computerV2

Dependencies

The dependencies you need are haskell and stack.
To get them, check https://www.haskell.org/platform/
You also need cairo:

• sudo apt-get install libghc-cairo-dev for ubuntu
• brew install cairo for MacOS

Project

To start the project use:
git clone https://github.com/glegendr/ComputerV2.git; cd ComputerV2; sh compile.sh
You will get a binary call ComputerV2

Variables

Types

There is 4 types of variables:

Type	Set	Description
Rationals	Q	Number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q
Imaginary	a + ib -> (a, b) ∈ Q^2	Complex number that can be written as a real number multiplied by the imaginary unit i
Matrix	A ∈ Mn,p(Q)	Rectangular array of numbers, symbols, or expressions, arranged in rows and columns
Functions		Function with one argument

Creation

> {variableName} = {variableValue}
To create a variable, you have to give the name followed by the value.
You can give a computation as value.
All variables name are not case sensitive.

Rational:

> myVar = 4 + 23.5
  27.5
> myVarB = myVar - 50
  -22.5

Imaginary:

> myIma = 3i + 42
  42.0 + 3.0i
> myImaB = myIma^2  
  1755.0 + 252.0i 

Matrix:

> mat = [[1,2,3];[4,5,6]]
  [1.0,2.0,3.0]
  [4.0,5.0,6.0]
> matB = mat ** [[1];[2];[3]]
  [14.0]
  [32.0]

Functions:

> f(x) = 42x + 21
  42.0x + 21.0 
> myFunctionB(myVariableName) = myVariableName * (4 + 2)
  6.0myvariablename 

If you create a variable that already exist, the older one will be overwritten.

Computation

> {computationA} = {computationB} ?
The computation part allows you to:

• Display the value of calculation
• Check if the first part of the computation is the same as the second one
• Solve quadratic equation

> 43 + 53/2 = ?
  69.5
> [[1.0,2.0,3.0],[4.0,5.0,6.0]]** [[1];[2];[3]] = [[14.0];[32.0]] ?
  True
> 4x + 32 - 2x^2 = 0 ?
  Reduced Form: -2.0x^2 + 4.0x + 32.0 = 0
  The two solutions are:
    5.1231055
    -3.1231055

Commands

All Commands

> {commandName}:{commandArg1}:{commandArg2}:...:{commandArgN}

Name	Description
help	Display help message
list	List all existing variables
history	List all given input except commands
del	Del a variable
replace	Replace variable name by an other
show	Create a plot
quit	Quit the program

Help Command

> help:{helpArgs}
This command displays help

Short	Medium	Long	Description
h		help	Display this message
c		commands	List all existing command
l		list	Display the command list
i		history	Display the command history
d		del	Display the command del
r		replace	Display the command replace
s		show	Display the command show
q		quit	Display the command quit
o	ope	operators	Display all operators
?		computation	Display how to compute

List Command

> list:{listArgs}
List all existing variables

Short	Medium	Long	Description
r	rat	rationals	List all exsting rationals
i	ima	imaginary	List all exsting imaginary
m	mat	matrix	List all exsting matrix
f	fct	functions	List all exsting functions
c	cst	constants	List all exsting constants
a		all	List all exsting var and constants

History Command

> history:{historyArgs}
List all given input except commands, excluding del and replace

The only argument taken is the number of input you want to display.

• N: List N last input

Default is the list of all input.

Del Command

> del:{delArgs}
The del command delete a named variable or a pull of variables

Short	Medium	Long	Description
X			Delete variable with name X
a		all	Delete all variables
d	dup	duplicate	Delete all duplicates

Replace Command

> replace:{replaceArgs}
The replace command replace the name of a variable by another.
If the chosen name is already a variable, the two names will swap each other.

The only argument taken by replace is the current name of the variable and the new one.

• X:Y Replace var name X by Y. If Y exist the 2 name are swapping

Show Command

> show:{showArgs}
The show command creates a plot of the given fuction

Short	Medium	Long	Description	Default
f=x,y..	fct=x,y..	function=x,y..	Function to display
o=x	out=x	output=x	Name of created file	Creation date or title if set
t=x		title=x	Title of the graph	Creation date or output if set
		min=x	Start of the X axis	-100
		max=x	End of the X axis	100
		down=x	Start of the Y axis	-∞
		up=x	End of the Y axis	∞
s=x		scale=x	Scaling between each calculation dot	((min - max) / 2000)

The plot is a SVG file created at charts/{output}.svg

For example, the command
> show:function=f:min=-7.5:max=7.4:down=-20:up=20:title=boomerang:scale=0.0025
would display:

You can also use more than one function as:
> show:function=f,z:min=-7.5:max=7.4:down=-20:up=20:title=star:scale=0.0025
would display:

where

> f(x) = 1/x
  x^-1 
> z(x) = -1/x
  -x^-1

Quit Command

> quit
Quit the program.

Author

@glegendr