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//copyright Michael Niedermayer 2006 license:LGPL
#define MIN_EXP -126
#define MAX_EXP 126
#define ONE_BITS 29
typedef struct SoftFloat{
int32_t exp;
int32_t mant;
}SoftFloat;
static SoftFloat av_normalize_sf(SoftFloat a){
if(a.mant){
#if 1
while((a.mant + 0x20000000U)<0x40000000U){
a.mant += a.mant;
a.exp -= 1;
}
#else
int s=ONE_BITS + 1 - av_log2(a.mant ^ (a.mant<<1));
a.exp -= s;
a.mant <<= s;
#endif
if(a.exp < MIN_EXP){
a.exp = MIN_EXP;
a.mant= 0;
}
}else{
a.exp= MIN_EXP;
}
return a;
}
static inline SoftFloat av_normalize1_sf(SoftFloat a){
#if 1
if(a.mant + 0x40000000 < 0){
a.exp++;
a.mant>>=1;
}
return a;
#elif 1
int t= a.mant + 0x40000000 < 0;
return (SoftFloat){a.exp+t, a.mant>>t};
#else
int t= (a.mant + 0x40000000U)>>31;
return (SoftFloat){a.exp+t, a.mant>>t};
#endif
}
/**
*
* @return will not be more denormalized then a+b, so if either input is
* normalized then the output wont be worse then the other input
* if both are normalized then the output will be normalized
*/
static inline SoftFloat av_mul_sf(SoftFloat a, SoftFloat b){
a.exp += b.exp;
a.mant = (a.mant * (int64_t)b.mant) >> ONE_BITS;
return av_normalize1_sf(a);
}
/**
*
* b has to be normalized and not zero
* @return will not be more denormalized then a
*/
static SoftFloat av_div_sf(SoftFloat a, SoftFloat b){
a.exp -= b.exp+1;
a.mant = ((int64_t)a.mant<<(ONE_BITS+1)) / b.mant;
return av_normalize1_sf(a);
}
static inline int av_cmp_sf(SoftFloat a, SoftFloat b){
int t= a.exp - b.exp;
if(t<0) return (a.mant >> (-t)) - b.mant ;
else return a.mant - (b.mant >> t);
}
static inline SoftFloat av_add_sf(SoftFloat a, SoftFloat b){
int t= a.exp - b.exp;
if(t<0) return av_normalize1_sf((SoftFloat){b.exp, b.mant + (a.mant >> (-t))});
else return av_normalize1_sf((SoftFloat){a.exp, a.mant + (b.mant >> t )});
}
static inline SoftFloat av_sub_sf(SoftFloat a, SoftFloat b){
return av_add_sf(a, (SoftFloat){b.exp, -b.mant});
}
//FIXME sqrt, log, exp, pow, sin, cos
static inline SoftFloat av_int2sf(int v, int frac_bits){
return av_normalize_sf((SoftFloat){ONE_BITS-frac_bits, v});
}
/**
*
* rounding is to -inf
*/
static inline int av_sf2int(SoftFloat v, int frac_bits){
v.exp += frac_bits - ONE_BITS;
if(v.exp >= 0) return v.mant << v.exp ;
else return v.mant >>(-v.exp);
}
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