Use lon, lat order instead of lat, lon

This change will bring the library in line with GeoJSON, Mapbox, and
Turf.js. It's also more intuitive for most tech people to have the
longitude first, as it can be thought of as the x coordinate, which
usually comes before y.

README.md

@@ -103,8 +103,8 @@ test("Example 1", () => {
   // Step 1
   //
   // First, the given latitudes and longitudes are converted to n-vectors:
-  const a = fromGeodeticCoordinates(radians(aLat), radians(aLon));
-  const b = fromGeodeticCoordinates(radians(bLat), radians(bLon));
+  const a = fromGeodeticCoordinates(radians(aLon), radians(aLat));
+  const b = fromGeodeticCoordinates(radians(bLon), radians(bLat));
 
   // Step 2
   //
@@ -228,7 +228,7 @@ test("Example 2", () => {
   const [c, cDepth] = destination(b, bcE, bDepth, e);
 
   // Use human-friendly outputs:
-  const [lat, lon] = toGeodeticCoordinates(c);
+  const [lon, lat] = toGeodeticCoordinates(c);
   const height = -cDepth;
 
   expect(degrees(lat)).toBeCloseTo(53.32637826433107, 13);
@@ -284,7 +284,7 @@ test("Example 3", () => {
   // Step 2
   //
   // Find latitude, longitude and height:
-  const [lat, lon] = toGeodeticCoordinates(b);
+  const [lon, lat] = toGeodeticCoordinates(b);
   const height = -bDepth;
 
   expect(degrees(lat)).toBeCloseTo(5.685075734513181, 14);
@@ -327,7 +327,7 @@ test("Example 4", () => {
   // SOLUTION:
 
   // Step 1: First, the given latitude and longitude are converted to n-vector:
-  const b = fromGeodeticCoordinates(radians(bLat), radians(bLon));
+  const b = fromGeodeticCoordinates(radians(bLon), radians(bLat));
 
   // Step 2: Convert to an ECEF-vector:
   const pb = toECEF(b, -bHeight);
@@ -370,8 +370,8 @@ test("Example 5", () => {
   // PROBLEM:
 
   // Given two positions A and B as n-vectors:
-  const a = fromGeodeticCoordinates(radians(88), radians(0));
-  const b = fromGeodeticCoordinates(radians(89), radians(-170));
+  const a = fromGeodeticCoordinates(radians(0), radians(88));
+  const b = fromGeodeticCoordinates(radians(-170), radians(89));
 
   // Find the surface distance (i.e. great circle distance). The heights of A
   // and B are not relevant (i.e. if they do not have zero height, we seek the
@@ -430,8 +430,8 @@ test("Example 6", () => {
   const t0 = 10,
     t1 = 20,
     ti = 16;
-  const pt0 = fromGeodeticCoordinates(radians(89.9), radians(-150));
-  const pt1 = fromGeodeticCoordinates(radians(89.9), radians(150));
+  const pt0 = fromGeodeticCoordinates(radians(-150), radians(89.9));
+  const pt1 = fromGeodeticCoordinates(radians(150), radians(89.9));
 
   // Find an interpolated position at time ti, pti. All positions are given as
   // n-vectors.
@@ -444,7 +444,7 @@ test("Example 6", () => {
   );
 
   // Use human-friendly outputs:
-  const [lat, lon] = toGeodeticCoordinates(pti);
+  const [lon, lat] = toGeodeticCoordinates(pti);
 
   expect(degrees(lat)).toBeCloseTo(89.91282199988446, 12);
   expect(degrees(lon)).toBeCloseTo(173.4132244463705, 12);
@@ -480,9 +480,9 @@ test("Example 7", () => {
   // PROBLEM:
 
   // Three positions A, B, and C are given as n-vectors:
-  const a = fromGeodeticCoordinates(radians(90), radians(0));
-  const b = fromGeodeticCoordinates(radians(60), radians(10));
-  const c = fromGeodeticCoordinates(radians(50), radians(-20));
+  const a = fromGeodeticCoordinates(radians(0), radians(90));
+  const b = fromGeodeticCoordinates(radians(10), radians(60));
+  const c = fromGeodeticCoordinates(radians(-20), radians(50));
 
   // Find the mean position, M. Note that the calculation is independent of the
   // heights/depths of the positions.
@@ -534,7 +534,7 @@ test("Example 8", () => {
   // PROBLEM:
 
   // Position A is given as n-vector:
-  const a = fromGeodeticCoordinates(radians(80), radians(-90));
+  const a = fromGeodeticCoordinates(radians(-90), radians(80));
 
   // We also have an initial direction of travel given as an azimuth (bearing)
   // relative to north (clockwise), and finally the distance to travel along a
@@ -587,7 +587,7 @@ test("Example 8", () => {
   );
 
   // Use human-friendly outputs:
-  const [lat, lon] = toGeodeticCoordinates(b);
+  const [lon, lat] = toGeodeticCoordinates(b);
 
   expect(degrees(lat)).toBeCloseTo(79.99154867339445, 13);
   expect(degrees(lon)).toBeCloseTo(-90.01769837291397, 13);
@@ -633,12 +633,12 @@ test("Example 9", () => {
   // the two positions are not antipodal).
 
   // Path A is given by a1 and a2:
-  const a1 = fromGeodeticCoordinates(radians(50), radians(180));
-  const a2 = fromGeodeticCoordinates(radians(90), radians(180));
+  const a1 = fromGeodeticCoordinates(radians(180), radians(50));
+  const a2 = fromGeodeticCoordinates(radians(180), radians(90));
 
   // While path B is given by b1 and b2:
-  const b1 = fromGeodeticCoordinates(radians(60), radians(160));
-  const b2 = fromGeodeticCoordinates(radians(80), radians(-140));
+  const b1 = fromGeodeticCoordinates(radians(160), radians(60));
+  const b2 = fromGeodeticCoordinates(radians(-140), radians(80));
 
   // Find the position C where the two paths intersect.
 
@@ -660,7 +660,7 @@ test("Example 9", () => {
   const c = apply((n) => Math.sign(dot(cTmp, a1)) * n, cTmp);
 
   // Use human-friendly outputs:
-  const [lat, lon] = toGeodeticCoordinates(c);
+  const [lon, lat] = toGeodeticCoordinates(c);
 
   expect(degrees(lat)).toBeCloseTo(74.16344802135536, 16);
   expect(degrees(lon)).toBeCloseTo(180, 16);
@@ -701,10 +701,10 @@ test("Example 10", () => {
   // Path A is given by the two n-vectors a1 and a2 (as in the previous
   // example):
   const a1 = fromGeodeticCoordinates(radians(0), radians(0));
-  const a2 = fromGeodeticCoordinates(radians(10), radians(0));
+  const a2 = fromGeodeticCoordinates(radians(0), radians(10));
 
   // And a position B is given by b:
-  const b = fromGeodeticCoordinates(radians(1), radians(0.1));
+  const b = fromGeodeticCoordinates(radians(0.1), radians(1));
 
   // Find the cross track distance between the path A (i.e. the great circle
   // through a1 and a2) and the position B (i.e. the shortest distance at the

src/coords.ts

@@ -9,15 +9,15 @@ import { transform } from "./vector.js";
  *
  * @see https://github.com/FFI-no/n-vector/blob/82d749a67cc9f332f48c51aa969cdc277b4199f2/nvector/lat_long2n_E.m
  *
- * @param latitude - Geodetic latitude in radians.
  * @param longitude - Geodetic longitude in radians.
+ * @param latitude - Geodetic latitude in radians.
  * @param frame - Coordinate frame in which the n-vector is decomposed.
  *
  * @returns An n-vector.
  */
 export function fromGeodeticCoordinates(
-  latitude: number,
   longitude: number,
+  latitude: number,
   frame: Matrix = Z_AXIS_NORTH,
 ): Vector {
   // Equation (3) from Gade (2010):
@@ -39,12 +39,12 @@ export function fromGeodeticCoordinates(
  * @param vector - An n-vector.
  * @param frame - Coordinate frame in which the n-vector is decomposed.
  *
- * @returns Geodetic latitude and longitude in radians.
+ * @returns Geodetic longitude and latitude in radians.
  */
 export function toGeodeticCoordinates(
   vector: Vector,
   frame: Matrix = Z_AXIS_NORTH,
-): [latitude: number, longitude: number] {
+): [longitude: number, latitude: number] {
   // Equation (5) in Gade (2010):
   const [x, y, z] = transform(frame, vector);
   const longitude = Math.atan2(y, -z);
@@ -59,5 +59,5 @@ export function toGeodeticCoordinates(
   // ill-conditioned which may lead to numerical inaccuracies (and it will give
   // imaginary results for norm(vector)>1)
 
-  return [latitude, longitude];
+  return [longitude, latitude];
 }

src/rotation-matrix.ts

@@ -94,7 +94,7 @@ export function toRotationMatrixUsingWanderAzimuth(
   wanderAzimuth: number,
   frame: Matrix = Z_AXIS_NORTH,
 ): Matrix {
-  const [latitude, longitude] = toGeodeticCoordinates(vector, frame);
+  const [longitude, latitude] = toGeodeticCoordinates(vector, frame);
 
   // Longitude, -latitude, and wander azimuth are the x-y-z Euler angles (about
   // new axes) for rotation. See also the second paragraph of Section 5.2 in

test/arbitrary.ts

@@ -70,16 +70,16 @@ export function arbitraryEllipsoidECEFVector({
   return arbitrary3dVector({ min: a - b, max: a + b, noNaN: true });
 }
 
-export function arbitraryLatLon(): fc.Arbitrary<[number, number]> {
+export function arbitraryGeodeticCoordinates(): fc.Arbitrary<[number, number]> {
   return fc.tuple(
     fc.double({
-      min: -90 * RADIAN,
-      max: 90 * RADIAN,
+      min: -180 * RADIAN,
+      max: 180 * RADIAN,
       noNaN: true,
     }),
     fc.double({
-      min: -180 * RADIAN,
-      max: 180 * RADIAN,
+      min: -90 * RADIAN,
+      max: 90 * RADIAN,
       noNaN: true,
     }),
   );

test/nvector-test-api.ts

@@ -47,11 +47,11 @@ export async function createNvectorTestClient(): Promise<NvectorTestClient> {
   });
 
   return {
-    async fromGeodeticCoordinates(latitude, longitude, frame) {
+    async fromGeodeticCoordinates(longitude, latitude, frame) {
       return unwrapVector3(
         await call<WrappedVector3>("lat_lon2n_E", {
-          latitude,
           longitude,
+          latitude,
           R_Ee: frame,
         }),
       );
@@ -66,15 +66,15 @@ export async function createNvectorTestClient(): Promise<NvectorTestClient> {
     },
 
     async toGeodeticCoordinates(vector, frame) {
-      const { latitude, longitude } = await call<{
-        latitude: number;
+      const { longitude, latitude } = await call<{
         longitude: number;
+        latitude: number;
       }>("n_E2lat_lon", {
         n_E: wrapVector3(vector),
         R_Ee: frame,
       });
 
-      return [latitude, longitude];
+      return [longitude, latitude];
     },
 
     async toRotationMatrix(vector, frame) {

test/vitest/coords.spec.ts

@@ -7,7 +7,7 @@ import { afterAll, beforeAll, describe, expect } from "vitest";
 import {
   arbitrary3dRotationMatrix,
   arbitrary3dUnitVector,
-  arbitraryLatLon,
+  arbitraryGeodeticCoordinates,
 } from "../arbitrary.js";
 import type { NvectorTestClient } from "../nvector-test-api.js";
 import { createNvectorTestClient } from "../nvector-test-api.js";
@@ -27,16 +27,16 @@ describe("fromGeodeticCoordinates()", () => {
 
   it.prop(
     [
-      arbitraryLatLon(),
+      arbitraryGeodeticCoordinates(),
       fc.option(arbitrary3dRotationMatrix(), { nil: undefined }),
     ],
     { interruptAfterTimeLimit: TEST_DURATION, numRuns: Infinity },
   )(
     "matches the reference implementation",
-    async ([latitude, longitude], frame) => {
+    async ([longitude, latitude], frame) => {
       const expected = await nvectorTestClient.fromGeodeticCoordinates(
-        latitude,
         longitude,
+        latitude,
         frame,
       );
 
@@ -46,7 +46,7 @@ describe("fromGeodeticCoordinates()", () => {
         expect.any(Number),
       ]);
 
-      const actual = fromGeodeticCoordinates(latitude, longitude, frame);
+      const actual = fromGeodeticCoordinates(longitude, latitude, frame);
 
       expect(actual).toMatchObject([
         expect.any(Number),

test/vitest/examples/example-01.spec.ts

@@ -46,8 +46,8 @@ test("Example 1", () => {
   // Step 1
   //
   // First, the given latitudes and longitudes are converted to n-vectors:
-  const a = fromGeodeticCoordinates(radians(aLat), radians(aLon));
-  const b = fromGeodeticCoordinates(radians(bLat), radians(bLon));
+  const a = fromGeodeticCoordinates(radians(aLon), radians(aLat));
+  const b = fromGeodeticCoordinates(radians(bLon), radians(bLat));
 
   // Step 2
   //

test/vitest/examples/example-02.spec.ts

@@ -72,7 +72,7 @@ test("Example 2", () => {
   const [c, cDepth] = destination(b, bcE, bDepth, e);
 
   // Use human-friendly outputs:
-  const [lat, lon] = toGeodeticCoordinates(c);
+  const [lon, lat] = toGeodeticCoordinates(c);
   const height = -cDepth;
 
   expect(degrees(lat)).toBeCloseTo(53.32637826433107, 13);

test/vitest/examples/example-03.spec.ts

@@ -35,7 +35,7 @@ test("Example 3", () => {
   // Step 2
   //
   // Find latitude, longitude and height:
-  const [lat, lon] = toGeodeticCoordinates(b);
+  const [lon, lat] = toGeodeticCoordinates(b);
   const height = -bDepth;
 
   expect(degrees(lat)).toBeCloseTo(5.685075734513181, 14);

test/vitest/examples/example-04.spec.ts

@@ -22,7 +22,7 @@ test("Example 4", () => {
   // SOLUTION:
 
   // Step 1: First, the given latitude and longitude are converted to n-vector:
-  const b = fromGeodeticCoordinates(radians(bLat), radians(bLon));
+  const b = fromGeodeticCoordinates(radians(bLon), radians(bLat));
 
   // Step 2: Convert to an ECEF-vector:
   const pb = toECEF(b, -bHeight);

test/vitest/examples/example-05.spec.ts

@@ -20,8 +20,8 @@ test("Example 5", () => {
   // PROBLEM:
 
   // Given two positions A and B as n-vectors:
-  const a = fromGeodeticCoordinates(radians(88), radians(0));
-  const b = fromGeodeticCoordinates(radians(89), radians(-170));
+  const a = fromGeodeticCoordinates(radians(0), radians(88));
+  const b = fromGeodeticCoordinates(radians(-170), radians(89));
 
   // Find the surface distance (i.e. great circle distance). The heights of A
   // and B are not relevant (i.e. if they do not have zero height, we seek the

test/vitest/examples/example-06.spec.ts

@@ -23,8 +23,8 @@ test("Example 6", () => {
   const t0 = 10,
     t1 = 20,
     ti = 16;
-  const pt0 = fromGeodeticCoordinates(radians(89.9), radians(-150));
-  const pt1 = fromGeodeticCoordinates(radians(89.9), radians(150));
+  const pt0 = fromGeodeticCoordinates(radians(-150), radians(89.9));
+  const pt1 = fromGeodeticCoordinates(radians(150), radians(89.9));
 
   // Find an interpolated position at time ti, pti. All positions are given as
   // n-vectors.
@@ -37,7 +37,7 @@ test("Example 6", () => {
   );
 
   // Use human-friendly outputs:
-  const [lat, lon] = toGeodeticCoordinates(pti);
+  const [lon, lat] = toGeodeticCoordinates(pti);
 
   expect(degrees(lat)).toBeCloseTo(89.91282199988446, 12);
   expect(degrees(lon)).toBeCloseTo(173.4132244463705, 12);

test/vitest/examples/example-07.spec.ts

@@ -17,9 +17,9 @@ test("Example 7", () => {
   // PROBLEM:
 
   // Three positions A, B, and C are given as n-vectors:
-  const a = fromGeodeticCoordinates(radians(90), radians(0));
-  const b = fromGeodeticCoordinates(radians(60), radians(10));
-  const c = fromGeodeticCoordinates(radians(50), radians(-20));
+  const a = fromGeodeticCoordinates(radians(0), radians(90));
+  const b = fromGeodeticCoordinates(radians(10), radians(60));
+  const c = fromGeodeticCoordinates(radians(-20), radians(50));
 
   // Find the mean position, M. Note that the calculation is independent of the
   // heights/depths of the positions.

test/vitest/examples/example-08.spec.ts

@@ -24,7 +24,7 @@ test("Example 8", () => {
   // PROBLEM:
 
   // Position A is given as n-vector:
-  const a = fromGeodeticCoordinates(radians(80), radians(-90));
+  const a = fromGeodeticCoordinates(radians(-90), radians(80));
 
   // We also have an initial direction of travel given as an azimuth (bearing)
   // relative to north (clockwise), and finally the distance to travel along a
@@ -77,7 +77,7 @@ test("Example 8", () => {
   );
 
   // Use human-friendly outputs:
-  const [lat, lon] = toGeodeticCoordinates(b);
+  const [lon, lat] = toGeodeticCoordinates(b);
 
   expect(degrees(lat)).toBeCloseTo(79.99154867339445, 13);
   expect(degrees(lon)).toBeCloseTo(-90.01769837291397, 13);