From 6d1c3d545061e0747d0feed3396071ec7090a2fb Mon Sep 17 00:00:00 2001
From: Ad5001 <mail@ad5001.eu>
Date: Sun, 10 Jan 2021 20:48:11 +0100
Subject: [PATCH] Integrals, opening directly from the command line

---
 qml/js/mathlib.js | 19 ++++++++++++++-----
 qml/js/objects.js |  2 +-
 qml/js/utils.js   | 12 ++++++++++++
 run.py            | 14 ++++++++++++--
 4 files changed, 39 insertions(+), 8 deletions(-)

diff --git a/qml/js/mathlib.js b/qml/js/mathlib.js
index 2495c88..d40aa9a 100644
--- a/qml/js/mathlib.js
+++ b/qml/js/mathlib.js
@@ -21,9 +21,7 @@
 .import "expr-eval.js" as ExprEval
 .import "utils.js" as Utils
 
-const parser = new ExprEval.Parser()
 
-var u = {1: 1, 2: 2, 3: 3}
 
 var evalVariables = { // Variables not provided by expr-eval.js, needs to be provided manualy
     "pi": Math.PI,
@@ -35,6 +33,15 @@ var evalVariables = { // Variables not provided by expr-eval.js, needs to be pro
     "E": Math.E
 }
 
+var currentVars = {}
+
+const parser = new ExprEval.Parser()
+parser.functions.integral = function(a, b, f, variable) {
+    // https://en.wikipedia.org/wiki/Simpson%27s_rule
+    f = parser.parse(f).toJSFunction(variable, currentVars)
+    return (b-a)/6*(f(a)+4*f((a+b)/2)+f(b))
+}
+
 class Expression {
     constructor(expr) {
         this.expr = expr
@@ -49,7 +56,8 @@ class Expression {
     
     execute(x = 1) {
         if(this.cached) return this.cachedValue
-        return this.calc.evaluate(Object.assign({'x': x}, evalVariables))
+        currentVars = Object.assign({'x': x}, evalVariables)
+        return this.calc.evaluate(currentVars)
     }
     
     simplify(x) {
@@ -111,9 +119,10 @@ class Sequence extends Expression {
     cache(n = 1) {
         var str = Utils.simplifyExpression(this.calc.substitute('n', n-this.valuePlus).toString())
         var expr = parser.parse(str).simplify()
-        var l = {}
+        var l = {'n': n-this.valuePlus} // Just in case, add n (for custom functions)
         l[this.name] = this.calcValues
-        this.calcValues[n] = expr.evaluate(Object.assign(l, evalVariables))
+        currentVars = Object.assign(l, evalVariables)
+        this.calcValues[n] = expr.evaluate(currentVars)
     }
     
     toString(forceSign=false) {
diff --git a/qml/js/objects.js b/qml/js/objects.js
index 3ca5965..5d45b2f 100644
--- a/qml/js/objects.js
+++ b/qml/js/objects.js
@@ -236,7 +236,7 @@ class Function extends ExecutableObject {
         if(this.displayMode == 'application') {
             return `${this.name}: ${this.definitionDomain} ⸺> ${this.destinationDomain}\n   ${' '.repeat(this.name.length)}x ⸺> ${this.expression.toString()}`
         } else {
-            return `${this.name}(x) = ${this.expression.toString()}\nD<sub>${this.name}</sub> = ${this.definitionDomain}`
+            return `${this.name}(x) = ${this.expression.toString()}\nD${Utils.textsub(this.name)} = ${this.definitionDomain}`
         }
     }
     
diff --git a/qml/js/utils.js b/qml/js/utils.js
index 989c6f4..d5891c8 100644
--- a/qml/js/utils.js
+++ b/qml/js/utils.js
@@ -23,6 +23,8 @@ var powerpos = {
     "+": "⁺",
     "=": "⁼",
     " ": " ",
+    "(": "⁽",
+    ")": "⁾",
     "0": "⁰",
     "1": "¹",
     "2": "²",
@@ -64,6 +66,8 @@ var indicepos = {
     "-": "₋",
     "+": "₊",
     "=": "₌",
+    "(": "₍",
+    ")": "₎",
     " ": " ",
     "0": "₀",
     "1": "₁",
@@ -255,6 +259,14 @@ function makeExpressionReadable(str) {
         [/(\d|\))×/g, '$1'],
         //[/×(\d|\()/g, '$1'],
         [/\(([^)(+.\/-]+)\)/g, "$1"],
+        [/integral\((.+), ?(.+), ("|')(.+)("|'), ?("|')(.+)("|')\)/g, function(match, a, b, p1, body, p2, p3, by, p4) {
+            console.log('Intégrale', a, b, body, by)
+            if(a.length < b.length) {
+                return `∫${textsub(a)}${textsup(b)} ${body} d${by}`
+            } else {
+                return `∫${textsup(b)}${textsub(a)} ${body} d${by}`
+            }
+        }]
     ]
     
     str = simplifyExpression(str)
diff --git a/run.py b/run.py
index a89ea0f..59552bf 100644
--- a/run.py
+++ b/run.py
@@ -25,7 +25,11 @@ import os
 import tempfile
 from platform import release as os_release
 from json import dumps
-from sys import platform
+from sys import platform, argv
+
+pwd = os.getcwd()
+os.chdir(os.path.dirname(os.path.realpath(__file__)))
+
 
 tempfile = tempfile.mkstemp(suffix = '.png')[1]
 
@@ -77,7 +81,7 @@ class Helper(QObject):
         # TODO: Better copy system
         os.system("xclip -selection clipboard -t image/png -i " + tempfile)
 
-app = QApplication([])
+app = QApplication(argv)
 app.setApplicationName("Logarithmic Plotter")
 app.setOrganizationName("Ad5001")
 app.setWindowIcon(QIcon(os.path.realpath(os.path.join(os.getcwd(), "logplotter.svg"))))
@@ -88,6 +92,12 @@ engine.rootContext().setContextProperty("Helper", helper)
 engine.addImportPath(os.path.realpath(os.path.join(os.getcwd(), "qml")))
 engine.load(os.path.realpath(os.path.join(os.getcwd(), "qml", "LogGraph.qml")))
 
+os.chdir(pwd)
+if len(argv) > 0 and os.path.exists(argv[-1]) and argv[-1].split('.')[-1] == 'json':
+    print(argv[-1])
+    engine.rootObjects()[0].loadDiagram(argv[-1])
+os.chdir(os.path.dirname(os.path.realpath(__file__)))
+
 if not engine.rootObjects():
     print("No root object")
     exit(-1)