static double RunTiming
(enum CBLAS_ORDER Order, enum TEST_UPLO Uplo, int N, int lda,
int CacheSize, int nreps)
{
TYPE *A, *a;
const int incA = N*lda;
int i, k;
double t0, t1=0.0;
if (nreps < 1) nreps = 1;
i = ATL_DivBySize(2*CacheSize) ATL_PTCACHEMUL;
k = i = (i + N*N-1) / (N*N);
if (nreps > i) k = i = nreps;
a = A = malloc(i * ATL_MulBySize(incA));
if (A)
{
if (Uplo == TestGE)
for (i=0; i < k; i++) Mjoin(PATL,gegen)(N, N, A+i*incA, lda, N+lda);
else for (i=0; i < k; i++) hegen(Order, Uplo, N, A+i*incA, lda);
t0 = time00();
for (i=nreps; i; i--, a += incA) test_inv(Order, Uplo, N, a, lda);
t1 = time00() - t0;
free(A);
}
else fprintf(stderr, " WARNING: not enough mem to run timings!\n");
return(t1/nreps);
}
static double RunTest
(enum CBLAS_ORDER Order, enum TEST_UPLO Uplo, int N, int lda,
int CacheSize, TYPE *res)
{
TYPE *A, *AI, *C;
int ierr;
double t0, t1;
A = GetMat(Order, Uplo, N, lda);
#ifdef DEBUG
Mjoin(PATL,geprint)("A0", N, N, A, lda);
#endif
AI = DupMat(Order, N, N, A, lda, lda);
t0 = ATL_flushcache(CacheSize);
t0 = ATL_flushcache(-1);
t0 = time00();
test_inv(Order, Uplo, N, AI, lda); /* AI should now have inverse(A) */
t1 = time00() - t0;
t0 = ATL_flushcache(0);
#ifdef DEBUG
Mjoin(PATL,geprint)("A ", N, N, A, lda);
Mjoin(PATL,geprint)("AI", N, N, AI, lda);
#endif
*res = GetResid(Order, Uplo, N, A, lda, AI, lda);
free(AI);
free(A);
return(t1);
}
static void test44() {
SkMatrix44 m0, m1, m2;
test_inv("identity", m0);
m0.setTranslate(2,3,4);
test_inv("translate", m0);
m0.setScale(2,3,4);
test_inv("scale", m0);
m0.postTranslate(5, 6, 7);
test_inv("postTranslate", m0);
m0.setScale(2,3,4);
m1.setTranslate(5, 6, 7);
m0.setConcat(m0, m1);
test_inv("postTranslate2", m0);
m0.setScale(2,3,4);
m0.preTranslate(5, 6, 7);
test_inv("preTranslate", m0);
m0.setScale(2, 4, 6);
m0.postScale(SkDoubleToMScalar(0.5));
test_inv("scale/postscale to 1,2,3", m0);
m0.reset();
test_map(1, 0, 0, m0, 1, 0, 0);
test_map(0, 1, 0, m0, 0, 1, 0);
test_map(0, 0, 1, m0, 0, 0, 1);
m0.setScale(2, 3, 4);
test_map(1, 0, 0, m0, 2, 0, 0);
test_map(0, 1, 0, m0, 0, 3, 0);
test_map(0, 0, 1, m0, 0, 0, 4);
m0.setTranslate(2, 3, 4);
test_map(0, 0, 0, m0, 2, 3, 4);
m0.preScale(5, 6, 7);
test_map(1, 0, 0, m0, 7, 3, 4);
test_map(0, 1, 0, m0, 2, 9, 4);
test_map(0, 0, 1, m0, 2, 3, 11);
SkMScalar deg = 45;
m0.setRotateDegreesAbout(0, 0, 1, deg);
test_map(1, 0, 0, m0, 0.707106769, -0.707106769, 0);
m0.reset();
test_33(m0, 1, 0, 0, 0, 1, 0);
m0.setTranslate(3, 4, 5);
test_33(m0, 1, 0, 3, 0, 1, 4);
}
int main(int argc, char *argv[])
{
int ans;
char *str, *strout;
fmpz_poly_t zpoly;
fmpz_poly_q_t qpoly1;
mpz_t mpzzero, mpzone, mpztwo;
mpq_t mpqzero, mpqone, mpqtwo, mpqtwoinv;
FLINT_TEST_INIT(state);
flint_printf("all... ");
fflush(stdout);
/* Accessing numerator and denominator ***********************************/
fmpz_poly_q_init(qpoly1);
fmpz_poly_q_set_str(qpoly1, "2 -1 1/2 0 1");
str = "2 -1 1";
strout = fmpz_poly_get_str(fmpz_poly_q_numref(qpoly1));
ans = !strcmp(str, strout);
if (!ans)
{
flint_printf("test_numref: failed\n");
flint_printf(" Expected \"%s\", got \"%s\"\n", str, strout);
flint_printf(" qpoly1 = \""), fmpz_poly_q_print(qpoly1), flint_printf("\"\n");
abort();
}
fmpz_poly_q_clear(qpoly1);
flint_free(strout);
fmpz_poly_q_init(qpoly1);
fmpz_poly_q_set_str(qpoly1, "2 -1 1/2 0 1");
str = "2 0 1";
strout = fmpz_poly_get_str(fmpz_poly_q_denref(qpoly1));
ans = !strcmp(str, strout);
if (!ans)
{
flint_printf("test_denref: failed\n");
flint_printf(" Expected \"%s\", got \"%s\"\n", str, strout);
abort();
}
fmpz_poly_q_clear(qpoly1);
flint_free(strout);
fmpz_poly_q_init(qpoly1);
fmpz_poly_init(zpoly);
fmpz_poly_q_set_str(qpoly1, "2 -1 1/2 0 1");
fmpz_poly_set(zpoly, fmpz_poly_q_numref(qpoly1));
str = "2 -1 1";
strout = fmpz_poly_get_str(zpoly);
ans = !strcmp(str, strout);
if (!ans)
{
flint_printf("test_get_num: failed\n");
flint_printf(" Expected \"%s\", got \"%s\"\n", str, strout);
abort();
}
fmpz_poly_q_clear(qpoly1);
fmpz_poly_clear(zpoly);
flint_free(strout);
fmpz_poly_q_init(qpoly1);
fmpz_poly_init(zpoly);
fmpz_poly_q_set_str(qpoly1, "2 -1 1/2 0 1");
fmpz_poly_set(zpoly, fmpz_poly_q_denref(qpoly1));
str = "2 0 1";
strout = fmpz_poly_get_str(zpoly);
ans = !strcmp(str, strout);
if (!ans)
{
flint_printf("test_get_den: failed\n");
flint_printf(" Expected \"%s\", got \"%s\"\n", str, strout);
abort();
}
fmpz_poly_q_clear(qpoly1);
fmpz_poly_clear(zpoly);
flint_free(strout);
fmpz_poly_q_init(qpoly1);
fmpz_poly_init(zpoly);
fmpz_poly_q_set_str(qpoly1, "1 1/1 1");
fmpz_poly_set_str(zpoly, "2 0 1");
fmpz_poly_set(fmpz_poly_q_numref(qpoly1), zpoly);
str = "2 0 1";
strout = fmpz_poly_get_str(fmpz_poly_q_numref(qpoly1));
ans = !strcmp(str, strout);
if (!ans)
{
flint_printf("test_set_num: failed\n");
flint_printf(" Expected \"%s\", got \"%s\"\n", str, strout);
abort();
}
fmpz_poly_q_clear(qpoly1);
fmpz_poly_clear(zpoly);
flint_free(strout);
fmpz_poly_q_init(qpoly1);
fmpz_poly_init(zpoly);
fmpz_poly_q_set_str(qpoly1, "1 1/1 1");
fmpz_poly_set_str(zpoly, "2 0 1");
fmpz_poly_set(fmpz_poly_q_denref(qpoly1), zpoly);
str = "2 0 1";
strout = fmpz_poly_get_str(fmpz_poly_q_denref(qpoly1));
ans = !strcmp(str, strout);
if (!ans)
{
flint_printf("test_set_den: failed\n");
flint_printf(" Expected \"%s\", got \"%s\"\n", str, strout);
abort();
}
fmpz_poly_q_clear(qpoly1);
fmpz_poly_clear(zpoly);
flint_free(strout);
/* Canonicalise **********************************************************/
fmpz_poly_q_init(qpoly1);
str = "2 -1 1/2 0 1";
fmpz_poly_q_set_str(qpoly1, str);
strout = fmpz_poly_q_get_str(qpoly1);
ans = !strcmp(str, strout);
if (!ans)
{
flint_printf("test_canonicalize: failed\n");
flint_printf(" Expected \"%s\", got \"%s\"\n", str, strout);
abort();
}
fmpz_poly_q_clear(qpoly1);
flint_free(strout);
fmpz_poly_q_init(qpoly1);
str = "2 -1 -1/2 0 1";
fmpz_poly_q_set_str(qpoly1, "2 1 1/2 0 -1");
strout = fmpz_poly_q_get_str(qpoly1);
ans = !strcmp("2 -1 -1/2 0 1", strout);
if (!ans)
{
flint_printf("test_canonicalize: failed\n");
flint_printf(" Expected \"%s\", got \"%s\"\n", str, strout);
abort();
}
flint_free(strout);
fmpz_poly_q_clear(qpoly1);
/* Initialization, memory management and basic operations ****************/
test_set("0", "0");
test_set("0/1 1", "0");
test_set("3 -1 0 1/2 0 1", "3 -1 0 1/2 0 1");
test_set("3 -1 0 1/2 1 1", "2 -1 1");
test_set_si(-1, "1 -1");
test_set_si(13, "1 13");
test_set_si(0, "0");
test_swap("3 -1 0 1/2 0 1", "1 2/1 3", "1 2/1 3", "3 -1 0 1/2 0 1");
test_zero("0", "0");
test_zero("0/1 1", "0");
test_zero("3 -1 0 1/2 0 1", "0");
test_neg("0", "0");
test_neg("1 1/1 2", "1 -1/1 2");
test_neg("3 -1 0 1/2 0 1", "3 1 0 -1/2 0 1");
test_inv("1 1/1 2", "1 2");
test_inv("3 -1 0 1/2 0 1", "2 0 1/3 -1 0 1");
test_inv("3 -1 0 -1/2 0 1", "2 0 -1/3 1 0 1");
test_inv_inplace("1 1/1 2", "1 2");
test_inv_inplace("3 -1 0 1/2 0 1", "2 0 1/3 -1 0 1");
test_inv_inplace("3 -1 0 -1/2 0 1", "2 0 -1/3 1 0 1");
test_is_zero("0", 1);
test_is_zero("0/1 1", 1);
test_is_zero("3 -1 0 1/2 0 1", 0);
test_is_zero("3 -1 0 1/2 1 1", 0);
test_is_one("0", 0);
test_is_one("0/1 1", 0);
test_is_one("1 1/1 1", 1);
test_is_one("2 1 1/2 1 1", 1);
test_is_one("3 -1 0 1/2 0 1", 0);
test_equal("1 1/1 2", "1 1/1 2", 1);
test_equal("1 1/1 2", "1 1/1 2", 1);
test_equal("3 -1 0 1/2 1 1", "2 -1 1", 1);
test_equal("3 -1 0 1/2 -1 1", "2 -1 1", 0);
/* Addition and subtraction **********************************************/
test_add("3 1 0 1/2 0 1", "2 0 -1/3 1 0 1", "5 1 0 1 0 1/4 0 1 0 1");
test_add("3 -1 0 1/2 1 1", "1 2/2 -1 1", "3 3 -2 1/2 -1 1");
test_add("0/2 1 1", "1 2/1 1", "1 2");
test_add("1 -3/1 4", "0/3 1 0 1", "1 -3/1 4");
test_add("2 1 1/1 1", "2 -1 1/1 1", "2 0 2");
test_add("2 1 1/2 0 1", "2 2 1/2 -1 1", "3 -1 2 2/3 0 -1 1");
test_add("2 -1 1/2 2 1", "3 4 4 1/2 1 1", "4 7 12 7 1/3 2 3 1");
test_add("2 1 1/2 -1 1", "2 1 1", "3 0 1 1/2 -1 1");
test_add("1 1/2 1 1", "2 0 1/2 1 1", "1 1");
test_add("2 1 1/3 4 -4 1", "1 1/2 -2 1", "2 -1 2/3 4 -4 1");
test_add("3 0 1 1/3 1 2 1", "2 0 -1/2 1 1", "0");
test_add("2 1 1/2 0 1", "2 -1 1/2 0 1", "1 2");
test_add("1 1/3 3 5 2", "1 1/3 6 7 2", "1 1/3 2 3 1");
test_add_in_place1("3 1 0 1/2 0 1", "2 0 -1/3 1 0 1", "5 1 0 1 0 1/4 0 1 0 1");
test_add_in_place1("3 -1 0 1/2 1 1", "1 2/2 -1 1", "3 3 -2 1/2 -1 1");
test_add_in_place1("0/2 1 1", "1 2/1 1", "1 2");
test_add_in_place1("1 -3/1 4", "0/3 1 0 1", "1 -3/1 4");
test_add_in_place1("2 1 1/1 1", "2 -1 1/1 1", "2 0 2");
test_add_in_place1("2 1 1/2 0 1", "2 2 1/2 -1 1", "3 -1 2 2/3 0 -1 1");
test_add_in_place1("2 -1 1/2 2 1", "3 4 4 1/2 1 1", "4 7 12 7 1/3 2 3 1");
test_add_in_place1("2 1 1/2 -1 1", "2 1 1", "3 0 1 1/2 -1 1");
test_add_in_place1("1 1/2 1 1", "2 0 1/2 1 1", "1 1");
test_add_in_place1("2 1 1/3 4 -4 1", "1 1/2 -2 1", "2 -1 2/3 4 -4 1");
test_add_in_place1("3 0 1 1/3 1 2 1", "2 0 -1/2 1 1", "0");
test_add_in_place1("2 1 1/2 0 1", "2 -1 1/2 0 1", "1 2");
test_add_in_place2("3 1 0 1/2 0 1", "2 0 -1/3 1 0 1", "5 1 0 1 0 1/4 0 1 0 1");
test_add_in_place2("3 -1 0 1/2 1 1", "1 2/2 -1 1", "3 3 -2 1/2 -1 1");
test_add_in_place2("0/2 1 1", "1 2/1 1", "1 2");
test_add_in_place2("1 -3/1 4", "0/3 1 0 1", "1 -3/1 4");
test_add_in_place2("2 1 1/1 1", "2 -1 1/1 1", "2 0 2");
test_add_in_place2("2 1 1/2 0 1", "2 2 1/2 -1 1", "3 -1 2 2/3 0 -1 1");
test_add_in_place2("2 -1 1/2 2 1", "3 4 4 1/2 1 1", "4 7 12 7 1/3 2 3 1");
test_add_in_place2("2 1 1/2 -1 1", "2 1 1", "3 0 1 1/2 -1 1");
test_add_in_place2("1 1/2 1 1", "2 0 1/2 1 1", "1 1");
test_add_in_place2("2 1 1/3 4 -4 1", "1 1/2 -2 1", "2 -1 2/3 4 -4 1");
test_add_in_place2("3 0 1 1/3 1 2 1", "2 0 -1/2 1 1", "0");
test_add_in_place2("2 1 1/2 0 1", "2 -1 1/2 0 1", "1 2");
test_add_in_place3("2 1 1", "2 2 2");
test_add_in_place3("2 1 1/1 2", "2 1 1");
test_sub("3 1 0 1/2 0 1", "2 0 -1/3 1 0 1", "5 1 0 3 0 1/4 0 1 0 1");
test_sub("3 -1 0 1/2 1 1", "1 2/2 -1 1", "3 -1 -2 1/2 -1 1");
test_sub("0/2 1 1", "1 2/1 1", "1 -2");
test_sub("1 -3/1 4", "0/3 1 0 1", "1 -3/1 4");
test_sub("2 1 1/1 1", "2 -1 1/1 1", "1 2");
test_sub("2 1 1/2 0 1", "2 2 1/2 -1 1", "2 -1 -2/3 0 -1 1");
test_sub("2 -1 1/2 2 1", "3 4 4 1/2 1 1", "4 -9 -12 -5 -1/3 2 3 1");
test_sub("2 -1 1/2 0 1", "1 1", "1 -1/2 0 1");
test_sub("3 1 0 1/2 0 1", "2 0 -1/3 1 0 1", "5 1 0 3 0 1/4 0 1 0 1");
test_sub("3 -1 0 1/2 1 1", "1 2/2 -1 1", "3 -1 -2 1/2 -1 1");
test_sub("0/2 1 1", "1 2/1 1", "1 -2");
test_sub("1 -3/1 4", "0/3 1 0 1", "1 -3/1 4");
test_sub("2 1 1/1 1", "2 -1 1/1 1", "1 2");
test_sub("2 1 1/2 0 1", "2 2 1/2 -1 1", "2 -1 -2/3 0 -1 1");
test_sub("2 -1 1/2 2 1", "3 4 4 1/2 1 1", "4 -9 -12 -5 -1/3 2 3 1");
test_sub("2 1 1/2 -1 1", "2 1 1", "3 2 1 -1/2 -1 1");
test_sub("1 1/2 1 1", "2 0 1/2 1 1", "2 1 -1/2 1 1");
test_sub("2 1 1/3 4 -4 1", "1 1/2 -2 1", "1 3/3 4 -4 1");
test_sub("3 0 1 1/3 1 2 1", "2 0 -1/2 1 1", "2 0 2/2 1 1");
test_sub("2 1 1/2 0 1", "2 -1 1/2 0 1", "1 2/2 0 1");
test_sub("1 1/3 3 5 2", "1 1/3 6 7 2", "1 1/4 6 13 9 2");
test_sub("2 1 1/2 0 2", "2 1 1/2 0 2", "0");
test_sub("2 -1 2/2 0 1", "2 -1 1/2 0 1", "1 1");
test_sub_in_place1("3 1 0 1/2 0 1", "2 0 -1/3 1 0 1", "5 1 0 3 0 1/4 0 1 0 1");
test_sub_in_place1("3 -1 0 1/2 1 1", "1 2/2 -1 1", "3 -1 -2 1/2 -1 1");
test_sub_in_place1("0/2 1 1", "1 2/1 1", "1 -2");
test_sub_in_place1("1 -3/1 4", "0/3 1 0 1", "1 -3/1 4");
test_sub_in_place1("2 1 1/1 1", "2 -1 1/1 1", "1 2");
test_sub_in_place1("2 1 1/2 0 1", "2 2 1/2 -1 1", "2 -1 -2/3 0 -1 1");
test_sub_in_place1("2 -1 1/2 2 1", "3 4 4 1/2 1 1", "4 -9 -12 -5 -1/3 2 3 1");
test_sub_in_place2("3 1 0 1/2 0 1", "2 0 -1/3 1 0 1", "5 1 0 3 0 1/4 0 1 0 1");
test_sub_in_place2("3 -1 0 1/2 1 1", "1 2/2 -1 1", "3 -1 -2 1/2 -1 1");
test_sub_in_place2("0/2 1 1", "1 2/1 1", "1 -2");
test_sub_in_place2("1 -3/1 4", "0/3 1 0 1", "1 -3/1 4");
test_sub_in_place2("2 1 1/1 1", "2 -1 1/1 1", "1 2");
test_sub_in_place2("2 1 1/2 0 1", "2 2 1/2 -1 1", "2 -1 -2/3 0 -1 1");
test_sub_in_place2("2 -1 1/2 2 1", "3 4 4 1/2 1 1", "4 -9 -12 -5 -1/3 2 3 1");
test_sub_in_place3("2 -1 1/2 2 1", "0");
test_addmul("1 1/2 0 2", "2 3 1/1 4", "3 1 0 1/4 -2 0 0 1", "5 -4 3 1 5 1/5 0 -8 0 0 4");
test_submul("1 1/2 0 2", "2 3 1/1 4", "3 1 0 1/4 -2 0 0 1", "5 -4 -3 -1 -1 -1/5 0 -8 0 0 4");
/* Scalar multiplication and devision ************************************/
flint_mpz_init_set_si(mpzzero, 0);
flint_mpz_init_set_si(mpzone, 1);
flint_mpz_init_set_si(mpztwo, 2);
mpq_init(mpqzero); flint_mpq_set_si(mpqzero, 0, 1);
mpq_init(mpqone); flint_mpq_set_si(mpqone, 1, 1);
mpq_init(mpqtwo); flint_mpq_set_si(mpqtwo, 2, 1);
mpq_init(mpqtwoinv); flint_mpq_set_si(mpqtwoinv, 1, 2);
test_scalar_mul_si("0", 1, "0");
test_scalar_mul_si("0", 0, "0");
test_scalar_mul_si("1 2", 0, "0");
test_scalar_mul_si("1 1/1 2", -2, "1 -1");
test_scalar_mul_si("2 1 1/2 -2 3", 5, "2 5 5/2 -2 3");
test_scalar_mul_si("2 1 1/2 -2 2", 3, "2 3 3/2 -2 2");
test_scalar_mul_mpz("0", mpzone, "0");
test_scalar_mul_mpz("0", mpzzero, "0");
test_scalar_mul_mpz("1 2", mpzzero, "0");
test_scalar_mul_mpz("1 1/1 2", mpztwo, "1 1");
test_scalar_mul_mpq("0", mpqone, "0");
test_scalar_mul_mpq("0", mpqzero, "0");
test_scalar_mul_mpq("1 2", mpqzero, "0");
test_scalar_mul_mpq("1 1/1 2", mpqtwo, "1 1");
test_scalar_mul_mpq("1 -2/1 1", mpqtwoinv, "1 -1");
test_scalar_div_si("0", 1, "0");
test_scalar_div_si("1 2", 2, "1 1");
test_scalar_div_si("1 1/1 2", -2, "1 -1/1 4");
test_scalar_div_si("3 -5 0 3/2 1 1", 2, "3 -5 0 3/2 2 2");
test_scalar_div_si("3 2 8 4/2 0 1", 3, "3 2 8 4/2 0 3");
test_scalar_div_si("3 2 8 4/2 0 1", -3, "3 -2 -8 -4/2 0 3");
test_scalar_div_si("3 -27 0 9/2 0 1", -3, "3 9 0 -3/2 0 1");
test_scalar_div_mpz("0", mpzone, "0");
test_scalar_div_mpz("1 2", mpztwo, "1 1");
test_scalar_div_mpz("1 1/1 2", mpztwo, "1 1/1 4");
test_scalar_div_mpq("0", mpqone, "0");
test_scalar_div_mpq("1 2", mpqone, "1 2");
test_scalar_div_mpq("1 1/1 2", mpqtwo, "1 1/1 4");
test_scalar_div_mpq("1 -2/1 1", mpqtwoinv, "1 -4");
mpz_clear(mpzzero);
mpz_clear(mpzone);
mpz_clear(mpztwo);
mpq_clear(mpqzero);
mpq_clear(mpqone);
mpq_clear(mpqtwo);
mpq_clear(mpqtwoinv);
/* Multiplication, division and powing *********************************/
test_mul("3 1 0 1/2 0 1", "2 0 -1/3 1 0 1", "1 -1");
test_mul("3 -1 0 1/2 1 1", "1 2/2 -1 1", "1 2");
test_mul("0/2 1 1", "1 2/1 1", "0");
test_mul("1 -3/1 4", "0/3 1 0 1", "0");
test_mul("2 1 1/1 1", "2 -1 1/1 1", "3 -1 0 1");
test_mul("2 1 1/2 0 1", "2 2 1/2 -1 1", "3 2 3 1/3 0 -1 1");
test_mul("2 -1 1/2 2 1", "3 4 4 1/2 1 1", "3 -2 1 1/2 1 1");
test_mul_in_place1("3 1 0 1/2 0 1", "2 0 -1/3 1 0 1", "1 -1");
test_mul_in_place1("3 -1 0 1/2 1 1", "1 2/2 -1 1", "1 2");
test_mul_in_place1("0/2 1 1", "1 2/1 1", "0");
test_mul_in_place1("1 -3/1 4", "0/3 1 0 1", "0");
test_mul_in_place1("2 1 1/1 1", "2 -1 1/1 1", "3 -1 0 1");
test_mul_in_place1("2 1 1/2 0 1", "2 2 1/2 -1 1", "3 2 3 1/3 0 -1 1");
test_mul_in_place1("2 -1 1/2 2 1", "3 4 4 1/2 1 1", "3 -2 1 1/2 1 1");
test_mul_in_place2("3 1 0 1/2 0 1", "2 0 -1/3 1 0 1", "1 -1");
test_mul_in_place2("3 -1 0 1/2 1 1", "1 2/2 -1 1", "1 2");
test_mul_in_place2("0/2 1 1", "1 2/1 1", "0");
test_mul_in_place2("1 -3/1 4", "0/3 1 0 1", "0");
test_mul_in_place2("2 1 1/1 1", "2 -1 1/1 1", "3 -1 0 1");
test_mul_in_place2("2 1 1/2 0 1", "2 2 1/2 -1 1", "3 2 3 1/3 0 -1 1");
test_mul_in_place2("2 -1 1/2 2 1", "3 4 4 1/2 1 1", "3 -2 1 1/2 1 1");
test_mul_in_place3("2 0 1/2 1 1", "3 0 0 1/3 1 2 1");
test_div("3 -1 0 1/1 2", "2 1 1/1 1", "2 -1 1/1 2");
test_div("0/2 1 1", "2 1 1/1 1", "0");
test_div("3 -1 0 1/1 4", "2 -1 -1/1 2", "2 1 -1/1 2");
test_div("2 1 1", "2 1 -1/2 1 -1", "2 1 1");
test_div("2 1 1/3 4 4 1", "2 -1 1/3 6 5 1", "3 3 4 1/3 -2 1 1");
test_div_in_place1("3 -1 0 1/1 2", "2 1 1/1 1", "2 -1 1/1 2");
test_div_in_place1("0/2 1 1", "2 1 1/1 1", "0");
test_div_in_place1("3 -1 0 1/1 4", "2 -1 -1/1 2", "2 1 -1/1 2");
test_div_in_place1("2 1 1", "2 1 -1/2 1 -1", "2 1 1");
test_div_in_place1("2 1 1/3 4 4 1", "2 -1 1/3 6 5 1", "3 3 4 1/3 -2 1 1");
test_div_in_place1("0", "1 2/2 3 5", "0");
test_div_in_place2("3 -1 0 1/1 2", "2 1 1/1 1", "2 -1 1/1 2");
test_div_in_place2("0/2 1 1", "2 1 1/1 1", "0");
test_div_in_place2("3 -1 0 1/1 4", "2 -1 -1/1 2", "2 1 -1/1 2");
test_div_in_place2("2 1 1", "2 1 -1/2 1 -1", "2 1 1");
test_div_in_place2("2 1 1/3 4 4 1", "2 -1 1/3 6 5 1", "3 3 4 1/3 -2 1 1");
test_div_in_place3("3 -1 0 1/1 2", "1 1");
test_pow("2 0 -1/1 2", 3, "4 0 0 0 -1/1 8");
test_pow("0", 0, "1 1");
test_pow("2 1 -1", 0, "1 1");
test_pow("2 1 1/2 0 1", 0, "1 1");
/* Derivative ************************************************************/
test_derivative("0", "0");
test_derivative("1 2", "0");
test_derivative("1 -1/1 2", "0");
test_derivative("2 0 1", "1 1");
test_derivative("3 1 0 1", "2 0 2");
test_derivative("1 1/2 0 1", "1 -1/3 0 0 1");
test_derivative("2 2 1/2 -1 1", "1 -3/3 1 -2 1");
test_derivative("2 0 1/3 1 2 1", "2 1 -1/4 1 3 3 1");
/* Bug which allowed constant factors */
test_derivative("3 5 1 -2/2 10 2", "3 0 -10 -1/3 25 10 1");
/* Evaluation ************************************************************/
test_evaluate("1 1/1 2", -2, 3, "1/2");
test_evaluate("3 1 0 1/2 0 1", -1, 2, "-5/2");
test_evaluate("2 3 1/2 -1 1", 1, 1, "P");
test_evaluate("2 3 1/2 -1 1", 2, 3, "-11");
test_evaluate("2 3 1/2 -1 2", 1, 2, "P");
test_evaluate("2 1 1/2 -1 1", 2, 1, "3");
/* String methods ********************************************************/
fmpz_poly_q_init(qpoly1);
ans = fmpz_poly_q_set_str(qpoly1, "1 3/xyz");
if ((ans == 0) || !fmpz_poly_q_is_zero(qpoly1))
{
flint_printf("test_set_str: failed\n");
abort();
}
fmpz_poly_q_clear(qpoly1);
fmpz_poly_q_init(qpoly1);
ans = fmpz_poly_q_set_str(qpoly1, "abc/1 3");
if ((ans == 0) || !fmpz_poly_q_is_zero(qpoly1))
{
flint_printf("test_set_str: failed\n");
abort();
}
fmpz_poly_q_clear(qpoly1);
fmpz_poly_q_init(qpoly1);
ans = fmpz_poly_q_set_str(qpoly1, "abc/xyz");
if ((ans == 0) || !fmpz_poly_q_is_zero(qpoly1))
{
flint_printf("test_set_str: failed\n");
abort();
}
fmpz_poly_q_clear(qpoly1);
test_get_str_pretty("1 -3", "-3");
test_get_str_pretty("3 1 2 1", "t^2+2*t+1");
test_get_str_pretty("1 -2/2 1 1", "-2/(t+1)");
test_get_str_pretty("2 1 1/2 -1 1", "(t+1)/(t-1)");
test_get_str_pretty("2 1 1/1 2", "(t+1)/2");
test_get_str_pretty("1 1/1 2", "1/2");
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
int main ( int argc, char * argv[] )
{
test_inv();
return 0;
}