Created
June 12, 2015 11:11
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var deg2rad = Math.PI / 180; | |
var angle = prompt("What angle") * deg2rad; | |
var velocity = prompt('What velocity'); | |
var gravity = prompt('What gravity'); | |
var yNul = prompt('Interception with the y axis'); | |
var equation; | |
var a; | |
var b; | |
var c; | |
a = (-gravity / (2 * (velocity * Math.cos(angle) * velocity * Math.cos(angle)))); | |
b = ((velocity * Math.sin(angle)) / (velocity * Math.cos(angle))); | |
c = yNul; | |
var x1 = (- b - Math.sqrt((b*b) - 4 * a * c)) / (2 * a); | |
var x2 = (- b + Math.sqrt((b * b) - 4 * a * c)) / (2 * a); | |
var y1 = (((-b * -b) + 4 * a * c) / (4 * a)) | |
function Graph(con) { | |
// user defined properties | |
this.canvas = document.getElementById(con.canvasId); | |
this.minX = con.minX; | |
this.minY = con.minY; | |
this.maxX = con.maxX; | |
this.maxY = con.maxY; | |
this.unitsPerTick = con.unitsPerTick; | |
// constants | |
this.axisColor = "#aaa"; | |
this.font = "8pt Calibri"; | |
this.tickSize = 20; | |
// relationships | |
this.context = this.canvas.getContext("2d"); | |
this.rangeX = this.maxX - this.minX; | |
this.rangeY = this.maxY - this.minY; | |
this.unitX = this.canvas.width / this.rangeX; | |
this.unitY = this.canvas.height / this.rangeY; | |
this.centerY = Math.round(Math.abs(this.minY / this.rangeY) * this.canvas.height); | |
this.centerX = Math.round(Math.abs(this.minX / this.rangeX) * this.canvas.width); | |
this.iteration = (this.maxX - this.minX) / 1000; | |
this.scaleX = this.canvas.width / this.rangeX; | |
this.scaleY = this.canvas.height / this.rangeY; | |
// draw x and y axis | |
this.drawXAxis(); | |
this.drawYAxis(); | |
} | |
Graph.prototype.drawXAxis = function () { | |
var context = this.context; | |
context.save(); | |
context.beginPath(); | |
context.moveTo(0, this.centerY); | |
context.lineTo(this.canvas.width, this.centerY); | |
context.strokeStyle = this.axisColor; | |
context.lineWidth = 2; | |
context.stroke(); | |
// draw tick marks | |
var xPosIncrement = this.unitsPerTick * this.unitX; | |
var xPos, unit; | |
context.font = this.font; | |
context.textAlign = "center"; | |
context.textBaseline = "top"; | |
// draw left tick marks | |
xPos = this.centerX - xPosIncrement; | |
unit = -1 * this.unitsPerTick; | |
while (xPos > 0) { | |
context.moveTo(xPos, this.centerY - this.tickSize / 2); | |
context.lineTo(xPos, this.centerY + this.tickSize / 2); | |
context.stroke(); | |
context.fillText(unit, xPos, this.centerY + this.tickSize / 2 + 3); | |
unit -= this.unitsPerTick; | |
xPos = Math.round(xPos - xPosIncrement); | |
} | |
// draw right tick marks | |
xPos = this.centerX + xPosIncrement; | |
unit = this.unitsPerTick; | |
while (xPos < this.canvas.width) { | |
context.moveTo(xPos, this.centerY - this.tickSize / 2); | |
context.lineTo(xPos, this.centerY + this.tickSize / 2); | |
context.stroke(); | |
context.fillText(unit, xPos, this.centerY + this.tickSize / 2 + 3); | |
unit += this.unitsPerTick; | |
xPos = Math.round(xPos + xPosIncrement); | |
} | |
context.restore(); | |
}; | |
Graph.prototype.drawYAxis = function () { | |
var context = this.context; | |
context.save(); | |
context.beginPath(); | |
context.moveTo(this.centerX, 0); | |
context.lineTo(this.centerX, this.canvas.height); | |
context.strokeStyle = this.axisColor; | |
context.lineWidth = 2; | |
context.stroke(); | |
// draw tick marks | |
var yPosIncrement = this.unitsPerTick * this.unitY; | |
var yPos, unit; | |
context.font = this.font; | |
context.textAlign = "right"; | |
context.textBaseline = "middle"; | |
// draw top tick marks | |
yPos = this.centerY - yPosIncrement; | |
unit = this.unitsPerTick; | |
while (yPos > 0) { | |
context.moveTo(this.centerX - this.tickSize / 2, yPos); | |
context.lineTo(this.centerX + this.tickSize / 2, yPos); | |
context.stroke(); | |
context.fillText(unit, this.centerX - this.tickSize / 2 - 3, yPos); | |
unit += this.unitsPerTick; | |
yPos = Math.round(yPos - yPosIncrement); | |
} | |
// draw bottom tick marks | |
yPos = this.centerY + yPosIncrement; | |
unit = -1 * this.unitsPerTick; | |
while (yPos < this.canvas.height) { | |
context.moveTo(this.centerX - this.tickSize / 2, yPos); | |
context.lineTo(this.centerX + this.tickSize / 2, yPos); | |
context.stroke(); | |
context.fillText(unit, this.centerX - this.tickSize / 2 - 3, yPos); | |
unit -= this.unitsPerTick; | |
yPos = Math.round(yPos + yPosIncrement); | |
} | |
context.restore(); | |
}; | |
Graph.prototype.drawEquation = function (equation, color, thickness) { | |
var context = this.context; | |
context.save(); | |
context.save(); | |
this.transformContext(); | |
context.beginPath(); | |
context.moveTo(this.minX, equation(this.minX)); | |
for (var x = this.minX + this.iteration; x <= this.maxX; x += this.iteration) { | |
context.lineTo(x, equation(x)); | |
} | |
context.restore(); | |
context.lineJoin = "round"; | |
context.lineWidth = thickness; | |
context.strokeStyle = color; | |
context.stroke(); | |
context.restore(); | |
}; | |
Graph.prototype.transformContext = function () { | |
var context = this.context; | |
// move context to center of canvas | |
this.context.translate(this.centerX, this.centerY); | |
context.scale(this.scaleX, -this.scaleY); | |
}; | |
window.onload = function () { | |
var myGraph = new Graph({ | |
canvasId: "theCanvas", | |
minX: x2, | |
minY: (-1 * Math.abs(y1)), | |
maxX: x1, | |
maxY: Math.abs(y1), | |
unitsPerTick: 1 | |
}); | |
myGraph.drawEquation(function(x) { | |
equation = a * (x * x) + b * x + c; | |
return equation; | |
}, "green", 3); | |
}; |
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