static void
test_invalid(long double x, long double y)
{
int q;
q = 0xdeadbeef;
assert(isnan(remainder(x, y)));
assert(isnan(remquo(x, y, &q)));
#ifdef STRICT
assert(q == 0xdeadbeef);
#endif
assert(isnan(remainderf(x, y)));
assert(isnan(remquof(x, y, &q)));
#ifdef STRICT
assert(q == 0xdeadbeef);
#endif
assert(isnan(remainderl(x, y)));
assert(isnan(remquol(x, y, &q)));
#ifdef STRICT
assert(q == 0xdeadbeef);
#endif
}
void test_remainder()
{
static_assert((std::is_same<decltype(remainder((double)0, (double)0)), double>::value), "");
static_assert((std::is_same<decltype(remainderf(0,0)), float>::value), "");
static_assert((std::is_same<decltype(remainderl(0,0)), long double>::value), "");
static_assert((std::is_same<decltype(remainder((int)0, (int)0)), double>::value), "");
assert(remainder(0.5,1) == 0.5);
}
/*
* float get_value_interp(x,y,z)
*
* Grabs a value from the 3D scalar field. Calculate the value
* by using a trilinear interpolation.
*
* The trilinear interpolation algorithm has been extracted from:
* http://paulbourke.net/miscellaneous/interpolation/
*
* Future algorithm can make use of a cubic interpolation.
*
*/
float ScalarField::get_value_interp(const float &x, const float &y, const float &z) {
// cast the input to the nearest grid point
XYZ r = this->realspace_to_grid(x,y,z);
XYZ d = this->realspace_to_direct(x,y,z);
// to test whether the point is inside the box, we cast the point back
// to the direct grid and check if it is for each cartesian coordinate
// within the domain [0,1]
if(d.x < 0 || d.x > 1.0) {
return 0.0;
}
if(d.y < 0 || d.y > 1.0) {
return 0.0;
}
if(d.z < 0 || d.z > 1.0) {
return 0.0;
}
// calculate value using trilinear interpolation
float xd = remainderf(r.x, 1.0);
float yd = remainderf(r.y, 1.0);
float zd = remainderf(r.z, 1.0);
if(xd < 0) xd += 1.0;
if(yd < 0) yd += 1.0;
if(zd < 0) zd += 1.0;
float x0 = floor(r.x);
float x1 = ceil(r.x);
float y0 = floor(r.y);
float y1 = ceil(r.y);
float z0 = floor(r.z);
float z1 = ceil(r.z);
return
this->get_value(x0, y0, z0) * (1.0 - xd) * (1.0 - yd) * (1.0 - zd) +
this->get_value(x1, y0, z0) * xd * (1.0 - yd) * (1.0 - zd) +
this->get_value(x0, y1, z0) * (1.0 - xd) * yd * (1.0 - zd) +
this->get_value(x0, y0, z1) * (1.0 - xd) * (1.0 - yd) * zd +
this->get_value(x1, y0, z1) * xd * (1.0 - yd) * zd +
this->get_value(x0, y1, z1) * (1.0 - xd) * yd * zd +
this->get_value(x1, y1, z0) * xd * yd * (1.0 - zd) +
this->get_value(x1, y1, z1) * xd * yd * zd;
}
void generate_random_colors(Slice<Vec3> colors)
{
float h = 0;
const float s = 0.7f;
const float v = 0.95f;
for (Vec3 &c : colors) {
c = hsv_to_rgb(Vec3(h, s, v));
h += GOLDEN_RATIO_CONJUGATE;
h = remainderf(h, 1.0f);
}
}
static void
testf(float x, float y, float expected_rem, int expected_quo)
{
int q;
float rem;
q = random();
rem = remainderf(x, y);
assert(rem == expected_rem);
assert(!signbit(rem) == !signbit(expected_rem));
rem = remquof(x, y, &q);
assert(rem == expected_rem);
assert(!signbit(rem) == !signbit(expected_rem));
assert((q ^ expected_quo) >= 0); /* sign(q) == sign(expected_quo) */
assert((q & 0x7) == (expected_quo & 0x7));
if (q != 0) {
assert((q > 0) ^ !(expected_quo > 0));
q = abs(q);
assert((q & mask(q)) == (abs(expected_quo) & mask(q)));
}
}
KDfloat32 KD_APIENTRY Powf(KDfloat32 x, KDfloat32 y)
{
EVENT("(KDfloat32 x = %f, KDfloat32 y = %f)", x, y);
if (x == +1.0f || y == 0.0f)
{
return +1.0f;
}
else if (isnan(x) || isnan(y))
{
return NAN;
}
else if (x == +KD_INFINITY)
{
return (y > 0.0f) ? +KD_INFINITY : +0.0f;
}
else if (x == -KD_INFINITY)
{
const float r = remainderf(y, 2.0f);
if (r == +1.0f) return -KD_INFINITY;
if (r == -1.0f) return -0.0f;
return (y > 0.0f) ? +KD_INFINITY : +0.0f;
}
else if (y == +KD_INFINITY)
{
if (x == -1.0f) return +1.0f;
return (x > -1.0f && x < +1.0f) ? +0.0f : +KD_INFINITY;
}
else if (y == -KD_INFINITY)
{
if (x == -1.0f) return 1.0f;
return (x > -1.0f && x < +1.0f) ? +KD_INFINITY : +0.0f;
}
else
{
return powf(x, y);
}
}
float32 float32_rem( float32 a, float32 b STATUS_PARAM)
{
return remainderf(a, b);
}
float
dremf(float x, float y)
{
return remainderf(x, y);
}
void
domathf (void)
{
#ifndef NO_FLOAT
float f1;
float f2;
int i1;
f1 = acosf(0.0);
fprintf( stdout, "acosf : %f\n", f1);
f1 = acoshf(0.0);
fprintf( stdout, "acoshf : %f\n", f1);
f1 = asinf(1.0);
fprintf( stdout, "asinf : %f\n", f1);
f1 = asinhf(1.0);
fprintf( stdout, "asinhf : %f\n", f1);
f1 = atanf(M_PI_4);
fprintf( stdout, "atanf : %f\n", f1);
f1 = atan2f(2.3, 2.3);
fprintf( stdout, "atan2f : %f\n", f1);
f1 = atanhf(1.0);
fprintf( stdout, "atanhf : %f\n", f1);
f1 = cbrtf(27.0);
fprintf( stdout, "cbrtf : %f\n", f1);
f1 = ceilf(3.5);
fprintf( stdout, "ceilf : %f\n", f1);
f1 = copysignf(3.5, -2.5);
fprintf( stdout, "copysignf : %f\n", f1);
f1 = cosf(M_PI_2);
fprintf( stdout, "cosf : %f\n", f1);
f1 = coshf(M_PI_2);
fprintf( stdout, "coshf : %f\n", f1);
f1 = erff(42.0);
fprintf( stdout, "erff : %f\n", f1);
f1 = erfcf(42.0);
fprintf( stdout, "erfcf : %f\n", f1);
f1 = expf(0.42);
fprintf( stdout, "expf : %f\n", f1);
f1 = exp2f(0.42);
fprintf( stdout, "exp2f : %f\n", f1);
f1 = expm1f(0.00042);
fprintf( stdout, "expm1f : %f\n", f1);
f1 = fabsf(-1.123);
fprintf( stdout, "fabsf : %f\n", f1);
f1 = fdimf(1.123, 2.123);
fprintf( stdout, "fdimf : %f\n", f1);
f1 = floorf(0.5);
fprintf( stdout, "floorf : %f\n", f1);
f1 = floorf(-0.5);
fprintf( stdout, "floorf : %f\n", f1);
f1 = fmaf(2.1, 2.2, 3.01);
fprintf( stdout, "fmaf : %f\n", f1);
f1 = fmaxf(-0.42, 0.42);
fprintf( stdout, "fmaxf : %f\n", f1);
f1 = fminf(-0.42, 0.42);
fprintf( stdout, "fminf : %f\n", f1);
f1 = fmodf(42.0, 3.0);
fprintf( stdout, "fmodf : %f\n", f1);
/* no type-specific variant */
i1 = fpclassify(1.0);
fprintf( stdout, "fpclassify : %d\n", i1);
f1 = frexpf(42.0, &i1);
fprintf( stdout, "frexpf : %f\n", f1);
f1 = hypotf(42.0, 42.0);
fprintf( stdout, "hypotf : %f\n", f1);
i1 = ilogbf(42.0);
fprintf( stdout, "ilogbf : %d\n", i1);
/* no type-specific variant */
i1 = isfinite(3.0);
fprintf( stdout, "isfinite : %d\n", i1);
/* no type-specific variant */
i1 = isgreater(3.0, 3.1);
fprintf( stdout, "isgreater : %d\n", i1);
/* no type-specific variant */
i1 = isgreaterequal(3.0, 3.1);
fprintf( stdout, "isgreaterequal : %d\n", i1);
/* no type-specific variant */
i1 = isinf(3.0);
fprintf( stdout, "isinf : %d\n", i1);
/* no type-specific variant */
i1 = isless(3.0, 3.1);
fprintf( stdout, "isless : %d\n", i1);
/* no type-specific variant */
i1 = islessequal(3.0, 3.1);
fprintf( stdout, "islessequal : %d\n", i1);
/* no type-specific variant */
i1 = islessgreater(3.0, 3.1);
fprintf( stdout, "islessgreater : %d\n", i1);
/* no type-specific variant */
i1 = isnan(0.0);
fprintf( stdout, "isnan : %d\n", i1);
/* no type-specific variant */
i1 = isnormal(3.0);
fprintf( stdout, "isnormal : %d\n", i1);
/* no type-specific variant */
f1 = isunordered(1.0, 2.0);
fprintf( stdout, "isunordered : %d\n", i1);
f1 = j0f(1.2);
fprintf( stdout, "j0f : %f\n", f1);
f1 = j1f(1.2);
fprintf( stdout, "j1f : %f\n", f1);
f1 = jnf(2,1.2);
fprintf( stdout, "jnf : %f\n", f1);
f1 = ldexpf(1.2,3);
fprintf( stdout, "ldexpf : %f\n", f1);
f1 = lgammaf(42.0);
fprintf( stdout, "lgammaf : %f\n", f1);
f1 = llrintf(-0.5);
fprintf( stdout, "llrintf : %f\n", f1);
f1 = llrintf(0.5);
fprintf( stdout, "llrintf : %f\n", f1);
f1 = llroundf(-0.5);
fprintf( stdout, "lroundf : %f\n", f1);
f1 = llroundf(0.5);
fprintf( stdout, "lroundf : %f\n", f1);
f1 = logf(42.0);
fprintf( stdout, "logf : %f\n", f1);
f1 = log10f(42.0);
fprintf( stdout, "log10f : %f\n", f1);
f1 = log1pf(42.0);
fprintf( stdout, "log1pf : %f\n", f1);
f1 = log2f(42.0);
fprintf( stdout, "log2f : %f\n", f1);
f1 = logbf(42.0);
fprintf( stdout, "logbf : %f\n", f1);
f1 = lrintf(-0.5);
fprintf( stdout, "lrintf : %f\n", f1);
f1 = lrintf(0.5);
fprintf( stdout, "lrintf : %f\n", f1);
f1 = lroundf(-0.5);
fprintf( stdout, "lroundf : %f\n", f1);
f1 = lroundf(0.5);
fprintf( stdout, "lroundf : %f\n", f1);
f1 = modff(42.0,&f2);
fprintf( stdout, "lmodff : %f\n", f1);
f1 = nanf("");
fprintf( stdout, "nanf : %f\n", f1);
f1 = nearbyintf(1.5);
fprintf( stdout, "nearbyintf : %f\n", f1);
f1 = nextafterf(1.5,2.0);
fprintf( stdout, "nextafterf : %f\n", f1);
f1 = powf(3.01, 2.0);
fprintf( stdout, "powf : %f\n", f1);
f1 = remainderf(3.01,2.0);
fprintf( stdout, "remainderf : %f\n", f1);
f1 = remquof(29.0,3.0,&i1);
fprintf( stdout, "remquof : %f\n", f1);
f1 = rintf(0.5);
fprintf( stdout, "rintf : %f\n", f1);
f1 = rintf(-0.5);
fprintf( stdout, "rintf : %f\n", f1);
f1 = roundf(0.5);
fprintf( stdout, "roundf : %f\n", f1);
f1 = roundf(-0.5);
fprintf( stdout, "roundf : %f\n", f1);
f1 = scalblnf(1.2,3);
fprintf( stdout, "scalblnf : %f\n", f1);
f1 = scalbnf(1.2,3);
fprintf( stdout, "scalbnf : %f\n", f1);
/* no type-specific variant */
i1 = signbit(1.0);
fprintf( stdout, "signbit : %i\n", i1);
f1 = sinf(M_PI_4);
fprintf( stdout, "sinf : %f\n", f1);
f1 = sinhf(M_PI_4);
fprintf( stdout, "sinhf : %f\n", f1);
f1 = sqrtf(9.0);
fprintf( stdout, "sqrtf : %f\n", f1);
f1 = tanf(M_PI_4);
fprintf( stdout, "tanf : %f\n", f1);
f1 = tanhf(M_PI_4);
fprintf( stdout, "tanhf : %f\n", f1);
f1 = tgammaf(2.1);
fprintf( stdout, "tgammaf : %f\n", f1);
f1 = truncf(3.5);
fprintf( stdout, "truncf : %f\n", f1);
f1 = y0f(1.2);
fprintf( stdout, "y0f : %f\n", f1);
f1 = y1f(1.2);
fprintf( stdout, "y1f : %f\n", f1);
f1 = ynf(3,1.2);
fprintf( stdout, "ynf : %f\n", f1);
#endif
}
TEST(math, remainderf) {
ASSERT_FLOAT_EQ(2.0f, remainderf(12.0f, 10.0f));
}
__host__ void single_precision_math_functions()
{
int iX;
float fX, fY;
acosf(1.0f);
acoshf(1.0f);
asinf(0.0f);
asinhf(0.0f);
atan2f(0.0f, 1.0f);
atanf(0.0f);
atanhf(0.0f);
cbrtf(0.0f);
ceilf(0.0f);
copysignf(1.0f, -2.0f);
cosf(0.0f);
coshf(0.0f);
//cospif(0.0f);
//cyl_bessel_i0f(0.0f);
//cyl_bessel_i1f(0.0f);
erfcf(0.0f);
//erfcinvf(2.0f);
//erfcxf(0.0f);
erff(0.0f);
//erfinvf(1.0f);
exp10f(0.0f);
exp2f(0.0f);
expf(0.0f);
expm1f(0.0f);
fabsf(1.0f);
fdimf(1.0f, 0.0f);
//fdividef(0.0f, 1.0f);
floorf(0.0f);
fmaf(1.0f, 2.0f, 3.0f);
fmaxf(0.0f, 0.0f);
fminf(0.0f, 0.0f);
fmodf(0.0f, 1.0f);
frexpf(0.0f, &iX);
hypotf(1.0f, 0.0f);
ilogbf(1.0f);
isfinite(0.0f);
isinf(0.0f);
isnan(0.0f);
///j0f(0.0f);
///j1f(0.0f);
///jnf(-1.0f, 1.0f);
ldexpf(0.0f, 0);
///lgammaf(1.0f);
///llrintf(0.0f);
///llroundf(0.0f);
log10f(1.0f);
log1pf(-1.0f);
log2f(1.0f);
logbf(1.0f);
logf(1.0f);
///lrintf(0.0f);
///lroundf(0.0f);
modff(0.0f, &fX);
///nanf("1");
nearbyintf(0.0f);
//nextafterf(0.0f);
//norm3df(1.0f, 0.0f, 0.0f);
//norm4df(1.0f, 0.0f, 0.0f, 0.0f);
//normcdff(0.0f);
//normcdfinvf(1.0f);
//fX = 1.0f; normf(1, &fX);
powf(1.0f, 0.0f);
//rcbrtf(1.0f);
remainderf(2.0f, 1.0f);
remquof(1.0f, 2.0f, &iX);
//rhypotf(0.0f, 1.0f);
///rintf(1.0f);
//rnorm3df(0.0f, 0.0f, 1.0f);
//rnorm4df(0.0f, 0.0f, 0.0f, 1.0f);
//fX = 1.0f; rnormf(1, &fX);
roundf(0.0f);
//rsqrtf(1.0f);
///scalblnf(0.0f, 1);
scalbnf(0.0f, 1);
signbit(1.0f);
sincosf(0.0f, &fX, &fY);
//sincospif(0.0f, &fX, &fY);
sinf(0.0f);
sinhf(0.0f);
//sinpif(0.0f);
sqrtf(0.0f);
tanf(0.0f);
tanhf(0.0f);
tgammaf(2.0f);
truncf(0.0f);
///y0f(1.0f);
///y1f(1.0f);
///ynf(1, 1.0f);
}
static int testf(float float_x, long double long_double_x, /*float complex float_complex_x,*/ int int_x, long long_x)
{
int r = 0;
r += acosf(float_x);
r += acoshf(float_x);
r += asinf(float_x);
r += asinhf(float_x);
r += atan2f(float_x, float_x);
r += atanf(float_x);
r += atanhf(float_x);
/*r += cargf(float_complex_x); - will fight with complex numbers later */
r += cbrtf(float_x);
r += ceilf(float_x);
r += copysignf(float_x, float_x);
r += cosf(float_x);
r += coshf(float_x);
r += erfcf(float_x);
r += erff(float_x);
r += exp2f(float_x);
r += expf(float_x);
r += expm1f(float_x);
r += fabsf(float_x);
r += fdimf(float_x, float_x);
r += floorf(float_x);
r += fmaf(float_x, float_x, float_x);
r += fmaxf(float_x, float_x);
r += fminf(float_x, float_x);
r += fmodf(float_x, float_x);
r += frexpf(float_x, &int_x);
r += gammaf(float_x);
r += hypotf(float_x, float_x);
r += ilogbf(float_x);
r += ldexpf(float_x, int_x);
r += lgammaf(float_x);
r += llrintf(float_x);
r += llroundf(float_x);
r += log10f(float_x);
r += log1pf(float_x);
r += log2f(float_x);
r += logbf(float_x);
r += logf(float_x);
r += lrintf(float_x);
r += lroundf(float_x);
r += modff(float_x, &float_x);
r += nearbyintf(float_x);
r += nexttowardf(float_x, long_double_x);
r += powf(float_x, float_x);
r += remainderf(float_x, float_x);
r += remquof(float_x, float_x, &int_x);
r += rintf(float_x);
r += roundf(float_x);
#ifdef __UCLIBC_SUSV3_LEGACY__
r += scalbf(float_x, float_x);
#endif
r += scalblnf(float_x, long_x);
r += scalbnf(float_x, int_x);
r += significandf(float_x);
r += sinf(float_x);
r += sinhf(float_x);
r += sqrtf(float_x);
r += tanf(float_x);
r += tanhf(float_x);
r += tgammaf(float_x);
r += truncf(float_x);
return r;
}
float test2f(float x, float y)
{
return remainderf(x, y);
}
__global__ void FloatMathPrecise() {
int iX;
float fX, fY;
acosf(1.0f);
acoshf(1.0f);
asinf(0.0f);
asinhf(0.0f);
atan2f(0.0f, 1.0f);
atanf(0.0f);
atanhf(0.0f);
cbrtf(0.0f);
fX = ceilf(0.0f);
fX = copysignf(1.0f, -2.0f);
cosf(0.0f);
coshf(0.0f);
cospif(0.0f);
cyl_bessel_i0f(0.0f);
cyl_bessel_i1f(0.0f);
erfcf(0.0f);
erfcinvf(2.0f);
erfcxf(0.0f);
erff(0.0f);
erfinvf(1.0f);
exp10f(0.0f);
exp2f(0.0f);
expf(0.0f);
expm1f(0.0f);
fX = fabsf(1.0f);
fdimf(1.0f, 0.0f);
fdividef(0.0f, 1.0f);
fX = floorf(0.0f);
fmaf(1.0f, 2.0f, 3.0f);
fX = fmaxf(0.0f, 0.0f);
fX = fminf(0.0f, 0.0f);
fmodf(0.0f, 1.0f);
frexpf(0.0f, &iX);
hypotf(1.0f, 0.0f);
ilogbf(1.0f);
isfinite(0.0f);
fX = isinf(0.0f);
fX = isnan(0.0f);
j0f(0.0f);
j1f(0.0f);
jnf(-1.0f, 1.0f);
ldexpf(0.0f, 0);
lgammaf(1.0f);
llrintf(0.0f);
llroundf(0.0f);
log10f(1.0f);
log1pf(-1.0f);
log2f(1.0f);
logbf(1.0f);
logf(1.0f);
lrintf(0.0f);
lroundf(0.0f);
modff(0.0f, &fX);
fX = nanf("1");
fX = nearbyintf(0.0f);
nextafterf(0.0f, 0.0f);
norm3df(1.0f, 0.0f, 0.0f);
norm4df(1.0f, 0.0f, 0.0f, 0.0f);
normcdff(0.0f);
normcdfinvf(1.0f);
fX = 1.0f;
normf(1, &fX);
powf(1.0f, 0.0f);
rcbrtf(1.0f);
remainderf(2.0f, 1.0f);
remquof(1.0f, 2.0f, &iX);
rhypotf(0.0f, 1.0f);
fY = rintf(1.0f);
rnorm3df(0.0f, 0.0f, 1.0f);
rnorm4df(0.0f, 0.0f, 0.0f, 1.0f);
fX = 1.0f;
rnormf(1, &fX);
fY = roundf(0.0f);
rsqrtf(1.0f);
scalblnf(0.0f, 1);
scalbnf(0.0f, 1);
signbit(1.0f);
sincosf(0.0f, &fX, &fY);
sincospif(0.0f, &fX, &fY);
sinf(0.0f);
sinhf(0.0f);
sinpif(0.0f);
sqrtf(0.0f);
tanf(0.0f);
tanhf(0.0f);
tgammaf(2.0f);
fY = truncf(0.0f);
y0f(1.0f);
y1f(1.0f);
ynf(1, 1.0f);
}
int main(int argc, char *argv[])
{
float x = 0.0;
if (argv) x = remainderf((float) argc, (float) argc);
return 0;
}
