1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 | unit Unit1;
interface
uses
Windows, Messages, SysUtils, Variants, Classes, Graphics, Controls, Forms,
Dialogs, ExtCtrls, StdCtrls, Buttons;
type
matrix = array[1..4,1..4] of real;
vector = array[1..4] of real;
TForm1 = class(TForm)
Image1: TImage;
BitBtn1: TBitBtn;
BitBtn2: TBitBtn;
BitBtn3: TBitBtn;
BitBtn4: TBitBtn;
BitBtn6: TBitBtn;
BitBtn7: TBitBtn;
function ii(x:real):integer;
function jj(y:real):integer;
function Mult_matr_vect(m:matrix;v:vector):vector;
function Mult_matr(m1,m2:matrix):matrix;
procedure Draw(m:matrix);
procedure BitBtn1Click(Sender: TObject);
procedure BitBtn2Click(Sender: TObject);
procedure BitBtn3Click(Sender: TObject);
procedure BitBtn4Click(Sender: TObject);
procedure BitBtn6Click(Sender: TObject);
procedure BitBtn7Click(Sender: TObject);
procedure FormCreate(Sender: TObject);
private
public
end;
const
D_plus:matrix=((1.1,0,0,0),
(0,1.1,0,0),
(0,0,1.1,0),
(0,0,0,1));
D_minus:matrix=((0.9,0,0,0),
(0,0.9,0,0),
(0,0,0.9,0),
(0,0,0,1));
cosp=0.9945;
sinp=0.1045;
Matr1:matrix=((1,0,0,0),
(0,1,0,0),
(0,0,1,0),
(0,0,0,1));
Rx:matrix=((1,0,0,0),
(0,cosp,sinp,0),
(0,-sinp,cosp,0),
(0,0,0,1));
Ry:matrix=((cosp,0,-sinp,0),
(0,1,0,0),
(sinp,0,cosp,0),
(0,0,0,1));
Rz:matrix=((cosp,sinp,0,0),
(-sinp,cosp,0,0),
(0,0,1,0),
(0,0,0,1));
PRO:matrix=((1,0,0,0),
(0,1,0,0),
(0.35,0.35,0,0),
(0,0,0,1));
e1:vector=(1,0,0,1);
e2:vector=(0,1,0,1);
e3:vector=(0,0,1,1);
var
Form1: TForm1;
x0:real=-4;
x1:real=4;
y0:real=-4;
y1:real=4;
mat:matrix;
implementation
{$R *.dfm}
function TForm1.Mult_matr_vect(m:matrix;v:vector):vector;
var
w:vector;
k,l:integer;
s:real;
begin
for k:=1 to 4 do
begin
s:=0;
for l:=1 to 4 do
s:=s+v[l]*m[k,l];
w[k]:=s;
end;
result:=w;
end;
function TForm1.ii(x:real):integer;
begin
ii:=trunc((x-x0)/(x1-x0)*Form1.Image1.Width);
end;
function TForm1.jj(y:real):integer;
begin
jj:=trunc((y1-y)/(y1-y0)*Form1.Image1.Height);
end;
function TForm1.Mult_matr(m1,m2:matrix):matrix;
var
k,l,n:integer;
w:matrix;
s:real;
begin
for k:=1 to 4 do
begin
for l:=1 to 4 do
begin
s:=0;
for n:=1 to 4 do
s:=s+m1[k,n]*m2[n,l];
w[k,l]:=s;
end;
end;
result:=w;
end;
procedure TForm1.Draw(m:matrix);
var
a,b,c:vector;
i,j,w,h,Ic,Jc:integer;
t:real;
procedure figur(c1,c2,c3,c4:real);
begin
c[1]:=c1;
c[2]:=c2;
c[3]:=c3;
c[4]:=c4;
a:=Mult_matr_vect(m,c);
b:=Mult_matr_vect(PRO,a);
i:=ii(b[1]);
j:=jj(b[2]);
Form1.Image1.Canvas.Pixels[i,j]:=clred;
end;
procedure koord(e:vector; ch:char);
begin
a:=Mult_matr_vect(m,e);
b:=Mult_matr_vect(PRO,a);
i:=ii(b[1]);
j:=jj(b[2]);
Form1.Image1.Canvas.MoveTo(Ic,Jc);
Form1.Image1.Canvas.LineTo(i,j);
Form1.Image1.Canvas.TextOut(i,j,ch);
end;
begin
w:=Form1.Image1.Width-1;
h:=Form1.Image1.Height-1;
Ic:=w div 2;
Jc:=h div 2;
Form1.Image1.Canvas.Rectangle(0,0,w,h);
koord(e1,'X');
koord(e2,'Y');
koord(e3,'Z');
t:=-1;
while t<1 do
begin
figur(t,t*t,0,1);
figur(t,t*t+0.25,0.5,1);
figur(t,t*t+0.25,-0.5,1);
figur(0,t*t,t,1);
figur(0.5,t*t+0.25,t,1);
figur(-0.5,t*t+0.25,t,1);
figur(-1,t*t+1,t,1);
figur(1,t*t+1,t,1);
figur(t,t*t+1,-1,1);
figur(t,t*t+1,1,1);
t:=t+0.001;
end;
end;
procedure TForm1.BitBtn1Click(Sender: TObject);
begin
mat:=Mult_matr(mat,Rx);
Draw(mat);
end;
procedure TForm1.BitBtn2Click(Sender: TObject);
begin
mat:=Mult_matr(mat,Ry);
Draw(mat);
end;
procedure TForm1.BitBtn3Click(Sender: TObject);
begin
mat:=Mult_matr(mat,Rz);
Draw(mat);
end;
procedure TForm1.BitBtn4Click(Sender: TObject);
begin
close;
end;
procedure TForm1.BitBtn6Click(Sender: TObject);
begin
mat:=Mult_matr(mat,D_plus);
Draw(mat);
end;
procedure TForm1.BitBtn7Click(Sender: TObject);
begin
mat:=Mult_matr(mat,D_minus);
Draw(mat);
end;
procedure TForm1.FormCreate(Sender: TObject);
begin
image1.Width:=ClientWidth;
image1.Height:=ClientHeight-50;
Draw(Matr1);
mat:=Matr1;
end;
end.
|
30.11.2008, 19:32
Древовидный вид