var showLabels = true var canvas = null; var context = null; var unit = 175 var scaleOffset = 1.0 / 10 var mousePos = [0, 0] var mouseOnVector = 0 var selectedVector = 0 var vec1 = [0.5, 0.5] var vec2 = [1, 0] function Init() { canvas = document.getElementById('game_canvas'); if (canvas.getContext) { context = canvas.getContext('2d'); canvas.addEventListener('mousemove', OnMouseMove, false); canvas.addEventListener('mousedown', OnMouseDown, false); canvas.addEventListener('mouseup', OnMouseUp, false); } vec1 = Normalized(vec1) vec2 = Normalized(vec2) Render(); } function OnMouseDown(evt) { var rect = canvas.getBoundingClientRect(); mousePos = [ (evt.clientX - rect.left) / ((rect.right - rect.left) / canvas.width), (evt.clientY - rect.top) / ((rect.bottom - rect.top) / canvas.height) ]; var centerX = canvas.width / 2 var centerY = canvas.height / 2 var tri1 = GetTriangle(vec1, centerX, centerY) var tri2 = GetTriangle(vec2, centerX, centerY) if (PointInTriangle(mousePos, tri1[0], tri1[1], tri1[2])) { selectedVector = 1 } else if (PointInTriangle(mousePos, tri2[0], tri2[1], tri2[2])) { selectedVector = 2 } } function OnMouseUp(evt) { selectedVector = 0 } function OnMouseMove(evt) { var rect = canvas.getBoundingClientRect(); mousePos = [ (evt.clientX - rect.left) / ((rect.right - rect.left) / canvas.width), (evt.clientY - rect.top) / ((rect.bottom - rect.top) / canvas.height) ]; var centerX = canvas.width / 2 var centerY = canvas.height / 2 var lastMouseOnVector = mouseOnVector var tri1 = GetTriangle(vec1, centerX, centerY) var tri2 = GetTriangle(vec2, centerX, centerY) if (evt.buttons & 1 == 1) { if (selectedVector == 1) { vec1[0] = (mousePos[0] - centerX) / unit vec1[1] = (centerY - mousePos[1]) / unit vec1 = Normalized(vec1) } else if (selectedVector == 2) { vec2[0] = (mousePos[0] - centerX) / unit vec2[1] = (centerY - mousePos[1]) / unit vec2 = Normalized(vec2) } } else { selectedVector = 0 } mouseOnVector = 0 if (PointInTriangle(mousePos, tri1[0], tri1[1], tri1[2])) { mouseOnVector = 1 } else if (PointInTriangle(mousePos, tri2[0], tri2[1], tri2[2])) { mouseOnVector = 2 } if (lastMouseOnVector != mouseOnVector || selectedVector != 0) { Render() } } var bgColor = 'rgb(34, 34, 34)'; var gridColor = 'rgb(65, 65, 65)'; var fontColor = 'rgb(170, 170, 170)'; function Render() { if (context) { var centerX = canvas.width / 2 var centerY = canvas.height / 2 // Clear BG Color context.fillStyle = bgColor;//'rgb(255, 255, 255)'; context.fillRect(0, 0, canvas.width, canvas.height); // Horizontal Grid context.strokeStyle = gridColor;//'rgb(156, 156, 156)'; context.lineWidth = 1 context.beginPath() for (var i = 0; i < canvas.height / 2; i += unit) { context.moveTo(0, centerY + i) context.lineTo(canvas.width, centerY + i) context.moveTo(0, centerY - i) context.lineTo(canvas.width, centerY - i) } context.stroke() context.closePath() // Vertical Grid context.strokeStyle = gridColor;//'rgb(156, 156, 156)'; context.lineWidth = 1 context.beginPath() for (var i = 0; i < canvas.width / 2; i += unit) { context.moveTo(centerX + i, 0) context.lineTo(centerX + i, canvas.height) context.moveTo(centerX - i, 0) context.lineTo(centerX - i, canvas.height) } context.stroke() context.closePath() context.beginPath() context.arc(centerX, centerY, 175, 0, Math.PI * 2, true); // Outer circle context.stroke() context.closePath() // Draw instructions context.font = '24px serif'; var text = context.measureText('Click and drag the blue or green arrow'); context.fillStyle = bgColor;//'rgb(156, 156, 156)'; context.fillRect(canvas.width - text.width - 20, canvas.height - 40, text.width + 10, 35); context.fillStyle = fontColor;//'rgb(255, 255, 255)'; context.fillText('Click and drag the blue or green arrow', canvas.width - text.width - 15, canvas.height - 15); // Draw vector 1 if (mouseOnVector == 1) { context.strokeStyle = 'rgb(0, 0, 255)'; context.fillStyle = 'rgb(0, 0, 255)'; } else { context.strokeStyle = 'rgba(0, 0, 255, 0.7)'; context.fillStyle = 'rgba(0, 0, 255, 0.7)'; } context.lineWidth = 3 DrawVec2(vec1, centerX, centerY) // Draw vector 2 if (mouseOnVector == 2) { context.strokeStyle = 'rgb(0, 150, 0)'; context.fillStyle = 'rgb(0, 150, 0)'; } else { context.strokeStyle = 'rgba(0, 150, 0, 0.7)'; context.fillStyle = 'rgba(0, 150, 0, 0.7)'; } context.lineWidth = 3 DrawVec2(vec2, centerX, centerY) if (showLabels) { var dotRes = vec1[0] * vec2[0] + vec1[1] * vec2[1] context.font = '16px serif'; // Print value for vec 1 var text = 'A: (' + vec1[0].toFixed(2) + ', ' + vec1[1].toFixed(2) + ')' text_width = context.measureText(text).width; var xPos = centerX + vec1[0] * unit - text_width * 0.5 var yPos = centerY - vec1[1] * unit; WriteText(text, 'rgb(0, 100, 255)', xPos, yPos) // Print value for vec 2 text = 'B: (' + vec2[0].toFixed(2) + ', ' + vec2[1].toFixed(2) + ')' text_width = context.measureText(text).width; xPos = centerX + vec2[0] * unit - text_width * 0.5 yPos = centerY - vec2[1] * unit; WriteText(text, 'rgb(0, 200, 0)', xPos, yPos) // Print dot product context.font = '22px serif'; text = 'A dot B: ' + (dotRes).toFixed(2) WriteText(text, 'rgb(250, 150, 0)', 20, 35) } } } var text_orange = 'rgb(250, 150, 0)' var text_green = 'rgb(0, 200, 0)' var text_blue = 'rgb(0, 100, 255)' function WriteText(toWrite, color, xPos, yPos) { context.fillStyle = 'rgb(0, 0, 0)'; context.fillText(toWrite, xPos + 1, yPos + 1); context.fillText(toWrite, xPos + 1, yPos); context.fillText(toWrite, xPos, yPos + 1); context.fillStyle = color; context.fillText(toWrite, xPos, yPos); } function Normalized(vec) { var result = [ vec[0], vec[1] ] var dot = vec[0] * vec[0] + vec[1] * vec[1] if (dot != 0) { var mag = Math.sqrt(dot) if (mag != 0.0) { result[0] = result[0] / mag result[1] = result[1] / mag } } return result } function PointInTriangle(point, v1, v2, v3) { var Area = 0.5 *(-v2[1]*v3[0] + v1[1]*(-v2[0] + v3[0]) + v1[0]*(v2[1] - v3[1]) + v2[0]*v3[1]); var s = 1/(2*Area)*(v1[1]*v3[0] - v1[0]*v3[1] + (v3[1] - v1[1])*point[0] + (v1[0] - v3[0])*point[1]); var t = 1/(2*Area)*(v1[0]*v2[1] - v1[1]*v2[0] + (v1[1] - v2[1])*point[0] + (v2[0] - v1[0])*point[1]); var u = 1-s-t return s > 0 && t > 0 && u > 0 } function GetTriangle(vec2, centerX, centerY) { // Normalize var norm = [vec2[0], vec2[1]] var len = Math.sqrt(norm[0] * norm[0] + norm[1] * norm[1]) if (len != 0) { norm[0] /= len norm[1] /= len } // Get perpendicular vector var perp = [norm[1], -norm[0]] norm[0] *= scaleOffset norm[1] *= scaleOffset perp[0] *= scaleOffset perp[1] *= scaleOffset // Find points of the triangle return [ [centerX + vec2[0] * unit, centerY - vec2[1] * unit], [centerX + (vec2[0] - norm[0] - perp[0]) * unit, centerY - (vec2[1] - norm[1] - perp[1]) * unit], [centerX + (vec2[0] - norm[0] + perp[0]) * unit, centerY - (vec2[1] - norm[1] + perp[1]) * unit] ]; } function DrawVec2(vec2, centerX, centerY) { // Normalize var norm = [vec2[0], vec2[1]] var len = Math.sqrt(norm[0] * norm[0] + norm[1] * norm[1]) if (len != 0) { norm[0] /= len norm[1] /= len } // Get perpendicular vector var perp = [norm[1], -norm[0]] // Draw the line context.beginPath() context.moveTo(centerX, centerY) context.lineTo(centerX + (vec2[0] - norm[0] * scaleOffset) * unit, centerY - (vec2[1] - norm[1] * scaleOffset) * unit) // -normal to make arrow pretty! context.stroke() context.closePath() // Draw the triange context.beginPath() norm[0] *= scaleOffset norm[1] *= scaleOffset perp[0] *= scaleOffset perp[1] *= scaleOffset context.moveTo(centerX + vec2[0] * unit, centerY - vec2[1] * unit) context.lineTo(centerX + (vec2[0] - norm[0] - perp[0]) * unit, centerY - (vec2[1] - norm[1] - perp[1]) * unit) context.lineTo(centerX + (vec2[0] - norm[0] + perp[0]) * unit, centerY - (vec2[1] - norm[1] + perp[1]) * unit) context.closePath() context.fill() }