Difference between revisions of "complex number"
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writeLn('x = ', x.re, ' + ', x.im, 'i'); | writeLn('x = ', x.re, ' + ', x.im, 'i'); | ||
end. | end. | ||
+ | </syntaxhighlight> | ||
+ | |||
+ | Another demo, which shows how to use functions "cinit" (assign value), "cstr" (convert value to string), "csin" (sinus): | ||
+ | <syntaxhighlight lang="pascal"> | ||
+ | program ComplexDemo2; | ||
+ | uses | ||
+ | uComplex; | ||
+ | const | ||
+ | L = 0; | ||
+ | D = 3; | ||
+ | var | ||
+ | c1, c2: complex; | ||
+ | begin | ||
+ | c1 := cinit(1.0, 1.0); | ||
+ | c2 := cinit(2.0, -2.0); | ||
+ | WriteLn('c1 = ' + cstr(c1, L, D)); | ||
+ | WriteLn('c2 = ' + cstr(c2, L, D)); | ||
+ | WriteLn('c1+c2 = ' + cstr(c1+c2, L, D)); | ||
+ | WriteLn('c1-c2 = ' + cstr(c1-c2, L, D)); | ||
+ | WriteLn('c1*c2 = ' + cstr(c1*c2, L, D)); | ||
+ | WriteLn('c1/c2 = ' + cstr(c1/c2, L, D)); | ||
+ | WriteLn('sin(c1) = ' + cstr(csin(c1), L, D)); | ||
+ | ReadLn; | ||
+ | end. | ||
</syntaxhighlight> | </syntaxhighlight> | ||
Revision as of 14:53, 4 August 2022
│
English (en) │
français (fr) │
Complex numbers is a mathematical concept providing solutions to equations such as [math]\displaystyle{ x^2 = -1 }[/math].
In FPC's default runtime library the unit uComplex
defines a type complex
and lots of operator and other functions.
u
in uComplex
stands for the Greek letter μ, meaning “micro”, as the implementation is kept as simple as possible.
In extended Pascal, which FPC plans to implement one day, the data type complex
is defined as part of the language.
program complexDemo(input, output, stderr);
uses
uComplex;
var
x, y: complex;
begin
// specifying real and imaginary part
x := -5 + 2 * i;
// specifying magnitude and phase angle
// y := sqrt(2) * (cos(pi/4) + i * sin(pi/4))
y.re := 1;
y.im := 1;
x := x + y;
// there is no toString functionality:
writeLn('x = ', x.re, ' + ', x.im, 'i');
end.
Another demo, which shows how to use functions "cinit" (assign value), "cstr" (convert value to string), "csin" (sinus):
program ComplexDemo2;
uses
uComplex;
const
L = 0;
D = 3;
var
c1, c2: complex;
begin
c1 := cinit(1.0, 1.0);
c2 := cinit(2.0, -2.0);
WriteLn('c1 = ' + cstr(c1, L, D));
WriteLn('c2 = ' + cstr(c2, L, D));
WriteLn('c1+c2 = ' + cstr(c1+c2, L, D));
WriteLn('c1-c2 = ' + cstr(c1-c2, L, D));
WriteLn('c1*c2 = ' + cstr(c1*c2, L, D));
WriteLn('c1/c2 = ' + cstr(c1/c2, L, D));
WriteLn('sin(c1) = ' + cstr(csin(c1), L, D));
ReadLn;
end.
see also
- DMath, a mathematical library also containing a complex number implementation
- LMath, further development of LMath library, with completer support for complex numbers, where operators over them are defined.
- NumLib documentation, where
typ.complex
is anobject