T3X Example Programs

Examples: fibonacci | mandelbrot | number-conversion | strings

Draw a Mandelbrot set using ASCII characters. See the program output here.

! Denominator for fixed-point computations
const   SCALE = 100;

! ASCII renditions of filled rectangles:
const   FULL    = 'M',  ! completely filled
        UPPER   = '"',  ! upper half filled
        LOWER   = 'm',  ! lower half filled
        EMPTY   = '\s'; ! empty

! Compute the color of a point x+yi
f(x, y) do
    var cr, ci, zr, zi, ir;
    var i;

    zr := 0;            ! z = 0+0i
    zi := 0;
    cr := x*SCALE/25;   ! c = x+yi
    ci := y*SCALE/20;
    ! try 100 iterations
    for (i=0, 100) do
        ! z := z^2+c
        ir := zr*zr/SCALE - zi*zi/SCALE;
        zi := zr*zi/SCALE + zi*zr/SCALE + ci;
        zr := ir + cr;
        ! if |z| > 2+2i, x+yi is not a member
        ! of the Mandelbrot set M
        if (zi > 2*SCALE \/ zr > 2*SCALE \/
            zi < -2*SCALE\/ zr < -2*SCALE
        )
            return 0;
    end
    ! |z| <= 2+2i after 100 iterations,
    ! so x+yi is probably in M
    return %1;
end

do
    var x, y, r;    ! coordinates, point color
    var line::79;   ! line buffer
    var even;       ! even line flag

    even := 0;
    for (y=-24, 25) do      ! lines
        for (x=-59, 20) do  ! columns
            r := \f(x,y);
            ! When drawing an even line,
            ! merge the color of r into the
            ! current rectangle ...
            ie (even)
                line::(x+59) :=
                    line::(x+59)->
                        ! odd point was on
                        r-> FULL: UPPER:
                        ! odd point was off
                        r-> LOWER: EMPTY;
            ! ... else just memorize the color
            else
                line::(x+59) := r;
        end
        ! Even line completed, print it
        if (even) do
            t.write(1, line, 79);
            t.write(1, "\n", 1);
        end
        even := \even;
    end
end

Program Output

MMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMmMMMMMMMMMMMMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM" MM"MMMMMMMMMMMMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM"     "MMMMMMMMMMMMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM"MMM"     MM"MMMMMMMMMMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM  ""             """""MMMMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM""                       MMMMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM"                          "MMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMMMMMMMMM""M" """"MM                            MMMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMMMMMMM""         ""                            mMMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMM"MM"                                          mMMMMMMMMMM
MMMMMMMMMmmmmmmmmmmmmm mm                                         ""MMMMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMMMMMmm                                         MMMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMMMMMMMMM  m      MM                            mMMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMmMMMMMMm                           "MMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM                         mMMMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMm                      MMMMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMmmM"mmm      mm mMMMMMMMMMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM"     "MMMMMMMMMMMMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMm  mm"MMMMMMMMMMMMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMmMMMMMMMMMMMMMMMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMmMMMMMMMMMMMMMMMMMMM
MMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM