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-/**
- @file GCamera.cpp
-
- @author Morgan McGuire, matrix@graphics3d.com
- @author Jeff Marsceill, 08jcm@williams.edu
-
- @created 2005-07-20
- @edited 2007-07-24
-*/
-#include "G3D/GCamera.h"
-#include "G3D/platform.h"
-#include "G3D/Rect2D.h"
-#include "G3D/BinaryInput.h"
-#include "G3D/BinaryOutput.h"
-#include "G3D/Ray.h"
-#include "G3D/Matrix4.h"
-
-namespace G3D {
-
-GCamera::GCamera() {
- setNearPlaneZ(-0.1f);
- setFarPlaneZ(-(float)inf());
- setFieldOfView((float)toRadians(55.0f), VERTICAL);
-}
-
-
-GCamera::~GCamera() {
-}
-
-void GCamera::getCoordinateFrame(CoordinateFrame& c) const {
- c = m_cframe;
-}
-
-void GCamera::setCoordinateFrame(const CoordinateFrame& c) {
- m_cframe = c;
-}
-
-void GCamera::setFieldOfView(float angle, FOVDirection dir) {
- debugAssert((angle < pi()) && (angle > 0));
-
- m_fieldOfView = angle;
- m_direction = dir;
-}
-
-float GCamera::imagePlaneDepth() const{
- return -m_nearPlaneZ;
-}
-
-float GCamera::viewportWidth(const Rect2D& viewport) const {
- // Compute the side of a square at the near plane based on our field of view
- float s = 2.0f * -m_nearPlaneZ * tan(m_fieldOfView * 0.5f);
-
- if (m_direction == VERTICAL) {
- s *= viewport.width() / viewport.height();
- }
-
- return s;
-}
-
-float GCamera::viewportHeight(const Rect2D& viewport) const {
- // Compute the side of a square at the near plane based on our field of view
- float s = 2.0f * -m_nearPlaneZ * tan(m_fieldOfView * 0.5f);
-
- if (m_direction == HORIZONTAL) {
- s *= viewport.height() / viewport.width();
- }
-
- return s;
-}
-
-Ray GCamera::worldRay(float x, float y, const Rect2D& viewport) const {
-
- int screenWidth = iFloor(viewport.width());
- int screenHeight = iFloor(viewport.height());
-
- Ray out;
- out.origin = m_cframe.translation;
-
- float cx = screenWidth / 2.0f;
- float cy = screenHeight / 2.0f;
-
- out.direction = Vector3( (x - cx) * viewportWidth(viewport) / screenWidth,
- -(y - cy) * viewportHeight(viewport) / screenHeight,
- (m_nearPlaneZ) );
-
- out.direction = m_cframe.vectorToWorldSpace(out.direction);
-
- // Normalize the direction (we didn't do it before)
- out.direction = out.direction.direction();
-
- return out;
-}
-
-/**
-This is the matrix that a RenderDevice (or OpenGL) uses as the projection matrix.
-@sa RenderDevice::setProjectionAndCameraMatrix, RenderDevice::setProjectionMatrix, Matrix4::perspectiveProjection
-*/
-void GCamera::getProjectUnitMatrix(const Rect2D& viewport, Matrix4& P) const{
-
- float screenWidth = viewport.width();
- float screenHeight = viewport.height();
-
- float r, l, t, b, n, f, x, y;
-
- if(m_direction == VERTICAL){
- y = -m_nearPlaneZ * tan(m_fieldOfView / 2);
- x = y * (screenWidth / screenHeight);
- }
- else{ //m_direction == HORIZONTAL
- x = -m_nearPlaneZ * tan(m_fieldOfView / 2);
- y = x * (screenHeight / screenWidth);
- }
-
- n = -m_nearPlaneZ;
- f = -m_farPlaneZ;
- r = x;
- l = -x;
- t = y;
- b = -y;
-
- P = Matrix4::perspectiveProjection(l, r, b, t, n, f);
-}
-
-Vector3 GCamera::projectUnit(const Vector3& point, const Rect2D& viewport) const {
- Matrix4 M;
- getProjectUnitMatrix(viewport, M);
-
- Vector4 cameraSpacePoint(coordinateFrame().pointToObjectSpace(point), 1.0f);
- const Vector4& screenSpacePoint = M * cameraSpacePoint;
-
- return Vector3(screenSpacePoint.xyz() / screenSpacePoint.w);
-}
-
-Vector3 GCamera::project(const Vector3& point,
- const Rect2D& viewport) const {
-
- // Find the point in the homogeneous cube
- const Vector3& cube = projectUnit(point, viewport);
-
- return convertFromUnitToNormal(cube, viewport);
-}
-
-Vector3 GCamera::unprojectUnit(const Vector3& v, const Rect2D& viewport) const {
-
- const Vector3& projectedPoint = convertFromUnitToNormal(v, viewport);
-
- return unproject(projectedPoint, viewport);
-}
-
-
-Vector3 GCamera::unproject(const Vector3& v, const Rect2D& viewport) const {
-
- const float n = m_nearPlaneZ;
- const float f = m_farPlaneZ;
-
- float z;
-
- if (-f >= inf()) {
- // Infinite far plane
- z = 1.0f / (((-1.0f / n) * v.z) + 1.0f / n);
- } else {
- z = 1.0f / ((((1.0f / f) - (1.0f / n)) * v.z) + 1.0f / n);
- }
-
- const Ray& ray = worldRay(v.x, v.y, viewport);
-
- // Find out where the ray reaches the specified depth.
- const Vector3& out = ray.origin + ray.direction * -z / (ray.direction.dot(m_cframe.lookVector()));
-
- return out;
-}
-
-float GCamera::worldToScreenSpaceArea(float area, float z, const Rect2D& viewport) const {
- if (z >= 0) {
- return (float)inf();
- }
- return area * (float)square(imagePlaneDepth() / z);
-}
-
-
-void GCamera::getClipPlanes(
- const Rect2D& viewport,
- Array<Plane>& clip) const {
-
- Frustum fr;
- frustum(viewport, fr);
- clip.resize(fr.faceArray.size(), DONT_SHRINK_UNDERLYING_ARRAY);
- for (int f = 0; f < clip.size(); ++f) {
- clip[f] = fr.faceArray[f].plane;
- }
-}
-
-GCamera::Frustum GCamera::frustum(const Rect2D& viewport) const {
- Frustum f;
- frustum(viewport, f);
- return f;
-}
-
-void GCamera::frustum(const Rect2D& viewport, Frustum& fr) const {
-
- // The volume is the convex hull of the vertices definining the view
- // frustum and the light source point at infinity.
-
- const float x = viewportWidth(viewport) / 2;
- const float y = viewportHeight(viewport) / 2;
- const float z = m_nearPlaneZ;
- const float w = z / -m_farPlaneZ;
- float fovx;
-
- fovx = m_fieldOfView;
- if (m_direction == VERTICAL) {
- fovx *= x / y;
- }
-
- // Near face (ccw from UR)
- fr.vertexPos.append(
- Vector4( x, y, z, 1),
- Vector4(-x, y, z, 1),
- Vector4(-x, -y, z, 1),
- Vector4( x, -y, z, 1));
-
- // Far face (ccw from UR, from origin)
- fr.vertexPos.append(
- Vector4( x, y, z, w),
- Vector4(-x, y, z, w),
- Vector4(-x, -y, z, w),
- Vector4( x, -y, z, w));
-
- Frustum::Face face;
-
- // Near plane (wind backwards so normal faces into frustum)
- // Recall that nearPlane, farPlane are positive numbers, so
- // we need to negate them to produce actual z values.
- face.plane = Plane(Vector3(0,0,-1), Vector3(0,0,m_nearPlaneZ));
- face.vertexIndex[0] = 3;
- face.vertexIndex[1] = 2;
- face.vertexIndex[2] = 1;
- face.vertexIndex[3] = 0;
- fr.faceArray.append(face);
-
- // Right plane
- face.plane = Plane(Vector3(-cosf(fovx/2), 0, -sinf(fovx/2)), Vector3::zero());
- face.vertexIndex[0] = 0;
- face.vertexIndex[1] = 4;
- face.vertexIndex[2] = 7;
- face.vertexIndex[3] = 3;
- fr.faceArray.append(face);
-
- // Left plane
- face.plane = Plane(Vector3(-fr.faceArray.last().plane.normal().x, 0, fr.faceArray.last().plane.normal().z), Vector3::zero());
- face.vertexIndex[0] = 5;
- face.vertexIndex[1] = 1;
- face.vertexIndex[2] = 2;
- face.vertexIndex[3] = 6;
- fr.faceArray.append(face);
-
- // Top plane
- face.plane = Plane(Vector3(0, -cosf(m_fieldOfView/2.0f), -sinf(m_fieldOfView/2.0f)), Vector3::zero());
- face.vertexIndex[0] = 1;
- face.vertexIndex[1] = 5;
- face.vertexIndex[2] = 4;
- face.vertexIndex[3] = 0;
- fr.faceArray.append(face);
-
- // Bottom plane
- face.plane = Plane(Vector3(0, -fr.faceArray.last().plane.normal().y, fr.faceArray.last().plane.normal().z), Vector3::zero());
- face.vertexIndex[0] = 2;
- face.vertexIndex[1] = 3;
- face.vertexIndex[2] = 7;
- face.vertexIndex[3] = 6;
- fr.faceArray.append(face);
-
- // Far plane
- if (-m_farPlaneZ < inf()) {
- face.plane = Plane(Vector3(0, 0, 1), Vector3(0, 0, m_farPlaneZ));
- face.vertexIndex[0] = 4;
- face.vertexIndex[1] = 5;
- face.vertexIndex[2] = 6;
- face.vertexIndex[3] = 7;
- fr.faceArray.append(face);
- }
-
- // Transform vertices to world space
- for (int v = 0; v < fr.vertexPos.size(); ++v) {
- fr.vertexPos[v] = m_cframe.toWorldSpace(fr.vertexPos[v]);
- }
-
- // Transform planes to world space
- for (int p = 0; p < fr.faceArray.size(); ++p) {
- // Since there is no scale factor, we don't have to
- // worry about the inverse transpose of the normal.
- Vector3 normal;
- float d;
-
- fr.faceArray[p].plane.getEquation(normal, d);
-
- Vector3 newNormal = m_cframe.rotation * normal;
-
- if (isFinite(d)) {
- d = (newNormal * -d + m_cframe.translation).dot(newNormal);
- fr.faceArray[p].plane = Plane(newNormal, newNormal * d);
- } else {
- // When d is infinite, we can't multiply 0's by it without
- // generating NaNs.
- fr.faceArray[p].plane = Plane::fromEquation(newNormal.x, newNormal.y, newNormal.z, d);
- }
- }
-}
-
-void GCamera::getNearViewportCorners(
- const Rect2D& viewport,
- Vector3& outUR,
- Vector3& outUL,
- Vector3& outLL,
- Vector3& outLR) const {
-
- // Must be kept in sync with getFrustum()
- const float w = viewportWidth(viewport) / 2.0f;
- const float h = viewportHeight(viewport) / 2.0f;
- const float z = nearPlaneZ();
-
- // Compute the points
- outUR = Vector3( w, h, z);
- outUL = Vector3(-w, h, z);
- outLL = Vector3(-w, -h, z);
- outLR = Vector3( w, -h, z);
-
- // Take to world space
- outUR = m_cframe.pointToWorldSpace(outUR);
- outUL = m_cframe.pointToWorldSpace(outUL);
- outLR = m_cframe.pointToWorldSpace(outLR);
- outLL = m_cframe.pointToWorldSpace(outLL);
-}
-
-void GCamera::getFarViewportCorners(
- const Rect2D& viewport,
- Vector3& outUR,
- Vector3& outUL,
- Vector3& outLL,
- Vector3& outLR) const {
-
- // Must be kept in sync with getFrustum()
- const float w = viewportWidth(viewport) * m_farPlaneZ / m_nearPlaneZ;
- const float h = viewportHeight(viewport) * m_farPlaneZ / m_nearPlaneZ;
- const float z = m_farPlaneZ;
-
- // Compute the points
- outUR = Vector3( w, h, z);
- outUL = Vector3(-w, h, z);
- outLL = Vector3(-w, -h, z);
- outLR = Vector3( w, -h, z);
-
- // Take to world space
- outUR = m_cframe.pointToWorldSpace(outUR);
- outUL = m_cframe.pointToWorldSpace(outUL);
- outLR = m_cframe.pointToWorldSpace(outLR);
- outLL = m_cframe.pointToWorldSpace(outLL);
-}
-
-
-
-void GCamera::setPosition(const Vector3& t) {
- m_cframe.translation = t;
-}
-
-
-void GCamera::lookAt(const Vector3& position, const Vector3& up) {
- m_cframe.lookAt(position, up);
-}
-
-
-void GCamera::serialize(BinaryOutput& bo) const {
- bo.writeFloat32(m_fieldOfView);
- bo.writeFloat32(imagePlaneDepth());
- debugAssert(nearPlaneZ() < 0.0f);
- bo.writeFloat32(nearPlaneZ());
- debugAssert(farPlaneZ() < 0.0f);
- bo.writeFloat32(farPlaneZ());
- m_cframe.serialize(bo);
- bo.writeInt8(m_direction);
-}
-
-
-void GCamera::deserialize(BinaryInput& bi) {
- m_fieldOfView = bi.readFloat32();
- m_nearPlaneZ = bi.readFloat32();
- debugAssert(m_nearPlaneZ < 0.0f);
- m_farPlaneZ = bi.readFloat32();
- debugAssert(m_farPlaneZ < 0.0f);
- m_cframe.deserialize(bi);
- m_direction = (FOVDirection)bi.readInt8();
-}
-
-
-Vector3 GCamera::convertFromUnitToNormal(const Vector3& in, const Rect2D& viewport) const{
- return (in + Vector3(1,1,1)) * 0.5 * Vector3(viewport.width(), -viewport.height(), 1) +
- Vector3(viewport.x0(), viewport.y1(), 0);
-}
-} // namespace