421 lines
12 KiB
C++
421 lines
12 KiB
C++
#include <mbgl/map/transform_state.hpp>
|
|
#include <mbgl/map/tile_id.hpp>
|
|
#include <mbgl/util/constants.hpp>
|
|
#include <mbgl/util/box.hpp>
|
|
#include <mbgl/util/tile_coordinate.hpp>
|
|
#include <mbgl/util/interpolate.hpp>
|
|
#include <mbgl/util/math.hpp>
|
|
|
|
using namespace mbgl;
|
|
|
|
TransformState::TransformState(ConstrainMode constrainMode_)
|
|
: constrainMode(constrainMode_)
|
|
{
|
|
}
|
|
|
|
#pragma mark - Matrix
|
|
|
|
void TransformState::matrixFor(mat4& matrix, const TileID& id, const int8_t z) const {
|
|
const double tile_scale = std::pow(2, z);
|
|
double s = util::tileSize * scale / tile_scale;
|
|
|
|
matrix::identity(matrix);
|
|
matrix::translate(matrix, matrix, id.x * s, id.y * s, 0);
|
|
matrix::scale(matrix, matrix, s / util::EXTENT, s / util::EXTENT, 1);
|
|
}
|
|
|
|
void TransformState::getProjMatrix(mat4& projMatrix) const {
|
|
double halfFov = std::atan(0.5 / getAltitude());
|
|
double topHalfSurfaceDistance = std::sin(halfFov) * getAltitude() /
|
|
std::sin(M_PI / 2.0f - getPitch() - halfFov);
|
|
// Calculate z value of the farthest fragment that should be rendered.
|
|
double farZ = std::cos(M_PI / 2.0f - getPitch()) * topHalfSurfaceDistance + getAltitude();
|
|
|
|
matrix::perspective(projMatrix, 2.0f * std::atan((getHeight() / 2.0f) / getAltitude()),
|
|
double(getWidth()) / getHeight(), 0.1, farZ);
|
|
|
|
matrix::translate(projMatrix, projMatrix, 0, 0, -getAltitude());
|
|
|
|
// After the rotateX, z values are in pixel units. Convert them to
|
|
// altitude unites. 1 altitude unit = the screen height.
|
|
matrix::scale(projMatrix, projMatrix, 1, -1, 1.0f / (rotatedNorth() ? getWidth() : getHeight()));
|
|
|
|
using NO = NorthOrientation;
|
|
switch (getNorthOrientation()) {
|
|
case NO::Rightwards: matrix::rotate_y(projMatrix, projMatrix, getPitch()); break;
|
|
case NO::Downwards: matrix::rotate_x(projMatrix, projMatrix, -getPitch()); break;
|
|
case NO::Leftwards: matrix::rotate_y(projMatrix, projMatrix, -getPitch()); break;
|
|
default: matrix::rotate_x(projMatrix, projMatrix, getPitch()); break;
|
|
}
|
|
|
|
matrix::rotate_z(projMatrix, projMatrix, getAngle() + getNorthOrientationAngle());
|
|
|
|
matrix::translate(projMatrix, projMatrix, pixel_x() - getWidth() / 2.0f,
|
|
pixel_y() - getHeight() / 2.0f, 0);
|
|
}
|
|
|
|
box TransformState::cornersToBox(uint32_t z) const {
|
|
double w = width;
|
|
double h = height;
|
|
box b(
|
|
pointToCoordinate({ 0, 0 }).zoomTo(z),
|
|
pointToCoordinate({ w, 0 }).zoomTo(z),
|
|
pointToCoordinate({ w, h }).zoomTo(z),
|
|
pointToCoordinate({ 0, h }).zoomTo(z));
|
|
return b;
|
|
}
|
|
|
|
|
|
#pragma mark - Dimensions
|
|
|
|
uint16_t TransformState::getWidth() const {
|
|
return width;
|
|
}
|
|
|
|
uint16_t TransformState::getHeight() const {
|
|
return height;
|
|
}
|
|
|
|
#pragma mark - North Orientation
|
|
|
|
NorthOrientation TransformState::getNorthOrientation() const {
|
|
return orientation;
|
|
}
|
|
|
|
double TransformState::getNorthOrientationAngle() const {
|
|
double angleOrientation = 0;
|
|
if (orientation == NorthOrientation::Rightwards) {
|
|
angleOrientation += M_PI / 2.0f;
|
|
} else if (orientation == NorthOrientation::Downwards) {
|
|
angleOrientation += M_PI;
|
|
} else if (orientation == NorthOrientation::Leftwards) {
|
|
angleOrientation -= M_PI / 2.0f;
|
|
}
|
|
return angleOrientation;
|
|
}
|
|
|
|
#pragma mark - Position
|
|
|
|
LatLng TransformState::getLatLng() const {
|
|
LatLng ll;
|
|
|
|
ll.longitude = -x / Bc;
|
|
ll.latitude = util::RAD2DEG * (2 * std::atan(std::exp(y / Cc)) - 0.5 * M_PI);
|
|
|
|
// adjust for world wrap
|
|
while (ll.longitude > 180) ll.longitude -= 180;
|
|
while (ll.longitude < -180) ll.longitude += 180;
|
|
|
|
// adjust for date line
|
|
double w = util::tileSize * scale / 2;
|
|
double x_ = x;
|
|
if (x_ > w) {
|
|
while (x_ > w) {
|
|
x_ -= w;
|
|
if (ll.longitude < 0) {
|
|
ll.longitude += 180;
|
|
} else if (ll.longitude > 0) {
|
|
ll.longitude -= 180;
|
|
}
|
|
}
|
|
} else if (x_ < -w) {
|
|
while (x_ < -w) {
|
|
x_ += w;
|
|
if (ll.longitude < 0) {
|
|
ll.longitude -= 180;
|
|
} else if (ll.longitude > 0) {
|
|
ll.longitude -= 180;
|
|
}
|
|
}
|
|
}
|
|
|
|
return ll;
|
|
}
|
|
|
|
double TransformState::pixel_x() const {
|
|
const double center = (width - scale * util::tileSize) / 2;
|
|
return center + x;
|
|
}
|
|
|
|
double TransformState::pixel_y() const {
|
|
const double center = (height - scale * util::tileSize) / 2;
|
|
return center + y;
|
|
}
|
|
|
|
#pragma mark - Zoom
|
|
|
|
double TransformState::getZoom() const {
|
|
return std::log(scale) / M_LN2;
|
|
}
|
|
|
|
int32_t TransformState::getIntegerZoom() const {
|
|
return std::floor(getZoom());
|
|
}
|
|
|
|
double TransformState::getZoomFraction() const {
|
|
return getZoom() - getIntegerZoom();
|
|
}
|
|
|
|
double TransformState::getScale() const {
|
|
return scale;
|
|
}
|
|
|
|
void TransformState::setMinZoom(const double minZoom) {
|
|
if (minZoom <= getMaxZoom()) {
|
|
min_scale = zoomScale(util::clamp(minZoom, util::MIN_ZOOM, util::MAX_ZOOM));
|
|
}
|
|
}
|
|
|
|
double TransformState::getMinZoom() const {
|
|
double test_scale = min_scale;
|
|
double unused_x = x;
|
|
double unused_y = y;
|
|
constrain(test_scale, unused_x, unused_y);
|
|
|
|
return scaleZoom(test_scale);
|
|
}
|
|
|
|
void TransformState::setMaxZoom(const double maxZoom) {
|
|
if (maxZoom >= getMinZoom()) {
|
|
max_scale = zoomScale(util::clamp(maxZoom, util::MIN_ZOOM, util::MAX_ZOOM));
|
|
}
|
|
}
|
|
|
|
double TransformState::getMaxZoom() const {
|
|
return scaleZoom(max_scale);
|
|
}
|
|
|
|
|
|
#pragma mark - Rotation
|
|
|
|
float TransformState::getAngle() const {
|
|
return angle;
|
|
}
|
|
|
|
float TransformState::getAltitude() const {
|
|
return altitude;
|
|
}
|
|
|
|
float TransformState::getPitch() const {
|
|
return pitch;
|
|
}
|
|
|
|
|
|
#pragma mark - State
|
|
|
|
bool TransformState::isChanging() const {
|
|
return rotating || scaling || panning || gestureInProgress;
|
|
}
|
|
|
|
bool TransformState::isRotating() const {
|
|
return rotating;
|
|
}
|
|
|
|
bool TransformState::isScaling() const {
|
|
return scaling;
|
|
}
|
|
|
|
bool TransformState::isPanning() const {
|
|
return panning;
|
|
}
|
|
|
|
bool TransformState::isGestureInProgress() const {
|
|
return gestureInProgress;
|
|
}
|
|
|
|
|
|
#pragma mark - Projection
|
|
|
|
double TransformState::lngX(double lng) const {
|
|
return (180.0f + lng) * worldSize() / 360.0f;
|
|
}
|
|
|
|
double TransformState::latY(double lat) const {
|
|
double y_ = 180.0f / M_PI * std::log(std::tan(M_PI / 4 + lat * M_PI / 360.0f));
|
|
return (180.0f - y_) * worldSize() / 360.0f;
|
|
}
|
|
|
|
double TransformState::xLng(double x_, double worldSize_) const {
|
|
return x_ * 360.0f / worldSize_ - 180.0f;
|
|
}
|
|
|
|
double TransformState::yLat(double y_, double worldSize_) const {
|
|
double y2 = 180.0f - y_ * 360.0f / worldSize_;
|
|
return 360.0f / M_PI * std::atan(std::exp(y2 * M_PI / 180.0f)) - 90.0f;
|
|
}
|
|
|
|
double TransformState::zoomScale(double zoom) const {
|
|
return std::pow(2.0f, zoom);
|
|
}
|
|
|
|
double TransformState::scaleZoom(double s) const {
|
|
return ::log2(s);
|
|
}
|
|
|
|
double TransformState::worldSize() const {
|
|
return scale * util::tileSize;
|
|
}
|
|
|
|
PrecisionPoint TransformState::latLngToPoint(const LatLng& latLng) const {
|
|
return coordinateToPoint(latLngToCoordinate(latLng));
|
|
}
|
|
|
|
LatLng TransformState::pointToLatLng(const PrecisionPoint& point) const {
|
|
return coordinateToLatLng(pointToCoordinate(point));
|
|
}
|
|
|
|
TileCoordinate TransformState::latLngToCoordinate(const LatLng& latLng) const {
|
|
return {
|
|
lngX(latLng.longitude) / util::tileSize,
|
|
latY(latLng.latitude) / util::tileSize,
|
|
getZoom()
|
|
};
|
|
}
|
|
|
|
LatLng TransformState::coordinateToLatLng(const TileCoordinate& coord) const {
|
|
const double worldSize_ = zoomScale(coord.zoom);
|
|
LatLng latLng = {
|
|
yLat(coord.row, worldSize_),
|
|
xLng(coord.column, worldSize_)
|
|
};
|
|
while (latLng.longitude < -180.0f) latLng.longitude += 360.0f;
|
|
while (latLng.longitude > 180.0f) latLng.longitude -= 360.0f;
|
|
return latLng;
|
|
}
|
|
|
|
PrecisionPoint TransformState::coordinateToPoint(const TileCoordinate& coord) const {
|
|
mat4 mat = coordinatePointMatrix(coord.zoom);
|
|
matrix::vec4 p;
|
|
matrix::vec4 c = {{ coord.column, coord.row, 0, 1 }};
|
|
matrix::transformMat4(p, c, mat);
|
|
return { p[0] / p[3], height - p[1] / p[3] };
|
|
}
|
|
|
|
TileCoordinate TransformState::pointToCoordinate(const PrecisionPoint& point) const {
|
|
|
|
float targetZ = 0;
|
|
const double tileZoom = getZoom();
|
|
|
|
mat4 mat = coordinatePointMatrix(tileZoom);
|
|
|
|
mat4 inverted;
|
|
bool err = matrix::invert(inverted, mat);
|
|
|
|
if (err) throw std::runtime_error("failed to invert coordinatePointMatrix");
|
|
|
|
double flippedY = height - point.y;
|
|
|
|
// since we don't know the correct projected z value for the point,
|
|
// unproject two points to get a line and then find the point on that
|
|
// line with z=0
|
|
|
|
matrix::vec4 coord0;
|
|
matrix::vec4 coord1;
|
|
matrix::vec4 point0 = {{ point.x, flippedY, 0, 1 }};
|
|
matrix::vec4 point1 = {{ point.x, flippedY, 1, 1 }};
|
|
matrix::transformMat4(coord0, point0, inverted);
|
|
matrix::transformMat4(coord1, point1, inverted);
|
|
|
|
double w0 = coord0[3];
|
|
double w1 = coord1[3];
|
|
double x0 = coord0[0] / w0;
|
|
double x1 = coord1[0] / w1;
|
|
double y0 = coord0[1] / w0;
|
|
double y1 = coord1[1] / w1;
|
|
double z0 = coord0[2] / w0;
|
|
double z1 = coord1[2] / w1;
|
|
|
|
double t = z0 == z1 ? 0 : (targetZ - z0) / (z1 - z0);
|
|
|
|
return { util::interpolate(x0, x1, t), util::interpolate(y0, y1, t), tileZoom };
|
|
}
|
|
|
|
mat4 TransformState::coordinatePointMatrix(double z) const {
|
|
mat4 proj;
|
|
getProjMatrix(proj);
|
|
float s = util::tileSize * scale / std::pow(2, z);
|
|
matrix::scale(proj, proj, s, s, 1);
|
|
matrix::multiply(proj, getPixelMatrix(), proj);
|
|
return proj;
|
|
}
|
|
|
|
mat4 TransformState::getPixelMatrix() const {
|
|
mat4 m;
|
|
matrix::identity(m);
|
|
matrix::scale(m, m, width / 2.0f, -height / 2.0f, 1);
|
|
matrix::translate(m, m, 1, -1, 0);
|
|
return m;
|
|
}
|
|
|
|
|
|
#pragma mark - (private helper functions)
|
|
|
|
bool TransformState::rotatedNorth() const {
|
|
using NO = NorthOrientation;
|
|
return (orientation == NO::Leftwards || orientation == NO::Rightwards);
|
|
}
|
|
|
|
void TransformState::constrain(double& scale_, double& x_, double& y_) const {
|
|
// Constrain minimum scale to avoid zooming out far enough to show off-world areas.
|
|
scale_ = util::max(scale_,
|
|
static_cast<double>((rotatedNorth() ? height : width) / util::tileSize),
|
|
static_cast<double>((rotatedNorth() ? width : height) / util::tileSize));
|
|
|
|
// Constrain min/max pan to avoid showing off-world areas.
|
|
if (constrainMode == ConstrainMode::WidthAndHeight) {
|
|
double max_x = (scale_ * util::tileSize - (rotatedNorth() ? height : width)) / 2;
|
|
x_ = std::max(-max_x, std::min(x_, max_x));
|
|
}
|
|
|
|
double max_y = (scale_ * util::tileSize - (rotatedNorth() ? width : height)) / 2;
|
|
y_ = std::max(-max_y, std::min(y_, max_y));
|
|
}
|
|
|
|
void TransformState::moveLatLng(const LatLng& latLng, const PrecisionPoint& anchor) {
|
|
if (!latLng || !anchor) {
|
|
return;
|
|
}
|
|
|
|
auto coord = latLngToCoordinate(latLng);
|
|
auto coordAtPoint = pointToCoordinate(anchor);
|
|
auto coordCenter = pointToCoordinate({ width / 2.0f, height / 2.0f });
|
|
|
|
float columnDiff = coordAtPoint.column - coord.column;
|
|
float rowDiff = coordAtPoint.row - coord.row;
|
|
|
|
auto newLatLng = coordinateToLatLng({
|
|
coordCenter.column - columnDiff,
|
|
coordCenter.row - rowDiff,
|
|
coordCenter.zoom
|
|
});
|
|
setLatLngZoom(newLatLng, coordCenter.zoom);
|
|
}
|
|
|
|
void TransformState::setLatLngZoom(const LatLng &latLng, double zoom) {
|
|
double newScale = zoomScale(zoom);
|
|
const double newWorldSize = newScale * util::tileSize;
|
|
Bc = newWorldSize / 360;
|
|
Cc = newWorldSize / util::M2PI;
|
|
|
|
const double m = 1 - 1e-15;
|
|
const double f = util::clamp(std::sin(util::DEG2RAD * latLng.latitude), -m, m);
|
|
|
|
PrecisionPoint point = {
|
|
-latLng.longitude * Bc,
|
|
0.5 * Cc * std::log((1 + f) / (1 - f)),
|
|
};
|
|
setScalePoint(newScale, point);
|
|
}
|
|
|
|
void TransformState::setScalePoint(const double newScale, const PrecisionPoint &point) {
|
|
double constrainedScale = newScale;
|
|
PrecisionPoint constrainedPoint = point;
|
|
constrain(constrainedScale, constrainedPoint.x, constrainedPoint.y);
|
|
|
|
scale = constrainedScale;
|
|
x = constrainedPoint.x;
|
|
y = constrainedPoint.y;
|
|
Bc = worldSize() / 360;
|
|
Cc = worldSize() / util::M2PI;
|
|
}
|