from visma.functions.structure import Expression
from visma.functions.constant import Constant
from visma.functions.variable import Variable
from visma.functions.operator import Binary, Sqrt
from visma.functions.exponential import Logarithm
from visma.io.checks import isNumber, mathError
from visma.matrix.structure import Matrix
from visma.functions.trigonometry import Trigonometric


def resultLatex(equationTokens, operation, comments, solutionType, simul=False, wrtVar=None):
    """Converts tokens to LaTeX format for displaying in step-by-step solution figure

    Arguments:
        operation {string} -- operation performed on input
        equations {list} -- list of tokens list
        comments {list} -- list of comments

    Keyword Arguments:
        wrtVar {string} -- with respect to variable (default: {None})

    Returns:
        finalSteps {string} -- final result in LaTeX
    """

    equationLatex = []
    for eqTokens in equationTokens:
        equationLatex.append(tokensToLatex(eqTokens))

    finalSteps = ''
    if not simul:
        if operation in ['combination', 'permutation']:
            finalSteps = 'INPUT: ' + '(Combinatorics ' + r'$' + ' tokens)' + r'$' + '\n'
        else:
            finalSteps = 'INPUT: ' + r'$' + equationLatex[0] + r'$' + '\n'
    else:
        finalSteps = 'INPUT: ' + '(Multiple ' + r'$' + ' equations)' + r'$' + '\n'
    finalSteps += 'OPERATION: ' + operation + '\n'
    finalSteps += 'OUTPUT: ' + r'$' + equationLatex[-1] + r'$' + 2*'\n'

    for i, _ in enumerate(equationLatex):
        if comments[i] != [] and equationLatex[i] != '':
            finalSteps += '(' + str(comments[i][0]) + ')' + '\n'
            finalSteps += r'$' + equationLatex[i] + r'$' + 2*"\n"
        elif comments[i] != [] and equationLatex[i] == '':
            finalSteps += '\n' + '[' + str(comments[i][0]) + ']' + '\n'
        elif comments[i] == [] and equationLatex[i] != '':
            finalSteps += '\n' + r'$' + equationLatex[i] + r'$' + 2*'\n'

    if mathError(equationTokens[-1]) and (not simul):
        finalSteps += 'Math Error: LHS not equal to RHS' + "\n"

    return finalSteps


def resultStringCLI(equationTokens, operation, comments, solutionType, simul=False, mat=False):
    """Converts tokens to final string format for displaying in terminal in CLI

    Arguments:
        equationTokens {list} -- list of animations or step by step tokens
        operation {string} -- operation performed on input
        comments {list} -- list of comments
        solutionType {string} -- type of solution expression/equation
        simul{bool} -- True indicates user has entered simultaneous equation

    Returns:
        finalSteps {string} -- final result to be displayed in CLI
    """

    equationString = []
    for x in equationTokens:
        equationString.append(tokensToString(x))

    commentsString = []
    for x in comments:
        if not x:
            commentsString.append([])
        else:
            for y in x:
                commentsString.append([y.translate({ord(c): None for c in '${\}'})])

    finalSteps = ''
    finalSteps = 'INPUT: ' + equationString[0] + '\n'
    finalSteps += 'OPERATION: ' + operation + '\n'
    finalSteps += 'OUTPUT: ' + equationString[-1] + 2*'\n'
    finalSteps += 'STEP-BY-STEP SOLUTION: ' + '\n'

    for i, _ in enumerate(equationString):
        if comments[i] != [] and equationString[i] != '':
            finalSteps += '(' + str(commentsString[i][0]) + ')' + '\n'
            finalSteps += equationString[i] + 2*"\n"
        elif comments[i] != [] and equationString[i] == '':
            finalSteps += '\n' + '[' + str(commentsString[i][0]) + ']' + '\n'
        elif comments[i] == [] and equationString[i] != '':
            finalSteps += '\n' + equationString[i] + 2*'\n'

    if mathError(equationTokens[-1]) and (not simul):
        finalSteps += 'Math Error: LHS not equal to RHS' + "\n"

    return finalSteps


def resultMatrixString(operation=None, operand1=None, operand2=None, nonMatrixResult=False, result=None):
    if operation == 'sub':
        operation = 'Subtraction'
    elif operation == 'add':
        operation = 'Addition'
    elif operation == 'mult':
        operation = 'Multiplication'
    elif operation == 'determinant':
        operation = 'Determinant'
    elif operation == 'trace':
        operation = 'Trace: sum of diagonal elements'
    elif operation == 'simplify':
        operation = 'Simplification'
    finalSteps = ''
    if operand2 is not None:
        finalSteps += 'INPUT: ' + 'Two matrices provided as follows:' + 2*'\n'
        finalSteps += '1st Matrix Provided: \n'
        finalSteps += operand1.convertMatrixToString(False) + '\n'
        finalSteps += '2nd Matrix Provided: \n'
        finalSteps += operand2.convertMatrixToString(False) + 2*'\n'
    else:
        finalSteps += 'INPUT: ' + 'Single matrix provided as follows:' + '\n'
        finalSteps += '1st Matrix Provided: \n'
        finalSteps += operand1.convertMatrixToString(False) + '\n'
    finalSteps += 'OPERATION: ' + operation + 2*'\n'
    if not nonMatrixResult:
        finalSteps += 'RESULT: Result Matrix calculated as: \n'
        finalSteps += result.convertMatrixToString(False) + '\n'
    else:
        finalSteps += 'RESULT: Result calculated as: \n'
        finalSteps += tokensToString(result) + '\n'
    return finalSteps


def resultMatrixStringLatex(operation=None, operand1=None, operand2=None, nonMatrixResult=False, result=None):
    # TODO: use package /asmath for displaying Matrices in Step By Step figure

    if operation == 'sub':
        operation = 'Subtraction'
    elif operation == 'add':
        operation = 'Addition'
    elif operation == 'mult':
        operation = 'Multiplication'
    elif operation == 'determinant':
        operation = 'Determinant'
    elif operation == 'trace':
        operation = 'Trace: sum of diagonal elements'
    elif operation == 'simplify':
        operation = 'Simplification'
    finalSteps = ''
    if operand2 is not None:
        finalSteps += 'INPUT: ' + 'Two matrices provided as follows:' + 2*'\n'
        finalSteps += '1st Matrix Provided: \n'
        finalSteps += operand1.convertMatrixToString(True) + '\n'
        finalSteps += '2nd Matrix Provided: \n'
        finalSteps += operand2.convertMatrixToString(True) + 2*'\n'
    else:
        finalSteps += 'INPUT: ' + 'Single matrix provided as follows:' + '\n'
        finalSteps += '1st Matrix Provided: \n'
        finalSteps += operand1.convertMatrixToString(True) + '\n'
    finalSteps += 'OPERATION: ' + operation + 2*'\n'
    if not nonMatrixResult:
        finalSteps += 'RESULT: Result Matrix calculated as: \n'
        finalSteps += result.convertMatrixToString(True) + '\n'
    else:
        finalSteps += 'RESULT: Result calculated as: \n'
        finalSteps += tokensToString(result) + '\n'
    return finalSteps


def tokensToLatex(eqTokens):
    """Converts tokens to LaTeX string

    Arguments:
        eqTokens {list} -- list of function tokens

    Returns:
        eqLatex {string} -- equation string in LaTeX
    """
    eqLatex = ""
    for token in eqTokens:
        if isinstance(token, Matrix):
            eqLatex += "\\begin{bmatrix}"
            for row in token.value:
                for column in row:
                    for term in column:
                        eqLatex += term.__str__()
                    if row.index(column) < len(row) - 1:
                        eqLatex += '&'
                    elif row.index(column) == len(row) - 1 and token.value.index(row) < len(token.value) - 1:
                        eqLatex += '\\\\'
            eqLatex += "\\end{bmatrix}"
        else:
            eqLatex += token.__str__()
    return eqLatex


def latexToTerms(terms):

    for index, term in enumerate(terms):
        if term == 'frac':
            terms.remove(terms[index])
            if index < len(terms):
                terms.remove(terms[index])
                j = index
                while j < len(terms) and terms[j] != '}':
                    j += 1
                if j < len(terms):
                    terms.remove(terms[j])
                    terms.insert(j, '/')
                if j+1 < len(terms):
                    terms.remove(terms[j+1])
                while j < len(terms) and terms[j] != '}':
                    j += 1
                if j < len(terms):
                    terms.remove(terms[j])

    return terms


def tokensToString(tokens):
    """Converts tokens to text string

    Arguments:
        tokens {list} -- list of function tokens

    Returns:
        tokenString {string} -- equation string
    """
    # FIXME: tokensToString method
    tokenString = ''
    for token in tokens:
        if isinstance(token, Constant):
            if isinstance(token.value, list):
                for j, val in token.value:
                    if token['power'][j] != 1:
                        tokenString += (str(val) + '^(' + str(token.power[j]) + ')')
                    else:
                        tokenString += str(val)
            elif isNumber(token.value):
                if token.power != 1:
                    tokenString += (str(token.value) + '^(' + str(token.power) + ')')
                else:
                    tokenString += str(token.value)
        elif isinstance(token, Variable):
            if token.coefficient == 1:
                pass
            elif token.coefficient == -1:
                tokenString += '-'
            else:
                tokenString += str(token.coefficient)
            for j, val in enumerate(token.value):
                if token.power[j] != 1:
                    tokenString += (str(val) + '^(' + str(token.power[j]) + ')')
                else:
                    tokenString += str(val)
        elif isinstance(token, Binary):
            tokenString += ' ' + str(token.value) + ' '
        elif isinstance(token, Expression):
            if token.coefficient != 1:
                tokenString += str(token.coefficient) + '*'
            tokenString += '('
            tokenString += tokensToString(token.tokens)
            tokenString += ')'
            if token.power != 1:
                tokenString += '^(' + str(token.power) + ')'
        elif isinstance(token, Sqrt):
            tokenString += 'sqrt['
            if isinstance(token.power, Constant):
                tokenString += tokensToString([token.power])
            elif isinstance(token.power, Variable):
                tokenString += tokensToString([token.power])
            elif isinstance(token.power, Expression):
                tokenString += tokensToString(token.power.tokens)
            tokenString += ']('
            if isinstance(token.operand, Constant):
                tokenString += tokensToString([token.operand])
            elif isinstance(token.operand, Variable):
                tokenString += tokensToString([token.operand])
            elif isinstance(token.operand, Expression):
                tokenString += tokensToString(token.operand.tokens)
            tokenString += ')'
        elif isinstance(token, Logarithm):
            if token.coefficient == 1:
                pass
            elif token.coefficient == -1:
                tokenString += '-'
            else:
                tokenString += str(token.coefficient)
            if token.operand is not None:
                tokenString += token.value
                if token.power != 1:
                    tokenString += "^" + "(" + str(token.power) + ")"
                tokenString += "(" + tokensToString([token.operand]) + ")"
        elif isinstance(token, Trigonometric):
            if token.coefficient == 1:
                pass
            elif token.coefficient == -1:
                tokenString += '-'
            else:
                tokenString += str(token.coefficient)
            if token.operand is not None:
                tokenString += token.value
                if token.power != 1:
                    tokenString += "^" + "(" + str(token.power) + ")"
                tokenString += "(" + tokensToString([token.operand]) + ")"
        elif isinstance(token, Matrix):
            tokenString += "["
            for i in range(token.dim[0]):
                for j in range(token.dim[1]):
                    tokenString += tokensToString(token.value[i][j])
                    tokenString += ","
                tokenString = tokenString[:-1] + ";"
            tokenString = tokenString[:-1] + "]"

    return tokenString