Trouble porting math code between javascript and java(在javascript和java之间移植数学代码时出现问题)
问题描述
我在将在纬度/经度和amp;OS国家网格参考点之间进行转换的javascript代码移植到Java时遇到了问题。(http://www.movable-type.co.uk/scripts/latlong-gridref.html)
我在某些数学运算中得到了不同的结果。
我在下面包含了javascript和java代码,但是发生的是javascript中的0.04195508514183418
和java中的0.04195511450680837
计算结果。我已打印出计算的输入,它们是相同的。
这是javascript代码:
OsGridRef.osGridToLatLong = function(gridref) {
var E = gridref.easting;
var N = gridref.northing;
var a = 6377563.396, b = 6356256.910; // Airy 1830 major & minor semi-axes
var F0 = 0.9996012717; // NatGrid scale factor on central meridian
var lat0 = 49*Math.PI/180, lon0 = -2*Math.PI/180; // NatGrid true origin
var N0 = -100000, E0 = 400000; // northing & easting of true origin, metres
var e2 = 1 - (b*b)/(a*a); // eccentricity squared
var n = (a-b)/(a+b), n2 = n*n, n3 = n*n*n;
var lat=lat0, M=0;
var count = 0;
do {
count++;
lat = (N-N0-M)/(a*F0) + lat;
console.log("pre ma calc");
console.log("n = " + n);
console.log("n2 = " + n2);
console.log("n3 = " + n3);
console.log("lat = " + lat);
console.log("lat0 = " + lat0);
var Ma = (1 + n + (5/4)*n2 + (5/4)*n3) * (lat-lat0);
console.log("post ma calc ma = " + Ma);
这是输出:
pre ma calc test.html:68
n = 0.0016732202503250534 test.html:69
n2 = 0.0000027996660060978346 test.html:70
n3 = 4.684457855549562e-9 test.html:71
lat = 0.8970962185213205 test.html:72
lat0 = 0.8552113334772214 test.html:73
post ma calc ma = 0.04195511450680837
下面是Java代码:
LatLon osGridToLatLong(OsGridRef osGridRef) {
int E = osGridRef.easting;
int N = osGridRef.northing;
double a = 6377563.396, b = 6356256.910; // Airy 1830 major & minor semi-axes
double F0 = 0.9996012717; // NatGrid scale factor on central meridian
double lat0 = 49*Math.PI/180, lon0 = -2*Math.PI/180; // NatGrid true origin
double N0 = -100000, E0 = 400000; // northing & easting of true origin, metres
double e2 = 1 - (b*b)/(a*a); // eccentricity squared
double n = (a-b)/(a+b), n2 = n*n, n3 = n*n*n;
double lat=lat0, M=0;
int count = 0;
do {
count++;
lat = (N-N0-M)/(a*F0) + lat;
Log.e(TAG, "pre ma calc");
Log.e(TAG, "n = " + n);
Log.e(TAG, "n2 = " + n2);
Log.e(TAG, "n3 = " + n3);
Log.e(TAG, "lat = " + lat);
Log.e(TAG, "lat0 = " + lat0);
double Ma = (1 + n + (5/4)*n2 + (5/4)*n3) * (lat-lat0);
Log.e(TAG, "post ma calc ma = " + String.valueOf(Ma));
double Mb = (3*n + 3*n*n + (21/8)*n3) * Math.sin(lat-lat0) * Math.cos(lat+lat0);
double Mc = ((15/8)*n2 + (15/8)*n3) * Math.sin(2*(lat-lat0)) * Math.cos(2*(lat+lat0));
double Md = (35/24)*n3 * Math.sin(3*(lat-lat0)) * Math.cos(3*(lat+lat0));
M = b * F0 * (Ma - Mb + Mc - Md); // meridional arc
} while (N-N0-M >= 0.00001); // ie until < 0.01mm
这是输出:
07-03 12:36:03.413: E/DSDS(779): pre ma calc
07-03 12:36:03.423: E/DSDS(779): n = 0.0016732202503250534
07-03 12:36:03.423: E/DSDS(779): n2 = 2.7996660060978346E-6
07-03 12:36:03.443: E/DSDS(779): n3 = 4.684457855549562E-9
07-03 12:36:03.473: E/DSDS(779): lat = 0.8970962185213205
07-03 12:36:03.473: E/DSDS(779): lat0 = 0.8552113334772214
07-03 12:36:03.473: E/DSDS(779): post ma calc ma = 0.04195508514183418
推荐答案
5/4
将被解释为整数除法,因此将产生5 / 4 = 1.25 = 1
5.0 / 4
,以便它将使用浮点类型而不是整数。在多次计算mA、mb、mc和md时就是这种情况。
也许这已经使您的结果持平,但它肯定会使它们在数学本身应该起作用的情况下是正确的。除此之外,我认为您正确地迁移了代码。
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