From c36d7de7d9c4d1383c3e9dba133b3beee63f081c Mon Sep 17 00:00:00 2001 From: Gourav2000 Date: Mon, 19 Oct 2020 11:47:50 +0530 Subject: [PATCH 1/3] added matrix Inversion --- dev-requirements.txt | 3 +- mathgenerator/funcs/__init__.py | 1 + mathgenerator/funcs/matrixInversion.py | 68 ++++++++++++++++++++++++++ mathgenerator/mathgen.py | 2 + 4 files changed, 73 insertions(+), 1 deletion(-) create mode 100644 mathgenerator/funcs/matrixInversion.py diff --git a/dev-requirements.txt b/dev-requirements.txt index c29cf4e..7b33738 100644 --- a/dev-requirements.txt +++ b/dev-requirements.txt @@ -1,4 +1,5 @@ pytest hypothesis flake8 -autopep8 \ No newline at end of file +autopep8 +sympy \ No newline at end of file diff --git a/mathgenerator/funcs/__init__.py b/mathgenerator/funcs/__init__.py index efb1ce7..ac2c2a8 100644 --- a/mathgenerator/funcs/__init__.py +++ b/mathgenerator/funcs/__init__.py @@ -71,3 +71,4 @@ from .multiplyComplexNumbersFunc import * from .geomProgrFunc import * from .geometricMeanFunc import * from .harmonicMeanFunc import * +from .matrixInversion import * diff --git a/mathgenerator/funcs/matrixInversion.py b/mathgenerator/funcs/matrixInversion.py new file mode 100644 index 0000000..7de9f15 --- /dev/null +++ b/mathgenerator/funcs/matrixInversion.py @@ -0,0 +1,68 @@ +from .__init__ import * + +def matrixInversion(SquareMatrixDimension=3, MaxMatrixElement=99, OnlyIntegerElementsInInvertedMatrix=False): + if OnlyIntegerElementsInInvertedMatrix is True: + isItOk = False + Mat = list() + while (isItOk is False): + Mat = list() + for i in range(0, SquareMatrixDimension): + z = list() + for j in range(0, SquareMatrixDimension): + z.append(0) + z[i] = 1 + Mat.append(z) + MaxAllowedMatrixElement = math.ceil( + pow(MaxMatrixElement, 1 / (SquareMatrixDimension))) + randomlist = random.sample( + range(0, MaxAllowedMatrixElement + 1), SquareMatrixDimension) + + for i in range(0, SquareMatrixDimension): + if i == SquareMatrixDimension - 1: + Mat[0] = [j + (k * randomlist[i]) + for j, k in zip(Mat[0], Mat[i])] + else: + Mat[i + 1] = [j + (k * randomlist[i]) + for j, k in zip(Mat[i + 1], Mat[i])] + + for i in range(1, SquareMatrixDimension - 1): + Mat[i] = [sum(i) + for i in zip(Mat[SquareMatrixDimension - 1], Mat[i])] + + isItOk = True + for i in Mat: + for j in i: + if j > MaxMatrixElement: + isItOk = False + break + if isItOk is False: + break + + random.shuffle(Mat) + Mat = sympy.Matrix(Mat) + Mat = sympy.Matrix.transpose(Mat) + Mat = Mat.tolist() + random.shuffle(Mat) + Mat = sympy.Matrix(Mat) + Mat = sympy.Matrix.transpose(Mat) + + else: + randomlist = list(sympy.primerange(0, MaxMatrixElement + 1)) + plist = random.sample(randomlist, SquareMatrixDimension) + randomlist = random.sample( + range(0, MaxMatrixElement + 1), SquareMatrixDimension * SquareMatrixDimension) + randomlist = list(set(randomlist) - set(plist)) + n_list = random.sample( + randomlist, SquareMatrixDimension * (SquareMatrixDimension - 1)) + Mat = list() + for i in range(0, SquareMatrixDimension): + z = list() + z.append(plist[i]) + for j in range(0, SquareMatrixDimension - 1): + z.append(n_list[(i * SquareMatrixDimension) + j - i]) + random.shuffle(z) + Mat.append(z) + Mat = sympy.Matrix(Mat) + problem = 'Inverse of Matrix ' + str(Mat) + ' is:' + solution = str(sympy.Matrix.inv(Mat)) + return problem, solution \ No newline at end of file diff --git a/mathgenerator/mathgen.py b/mathgenerator/mathgen.py index 0e813a6..004fbcc 100644 --- a/mathgenerator/mathgen.py +++ b/mathgenerator/mathgen.py @@ -1,6 +1,7 @@ import random import math import fractions +import sympy from .funcs import * genList = [] @@ -156,3 +157,4 @@ complexNumMultiply = Generator("Multiplication of 2 complex numbers", 64, "(x + 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) geometricMean=Generator("Geometric Mean of N Numbers",66,"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) +invertmatrix = Generator("Inverse of a Matrix", 68, "Inverse of a matrix A is", "A^(-1)", matrixInversion) \ No newline at end of file From b3a80ee8cef0ee86b02ee1a8b95e7ecb70d07178 Mon Sep 17 00:00:00 2001 From: lukew3 Date: Mon, 19 Oct 2020 09:49:32 -0400 Subject: [PATCH 2/3] localized sympy --- mathgenerator/funcs/matrixInversion.py | 3 ++- mathgenerator/mathgen.py | 1 - test.py | 1 + 3 files changed, 3 insertions(+), 2 deletions(-) diff --git a/mathgenerator/funcs/matrixInversion.py b/mathgenerator/funcs/matrixInversion.py index 7de9f15..822cb83 100644 --- a/mathgenerator/funcs/matrixInversion.py +++ b/mathgenerator/funcs/matrixInversion.py @@ -1,4 +1,5 @@ from .__init__ import * +import sympy def matrixInversion(SquareMatrixDimension=3, MaxMatrixElement=99, OnlyIntegerElementsInInvertedMatrix=False): if OnlyIntegerElementsInInvertedMatrix is True: @@ -65,4 +66,4 @@ def matrixInversion(SquareMatrixDimension=3, MaxMatrixElement=99, OnlyIntegerEle Mat = sympy.Matrix(Mat) problem = 'Inverse of Matrix ' + str(Mat) + ' is:' solution = str(sympy.Matrix.inv(Mat)) - return problem, solution \ No newline at end of file + return problem, solution diff --git a/mathgenerator/mathgen.py b/mathgenerator/mathgen.py index 4a0810c..01456be 100644 --- a/mathgenerator/mathgen.py +++ b/mathgenerator/mathgen.py @@ -1,7 +1,6 @@ import random import math import fractions -import sympy from .funcs import * genList = [] diff --git a/test.py b/test.py index 925ced3..e5bb2c1 100644 --- a/test.py +++ b/test.py @@ -3,3 +3,4 @@ from mathgenerator import mathgen #test your generators here print(mathgen.addition()) +print(mathgen.genById(74)) From ac1581e9410b9a92dd2fffd17167377d2a302134 Mon Sep 17 00:00:00 2001 From: Luke Weiler Date: Mon, 19 Oct 2020 10:01:43 -0400 Subject: [PATCH 3/3] Update README.md --- README.md | 5 +---- 1 file changed, 1 insertion(+), 4 deletions(-) diff --git a/README.md b/README.md index 6c692b0..f2d81dc 100644 --- a/README.md +++ b/README.md @@ -78,10 +78,7 @@ problem, solution = mathgen.genById(0) | 43 | Cross Product of 2 Vectors | [4, -11, 9] X [-8, -19, -5] = | [226, -52, -164] | vectorCross | | 44 | Compare Fractions | Which symbol represents the comparison between 3/7 and 2/4? | < | compareFractions | | 45 | Simple Interest | Simple interest for a principle amount of 2398 dollars, 9% rate of interest and for a time period of 5 years is = | 1079.1 | simpleInterest | -| 46 | Multiplication of two matrices | Multiply -
-83 6 91 4 -58 91 -91 47 -87
4 -2 24 66 -58 -58 -46 -96 52
-5 5 -53 74 31 -67 65 -31 56
77 -16 -73 50 54 -46 -11 91 64
and - -
-59 -20 -50 -79 75 96
-56 36 70 47 -79 64
6 0 -8 -53 -23 -83
-42 -84 21 -10 -42 98
-9 -62 -15 -68 -49 -59
-81 -84 3 58 -84 -59
-56 33 73 98 51 -19
-81 -96 -98 61 -32 73
-43 66 83 90 -22 -94]] | [[ 3120, -15765, -13401, -2683, -17993, -3354] +| 46 | Multiplication of two matrices | Multiply
-50367-26-263
88-3760-1961-56
48-569-87-64-92
-84-50-79-1986-13
02812-1473-49
94-90226-3819
2-1179-7798-77
-877072-3264-99
and
3432-6-3246-2378-81-18
-172449-62-507738-98-64
-23-7843 5-83-5 4-92-16
46-47-9252-25-374451-7
2026703796-73498442
-72-15-80-2458-47-4145-69
|
-8245-1057-423-3535-5692034-63291219-5765
6619 5671073723914001-629110147-73876383
1472-16113318-5565-1257410381 638-236992621
159355983465789913170-6487-48572464210618
359230271220614732120-4126082-6354561
3748-1803-1146020725462-8183242311 947
2400 960229502483 952-19744625-55129372
1132-2067223921884-1227681961949-71485677
| matrixMultiplication | [ 10584, 13902, 11916, -7446, 4430, 554] [ -1800, 6587, 14343, 6224, 4525, 4853] [-12452, -10675, -8693, 427, 2955, 17691]] | matrixMultiplication |