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js.coffee
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js.coffee
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# graphit - A free fast online plotter
# Copyright (C) 2012 Mounier Florian aka paradoxxxzero
# This program is free software: you can redistribute it and/or modify
# it under the terms of the GNU Affero General Public License as
# published by the Free Software Foundation, either version 3 of the
# License, or any later version.
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU Affero General Public License for more details.
# You should have received a copy of the GNU Affero General Public License
# along with this program. If not, see http://www.gnu.org/licenses/.
class State
constructor: ->
@pow = 1.1
@step = 1
@functions = [
expr: "sin(pow(x, 4))/x"
type: 'linear'
error: false
]
for n in [1..15]
@functions[n] =
expr: ""
type: 'linear'
error: false
@selected = 0
@theme = 0
@polar_range = 2
@polar_step = 180
@parametric_range = 10
@parametric_step = .1
@reg =
X:
min: -pow(@pow, 5)
max: pow(@pow, 5)
zcoef: 5
Y:
min: -pow(@pow, 5)
max: pow(@pow, 5)
zcoef: 5
tickSize: 5
class GraphIt
function_types:
linear:
symbol: "𝒇"
next: 'polar'
polar:
symbol: "𝝆"
next: 'horizontal'
horizontal:
symbol: "𝒉"
next: 'parametric'
parametric:
symbol: "𝒙"
next: 'linear'
themes: [ "tango", "pastel", "white" ]
dragging:
on: false
x: 0
y: 0
size: ->
@scr =
h: @canvas.height = window.innerHeight - 25
w: @canvas.width = window.innerWidth
x2X: (x) ->
@state.reg.X.min + (x * (@state.reg.X.max - @state.reg.X.min) / @scr.w)
X2x: (X) ->
@scr.w * (X - @state.reg.X.min) / (@state.reg.X.max - @state.reg.X.min)
dx2DX: (dx) ->
dx * (@state.reg.X.max - @state.reg.X.min) / @scr.w
y2Y: (y) ->
@state.reg.Y.min + ((@scr.h - y) * (@state.reg.Y.max - @state.reg.Y.min) / @scr.h)
Y2y: (Y) ->
@scr.h - @scr.h * (Y - @state.reg.Y.min) / (@state.reg.Y.max - @state.reg.Y.min)
dy2DY: (dy) ->
dy * (@state.reg.Y.max - @state.reg.Y.min) / @scr.h
updateBox: ->
$("#pft").html @function_types[@state.functions[@state.selected].type].symbol
$("#nft").addClass "line-color-" + @state.selected
$("#nft").text @state.selected
prepareFunction: (ftexp) ->
ftexp.split ';'
newSelected: ->
$("#ft").val @state.functions[@state.selected].expr
if @state.functions[@state.selected].error
$("#ft").addClass "error"
else
$("#ft").removeClass "error"
@updateBox()
linear: (funct, f) ->
lineNext = false
for x in [0..@scr.w]
Y = funct[0](@x2X(x))
if isFinite(Y)
y = @Y2y(Y)
if lineNext
@c.lineTo x, y
else
@c.moveTo x, y
lineNext = true
else
lineNext = false
horizontal: (funct, f) ->
lineNext = false
for y in [0..@scr.h]
Y = @y2Y(y)
X = funct[0](Y)
if isFinite(X)
x = @X2x(X)
if lineNext
@c.lineTo x, y
else
@c.moveTo x, y
lineNext = true
else
lineNext = false
polar: (funct, f) ->
lineNext = false
for o in [0..@state.polar_range * pi] by pi / @state.polar_step
r = funct[0](o)
if isFinite(r)
X = r * cos(o)
Y = r * sin(o)
x = @X2x(X)
y = @Y2y(Y)
if lineNext
@c.lineTo x, y
else
@c.moveTo x, y
lineNext = true
else
lineNext = false
parametric: (funct, f) ->
lineNext = false
for t in [0..@state.parametric_range] by @state.parametric_step
X = funct[0](t)
Y = funct[1](t)
if isFinite(X) and isFinite(Y)
x = @X2x(X)
y = @Y2y(Y)
if lineNext
@c.lineTo x, y
else
@c.moveTo x, y
lineNext = true
else
lineNext = false
plot: ->
$("#ft").removeClass("error")
time = new Date().getTime()
for f, i in @state.functions
break if f.expr is ""
@c.strokeStyle = $(".line-color-" + i).css("color")
@c.beginPath()
try
@[f.type](new Function('x', 'return ' + fun) for fun in @prepareFunction(f.expr), f)
catch e
console.log e
f.error = true
break
f.error = false
@c.stroke()
location.hash = btoa JSON.stringify @state
document.title = (new Date().getTime() - time) + "ms"
$("#ft").addClass("error") if @state.functions[@state.selected].error
replot: ->
@c.fillStyle = $(".bg").css("color")
@c.strokeStyle = $(".axis").css("color")
@c.fillRect 0, 0, @scr.w, @scr.h
xX0 = min(max(@X2x(0), 0), @scr.w)
yY0 = min(max(@Y2y(0), 0), @scr.h)
isRight = xX0 > @scr.w / 2
isBottom = yY0 > @scr.h / 2
@c.beginPath()
@c.moveTo 0, yY0
@c.lineTo @scr.w, yY0
@c.moveTo xX0, 0
@c.lineTo xX0, @scr.h
@c.stroke()
@c.beginPath()
@c.fillStyle = $(".ticknum").css("color")
range =
X: @state.reg.X.max - @state.reg.X.min
Y: @state.reg.Y.max - @state.reg.Y.min
order =
X: floor(log(range.X) / log(10))
Y: floor(log(range.Y) / log(10))
ten =
X: pow(10, order.X)
Y: pow(10, order.Y)
fixrange =
X: abs(ceil(log(1 / ten.X) / log(10)))
Y: abs(ceil(log(1 / ten.Y) / log(10)))
if range.X < 2.5 * ten.X
ten.X *= .25
fixrange.X += 2
else if range.X < 5 * ten.X
ten.X *= .5
fixrange.X++
if range.Y < 2.5 * ten.Y
ten.Y *= .25
fixrange.Y += 2
else if range.Y < 5 * ten.Y
fixrange.Y++
ten.Y *= .5
minima =
X: floor(@state.reg.X.min / ten.X) * ten.X
Y: floor(@state.reg.Y.min / ten.Y) * ten.Y
maxima =
X: floor(@state.reg.X.max / ten.X) * ten.X
Y: floor(@state.reg.Y.max / ten.Y) * ten.Y
for s in [minima.X..maxima.X] by ten.X
x = @X2x(s)
st = (if ten.X < 1 then s.toFixed(fixrange.X) else s)
unless parseFloat(st) is 0
@c.moveTo x, yY0 - (if isBottom then @state.reg.tickSize else 0)
@c.lineTo x, yY0 + (if isBottom then 0 else @state.reg.tickSize)
@c.fillText st, x - 3, yY0 + (1.5 * @state.reg.tickSize + (if isBottom then 2 else 10)) * (if isBottom then -1 else 1)
for s in [minima.Y..maxima.Y] by ten.X
y = @Y2y(s)
st = (if abs(ten.Y) < 1 then s.toFixed(fixrange.Y) else s)
unless parseFloat(st) is 0
@c.moveTo xX0 + (if isRight then 0 else @state.reg.tickSize), y
@c.lineTo xX0 - (if isRight then @state.reg.tickSize else 0), y
@c.fillText st, xX0 + (1.5 * @state.reg.tickSize + (if isRight then 5 * new String(st).length else 0)) * (if isRight then -1 else 1), y + 3
@c.stroke()
@c.fillStyle = $(".bg").css("color")
@plot()
constructor: ->
if location.hash != ""
@state = JSON.parse atob location.hash.slice(1)
else
@state = new State()
($ft = $("#ft")).bind("input", =>
functionValue = $ft.val()
@state.functions[@state.selected].expr = functionValue
@replot()
).keydown (e) ->
e.stopPropagation() if not ((e.ctrlKey and e.keyCode is 32) or e.keyCode in [33, 34])
($canvas = $("#canvas")).mousedown((event) =>
@dragging.on = true
@dragging.x = event.clientX
@dragging.y = event.clientY
event.stopPropagation()
$("body").addClass "moving"
$("#ft").blur()
false
).mousemove((event) =>
return unless @dragging.on
DX = @dx2DX(@dragging.x - event.clientX)
DY = @dy2DY(@dragging.y - event.clientY)
@state.reg.X.min += DX
@state.reg.X.max += DX
@state.reg.Y.min -= DY
@state.reg.Y.max -= DY
@dragging.x = event.clientX
@dragging.y = event.clientY
event.stopPropagation()
@replot()
false
).mouseup((event) =>
@dragging.on = false
event.stopPropagation()
$("body").removeClass "moving"
false
).mouseout( ->
$(@).trigger('mouseup')
).mousewheel((event, delta) =>
dx = dy = 0
if delta < 0
if not event.shiftKey and @mode isnt "y"
@state.reg.X.zcoef += @state.step
dx = (pow(@state.pow, @state.step) - 1) * pow(@state.pow, @state.reg.X.zcoef - @state.step)
if not event.altKey and @mode isnt "x"
@state.reg.Y.zcoef += @state.step
dy = (pow(@state.pow, @state.step) - 1) * pow(@state.pow, @state.reg.Y.zcoef - @state.step)
else
if not event.shiftKey and @mode isnt "y"
dx = (1 - pow(@state.pow, @state.step)) * pow(@state.pow, @state.reg.X.zcoef - @state.step)
@state.reg.X.zcoef -= @state.step
if not event.altKey and @mode isnt "x"
dy = (1 - pow(@state.pow, @state.step)) * pow(@state.pow, @state.reg.Y.zcoef - @state.step)
@state.reg.Y.zcoef -= @state.step
@state.reg.X.min -= (2 * dx * event.clientX) / @scr.w
@state.reg.X.max += (2 * dx * (@scr.w - event.clientX)) / @scr.w
@state.reg.Y.min -= (2 * dy * (@scr.h - event.clientY)) / @scr.h
@state.reg.Y.max += (2 * dy * event.clientY) / @scr.h
@replot()
event.stopPropagation()
false
)
$(window).keydown((event) =>
if event.keyCode is 88 # x
@mode = "x"
else if event.keyCode is 89 # y
@mode = "y"
else
@mode = null
if event.keyCode is 82 # r
rX = @state.reg.X.max - @state.reg.X.min
rY = @state.reg.Y.max - @state.reg.Y.min
@state.reg.X.min = -rX / 2
@state.reg.X.max = rX / 2
@state.reg.Y.min = -rY / 2
@state.reg.Y.max = rY / 2
else if event.keyCode is 84 # t
@state.reg.X.zcoef = @state.reg.Y.zcoef = 5
nwx = pow(@state.pow, @state.reg.X.zcoef)
nwy = pow(@state.pow, @state.reg.Y.zcoef)
@state.reg.X.min = -nwx
@state.reg.X.max = nwx
@state.reg.Y.min = -nwy
@state.reg.Y.max = nwy
else if event.keyCode is 83 # s
$("#theme")[0].href = @themes[++@state.theme % @themes.length] + ".css"
else if event.keyCode is 77 # m
@state.polar_range *= 2
else if event.keyCode is 76 # l
@state.polar_range /= 2
else if event.keyCode is 80 # p
@state.polar_step *= 2
else if event.keyCode is 79 # o
@state.polar_step /= 2
else if event.keyCode is 39 # Right
w = @state.reg.X.max - @state.reg.X.min
@state.reg.X.min += w / 10
@state.reg.X.max += w / 10
else if event.keyCode is 37 # Left
w = @state.reg.X.max - @state.reg.X.min
@state.reg.X.min -= w / 10
@state.reg.X.max -= w / 10
else if event.keyCode is 38 # Up
w = @state.reg.Y.max - @state.reg.Y.min
@state.reg.Y.min += w / 10
@state.reg.Y.max += w / 10
else if event.keyCode is 40 # Down
w = @state.reg.Y.max - @state.reg.Y.min
@state.reg.Y.min -= w / 10
@state.reg.Y.max -= w / 10
else if event.ctrlKey and event.keyCode is 32
@state.functions[@state.selected].type = @function_types[@state.functions[@state.selected].type].next
@updateBox()
@replot()
else if event.keyCode is 33 # PageUp
$("#nft").removeClass "line-color-" + @state.selected
@state.selected++
@state.selected = 0 if @state.selected > 15
@newSelected()
else if event.keyCode is 34 # PageUp
$("#nft").removeClass "line-color-" + @state.selected
@state.selected--
@state.selected = 15 if @state.selected < 0
@newSelected()
else if event.keyCode is 46 # Suppr
@state = new State()
location.hash = ''
@updateBox()
$("#nft").removeClass "line-color-" + @state.selected
$("#ft").val @state.functions[@state.selected].expr
$("#ft").trigger 'input'
else
return
@replot()
).resize =>
@size()
@replot()
@canvas = $canvas.get 0
@c = @canvas.getContext "2d"
@size()
@updateBox()
$ft.val @state.functions[@state.selected].expr
$ft.trigger 'input'
$ ->
graphit = new GraphIt()
# Horrible hack to get rid of the math module:
for key in Object.getOwnPropertyNames(Math)
window[key.toLowerCase()] = Math[key]