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Pascal is a fundamental programming language introduced in mainstream education for the computer science discipline. While students with a knack for mathematical computing may find Pascal exercises manageable, others may face some difficulties. Explore the solution to Pascal exercises involving quadrilateral shapes below for an additional type of exercise in Pascal.
Solving Pascal Exercise: Quadrilateral Shapes
Pascal Exercise: Quadrilateral Challenge
Let's delve into the problem statement:
It's evident that this quadrilateral problem is intricately tied to mathematics.
- Convexity test of the quadrilateral: you should formulate the equations of the lines AB, BC, CD, DA and then ascertain if the two points lie on the same side or not.
- Area Section: The general formula to calculate the area for a non-intersecting polygon (vertices given either clockwise or counterclockwise) is:
0.5 * |x1*y2 + x2*y3 + x3*y4 + x4*y1 - x2*y1 - x3*y2 - x4*y3 - x1*y4|
Code Section for Pascal Quadrilateral Exercise
var x, y : array[1..5] of double;
procedure read_input;
var i : integer;
begin
for i := 1 to 4 do
readln(x[i], y[i]);
x[5] := x[1]; y[5] := y[1];
end;
function calculate_area : double;
var i : integer;
begin
calculate_area := 0;
for i := 1 to 4 do
calculate_area := calculate_area + x[i] * y[i + 1] - x[i + 1] * y[i];
calculate_area := 0.5 * abs(calculate_area);
end;
function ccw(x1, y1, x2, y2, x3, y3 : double) : double;
begin
ccw := (x2 - x1) * (y3 - y1) - (y2 - y1) * (x3 - x1);
end;
function is_convex : integer;
var i : integer;
t0 : double;
begin
t0 := ccw(x[1], y[1], x[2], y[2], x[3], y[3]);
for i := 2 to 3 do
if (t0 * ccw(x[i], y[i], x[i + 1], y[i + 1], x[i + 2], y[i + 2]) <= 0)=''>
exit(0);
exit(1);
end;
Above is a guide on how to solve and code for the Pascal Quadrilateral Exercise. It is hoped that with this article, you can understand and apply the approach to solve similar Pascal exercises. Additionally, you can refer to other Pascal exercises with solutions shared on Mytour.
