高斯投影坐标正反算编程报告.doc

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1、高斯投影坐标正反算编程报告1. 编程思想进行高斯投影坐标正反算的编程需要牵涉到大量的公式，为了使程序条理更清楚，各块的数据复用性更强，这里采取了结构化的编程思想。程序由四大块组成。GeodesyHomework.cpp文件用于存放main()函数，是整个程序的入口。通过结构化的编程尽力使main()函数变得简单。MyFunction.h和MyFunction.cpp用于存放计算过程中进行角度弧度换算时所要用到的一些自定的转换函数。Zhengsuan.h和Zhengsuan.cpp用于存放Zhengsuan类，在Zhengsuan类中声明了高斯投影坐标正算所要用到的所有变量，在类的构造函数中进行

2、成员变量的初始化及正算计算。通过get函数获得相应的正算结果。Fansuan.h和Fansuan.cpp用于存放Fansuan类，类似于Zhengsuan类，Fansuan类中声明了高斯投影坐标反算所要用到的所有变量，在类的构造函数中进行成员变量的初始化及反算计算。通过get函数获得相应的反算结果。2. 计算模型 高斯投影正算公式 高斯投影反算公式 3. 程序框图开始输入B，L求定带号N，中央纬度L0，纬度差l按照实用公式计算x,y换算为国家统一坐标X，Y输出X,Y输入国家统一坐标X,Y由Y取定带号N，并换算出x，y求出中央经线L0按照实用公式计算B，lL=L0+l求出大地经度L输出B，L结束

3、正算反算4. 计算结果5. 附录：程序代码/主函数入口GeodesyHomework.cpp#include MyFunction.h#include Zhengsuan.h#include Fansuan.h#include using namespace std;void fansuan();void zhengsuan();void main()zhengsuan();fansuan();printf(/n over!);void zhengsuan()double myB,myL;cout【正算】endl;cout请输入大地纬度Bendl;myB=angleToDegree();cou

4、t请输入大地经度Lendl;myL=angleToDegree();Zhengsuan myZhengsuan1(myB,myL);printf(Radian B=%f L=%f n,myZhengsuan1.getrB(),myZhengsuan1.getrL();myZhengsuan1.printLocation();void fansuan()double myX,myY;cout【反算】endl;cout请输入国家统一坐标 X Y。例如 3378627.1819 20243953.4517myXmyY;Fansuan myFansuan1(myX,myY);myFansuan1.pr

5、intLocation();/自定功能函数库MyFunction.h#define PI 3.1415926#include using namespace std;double angleToDegree(int du,int fen,float miao);double angleToDegree();/将度分秒换算为度double degreeToRadian(double degree);double degreeToRadian();/将角度换算为弧度MyFunction.cpp#include MyFunction.hdouble angleToDegree(int du,int

6、fen,float miao)double result=0;result=miao/3600.0+fen/60.0+du;return result;double angleToDegree()int du,fen;float miao;double result;cout请输入度 分 秒。例如：30 20 00dufenmiao;result=angleToDegree(du,fen,miao);return result;double degreeToRadian(double degree)double result=0;result=degree/57.295779513082321

7、;return result;double degreeToRadian()double result,degree;degree=angleToDegree();result=degreeToRadian(degree);return result;/正算类Zhengsuan.h/ Zhengsuan.h: interface for the Zhengsuan class./#if !defined(AFX_ZHENGSUAN_H_2655EA28_E810_44A3_8F14_56421A7B4466_INCLUDED_)#define AFX_ZHENGSUAN_H_2655EA28_

8、E810_44A3_8F14_56421A7B4466_INCLUDED_#if _MSC_VER 1000#pragma once#endif / _MSC_VER 1000#define rouSecond 206264.806247096355#include MyFunction.h#include #include using namespace std;class Zhengsuan public:Zhengsuan();Zhengsuan(double fB,double fL);double getX();double getY();double getrB();double

9、getrL();void printLocation();virtual Zhengsuan();private:double x;double y;/大地坐标double X;double Y;/国家统一坐标double B;double rB;int Bsecond;double L;double rL;/输入的大地纬度B，大地经度L，rB,rL为对应弧度表示值，Bsecond为换算成秒数值int n;/带号ndouble L0;/中央经线纬度L0double LDot;/纬度差L-L0int LDotSecond;/换算成秒的纬度差double l;double N;double a0;

10、double a3;double a4;double a5;double a6;/七个计算参数;#endif / !defined(AFX_ZHENGSUAN_H_2655EA28_E810_44A3_8F14_56421A7B4466_INCLUDED_)Zhengsuan.cpp/ Zhengsuan.cpp: implementation of the Zhengsuan class./#include Zhengsuan.h/ Construction/Destruction/Zhengsuan:Zhengsuan()Zhengsuan:Zhengsuan(double fB,doub

11、le fL)B=fB;rB=degreeToRadian(fB);L=fL;rL=degreeToRadian(fL);Bsecond=B*3600;/初始化大地经度L，大地纬度B，Bsecond,按弧度的大地纬度rBn=(int)(L/6+1);/初始化带号nL0=6*n-3;/中央经线经度，角度单位LDot=L-L0;/经度差LDotSecond=LDot*3600;l=(LDot)*3600/rouSecond;/计算参数lN=6399698.902-(21562.267-(108.973-0.612*cos(rB)*cos(rB)*cos(rB)*cos(rB)*cos(rB)*cos

12、(rB);/计算参数Na0=32140.404-(135.3302-(0.7092-0.004*cos(rB)*cos(rB)*cos(rB)*cos(rB)*cos(rB)*cos(rB);/计算参数a0a4=(0.25+0.00252*cos(rB)*cos(rB)*cos(rB)*cos(rB)-0.04166;/计算参数a4a6=(0.166*cos(rB)*cos(rB)-0.084)*cos(rB)*cos(rB);/计算参数a6a3=(0.3333333+0.001123*cos(rB)*cos(rB)*cos(rB)*cos(rB)-0.1666667;/计算参数a3a5=0.

13、0083-(0.1667-(0.1968+0.004*cos(rB)*cos(rB)*cos(rB)*cos(rB)*cos(rB)*cos(rB);/计算参数a5x=6367558.4969*Bsecond/rouSecond-(a0-(0.5+(a4+a6*l*l)*l*l)*l*l*N)*sin(rB)*cos(rB);/正算xy=(1+(a3+a5*l*l)*l*l)*l*N*cos(rB);/正算yX=x;Y=n*1000000+y+500000;/国家统一坐标Zhengsuan:Zhengsuan()double Zhengsuan:getX()return X;double Zh

14、engsuan:getY()return Y;void Zhengsuan:printLocation()printf(正算得国家统一坐标为： X= %8.8f Y=%8.8f n,X,Y);double Zhengsuan:getrB()return rB;double Zhengsuan:getrL()return rL;/反算类Fansuan.h/ Fansuan.h: interface for the Fansuan class./#if !defined(AFX_FANSUAN_H_5B5E4668_EE81_463F_8D65_FFE2AEACE745_INCLUDED_)#de

15、fine AFX_FANSUAN_H_5B5E4668_EE81_463F_8D65_FFE2AEACE745_INCLUDED_#if _MSC_VER 1000#pragma once#endif / _MSC_VER 1000#define rouSecond 206264.806247096355#include #include MyFunction.h#include using namespace std;class Fansuan public:Fansuan();Fansuan(double X,double Y);double getB();double getL();vo

16、id printLocation();virtual Fansuan();private:double x;double y;/高斯投影坐标double X;double Y;int N;/国家统一坐标,N为带号double B,Bsecond;double L;/最后反算得到B、Ldouble L0;/中央经线经度double l,lsecond;/L=L0+l，L0=6*N-3double Bf,BfSecond,BfDegree;double beta,betaSecond,betaDegree;double Z;double Nf;double b2;double b3;double

17、b4;double b5;/计算的8个参数;#endif / !defined(AFX_FANSUAN_H_5B5E4668_EE81_463F_8D65_FFE2AEACE745_INCLUDED_)Fansuan.cpp/ Fansuan.cpp: implementation of the Fansuan class./#include Fansuan.h/ Construction/Destruction/Fansuan:Fansuan()Fansuan:Fansuan(double X,double Y)this-X=X;this-Y=Y;/初始化x,yN=(int)(Y/10000

18、00);/取出带号L0=6*N-3;/初始化该带号的中央经线经度x=X;y=Y-1000000*N-500000;beta=x/6367558.4969;/初始化beta，弧度单位betaSecond=beta*rouSecond;/初始化beta，秒单位betaDegree=betaSecond/3600;/初始化beta,整度数单位Bf=beta+(50221746+(293622+(2350+22*cos(beta)*cos(beta)*cos(beta)*cos(beta)*cos(beta)*cos(beta)*(1e-10)*sin(beta)*cos(beta);/初始化Bf,弧

19、度单位BfSecond=Bf*rouSecond;/初始化Bf，秒单位BfDegree=BfSecond/3600;/初始化Bf，整度数单位Nf=6399698.902-(21562.267-(108.973-0.612*cos(Bf)*cos(Bf)*cos(Bf)*cos(Bf)*cos(Bf)*cos(Bf);Z=y/(Nf*cos(Bf);b2=(0.5+0.003369*cos(Bf)*cos(Bf)*sin(Bf)*cos(Bf);b4=0.25+(0.16161+0.00562*cos(Bf)*cos(Bf)*cos(Bf)*cos(Bf);b3=0.333333-(0.1666

20、67-0.001123*cos(Bf)*cos(Bf)*cos(Bf)*cos(Bf);b5=0.2-(0.166667-0.0088*cos(Bf)*cos(Bf)*cos(Bf)*cos(Bf);Bsecond=BfSecond-(1-(b4-0.12*Z*Z)*Z*Z)*Z*Z*b2*rouSecond;/计算大地经度B，单位为秒B=Bsecond/3600;/用整度数表示Blsecond=(1-(b3-b5*Z*Z)*Z*Z)*Z*rouSecond;/计算经度差l，单位为秒l=lsecond/3600;/用整度数表示lL=L0+l;/计算大地经度Ldouble Fansuan:getB()return B;double Fansuan:getL()return L;void Fansuan:printLocation()printf(反算得大地坐标为：大地纬度B= %f 大地经度L=%fn,B,L);Fansuan:Fansuan()