var showLabels = true var canvas = null; var context = null; var unit = 15; var mousePos = [0, 0] var mouseOnVector = 0 var selectedVector = 0 var vec1 = [-5, 6] var vec2 = [-11, -8] 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); } 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 } else if (selectedVector == 2) { vec2[0] = (mousePos[0] - centerX) / unit vec2[1] = (centerY - mousePos[1]) / unit } } 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 = 'rgb(34, 34, 34)'; 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() // 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, 156, 0)'; context.fillStyle = 'rgb(0, 156, 0)'; } else { context.strokeStyle = 'rgba(0, 156, 0, 0.7)'; context.fillStyle = 'rgba(0, 156, 0, 0.7)'; } context.lineWidth = 3 DrawVec2(vec2, centerX, centerY) // Draw 1 + 2 context.setLineDash([4, 2]); context.strokeStyle = 'rgba(10, 150, 10, 0.75)'; context.fillStyle = 'rgba(10, 150, 10, 0.75)'; context.lineWidth = 3 DrawVec2(vec2, centerX + vec1[0] * unit, centerY - vec1[1] * unit) // Draw 2 + 1 context.setLineDash([4, 2]); context.strokeStyle = 'rgba(0, 100, 150, 0.75)'; context.fillStyle = 'rgba(0, 100, 150, 0.75)'; context.lineWidth = 3 DrawVec2(vec1, centerX + vec2[0] * unit, centerY - vec2[1] * unit) // Draw addition result context.setLineDash([]); var vec3 = [vec1[0] + vec2[0], vec1[1] + vec2[1]] context.strokeStyle = 'rgb(250, 150, 0)'; context.fillStyle = 'rgb(250, 150, 0)'; context.lineWidth = 3 DrawVec2(vec3, centerX, centerY) if (showLabels) { context.font = '16px serif'; text = context.measureText('A: (' + vec1[0].toFixed(2) + ', ' + vec1[1].toFixed(2) + ')'); WriteText('A: (' + vec1[0].toFixed(2) + ', ' + vec1[1].toFixed(2) + ')', 'rgb(0, 100, 255)', centerX + vec1[0] * unit - text.width * 0.5, centerY - vec1[1] * unit); text = context.measureText('B: (' + vec2[0].toFixed(2) + ', ' + vec2[1].toFixed(2) + ')'); WriteText('B: (' + vec2[0].toFixed(2) + ', ' + vec2[1].toFixed(2) + ')', 'rgb(0, 200, 0)', centerX + vec2[0] * unit - text.width * 0.5, centerY - vec2[1] * unit); text = context.measureText('A + B: (' + vec3[0].toFixed(2) + ', ' + vec3[1].toFixed(2) + ')'); WriteText('A + B: (' + vec3[0].toFixed(2) + ', ' + vec3[1].toFixed(2) + ')', 'rgb(250, 150, 0)', centerX + vec3[0] * unit - text.width * 0.5, centerY - vec3[1] * unit); text = context.measureText('A + B'); WriteText('A + B', 'rgb(0, 156, 0)', centerX + (vec1[0] + vec2[0] * 0.5) * unit - text.width * 0.5, centerY - (vec1[1] + vec2[1] * 0.5) * unit); text = context.measureText('B + A'); WriteText('B + A', 'rgb(0, 100, 255)', centerX + (vec2[0] + vec1[0] * 0.5) * unit - text.width * 0.5, centerY - (vec2[1] + vec1[1] * 0.5) * unit); } } } 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 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]] // 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]) * unit, centerY - (vec2[1] - norm[1]) * unit) // -normal to make arrow pretty! context.stroke() context.closePath() // Draw the triange context.beginPath() 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() }