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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
• 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];

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

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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 :DiseÃ±o 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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