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from settings access outformat;
outformat="pdf";
unitsize(1mm);
int pgw = 210;
int pgh = 297;
size(pgw, pgh);
int sqsz = pgw;
// C6: 114 x 162 mm
int envh = 114;
int envw = 162;
string envfmt = "C6";
// A6: 105 x 148 mm
// debugging tool
bool with_labels = true;
// It is unpractical to try emulating second quadrant. We will work in the
// first quadrant with the origin at the bottom-left corner of the square (not
// the whole page). Therefore, the bottom edge of the page is at y=(210-297)
int pgbot = 210-297;
//Force A4 size
//draw((0,pgbot) -- (0, sqsz) -- (sqsz, sqsz) -- (sqsz, pgbot) -- cycle, invisible);
// gimme a square?
if (with_labels) draw(box((0,0), (210,210)), p=red);
pair envc = (sqsz/2, sqsz/2);
// Write a paper type to the image?
label(rotate(45)*scale(4)*Label(envfmt, envc, p=gray));
pair corn_vec = unit((1,1)) * (envw/2) + unit((1,-1)) * (envh/2);
pair flip(pair p) {
return p - unit((1, -1)) * envh;
}
pair[] corners = {
envc + corn_vec,
envc + flip(corn_vec),
envc - corn_vec,
envc - flip(corn_vec),
};
// Draw the base rectangle
draw(corners[0] -- corners[1] -- corners[2] -- corners[3] -- cycle, p=gray+dashed);
if (with_labels) {
label("$E_0$", corners[0]);
label("$E_1$", corners[1]);
label("$E_2$", corners[2]);
label("$E_3$", corners[3]);
}
// Enlarge the sides:
//llba: line at left bottom, A side
pair llba = (1, 1);
real llbb = dot(llba, corners[2]);
pair llta = (1, -1);
real lltb = dot(llta, corners[2]);
pair lrba = (1, -1);
real lrbb = dot(lrba, corners[0]);
pair lrta = (1, 1);
real lrtb = dot(lrta, corners[0]);
pair lineinters(pair l1a, real l1b, pair l2a, real l2b) {
// For some reason, solve does not like having the matrices right in the
// parameters? (Or I made a stupid error in parentheses…)
real[][] a = {{l1a.x, l1a.y}, {l2a.x, l2a.y}};
real[] b = {l1b, l2b};
real[] solution = solve(a,b);
return (solution[0], solution[1]);
}
// Cutouts at all the sides:
// Left: (cutout left first point)
// Left edge: x = 0 = 1x + 0y
pair cl1 = lineinters(llba, llbb, (1, 0), 0);
pair cl2 = lineinters(llta, lltb, (1, 0), 0);
// right
pair cr1 = lineinters(lrba, lrbb, (1, 0), sqsz);
pair cr2 = lineinters(lrta, lrtb, (1, 0), sqsz);
// bottom
pair cb1 = lineinters(llba, llbb, (0, 1), 0);
pair cb2 = lineinters(lrba, lrbb, (0, 1), 0);
// top
pair ct1 = lineinters(llta, lltb, (0, 1), sqsz);
pair ct2 = lineinters(lrta, lrtb, (0, 1), sqsz);
if (with_labels) {
label("$CL_1$", cl1);
label("$CL_2$", cl2);
label("$CR_1$", cr1);
label("$CR_2$", cr2);
label("$CT_1$", ct1);
label("$CT_2$", ct2);
label("$CB_1$", cb1);
label("$CB_2$", cb2);
}
// We do not make the envelope fully symmetric, instead we trim the side
// lobes near the cover.
cr1 = (corners[0].x, sqsz);
cb2 = (0, corners[3].y);
// Draw the cutouts
draw(cl1 -- corners[2] -- cl2);
draw(cr1 -- corners[0] -- cr2);
draw(cb1 -- corners[3] -- cb2);
draw(ct1 -- corners[1] -- ct2);