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<html>
<script src='matrix_vector_lib.js' ></script>
<script>
// TODO rotate selected points
// TODO control with zoom rotate or pan means that action is only applied to the camera not the selected points.
// TODO clicking and dragging on a line allows you to place a point somewhere on that line. Perhaps with the modifier key it would break up the existing line into line segments.
// TODO when lines are deleted, readd the solo points to the solo_points list
//
// TODO z for undo shift + z for redo.
//
// TODO
//
// TODO drop down minimalist menu in top right of canvas.
// drag to connect points
var canvas;
var origin = [0, 0, 0];
var frame_rate = 20;
var saveTimeout = 10*1000;
var forward_axis_size = 0.1;
var vertical_axis_size = 0.05;
var no_rotate_area = 0.80;
// to prevent camera from rotating beyond straight vertical
var vertical_camera_rotation = 0;
var zoom_dist = 1;
var zoom_factor = 0.83;
var zoom_scale = 2.667; // scalar zoom property.
var last_zoom_dist = 1;
// camera animation
var max_move_delta = 0.01;
var max_angle_delta = Math.PI;
var delta_horizontal_angle = 0;
var delta_vertical_angle = 0;
var delta_position = [0,0,0];
// Use to rotate selected points about a vector line
var selection_rotation_vector = null;
var rotation_center = origin.slice(0);
var points = []; //global
var solo_points = {};
var lines = [];
var point_projections = [];
var line_midpoint_projections = [];
var highlight_object = null;
var mouse_dragging = false;
var last_mouse_down = null;
var mouse_loc = null;
var MIN_DRAG_DIST = 10;
var POINT_HIGHLIGHT_DIST = 10;
var LINE_HIGHLIGHT_DIST = 15;
var selected_points = [];
var selected_lines = [];
var msg = //"3D drawing tool\n\n" +
"Select Left Click\n" +
"Rotate Right Click\n" +
"Move wasd, qe\n" +
"Copy Space\n" +
"Delete x\n" +
"\n" +
"Click the red dot to create a point\n" +
"Spam a motion key to increase speed\n";
var view_transform =
[[1, 0, 0],
[0, 1, 0],
[0, 0, 1]];
var key_state = {};
var key_state_augmentation_delay = 150; // the permissible time in milliseconds since the last key event to still allow the key state to augment instead of clearing.
var key_state_augmentation_timeout = 150; // the permissible time in milliseconds since the last key event to still allow the key state to augment instead of clearing.
function addKeyListener(keycode, func){
if(!key_state[keycode]) key_state[keycode] = {};
var key_obj = key_state[keycode];
if(!key_obj.listeners) key_obj.listeners = [];
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var state = key_obj.state;
if(state) return; //key is already pressed.
state = 0;
var latest = key_obj.latest;
if(latest && time - latest < key_state_augmentation_delay)
if(latest && time - latest < key_state_augmentation_timeout)
state = key_obj.state = key_obj.lastState + 1;
else
state = key_obj.state = 1;
key_obj.latest = time;
key_obj.lastState = state;
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if(!positive) delta = -delta;
var velocityChange = [0, 0, 0];
velocityChange[direction] = delta;
vector_add(delta_position, velocityChange, delta_position); }
//
// This
//
function leftPress(e, s, lasts){
changeVelocity(0, false, s, lasts); }
function rightPress(e, s, lasts){
changeVelocity(0, true, s, lasts); }
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if(minx < _x && _x < maxx
&& miny < _y && _y < maxy){
selected_points.push(i); }}}
}});
// right click
addKeyListener(1002, function(e, s, lasts){
if(s == 0){
// to prevent camera from rotating beyond straight vertical
var vertical_camera_rotation = 0;
var NAVIGATION_ZOOM_DIST = 0.01;
var zoom_dist = 1;
var zoom_factor = 0.83;
var zoom_scale = 2.667; // scalar zoom property.
var last_zoom_dist = 1;
// camera animation
var max_move_delta = 0.01;
var max_angle_delta = Math.PI / 2;
var delta_horizontal_angle = 0;
var delta_vertical_angle = 0;
delta_horizontal_angle = 0;
delta_vertical_angle = 0; }});
var delta_position = [0,0,0];
function writeMsg(canvas, msg){
var points = []; //global
var solo_points = {};
var lines = [];
var lines = msg.split("\n");
var ctx = canvas.getContext("2d");
var point_projections = [];
var line_midpoint_projections = [];
ctx.font = "9pt sans-serif"
var highlight_object = null;
var mouse_dragging = false;
var last_mouse_down = null;
var mouse_loc = null;
var MIN_DRAG_DIST = 10;
var POINT_HIGHLIGHT_DIST = 10;
var LINE_HIGHLIGHT_DIST = 15;
for(var i = 0; i < lines.length; ++i){
var selected_points = [];
var selected_lines = [];
ctx.fillText(lines[i], 5, 10 + 15 * i); }}
var msg = "3D drawing tool";
var view_transform =
[[1, 0, 0],
[0, 1, 0],
[0, 0, 1]];
// camera functions
function rotateView(norm, theta, cameracentric){
// camera centric uses the camera axes to perform the rotation instead of the space axes.
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var x1 = _pt1[0];
var y1 = _pt1[1];
ctx.moveTo(x0, y0);
ctx.lineTo(x1, y1); }
ctx.clearRect(0, 0, w, h);
var hoffset = h * (1 - no_rotate_area)/ 2;
var woffset = w * (1 - no_rotate_area)/ 2;
ctx.fillStyle = "rgba(128, 128, 128, 0.05)";
ctx.fillRect(0, 0, w, hoffset);
ctx.fillRect(0, hoffset, woffset, h - 2 * hoffset);
ctx.fillRect(w - woffset, hoffset, woffset, h - 2 * hoffset);
ctx.fillRect(0, h - hoffset, w, hoffset);
ctx.fillStyle = "rgb(0, 0, 128)";
ctx.strokeStyle = "rgba(0, 0, 0, 0.9)";
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); }
// 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 vaxis_pt = project(canvas, vector_add(origin, [0, -vertical_axis_size, 0]), view_transform, origin);
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); }
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();
// 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];
else pt = point_projections[selected_points[i]];
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else{
document.body.style.cursor = "crosshair"; }
if(mouse_dragging){
if(selected_points.length && (!key_state[16] || !key_state[16].state)){ // if shift is held, we are selecting more points.
if(mouse_loc){
if(mouse_loc && key_state[1000] && key_state[1000].state){
ctx.beginPath();
for(var i = 0; i < selected_points.length; ++i){
var pt = point_projections[selected_points[i]];
if(pt){
ctx.moveTo(mouse_loc[0], mouse_loc[1]);
ctx.lineTo(pt[0], pt[1]); }}
var pt = point_projections[selected_points[0]];
if(pt){
ctx.moveTo(mouse_loc[0], mouse_loc[1]);
ctx.lineTo(pt[0], pt[1]); }
ctx.stroke(); }}
else if(mouse_loc && last_mouse_down){ // select points inside square
var minx = Math.min(mouse_loc[0], last_mouse_down[0]);
var maxx = Math.max(mouse_loc[0], last_mouse_down[0]);
var miny = Math.min(mouse_loc[1], last_mouse_down[1]);
var maxy = Math.max(mouse_loc[1], last_mouse_down[1]);
ctx.beginPath();
ctx.rect(minx, miny, maxx-minx, maxy-miny);
ctx.stroke(); }
else if(mouse_loc && last_mouse_down){
if(key_state[1000] && key_state[1000].state){ // select points inside square
var minx = Math.min(mouse_loc[0], last_mouse_down[0]);
var maxx = Math.max(mouse_loc[0], last_mouse_down[0]);
var miny = Math.min(mouse_loc[1], last_mouse_down[1]);
var maxy = Math.max(mouse_loc[1], last_mouse_down[1]);
ctx.beginPath();
ctx.rect(minx, miny, maxx - minx, maxy - miny);
ctx.stroke(); }}
}
ctx.fillStyle = "rgb(0,0,0)";
ctx.fillText(msg, 5, 20); }
writeMsg(canvas, msg); }
window.onload = function(){
// load localStorage saved state.
if(localStorage.points && localStorage.lines){
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canvas.width = window.innerWidth - 20;
canvas.height = window.innerHeight - 20; }
function getRotationAngle(x, size, max, center_size){
if(!center_size) center_size = 0.25; // the proportional size of the area in which no rotation is effected by the mouse movement
if(!center_size) center_size = 0.05; // the proportional size of the area in which no rotation is effected by the mouse movement
if(!max) max = Math.PI/128;
x -= size/2;
// center does nothing
if(Math.abs(x) < size * center_size/2) x = 0;
else if(x < 0) x += size * center_size/2;
else x -= size * center_size/2;
return max * x / ((1 - center_size) * size/2); }
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var dist2 = _x*_x + _y*_y;
if(dist2 > MIN_DRAG_DIST * MIN_DRAG_DIST){
mouse_dragging = true; }}
if(key_state[1002] && key_state[1002].state && last_mouse_down){
delta_horizontal_angle = getRotationAngle(x, w, max_angle_delta/frame_rate, no_rotate_area);
delta_vertical_angle = -getRotationAngle(y, h, max_angle_delta/frame_rate, no_rotate_area);
delta_horizontal_angle = getRotationAngle(x - last_mouse_down[0], w, max_angle_delta/frame_rate, 0);
delta_vertical_angle = -getRotationAngle(y - last_mouse_down[1], h, max_angle_delta/frame_rate, 0); }
var min_point_dist2 = LINE_HIGHLIGHT_DIST * LINE_HIGHLIGHT_DIST;
highlight_object = null;
var _x = canvas.width/2 - x;
var _y = canvas.height/2 - y;
var point_dist = _x*_x + _y*_y;
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// matrix and vector functions.
//
//
function vector_add(a, b, result){
if(!result) result = [];
if(!a) throw "first argument to vector_add missing";
if(!b) throw "second argument to vector_add missing";
if(a.length > b.lemgth){
var tmp = a;
a = b; b = tmp; }
for(var i = 0; i < a.length; ++i){
result[i] = a[i] + b[i]; }
for(var i = a.length; i < b.length; ++i){
result[i] = b[i]; }
return result; }
function vector_cpy(result, a){
if(!a) throw "first argument to vector_cpy missing";
for(var i = 0; i < a.length; ++i){
result[i] = a[i]; }
}
function vector_minus(a, b, result){
if(!result) result = [];
if(!a) throw "first argument to vector_minus missing";
if(!b) throw "second argument to vector_minus missing";
var lim = Math.max(a.length, b.length);
for(var i = 0; i < lim; ++i){
var aValue, bValue;
if(i < a.length)
aValue = a[i];
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return result; }
function vector_dot(a, b){
var lim = Math.min(a.length, b.length);
if(!a) throw "first argument to vector_dot missing";
if(!b) throw "second argument to vector_dot missing";
var result = 0;
for(var i = 0; i < lim; ++i){
result += a[i] * b[i]; }
return result; }
function vector_norm(a){
if(!a) throw "argument to vector_norm missing";
return Math.sqrt(vector_dot(a,a)); }
function vector_scale(a, s, result){
if(!a) throw "first argument to vector_scale missing";
if(s === undefined || s === null) throw "scalar argument to vector_scale missing";
if(!result) result = [];
for(var i = 0; i < a.length; ++i){
result[i] = s * a[i]; }
return result; }
// returns true iff the zero tail padded vectors match
function vector_cmp(a, b){
if(!a) throw "first argument to vector_cmp missing";
if(!b) throw "second argument to vector_cmp missing";
if(a.length > b.length){
var tmp = a;
a = b; b = tmp; }
for(var i = 0; i < a.length; ++i){
if(a[i] != b[i])
return false; }
for(var i = a.length; i < b.length; ++i){
if(b[i] != 0)
return false; }
return true; }
function midpoint(a, b, result){
function vector_midpoint(a, b, result){
if(!a) throw "first argument to vector_midpoint missing";
if(!b) throw "second argument to vector_midpoint missing";
if(b.length > a.length){
var tmp = a;
a = b; b = tmp; }
if(!result) result = new Array(b.length);
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}
//this function may not care, but the expected matrix format in this project is a list of column vectors.
function matrix_transpose(matrix){
if(!matrix) throw "argument to matrix_transpose missing";
var result = [];
var dim0 = matrix.length;
if(!dim0)
return result;
var dim1 = matrix[0].length;
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function matrix_mult(a, b){
if(!a) throw "first argument to matrix_mult missing";
if(!b) throw "second argument to matrix_mult missing";
var result = [];
var a = matrix_transpose(a);
var dim0 = a.length;
var dim1 = b.length;
for(var i = 0; i < dim1; ++i){
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// finds the inverse of a 3 by 3 matrix, returns false if matrix has determinant zero.
//
function matrix33inv(m){
if(!m) throw "argument to matrix33inv missing";
// the matrix format is a list of column vectors.
var a = m[0][0];
var b = m[1][0];
var c = m[2][0];
var d = m[0][1];
var e = m[1][1];
|
︙ | | |
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
|
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
|
-
+
+
+
+
+
|
// the matrix format is a list of column vectors.
var result = [[di*A, di*B, di*C],
[di*D, di*E, di*F],
[di*G, di*H, di*K]];
return result; }
// does not check if function is differentiable.
function compute_gradient(func, point, error){
if(!func) throw "function argument to compute_gradient missing";
if(!point) throw "point argument to compute_gradient missing";
if(!error) error = 0.00001;
// find gradient
var otherpoint = point.slice(0);
var gradient = new Array(point.length);
var pointvalue = func(point);
|
︙ | | |
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
|
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
|
+
+
-
+
|
//
// equation at:
// http://inside.mines.edu/~gmurray/ArbitraryAxisRotation/ArbitraryAxisRotation.html
// creates a rotation matrix about the given vector.
//
function vector_rotation(vector, s){
if(!vector) throw "vector argument to vector_rotation missing";
if(!s) throw "angle argument to vector_rotation missing";
var len = Math.sqrt(vector[0]*vector[0]
+ vector[1]*vector[1]
+ vector[2]*vector[2]);
var u = vector[0]/len;
var v = vector[1]/len;
var w = vector[2]/len;
|
︙ | | |