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import copy |
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import sys |
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from PyQt5.QtWidgets import QMainWindow, QApplication, QWidget, QTabWidget, QVBoxLayout |
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from visma.calculus.differentiation import differentiate |
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from visma.calculus.integration import integrate |
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from visma.discreteMaths.combinatorics import factorial, combination, permutation |
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from visma.io.checks import checkTypes |
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from visma.io.tokenize import tokenizer, getLHSandRHS |
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from visma.io.parser import resultStringCLI, resultMatrixString |
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from visma.simplify.simplify import simplify, simplifyEquation |
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from visma.simplify.addsub import addition, additionEquation, subtraction, subtractionEquation |
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from visma.simplify.muldiv import multiplication, multiplicationEquation, division, divisionEquation |
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from visma.solvers.solve import solveFor |
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from visma.solvers.polynomial.roots import rootFinder |
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from visma.solvers.simulEqn import simulSolver |
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from visma.transform.factorization import factorize |
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from visma.matrix.structure import Matrix, SquareMat |
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from visma.matrix.operations import simplifyMatrix, addMatrix, subMatrix, multiplyMatrix |
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from visma.gui.plotter import plotFigure2D, plotFigure3D, plot |
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class App(QMainWindow): |
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def __init__(self, tokens): |
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super().__init__() |
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self.setWindowTitle('Plots') |
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self.setGeometry(300, 300, 450, 450) |
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self.table_widget = PlotWindow(self, tokens) |
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self.setCentralWidget(self.table_widget) |
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self.show() |
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class PlotWindow(QWidget): |
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def __init__(self, parent, tokens): |
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super(QWidget, self).__init__(parent) |
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self.layout = QVBoxLayout(self) |
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self.tabPlot = QTabWidget() |
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self.tabPlot.tab1 = QWidget() |
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self.tabPlot.tab2 = QWidget() |
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self.tabPlot.resize(300, 200) |
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self.tabPlot.addTab(self.tabPlot.tab1, "2D-Plot") |
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self.tabPlot.addTab(self.tabPlot.tab2, "3D-Plot") |
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self.tabPlot.tab1.setLayout(plotFigure2D(self)) |
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self.tabPlot.tab2.setLayout(plotFigure3D(self)) |
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self.layout.addWidget(self.tabPlot) |
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plot(self, tokens) |
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def commandExec(command): |
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operation = command.split('(', 1)[0] |
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inputEquation = command.split('(', 1)[1][:-1] |
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matrix = False |
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if operation[0:4] == 'mat_': |
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matrix = True |
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if not matrix: |
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""" |
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This part handles the cases when VisMa is NOT dealing with matrices. |
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Boolean flags used in code below: |
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simul -- {True} when VisMa is dealing with simultaneous equations & {False} in all other cases |
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""" |
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varName = None |
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if ',' in inputEquation: |
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varName = inputEquation.split(',')[1] |
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varName = "".join(varName.split()) |
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inputEquation = inputEquation.split(',')[0] |
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simul = False |
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if (inputEquation.count(';') == 2) and (operation == 'solve'): |
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simul = True |
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afterSplit = inputEquation.split(';') |
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eqStr1 = afterSplit[0] |
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eqStr2 = afterSplit[1] |
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eqStr3 = afterSplit[2] |
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lhs = [] |
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rhs = [] |
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solutionType = '' |
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lTokens = [] |
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rTokens = [] |
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equationTokens = [] |
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comments = [] |
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if simul: |
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tokens = [tokenizer(eqStr1), tokenizer(eqStr2), tokenizer(eqStr3)] |
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else: |
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tokens = tokenizer(inputEquation) |
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if '=' in inputEquation: |
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lhs, rhs = getLHSandRHS(tokens) |
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lTokens = lhs |
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rTokens = rhs |
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_, solutionType = checkTypes(lhs, rhs) |
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else: |
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solutionType = 'expression' |
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lhs, rhs = getLHSandRHS(tokens) |
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lTokens = lhs |
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rTokens = rhs |
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if operation == 'plot': |
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app = QApplication(sys.argv) |
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App(tokens) |
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sys.exit(app.exec_()) |
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elif operation == 'simplify': |
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if solutionType == 'expression': |
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tokens, _, _, equationTokens, comments = simplify(tokens) |
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else: |
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lTokens, rTokens, _, _, equationTokens, comments = simplifyEquation(lTokens, rTokens) |
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elif operation == 'addition': |
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if solutionType == 'expression': |
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tokens, _, _, equationTokens, comments = addition(tokens, True) |
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else: |
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lTokens, rTokens, _, _, equationTokens, comments = additionEquation(lTokens, rTokens, True) |
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elif operation == 'subtraction': |
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if solutionType == 'expression': |
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tokens, _, _, equationTokens, comments = subtraction(tokens, True) |
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else: |
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lTokens, rTokens, _, _, equationTokens, comments = subtractionEquation(lTokens, rTokens, True) |
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elif operation == 'multiplication': |
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if solutionType == 'expression': |
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tokens, _, _, equationTokens, comments = multiplication(tokens, True) |
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else: |
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lTokens, rTokens, _, _, equationTokens, comments = multiplicationEquation(lTokens, rTokens, True) |
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elif operation == 'division': |
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if solutionType == 'expression': |
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tokens, _, _, equationTokens, comments = division(tokens, True) |
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else: |
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lTokens, rTokens, _, _, equationTokens, comments = divisionEquation(lTokens, rTokens, True) |
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elif operation == 'factorize': |
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tokens, _, _, equationTokens, comments = factorize(tokens) |
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elif operation == 'find-roots': |
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lTokens, rTokens, _, _, equationTokens, comments = rootFinder(lTokens, rTokens) |
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elif operation == 'solve': |
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if simul: |
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if varName is not None: |
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_, equationTokens, comments = simulSolver(tokens[0], tokens[1], tokens[2], varName) |
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else: |
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_, equationTokens, comments = simulSolver(tokens[0], tokens[1], tokens[2]) |
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solutionType = equationTokens |
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else: |
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lhs, rhs = getLHSandRHS(tokens) |
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lTokens, rTokens, _, _, equationTokens, comments = solveFor(lTokens, rTokens, varName) |
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elif operation == 'factorial': |
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tokens, _, _, equationTokens, comments = factorial(tokens) |
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elif operation == 'combination': |
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n = tokenizer(inputEquation) |
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r = tokenizer(varName) |
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tokens, _, _, equationTokens, comments = combination(n, r) |
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elif operation == 'permutation': |
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n = tokenizer(inputEquation) |
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r = tokenizer(varName) |
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tokens, _, _, equationTokens, comments = permutation(n, r) |
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elif operation == 'integrate': |
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lhs, rhs = getLHSandRHS(tokens) |
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lTokens, _, _, equationTokens, comments = integrate(lTokens, varName) |
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elif operation == 'differentiate': |
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lhs, rhs = getLHSandRHS(tokens) |
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lTokens, _, _, equationTokens, comments = differentiate(lTokens, varName) |
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if operation != 'plot': |
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final_string = resultStringCLI(equationTokens, operation, comments, solutionType, simul) |
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print(final_string) |
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else: |
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""" |
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This part handles the cases when VisMa is dealing with matrices. |
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Boolean flags used in code below: |
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dualOperand -- {True} when the matrix operations require two operands (used in operations like addition, subtraction etc) |
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nonMatrixResult -- {True} when the result after performing operations on the Matrix is not a Matrix (in operations like Determinant, Trace etc.) |
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scalarOperations -- {True} when one of the operand in a scalar (used in operations like Scalar Addition, Scalar Subtraction etc.) |
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""" |
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operation = operation[4:] |
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dualOperand = False |
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nonMatrixResult = False |
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scalarOperations = False |
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if ', ' in inputEquation: |
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dualOperand = True |
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[inputEquation1, inputEquation2] = inputEquation.split(', ') |
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if '[' in inputEquation1: |
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inputEquation1 = inputEquation1[1:][:-1] |
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inputEquation1 = inputEquation1.split('; ') |
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matrixOperand1 = [] |
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for row in inputEquation1: |
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row1 = row.split(' ') |
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for i, _ in enumerate(row1): |
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row1[i] = tokenizer(row1[i]) |
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matrixOperand1.append(row1) |
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Matrix1 = Matrix() |
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Matrix1.value = matrixOperand1 |
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inputEquation2 = inputEquation2[1:][:-1] |
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inputEquation2 = inputEquation2.split('; ') |
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matrixOperand2 = [] |
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for row in inputEquation2: |
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row1 = row.split(' ') |
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for i, _ in enumerate(row1): |
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row1[i] = tokenizer(row1[i]) |
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matrixOperand2.append(row1) |
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Matrix2 = Matrix() |
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Matrix2.value = matrixOperand2 |
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Matrix1_copy = copy.deepcopy(Matrix1) |
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Matrix2_copy = copy.deepcopy(Matrix2) |
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else: |
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scalarOperations = True |
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scalar = inputEquation1 |
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scalarTokens = scalar |
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inputEquation2 = inputEquation2[1:][:-1] |
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inputEquation2 = inputEquation2.split('; ') |
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matrixOperand2 = [] |
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for row in inputEquation2: |
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row1 = row.split(' ') |
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for i, _ in enumerate(row1): |
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row1[i] = tokenizer(row1[i]) |
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matrixOperand2.append(row1) |
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Matrix2 = Matrix() |
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Matrix2.value = matrixOperand2 |
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scalarTokens_copy = copy.deepcopy(scalarTokens) |
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Matrix2_copy = copy.deepcopy(Matrix2) |
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else: |
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inputEquation = inputEquation[1:][:-1] |
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inputEquation = inputEquation.split('; ') |
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matrixOperand = [] |
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for row in inputEquation: |
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row1 = row.split(' ') |
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for i, _ in enumerate(row1): |
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row1[i] = tokenizer(row1[i]) |
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matrixOperand.append(row1) |
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Matrix0 = Matrix() |
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Matrix0.value = matrixOperand |
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Matrix0_copy = copy.deepcopy(Matrix0) |
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if operation == 'simplify': |
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MatrixResult = simplifyMatrix(Matrix0) |
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elif operation == 'add': |
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MatrixResult = addMatrix(Matrix1, Matrix2) |
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elif operation == 'sub': |
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MatrixResult = subMatrix(Matrix1, Matrix2) |
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elif operation == 'mult': |
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MatrixResult = multiplyMatrix(Matrix1, Matrix2) |
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elif operation == 'determinant': |
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nonMatrixResult = True |
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sqMatrix = SquareMat() |
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sqMatrix.value = Matrix0.value |
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result = sqMatrix.determinant() |
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elif operation == 'trace': |
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nonMatrixResult = True |
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sqMatrix = SquareMat() |
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sqMatrix.value = Matrix0.value |
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result = sqMatrix.traceMat() |
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elif operation == 'inverse': |
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sqMatrix = SquareMat() |
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sqMatrix.value = Matrix0.value |
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MatrixResult = SquareMat() |
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MatrixResult = sqMatrix.inverse() |
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finalCLIstring = '' |
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if dualOperand: |
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if not scalarOperations: |
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finalCLIstring = resultMatrixString(operation=operation, operand1=Matrix1_copy, operand2=Matrix2_copy, result=MatrixResult) |
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else: |
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finalCLIstring = resultMatrixString(operation=operation, operand1=scalarTokens_copy, operand2=Matrix2_copy, result=MatrixResult) |
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else: |
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if nonMatrixResult: |
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finalCLIstring = resultMatrixString(operation=operation, operand1=Matrix0_copy, nonMatrixResult=True, result=result) |
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else: |
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finalCLIstring = resultMatrixString(operation=operation, operand1=Matrix0_copy, result=MatrixResult) |
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print(finalCLIstring) |
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