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#pragma once
namespace Guschin {
using namespace System;
using namespace System::ComponentModel;
using namespace System::Collections;
using namespace System::Windows::Forms;
using namespace System::Data;
using namespace System::Drawing;
using namespace std;
vec2 Vc;
vec2 V;
vec2 Vc_work, V_work;
mat3 T;
mat3 initT;
public ref class MyForm : public System::Windows::Forms::Form
{
public:
MyForm(void)
{
InitializeComponent();
}
protected:
~MyForm()
{
if (components)
{
delete components;
}
}
private:
System::ComponentModel::Container ^components;
#pragma region Windows Form Designer generated code
void InitializeComponent(void)
{
this->SuspendLayout();
//
// MyForm
//
this->AutoScaleDimensions = System::Drawing::SizeF(8, 16);
this->AutoScaleMode = System::Windows::Forms::AutoScaleMode::Font;
this->ClientSize = System::Drawing::Size(737, 686);
this->DoubleBuffered = true;
this->KeyPreview = true;
this->Margin = System::Windows::Forms::Padding(4);
this->Name = L"MyForm";
this->Text = L"MyForm";
this->Load += gcnew System::EventHandler(this, &MyForm::MyForm_Load);
this->Paint += gcnew System::Windows::Forms::PaintEventHandler(this, &MyForm::MyForm_Paint);
this->KeyDown += gcnew System::Windows::Forms::KeyEventHandler(this, &MyForm::MyForm_KeyDown);
this->Resize += gcnew System::EventHandler(this, &MyForm::MyForm_Resize);
this->ResumeLayout(false);
}
#pragma endregion
private:
float left = 30, right = 100, top = 20, bottom = 50;
float minX = left, maxX;
float minY = top, maxY;
float Wcx = left, Wcy;
float Wx, Wy;
int numXsect = 5, numYsect = 5;
private:
System::Void rectCalc() {
maxX = ClientRectangle.Width - right;
maxY = ClientRectangle.Height - bottom;
Wcy = maxY;
Wx = maxX - left;
Wy = maxY - top;
}
System::Void worldRectCalc()
{
Vc_work = normalize(T * vec3(Vc, 1.f));
V_work = mat2(T) * V;
}
float f(float x)
{
return tan(x);
}
bool f_exists(float x, float delta)
{
return fabs(2.f * acos(cos(x)) - Math::PI) > delta;
}
private:
System::Void MyForm_Resize(System::Object^ sender, System::EventArgs^ e) {
rectCalc();
Refresh();
}
private:
System::Void MyForm_Paint(System::Object^ sender, System::Windows::Forms::PaintEventArgs^ e) {
Graphics^ g = e->Graphics;
g->Clear(Color::Aquamarine);
Pen^ rectPen = gcnew Pen(Color::Black, 2);
g->DrawRectangle(rectPen, left, top, Wx, Wy);
Pen^ pen = gcnew Pen(Color::Blue, 1);
float deltaX = V_work.x / Wx;
bool hasStart, hasEnd;
vec2 start, end;
float x, y;
start.x = Wcx;
x = Vc_work.x;
hasStart = f_exists(x, deltaX);
if (hasStart)
{
y = f(x);
start.y = Wcy - (y - Vc_work.y) / V_work.y * Wy;
}
float deltaY;
float red, green, blue;
while (start.x < maxX)
{
end.x = start.x + 1.f;
x += deltaX;
hasEnd = f_exists(x, deltaX);
if (hasEnd)
{
y = f(x);
deltaY = (y - Vc_work.y) / V_work.y;
end.y = Wcy - deltaY * Wy;
}
vec2 tmpEnd = end;
bool visible = hasStart && hasEnd && clip(start, end, minX, minY, maxX, maxY);
if (visible) {
if (deltaY > 1.f) deltaY = 1.f;
if (deltaY < 0.f) deltaY = 0.f;
green = 510.f * deltaY;
if (deltaY < 0.5)
{
blue = 255.f - green;
red = 0.f;
}
else
{
blue = 0.f;
red = green - 255.f;
green = 510.f - green;
}
pen->Color = Color::FromArgb(red, green, blue);
g->DrawLine(pen, start.x, start.y, end.x, end.y);
}
start = tmpEnd;
hasStart = hasEnd;
}
Pen^ gridPen = gcnew Pen(Color::Black, 1);
SolidBrush^ drawBrush = gcnew SolidBrush(Color::Black);
System::Drawing::Font^ drawFont = gcnew System::Drawing::Font("Arial", 8);
float gridStep_x = Wx / numXsect;
float grid_dX = V_work.x / numXsect;
float tick_x = Vc_work.x;
for (int i = 0; i <= numXsect; i++)
{
float tmpXCoord_v = Wcx + i * gridStep_x;
g->DrawLine(gridPen, tmpXCoord_v, Wcy, tmpXCoord_v, minY);
if (i > 0 && i < numXsect)
g->DrawString(tick_x.ToString("F4"), drawFont, drawBrush, tmpXCoord_v, Wcy);
tick_x += grid_dX;
}
float gridStep_y = Wy / numYsect;
float grid_dY = V_work.y / numYsect;
float tick_y = Vc_work.y;
for (int i = 0; i <= numYsect; i++)
{
float tmpYCoord_v = Wcy - i * gridStep_y;
g->DrawLine(gridPen, Wcx, tmpYCoord_v, maxX, tmpYCoord_v);
if (i > 0 && i < numYsect)
g->DrawString(tick_y.ToString("F4"), drawFont, drawBrush, maxX, tmpYCoord_v);
tick_y += grid_dY;
}
}
private:
System::Void MyForm_Load(System::Object^ sender, System::EventArgs^ e) {
initT = mat3(1.f);
T = initT;
Vc = vec2(-2.f, -2.f);
V = vec2(4.f, 4.f);
rectCalc();
worldRectCalc();
}
private:
System::Void MyForm_KeyDown(System::Object^ sender, System::Windows::Forms::KeyEventArgs^ e) {
float centerX = Vc_work.x + V_work.x / 2;
float centerY = Vc_work.y + V_work.y / 2;
switch (e->KeyCode) {
case Keys::Escape:
T = initT;
numXsect = 5;
numYsect = 5;
break;
case Keys::A:
T = translate(-V_work.x / Wx, 0.f) * T;
break;
case Keys::D:
T = translate(V_work.x / Wx, 0.f) * T;
break;
case Keys::S:
T = translate(0.f, -V_work.x / Wx) * T;
break;
case Keys::W:
T = translate(0.f, V_work.x / Wx) * T;
break;
case Keys::Z:
T = translate(-centerX, -centerY) * T;
T = scale(1.1) * T;
T = translate(centerX, centerY) * T;
break;
case Keys::X:
T = translate(-centerX, -centerY) * T;
T = scale(1 / 1.1) * T;
T = translate(centerX, centerY) * T;
break;
case Keys::T:
T = translate(-centerX, -centerY) * T;
T = scale(1.1, 1.f) * T;
T = translate(centerX, centerY) * T;
break;
case Keys::G:
T = translate(-centerX, -centerY) * T;
T = scale(1 / 1.1, 1.f) * T;
T = translate(centerX, centerY) * T;
break;
case Keys::Y:
T = translate(-centerX, -centerY) * T;
T = scale(1.f, 1.1) * T;
T = translate(centerX, centerY) * T;
break;
case Keys::H:
T = translate(-centerX, -centerY) * T;
T = scale(1.f, 1 / 1.1) * T;
T = translate(centerX, centerY) * T;
break;
case Keys::D1:
numXsect += 1;
break;
case Keys::D2:
if (numXsect > 3)
numXsect -= 1;
break;
case Keys::D3:
numYsect += 1;
break;
case Keys::D4:
if (numYsect > 3)
numYsect -= 1;
break;
default:
break;
}
worldRectCalc();
Refresh();
}
};
}
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