void test01_shRotation() {
/* Generate a random SH expansion, rotate it and
spot-check 100 times against the original evaluated
at appropriately rotated positions */
ref<Random> random = new Random();
int bands = 8;
SHVector vec1(bands);
for (int l=0; l<bands; ++l)
for (int m=-l; m<=l; ++m)
vec1(l, m) = random->nextFloat();
Vector axis(squareToSphere(Point2(random->nextFloat(), random->nextFloat())));
Transform trafo = Transform::rotate(axis, random->nextFloat()*360);
Transform inv = trafo.inverse();
SHRotation rot(vec1.getBands());
SHVector::rotation(trafo, rot);
SHVector vec2(bands);
rot(vec1, vec2);
for (int i=0; i<100; ++i) {
Vector dir1(squareToSphere(Point2(random->nextFloat(), random->nextFloat()))), dir2;
trafo(dir1, dir2);
Float value1 = vec1.eval(dir2);
Float value2 = vec2.eval(dir1);
assertEqualsEpsilon(value1, value2, Epsilon);
}
}
Vector sampleDirection(Point2 sample, Float &pdf, Spectrum &value) const {
#if defined(SAMPLE_UNIFORMLY)
pdf = 1.0f / (4*M_PI);
Vector d = squareToSphere(sample);
value = Le(-d);
return d;
#endif
}
void sampleEmission(EmissionRecord &eRec,
const Point2 &sample1, const Point2 &sample2) const {
eRec.sRec.p = m_position;
eRec.d = squareToSphere(sample2);
eRec.pdfDir = 1.0f / (4 * M_PI);
eRec.pdfArea = 1;
eRec.value = m_intensity;
}
void sampleEmissionArea(EmissionRecord &eRec, const Point2 &sample) const {
if (eRec.type == EmissionRecord::ENormal) {
Vector d = squareToSphere(sample);
eRec.sRec.p = m_bsphere.center + d * m_bsphere.radius;
eRec.sRec.n = Normal(-d);
eRec.pdfArea = 1.0f / (4 * M_PI * m_bsphere.radius * m_bsphere.radius);
eRec.value = Spectrum(M_PI);
} else {
/* Preview mode, which is more suitable for VPL-based rendering: approximate
the infinitely far-away source with set of diffuse point sources */
const Float radius = m_bsphere.radius * 1.5f;
Vector d = squareToSphere(sample);
eRec.sRec.p = m_bsphere.center + d * radius;
eRec.sRec.n = Normal(-d);
eRec.pdfArea = 1.0f / (4 * M_PI * radius * radius);
eRec.value = Le(d) * M_PI;
}
}
void sampleEmissionArea(EmissionRecord &eRec, const Point2 &sample) const {
Float radius = m_bsphere.radius;
if (eRec.type == EmissionRecord::EPreview) {
/* This is more suitable for VPL-based rendering */
radius *= 1.5;
}
Vector d = squareToSphere(sample);
eRec.sRec.p = m_bsphere.center + d * radius;
eRec.sRec.n = Normal(-d);
eRec.pdfArea = 1.0f / (4 * M_PI * radius * radius);
eRec.value = m_intensity * M_PI;
}
/**
* This is the tricky bit - we want to sample a ray that
* has uniform density over the set of all rays passing
* through the scene.
* For more detail, see "Using low-discrepancy sequences and
* the Crofton formula to compute surface areas of geometric models"
* by Li, X. and Wang, W. and Martin, R.R. and Bowyer, A.
* (Computer-Aided Design vol 35, #9, pp. 771--782)
*/
void sampleEmission(EmissionRecord &eRec,
const Point2 &sample1, const Point2 &sample2) const {
Assert(eRec.type == EmissionRecord::ENormal);
/* Chord model - generate the ray passing through two uniformly
distributed points on a sphere containing the scene */
Vector d = squareToSphere(sample1);
eRec.sRec.p = m_bsphere.center + d * m_bsphere.radius;
eRec.sRec.n = Normal(-d);
Point p2 = m_bsphere.center + squareToSphere(sample2) * m_bsphere.radius;
eRec.d = p2 - eRec.sRec.p;
Float length = eRec.d.length();
if (length == 0) {
eRec.value = Spectrum(0.0f);
eRec.pdfArea = eRec.pdfDir = 1.0f;
return;
}
eRec.d /= length;
eRec.pdfArea = 1.0f / (4 * M_PI * m_bsphere.radius * m_bsphere.radius);
eRec.pdfDir = INV_PI * dot(eRec.sRec.n, eRec.d);
eRec.value = Le(-eRec.d);
}
void sample(const Point &p, LuminaireSamplingRecord &lRec,
const Point2 &sample) const {
Vector d = squareToSphere(sample);
Float nearHit, farHit;
if (m_bsphere.contains(p) && m_bsphere.rayIntersect(Ray(p, d, 0.0f), nearHit, farHit)) {
lRec.sRec.p = p + d * nearHit;
lRec.pdf = 1.0f / (4*M_PI);
lRec.sRec.n = normalize(m_bsphere.center - lRec.sRec.p);
lRec.d = -d;
lRec.value = m_intensity;
} else {
lRec.pdf = 0.0f;
}
}
Spectrum sampleEmissionDirection(EmissionRecord &eRec, const Point2 &sample) const {
Float radius = m_bsphere.radius;
if (eRec.type == EmissionRecord::EPreview)
radius *= 1.5f;
Point p2 = m_bsphere.center + squareToSphere(sample) * radius;
eRec.d = p2 - eRec.sRec.p;
Float length = eRec.d.length();
if (length == 0.0f) {
eRec.pdfDir = 1.0f;
return Spectrum(0.0f);
}
eRec.d /= length;
eRec.pdfDir = INV_PI * dot(eRec.sRec.n, eRec.d);
return Spectrum(INV_PI);
}
void VPLShaderManager::setVPL(const VPL &vpl) {
Point p = vpl.its.p + vpl.its.shFrame.n * 0.01;
Intersection its;
/* Estimate good near and far plane locations by tracing some rays */
Float nearClip = std::numeric_limits<Float>::infinity(),
farClip = -std::numeric_limits<Float>::infinity();
Ray ray;
ray.o = p;
if (m_shadowMap == NULL || m_shadowMapResolution != m_shadowMap->getSize().x) {
m_shadowMap = m_renderer->createGPUTexture("Shadow cube map", NULL);
m_shadowMap->setSize(Point3i(m_shadowMapResolution, m_shadowMapResolution, 1));
m_shadowMap->setFrameBufferType(GPUTexture::EDepthBuffer);
m_shadowMap->setType(GPUTexture::ETextureCubeMap);
m_shadowMap->setWrapType(GPUTexture::EClampToEdge);
m_shadowMap->setFilterType(GPUTexture::ENearest);
m_shadowMap->setDepthMode(GPUTexture::ENormal);
m_shadowMap->init();
}
const int sampleCount = 200;
const Float invSampleCount = 1.0f/sampleCount;
for (int i=1; i<=sampleCount; ++i) {
Vector dir;
Point2 seed(i*invSampleCount, radicalInverse(2, i)); // Hammersley seq.
if (vpl.type == ESurfaceVPL || vpl.luminaire->getType() & Luminaire::EOnSurface)
dir = vpl.its.shFrame.toWorld(squareToHemispherePSA(seed));
else
dir = squareToSphere(seed);
ray.setDirection(dir);
if (m_scene->rayIntersect(ray, its)) {
nearClip = std::min(nearClip, its.t);
farClip = std::max(farClip, its.t);
}
}
m_minDist = nearClip + (farClip - nearClip) * m_clamping;
nearClip = std::min(nearClip, (Float) 0.001f);
farClip = std::min(farClip * 1.5f, m_maxClipDist);
if (farClip < 0 || nearClip >= farClip) {
/* Unable to find any surface - just default values based on the scene size */
nearClip = 1e-3f * m_scene->getBSphere().radius;
farClip = 2 * m_scene->getBSphere().radius;
m_minDist = 0;
}
farClip = std::min(farClip, 5.0f*m_scene->getBSphere().radius);
m_nearClip = nearClip;
m_invClipRange = 1/(farClip-nearClip);
Transform lightViewTrafo, lightProjTrafo = Transform::glPerspective(90.0f, nearClip, farClip);
Matrix4x4 identity;
identity.setIdentity();
m_renderer->setCamera(identity, identity);
m_shadowMap->activateTarget();
if (m_singlePass && m_shadowProgram != NULL) {
/* "Fancy": render the whole cube map in a single pass using
a geometry program. On anything but brand-new hardware, this
is actually slower. */
m_shadowMap->activateSide(-1);
m_shadowMap->clear();
m_shadowProgram->bind();
try {
for (int i=0; i<6; ++i) {
switch (i) {
case 0: lightViewTrafo = Transform::lookAt(p, p + Vector(1, 0, 0), Vector(0, 1, 0)).inverse(); break;
case 1: lightViewTrafo = Transform::lookAt(p, p + Vector(-1, 0, 0), Vector(0, 1, 0)).inverse(); break;
case 2: lightViewTrafo = Transform::lookAt(p, p + Vector(0, 1, 0), Vector(0, 0, -1)).inverse(); break;
case 3: lightViewTrafo = Transform::lookAt(p, p + Vector(0, -1, 0), Vector(0, 0, 1)).inverse(); break;
case 4: lightViewTrafo = Transform::lookAt(p, p + Vector(0, 0, 1), Vector(0, 1, 0)).inverse(); break;
case 5: lightViewTrafo = Transform::lookAt(p, p + Vector(0, 0, -1), Vector(0, 1, 0)).inverse(); break;
}
lightViewTrafo = Transform::scale(Vector(-1, 1, 1)) * lightViewTrafo;
const Matrix4x4 &viewMatrix = lightViewTrafo.getMatrix();
m_shadowProgram->setParameter(m_shadowProgramParam_cubeMapTransform[i], lightProjTrafo * lightViewTrafo);
m_shadowProgram->setParameter(m_shadowProgramParam_depthVec[i], Vector4(
-viewMatrix.m[2][0] * m_invClipRange,
-viewMatrix.m[2][1] * m_invClipRange,
-viewMatrix.m[2][2] * m_invClipRange,
(-viewMatrix.m[2][3] - m_nearClip) * m_invClipRange
));
}
m_renderer->drawAll(m_drawList);
} catch (const std::exception &ex) {
m_shadowProgram->unbind();
throw ex;
}
m_shadowProgram->unbind();
} else {
/* Old-fashioned: render 6 times, once for each cube map face */
m_altShadowProgram->bind();
try {
for (int i=0; i<6; ++i) {
switch (i) {
case 0: lightViewTrafo = Transform::lookAt(p, p + Vector(1, 0, 0), Vector(0, 1, 0)).inverse(); break;
case 1: lightViewTrafo = Transform::lookAt(p, p + Vector(-1, 0, 0), Vector(0, 1, 0)).inverse(); break;
case 2: lightViewTrafo = Transform::lookAt(p, p + Vector(0, 1, 0), Vector(0, 0, -1)).inverse(); break;
case 3: lightViewTrafo = Transform::lookAt(p, p + Vector(0, -1, 0), Vector(0, 0, 1)).inverse(); break;
case 4: lightViewTrafo = Transform::lookAt(p, p + Vector(0, 0, 1), Vector(0, 1, 0)).inverse(); break;
case 5: lightViewTrafo = Transform::lookAt(p, p + Vector(0, 0, -1), Vector(0, 1, 0)).inverse(); break;
}
lightViewTrafo = Transform::scale(Vector(-1, 1, 1)) * lightViewTrafo;
const Matrix4x4 &viewMatrix = lightViewTrafo.getMatrix();
m_altShadowProgram->setParameter(m_altShadowProgramParam_cubeMapTransform, lightProjTrafo * lightViewTrafo);
m_altShadowProgram->setParameter(m_altShadowProgramParam_depthVec, Vector4(
-viewMatrix.m[2][0] * m_invClipRange,
-viewMatrix.m[2][1] * m_invClipRange,
-viewMatrix.m[2][2] * m_invClipRange,
(-viewMatrix.m[2][3] - m_nearClip) * m_invClipRange
));
m_shadowMap->activateSide(i);
m_shadowMap->clear();
m_renderer->drawAll(m_drawList);
}
} catch (std::exception &ex) {
m_altShadowProgram->unbind();
throw ex;
}
m_altShadowProgram->unbind();
}
m_shadowMap->releaseTarget();
}
Float sample(PhaseFunctionQueryRecord &pRec,
Float &pdf, Sampler *sampler) const {
pRec.wo = squareToSphere(sampler->next2D());
pdf = 1/(4 * M_PI);
return f(pRec);
}
Spectrum sampleEmissionDirection(EmissionRecord &eRec, const Point2 &sample) const {
eRec.d = squareToSphere(sample);
eRec.pdfDir = 1.0f / (4 * M_PI);
return Spectrum(1.0f / (4*M_PI));
}