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function writeMsg(canvas, msg){
var lines = msg.split("\n");
var ctx = canvas.getContext("2d");
ctx.font = "9pt sans-serif"
for(var i = 0; i < lines.length; ++i){
ctx.fillText(lines[i], 5, 10 + 15 * i); }}
ctx.fillText(lines[i], 5, 10 + 16 * i); }}
// camera functions
function rotateView(norm, theta, cameracentric){
// camera centric uses the camera axes to perform the rotation instead of the space axes.
if(cameracentric) norm = matrix_mult(view_transform, [norm])[0];
var rotation = vector_rotation(norm, theta);
view_transform = matrix_mult(rotation, view_transform); }
function rotatePoint(point, axis, angle, center){
}
function rotateHorizontal(theta){
rotateView([0, 1, 0], theta, false); }
function rotateVertical(theta){
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ctx.stroke();
ctx.fillStyle = "rgba(0, 0, 0, 0.9)";
for(var k in solo_points){
var pt = point_projections[k];
if(pt) ctx.fillRect(pt[0] - 2, pt[1] - 2, 4, 4); }
//
// The following drawing of axes is to help provide an perspective
// The nuances of this draw behavior are created to provide visual cues for interpreting perspective and depth.
//
//
// axis lines and dots
ctx.beginPath();
var faxis_pt = project(canvas, vector_add(origin, [0, 0, forward_axis_size, 0, 0]), view_transform, origin);
var faxis_pt = project(canvas, vector_add(origin, [0, 0, forward_axis_size]), view_transform, origin);
var vaxis_pt = project(canvas, vector_add(origin, [0, -vertical_axis_size, 0]), view_transform, origin);
ctx.fillStyle = "rgba(0,0,0,0.9)";
var dot = vector_dot(view_transform[2], [0, 0, 1]);
var r = 3.2 - 1.8 * dot;
ctx.lineWidth = 1.333;
if(dot < 0){ // draw red square first to partially occlude with axes
ctx.fillStyle = "rgba(250, 0, 0, 0.9)";
ctx.fillRect(w/2 - 2, h/2 - 2, 4, 4); }
ctx.fillStyle = "rgba(0,0,0,0.9)";
if(faxis_pt){
ctx.moveTo(w/2, h/2);
ctx.lineTo(faxis_pt[0], faxis_pt[1]);
ctx.fillRect(faxis_pt[0] - 2, faxis_pt[1] - 2, 4, 4); }
ctx.lineTo(faxis_pt[0], faxis_pt[1]);
ctx.fillRect(faxis_pt[0] - r/2, faxis_pt[1] - r/2, r, r); }
if(vaxis_pt){
ctx.moveTo(w/2, h/2);
ctx.lineTo(vaxis_pt[0], vaxis_pt[1]);
ctx.fillRect(vaxis_pt[0] - 2, vaxis_pt[1] - 2, 4, 4); }
ctx.stroke();
ctx.stroke();
if(dot >= 0){ // draw red square last so it is not occluded by axes
ctx.fillStyle = "rgba(250, 0, 0, 0.9)";
ctx.fillRect(w/2 - 2, h/2 - 2, 4, 4); }
ctx.lineWidth = 1;
// red center dot.
ctx.fillStyle = "rgba(250, 0, 0, 0.9)";
ctx.fillRect(w/2 - 2, h/2 - 2, 4, 4);
for(var i = 0; i < selected_points.length; ++i){
var pt;
if(selected_points[i] == -1)
pt = [w/2, h/2];
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