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News
07.11.2008
The first commercial release of the language of mathematical calculations MatBasic v.1.2

06.11.2007
Release of a new version of mathematical programming environment MatBasic v.1.1

26.08.2007
MatBasic mathematical programming environment beta-version release.

09.06.2007
First official build of CSC-Model module of Visual CSC system for calculating steady and emergency regimes.

12.09.2006
The beginning of development of a logic designing system Visual Logic.

04.08.2006
First release of a universal schematic editor Visual CSC.

    MatBasic

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    Examples of MatBasic calculation system application

    MatBasic environment can be used for calculations of a wide range of complexity – from school-level sums to sophisticated science problems solution. This part contains several examples of the environment application.

  1. Example: School-level sum "Snowflake"
  2. Program module of checking an algorithmic metering entry to a set polygonal area
  3. Program module of a frequency determination sensor
  4. Simulation model of a synchronous generator

    Task: To make up a program drawing a snowflake. Following values are given by user: number of units, branches, coefficient of every branch unit decrease.

    Algorithm:

  • Verify the necessary parameters, declare them: N – number of units, P – number of branches, L – length of the inner unit branch, K - coefficient of every unit decrease.
  • Place a snowflake center in the origin of coordinates.
  • Start drawing from the center of the snowflake: drawing a first interval (of L length), then if it’s not the last unit draw the next unit interval (of length L/K) and continue till drawing of the last unit interval (L/Kn-1) is finished.
  • Draw the smallest snowflake at the last unit.
  • Return to the next to last interval and draw the smallest snowflake unit.
  • Continue these actions till the whole snowflake is drawn. This drawing logic is easily realized by recursion.

    Listing of a branch drawing recursive function:

% fi - turn angle, depends on P
% Zc – complex point, containing "parrent"-interval end coordinates
% drawn in function branches
function branch(Zc,K,P,N)
  global fi;
  z[1]=Zc[2];
  z[2]=zz=(abs(Zc[2]-Zc[1])/K)*exp(1i*
    (angle(real(Zc[2]-Zc[1]),imag(Zc[2]-Zc[1]))-PI));
  if (N > 1)
    for (n=1:P)
      zz*=fi;
      z[2]=zz+Zc[2];
      plot2d #SNOWFLAKE (real(z),imag(z));
      branch(z,K,P,N-1);
    end
  end
end

    Input data is declared in the very beginning of a program text file:

P=6;
K=4;
N=3;
L=10;
global fi;
fi=exp(1i*2*PI/P);

    The fi variable is declared global as far as it is used both in the function and in the main program body. The program listing is following:

z[1]=0;
z[2]=L*1i;
posplot 1,1;
hldplot on; % Use this for quick output
for (k=1:P)
  plot2d #SNOWFLAKE (real(z),imag(z),axisstyle="boxed",axis="equal");
  branch(z,K,P,N);
  z[2]*=fi;
end

    Setting different values of P, K, N and L variables gives us different snowflake looks at the output (graphical console). For example, values mentioned above will give us a snowflake shown at the left and values P=6, K=3, N=5, L=10 give us a snowflake shown at the right.

A snowflake with a triple nesting of branches (click to view the original size) A snowflake with a fivefold nesting of branches (click to view the original size)

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