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mathgenerator/funcs/__init__.py

@@ -71,3 +71,8 @@ from .multiplyComplexNumbersFunc import *
 from .geomProgrFunc import *
 from .geometricMeanFunc import *
 from .harmonicMeanFunc import *
+from .euclidianNormFunc import *
+from .angleBtwVectorsFunc import *
+from .absoluteDifferenceFunc import *
+from .vectorDotFunc import *
+from .binary2sComplement import *

mathgenerator/funcs/absoluteDifferenceFunc.py

@@ -0,0 +1,10 @@
+from  .__init__ import *
+
+def absoluteDifferenceFunc (maxA = 100, maxB = 100):
+	a = random.randint(-1*maxA, maxA)
+	b = random.randint(-1*maxB, maxB)
+	absDiff = abs(a-b)
+
+	problem = "Absolute difference between numbers " + str(a) + " and " + str(b) + " = "
+	solution = absDiff
+	return problem, solution

mathgenerator/funcs/angleBtwVectorsFunc.py

@@ -0,0 +1,16 @@
+from .euclidianNormFunc import euclidianNormFunc
+import math
+from .__init__ import *
+
+
+def angleBtwVectorsFunc(v1: list, v2: list):
+    sum = 0
+    for i in v1:
+        for j in v2:
+            sum += i * j
+
+    mags = euclidianNormFunc(v1) * euclidianNormFunc(v2)
+    problem = f"angle between the vectors {v1} and {v2} is:"
+    solution = math.acos(sum / mags)
+    # would return the answer in radians
+    return problem, solution

mathgenerator/funcs/binary2sComplement.py

@@ -0,0 +1,26 @@
+from  .__init__ import *
+
+def binary2sComplementFunc(maxDigits=10):
+    digits = random.randint(1, maxDigits)
+    question = ''.join([str(random.randint(0, 1)) for i in range(digits)]).lstrip('0')
+
+    answer = []
+    for i in question:
+        answer.append(str(int(not bool(int(i)))))
+
+    carry = True
+    j = len(answer) - 1
+    while j >= 0:
+        if answer[j] == '0':
+            answer[j] = '1'
+            carry = False
+            break
+        answer[j] = '0'
+        j -= 1
+
+    if j == 0 and carry == True:
+        answer.insert(0, '1')
+
+    problem = "2's complement of " + question + " ="
+    solution = ''.join(answer).lstrip('0')
+    return problem, solution

mathgenerator/funcs/euclidianNormFunc.py

@@ -0,0 +1,7 @@
+from .__init__ import *
+
+
+def euclidianNormFunc(v1: list):
+    problem = f"Euclidian norm or L2 norm of the vector{v1} is:"
+    solution = sqrt(sum([i**2 for i in v1]))
+    return problem, solution

mathgenerator/funcs/vectorDotFunc.py

@@ -0,0 +1,11 @@
+from .__init__ import *
+
+
+def vectorDotFunc(minVal=-20, maxVal=20):
+     a = [random.randint(minVal, maxVal) for i in range(3)]
+     b = [random.randint(minVal, maxVal) for i in range(3)]
+     c = a[0] * b[0] +  a[1] * b[1] + a[2] * b[2] 
+
+     problem = str(a) + " . " + str(b) + " = "
+     solution = str(c)
+     return problem, solution

mathgenerator/mathgen.py

@@ -70,15 +70,15 @@ surfaceAreaCubeGen = Generator("Surface Area of Cube", 32, "Surface area of cube
 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)
+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)
+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)
+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)
+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)
+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)
@@ -88,18 +88,23 @@ quadraticEquationSolve = Generator("Quadratic Equation", 50, "Find the zeros {x1
 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)
+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)
+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", 59, "Surface area of sphere with radius = a units is", "d units^2", surfaceAreaSphere)
+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", 60,"Volume of sphere with radius r m = ", "(4*pi/3)*r*r*r", volumeSphereFunc)
+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", 61, "What is the nth Fibonacci number", "Fn", nthFibonacciNumberFunc)
+nthFibonacciNumberGen = Generator("nth Fibonacci number", 62, "What is the nth Fibonacci number", "Fn", nthFibonacciNumberFunc)
-profitLossPercent = Generator("Profit or Loss Percent", 62, "Profit/ Loss percent when CP = cp and SP = sp is: ", "percent", profitLossPercentFunc)
+profitLossPercent = Generator("Profit or Loss Percent", 63, "Profit/ Loss percent when CP = cp and SP = sp is: ", "percent", profitLossPercentFunc)
-binaryToHex = Generator("Binary to Hexidecimal", 63, "Hexidecimal of a=", "b", binaryToHexFunc)
+binaryToHex = Generator("Binary to Hexidecimal", 64, "Hexidecimal of a=", "b", binaryToHexFunc)
-complexNumMultiply = Generator("Multiplication of 2 complex numbers", 64, "(x + j) (y + j) = ", "xy + xj + yj -1", multiplyComplexNumbersFunc)
+complexNumMultiply = Generator("Multiplication of 2 complex numbers", 65, "(x + j) (y + j) = ", "xy + xj + yj -1", multiplyComplexNumbersFunc)
-geometricprogression = Generator("Geometric Progression", 65, "Initial value,Common Ratio,nth Term,Sum till nth term =", "a,r,ar^n-1,sum(ar^n-1", geomProgrFunc)
+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",66,"Geometric mean of n numbers A1 , A2 , ... , An = ","(A1*A2*...An)^(1/n) = ans",geometricMeanFunc)
+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",67,"Harmonic mean of n numbers A1 , A2 , ... , An = "," n/((1/A1) + (1/A2) + ... + (1/An)) = ans",harmonicMeanFunc)
+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)