12345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455565758596061626364656667686970717273747576 |
- import compose from "./compose";
- import {asin, atan2, cos, degrees, pi, radians, sin, tau} from "./math";
- function rotationIdentity(lambda, phi) {
- return [lambda > pi ? lambda - tau : lambda < -pi ? lambda + tau : lambda, phi];
- }
- rotationIdentity.invert = rotationIdentity;
- export function rotateRadians(deltaLambda, deltaPhi, deltaGamma) {
- return (deltaLambda %= tau) ? (deltaPhi || deltaGamma ? compose(rotationLambda(deltaLambda), rotationPhiGamma(deltaPhi, deltaGamma))
- : rotationLambda(deltaLambda))
- : (deltaPhi || deltaGamma ? rotationPhiGamma(deltaPhi, deltaGamma)
- : rotationIdentity);
- }
- function forwardRotationLambda(deltaLambda) {
- return function(lambda, phi) {
- return lambda += deltaLambda, [lambda > pi ? lambda - tau : lambda < -pi ? lambda + tau : lambda, phi];
- };
- }
- function rotationLambda(deltaLambda) {
- var rotation = forwardRotationLambda(deltaLambda);
- rotation.invert = forwardRotationLambda(-deltaLambda);
- return rotation;
- }
- function rotationPhiGamma(deltaPhi, deltaGamma) {
- var cosDeltaPhi = cos(deltaPhi),
- sinDeltaPhi = sin(deltaPhi),
- cosDeltaGamma = cos(deltaGamma),
- sinDeltaGamma = sin(deltaGamma);
- function rotation(lambda, phi) {
- var cosPhi = cos(phi),
- x = cos(lambda) * cosPhi,
- y = sin(lambda) * cosPhi,
- z = sin(phi),
- k = z * cosDeltaPhi + x * sinDeltaPhi;
- return [
- atan2(y * cosDeltaGamma - k * sinDeltaGamma, x * cosDeltaPhi - z * sinDeltaPhi),
- asin(k * cosDeltaGamma + y * sinDeltaGamma)
- ];
- }
- rotation.invert = function(lambda, phi) {
- var cosPhi = cos(phi),
- x = cos(lambda) * cosPhi,
- y = sin(lambda) * cosPhi,
- z = sin(phi),
- k = z * cosDeltaGamma - y * sinDeltaGamma;
- return [
- atan2(y * cosDeltaGamma + z * sinDeltaGamma, x * cosDeltaPhi + k * sinDeltaPhi),
- asin(k * cosDeltaPhi - x * sinDeltaPhi)
- ];
- };
- return rotation;
- }
- export default function(rotate) {
- rotate = rotateRadians(rotate[0] * radians, rotate[1] * radians, rotate.length > 2 ? rotate[2] * radians : 0);
- function forward(coordinates) {
- coordinates = rotate(coordinates[0] * radians, coordinates[1] * radians);
- return coordinates[0] *= degrees, coordinates[1] *= degrees, coordinates;
- }
- forward.invert = function(coordinates) {
- coordinates = rotate.invert(coordinates[0] * radians, coordinates[1] * radians);
- return coordinates[0] *= degrees, coordinates[1] *= degrees, coordinates;
- };
- return forward;
- }
|