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// Copyright (c) 2002, Industrial Light & Magic, a division of Lucas
// Digital Ltd. LLC
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///////////////////////////////////////////////////////////////////////////
#include <testFrustum.h>
#include "ImathFrustum.h"
#include "ImathEuler.h"
#include "ImathFun.h"
#include <iostream>
#include <assert.h>
using namespace std;
namespace
{
void
testFrustumPlanes (IMATH_INTERNAL_NAMESPACE::Frustumf &frustum)
{
bool ortho = frustum.orthographic();
IMATH_INTERNAL_NAMESPACE::V3f o (0.0f, 0.0f, 0.0f);
float eps = 5.0e-4;
for (float xRo = 0.0f; xRo < 360.0f; xRo += 100.0f)
{
for (float yRo = 0.0f; yRo < 360.0f; yRo += 105.0f)
{
for (float zRo = 0.0f; zRo < 360.0f; zRo += 110.0f)
{
for (float xTr = -10.0f; xTr < 10.0f; xTr += 2)
{
for (float yTr = -10.0f; yTr < 10.0f; yTr += 3)
{
for (float zTr = -10.0f; zTr < 10.0f; zTr += 4)
{
float xRoRad = xRo * (2.0f * float(M_PI) / 360.0f);
float yRoRad = yRo * (2.0f * float(M_PI) / 360.0f);
float zRoRad = zRo * (2.0f * float(M_PI) / 360.0f);
IMATH_INTERNAL_NAMESPACE::Eulerf e(xRoRad, yRoRad, zRoRad);
IMATH_INTERNAL_NAMESPACE::M44f mView = e.toMatrix44();
mView.translate (IMATH_INTERNAL_NAMESPACE::V3f(xTr, yTr, zTr));
IMATH_INTERNAL_NAMESPACE::Plane3f planes0[6];
frustum.planes (planes0);
IMATH_INTERNAL_NAMESPACE::Plane3f planes[6];
frustum.planes (planes, mView);
IMATH_INTERNAL_NAMESPACE::V3f up = IMATH_INTERNAL_NAMESPACE::V3f(0, 1, 0);
assert ((up ^ planes0[0].normal) > 0.0);
mView.multDirMatrix (up, up);
assert ((up ^ planes[0].normal) > 0.0);
IMATH_INTERNAL_NAMESPACE::V3f pt = (! ortho) ? o :
IMATH_INTERNAL_NAMESPACE::V3f (0.0f, frustum.top(), 0.0f);
float d = planes0[0].distanceTo (pt);
assert (IMATH_INTERNAL_NAMESPACE::iszero (d, eps));
pt = pt * mView;
d = planes[0].distanceTo (pt);
assert (IMATH_INTERNAL_NAMESPACE::iszero (d, eps));
IMATH_INTERNAL_NAMESPACE::V3f right = IMATH_INTERNAL_NAMESPACE::V3f(1, 0, 0);
assert ((right ^ planes0[1].normal) > 0.0);
mView.multDirMatrix (right, right);
assert ((right ^ planes[1].normal) > 0.0);
pt = (! ortho) ? o :
IMATH_INTERNAL_NAMESPACE::V3f (frustum.right(), 0.0f, 0.0f);
d = planes0[1].distanceTo (pt);
assert (IMATH_INTERNAL_NAMESPACE::iszero (d, eps));
pt = pt * mView;
d = planes[1].distanceTo (pt);
assert (IMATH_INTERNAL_NAMESPACE::iszero (d, eps));
IMATH_INTERNAL_NAMESPACE::V3f down = IMATH_INTERNAL_NAMESPACE::V3f(0, -1, 0);
assert ((down ^ planes0[2].normal) > 0.0);
mView.multDirMatrix (down, down);
assert ((down ^ planes[2].normal) > 0.0);
pt = (! ortho) ? o :
IMATH_INTERNAL_NAMESPACE::V3f (0.0f, frustum.bottom(), 0.0f);
d = planes0[2].distanceTo (pt);
assert (IMATH_INTERNAL_NAMESPACE::iszero (d, eps));
pt = pt * mView;
d = planes[2].distanceTo (pt);
assert (IMATH_INTERNAL_NAMESPACE::iszero (d, eps));
IMATH_INTERNAL_NAMESPACE::V3f left = IMATH_INTERNAL_NAMESPACE::V3f(-1, 0, 0);
assert ((left ^ planes0[3].normal) > 0.0);
mView.multDirMatrix (left, left);
assert ((left ^ planes[3].normal) > 0.0);
pt = (! ortho) ? o :
IMATH_INTERNAL_NAMESPACE::V3f (frustum.left(), 0.0f, 0.0f);
d = planes0[3].distanceTo (pt);
assert (IMATH_INTERNAL_NAMESPACE::iszero (d, eps));
pt = pt * mView;
d = planes[3].distanceTo (pt);
assert (IMATH_INTERNAL_NAMESPACE::iszero (d, eps));
IMATH_INTERNAL_NAMESPACE::V3f front = IMATH_INTERNAL_NAMESPACE::V3f(0, 0, 1);
assert ((front ^ planes0[4].normal) > 0.0);
mView.multDirMatrix (front, front);
assert ((front ^ planes[4].normal) > 0.0);
pt = IMATH_INTERNAL_NAMESPACE::V3f (0.0f, 0.0f, -frustum.nearPlane());
d = planes0[4].distanceTo (pt);
assert (IMATH_INTERNAL_NAMESPACE::iszero (d, eps));
pt = pt * mView;
d = planes[4].distanceTo (pt);
assert (IMATH_INTERNAL_NAMESPACE::iszero (d, eps));
IMATH_INTERNAL_NAMESPACE::V3f back = IMATH_INTERNAL_NAMESPACE::V3f(0, 0, -1);
assert ((back ^ planes0[5].normal) > 0.0);
mView.multDirMatrix (back, back);
assert ((back ^ planes[5].normal) > 0.0);
pt = IMATH_INTERNAL_NAMESPACE::V3f (0.0f, 0.0f, -frustum.farPlane());
d = planes0[5].distanceTo (pt);
assert (IMATH_INTERNAL_NAMESPACE::iszero (d, eps));
pt = pt * mView;
d = planes[5].distanceTo (pt);
assert (IMATH_INTERNAL_NAMESPACE::iszero (d, eps));
}
}
}
}
}
}
}
}
void
testFrustum ()
{
cout << "Testing functions in ImathFrustum.h";
cout << "\nperspective ";
float n = 1.7;
float f = 567.0;
float l = -3.5;
float r = 2.0;
float b = -1.3;
float t = 0.9;
IMATH_INTERNAL_NAMESPACE::Frustum<float> frustum (n, f, l, r, t, b, false);
assert (IMATH_INTERNAL_NAMESPACE::abs<float> (frustum.fovx() -
(atan2(r,n) - atan2(l,n))) < 1e-6);
assert (IMATH_INTERNAL_NAMESPACE::abs<float> (frustum.fovy() -
(atan2(t,n) - atan2(b,n))) < 1e-6);
cout << "1";
assert (IMATH_INTERNAL_NAMESPACE::abs<float> (frustum.aspect() - ((r-l)/(t-b))) < 1e-6);
cout << "2";
IMATH_INTERNAL_NAMESPACE::M44f m = frustum.projectionMatrix();
assert (IMATH_INTERNAL_NAMESPACE::abs<float> (m[0][0] - ((2*n)/(r-l))) < 1e-6 &&
IMATH_INTERNAL_NAMESPACE::abs<float> (m[0][1]) < 1e-6 &&
IMATH_INTERNAL_NAMESPACE::abs<float> (m[0][2]) < 1e-6 &&
IMATH_INTERNAL_NAMESPACE::abs<float> (m[0][3]) < 1e-6 &&
IMATH_INTERNAL_NAMESPACE::abs<float> (m[1][0]) < 1e-6 &&
IMATH_INTERNAL_NAMESPACE::abs<float> (m[1][1] - ((2*n)/(t-b))) < 1e-6 &&
IMATH_INTERNAL_NAMESPACE::abs<float> (m[1][2]) < 1e-6 &&
IMATH_INTERNAL_NAMESPACE::abs<float> (m[1][3]) < 1e-6 &&
IMATH_INTERNAL_NAMESPACE::abs<float> (m[2][0] - ((r+l)/(r-l))) < 1e-6 &&
IMATH_INTERNAL_NAMESPACE::abs<float> (m[2][1] - ((t+b)/(t-b))) < 1e-6 &&
IMATH_INTERNAL_NAMESPACE::abs<float> (m[2][2] - (-(f+n)/(f-n))) < 1e-6 &&
IMATH_INTERNAL_NAMESPACE::abs<float> (m[2][3] - -1.0) < 1e-6 &&
IMATH_INTERNAL_NAMESPACE::abs<float> (m[3][0]) < 1e-6 &&
IMATH_INTERNAL_NAMESPACE::abs<float> (m[3][1]) < 1e-6 &&
IMATH_INTERNAL_NAMESPACE::abs<float> (m[3][2] - ((-2*f*n)/(f-n))) < 1e-6 &&
IMATH_INTERNAL_NAMESPACE::abs<float> (m[3][3]) < 1e-6);
cout << "3";
cout << "\nplanes ";
testFrustumPlanes (frustum);
cout << "\nexceptions ";
IMATH_INTERNAL_NAMESPACE::Frustum<float> badFrustum;
badFrustum.set (n, n, l, r, t, b, false);
try
{
(void)badFrustum.projectionMatrix();
assert (!"near == far didn't throw an exception");
}
catch (IEX_NAMESPACE::DivzeroExc) {}
cout << "1";
badFrustum.set (n, f, l, l, t, b, false);
try
{
(void)badFrustum.projectionMatrix();
assert (!"left == right didn't throw an exception");
}
catch (IEX_NAMESPACE::DivzeroExc) {}
cout << "2";
badFrustum.set (n, f, l, r, t, t, false);
try
{
(void)badFrustum.projectionMatrix();
assert (!"top == bottom didn't throw an exception");
}
catch (IEX_NAMESPACE::DivzeroExc) {}
cout << "3";
cout << "\northographic ";
frustum.setOrthographic (true);
m = frustum.projectionMatrix();
assert (IMATH_INTERNAL_NAMESPACE::abs<float> (m[0][0] - (2/(r-l))) < 1e-6 &&
IMATH_INTERNAL_NAMESPACE::abs<float> (m[0][1]) < 1e-6 &&
IMATH_INTERNAL_NAMESPACE::abs<float> (m[0][2]) < 1e-6 &&
IMATH_INTERNAL_NAMESPACE::abs<float> (m[0][3]) < 1e-6 &&
IMATH_INTERNAL_NAMESPACE::abs<float> (m[1][0]) < 1e-6 &&
IMATH_INTERNAL_NAMESPACE::abs<float> (m[1][1] - (2/(t-b))) < 1e-6 &&
IMATH_INTERNAL_NAMESPACE::abs<float> (m[1][2]) < 1e-6 &&
IMATH_INTERNAL_NAMESPACE::abs<float> (m[1][3]) < 1e-6 &&
IMATH_INTERNAL_NAMESPACE::abs<float> (m[2][0]) < 1e-6 &&
IMATH_INTERNAL_NAMESPACE::abs<float> (m[2][1]) < 1e-6 &&
IMATH_INTERNAL_NAMESPACE::abs<float> (m[2][2] - (-2/(f-n))) < 1e-6 &&
IMATH_INTERNAL_NAMESPACE::abs<float> (m[2][3]) < 1e-6 &&
IMATH_INTERNAL_NAMESPACE::abs<float> (m[3][0] - (-(r+l)/(r-l))) < 1e-6 &&
IMATH_INTERNAL_NAMESPACE::abs<float> (m[3][1] - (-(t+b)/(t-b))) < 1e-6 &&
IMATH_INTERNAL_NAMESPACE::abs<float> (m[3][2] - (-(f+n)/(f-n))) < 1e-6 &&
IMATH_INTERNAL_NAMESPACE::abs<float> (m[3][3] - 1.0) < 1e-6);
cout << "1";
cout << "\nplanes ";
testFrustumPlanes (frustum);
// TODO - There are many little functions in IMATH_INTERNAL_NAMESPACE::Frustum which
// aren't tested here. Those test should be added. But this is
// a start.
IMATH_INTERNAL_NAMESPACE::Frustum<float> f1 (n, f, l, r, t, b, false);
IMATH_INTERNAL_NAMESPACE::Frustum<float> f2 (n, f, l, r, t, b, true);
assert (f1 != f2);
f2.set(n + 0.1, f, l, r, t, b, false);
assert (f1 != f2);
f2.set(n, f + 0.1, l, r, t, b, false);
assert (f1 != f2);
f2.set(n, f, l + 0.1, r, t, b, false);
assert (f1 != f2);
f2.set(n, f, l, r + 0.1, t, b, false);
assert (f1 != f2);
f2.set(n, f, l, r, t + 0.1, b, false);
assert (f1 != f2);
f2.set(n, f, l, r, t, b + 0.1, false);
assert (f1 != f2);
cout << "\npassed inequality test";
f1 = f2;
assert (f1 == f2);
cout << "\npassed equality test";
cout << "\nok\n\n";
}