACKS(ix,sx,ex,mx);
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@ -568,7 +582,7 @@ double WRAPPER_FUNC(fmod)(double x,double y) {
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double WRAPPER_FUNC(remquo)(double x,double y,int*quo) {
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check_nan_d2(x, y);
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ui64 ix=*(ui64*)&x,iy=*(ui64*)&y;
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ui64 ix=double2ui64(x),iy=double2ui64(y);
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int sx,sy,ex,ey,q;
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i64 mx,my;
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DUNPACKS(ix,sx,ex,mx);
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@ -609,5 +623,4 @@ double WRAPPER_FUNC(drem)(double x,double y) { check_nan_d2(x, y); return remquo
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double WRAPPER_FUNC(remainder)(double x,double y) { check_nan_d2(x, y); return remquo(x,y,0); }
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_Pragma("GCC diagnostic pop") // strict-aliasing
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_Pragma("GCC diagnostic pop") // conversion
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@ -39,11 +39,25 @@ typedef int32_t i32;
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#define FUNPACK(x,e,m) e=((x)>>23)&0xff,m=((x)&0x007fffff)|0x00800000
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#define FUNPACKS(x,s,e,m) s=((x)>>31),FUNPACK((x),(e),(m))
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_Pragma("GCC diagnostic push")
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_Pragma("GCC diagnostic ignored \"-Wstrict-aliasing\"")
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typedef union {
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float f;
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ui32 ix;
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} float_ui32;
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static inline float ui322float(ui32 ix) {
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float_ui32 tmp;
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tmp.ix = ix;
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return tmp.f;
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}
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static inline ui32 float2ui32(float f) {
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float_ui32 tmp;
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tmp.f = f;
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return tmp.ix;
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}
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static inline bool fisnan(float x) {
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ui32 ix=*(ui32*)&x;
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ui32 ix=float2ui32(x);
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return ix * 2 > 0xff000000u;
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}
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@ -56,17 +70,17 @@ static inline bool fisnan(float x) {
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#endif
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static inline int fgetsignexp(float x) {
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ui32 ix=*(ui32*)&x;
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ui32 ix=float2ui32(x);
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return (ix>>23)&0x1ff;
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}
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static inline int fgetexp(float x) {
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ui32 ix=*(ui32*)&x;
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ui32 ix=float2ui32(x);
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return (ix>>23)&0xff;
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}
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static inline float fldexp(float x,int de) {
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ui32 ix=*(ui32*)&x,iy;
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ui32 ix=float2ui32(x),iy;
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int e;
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e=fgetexp(x);
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if(e==0||e==0xff) return x;
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@ -74,7 +88,7 @@ static inline float fldexp(float x,int de) {
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if(e<=0) iy=ix&0x80000000; // signed zero for underflow
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else if(e>=0xff) iy=(ix&0x80000000)|0x7f800000ULL; // signed infinity on overflow
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else iy=ix+((ui32)de<<23);
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return *(float*)&iy;
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return ui322float(iy);
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}
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float WRAPPER_FUNC(ldexpf)(float x, int de) {
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@ -83,9 +97,9 @@ float WRAPPER_FUNC(ldexpf)(float x, int de) {
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}
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static inline float fcopysign(float x,float y) {
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ui32 ix=*(ui32*)&x,iy=*(ui32*)&y;
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ui32 ix=float2ui32(x),iy=float2ui32(y);
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ix=((ix&0x7fffffff)|(iy&0x80000000));
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return *(float*)&ix;
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return ui322float(ix);
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}
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float WRAPPER_FUNC(copysignf)(float x, float y) {
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@ -101,7 +115,7 @@ static inline int fispinf(float x) { return fgetsignexp(x)==0xff; }
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static inline int fisminf(float x) { return fgetsignexp(x)==0x1ff; }
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static inline int fisint(float x) {
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ui32 ix=*(ui32*)&x,m;
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ui32 ix=float2ui32(x),m;
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int e=fgetexp(x);
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if(e==0) return 1; // 0 is an integer
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e-=0x7f; // remove exponent bias
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@ -114,7 +128,7 @@ static inline int fisint(float x) {
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}
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static inline int fisoddint(float x) {
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ui32 ix=*(ui32*)&x,m;
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ui32 ix=float2ui32(x),m;
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int e=fgetexp(x);
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e-=0x7f; // remove exponent bias
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if(e<0) return 0; // |x|<1; 0 is not odd
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@ -127,24 +141,24 @@ static inline int fisoddint(float x) {
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}
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static inline int fisstrictneg(float x) {
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ui32 ix=*(ui32*)&x;
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ui32 ix=float2ui32(x);
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if(fiszero(x)) return 0;
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return ix>>31;
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}
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static inline int fisneg(float x) {
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ui32 ix=*(ui32*)&x;
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ui32 ix=float2ui32(x);
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return ix>>31;
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}
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static inline float fneg(float x) {
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ui32 ix=*(ui32*)&x;
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ui32 ix=float2ui32(x);
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ix^=0x80000000;
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return *(float*)&ix;
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return ui322float(ix);
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}
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static inline int fispo2(float x) {
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ui32 ix=*(ui32*)&x;
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ui32 ix=float2ui32(x);
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if(fiszero(x)) return 0;
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if(fisinf(x)) return 0;
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ix&=0x007fffff;
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@ -161,33 +175,33 @@ static inline float fnan_or(float x) {
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float WRAPPER_FUNC(truncf)(float x) {
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check_nan_f1(x);
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ui32 ix=*(ui32*)&x,m;
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ui32 ix=float2ui32(x),m;
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int e=fgetexp(x);
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e-=0x7f; // remove exponent bias
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if(e<0) { // |x|<1
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ix&=0x80000000;
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return *(float*)&ix;
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return ui322float(ix);
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}
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e=23-e; // bit position in mantissa with significance 1
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if(e<=0) return x; // |x| large, so must be an integer
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m=(1<<e)-1; // mask for bits of significance <1
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ix&=~m;
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return *(float*)&ix;
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return ui322float(ix);
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}
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float WRAPPER_FUNC(roundf)(float x) {
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check_nan_f1(x);
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ui32 ix=*(ui32*)&x,m;
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ui32 ix=float2ui32(x),m;
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int e=fgetexp(x);
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e-=0x7f; // remove exponent bias
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if(e<-1) { // |x|<0.5
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ix&=0x80000000;
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return *(float*)&ix;
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return ui322float(ix);
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}
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if(e==-1) { // 0.5<=|x|<1
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ix&=0x80000000;
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ix|=0x3f800000; // ±1
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return *(float*)&ix;
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return ui322float(ix);
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}
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e=23-e; // bit position in mantissa with significance 1, <=23
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if(e<=0) return x; // |x| large, so must be an integer
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@ -195,16 +209,16 @@ float WRAPPER_FUNC(roundf)(float x) {
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ix+=m;
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m=m+m-1; // mask for bits of significance <1
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ix&=~m;
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return *(float*)&ix;
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return ui322float(ix);
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}
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float WRAPPER_FUNC(floorf)(float x) {
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check_nan_f1(x);
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ui32 ix=*(ui32*)&x,m;
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ui32 ix=float2ui32(x),m;
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int e=fgetexp(x);
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if(e==0) { // x==0
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ix&=0x80000000;
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return *(float*)&ix;
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return ui322float(ix);
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}
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e-=0x7f; // remove exponent bias
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if(e<0) { // |x|<1, not zero
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@ -216,16 +230,16 @@ float WRAPPER_FUNC(floorf)(float x) {
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m=(1<<e)-1; // mask for bit of significance <1
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if(fisneg(x)) ix+=m; // add 1-ε to magnitude if negative
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ix&=~m; // truncate
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return *(float*)&ix;
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return ui322float(ix);
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}
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float WRAPPER_FUNC(ceilf)(float x) {
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check_nan_f1(x);
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ui32 ix=*(ui32*)&x,m;
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ui32 ix=float2ui32(x),m;
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int e=fgetexp(x);
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if(e==0) { // x==0
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ix&=0x80000000;
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return *(float*)&ix;
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return ui322float(ix);
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}
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e-=0x7f; // remove exponent bias
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if(e<0) { // |x|<1, not zero
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@ -237,7 +251,7 @@ float WRAPPER_FUNC(ceilf)(float x) {
|
||||
m=(1<<e)-1; // mask for bit of significance <1
|
||||
if(!fisneg(x)) ix+=m; // add 1-ε to magnitude if positive
|
||||
ix&=~m; // truncate
|
||||
return *(float*)&ix;
|
||||
return ui322float(ix);
|
||||
}
|
||||
|
||||
float WRAPPER_FUNC(asinf)(float x) {
|
||||
@ -505,7 +519,7 @@ static i32 frem_0(i32 mx,i32 my,int e,int*pquo) {
|
||||
|
||||
float WRAPPER_FUNC(fmodf)(float x,float y) {
|
||||
check_nan_f2(x,y);
|
||||
ui32 ix=*(ui32*)&x,iy=*(ui32*)&y;
|
||||
ui32 ix=float2ui32(x),iy=float2ui32(y);
|
||||
int sx,ex,ey;
|
||||
i32 mx,my;
|
||||
FUNPACKS(ix,sx,ex,mx);
|
||||
@ -526,7 +540,7 @@ float WRAPPER_FUNC(fmodf)(float x,float y) {
|
||||
|
||||
float WRAPPER_FUNC(remquof)(float x,float y,int*quo) {
|
||||
check_nan_f2(x,y);
|
||||
ui32 ix=*(ui32*)&x,iy=*(ui32*)&y;
|
||||
ui32 ix=float2ui32(x),iy=float2ui32(y);
|
||||
int sx,sy,ex,ey,q;
|
||||
i32 mx,my;
|
||||
FUNPACKS(ix,sx,ex,mx);
|
||||
@ -567,5 +581,4 @@ float WRAPPER_FUNC(dremf)(float x,float y) { check_nan_f2(x,y); return remquof(x
|
||||
|
||||
float WRAPPER_FUNC(remainderf)(float x,float y) { check_nan_f2(x,y); return remquof(x,y,0); }
|
||||
|
||||
_Pragma("GCC diagnostic pop") // strict-aliasing
|
||||
_Pragma("GCC diagnostic pop") // conversion
|
||||
Loading…
Reference in New Issue
Block a user