探讨误差：
注1：
以下 欧氏距离，指误差，且是方差，即欧氏平方距离(省去开方）。
[isFirsttimeEqualp1p:0][C1rad:1.0654362715284031448703672140254639089107513427734375]:C1角度:61045][c1A1:193.64900805416846196749247610569000244140625][c1B1:350.000088113755509766633622348308563232421875][C2rad2:0.252688776135444659320938853852567262947559356689453125]:C2角度:14478]-[c2A1:193.648741253672369566629640758037567138671875][c2B1:50.00165008145478395817917771637439727783203125],{此时欧式距离:2.5066927555923115278346813283860683441162109375}
P1点：
```
[isFirsttimeEqualp1p:0][C1rad:1.06535]:C1角度:6104][c1A1:193.68][c1B1:349.983][C2rad2:0.252549]:C2角度:14470]-[c2A1:193.656][c2B1:49.9746],{此时欧式距离:615.474}
[isFirsttimeEqualp1p:0][C1rad:1.06535]:C1角度:6104][c1A1:193.68][c1B1:349.983][C2rad2:0.252567]:C2角度:14471]-[c2A1:193.655][c2B1:49.978],{此时欧式距离:610.292}
```
结果：C1：61.045
C2：14.478
P2点：
[isFirsttimeEqualp1p:0][C1rad:2.07602]:C1角度:118947][c1A1:-193.6][c1B1:350.027]
[C2rad2:2.88852]:C2角度:1655]-[c2A1:-193.63][c2B1:50.076],{此时欧式距离:3261.3}
结果：
C1:118.955
C2:165.522
验算：
C1： 118.955-90 = 28.955
61.045-90== -28.955
C2： 90- 14.478= 75.522
90-165.522= 75.522
完全吻合了！
下面是作图的结果：
注意上图中:
红、蓝相交的就是迭代求出的结合点了。
迭代求重合点的核心代码：
```
//P2点//for21100
long double Shortest_euclidDistance02 = 999999999999999.9;
for (int i1 = (119000 -1000); i1 <= (119000+1000); ++i1) {//for21100 //for (int i1 = 0; i1 < 3601; ++i1) {//for1100
// long double c1_rad1 = long double((long double)hPi / 900 * i1) / 1000000000000000000 / 10; // 1000000000000000000; //10^18倍的PI;
long double c1_rad1 = long double((long double)Pild*i1 / 180) / 1000;
//等价(但不太精确的)表达 long double c1_rad1 = Pild * i1 / 180 /10;
long double c1_a001 = C1_200_R01 * cos(c1_rad1); //int c1_a001 = C1_200_R01 * cos(c1_rad1);
long double c1_b001 = C1_200_R01 * sin(c1_rad1); //int c1_b001 = C1_200_R01 * sin(c1_rad1);
//
//2号圆(下圆)
for (int j2 = (165000/100)-10; j2 <= ( 166100/100 )+10; ++j2) { //for (int j2 = (3500-500); j2 <= ( 3600+500 ); ++j2) {
long double c2_rad02 = long double((long double)Pild*j2 / 180) / 10;// 00; //;// / 100; // 1000; // / 10;
uint64_t uint64_c2_a001 = long double((long double)hPi / 9000 * j2) * cos(c2_rad02); //必须:全部化为 uint64的大长整数运算
uint64_t uint64_c2_b002 = long double((long double)hPi / 9000 * j2) *sin(c2_rad02);
long double c2_a001 = C2_200_R02 * cos(c2_rad02); //int c2_a001 = C2_200_R02 * cos(c2_rad02);
long double c2_b002 = C2_200_R02 * sin(c2_rad02); //int c2_b002 = C2_200_R02 * sin(c2_rad02);
//两个坐标的4个值取精度,后比较
long double intc1_a001 = c1Apianyi_A1 * 1000 + int((double)c1_a001 * 1000);
long double intc1_b001 = c1Bpianyi_B1 * 1000 + c1_b001 * 1000;
long double intc2_a001 = c2Apianyi_A2 * 1000 + c2_a001 * 1000;
long double intc2_b002 = c2Bpianyi_B2 * 1000 + c2_b002 * 1000;
outStream << "[C1rad:" << c1_rad1 << "]:";
outStream << "C1角度:" << i1 << "]";
outStream << "[c1A1:" << intc1_a001 << "]";
outStream << "[c1B1:" << intc1_b001 << "]";
outStream << "[C2rad2:" << c2_rad02 << "]:";
outStream << "C2角度:" << j2 << "]";
outStream << "-[c2A1:" << intc2_a001 << "]";
outStream << "[c2B1:" << intc2_b002 << "]" << endl;
//
// EduclidDistanceOrWhethShortest参数 (x1,y1,x2,y2);
if (Shortest_euclidDistance02 > EduclidDistanceOrWhethShortest(intc1_a001, intc1_b001, intc2_a001, intc2_b002)) {//if2100
Shortest_euclidDistance02 = EduclidDistanceOrWhethShortest(intc1_a001, intc1_b001, intc2_a001, intc2_b002);
outStrea0m2 << "[isFirsttimeEqualp1p:" << isFirsttimeEqualp1p2 << "]";
outStrea0m2 << "[C1rad:" << c1_rad1 << "]:";
outStrea0m2 << "C1角度:" << i1 << "]";
outStrea0m2 << "[c1A1:" << c1_a001 << "]";
outStrea0m2 << "[c1B1:" << c1_b001 << "]";
outStrea0m2 << "[C2rad2:" << c2_rad02 << "]:";
outStrea0m2 << "C2角度:" << j2 << "]";
outStrea0m2 << "-[c2A1:" << c2_a001 << "]";
outStrea0m2 << "[c2B1:" << c2_b002 << "]";
outStrea0m2 << ",{此时欧式距离:" << Shortest_euclidDistance02 << "}" << endl;
}//if2100
else if ( ((intc1_a001) == (intc2_a001)) && ((intc1_b001) == (intc2_b002))) { //if2100
SetPixe02(hdc, c2Apianyi_A2 + c2_a001, c2Bpianyi_B2 + c2_b002, RGB(255, 0, 0));//红 0, 0, 228));//暗红
++isFirsttimeEqualp1p2;
//
cout << "[isFirsttimeEqualp1p:" << isFirsttimeEqualp1p2 << "]";
cout << "[C1rad:" << c1_rad1 << "]:";
cout << "C1角度:" << i1 << "]";
cout << "[c2B1:" << c2_b002 << "]" << endl;
if (1 == isFirsttimeEqualp1p2) {//if3100
p01.a1 = intc2_a001; p01.b1 = intc1_b001;
}//if3100
//
if (2 == isFirsttimeEqualp1p2) {//if3200
p02.a1 = intc2_a001; p02.b1 = intc1_b001;
}//if3200
//
}//if2100
else {//if2100else2100
SetPixe02(hdc, c2Apianyi_A2 + c2_a001, c2Bpianyi_B2 + c2_b002, RGB(255, 0, 0));//暗蓝
}//if2100else2100
}//for1200
//
SetPixe02(hdc, c1Apianyi_A1 + c1_a001, c1Bpianyi_B1 + c1_b001, RGB(0, 255, 0) ); //亮绿 128, 0));//暗绿
}//for21100
//P2点//for21100-End
```
再帖一下
两个(重合)点的求法与作图的方法，
1、先贴结果图：
要注意，绿色和红色的两个相交点……
2、再帖(较完整)代码：
```
// Project1clzz002billiard181010b2.cpp : 定义应用程序的入口点。
//
#include "stdafx.h"
#include "Project1clzz002billiard181010b2.h"
#include <iostream>
#include <iomanip>
#include <fstream>
using namespace std;
#define MAX_LOADSTRING 100
// 全局变量:
//浮点数计PI(π):
long double PIld = 3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706798214808651328230664709384460955058223172535940812848111745028410270193852110555964462294895493038196;
//输出有效为： 3.141592653589793115997963468544185161590576171875
//有效位： 3.141592653589793
//等价
//PILD01=3.141592653589793;
long double Pi2ld = 3.1415926535897932;
//
uint64_t PI_uint64t = 3141592653589793238; //31415926535897932384;//整数常量太大
uint64_t halfPI_uint64t = 15707963267948966192; // halfPI=90度; 157079632679489661923;整数常量太大
uint64_t hPi = 15707963267948966192;// halfPI=90度;
//
HINSTANCE hInst; // 当前实例
WCHAR szTitle[MAX_LOADSTRING]; // 标题栏文本
WCHAR szWindowClass[MAX_LOADSTRING]; // 主窗口类名
//
struct Position0old1 { //定义交点位置
int a1;
int b1;
}
p0old1, p0old2;
struct Position001 { //定义交点位置
double c1angle; //角度
double c2angle;
double a1; //坐标
double b2;
};
Position001 P01 = { 61.045, 14.478};
Position001 P02 = { 118.955, 165.522 };
// 此代码模块中包含的函数的前向声明:
ATOM MyRegisterClass(HINSTANCE hInstance);
BOOL InitInstance(HINSTANCE, int);
LRESULT CALLBACK WndProc(HWND, UINT, WPARAM, LPARAM);
INT_PTR CALLBACK About(HWND, UINT, WPARAM, LPARAM);
int APIENTRY wWinMain(_In_ HINSTANCE hInstance,
_In_opt_ HINSTANCE hPrevInstance,
_In_ LPWSTR lpCmdLine,
_In_ int nCmdShow)
{
UNREFERENCED_PARAMETER(hPrevInstance);
UNREFERENCED_PARAMETER(lpCmdLine);
// TODO: 在此处放置代码。
//
//调用Console控制台
AllocConsole();
#pragma warning(disable:4996)
_tfreopen(TEXT("CONOUT$"), TEXT("w"), stdout);
_tfreopen(TEXT("CONOUT$"), TEXT("w"), stderr);
_tfreopen(TEXT("CONIN$"), TEXT("r"), stdin);
#pragma warning(default:4996)
_tsetlocale(LC_ALL, TEXT("chs"));
//
cout << setprecision(99) << PIld << endl;
cout << setprecision(99) << Pi2ld << endl;
//
// 初始化全局字符串
LoadStringW(hInstance, IDS_APP_TITLE, szTitle, MAX_LOADSTRING);
LoadStringW(hInstance, IDC_PROJECT1CLZZ002BILLIARD181010B2, szWindowClass, MAX_LOADSTRING);
MyRegisterClass(hInstance);
// 执行应用程序初始化:
if (!InitInstance (hInstance, nCmdShow))
{
return FALSE;
}
HACCEL hAccelTable = LoadAccelerators(hInstance, MAKEINTRESOURCE(IDC_PROJECT1CLZZ002BILLIARD181010B2));
MSG msg;
// 主消息循环:
while (GetMessage(&msg, nullptr, 0, 0))
{
if (!TranslateAccelerator(msg.hwnd, hAccelTable, &msg))
{
TranslateMessage(&msg);
DispatchMessage(&msg);
}
}
return (int) msg.wParam;
}
//
// 函数: MyRegisterClass()
//
// 目标: 注册窗口类。
//
ATOM MyRegisterClass(HINSTANCE hInstance)
{
WNDCLASSEXW wcex;
wcex.cbSize = sizeof(WNDCLASSEX);
wcex.style = CS_HREDRAW | CS_VREDRAW;
wcex.lpfnWndProc = WndProc;
wcex.cbClsExtra = 0;
wcex.cbWndExtra = 0;
wcex.hInstance = hInstance;
wcex.hIcon = LoadIcon(hInstance, MAKEINTRESOURCE(IDI_PROJECT1CLZZ002BILLIARD181010B2));
wcex.hCursor = LoadCursor(nullptr, IDC_ARROW);
wcex.hbrBackground = (HBRUSH)(COLOR_WINDOW+1);
wcex.lpszMenuName = MAKEINTRESOURCEW(IDC_PROJECT1CLZZ002BILLIARD181010B2);
wcex.lpszClassName = szWindowClass;
wcex.hIconSm = LoadIcon(wcex.hInstance, MAKEINTRESOURCE(IDI_SMALL));
return RegisterClassExW(&wcex);
}
//
// 函数: InitInstance(HINSTANCE, int)
//
// 目标: 保存实例句柄并创建主窗口
//
// 注释:
//
// 在此函数中，我们在全局变量中保存实例句柄并
// 创建和显示主程序窗口。
//
BOOL InitInstance(HINSTANCE hInstance, int nCmdShow)
{
hInst = hInstance; // 将实例句柄存储在全局变量中
HWND hWnd = CreateWindowW(szWindowClass, szTitle, WS_OVERLAPPEDWINDOW,
CW_USEDEFAULT, 0, CW_USEDEFAULT, 0, nullptr, nullptr, hInstance, nullptr);
if (!hWnd)
{
return FALSE;
}
ShowWindow(hWnd, nCmdShow);
UpdateWindow(hWnd);
return TRUE;
}
//
//
//p01 定义：当1号圆(大圆)在上的时候,0度位置(右侧)的为p01,左侧为p02
// 当1号圆(大圆)在左的时候，90度位置(上方)的为p01,下方:270度位置为p02
//
long double EduclidDistanceOrWhethShortest(long double x1, long double y1, long double x2, long double y2) {//33000
long double tmp_ld = (x1 - x2)*(x1 - x2) + (y1 - y2)*(y1 - y2);
return (tmp_ld );
}//33000
//
//为图形旋转、变形、做的封装
int SetPixe01d(HDC hdc, double x01, double y01, COLORREF rgb1) {
SetPixel(hdc, x01, 700 - y01, rgb1);//
return 1;
}//int SetPixe02
//
//重新绘图函数模块：
int wm01paint01(HWND hWnd, PAINTSTRUCT ps, HDC hdc) {//int wm01paint01 //1100
//
int C1_200_R01 = 400;//大圆半径（又称1号圆半径)
int C2_200_R02 = 200;//小圆半径又称2号圆
int c1Bpianyi_B1 = 0; //大圆用初始值-（圆心的偏移量横坐标-上下坐标(暂时)为0
int c1Apianyi_A1 = 400;//大圆圆心位置-坐标(左右坐标
int c2Bpianyi_B2 = 300;//小圆圆心位置-上下坐标
int c2Apianyi_A2 = 400;//小圆圆心位置-左右坐标
int c1C2_Distance = 300;//两圆圆心间距
//
//文件流操作
ofstream outStream;
ofstream outStrea0m2;
ofstream outStrea0m3;
outStream.open("f://out18File1011.txt");
outStrea0m2.open("f://out18File1011a1.txt");
outStrea0m3.open("f://out18File1012b3.txt");
//
//找交点,P1
{
//找P1交点
long double Shortest_euclidDistance001 = 999999999999999.8751; //99999 99999 99999.875f是精确表达上限(小数点前15个9
//迭代、逼近找两圆交点
//
for (long i1 = 60.93*1000; i1 <= 61.95*1000; ++i1) {//for1100i1
//根据极坐标参数求笛卡尔直角坐标点：
long double c1_rad1 = (long double)PIld*((long double)i1 / 180.0) /1000;
long double c1_a001 = C1_200_R01 * cos(c1_rad1); //int c1_a001 = C1_200_R01 * cos(c1_rad1);
long double c1_b001 = C1_200_R01 * sin(c1_rad1);
//
for (long j2 = 14.46*1000; j2 <= 14.49*1000; ++j2) {//for2100j2
long double c2_rad02 = (long double)PIld *((long double)j2 / 180.0)/1000;
long double c2_a001 = C2_200_R02 * cos(c2_rad02); //int c2_a001 = C2_200_R02 * cos(c2_rad02);
long double c2_b002 = C2_200_R02 * sin(c2_rad02);
//两个坐标的4个值取精度,后比较
long double doub_c1_a001 = (long double)c1Apianyi_A1 * 10000 + ((long double)c1_a001 * 10000); //最高不要超过15个0
long double doub_c1_b001 = c1Bpianyi_B1 * 10000 + c1_b001 * 10000;
long double doub_c2_a001 = c2Apianyi_A2 * 10000 + c2_a001 * 10000;
long double doub_c2_b002 = c2Bpianyi_B2 * 10000 + c2_b002 * 10000;
outStream << "[C1rad:" << c1_rad1 << "]:";
outStream << "{C1角度:" << i1 << "}";
outStream << "[坐标c1A1:" << doub_c1_a001 << "]";
outStream << "[c1B1:" << doub_c1_b001 << "]";
outStream << "[C2rad2:" << c2_rad02 << "]:";
outStream << "{C2角度:" << j2 << "]";
outStream << "[c2A1:" << doub_c2_a001 << "]";
outStream << "[c2B1:" << doub_c2_b002 << "]" << endl;
long double tmpEduclidDist01 = EduclidDistanceOrWhethShortest(doub_c1_a001, doub_c1_b001, doub_c2_a001, doub_c2_b002);
outStream << "{欧氏距离:" << tmpEduclidDist01 << "}" << endl;
// EduclidDistanceOrWhethShortest参数 (x1,y1,x2,y2);
if (Shortest_euclidDistance001 > tmpEduclidDist01) {//if2100
Shortest_euclidDistance001 = tmpEduclidDist01;
//
outStrea0m2 << "[C1rad:" << c1_rad1 << "]:";
outStrea0m2 << "{C1角度:" << i1 << "}";
outStrea0m2 << "[坐标c1A1:" << doub_c1_a001 << "]";
outStrea0m2 << "[c1B1:" << doub_c1_b001 << "]";
outStrea0m2 << "[C2rad2:" << c2_rad02 << "]:";
outStrea0m2 << "{C2角度:" << j2 << "]";
outStrea0m2 << "[c2A1:" << doub_c2_a001 << "]";
outStrea0m2 << "[c2B1:" << doub_c2_b002 << "]" << endl;
outStrea0m2 << "{欧氏距离:" << tmpEduclidDist01 << "}" << endl;
SetPixe01d(hdc, c2Apianyi_A2 + c2_a001, c2Bpianyi_B2 + c2_b002, RGB(255, 200, 0)); //绿色
//
}//if2100
else {//if2100else2100
SetPixe01d(hdc, c2Apianyi_A2 + c2_a001, c2Bpianyi_B2 + c2_b002, RGB(0, 200, 0)); //绿色
}//if2100else2100
}//for2100j2
//绘制大圆(或外圆)
SetPixe01d(hdc, c1Apianyi_A1 + c1_a001, c1Bpianyi_B1 + c1_b001, RGB(200, 200, 0));// 228, 0));//黄
//
}//for1100i1//
//(阶段)结果:
//[C1rad:1.06535]:{C1角度:6104}[坐标c1A1:5.9368e+06][c1B1:3.49983e+06][C2rad2:0.252549]:{C2角度:14.47][c2A1:5.93656e+06][c2B1:3.49975e+06]
//{欧氏距离:64181.4}
//再迭代:
//[C1rad:1.06544]:{C1角度:61.045}[坐标c1A1:5.93649e+06][c1B1:3.5e+06][C2rad2:0.252689] : {C2角度:14.478][c2A1:5.93649e+06][c2B1:3.50002e+06]{ 欧氏距离:253.008 }
//结果，收敛和吻合得很好
//C1:61.045(角度) C2:14.478 就是答案
}//找交点P1-结束
//继续找交点
//找交点P2:
{//找交点P2代码块110
//找交点P2
ofstream outStrea0m02b2;
outStrea0m02b2.open("f://out18File1012b2b2.txt");
long double Shortest_euclidDistance002 = 999999999999999.8751; //99999 99999 99999.875f是精确表达上限(小数点前15个9
//迭代、逼近找两圆交点
//
for (long i1 = 118.85*1000; i1 <= 119.99*1000; ++i1) {//for1100i1
//根据极坐标参数求笛卡尔直角坐标点：
long double c1_rad1 = (long double)PIld*((long double)i1 / 180.0)/1000;
long double c1_a001 = C1_200_R01 * cos(c1_rad1); //int c1_a001 = C1_200_R01 * cos(c1_rad1);
long double c1_b001 = C1_200_R01 * sin(c1_rad1);
//
for (long j2 = 165.0*1000; j2 <=166.00 *1000; ++j2) {//for2100j2
long double c2_rad02 = (long double)PIld *((long double)j2 / 180.0)/1000;
long double c2_a001 = C2_200_R02 * cos(c2_rad02); //int c2_a001 = C2_200_R02 * cos(c2_rad02);
long double c2_b002 = C2_200_R02 * sin(c2_rad02);
//两个坐标的4个值取精度,后比较
long double doub_c1_a001 = (long double)c1Apianyi_A1 * 10000 + ((long double)c1_a001 * 10000); //最高不要超过15个0
long double doub_c1_b001 = c1Bpianyi_B1 * 10000 + c1_b001 * 10000;
long double doub_c2_a001 = c2Apianyi_A2 * 10000 + c2_a001 * 10000;
long double doub_c2_b002 = c2Bpianyi_B2 * 10000 + c2_b002 * 10000;
outStream << "[C1rad:" << c1_rad1 << "]:";
outStream << "{C1角度:" << i1 << "}";
outStream << "[坐标c1A1:" << doub_c1_a001 << "]";
outStream << "[c1B1:" << doub_c1_b001 << "]";
outStream << "[C2rad2:" << c2_rad02 << "]:";
outStream << "{C2角度:" << j2 << "]";
outStream << "[c2A1:" << doub_c2_a001 << "]";
outStream << "[c2B1:" << doub_c2_b002 << "]" << endl;
long double tmpEduclidDist01 = EduclidDistanceOrWhethShortest(doub_c1_a001, doub_c1_b001, doub_c2_a001, doub_c2_b002);
outStream << "{欧氏距离:" << tmpEduclidDist01 << "}" << endl;
// EduclidDistanceOrWhethShortest参数 (x1,y1,x2,y2);
if (Shortest_euclidDistance002 > tmpEduclidDist01) {//if2100
Shortest_euclidDistance002 = tmpEduclidDist01;
//
outStrea0m02b2 << "[C1rad:" << c1_rad1 << "]:";
outStrea0m02b2 << "{C1角度:" << i1 << "}";
outStrea0m02b2 << "[坐标c1A1:" << doub_c1_a001 << "]";
outStrea0m02b2 << "[c1B1:" << doub_c1_b001 << "]";
outStrea0m02b2 << "[C2rad2:" << c2_rad02 << "]:";
outStrea0m02b2 << "{C2角度:" << j2 << "]";
outStrea0m02b2 << "[c2A1:" << doub_c2_a001 << "]";
outStrea0m02b2 << "[c2B1:" << doub_c2_b002 << "]" << endl;
outStrea0m02b2 << "{欧氏距离:" << tmpEduclidDist01 << "}" << endl;
SetPixe01d(hdc, c2Apianyi_A2 + c2_a001, c2Bpianyi_B2 + c2_b002, RGB(255, 200, 0)); //绿色
//
}//if2100
else {//if2100else2100
SetPixe01d(hdc, c2Apianyi_A2 + c2_a001, c2Bpianyi_B2 + c2_b002, RGB(0, 200, 0)); //绿色
}//if2100else2100
}//for2100j2
//绘制大圆(或外圆)
SetPixe01d(hdc, c1Apianyi_A1 + c1_a001, c1Bpianyi_B1 + c1_b001, RGB(200, 200, 0));// 228, 0));//黄
//
}//for1100i1//
//(阶段)结果:
//[C1rad:2.07624]:{C1角度:118.96}[坐标c1A1:2.0632e+06][c1B1:3.49983e+06][C2rad2:2.88904]:{C2角度:165.53][c2A1:2.06344e+06][c2B1:3.49975e+06]
//{欧氏距离:64181.4}
//再迭代:
//[C1rad:2.07616]:{C1角度:118955}[坐标c1A1:2.06351e+06][c1B1:3.5e+06][C2rad2:2.8889]: {C2角度:165522][c2A1:2.06351e+06][c2B1:3.50002e+06]{欧氏距离:253.008}
//P1点：C1:61.045(角度) C2:14.478
//P2点：C1:118.955 C2:165.522 就是答案(相交点得角度
//验证： 90-61.045= ( 28.955)== 118.955-90=28.955
//同样验证： 90-14.478=(75.522)== 165.522-90=75.522
}//找交点P2代码块110
//找交点P2-End
//
return 1;
}//int wm01paint01 //1100
//
// 函数: WndProc(HWND, UINT, WPARAM, LPARAM)
//
// 目标: 处理主窗口的消息。
//
// WM_COMMAND - 处理应用程序菜单
// WM_PAINT - 绘制主窗口
// WM_DESTROY - 发送退出消息并返回
//
//
LRESULT CALLBACK WndProc(HWND hWnd, UINT message, WPARAM wParam, LPARAM lParam)
{
switch (message)
{
case WM_COMMAND:
{
int wmId = LOWORD(wParam);
// 分析菜单选择:
switch (wmId)
{
case IDM_ABOUT:
DialogBox(hInst, MAKEINTRESOURCE(IDD_ABOUTBOX), hWnd, About);
break;
case IDM_EXIT:
DestroyWindow(hWnd);
break;
default:
return DefWindowProc(hWnd, message, wParam, lParam);
}
}
break;
case WM_PAINT:
{//case110
PAINTSTRUCT ps;
HDC hdc = BeginPaint(hWnd, &ps);
// TODO: 在此处添加使用 hdc 的任何绘图代码...
//
wm01paint01(hWnd, ps, hdc);//每次重建窗口，则重新绘图
//
EndPaint(hWnd, &ps);
}//case110
break;
case WM_DESTROY:
PostQuitMessage(0);
break;
default:
return DefWindowProc(hWnd, message, wParam, lParam);
}
return 0;
}
// “关于”框的消息处理程序。
INT_PTR CALLBACK About(HWND hDlg, UINT message, WPARAM wParam, LPARAM lParam)
{
UNREFERENCED_PARAMETER(lParam);
switch (message)
{
case WM_INITDIALOG:
return (INT_PTR)TRUE;
case WM_COMMAND:
if (LOWORD(wParam) == IDOK || LOWORD(wParam) == IDCANCEL)
{
EndDialog(hDlg, LOWORD(wParam));
return (INT_PTR)TRUE;
}
break;
}
return (INT_PTR)FALSE;
}
```
- vs2017宇宙最伟大IDE用Console等调试汇总
- c++Win32起始鼠标作图181101
- 用迭代法找(两圆的)交点-精确计算迭代并改进-数值周期1810
- 精度-比例关系181110P2点
- 用迭代法求找两圆交点-精度计算181111A
- 月亮型-大小圆-上下圆算法181121
- 用c++的数学计算及图形绘制总结之1/共4-181101
- 用c++做数学计算及图形绘制总结之2/4-181102
- 用c++做数学计算及图形绘制总结之3/4-181103
- 用c++做数学计算及图形绘制总结4/4-181104
- 用c++的移位代替乘除运算181105
- 重构billiard2圆相交-非递归181101-非预料内图形-原因分析181201
- 重构月亮型billiard202圆相交-非递归181102-非预料内图形-原因分析181202
- 重构月亮型billiard202圆相交-非递归181102b-非预料内图形-原因分析181202b
- 单椭圆(非递归)18圣诞后-ok版181225