ASU-Math-Lab-Project-detailed-description.

Intro

ASU-Math-Lab-Project aims to Implement mathematical library software Similar to Matlab, Octave and similar tools.

Environment

This is a complete C/C++ Implementation that developed under Linux environment.

Phases

It consists of three phases:

• Phase 1: Core Operations
• Phase 2: Advanced Operations and Tuning
• Phase 3: Advanced system operations

Phase 1 Requirements

• Implement C++ class for matrix
• Support dynamic creation and destruction of matrices of any size
• Support addition, subtraction, multiplication, transpose and division
• Process input user commands and show results directly
• Process input file, show each step result then exit

Supported Operations

• add ( + )
• sub ( - )
• mult ( * )
• div ( / )
• elementWiseDiv ( ./ )
• cascaded equal

Operations Example

> A = [1.4 2.2 3.2; 4.4 5.4 6.4; 3.3 4.2 2.2];
> B = [1.5 4.1 5.4; 3.1 4.2 1.2; 3.2 4.3 2.2];
> C = A + B
> D = A - B
> E = A * B
> F = A / B
> G = A’

Phase 2: Advanced Operations and Tuning

• Support mathematical functions.

  Trigonometric, Logarithmic, Roots, Power

• Support mathematical expressions.

  Either with (dot) or not.

• Support flexible matrix parser.

  Accept matrix in matrix, expressions and variables.

• Support error handling.

  Do not crash for invalid input.

Supported Operations

• supported operations in phase 1
• Sine
• Power
• Sqrt
• Log
• matrix parser
• rand( , ), eye( , ), zeros( , )and ones( , )

Operations Example

A = [1.4 2.2 3.2; 4.4 5.4 6.4; 3.3 4.2 2.2];
B = [1.5 4.1 5.4; 3.1 4.2 1.2; 3.2 4.3 2.2];
A = 5.5 + 12 * sin(0.4) + 2.2^4;
B = [1.2 2.3 A;[1.3 2.4;4.6 1.3],[3.2;7.8]];
C = [[B [3.4; 2.1; 3.5+9.1]] 1.2^3 3+1.2 15/(2.1+10*sin(0.12))  1.2]
D = rand(4,4)
E = eye(4, 4)
F = zeros(2, 3)
G = ones(3, 6)
L = (1.2 + 3.4 - 5.6)/(2.1*3.2 + 4.6) - 12.1*3.1 + (1.2 + 5.2)^(4/(3.2+5.6))
X = ((C*D .+ 4)./2.1 + sqrt(D))./C.^2
Y = (C^3 * sin(1./D))^(0.1)

Debugging

We use the Valgrind Profiler for profiling