Simple introduction to using functions in Flowgorithm and passing variables between functions.
Flowgorithm Download. Flowgorithm Documentation. I modelli di programmazione. Appunti (ITA) Il Pensiero Computazionale – Esercizi con Flowgorithm: Esercizi di Problem Solving: Dal problema all’algoritmo: Informatica per iniziare: Dietro il Coding. Flowcharts & Algorithms - vol.

Only one dimensional arrays are supported in the Flowgorithm and
limited to the integer, real (floats), boolean and string types.
However, two dimensional arrays are natively required in many algorithms.
Vectors and matrices are indexed from '1' not from '0' .
This page describes, how two dimensional matrices can be defined, used and printed.
It is recommended to understand how the Flowgorithm source files ( *.fprg files) can be modified directly for additional libraries inclusion.
Please, see EDITING Flowgorithm Files
(unfortunately, a library handling is not available in the current Flowgorithm version, perhaps a specialized tool for *.fprg files will be available)

The Flowgorithm uses indexing from ZERO, i.e. the A[0], .. , A[N-1], which might cause some problems in mathematical formula use.
The following functionality is available (indexing [1.N] is to be used consistently).
In mathematics, usually the first index is ONE, i.e. A[1] in the vector case, resp. A[1,1] in the case of matrices

Declaration (N, M can be integer constants or variables)

Introduction In this article, we will design a Flowgorithm flowchart that converts feet to meters. The flowchart prompts the user to enter the feet to be converted into meters. Meters = Feet.12.2.54/100 Variables The following variables will be used in the flowchart. Declare the variables in the flowchart. Right-click and add the declare symbol. Flowgorithm 任何繪圖軟體都可以創造流程圖，有些軟體可以將流程圖背後的數據模型記錄下來，方便與資料庫、專案管理或電子試算表等軟體協作。不同的軟體如 yEd （英語： yEd ）、 Inkscape 及 Microsoft Office Visio 都可以製作流程圖。.

Flowgorithm Call

one dimensional arrays: A[1:N] - declare A[N] - generates actually a vector
two dimensional arrays: A[1:N,1:M] - declare A[N*M] - generates actually vector for a matrix storing.

Indexing
As the Flowgorithm supports one dimensional arrays indexed from ZERO, each element of two dimensional array has to be re-indexed independently with checking the bounds of a vector or a matrix,
e.g. a mathematical formula k = A[i,j] is to be rewritten as k = A[ Index ( i, j, N, M )] in the case of matrix with integer elements.
All indexing starts from ONE, i.e. [1.N].

Vector and matrix support (indexing from '1')

The following re-indexing functions can be used for matrices; in the case of a vector,
elements can be accessed directly by decreasing index by '1', but without bounds detailed control.
(a vector A has N elements, a matrix A - has N rows, M columns):

The vector case (indexing from '1')

Index1 ( i, N ) - returns integer value of the physical index for the integer vector element A[i] (matrix type independent)

The matrix case [2D arrays] (indexing from '1')

Index ( i, j, N, M ) - returns the integer value of the physical index for the matrix element A[i,j] of the size NxM (matrix type independent)
Index2 ( i, j, N ) - returns the integer value of the physical index for the matrix element A[i,j] of the size NxN (square matrix; matrix type independent)

Printing vectors and matrices with formatting (indexing from '1', resp. '1,1')
The Flowgorithm supports only 'non-formatted' output of one value only. However, formatted output is required in many cases.
Also for matrix output formatting is needed to see columns.
Unfortunately, output natively uses proportional font type on the screen.
However if output is stored, a non-proportional font type, e.g. Consolas in the Notepad, can be used.
For formatted print the following calls can be used:

Print of a value (it is expected, that d <= length of characters printed)

PrintI ( i, d ) - prints integer value on the d positions
PrintR ( r, d1, d2 ) - prints integer value on the d1 positions with d2 decimal points
PrintS ( s, d ) - prints integer value on the d positions
PrintB ( b, d ) - prints integer value on the d positions

Print of a vector Goldeneye setup editor.

PrintVectorI (A, N, d ) - prints integer vector elements on d positions (N rows, M columns)
PrintVectorR (A, N, d1, d2 ) - prints real vector elements on d1 positions with d2 decimals (N rows, M columns)
PrintVectorS (A, N, d ) - prints string vector elements on d positions (N rows, M columns)
PrintVectorB (A, N, d ) - prints boolean vector elements on d positions (N rows, M columns)

Print of a matrix

PrintMatrixI (A, N, M, d ) - prints integer matrix A elements on d positions (N rows, M columns)
PrintMatrixR (A, N, M, d1, d2 ) - prints real matrix A elements on d1 positions with d2 decimals (N rows, M columns)
PrintMatrixS (A, N, M, d ) - prints string matrixA elements on d positions (N rows, M columns)
PrintMatrixB (A, N, M, d ) - prints boolean matrix A elements on d positions (N rows, M columns)

Operations with vectors and matrices

CopyVector (A, B, N) - copy a vector A to vector B of the size N
CopyMatrix (A, B, N, M) - copy a matrix A to matrix B of the size N rows, M columns
Transpose (A, B, N, M) - transpose a matrix A (size N rows, M columns) to a matrix B (size M rows, N columns)
DotProduct (A, B, N) - result is a real value
CrossPruduct (A, B, C, N) - result is a vector C (actually the outer product in the case N>3)
GeometricProduct (A, B, C, D, N) - result is a bi-vector C and a scalar value D

Solution of a linear equations

SolveGaussSeidel (A, x, b, N) - solution of a system of linear equations Ax = b, size of the matrix A is N by N, x is vector of unknowns, b is the right side
(the Gauss elimination method is used)
Solve (A, x, b, N) - solution of a system of linear equations Ax = b, size of the matrix A is N by N, x is vector of unknowns, b is the right side
(the iterative method is used, matrix A must be strictly positive definitive)

Flowgorithm flowchart tool offers three looping constructs for repetitions.

While
For
Do

While Loop construct

To add a while loop to the flow chart, right-click on the flow line >> click on the While loop symbol. While the loop construct is a pre-test loop construct. The tool checks the loop expression before every iteration. While the loop construct is a condition-controlled loop.

Sample Flowchart

Flowgorithm Pi

Let’s print to the console numbers 1 to 10 using the while loop construct.

Flowgorithm If Statements

Declare an Integer variable: number Assign the value 1 to the variable.

Add a While loop.

Click on the while loop and add the loop expression: number < 11 In the loop, we will add two loop statements.

Flowgorithm Online

First loop statement to print the variable : number.

Best setting for csgo. Second loop statement to increment the variable.