INT X(choose_radix)(INT r, INT n)
{
if (r > 0) {
if (divides(r, n)) return r;
return 0;
} else if (r == 0) {
return X(first_divisor)(n);
} else {
/* r is negative. If n = (-r) * q^2, take q as the radix */
r = 0 - r;
return (n > r && divides(r, n)) ? isqrt_maybe(n / r) : 0;
}
}
// does n divide m?
int divides(int n, int m) {
if (m == 0) {
return 1; // true
}
if (n > m) {
return 0; // false
}
return divides(n, m - n);
}
bool prime (uint n) {
uint i;
if (even (n))
return (n == 2);
for (i = 3; i * i <= n; i += 2) {
if (divides (i, n)) /* ai: loop here min 0 max 357 end; */
return 0;
}
return (n > 1);
}
TEST(factors, divides_zero) {
EXPECT_TRUE(divides(1, 0));
EXPECT_TRUE(divides(2, 0));
EXPECT_TRUE(divides(3, 0));
EXPECT_FALSE(divides(0, 0));
EXPECT_FALSE(divides(0, 1));
EXPECT_FALSE(divides(0, 2));
EXPECT_FALSE(divides(0, 3));
}
unsigned long smallest_divisor(int n) {
int divisor = 2;
for (;;) {
if (square(divisor) > n)
return n;
else if (divides(divisor, n))
return divisor;
else
divisor++;
}
}
int
common(unsigned long b, unsigned long a){
unsigned long i;
for (i=2; i<min(a,b); i++)
if(is_prime(i)){
int ax, bx;
ax = divides(i,a);
bx = divides(i,b);
//printf (" %lu %lu %d %lu %lu %d ", a, i, ax, b, i, bx);
if ( ax & bx) {
//printf(" true, common \n");
return 1;
}
//printf("\n");
}
//printf(" false, no common \n");
return 0;
}
int X(dft_ct_applicable)(const solver_ct *ego, const problem *p_)
{
if (DFTP(p_)) {
const problem_dft *p = (const problem_dft *) p_;
const ct_desc *d = ego->desc;
return ( p->sz->rnk == 1
&& p->vecsz->rnk <= 1
&& divides(d->radix, p->sz->dims[0].n)
);
}
return 0;
}
int main() {
/*
std::vector<long> primes;
primes.push_back(2);
primes.push_back(3);
primes.push_back(5);
Range r(2, 100);
for (RangeIterator ri = r.begin(); ri != r.end(); ri++) {
//std::cout << *ri << std::endl;
bool prime = true;
double end = sqrt(*ri);
for (std::vector<long>::const_iterator pi = primes.begin(); pi != primes.end(); pi++) {
if (divides(*pi, *ri)) {
prime = false;
break;
} else if (*pi > end) {
break;
}
}
if (prime) {
primes.push_back(*ri);
}
}
print_vector(&primes);*/
//int n = 13195;
long n = 600851475143;
Range r2(2, sqrt(n)+1);
long largest = 1;
while (true) {
bool divided = false;
for (RangeIterator ri = r2.begin(); ri != r2.end(); ri++) {
if (divides(*ri, n)) {
n /= *ri;
if (*ri > largest) {
largest = *ri;
}
divided = true;
break;
}
}
if (!divided) {
break;
}
}
std::cout << largest << std::endl;
return 0;
}
bool prime (uint n) {
uint i;
if (even (n))
return (n == 2);
_Pragma("loopbound min 73 max 357")
__llvm_pcmarker(0);
for (i = 3; i * i <= n; i += 2) {
__llvm_pcmarker(1);
if (divides (i, n)) /* ai: loop here min 0 max 357 end; */
return 0;
}
return (n > 1);
}
int
findfactors (long double find){
long double i;
int factors = 0;
long double max = sqrtl(find) + 1 ;
for ( i = 1 ; i <= max; i++){
if (divides(i, find)) {
// printf("%0.0Lf ", i);
factors++;
}
}
return factors*2;
}
/*
* Perform simple optimization:
* if h = k*g for some generators g!=h and natural number k, then remove h from generators
*/
void clean_generators_simple(LinSet &ls) {
// check for all pairs of generators (g,h) if divides(h,g)
for(auto g = ls.second.begin(); g!=ls.second.end(); ++g) {
for(auto h = ls.second.begin(); h!=ls.second.end();) {
if(g==h){
++h;
continue;
}
if(divides(*g,*h)) {
h = ls.second.erase(h);
}
else
++h;
}
}
}
int main() {
int m = __VERIFIER_nondet_int();
if (m <= 0 || m > 2147483647) {
return 0;
}
int n = __VERIFIER_nondet_int();
if (n <= 0 || n > 2147483647) {
return 0;
}
if (m > 0 && n > 0) {
int z = gcd(m, n);
if (divides(z, m) == 0) {
ERROR: __VERIFIER_error();
} else {
return 0;
}
}
}
TEST(factors, divides_simple) {
EXPECT_TRUE(divides(1, 1));
EXPECT_TRUE(divides(1, 2));
EXPECT_TRUE(divides(1, 3));
EXPECT_TRUE(divides(2, 2));
EXPECT_TRUE(divides(2, 4));
EXPECT_TRUE(divides(3, 3));
EXPECT_TRUE(divides(3, 6));
EXPECT_FALSE(divides(2, 1));
EXPECT_FALSE(divides(3, 1));
EXPECT_FALSE(divides(2, 3));
EXPECT_FALSE(divides(4, 6));
EXPECT_FALSE(divides(5, 6));
EXPECT_FALSE(divides(7, 6));
}
static vl::Error
forward_backward
(vl::Context& context,
type* output,
type* derData,
type* derGrid,
type const* data,
type const* grid,
type const* derOutput,
size_t outHeight, size_t outWidth, size_t outDepth, size_t outCardinality,
size_t inHeight, size_t inWidth, size_t inCardinality)
{
vl::Error error = vl::vlSuccess ;
bool backward = backwardData | backwardGrid ;
// common conditions
assert(grid) ;
assert(divides(inCardinality, outCardinality)) ;
// forward conditions
assert(backward || data) ;
assert(backward || output) ;
// backward conditions
assert(!backward || derOutput) ;
assert(!backwardData || derData) ;
assert(!backwardGrid || derGrid) ;
assert(!backwardGrid || data) ;
int groupSize = outCardinality / inCardinality ;
// don't need these -- as already being initialized with zeros in the mex file:
// if (backwardData) {
// memset(derData, 0, inHeight * inWidth * outDepth * inCardinality * sizeof(type)) ;
// }
// if (backwardGrid) {
// memset(derGrid, 0, 2 * outHeight * outWidth * outCardinality * sizeof(type)) ;
// }
for (int n = 0 ; n < outCardinality ; ++n) {
for (int c = 0 ; c < outDepth ; ++c) {
type const * end = grid + 2 * outWidth * outHeight ;
while (grid < end) {
type py = *grid++ ;
type px = *grid++ ;
py = type(0.5)*(py + type(1.0)) * (inHeight - 1) ;
px = type(0.5)*(px + type(1.0)) * (inWidth - 1) ;
const int sx = floor(px); // todo: check floor vs floorf
const int sy = floor(py);
type acc = 0 ;
type dgridx = 0 ;
type dgridy = 0 ;
type dy ;
if (backward) {
dy = *derOutput++ ;
}
// todo: check boundary conditions in other frameworks and make
// them the same
if (-1 <= sy && sy < inHeight && -1 <= sx && sx < inWidth) {
// get the interpolation weights
const type wx = px - sx ;
const type wy = py - sy ;
#pragma unroll
for (int j=0; j < 2; j++) {
#pragma unroll
for (int i=0; i < 2; i++) {
int ssy = sy + i ;
int ssx = sx + j ;
if (ssy < 0 || ssy >= inHeight || ssx < 0 || ssx >= inWidth) {
continue ;
}
type wwx = (1-j)*(1-wx) + j*wx ;
type wwy = (1-i)*(1-wy) + i*wy ;
type ww = wwx * wwy ;
if (!backward) {
acc += ww * data[ssy + ssx * inHeight];
} else {
if (backwardData) {
derData[ssy + ssx * inHeight] += ww * dy ;
}
if (backwardGrid) {
type x = data[ssy + ssx * inHeight] ;
dgridx += (2*j-1) * wwy * dy * x ;
dgridy += (2*i-1) * wwx * dy * x ;
}
}
}
}
}
if (!backward) {
*output++ = acc ;
}
if (backwardGrid) {
*derGrid++ += type(0.5)*(inHeight - 1) * dgridy ;
*derGrid++ += type(0.5)*(inWidth - 1) * dgridx ;
}
}
// next channel
data += inHeight * inWidth ;
derData +=inHeight * inWidth ;
grid -= 2 * outHeight * outWidth ;
derGrid -= 2 * outHeight * outWidth ;
}
// next image
if ((n + 1) % groupSize != 0) {
data -= inHeight * inWidth * outDepth ;
derData -= inHeight * inWidth * outDepth ;
}
grid += 2 * outHeight * outWidth ;
derGrid += 2 * outHeight * outWidth ;
}
return error ;
}
inline
bool even(uint n)
{
return (divides(2, n));
}
bool even (ulong n) {
return (divides (2, n));
}