import random
import math
import fractions
from .funcs import *
from .__init__ import getGenList

genList = getGenList()

# || Generator class


class Generator:
    def __init__(self, title, id, generalProb, generalSol, func):
        self.title = title
        self.id = id
        self.generalProb = generalProb
        self.generalSol = generalSol
        self.func = func
        genList.append([id, title, self])

    def __str__(self):
        return str(
            self.id
        ) + " " + self.title + " " + self.generalProb + " " + self.generalSol

    def __call__(self, **kwargs):
        return self.func(**kwargs)


# || Non-generator Functions
def genById(id):
    generator = genList[id][2]
    return (generator())


#
# def getGenList():
#    return(genList)

# Format is:
# <title> = Generator("<Title>", <id>, <generalized problem>, <generalized solution>, <function name>)
# Funcs_start - DO NOT REMOVE!
# addition = Generator("Addition", 0, "a+b=", "c", additionFunc)
subtraction = Generator("Subtraction", 1, "a-b=", "c", subtractionFunc)
multiplication = Generator("Multiplication", 2, "a*b=", "c",
                           multiplicationFunc)
division = Generator("Division", 3, "a/b=", "c", divisionFunc)
binaryComplement1s = Generator("Binary Complement 1s", 4, "1010=", "0101",
                               binaryComplement1sFunc)
moduloDivision = Generator("Modulo Division", 5, "a%b=", "c", moduloFunc)
squareRoot = Generator("Square Root", 6, "sqrt(a)=", "b", squareRootFunc)
powerRuleDifferentiation = Generator("Power Rule Differentiation", 7, "nx^m=",
                                     "(n*m)x^(m-1)",
                                     powerRuleDifferentiationFunc)
square = Generator("Square", 8, "a^2", "b", squareFunc)
lcm = Generator("LCM (Least Common Multiple)", 9, "LCM of a and b = ", "c",
                lcmFunc)
gcd = Generator("GCD (Greatest Common Denominator)", 10, "GCD of a and b = ",
                "c", gcdFunc)
basicAlgebra = Generator("Basic Algebra", 11, "ax + b = c", "d",
                         basicAlgebraFunc)
log = Generator("Logarithm", 12, "log2(8)", "3", logFunc)
intDivision = Generator("Easy Division", 13, "a/b=", "c", divisionToIntFunc)
decimalToBinary = Generator("Decimal to Binary", 14, "Binary of a=", "b",
                            DecimalToBinaryFunc)
binaryToDecimal = Generator("Binary to Decimal", 15, "Decimal of a=", "b",
                            BinaryToDecimalFunc)
fractionDivision = Generator("Fraction Division", 16, "(a/b)/(c/d)=", "x/y",
                             divideFractionsFunc)
intMatrix22Multiplication = Generator("Integer Multiplication with 2x2 Matrix",
                                      17, "k * [[a,b],[c,d]]=",
                                      "[[k*a,k*b],[k*c,k*d]]",
                                      multiplyIntToMatrix22)
areaOfTriangle = Generator("Area of Triangle", 18,
                           "Area of Triangle with side lengths a, b, c = ",
                           "area", areaOfTriangleFunc)
doesTriangleExist = Generator("Triangle exists check", 19,
                              "Does triangle with sides a, b and c exist?",
                              "Yes/No", isTriangleValidFunc)
midPointOfTwoPoint = Generator("Midpoint of the two point", 20,
                               "((X1,Y1),(X2,Y2))=", "((X1+X2)/2,(Y1+Y2)/2)",
                               MidPointOfTwoPointFunc)
factoring = Generator("Factoring Quadratic", 21, "x^2+(x1+x2)+x1*x2",
                      "(x-x1)(x-x2)", factoringFunc)
thirdAngleOfTriangle = Generator("Third Angle of Triangle", 22,
                                 "Third Angle of the triangle = ", "angle3",
                                 thirdAngleOfTriangleFunc)
systemOfEquations = Generator("Solve a System of Equations in R^2", 23,
                              "2x + 5y = 13, -3x - 3y = -6", "x = -1, y = 3",
                              systemOfEquationsFunc)
distance2Point = Generator("Distance between 2 points", 24,
                           "Find the distance between (x1,y1) and (x2,y2)",
                           "sqrt(distanceSquared)", distanceTwoPointsFunc)
pythagoreanTheorem = Generator(
    "Pythagorean Theorem", 25,
    "The hypotenuse of a right triangle given the other two lengths a and b = ",
    "hypotenuse", pythagoreanTheoremFunc)
# This has multiple variables whereas #23 has only x and y
linearEquations = Generator("Linear Equations", 26, "2x+5y=20 & 3x+6y=12",
                            "x=-20 & y=12", linearEquationsFunc)
primeFactors = Generator("Prime Factorisation", 27, "Prime Factors of a =",
                         "[b, c, d, ...]", primeFactorsFunc)
fractionMultiplication = Generator("Fraction Multiplication", 28,
                                   "(a/b)*(c/d)=", "x/y",
                                   multiplyFractionsFunc)
angleRegularPolygon = Generator(
    "Angle of a Regular Polygon", 29,
    "Find the angle of a regular polygon with 6 sides", "120",
    regularPolygonAngleFunc)
combinations = Generator(
    "Combinations of Objects", 30,
    "Combinations available for picking 4 objects at a time from 6 distinct objects =",
    " 15", combinationsFunc)
factorial = Generator("Factorial", 31, "a! = ", "b", factorialFunc)
surfaceAreaCubeGen = Generator("Surface Area of Cube", 32,
                               "Surface area of cube with side a units is",
                               "b units^2", surfaceAreaCube)
surfaceAreaCuboidGen = Generator(
    "Surface Area of Cuboid", 33,
    "Surface area of cuboid with sides = a units, b units, c units is",
    "d units^2", surfaceAreaCuboid)
surfaceAreaCylinderGen = Generator(
    "Surface Area of Cylinder", 34,
    "Surface area of cylinder with height = a units and radius = b units is",
    "c units^2", surfaceAreaCylinder)
volumeCubeGen = Generator("Volum of Cube", 35,
                          "Volume of cube with side a units is", "b units^3",
                          volumeCube)
volumeCuboidGen = Generator(
    "Volume of Cuboid", 36,
    "Volume of cuboid with sides = a units, b units, c units is", "d units^3",
    volumeCuboid)
volumeCylinderGen = Generator(
    "Volume of cylinder", 37,
    "Volume of cylinder with height = a units and radius = b units is",
    "c units^3", volumeCylinder)
surfaceAreaConeGen = Generator(
    "Surface Area of cone", 38,
    "Surface area of cone with height = a units and radius = b units is",
    "c units^2", surfaceAreaCone)
volumeConeGen = Generator(
    "Volume of cone", 39,
    "Volume of cone with height = a units and radius = b units is",
    "c units^3", volumeCone)
commonFactors = Generator("Common Factors", 40,
                          "Common Factors of {a} and {b} = ", "[c, d, ...]",
                          commonFactorsFunc)
intersectionOfTwoLines = Generator(
    "Intersection of Two Lines", 41,
    "Find the point of intersection of the two lines: y = m1*x + b1 and y = m2*x + b2",
    "(x, y)", intersectionOfTwoLinesFunc)
permutations = Generator(
    "Permutations", 42,
    "Total permutations of 4 objects at a time from 10 objects is", "5040",
    permutationFunc)
vectorCross = Generator("Cross Product of 2 Vectors", 43, "a X b = ", "c",
                        vectorCrossFunc)
compareFractions = Generator(
    "Compare Fractions", 44,
    "Which symbol represents the comparison between a/b and c/d?", ">/</=",
    compareFractionsFunc)
simpleInterest = Generator(
    "Simple Interest", 45,
    "Simple interest for a principle amount of a dollars, b% rate of interest and for a time period of c years is = ",
    "d dollars", simpleInterestFunc)
matrixMultiplication = Generator("Multiplication of two matrices", 46,
                                 "Multiply two matrices A and B", "C",
                                 matrixMultiplicationFunc)
CubeRoot = Generator("Cube Root", 47, "Cuberoot of a upto 2 decimal places is",
                     "b", cubeRootFunc)
powerRuleIntegration = Generator("Power Rule Integration", 48, "nx^m=",
                                 "(n/m)x^(m+1)", powerRuleIntegrationFunc)
fourthAngleOfQuadrilateral = Generator(
    "Fourth Angle of Quadrilateral", 49,
    "Fourth angle of Quadrilateral with angles a,b,c =", "angle4",
    fourthAngleOfQuadriFunc)
quadraticEquationSolve = Generator(
    "Quadratic Equation", 50,
    "Find the zeros {x1,x2} of the quadratic equation ax^2+bx+c=0", "x1,x2",
    quadraticEquation)
hcf = Generator("HCF (Highest Common Factor)", 51, "HCF of a and b = ", "c",
                hcfFunc)
diceSumProbability = Generator(
    "Probability of a certain sum appearing on faces of dice", 52,
    "If n dices are rolled then probabilty of getting sum of x is =", "z",
    DiceSumProbFunc)
exponentiation = Generator("Exponentiation", 53, "a^b = ", "c",
                           exponentiationFunc)
confidenceInterval = Generator("Confidence interval For sample S", 54,
                               "With X% confidence", "is (A,B)",
                               confidenceIntervalFunc)
surdsComparison = Generator("Comparing surds", 55,
                            "Fill in the blanks a^(1/b) _ c^(1/d)", "</>/=",
                            surdsComparisonFunc)
fibonacciSeries = Generator(
    "Fibonacci Series", 56, "fibonacci series of first a numbers",
    "prints the fibonacci series starting from 0 to a", fibonacciSeriesFunc)
basicTrigonometry = Generator("Trigonometric Values", 57, "What is sin(X)?",
                              "ans", basicTrigonometryFunc)
sumOfAnglesOfPolygon = Generator("Sum of Angles of Polygon", 58,
                                 "Sum of angles of polygon with n sides = ",
                                 "sum", sumOfAnglesOfPolygonFunc)
dataSummary = Generator("Mean,Standard Deviation,Variance", 59, "a,b,c",
                        "Mean:a+b+c/3,Std,Var", dataSummaryFunc)
surfaceAreaSphereGen = Generator(
    "Surface Area of Sphere", 60,
    "Surface area of sphere with radius = a units is", "d units^2",
    surfaceAreaSphere)
volumeSphere = Generator("Volume of Sphere", 61,
                         "Volume of sphere with radius r m = ",
                         "(4*pi/3)*r*r*r", volumeSphereFunc)
nthFibonacciNumberGen = Generator("nth Fibonacci number", 62,
                                  "What is the nth Fibonacci number", "Fn",
                                  nthFibonacciNumberFunc)
profitLossPercent = Generator(
    "Profit or Loss Percent", 63,
    "Profit/ Loss percent when CP = cp and SP = sp is: ", "percent",
    profitLossPercentFunc)
binaryToHex = Generator("Binary to Hexidecimal", 64, "Hexidecimal of a=", "b",
                        binaryToHexFunc)
complexNumMultiply = Generator("Multiplication of 2 complex numbers", 65,
                               "(x + j) (y + j) = ", "xy + xj + yj -1",
                               multiplyComplexNumbersFunc)
geometricprogression = Generator(
    "Geometric Progression", 66,
    "Initial value,Common Ratio,nth Term,Sum till nth term =",
    "a,r,ar^n-1,sum(ar^n-1", geomProgrFunc)
geometricMean = Generator("Geometric Mean of N Numbers", 67,
                          "Geometric mean of n numbers A1 , A2 , ... , An = ",
                          "(A1*A2*...An)^(1/n) = ans", geometricMeanFunc)
harmonicMean = Generator("Harmonic Mean of N Numbers", 68,
                         "Harmonic mean of n numbers A1 , A2 , ... , An = ",
                         " n/((1/A1) + (1/A2) + ... + (1/An)) = ans",
                         harmonicMeanFunc)
eucldianNorm = Generator("Euclidian norm or L2 norm of a vector", 69,
                         "Euclidian Norm of a vector V:[v1, v2, ......., vn]",
                         "sqrt(v1^2 + v2^2 ........ +vn^2)", euclidianNormFunc)
angleBtwVectors = Generator(
    "Angle between 2 vectors", 70,
    "Angle Between 2 vectors V1=[v11, v12, ..., v1n] and V2=[v21, v22, ....., v2n]",
    "V1.V2 / (euclidNorm(V1)*euclidNorm(V2))", angleBtwVectorsFunc)
absoluteDifference = Generator(
    "Absolute difference between two numbers", 71,
    "Absolute difference betweeen two numbers a and b =", "|a-b|",
    absoluteDifferenceFunc)
vectorDot = Generator("Dot Product of 2 Vectors", 72, "a . b = ", "c",
                      vectorDotFunc)
binary2sComplement = Generator("Binary 2's Complement", 73,
                               "2's complement of 11010110 =", "101010",
                               binary2sComplementFunc)
invertmatrix = Generator("Inverse of a Matrix", 74, "Inverse of a matrix A is",
                         "A^(-1)", matrixInversion)
sectorArea = Generator("Area of a Sector", 75,
                       "Area of a sector with radius, r and angle, a ", "Area",
                       sectorAreaFunc)
meanMedian = Generator("Mean and Median", 76,
                       "Mean and median of given set of numbers",
                       "Mean, Median", meanMedianFunc)
intMatrix22determinant = Generator("Determinant to 2x2 Matrix", 77,
                                   "Det([[a,b],[c,d]]) =", " a * d - b * c",
                                   determinantToMatrix22)
compoundInterest = Generator(
    "Compound Interest", 78,
    "Compound interest for a principle amount of p dollars, r% rate of interest and for a time period of t years with n times compounded annually is = ",
    "A dollars", compoundInterestFunc)
decimalToHexadeci = Generator("Decimal to Hexadecimal", 79, "Binary of a=",
                              "b", deciToHexaFunc)
percentage = Generator("Percentage of a number", 80, "What is a% of b?",
                       "percentage", percentageFunc)
celsiustofahrenheit = Generator("Celsius To Fahrenheit", 81, "(C +(9/5))+32=", "F", celsiustofahrenheitFunc)

arithmeticProgressionTerm = Generator("AP Term Calculation", 82,
                                      "Find the term number n of the AP series: a1, a2, a3 ...",
                                      "a-n", arithmeticProgressionTermFunc)

arithmeticProgressionSum = Generator("AP Sum Calculation", 83,
                                     "Find the sum of first n terms of the AP series: a1, a2, a3 ...",
                                     "Sum", arithmeticProgressionSumFunc)