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Copy pathtest16lpvip32monte.cpp
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201 lines (182 loc) · 6.27 KB
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//some numeric tests of xlns16lpvip32.cpp and xlns16monte.cpp
#include <stdio.h>
#include <stdlib.h>
#include <iostream>
#define xlns16_alt
#define xlns16_table
//#define xlns16_ideal
#include "xlns16.cpp"
#include "xlns32lpvip.cpp"
//choose either xlns16monte or xlns16monte_bylpvip
#include "xlns16monte.cpp"
//#include "xlns16monte_bylpvip.cpp" //must be after xlns32lpvip when using this
#define SOFTPOS 0
float rndfp[10000];
xlns16 rndlns16[10000];
float rndfpx[10000];
xlns16 rndlns16x[10000];
void initrndfp(float rndfp[],int limit)
{
int i;
for (i=0; i<limit; i++)
{
rndfp[i] = 4.0*((float) rand())/RAND_MAX - 1.0;
rndlns16[i] = fp2xlns16(rndfp[i]);
rndfpx[i] = 4.0*((float) rand())/RAND_MAX - 1.0;
rndlns16x[i] = fp2xlns16(rndfpx[i]);
//printf("%f\n",rndfp[i]);
}
}
float frndtest1fp(int limit,float rndfp[])
{
float sum;
int i;
sum = 0;
for (i=0; i<limit; i++) //scaled down to 100
{
sum += rndfp[i];
}
//printf("rndtest1fp sum=%f\n", sum);
return sum;
}
float xfrndtest1fp(int limit,float rndfp[],float rndfpx[])
{
float sum;
int i;
sum = 0;
for (i=0; i<limit; i++) //scaled down to 100
{
sum += rndfp[i]*rndfpx[i];
}
//printf("rndtest1fp sum=%f\n", sum);
return sum;
}
// Full softmax: exp(a[i]-max) / sum(exp(a[j]-max))
float xfrndtest1fpsoftmax(int n, float a[], float c[])
{
float maxval = a[0];
for (size_t i = 0; i < n; i++)
maxval = (maxval<a[i])?a[i]:maxval;
for (size_t i = 0; i < n; i++)
c[i] = exp(a[i]-maxval);
float total = 0;
for (size_t i=0; i < n; i++)
total += c[i];
for (size_t i = 0; i < n; i++)
c[i] = c[i]/total;
return c[SOFTPOS];
}
float frndtest1bf16(int limit,float rndfp[])
{
float sum;
int i;
int bfval;
sum = 0;
for (i=0; i<limit; i++) //scaled down to 100
{
bfval = 0xFFFF0000&*((unsigned int *) &rndfp[i]);
sum += *((float *) &bfval);
}
//printf("rndtest1fp sum=%f\n", sum);
return sum;
}
float xfrndtest1bf16(int limit,float rndfp[], float rndfpx[])
{
float sum;
int i;
int bfval, bfvalx;
sum = 0;
for (i=0; i<limit; i++) //scaled down to 100
{
bfval = 0xFFFF0000&*((unsigned int *) &rndfp[i]);
bfvalx = 0xFFFF0000&*((unsigned int *) &rndfpx[i]);
sum += ( *((float *) &bfval) ) * ( *((float *) &bfvalx) );
}
//printf("rndtest1fp sum=%f\n", sum);
return sum;
}
int main()
{
int limit;
float rfp;
float rlns,rerr;
float rlns16monte,rerrmonte;
float rlns32lpvip,rerr32lpvip;
float rfp16,rerr16;
printf(" n fp32(exact) fp32/bf16 rerr xlns16_sum rerr xlns16_sum_monte rerr xlns16_sum_lpvip32 rerr\n");
for (limit=20; limit<200; limit+=20)
{
initrndfp(rndfp,limit);
rfp = frndtest1fp(limit, rndfp);
rlns = xlns162fp(xlns16_sum(rndlns16, limit));
rerr = fabs((rfp-rlns)/rfp);
rfp16 = frndtest1bf16(limit, rndfp);
rerr16 = fabs((rfp-rfp16)/rfp);
rlns16monte = xlns162fp(xlns16_sum_monte(rndlns16, limit));
rerrmonte = fabs((rfp-rlns16monte)/rfp);
rlns32lpvip = xlns162fp(xlns16_sum_lpvip32(rndlns16, limit));
rerr32lpvip = fabs((rfp-rlns32lpvip)/rfp);
printf("%5i %12.6f %12.6f %8.6f %12.6f %8.6f %12.6f %8.6f %12.6f %8.6f\n",
limit,rfp,rfp16,rerr16,rlns,rerr,rlns16monte,rerrmonte,rlns32lpvip,rerr32lpvip);
}
for (limit=200; limit<=10000; limit+=200)
{
initrndfp(rndfp,limit);
rfp = frndtest1fp(limit, rndfp);
rlns = xlns162fp(xlns16_sum(rndlns16, limit));
rerr = fabs((rfp-rlns)/rfp);
rfp16 = frndtest1bf16(limit, rndfp);
rerr16 = fabs((rfp-rfp16)/rfp);
rlns16monte = xlns162fp(xlns16_sum_monte(rndlns16, limit));
rerrmonte = fabs((rfp-rlns16monte)/rfp);
rlns32lpvip = xlns162fp(xlns16_sum_lpvip32(rndlns16, limit));
rerr32lpvip = fabs((rfp-rlns32lpvip)/rfp);
printf("%5i %12.6f %12.6f %8.6f %12.6f %8.6f %12.6f %8.6f %12.6f %8.6f\n",
limit,rfp,rfp16,rerr16,rlns,rerr,rlns16monte,rerrmonte,rlns32lpvip,rerr32lpvip);
}
printf("\n");
printf(" n fp32(exact) fp32/bf16 rerr xlns16_vec_dot rerr _vec_dot_monte rerr _vec_dot_lpvip32 rerr\n");
for (limit=1000; limit<=10000; limit+=1000)
{
initrndfp(rndfp,limit);
rfp = xfrndtest1fp(limit, rndfp, rndfpx);
rlns = xlns162fp(xlns16_vec_dot(rndlns16, rndlns16x, limit));
rerr = fabs((rfp-rlns)/rfp);
rfp16 = xfrndtest1bf16(limit, rndfp, rndfpx);
rerr16 = fabs((rfp-rfp16)/rfp);
rlns16monte = xlns162fp(xlns16_vec_dot_monte(rndlns16, rndlns16x, limit));
rerrmonte = fabs((rfp-rlns16monte)/rfp);
rlns32lpvip = xlns162fp(xlns16_vec_dot_lpvip32(rndlns16, rndlns16x, limit));
rerr32lpvip = fabs((rfp-rlns32lpvip)/rfp);
printf("%5i %12.6f %12.6f %8.6f %12.6f %8.6f %12.6f %8.6f %12.6f %8.6f\n",
limit,rfp,rfp16,rerr16,rlns,rerr,rlns16monte,rerrmonte,rlns32lpvip,rerr32lpvip);
}
printf("\n");
printf(" n fp32(exact) xlns16_softmax rerr _softmax_monte rerr _softmax_lpvip32 rerr\n");
for (limit=200; limit<=4000; limit+=200)
{
initrndfp(rndfp,limit);
rndfp[0] = 3.14159;
rndlns16[0] = fp2xlns16(rndfp[0]);
for (size_t i=1; i<128; i++)
{
rndfp[i] = rndfp[i-1]/(1.+1./128.);
rndlns16[i] = fp2xlns16(rndfp[i]);
//printf("%04x ",rndlns16[i]);
}
//printf("\n");
rfp = xfrndtest1fpsoftmax(limit, rndfp, rndfpx);
xlns16_softmax(rndlns16, rndlns16x, limit);
rlns = xlns162fp(rndlns16x[SOFTPOS]);
rerr = fabs((rfp-rlns)/rfp);
xlns16_softmax_monte(rndlns16, rndlns16x, limit);
rlns16monte = xlns162fp(rndlns16x[SOFTPOS]);
rerrmonte = fabs((rfp-rlns16monte)/rfp);
xlns16_softmax_lpvip32(rndlns16, rndlns16x, limit);
rlns32lpvip = xlns162fp(rndlns16x[SOFTPOS]);
rerr32lpvip = fabs((rfp-rlns32lpvip)/rfp);
printf("%5i %12.6f %12.6f %8.6f %12.6f %8.6f %12.6f %8.6f\n",
limit,rfp,rlns,rerr,rlns16monte,rerrmonte,rlns32lpvip,rerr32lpvip);
}
return 1;
}