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1、高斯投影坐标正反算编程报告10021班 张鑫 学号：20103025900401. 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
2、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
3、B，lL=L0+l求出大地经度L输出B，L结束正算反算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;voidfansuan();voidzhengsuan();void main()zhengsuan();fansuan();printf(/n over!);voidzhengsuan()doublemyB,myL;cout【正算】endl;cout请输入大地纬度Bendl;myB=
4、angleToDegree();cout请输入大地经度Lendl;myL=angleToDegree();ZhengsuanmyZhengsuan1(myB,myL);printf(Radian B=%f L=%f n,myZhengsuan1.getrB(),myZhengsuan1.getrL();myZhengsuan1.printLocation();voidfansuan()doublemyX,myY;cout【反算】endl;cout请输入国家统一坐标 X Y。例如 3378627.1819 20243953.4517myXmyY;FansuanmyFansuan1(myX,myY
5、);myFansuan1.printLocation();/自定功能函数库MyFunction.h#define PI 3.1415926#include using namespace std;doubleangleToDegree(intdu,intfen,floatmiao);double angleToDegree();/将度分秒换算为度doubledegreeToRadian(double degree);double degreeToRadian();/将角度换算为弧度MyFunction.cpp#include MyFunction.hdoubleangleToDegree(in
6、tdu,intfen,floatmiao)double result=0;result=miao/3600.0+fen/60.0+du;return result;doubleangleToDegree()intdu,fen;floatmiao;double result;cout请输入度分秒。例如：30 20 00dufenmiao;result=angleToDegree(du,fen,miao);return result;doubledegreeToRadian(double degree)double result=0;result=degree/57.295779513082321
7、;return result;doubledegreeToRadian()doubleresult,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_E8
8、10_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;classZhengsuanpublic:Zhengsuan();Zhengsuan(double fB,doublefL);doublegetX();doublegetY();doublegetrB();doublegetrL();v
9、oidprintLocation();virtual Zhengsuan();private:double x;double y;/大地坐标double X;double Y;/国家统一坐标double B;doublerB;intBsecond;double L;doublerL;/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-L0intLDotSecond;/换算成秒的纬度差double l;double N;double a0;double a3;doub
10、le 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,doublefL)B=fB;rB=d
11、egreeToRadian(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(rB);/计算参数Na0=3
12、2140.404-(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=0.0083-(0.1667-(0
13、.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()doubleZhengsuan:getX()return X;doubleZhengsuan:getY()ret
14、urn Y;voidZhengsuan:printLocation()printf(正算得国家统一坐标为： X= %8.8f Y=%8.8f n,X,Y);doubleZhengsuan:getrB()returnrB;doubleZhengsuan:getrL()returnrL;/反算类Fansuan.h/ Fansuan.h: interface for the Fansuan class./#if !defined(AFX_FANSUAN_H_5B5E4668_EE81_463F_8D65_FFE2AEACE745_INCLUDED_)#define AFX_FANSUAN_H_5B5
15、E4668_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;classFansuanpublic:Fansuan();Fansuan(double X,double Y);doublegetB();doublegetL();voidprintLocation();virtual
16、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doubleB,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-3doubleBf,BfSecond,BfDegree;doublebeta,betaSecond,betaDegree;double Z;doubleNf;double b2;double b3;double b4;double b5;/计算的8个参数;#endif /
17、!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/1000000);/取出带号L0=6*N-3;/初始化该带号的中央经线经
18、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,弧度单位BfSecond=Bf*rouSecond;/初始化Bf
19、，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-(0.166667-0.001123*cos(Bf)*cos(Bf)*cos
20、(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LdoubleFansuan:getB()return B;doubleFansuan:getL()return L;voidFansuan: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()11
