341 lines
11 KiB
Python
341 lines
11 KiB
Python
import os
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from math import *
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from cs50 import SQL
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from flask import Flask, flash, jsonify, redirect, render_template, request, session
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from flask_session import Session
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from tempfile import mkdtemp
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from werkzeug.exceptions import default_exceptions, HTTPException, InternalServerError
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from werkzeug.security import check_password_hash, generate_password_hash
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import numpy as np
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import sympy as sp
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from sympy import *
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from latex2sympy import *
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from sympy.parsing.latex import parse_latex
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from helpers import apology, login_required, lookup, usd
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# Configure application
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app = Flask(__name__)
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# Ensure templates are auto-reloaded
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app.config["TEMPLATES_AUTO_RELOAD"] = True
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# Ensure responses aren't cached
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@app.after_request
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def after_request(response):
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response.headers["Cache-Control"] = "no-cache, no-store, must-revalidate"
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response.headers["Expires"] = 0
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response.headers["Pragma"] = "no-cache"
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return response
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# Custom filter
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app.jinja_env.filters["usd"] = usd
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# Configure session to use filesystem (instead of signed cookies)
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app.config["SESSION_FILE_DIR"] = mkdtemp()
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app.config["SESSION_PERMANENT"] = False
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app.config["SESSION_TYPE"] = "filesystem"
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Session(app)
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# Configure CS50 Library to use SQLite database
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db = SQL("sqlite:///finance.db")
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@app.route("/")
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def index():
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"""Intro to website"""
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return render_template("index.html")
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@app.route("/differentiation", methods=["GET", "POST"])
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@login_required
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def differentiation():
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if request.method == "POST":
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# Check if inputs were given
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if not request.form.get("function"):
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return apology("must provide a function", 400)
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f = request.form.get("function")
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x = symbols('x')
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f = sympify(f)
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# Differentiate and return latex expressions
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fprime = latex(f.diff(x))
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value = latex(f)
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return render_template("differentiated.html", value=value, fprime=fprime)
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else:
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return render_template("differentiation.html")
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@app.route("/integration", methods=["GET", "POST"])
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@login_required
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def integration():
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if request.method == "POST":
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# Check if inputs were given
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if not request.form.get("function"):
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return apology("must provide a function", 400)
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# Integrate and return latex expressions
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f = request.form.get("function")
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x = symbols('x')
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f = sympify(f)
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fintegral = latex(f.integrate(x))
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value = latex(f)
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return render_template("integrated.html", value=value, fintegral=fintegral)
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else:
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return render_template("integration.html")
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@app.route("/riemann", methods = ["GET", "POST"])
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@login_required
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def riemann():
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if request.method == "POST":
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# Check if inputs were given
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if not request.form.get("function"):
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return apology("must provide a function", 400)
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if not request.form.get("lowerbound"):
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return apology("must provide a lower bound", 400)
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if not request.form.get("upperbound"):
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return apology("must provide an upper bound", 400)
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if not request.form.get("subintervals"):
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return apology("must provide a number of subintervals", 400)
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if not request.form.get("sumtype"):
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return apology("must choose left or right", 400)
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# Get inputs, check for validity and sympify
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f = request.form.get("function")
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sumtype = request.form.get("sumtype")
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lb = int(request.form.get("lowerbound"))
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ub = int(request.form.get("upperbound"))
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si = int(request.form.get("subintervals"))
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x = symbols('x')
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f = sympify(f)
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dx = (ub - lb) / si
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value = latex(f)
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# Run through Riemann Sum algorithm, creatings lists for display
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# of inputs, outputs, and areas (their products)
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inputs = list()
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if sumtype == "1":
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for i in range(0, si):
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inputs.append(dx * (i))
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if sumtype == "2":
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for i in range(0, si):
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inputs.append(dx * (i + 1))
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outputs = list()
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for input in inputs:
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temp = f.subs(x, input)
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outputs.append(temp)
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rectangles = list()
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for output in outputs:
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temp = output * dx
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rectangles.append(temp)
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result = sum(rectangles)
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# Choose template based on left or right sum
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if sumtype == "1":
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return render_template("summed.html", value=value, sumtype=sumtype, lb=lb, ub=ub, si=si, dx=dx,
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inputs=inputs, outputs=outputs, rectangles=rectangles, result=result)
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else:
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return render_template("rightSummed.html", value=value, sumtype=sumtype, lb=lb, ub=ub, si=si, dx=dx,
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inputs=inputs, outputs=outputs, rectangles=rectangles, result=result)
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else:
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return render_template("riemann.html")
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@app.route("/maxmin", methods=["GET", "POST"])
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def maxmin():
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if request.method == "POST":
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# Check if inputs were given
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if not request.form.get("function"):
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return apology("must provide a function", 400)
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if not request.form.get("lowerbound"):
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return apology("must provide a lower bound", 400)
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if not request.form.get("upperbound"):
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return apology("must provide an upper bound", 400)
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# Get input from form
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f = request.form.get("function")
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lb = sympify(request.form.get("lowerbound"))
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ub = sympify(request.form.get("upperbound"))
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# Prep input for numpy / sympy
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x = symbols('x')
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f = sympify(f)
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# Get Derivative, solve for real solutions, update candidates list
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fprime = f.diff(x)
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solutions = list()
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solutions.append(f.subs(x,0))
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candidates = list()
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for solution in solutions:
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candidates.append(solution)
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candidates.append(lb)
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candidates.append(ub)
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# Fill values list with solutions
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values = list()
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for candidate in candidates:
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temp = f.subs(x, candidate)
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values.append(temp)
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# Find max/min of values
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maximum = max(values)
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newvar = min(values)
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# Turn all into latex
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value = latex(f)
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fprime = latex(fprime)
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for i, solution in enumerate(solutions):
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solutions[i] = latex(solution)
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return render_template("optimized.html", value=value, fprime=fprime, solutions=solutions, lb=lb, ub=ub,
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candidates=candidates, newvar=newvar, values=values, maximum=maximum)
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else:
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return render_template("maxmin.html")
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@app.route("/aprox", methods=["GET", "POST"])
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def aprox():
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if request.method == "POST":
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# Check if inputs were given
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if not request.form.get("function"):
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return apology("must provide a function", 400)
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if not request.form.get("easy"):
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return apology("must provide an easy value", 400)
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if not request.form.get("hard"):
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return apology("must provide a difficult value", 400)
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# Get inputs, sympify them, and check to see if valid
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f = request.form.get("function")
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a = request.form.get("easy")
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h = request.form.get("hard")
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x = symbols('x')
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f = sympify(f)
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a = sympify(a)
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h = sympify(h)
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if not a.is_number:
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return apology("easy value must be a number", 400)
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if not h.is_number:
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return apology("difficult value must be a number", 400)
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# Run through Linearization algorithm
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fprime = f.diff(x)
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fa = f.subs(x, a)
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fprimea = fprime.subs(x, a)
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lh = fa + fprimea*(float(h)-float(a))
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# Convert to latex for MathJax reading
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value = latex(f)
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fprime = latex(fprime)
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fa = latex(fa)
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lh = latex(lh)
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return render_template("aproxd.html", value=value, fprime=fprime, a=a, h=h, fa=fa, fprimea=fprimea, lh=lh)
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else:
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return render_template("aprox.html")
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@app.route("/check", methods=["GET"])
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def check():
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"""Return true if username available, else false, in JSON format"""
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username = request.args.get("username")
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usernames = db.execute("SELECT username FROM users WHERE username = :username", username=username)
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if username and not usernames:
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return jsonify(True)
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else:
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return jsonify(False)
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@app.route("/login", methods=["GET", "POST"])
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def login():
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"""Log user in"""
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# Forget any user_id
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session.clear()
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# User reached route via POST (as by submitting a form via POST)
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if request.method == "POST":
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# Ensure username was submitted
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if not request.form.get("username"):
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return apology("must provide username", 403)
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# Ensure password was submitted
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elif not request.form.get("password"):
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return apology("must provide password", 403)
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# Query database for username
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rows = db.execute("SELECT * FROM users WHERE username = :username",
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username=request.form.get("username"))
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# Ensure username exists and password is correct
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if len(rows) != 1 or not check_password_hash(rows[0]["hash"], request.form.get("password")):
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return apology("invalid username and/or password", 403)
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# Remember which user has logged in
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session["user_id"] = rows[0]["id"]
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# Redirect user to home page
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return redirect("/")
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# User reached route via GET (as by clicking a link or via redirect)
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else:
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return render_template("login.html")
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@app.route("/logout")
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def logout():
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"""Log user out"""
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# Forget any user_id
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session.clear()
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# Redirect user to login form
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return redirect("/")
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@app.route("/register", methods=["GET", "POST"])
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def register():
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"""Register user"""
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# Forget any user_id
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session.clear()
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# User reached route via POST (as by submitting a form via POST)
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if request.method == "POST":
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# Ensure username was submitted
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if not request.form.get("username"):
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return apology("must provide username", 400)
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# Ensure password was submitted
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elif not request.form.get("password"):
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return apology("must provide password", 400)
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# Ensure passwords match
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elif not request.form.get("password") == request.form.get("confirmation"):
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return apology("passwords must match", 400)
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# Create hash for password
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hash = generate_password_hash(request.form.get("password"))
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# Insert username into database
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result = db.execute("Insert INTO users (username, hash) VALUES(:username, :hash)", username = request.form.get("username"), hash = hash)
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# Check if username is already taken
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if not result:
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return apology("Username has been taken", 400)
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# Remember which user has logged in
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session["user_id"] = result
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# Redirect user to home page
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return redirect("/")
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# User reached route via GET (as by clicking a link or via redirect)
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else:
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return render_template("register.html")
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def errorhandler(e):
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"""Handle error"""
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if not isinstance(e, HTTPException):
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e = InternalServerError()
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return apology(e.name, e.code)
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# Listen for errors
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for code in default_exceptions:
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app.errorhandler(code)(errorhandler)
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