grass gis 的求buffer最基本内容
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重叠部分的计算我没看懂
核心部分是:
基于椭球切线原理求平行线
使用求椭球切点函数elliptic_tangent计算切点向量,
以切点向量计算平行线
// 向量标准化函数/* norm_vector() calculates normalized vector form two points */void NormalizeVector(double y0, double x0, double y1, double x1, double *x, double *y){ double dx, dy, len; dy = y1 - y0; dx = x1 - x0; if ((dx == 0) && (dy == 0)) {*x = 0;*y = 0;return; } len = LENGTH(dx, dy); *x = dx / len; *y = dy / len; return;}void Test_NormalizeVector0(double x1, double y1, double x2, double y2){double x, y;NormalizeVector(y1,x1,y2,x2, &x, &y);LogStr("Normalize %f,%f, %f,%f to %f, %f", x1, y1, x2, y2, x, y);}void Test_NormalizeVector(){Test_NormalizeVector0(0,0,1,0);Test_NormalizeVector0(0,0,2,0);Test_NormalizeVector0(0,0,1,1);Test_NormalizeVector0(0,0,2,2);Test_NormalizeVector0(0,0,0,2);Test_NormalizeVector0(0,0,0,-2);Test_NormalizeVector0(0,0,-3,-2);Test_NormalizeVector0(0,0,-3,2);Test_NormalizeVector0(1,1,1,0);Test_NormalizeVector0(1,1,2,0);Test_NormalizeVector0(1,1,1,1);Test_NormalizeVector0(1,1,2,2);Test_NormalizeVector0(1,1,0,2);Test_NormalizeVector0(1,1,0,-2);Test_NormalizeVector0(1,1,-3,-2);Test_NormalizeVector0(1,1,-3,2);}// 求切点向量void EllipticTangent(double x, double y, double *px, double *py){ double u =0, v=0, len;double da = GPS_MeteringData.daFactor;double da2 = da*da;double db = GPS_MeteringData.dbFactor;double db2 = db*db;if(da != 0 || db != 0){u = da2 * y;v = -db2 * x;len = 1/sqrt(db2*x*x+da2*y*y);u *= len;v *= len;*px = u;*py = v;}*px = u;*py = v;}void Test_EllipticTangent0(double x, double y){double tx, ty;EllipticTangent(x, y, &tx, &ty);LogStr("Test_EllipticTangent0 %f,%f to %f, %f", x, y, tx, ty);}void Test_EllipticTangent(){Test_EllipticTangent0(1,0);Test_EllipticTangent0(2,0);Test_EllipticTangent0(1,1);Test_EllipticTangent0(2,2);Test_EllipticTangent0(0,2);Test_EllipticTangent0(0,-2);Test_EllipticTangent0(-3,-2);Test_EllipticTangent0(-3,2);}
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