floating point "emulation" code

unused currently, but might come in handy for some fpu-less cpus

Originally committed as revision 5955 to svn://svn.ffmpeg.org/ffmpeg/trunk

libavutil/softfloat.c

+#include <inttypes.h>
+#include <stdio.h>
+#include <assert.h>
+#include "softfloat.h"
+#include "common.h"
+#include "log.h"
+
+#undef printf
+
+int main(){
+    SoftFloat one= av_int2sf(1, 0);
+    SoftFloat sf1, sf2;
+    double d1, d2;
+    int i, j;
+av_log_level = AV_LOG_DEBUG;
+
+    d1= 1;
+    for(i= 0; i<10; i++){
+        d1= 1/(d1+1);
+    }
+    printf("test1 double=%d\n", (int)(d1 * (1<<24)));
+
+    sf1= one;
+    for(i= 0; i<10; i++){
+        sf1= av_div_sf(one, av_normalize_sf(av_add_sf(one, sf1)));
+    }
+    printf("test1 sf    =%d\n", av_sf2int(sf1, 24));
+
+
+    for(i= 0; i<100; i++){
+        START_TIMER
+        d1= i;
+        d2= i/100.0;
+        for(j= 0; j<1000; j++){
+            d1= (d1+1)*d2;
+        }
+        STOP_TIMER("float add mul")
+    }
+    printf("test2 double=%d\n", (int)(d1 * (1<<24)));
+
+    for(i= 0; i<100; i++){
+        START_TIMER
+        sf1= av_int2sf(i, 0);
+        sf2= av_div_sf(av_int2sf(i, 2), av_int2sf(200, 3));
+        for(j= 0; j<1000; j++){
+            sf1= av_mul_sf(av_add_sf(sf1, one),sf2);
+        }
+        STOP_TIMER("softfloat add mul")
+    }
+    printf("test2 sf    =%d (%d %d)\n", av_sf2int(sf1, 24), sf1.exp, sf1.mant);
+    return 0;
+}

libavutil/softfloat.h

+//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);
+}