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#include <cstdlib>
#include <ctime>
#include <limits>
#include <cfloat>
#include <cmath>
#include <iostream>
#include <cassert>
#ifdef _WIN32
#define random() rand()
#define nextafterf(a, b) (throw "no nextafterf", 0);
#endif
#include <util/ieee_float.h>
#define PINF (std::numeric_limits<float>::infinity())
#define NINF (-std::numeric_limits<float>::infinity())
#ifndef NZERO
#define NZERO (-0.0f)
#endif
#define PZERO (0.0f)
#ifndef NAN
# define NAN (std::numeric_limits<float>::quiet_NaN())
#endif
std::string float2binary(float f)
{
union
{
float f;
int i;
} c;
c.f = f;
return integer2binary(c.i, 32);
}
float random_float()
{
union
{
float f;
unsigned i;
} u;
unsigned r = ((unsigned) random()) % 20;
switch(r)
{
case 0:
return PINF;
break;
case 1:
return NINF;
break;
case 2:
return NAN;
break;
case 3:
return PZERO;
break;
case 4:
return NZERO;
break;
default:
u.i=random();
u.i=(u.i<<16)^random();
return u.f;
}
}
bool eq(const ieee_floatt &a, const ieee_floatt &b)
{
if(a.is_NaN() && b.is_NaN()) return true;
if(a.is_infinity() && b.is_infinity() && a.get_sign()==b.get_sign()) return true;
return a==b;
}
typedef enum { PLUS=0, MINUS=1, MULT=2, DIV=3 } binopt;
typedef enum { EQ=0, NEQ=1, LT=2, LE=3, GT=4, GE=5} binrel;
const char *binopsyms[]={ " + ", " - ", " * ", " / " };
const char *binrelsyms[]={ " == ", " != ", " < ", " <= ", " > ", " >= "};
void check_arithmetic(int i)
{
ieee_floatt i1, i2, i3, res;
float f1, f2, f3;
f1=random_float();
f2=random_float();
i1.from_float(f1);
i2.from_float(f2);
res=i1;
f3=f1;
int op=(binopt)i%4;
switch(op)
{
case PLUS:
f3+=f2;
res+=i2;
break;
case MINUS:
f3-=f2;
res-=i2;
break;
case MULT:
f3*=f2;
res*=i2;
break;
case DIV:
f3/=f2;
res/=i2;
break;
default:assert(0);
}
i3.from_float(f3);
if(!eq(res, i3))
{
const char *opsym=binopsyms[op];
std::cout << i1 << opsym << i2 << " != " << res << std::endl;
std::cout << f1 << opsym << f2 << " == " << f3 << std::endl;
std::cout << integer2binary(i1.get_fraction(), i1.spec.f+1) << opsym <<
integer2binary(i2.get_fraction(), i1.spec.f+1) << " != " <<
integer2binary(res.get_fraction(), i1.spec.f+1) <<
" (" << res.get_fraction() << ")" << std::endl;
std::cout << integer2binary(i1.get_fraction(), i1.spec.f+1) << opsym <<
integer2binary(i2.get_fraction(), i1.spec.f+1) << " == " <<
integer2binary(i3.get_fraction(), i1.spec.f+1) <<
" (" << i3.get_fraction() << ")" << std::endl;
std::cout << std::endl;
}
}
void check_comparison(int i)
{
ieee_floatt i1, i2;
float f1, f2;
bool ires, fres;
f1=random_float();
f2=random_float();
i1.from_float(f1);
i2.from_float(f2);
int op=(binrel)i%6;
switch(op)
{
case EQ:
ires = ieee_equal(i1, i2);
fres = (f1 == f2);
break;
case NEQ:
ires = ieee_not_equal(i1, i2);
fres = (f1 != f2);
break;
case LT:
ires = (i1 < i2);
fres = (f1 < f2);
break;
case LE:
ires = (i1 <= i2);
fres = (f1 <= f2);
break;
case GT:
ires = (i1 > i2);
fres = (f1 > f2);
break;
case GE:
ires = (i1 >= i2);
fres = (f1 >= f2);
break;
default:
assert(0);
}
if(ires != fres)
{
const char *opsym=binrelsyms[op];
std::cout << i1 << opsym << i2 << " != " << ires << std::endl;
std::cout << f1 << opsym << f2 << " == " << fres << std::endl;
std::cout << integer2binary(i1.get_fraction(), i1.spec.f+1) << opsym <<
integer2binary(i2.get_fraction(), i1.spec.f+1) << " != " << ires;
std::cout << integer2binary(i1.get_fraction(), i1.spec.f+1) << opsym <<
integer2binary(i2.get_fraction(), i1.spec.f+1) << " == " << fres;
std::cout << std::endl;
}
}
void check_conversion(int i)
{
union
{
float f;
unsigned i;
} a, b;
a.f = random_float();
ieee_floatt t;
t.from_float(a.f);
assert(t.is_float());
b.f = t.to_float();
if(a.i != b.i && !((a.f != a.f) && (b.f != b.f)))
{
std::cout << "conversion failure: " << a.f << " -> " << t << " -> "
<< b.f << std::endl;
}
}
void check_nextafter(int i)
{
float f1 = random_float();
float f2 = nextafterf(f1, PINF);
float f3 = nextafterf(f1, NINF);
ieee_floatt i1, i2, i3;
i1.from_float(f1);
i2 = i1;
i2.increment(false);
i3 = i1;
i3.decrement(false);
if((f1 != i1.to_float() && !(f1 != f1 && i1.is_NaN())) ||
(f2 != i2.to_float() && !(f2 != f2 && i2.is_NaN())) ||
(f3 != i3.to_float() && !(f3 != f3 && i3.is_NaN())))
{
std::cout << "Incorrect nextafter: " << std::endl
<< "mach float: " << f1 << " " << f2 << " " << f3 << std::endl
<< "ieee_float: " << i1.to_float() << " "
<< i2.to_float() << " " << i3.to_float() << std::endl;
std::cout << "Binary representation: " << std::endl
<< "mach float: " << float2binary(f1) << " "
<< float2binary(f2) << " " << float2binary(f3) << std::endl
<< "ieee_float: " << float2binary(i1.to_float()) << " "
<< float2binary(i2.to_float())
<< " " << float2binary(i3.to_float()) << std::endl;
}
}
void check_minmax()
{
float f = 0;
ieee_floatt t;
t.from_float(f);
t.make_fltmax();
if(t.to_float() != FLT_MAX)
std::cout << "make_fltmax is broken" << std::endl;
t.make_fltmin();
if(t.to_float() != FLT_MIN)
std::cout << "make_fltmin is broken:"
<< std::endl << " machine float: " << FLT_MIN
<< ", ieee_floatt: " << t.to_float() << "("
<< (t.to_float() == FLT_MIN) << ")" << std::endl;
}
void check_build_extract()
{
float f = random_float();
ieee_floatt t;
t.from_float(f);
mp_integer old_frac, old_exp;
t.extract_base2(old_frac, old_exp);
mp_integer frac_bak=old_frac, exp_bak=old_exp;
t.build(old_frac, old_exp);
t.extract_base2(old_frac, old_exp);
if(frac_bak != old_frac || exp_bak != old_exp)
std::cout << "extract - build - extract is broken for " << t << std::endl;
}
int main()
{
srand(time(0));
check_minmax();
for(unsigned i=0; i<100000; i++)
{
if(i%10000==0) std::cout << "*********** " << i << std::endl;
check_arithmetic(i);
check_comparison(i);
check_conversion(i);
check_nextafter(i);
check_build_extract();
}
}
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