void poly_f::normalize()
{
uint i=this->rep.size();
while(i>0&&mpf_cmp_ui(this->rep[i-1],0)==0)i--;
this->resize(i);
return ;
}
void
check_various (void)
{
mpf_t got;
mpq_t q;
mpf_init (got);
mpq_init (q);
/* 1/1 == 1 */
mpf_set_prec (got, 20L);
mpq_set_ui (q, 1L, 1L);
mpf_set_q (got, q);
MPF_CHECK_FORMAT (got);
ASSERT_ALWAYS (mpf_cmp_ui (got, 1L) == 0);
/* 1/(2^n+1), a case where truncating the divisor would be wrong */
mpf_set_prec (got, 500L);
mpq_set_ui (q, 1L, 1L);
mpz_mul_2exp (mpq_denref(q), mpq_denref(q), 800L);
mpz_add_ui (mpq_denref(q), mpq_denref(q), 1L);
check_one (got, q);
mpf_clear (got);
mpq_clear (q);
}
void
check_various (void)
{
mpf_t got, u, v;
mpf_init (got);
mpf_init (u);
mpf_init (v);
/* 100/4 == 25 */
mpf_set_prec (got, 20L);
mpf_set_ui (u, 100L);
mpf_set_ui (v, 4L);
mpf_div (got, u, v);
MPF_CHECK_FORMAT (got);
ASSERT_ALWAYS (mpf_cmp_ui (got, 25L) == 0);
/* 1/(2^n+1), a case where truncating the divisor would be wrong */
mpf_set_prec (got, 500L);
mpf_set_prec (v, 900L);
mpf_set_ui (v, 1L);
mpf_mul_2exp (v, v, 800L);
mpf_add_ui (v, v, 1L);
mpf_div (got, u, v);
check_one ("1/2^n+1, separate", got, u, v);
mpf_clear (got);
mpf_clear (u);
mpf_clear (v);
}
void DoUniaryOperation(number_t result, number_t number1, char *op)
{
switch( op[0] )
{
case '!':
mpf_set_si(result, mpf_cmp_ui(number1, 0));
break;
case '~':
DO_INTEGER_OPERATION1_ON_FLOAT(mpz_com, result, number1);
break;
case '+':
if (op[1] == '+') {
mpf_add_ui(result, number1, 1);
} else {
mpf_set(result, number1);
}
break;
case '-':
if (op[1] == '-') {
mpf_sub_ui(result, number1, 1);
} else {
mpf_sub(result, result, number1);
}
break;
}
}
void FractalTexture::computeColor(unsigned char *pixel) {
#ifdef ROE_FRACTAL_GMP_USE_C
mpf_set(xPos, m_xPos);
mpf_set(yPos, m_yPos);
#else
xPos = m_xPos;
yPos = m_yPos;
#endif
for(long iteration = 0; iteration < m_iMaxIterations; ++iteration) {
#ifdef ROE_FRACTAL_GMP_USE_C
mpf_mul(xPos2, xPos, xPos);
mpf_mul(yPos2, yPos, yPos);
mpf_add(tmp, xPos2, yPos2); //save sum temporarily
if(mpf_cmp_ui(tmp,4) >= 0) {
#else
xPos2 = xPos*xPos;
yPos2 = yPos*yPos;
if(xPos2 + yPos2 > 4.0) {
#endif
//(coloured) outer
const double ratio = iteration*m_dInvMaxIterations;
//const Color c = Color::WHITE;
const Color c = colorInterpolation.interpolate(ratio);
pixel[0] = c.byter();
pixel[1] = c.byteg();
pixel[2] = c.byteb();
return;
}
#ifdef ROE_FRACTAL_GMP_USE_C
mpf_mul(yPos, yPos, xPos);
mpf_mul_ui(yPos, yPos, 2);
mpf_add(yPos, yPos, m_yPos);
mpf_sub(xPos, xPos2, yPos2);
mpf_add(xPos, xPos, m_xPos);
#else
yPos *= xPos;
yPos *= 2;
yPos += m_yPos;
xPos = xPos2;
xPos -= yPos2;
xPos += m_xPos;
#endif
}
//inner
pixel[0] = m_innerR;
pixel[1] = m_innerG;
pixel[2] = m_innerB;
}
void FractalTexture::updateMipmaps() {
S_Texture *subtex1 = &texture, *subtex2 = nullptr;
while (subtex1->next_mipmap) {
subtex2 = subtex1->next_mipmap;
Texture::scaleImage2(subtex1->data, subtex1->width, subtex1->height, subtex2->data, subtex2->width, subtex2->height, subtex1->bpp); //scaling image to new size
subtex1 = subtex2; //one level deeper
}
}
static int
lso_is_real(struct ls_object *number)
{
int r = 1;
if (!lso_is_number(number))
r = 0;
if (lso_is_complex(number)) {
if (lso_number_type_im(number) == 3 && /* inexact */
mpf_cmp_ui(*(mpf_t *)number->u2.ptr, 0) == 0)
r = 1;
else
r = 0;
}
return r;
}
void
mpf_reldiff (mpf_t rdiff, mpf_srcptr x, mpf_srcptr y)
{
if (mpf_cmp_ui (x, 0) == 0)
{
mpf_set_ui (rdiff, (unsigned long int) (mpf_sgn (y) != 0));
}
else
{
mpf_t d;
mp_limb_t tmp_limb[2];
d->_mp_prec = 1;
d->_mp_d = tmp_limb;
mpf_sub (d, x, y);
mpf_abs (d, d);
mpf_div (rdiff, d, x);
}
}
/* Exercise calls mpf(x,x,x) */
void
check_reuse_three (void)
{
unsigned long min_prec = __GMPF_BITS_TO_PREC (1);
gmp_randstate_ptr rands = RANDS;
unsigned long result_prec, input_prec, set_prec;
mpf_t got;
int i;
mpf_init (got);
for (i = 0; i < 8; i++)
{
result_prec = min_prec + gmp_urandomm_ui (rands, 15L);
input_prec = min_prec + gmp_urandomm_ui (rands, 15L);
set_prec = MAX (result_prec, input_prec);
refmpf_set_prec_limbs (got, set_prec);
/* input, non-zero, possibly negative */
PREC(got) = input_prec;
do {
mpf_random2 (got, input_prec, (mp_exp_t) 20);
} while (SIZ(got) == 0);
if (gmp_urandomb_ui (rands, 1L))
mpf_neg (got, got);
PREC(got) = result_prec;
mpf_div (got, got, got);
/* expect exactly 1.0 always */
ASSERT_ALWAYS (mpf_cmp_ui (got, 1L) == 0);
PREC(got) = set_prec;
}
mpf_clear (got);
}
static void
special_test (void)
{
int inex;
mpf_t x;
mpfr_t y;
mpfr_init (y);
mpf_init (x);
mpfr_set_nan (y);
mpfr_clear_flags ();
mpfr_get_f (x, y, MPFR_RNDN);
if (! mpfr_erangeflag_p ())
{
printf ("Error: mpfr_get_f(NaN) should raise erange flag\n");
exit (1);
}
mpfr_set_inf (y, +1);
mpfr_clear_flags ();
inex = mpfr_get_f (x, y, MPFR_RNDN);
if (inex >= 0)
{
printf ("Error: mpfr_get_f(+Inf) should return a negative ternary"
"value\n");
exit (1);
}
if (! mpfr_erangeflag_p ())
{
printf ("Error: mpfr_get_f(+Inf) should raise erange flag\n");
exit (1);
}
mpfr_set_inf (y, -1);
mpfr_clear_flags ();
inex = mpfr_get_f (x, y, MPFR_RNDN);
if (inex <= 0)
{
printf ("Error: mpfr_get_f(-Inf) should return a positive ternary"
"value\n");
exit (1);
}
if (! mpfr_erangeflag_p ())
{
printf ("Error: mpfr_get_f(-Inf) should raise erange flag\n");
exit (1);
}
mpfr_set_ui (y, 0, MPFR_RNDN);
if (mpfr_get_f (x, y, MPFR_RNDN) != 0 || mpf_cmp_ui (x, 0))
{
printf ("Error: mpfr_get_f(+0) fails\n");
exit (1);
}
mpfr_set_ui (y, 0, MPFR_RNDN);
mpfr_neg (y, y, MPFR_RNDN);
if (mpfr_get_f (x, y, MPFR_RNDN) != 0 || mpf_cmp_ui (x, 0))
{
printf ("Error: mpfr_get_f(-0) fails\n");
exit (1);
}
mpfr_clear (y);
mpf_clear (x);
}
void
check_n (void)
{
{
int n = -1;
check_one ("blah", "%nblah", &n);
ASSERT_ALWAYS (n == 0);
}
{
int n = -1;
check_one ("hello ", "hello %n", &n);
ASSERT_ALWAYS (n == 6);
}
{
int n = -1;
check_one ("hello world", "hello %n world", &n);
ASSERT_ALWAYS (n == 6);
}
#define CHECK_N(type, string) \
do { \
type x[2]; \
char fmt[128]; \
\
x[0] = ~ (type) 0; \
x[1] = ~ (type) 0; \
sprintf (fmt, "%%d%%%sn%%d", string); \
check_one ("123456", fmt, 123, &x[0], 456); \
\
/* should write whole of x[0] and none of x[1] */ \
ASSERT_ALWAYS (x[0] == 3); \
ASSERT_ALWAYS (x[1] == (type) ~ (type) 0); \
\
} while (0)
CHECK_N (mp_limb_t, "M");
CHECK_N (char, "hh");
CHECK_N (long, "l");
#if HAVE_LONG_LONG
CHECK_N (long long, "L");
#endif
#if HAVE_INTMAX_T
CHECK_N (intmax_t, "j");
#endif
#if HAVE_PTRDIFF_T
CHECK_N (ptrdiff_t, "t");
#endif
CHECK_N (short, "h");
CHECK_N (size_t, "z");
{
mpz_t x[2];
mpz_init_set_si (x[0], -987L);
mpz_init_set_si (x[1], 654L);
check_one ("123456", "%d%Zn%d", 123, x[0], 456);
MPZ_CHECK_FORMAT (x[0]);
MPZ_CHECK_FORMAT (x[1]);
ASSERT_ALWAYS (mpz_cmp_ui (x[0], 3L) == 0);
ASSERT_ALWAYS (mpz_cmp_ui (x[1], 654L) == 0);
mpz_clear (x[0]);
mpz_clear (x[1]);
}
{
mpq_t x[2];
mpq_init (x[0]);
mpq_init (x[1]);
mpq_set_ui (x[0], -987L, 654L);
mpq_set_ui (x[1], 4115L, 226L);
check_one ("123456", "%d%Qn%d", 123, x[0], 456);
MPQ_CHECK_FORMAT (x[0]);
MPQ_CHECK_FORMAT (x[1]);
ASSERT_ALWAYS (mpq_cmp_ui (x[0], 3L, 1L) == 0);
ASSERT_ALWAYS (mpq_cmp_ui (x[1], 4115L, 226L) == 0);
mpq_clear (x[0]);
mpq_clear (x[1]);
}
{
mpf_t x[2];
mpf_init (x[0]);
mpf_init (x[1]);
mpf_set_ui (x[0], -987L);
mpf_set_ui (x[1], 654L);
check_one ("123456", "%d%Fn%d", 123, x[0], 456);
MPF_CHECK_FORMAT (x[0]);
MPF_CHECK_FORMAT (x[1]);
ASSERT_ALWAYS (mpf_cmp_ui (x[0], 3L) == 0);
ASSERT_ALWAYS (mpf_cmp_ui (x[1], 654L) == 0);
mpf_clear (x[0]);
mpf_clear (x[1]);
}
{
mp_limb_t a[5];
mp_limb_t a_want[numberof(a)];
mp_size_t i;
a[0] = 123;
check_one ("blah", "bl%Nnah", a, (mp_size_t) 0);
ASSERT_ALWAYS (a[0] == 123);
MPN_ZERO (a_want, numberof (a_want));
for (i = 1; i < numberof (a); i++)
{
check_one ("blah", "bl%Nnah", a, i);
a_want[0] = 2;
ASSERT_ALWAYS (mpn_cmp (a, a_want, i) == 0);
}
}
}
bool mpfc_iszero(mpfc_ptr x)
{
return (mpf_cmp_ui(x->Im,0)==0)&&(mpf_cmp_ui(x->Re,0)==0);
}
int sg_big_float_cmp_zero(sg_big_float_t* a)
{
return mpf_cmp_ui(a->mpf, 0);
}
void
check_rand (void)
{
unsigned long max_prec = 15;
unsigned long min_prec = __GMPF_BITS_TO_PREC (1);
gmp_randstate_ptr rands = RANDS;
unsigned long x, prec;
mpf_t r, s;
int i;
mpf_init (r);
mpf_init (s);
refmpf_set_prec_limbs (s, 2*max_prec+10);
for (i = 0; i < 50; i++)
{
/* input, a random non-zero ulong, exponentially distributed */
do {
x = gmp_urandomb_ui (rands,
gmp_urandomm_ui (rands, BITS_PER_ULONG) + 1);
} while (x == 0);
/* result precision */
prec = gmp_urandomm_ui (rands, max_prec-min_prec) + min_prec;
refmpf_set_prec_limbs (r, prec);
mpf_sqrt_ui (r, x);
MPF_CHECK_FORMAT (r);
/* Expect to prec limbs of result.
In the current implementation there's no stripping of low zero
limbs in mpf_sqrt_ui, not even on perfect squares, so size should
be exactly prec. */
if (SIZ(r) != prec)
{
printf ("mpf_sqrt_ui result not enough result limbs\n");
printf (" x=%lu\n", x);
printf (" want prec=%lu\n", prec);
mpf_trace (" r", r);
printf (" r size %ld\n", (long) SIZ(r));
printf (" r prec %ld\n", (long) PREC(r));
abort ();
}
/* Must have r^2 <= x, since r has been truncated. */
mpf_mul (s, r, r);
if (! (mpf_cmp_ui (s, x) <= 0))
{
printf ("mpf_sqrt_ui result too big\n");
printf (" x=%lu\n", x);
printf (" want prec=%lu\n", prec);
mpf_trace (" r", r);
mpf_trace (" s", s);
abort ();
}
/* Must have (r+ulp)^2 > x.
No overflow from refmpf_add_ulp since r is only prec limbs. */
refmpf_add_ulp (r);
mpf_mul (s, r, r);
if (! (mpf_cmp_ui (s, x) > 0))
{
printf ("mpf_sqrt_ui result too small\n");
printf (" x=%lu\n", x);
printf (" want prec=%lu\n", prec);
mpf_trace (" r+ulp", r);
mpf_trace (" s", s);
abort ();
}
}
mpf_clear (r);
mpf_clear (s);
}
static void
check_mixed (FILE *fout)
{
int ch = 'a';
signed char sch = -1;
unsigned char uch = 1;
short sh = -1;
unsigned short ush = 1;
int i = -1;
int j = 1;
unsigned int ui = 1;
long lo = -1;
unsigned long ulo = 1;
float f = -1.25;
double d = -1.25;
long double ld = -1.25;
ptrdiff_t p = 1;
size_t sz = 1;
mpz_t mpz;
mpq_t mpq;
mpf_t mpf;
mp_rnd_t rnd = GMP_RNDN;
mp_size_t limb_size = 3;
mp_limb_t limb[3];
mpfr_t mpfr;
mpfr_prec_t prec = 53;
mpz_init (mpz);
mpz_set_ui (mpz, ulo);
mpq_init (mpq);
mpq_set_si (mpq, lo, ulo);
mpf_init (mpf);
mpf_set_q (mpf, mpq);
mpfr_init2 (mpfr, prec);
mpfr_set_f (mpfr, mpf, GMP_RNDN);
limb[0] = limb[1] = limb[2] = ~ (mp_limb_t) 0;
check_vfprintf (fout, "a. %Ra, b. %u, c. %lx%n", mpfr, ui, ulo, &j);
check_length (1, j, 22, d);
check_vfprintf (fout, "a. %c, b. %Rb, c. %u, d. %li%ln", i, mpfr, i,
lo, &ulo);
check_length (2, ulo, 36, lu);
check_vfprintf (fout, "a. %hi, b. %*f, c. %Re%hn", ush, 3, f, mpfr, &ush);
check_length (3, ush, 29, hu);
check_vfprintf (fout, "a. %hi, b. %f, c. %#.2Rf%n", sh, d, mpfr, &i);
check_length (4, i, 29, d);
check_vfprintf (fout, "a. %R*A, b. %Fe, c. %i%zn", rnd, mpfr, mpf, sz,
&sz);
check_length (5, (unsigned long) sz, 34, lu); /* no format specifier "%zu" in C89 */
check_vfprintf (fout, "a. %Pu, b. %c, c. %Zi%Zn", prec, ch, mpz, &mpz);
check_length_with_cmp (6, mpz, 17, mpz_cmp_ui (mpz, 17), Zi);
check_vfprintf (fout, "%% a. %#.0RNg, b. %Qx%Rn, c. %p", mpfr, mpq, &mpfr,
(void *) &i);
check_length_with_cmp (7, mpfr, 15, mpfr_cmp_ui (mpfr, 15), Rg);
#ifndef NPRINTF_T
check_vfprintf (fout, "%% a. %RNg, b. %Qx, c. %td%tn", mpfr, mpq, p, &p);
check_length (8, (long) p, 20, ld); /* no format specifier "%td" in C89 */
#endif
#ifndef NPRINTF_L
check_vfprintf (fout, "a. %RA, b. %Lf, c. %QX%zn", mpfr, ld, mpq, &sz);
check_length (9, (unsigned long) sz, 30, lu); /* no format specifier "%zu" in C89 */
#endif
#ifndef NPRINTF_HH
check_vfprintf (fout, "a. %hhi, b.%RA, c. %hhu%hhn", sch, mpfr, uch, &uch);
check_length (10, (unsigned int) uch, 21, u); /* no format specifier "%hhu" in C89 */
#endif
#if (__GNU_MP_VERSION * 10 + __GNU_MP_VERSION_MINOR) >= 42
/* The 'M' specifier was added in gmp 4.2.0 */
check_vfprintf (fout, "a. %Mx b. %Re%Mn", limb[0], mpfr, &limb[0]);
if (limb[0] != 14 + BITS_PER_MP_LIMB / 4 || limb[1] != ~ (mp_limb_t) 0
|| limb[2] != ~ (mp_limb_t) 0)
{
printf ("Error in test #11: mpfr_vfprintf did not print %d characters"
" as expected\n", 14 + (int) BITS_PER_MP_LIMB / 4);
exit (1);
}
limb[0] = ~ (mp_limb_t) 0;
/* we tell vfprintf that limb array is 2 cells wide
and check it doesn't go through */
check_vfprintf (fout, "a. %Re .b %Nx%Nn", mpfr, limb, limb_size, limb,
limb_size - 1);
if (limb[0] != 14 + 3 * BITS_PER_MP_LIMB / 4 || limb[1] != (mp_limb_t) 0
|| limb[2] != ~ (mp_limb_t) 0)
{
printf ("Error in test #12: mpfr_vfprintf did not print %d characters"
" as expected\n", 14 + (int) BITS_PER_MP_LIMB / 4);
exit (1);
}
#endif
#if defined(HAVE_LONG_LONG) && !defined(NPRINTF_LL)
{
long long llo = -1;
unsigned long long ullo = 1;
check_vfprintf (fout, "a. %Re, b. %llx%Qn", mpfr, ullo, &mpq);
check_length_with_cmp (21, mpq, 16, mpq_cmp_ui (mpq, 16, 1), Qu);
check_vfprintf (fout, "a. %lli, b. %Rf%Fn", llo, mpfr, &mpf);
check_length_with_cmp (22, mpf, 19, mpf_cmp_ui (mpf, 19), Fg);
}
#endif
#if defined(_MPFR_H_HAVE_INTMAX_T) && !defined(NPRINTF_J)
{
intmax_t im = -1;
uintmax_t uim = 1;
check_vfprintf (fout, "a. %*RA, b. %ji%Qn", 10, mpfr, im, &mpq);
check_length_with_cmp (31, mpq, 20, mpq_cmp_ui (mpq, 20, 1), Qu);
check_vfprintf (fout, "a. %.*Re, b. %jx%Fn", 10, mpfr, uim, &mpf);
check_length_with_cmp (32, mpf, 25, mpf_cmp_ui (mpf, 25), Fg);
}
#endif
mpfr_clear (mpfr);
mpf_clear (mpf);
mpq_clear (mpq);
mpz_clear (mpz);
}
static void
check_mixed (void)
{
int ch = 'a';
#ifndef NPRINTF_HH
signed char sch = -1;
unsigned char uch = 1;
#endif
short sh = -1;
unsigned short ush = 1;
int i = -1;
int j = 1;
unsigned int ui = 1;
long lo = -1;
unsigned long ulo = 1;
float f = -1.25;
double d = -1.25;
#if !defined(NPRINTF_T) || !defined(NPRINTF_L)
long double ld = -1.25;
#endif
#ifndef NPRINTF_T
ptrdiff_t p = 1, saved_p;
#endif
size_t sz = 1;
mpz_t mpz;
mpq_t mpq;
mpf_t mpf;
mpfr_rnd_t rnd = MPFR_RNDN;
mpfr_t mpfr;
mpfr_prec_t prec;
mpz_init (mpz);
mpz_set_ui (mpz, ulo);
mpq_init (mpq);
mpq_set_si (mpq, lo, ulo);
mpf_init (mpf);
mpf_set_q (mpf, mpq);
mpfr_init (mpfr);
mpfr_set_f (mpfr, mpf, MPFR_RNDN);
prec = mpfr_get_prec (mpfr);
check_vprintf ("a. %Ra, b. %u, c. %lx%n", mpfr, ui, ulo, &j);
check_length (1, j, 22, d);
check_vprintf ("a. %c, b. %Rb, c. %u, d. %li%ln", i, mpfr, i, lo, &ulo);
check_length (2, ulo, 36, lu);
check_vprintf ("a. %hi, b. %*f, c. %Re%hn", ush, 3, f, mpfr, &ush);
check_length (3, ush, 29, hu);
check_vprintf ("a. %hi, b. %f, c. %#.2Rf%n", sh, d, mpfr, &i);
check_length (4, i, 29, d);
check_vprintf ("a. %R*A, b. %Fe, c. %i%zn", rnd, mpfr, mpf, sz, &sz);
check_length (5, (unsigned long) sz, 34, lu); /* no format specifier '%zu' in C89 */
check_vprintf ("a. %Pu, b. %c, c. %RUG, d. %Zi%Zn", prec, ch, mpfr, mpz, &mpz);
check_length_with_cmp (6, mpz, 24, mpz_cmp_ui (mpz, 24), Zi);
check_vprintf ("%% a. %#.0RNg, b. %Qx%Rn c. %p",
mpfr, mpq, &mpfr, (void *) &i);
check_length_with_cmp (7, mpfr, 15, mpfr_cmp_ui (mpfr, 15), Rg);
#ifndef NPRINTF_T
saved_p = p;
check_vprintf ("%% a. %RNg, b. %Qx, c. %td%tn", mpfr, mpq, p, &p);
if (p != 20)
mpfr_fprintf (stderr, "Error in test 8, got '%% a. %RNg, b. %Qx, c. %td'\n", mpfr, mpq, saved_p);
check_length (8, (long) p, 20, ld); /* no format specifier '%td' in C89 */
#endif
#ifndef NPRINTF_L
check_vprintf ("a. %RA, b. %Lf, c. %QX%zn", mpfr, ld, mpq, &sz);
check_length (9, (unsigned long) sz, 30, lu); /* no format specifier '%zu' in C89 */
#endif
#ifndef NPRINTF_HH
check_vprintf ("a. %hhi, b. %Ra, c. %hhu%hhn", sch, mpfr, uch, &uch);
check_length (10, (unsigned int) uch, 22, u); /* no format specifier '%hhu' in C89 */
#endif
#if defined(HAVE_LONG_LONG) && !defined(NPRINTF_LL)
{
long long llo = -1;
unsigned long long ullo = 1;
check_vprintf ("a. %Re, b. %llx%Qn", mpfr, ullo, &mpq);
check_length_with_cmp (11, mpq, 16, mpq_cmp_ui (mpq, 16, 1), Qu);
check_vprintf ("a. %lli, b. %Rf%lln", llo, mpfr, &ullo);
check_length (12, ullo, 19, llu);
}
#endif
#if defined(_MPFR_H_HAVE_INTMAX_T) && !defined(NPRINTF_J)
{
intmax_t im = -1;
uintmax_t uim = 1;
check_vprintf ("a. %*RA, b. %ji%Fn", 10, mpfr, im, &mpf);
check_length_with_cmp (31, mpf, 20, mpf_cmp_ui (mpf, 20), Fg);
check_vprintf ("a. %.*Re, b. %jx%jn", 10, mpfr, uim, &im);
check_length (32, (long) im, 25, li); /* no format specifier "%ji" in C89 */
}
#endif
mpfr_clear (mpfr);
mpf_clear (mpf);
mpq_clear (mpq);
mpz_clear (mpz);
}
void renderImage(screenTiles *tile, uint32_t threadNum) {
printf("Rendere: %ix%ix%ix%i\n",tile->fromX,tile->toX,tile->fromY,tile->toY);
mpf_t tmpDiff;
mpf_t tmp;
mpf_t re_factor;
mpf_t im_factor;
mpf_t c_im;
mpf_t c_re;
mpf_t z_re;
mpf_t z_im;
mpf_t z_re2;
mpf_t z_im2;
mpf_init2(tmpDiff,gmpBit);
mpf_init2(tmp,gmpBit);
mpf_init2(re_factor,gmpBit);
mpf_init2(im_factor,gmpBit);
mpf_init2(c_im,gmpBit);
mpf_init2(c_re,gmpBit);
mpf_init2(z_im,gmpBit);
mpf_init2(z_re,gmpBit);
mpf_init2(z_im2,gmpBit);
mpf_init2(z_re2,gmpBit);
mpf_sub(tmpDiff,mandelRange.maxRe,mandelRange.minRe);
long double sX = sizeX;
long double sY = sizeY;
mpf_set_d(tmp, sY/sX);
// maxIm = minIm + (maxRe - minRe) * sizeY / sizeX;
mpf_mul(tmp,tmpDiff,tmp);
mpf_add(mandelRange.maxIm,mandelRange.minIm,tmp);
// re_factor = (maxRe - minRe) / (sizeX - 1);
mpf_set_d(tmp, sX-1.0);
mpf_div(re_factor, tmpDiff, tmp);
// im_factor = (maxIm - minIm) / (sizeY - 1);
mpf_sub(tmpDiff,mandelRange.maxIm,mandelRange.minIm);
mpf_set_d(tmp, sY-1.0);
mpf_div(im_factor,tmpDiff, tmp);
for (int32_t y = tile->fromY; y < tile->toY; ++y) {
//c_im = maxIm - y * im_factor;
mpf_mul_ui(tmpDiff, im_factor, y);
mpf_sub(c_im,mandelRange.maxIm,tmpDiff);
for (int32_t x = tile->fromX; x < tile->toX; ++x) {
//c_re = minRe + x * re_factor;
mpf_mul_ui(tmpDiff, re_factor, x);
mpf_add(c_re,mandelRange.minRe,tmpDiff);
mpf_set(z_re,c_re);
mpf_set(z_im,c_im);
int32_t isInside = 1;
for (uint32_t n = 0; n < maxIterations; ++n) {
//Z_re2 = Z_re * Z_re;
mpf_mul(z_re2,z_re,z_re);
//Z_im2 = Z_im * Z_im;
mpf_mul(z_im2,z_im,z_im);
//Z_re2 + Z_im2 > 4
mpf_add(tmp, z_re2, z_im2);
if (mpf_cmp_ui(tmp,4) > 0) {
isInside = 0;
uint8_t red = 0;
uint8_t green = 0;
uint8_t blue = 0;
//#############################################################
if (n <= maxIterations / 2 - 1) {
//blackToRed
float full = (maxIterations / 2 - 1);
float f = (((n * 100) / full) / 100)*255;
red = f;
green = 0;
blue = 0;
} else if (n >= maxIterations / 2 && n <= maxIterations - 1) {
//redToWhite
float full = maxIterations - 1;
float f = (((n * 100) / full) / 100)*255;
red = 255;
green = f;
blue = f;
}
savePixel(threadNum, x, y, red, green, blue);
//#############################################################
break;
}
//Z_im = 2 * Z_re * Z_im + c_im;
mpf_mul_ui(tmp, z_re, 2);
mpf_mul(tmp,tmp,z_im);
mpf_add(z_im,tmp,c_im);
//Z_re = Z_re2 - Z_im2 + c_re;
mpf_sub(tmp,z_re2,z_im2);
mpf_add(z_re,tmp,c_re);
// Thread hat den Stop-Befehl bekommen.
if(threadStop == 1) {
return;
}
}
if (isInside) {
savePixel(threadNum, x, y, 0, 0, 0);
}
}
}
mpf_clear(c_im);
mpf_clear(c_re);
mpf_clear(z_im);
mpf_clear(z_re);
mpf_clear(z_im2);
mpf_clear(z_re2);
mpf_clear(re_factor);
mpf_clear(im_factor);
mpf_clear(tmpDiff);
mpf_clear(tmp);
printf("Fertig mit: %ix%ix%ix%i\n",tile->fromX,tile->toX,tile->fromY,tile->toY);
}
int
main (int argc, char *argv[])
{
const char usage[] = "usage: findlc [-dv] m2exp [low_merit [high_merit]]\n";
int f;
int v_lose, m_lose, v_best, m_best;
int c;
int debug = 1;
int cnt_high_merit;
mpz_t m;
unsigned long int m2exp;
#define DIMS 6 /* dimensions run in spectral test */
mpf_t v[DIMS-1]; /* spectral test result (there's no v
for 1st dimension */
mpf_t f_merit, low_merit, high_merit;
mpz_t acc, minus8;
mpz_t min, max;
mpz_t s;
mpz_init (m);
mpz_init (a);
for (f = 0; f < DIMS-1; f++)
mpf_init (v[f]);
mpf_init (f_merit);
mpf_init_set_d (low_merit, .1);
mpf_init_set_d (high_merit, .1);
while ((c = getopt (argc, argv, "a:di:hv")) != -1)
switch (c)
{
case 'd': /* debug */
g_debug++;
break;
case 'v': /* print version */
puts (rcsid[1]);
exit (0);
case 'h':
case '?':
default:
fputs (usage, stderr);
exit (1);
}
argc -= optind;
argv += optind;
if (argc < 1)
{
fputs (usage, stderr);
exit (1);
}
/* Install signal handler. */
if (SIG_ERR == signal (SIGSEGV, sh_status))
{
perror ("signal (SIGSEGV)");
exit (1);
}
if (SIG_ERR == signal (SIGHUP, sh_status))
{
perror ("signal (SIGHUP)");
exit (1);
}
printf ("findlc: version: %s\n", rcsid[1]);
m2exp = atol (argv[0]);
mpz_init_set_ui (m, 1);
mpz_mul_2exp (m, m, m2exp);
printf ("m = 0x");
mpz_out_str (stdout, 16, m);
puts ("");
if (argc > 1) /* have low_merit */
mpf_set_str (low_merit, argv[1], 0);
if (argc > 2) /* have high_merit */
mpf_set_str (high_merit, argv[2], 0);
if (debug)
{
fprintf (stderr, "low_merit = ");
mpf_out_str (stderr, 10, 2, low_merit);
fprintf (stderr, "; high_merit = ");
mpf_out_str (stderr, 10, 2, high_merit);
fputs ("\n", stderr);
}
mpz_init (minus8);
mpz_set_si (minus8, -8L);
mpz_init_set_ui (acc, 0);
mpz_init (s);
mpz_init_set_d (min, 0.01 * pow (2.0, (double) m2exp));
mpz_init_set_d (max, 0.99 * pow (2.0, (double) m2exp));
mpz_true_random (s, m2exp); /* Start. */
mpz_setbit (s, 0); /* Make it odd. */
v_best = m_best = 2*(DIMS-1);
for (;;)
{
mpz_add (acc, acc, s);
mpz_mod_2exp (acc, acc, m2exp);
#if later
mpz_and_si (a, acc, -8L);
#else
mpz_and (a, acc, minus8);
#endif
mpz_add_ui (a, a, 5);
if (mpz_cmp (a, min) <= 0 || mpz_cmp (a, max) >= 0)
continue;
spectral_test (v, DIMS, a, m);
for (f = 0, v_lose = m_lose = 0, cnt_high_merit = DIMS-1;
f < DIMS-1; f++)
{
merit (f_merit, f + 2, v[f], m);
if (mpf_cmp_ui (v[f], 1 << (30 / (f + 2) + (f == 2))) < 0)
v_lose++;
if (mpf_cmp (f_merit, low_merit) < 0)
m_lose++;
if (mpf_cmp (f_merit, high_merit) >= 0)
cnt_high_merit--;
}
if (0 == v_lose && 0 == m_lose)
{
mpz_out_str (stdout, 10, a); puts (""); fflush (stdout);
if (0 == cnt_high_merit)
break; /* leave loop */
}
if (v_lose < v_best)
{
v_best = v_lose;
printf ("best (v_lose=%d; m_lose=%d): ", v_lose, m_lose);
mpz_out_str (stdout, 10, a); puts (""); fflush (stdout);
}
if (m_lose < m_best)
{
m_best = m_lose;
printf ("best (v_lose=%d; m_lose=%d): ", v_lose, m_lose);
mpz_out_str (stdout, 10, a); puts (""); fflush (stdout);
}
}
mpz_clear (m);
mpz_clear (a);
for (f = 0; f < DIMS-1; f++)
mpf_clear (v[f]);
mpf_clear (f_merit);
mpf_clear (low_merit);
mpf_clear (high_merit);
printf ("done.\n");
return 0;
}
int
main (int argc, char **argv)
{
int i;
int pass, reps = 10000;
mpf_t in1, in2, out1;
unsigned long int in1i, in2i;
mpf_t res1, res2, res3;
mp_size_t bprec = 100;
tests_start ();
if (argc > 1)
{
reps = strtol (argv[1], 0, 0);
if (argc > 2)
bprec = strtol (argv[2], 0, 0);
}
mpf_set_default_prec (bprec);
mpf_init (in1);
mpf_init (in2);
mpf_init (out1);
mpf_init (res1);
mpf_init (res2);
mpf_init (res3);
for (pass = 1; pass <= reps; pass++)
{
mpf_random2 (in1, urandom () % SIZE - SIZE/2, urandom () % EXPO);
mpf_random2 (in2, urandom () % SIZE - SIZE/2, urandom () % EXPO);
for (i = 0; i < sizeof (dss_funcs) / sizeof (dss_func); i++)
{
/* Don't divide by 0. */
if (i == 0 && mpf_cmp_ui (in2, 0) == 0)
continue;
(dss_funcs[i]) (res1, in1, in2);
mpf_set (out1, in1);
(dss_funcs[i]) (out1, out1, in2);
mpf_set (res2, out1);
mpf_set (out1, in2);
(dss_funcs[i]) (out1, in1, out1);
mpf_set (res3, out1);
if (mpf_cmp (res1, res2) != 0)
dump_abort (dss_func_names[i], res1, res2);
if (mpf_cmp (res1, res3) != 0)
dump_abort (dss_func_names[i], res1, res3);
}
in2i = urandom ();
for (i = 0; i < sizeof (dsi_funcs) / sizeof (dsi_func); i++)
{
/* Don't divide by 0. */
if (strcmp (dsi_func_names[i], "mpf_div_ui") == 0 && in2i == 0)
continue;
(dsi_funcs[i]) (res1, in1, in2i);
mpf_set (out1, in1);
(dsi_funcs[i]) (out1, out1, in2i);
mpf_set (res2, out1);
if (mpf_cmp (res1, res2) != 0)
dump_abort (dsi_func_names[i], res1, res2);
}
in1i = urandom ();
for (i = 0; i < sizeof (dis_funcs) / sizeof (dis_func); i++)
{
/* Don't divide by 0. */
if (strcmp (dis_func_names[i], "mpf_ui_div") == 0
&& mpf_cmp_ui (in2, 0) == 0)
continue;
(dis_funcs[i]) (res1, in1i, in2);
mpf_set (out1, in2);
(dis_funcs[i]) (out1, in1i, out1);
mpf_set (res2, out1);
if (mpf_cmp (res1, res2) != 0)
dump_abort (dis_func_names[i], res1, res2);
}
}
mpf_clear (in1);
mpf_clear (in2);
mpf_clear (out1);
mpf_clear (res1);
mpf_clear (res2);
mpf_clear (res3);
tests_end ();
exit (0);
}
void
check_n (void)
{
int ret;
/* %n suppressed */
{
int n = 123;
gmp_sscanf (" ", " %*n", &n);
ASSERT_ALWAYS (n == 123);
}
{
int n = 123;
fromstring_gmp_fscanf (" ", " %*n", &n);
ASSERT_ALWAYS (n == 123);
}
#define CHECK_N(type, string) \
do { \
type x[2]; \
char fmt[128]; \
int ret; \
\
x[0] = ~ (type) 0; \
x[1] = ~ (type) 0; \
sprintf (fmt, "abc%%%sn", string); \
ret = gmp_sscanf ("abc", fmt, &x[0]); \
\
ASSERT_ALWAYS (ret == 0); \
\
/* should write whole of x[0] and none of x[1] */ \
ASSERT_ALWAYS (x[0] == 3); \
ASSERT_ALWAYS (x[1] == (type) ~ (type) 0); \
\
} while (0)
CHECK_N (char, "hh");
CHECK_N (long, "l");
#if HAVE_LONG_LONG
CHECK_N (long long, "L");
#endif
#if HAVE_INTMAX_T
CHECK_N (intmax_t, "j");
#endif
#if HAVE_PTRDIFF_T
CHECK_N (ptrdiff_t, "t");
#endif
CHECK_N (short, "h");
CHECK_N (size_t, "z");
/* %Zn */
{
mpz_t x[2];
mpz_init_set_si (x[0], -987L);
mpz_init_set_si (x[1], 654L);
ret = gmp_sscanf ("xyz ", "xyz%Zn", x[0]);
MPZ_CHECK_FORMAT (x[0]);
MPZ_CHECK_FORMAT (x[1]);
ASSERT_ALWAYS (ret == 0);
ASSERT_ALWAYS (mpz_cmp_ui (x[0], 3L) == 0);
ASSERT_ALWAYS (mpz_cmp_ui (x[1], 654L) == 0);
mpz_clear (x[0]);
mpz_clear (x[1]);
}
{
mpz_t x;
mpz_init (x);
ret = fromstring_gmp_fscanf ("xyz ", "xyz%Zn", x);
ASSERT_ALWAYS (ret == 0);
ASSERT_ALWAYS (mpz_cmp_ui (x, 3L) == 0);
mpz_clear (x);
}
/* %Qn */
{
mpq_t x[2];
mpq_init (x[0]);
mpq_init (x[1]);
mpq_set_ui (x[0], -987L, 654L);
mpq_set_ui (x[1], 4115L, 226L);
ret = gmp_sscanf ("xyz ", "xyz%Qn", x[0]);
MPQ_CHECK_FORMAT (x[0]);
MPQ_CHECK_FORMAT (x[1]);
ASSERT_ALWAYS (ret == 0);
ASSERT_ALWAYS (mpq_cmp_ui (x[0], 3L, 1L) == 0);
ASSERT_ALWAYS (mpq_cmp_ui (x[1], 4115L, 226L) == 0);
mpq_clear (x[0]);
mpq_clear (x[1]);
}
{
mpq_t x;
mpq_init (x);
ret = fromstring_gmp_fscanf ("xyz ", "xyz%Qn", x);
ASSERT_ALWAYS (ret == 0);
ASSERT_ALWAYS (mpq_cmp_ui (x, 3L, 1L) == 0);
mpq_clear (x);
}
/* %Fn */
{
mpf_t x[2];
mpf_init (x[0]);
mpf_init (x[1]);
mpf_set_ui (x[0], -987L);
mpf_set_ui (x[1], 654L);
ret = gmp_sscanf ("xyz ", "xyz%Fn", x[0]);
MPF_CHECK_FORMAT (x[0]);
MPF_CHECK_FORMAT (x[1]);
ASSERT_ALWAYS (ret == 0);
ASSERT_ALWAYS (mpf_cmp_ui (x[0], 3L) == 0);
ASSERT_ALWAYS (mpf_cmp_ui (x[1], 654L) == 0);
mpf_clear (x[0]);
mpf_clear (x[1]);
}
{
mpf_t x;
mpf_init (x);
ret = fromstring_gmp_fscanf ("xyz ", "xyz%Fn", x);
ASSERT_ALWAYS (ret == 0);
ASSERT_ALWAYS (mpf_cmp_ui (x, 3L) == 0);
mpf_clear (x);
}
}
int
main (void)
{
mpf_t x;
mpfr_t y, z;
unsigned long i;
mpfr_exp_t e;
int inex;
tests_start_mpfr ();
mpfr_init (y);
mpfr_init (z);
mpf_init (x);
i = 1;
while (i)
{
mpfr_set_ui (y, i, MPFR_RNDN);
if (mpfr_get_f (x, y, MPFR_RNDN) != 0 || mpf_cmp_ui (x, i))
{
printf ("Error: mpfr_get_f(%lu) fails\n", i);
exit (1);
}
if (i <= - (unsigned long) LONG_MIN)
{
long j = i < - (unsigned long) LONG_MIN ? - (long) i : LONG_MIN;
mpfr_set_si (y, j, MPFR_RNDN);
if (mpfr_get_f (x, y, MPFR_RNDN) != 0 || mpf_cmp_si (x, j))
{
printf ("Error: mpfr_get_f(-%lu) fails\n", i);
exit (1);
}
}
i *= 2;
}
/* same tests, but with a larger precision for y, which requires to
round it */
mpfr_set_prec (y, 100);
i = 1;
while (i)
{
mpfr_set_ui (y, i, MPFR_RNDN);
inex = mpfr_get_f (x, y, MPFR_RNDN);
if (! SAME_SIGN (inex, - mpfr_cmp_f (y, x)) || mpf_cmp_ui (x, i))
{
printf ("Error: mpfr_get_f(%lu) fails\n", i);
exit (1);
}
mpfr_set_si (y, (signed long) -i, MPFR_RNDN);
inex = mpfr_get_f (x, y, MPFR_RNDN);
if (! SAME_SIGN (inex, - mpfr_cmp_f (y, x))
|| mpf_cmp_si (x, (signed long) -i))
{
printf ("Error: mpfr_get_f(-%lu) fails\n", i);
exit (1);
}
i *= 2;
}
/* bug reported by Jim White */
for (e = 0; e <= 2 * GMP_NUMB_BITS; e++)
{
/* test with 2^(-e) */
mpfr_set_ui (y, 1, MPFR_RNDN);
mpfr_div_2exp (y, y, e, MPFR_RNDN);
inex = mpfr_get_f (x, y, MPFR_RNDN);
mpf_mul_2exp (x, x, e);
if (inex != 0 || mpf_cmp_ui (x, 1) != 0)
{
printf ("Error: mpfr_get_f(x,y,MPFR_RNDN) fails\n");
printf ("y=");
mpfr_dump (y);
printf ("x=");
mpf_div_2exp (x, x, e);
mpf_out_str (stdout, 2, 0, x);
exit (1);
}
/* test with 2^(e) */
mpfr_set_ui (y, 1, MPFR_RNDN);
mpfr_mul_2exp (y, y, e, MPFR_RNDN);
inex = mpfr_get_f (x, y, MPFR_RNDN);
mpf_div_2exp (x, x, e);
if (inex != 0 || mpf_cmp_ui (x, 1) != 0)
{
printf ("Error: mpfr_get_f(x,y,MPFR_RNDN) fails\n");
printf ("y=");
mpfr_dump (y);
printf ("x=");
mpf_mul_2exp (x, x, e);
mpf_out_str (stdout, 2, 0, x);
exit (1);
}
}
/* Bug reported by Yury Lukach on 2006-04-05 */
mpfr_set_prec (y, 32);
mpfr_set_prec (z, 32);
mpf_set_prec (x, 32);
mpfr_set_ui_2exp (y, 0xc1234567, -30, MPFR_RNDN);
mpfr_get_f (x, y, MPFR_RNDN);
inex = mpfr_set_f (z, x, MPFR_RNDN);
if (inex != 0 || ! mpfr_equal_p (y, z))
{
printf ("Error in mpfr_get_f:\n inex = %d, y = ", inex);
mpfr_dump (z);
printf ("Expected:\n inex = 0, y = ");
mpfr_dump (y);
exit (1);
}
mpfr_clear (y);
mpfr_clear (z);
mpf_clear (x);
special_test ();
prec_test ();
ternary_test ();
tests_end_mpfr ();
return 0;
}
