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SUBSYSTEM: nGenEx.lib FILE: Projector.cpp AUTHOR: John DiCamillo OVERVIEW ======== 3D Projection Camera class */ #ifndef NOMINMAX #define NOMINMAX #endif #include #include "MemDebug.h" #include "Projector.h" // +--------------------------------------------------------------------+ static const float CLIP_PLANE_EPSILON = 0.0001f; static const double Z_NEAR = 1.0; void Print(const char* fmt, ...); // +--------------------------------------------------------------------+ static Camera emergency_cam; // +--------------------------------------------------------------------+ Projector::Projector(Window* window, Camera* cam) : camera(cam), infinite(0), depth_scale(1.0f), orthogonal(false), field_of_view(2) { if (!camera) camera = &emergency_cam; UseWindow(window); } Projector::~Projector() { } // +--------------------------------------------------------------------+ void Projector::UseCamera(Camera* cam) { if (cam) camera = cam; else camera = &emergency_cam; } void Projector::UseWindow(Window* win) { Rect r = win->GetRect(); width = r.w; height = r.h; xcenter = (width / 2.0); ycenter = (height / 2.0); xclip0 = 0.0f; xclip1 = (float) width-0.5f; yclip0 = 0.0f; yclip1 = (float) height-0.5f; SetFieldOfView(field_of_view); } void Projector::SetFieldOfView(double fov) { field_of_view = fov; xscreenscale = width / fov; yscreenscale = height / fov; maxscale = std::max(xscreenscale, yscreenscale); xangle = atan(2.0/fov * maxscale/xscreenscale); yangle = atan(2.0/fov * maxscale/yscreenscale); } double Projector::GetFieldOfView() const { return field_of_view; } void Projector::SetDepthScale(float scale) { depth_scale = scale; } double Projector::GetDepthScale() const { return depth_scale; } int Projector::SetInfinite(int i) { int old = infinite; infinite = i; return old; } // +--------------------------------------------------------------------+ void Projector::StartFrame() { SetUpFrustum(); SetWorldSpace(); } // +--------------------------------------------------------------------+ // Transform a point from worldspace to viewspace. // +--------------------------------------------------------------------+ void Projector::Transform(Vec3& vec) const { Vec3 tvert = vec; // Translate into a viewpoint-relative coordinate if (!infinite) tvert -= camera->Pos(); // old method: vec.x = (tvert * camera->vrt()); vec.y = (tvert * camera->vup()); vec.z = (tvert * camera->vpn()); // Rotate into the view orientation // vec = tvert * camera->Orientation(); } // +--------------------------------------------------------------------+ // Transform a point from worldspace to viewspace. // +--------------------------------------------------------------------+ void Projector::Transform(Point& point) const { Point tvert = point; // Translate into a viewpoint-relative coordinate if (!infinite) tvert -= camera->Pos(); // old method: point.x = (tvert * camera->vrt()); point.y = (tvert * camera->vup()); point.z = (tvert * camera->vpn()); // Rotate into the view orientation // point = tvert * camera->Orientation(); } // +--------------------------------------------------------------------+ // APPARENT RADIUS OF PROJECTED OBJECT // Project a viewspace point into screen coordinates. // Use projected Z to determine apparent radius of object. // +--------------------------------------------------------------------+ float Projector::ProjectRadius(const Vec3& v, float radius) const { return (float) fabs((radius * maxscale) / v.z); } // +--------------------------------------------------------------------+ // IN PLACE PROJECTION OF POINT // Project a viewspace point into screen coordinates. // Note that the y axis goes up in worldspace and viewspace, but // goes down in screenspace. // +--------------------------------------------------------------------+ void Projector::Project(Vec3& v, bool clamp) const { double zrecip; if (orthogonal) { double scale = field_of_view/2; v.x = (float) (xcenter + scale * v.x); v.y = (float) (height - (ycenter + scale * v.y)); v.z = (float) (0.0f); } else { //zrecip = 2 * (1.0e5 / (1.0e5-1)) / v.z; //zrecip = 2 * 0.97 / v.z; -- what the heck was this version used for? zrecip = 2 / v.z; v.x = (float) (xcenter + maxscale * v.x * zrecip); v.y = (float) (height - (ycenter + maxscale * v.y * zrecip)); v.z = (float) (1 - zrecip); } // clamp the point to the viewport: if (clamp) { if (v.x < xclip0) v.x = xclip0; if (v.x > xclip1) v.x = xclip1; if (v.y < yclip0) v.y = yclip0; if (v.y > yclip1) v.y = yclip1; } } // +--------------------------------------------------------------------+ // IN PLACE PROJECTION OF POINT // Project a viewspace point into screen coordinates. // Note that the y axis goes up in worldspace and viewspace, but // goes down in screenspace. // +--------------------------------------------------------------------+ void Projector::Project(Point& v, bool clamp) const { double zrecip; if (orthogonal) { double scale = field_of_view/2; v.x = (xcenter + scale * v.x); v.y = (height - (ycenter + scale * v.y)); v.z = 0; } else { zrecip = 1 / v.z; v.x = (xcenter + 2 * maxscale * v.x * zrecip); v.y = (height - (ycenter + 2 * maxscale * v.y * zrecip)); v.z = (1 - zrecip); } // clamp the point to the viewport: if (clamp) { if (v.x < xclip0) v.x = xclip0; if (v.x > xclip1) v.x = xclip1; if (v.y < yclip0) v.y = yclip0; if (v.y > yclip1) v.y = yclip1; } } // +--------------------------------------------------------------------+ // IN PLACE UN-PROJECTION OF POINT // Convert a point in screen coordinates back to viewspace. // Note that the y axis goes up in worldspace and viewspace, but // goes down in screenspace. // +--------------------------------------------------------------------+ void Projector::Unproject(Point& v) const { double zrecip = 1 / v.z; /*** * forward projection: v.x = (xcenter + maxscale * v.x * zrecip); v.y = (height - (ycenter + maxscale * v.y * zrecip)); v.z = (1 - zrecip); ***/ v.x = ( v.x - xcenter) / (maxscale * zrecip); v.y = (height - v.y - ycenter) / (maxscale * zrecip); } // +--------------------------------------------------------------------+ // IN PLACE PROJECTION OF RECTANGLE (FOR SPRITES) // Project a viewspace point into screen coordinates. // Note that the y axis goes up in worldspace and viewspace, but // goes down in screenspace. // +--------------------------------------------------------------------+ void Projector::ProjectRect(Point& v, double& w, double& h) const { double zrecip; if (orthogonal) { double scale = field_of_view/2; v.x = (xcenter + scale * v.x); v.y = (height - (ycenter + scale * v.y)); v.z = 0; } else { zrecip = 1 / v.z; v.x = (xcenter + 2 * maxscale * v.x * zrecip); v.y = (height - (ycenter + 2 * maxscale * v.y * zrecip)); v.z = (1 - Z_NEAR*zrecip); w *= maxscale * zrecip; h *= maxscale * zrecip; } } // +--------------------------------------------------------------------+ // Set up a clip plane with the specified normal. // +--------------------------------------------------------------------+ void Projector::SetWorldspaceClipPlane(Vec3& normal, Plane& plane) { // Rotate the plane normal into worldspace ViewToWorld(normal, plane.normal); plane.distance = (float) (camera->Pos() * plane.normal + CLIP_PLANE_EPSILON); } // +--------------------------------------------------------------------+ // Set up the planes of the frustum, in worldspace coordinates. // +--------------------------------------------------------------------+ void Projector::SetUpFrustum() { double angle, s, c; Vec3 normal; angle = XAngle(); s = sin(angle); c = cos(angle); // Left clip plane normal.x = (float) s; normal.y = (float) 0; normal.z = (float) c; view_planes[0].normal = normal; view_planes[0].distance = CLIP_PLANE_EPSILON; SetWorldspaceClipPlane(normal, world_planes[0]); // Right clip plane normal.x = (float) -s; view_planes[1].normal = normal; view_planes[1].distance = CLIP_PLANE_EPSILON; SetWorldspaceClipPlane(normal, world_planes[1]); angle = YAngle(); s = sin(angle); c = cos(angle); // Bottom clip plane normal.x = (float) 0; normal.y = (float) s; normal.z = (float) c; view_planes[2].normal = normal; view_planes[2].distance = CLIP_PLANE_EPSILON; SetWorldspaceClipPlane(normal, world_planes[2]); // Top clip plane normal.y = (float) -s; view_planes[3].normal = normal; view_planes[3].distance = CLIP_PLANE_EPSILON; SetWorldspaceClipPlane(normal, world_planes[3]); } // +--------------------------------------------------------------------+ // Clip the point against the frustum and return 1 if partially inside // Return 2 if completely inside // +--------------------------------------------------------------------+ int Projector::IsVisible(const Vec3& v, float radius) const { int visible = 1; int complete = 1; Plane* plane = (Plane*) frustum_planes; if (infinite) { complete = 0; for (int i = 0; visible && (i < NUM_FRUSTUM_PLANES); i++) { visible = ((v * plane->normal) >= CLIP_PLANE_EPSILON); plane++; } } else { for (int i = 0; visible && (i < NUM_FRUSTUM_PLANES); i++) { float dot = v * plane->normal; visible = ((dot + radius) >= plane->distance); complete = complete && ((dot - radius) >= plane->distance); plane++; } } return visible + complete; } // +--------------------------------------------------------------------+ // Clip the bouding point against the frustum and return non zero // if at least partially inside. This version is not terribly // efficient as it checks all eight box corners rather than just // the minimum two. // +--------------------------------------------------------------------+ int Projector::IsBoxVisible(const Point* p) const { int i, j, outside = 0; // if all eight corners are outside of the same // frustrum plane, then the box is not visible Plane* plane = (Plane*) frustum_planes; if (infinite) { for (i = 0; !outside && (i < NUM_FRUSTUM_PLANES); i++) { for (j = 0; j < 8; j++) outside += (p[j] * plane->normal) < CLIP_PLANE_EPSILON; if (outside < 8) outside = 0; plane++; } } else { for (i = 0; !outside && (i < NUM_FRUSTUM_PLANES); i++) { for (j = 0; j < 8; j++) outside += (p[j] * plane->normal) < plane->distance; if (outside < 8) outside = 0; plane++; } } // if not outside, then the box is visible return !outside; } // +--------------------------------------------------------------------+ float Projector::ApparentRadius(const Vec3& v, float radius) const { Vec3 vloc = v; Transform(vloc); // transform in place return ProjectRadius(vloc, radius); } // +--------------------------------------------------------------------+ // Rotate a vector from viewspace to worldspace. // +--------------------------------------------------------------------+ void Projector::ViewToWorld(Point& pin, Point& pout) { // Rotate into the world orientation pout.x = pin.x * camera->vrt().x + pin.y * camera->vup().x + pin.z * camera->vpn().x; pout.y = pin.x * camera->vrt().y + pin.y * camera->vup().y + pin.z * camera->vpn().y; pout.z = pin.x * camera->vrt().z + pin.y * camera->vup().z + pin.z * camera->vpn().z; } void Projector::ViewToWorld(Vec3& vin, Vec3& vout) { // Rotate into the world orientation vout.x = (float) (vin.x * camera->vrt().x + vin.y * camera->vup().x + vin.z * camera->vpn().x); vout.y = (float) (vin.x * camera->vrt().y + vin.y * camera->vup().y + vin.z * camera->vpn().y); vout.z = (float) (vin.x * camera->vrt().z + vin.y * camera->vup().z + vin.z * camera->vpn().z); }