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Sin and Cos using CORDIC

Module by: Luis Moreno. E-mail the author

Summary: Calculation of trigonometrical functions sin and cos , using the CORDIC algorithm

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Contents

  • Look up table
  • Variables de Entrada
  • Iteracion Cero
  • n- Iteraciones
  • Valores Obtenidos
  • Referencias

%Calculation of trigonometrical functions cos(theta) and sen(theta)

%by CORDIC algorithm

n=9; %Number of iterations

Look up table

lutai=[45.00000

       26.56505

       14.03624

        7.12501

        3.57633

        1.78991

        0.89517

        0.44761

        0.22381];

Variables de Entrada

xo=.6072;    % coordenada en X=C

yo=0;        % coordenada en Y=0

zo=45; % Ingrese el angulo en grados

ao=sign(zo); %Comprobacion de Signo

Iteracion Cero

x=xo-yo*ao*(2^-(0));

y=yo+xo*ao*(2^-(0));

z=zo-ao*lutai(1); %Carga de primer valor de angulo

zo=z;  %Actualizar zo

xo=x;  %Actualizar xo

yo=y;  %Actualizar yo

if zo>=0  %Comprobacion de signo

    ai=+1;

 else

    ai=-1;

end

n- Iteraciones

    for i=1:n-1

      x=xo-yo*ai*(2^-(i));

      y=yo+xo*ai*(2^-(i));

      z=zo-ai*lutai(i+1);

      if z>=0  %Comprobacion de signo

         ai=+1;

      else

         ai=-1;

      end

      zo=z;      %actualizar zo

      xo=x;      %actualizar xo

      yo=y;      %actualizar yo

    end

Valores Obtenidos

cosine=x % Coseno

seno1=y  % Seno

lightgray

cosine =

 

    0.7093

 

 

seno1 =

 

    0.7047

 

black

Referencias

- Jack E. Volder The CORDIC Trigonometric Computing Technique IRE Transcactions EC-8, 1959, 330-334

- Amaya Ferney*,Velasco Jaime :Diseño de la tangente inversa usando el algoritmo CORDIC

 *Grupo de Automatica y Robotica, GAR, Universidad Javeriana, Cali, Colombia

 E-mail: foamaya@puj.edu.co, jvelasco@univalle.edu.co\end{verbatim}

 

 

 

\end{document}

 

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