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‎Matlab/cordicdivide.m

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function result = cordicdivide(y, x)
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% Calculation Cordic Division (y/x) Using Fixed-Point Simulation
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%
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% param y: inputted number
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% type y: (floating / fixed) point
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% param x: inputted number
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% type x: (floating / fixed) point
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% return result: fixed point cordic tanh of x
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IS_SIGNED = 1;
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WORD_L = 32;
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FLOAT_L = 24;
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MAX_ITER = FLOAT_L + 1;
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I = 0:MAX_ITER;
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pow2_LOOKUP = fi(2.^(-I), IS_SIGNED, WORD_L, FLOAT_L);
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x = fi(x, IS_SIGNED, WORD_L, FLOAT_L);
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y = fi(y, IS_SIGNED, WORD_L, FLOAT_L);
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% Calculating z = y/x
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z = fi(0, IS_SIGNED, WORD_L, FLOAT_L);
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for i = 1:MAX_ITER
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% disp(['X:', hex(x), ' Y:', hex(y), ' Z:', hex(z), ' i=', int2str(i)]);
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d_i = -sign(y);
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y = fi(y + d_i * bitshift(x, -(i-1)), IS_SIGNED, WORD_L, FLOAT_L);
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z = fi(z - d_i * pow2_LOOKUP(i), IS_SIGNED, WORD_L, FLOAT_L);
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% disp(bin(pow2_LOOKUP(i)));
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end
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result = z;
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end

‎Matlab/cordictanh.m

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function result = cordictanh(z)
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% Calculation Cordic Tanh Using Fixed-Point Simulation
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%
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% param z: inputted number
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% type z: (floating / fixed) point
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% return result: fixed point cordic tanh of z
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IS_SIGNED = 1;
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WORD_L = 32;
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FLOAT_L = 24;
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% Calculating sinh and cosh
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% x_n = A_n(x_0 * cosh(z_0) + y_0 * sinh(z_0))
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% y_n = A_n(y_0 * cosh(z_0) + x_0 * sinh(z_0))
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y = fi(0, IS_SIGNED, WORD_L, FLOAT_L);
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x = fi(1, IS_SIGNED, WORD_L, FLOAT_L);
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z = fi(z, IS_SIGNED, WORD_L, FLOAT_L);
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% x_n = A_n(x_0 * cosh(z_0))
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% y_n = A_n(x_0 * sinh(z_0))
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% [tanh = y_n / x_n]
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% for i <= 0:
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M = 3;
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I = -M:0;
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atanh_LOOKUP = fi(atanh(1 - 2.^(I-2)), IS_SIGNED, WORD_L, FLOAT_L);
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hex(atanh_LOOKUP)
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for i = I
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% disp(['X:', hex(x), ' Y:', hex(y), ' Z:', hex(z), ' i=', int2str(i)]);
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if abs(z) == fi(0, 1, WORD_L, FLOAT_L)
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break
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end
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d_i = fi(sign(z), IS_SIGNED, WORD_L, FLOAT_L);
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x_old = x;
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y_old = y;
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x = fi(x_old + d_i * y_old - d_i * bitshift(y_old, i - 2), ...
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IS_SIGNED, WORD_L, FLOAT_L);
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y = fi(y_old + d_i * x_old - d_i * bitshift(x_old, i - 2), ...
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IS_SIGNED, WORD_L, FLOAT_L);
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z = fi(z - d_i * atanh_LOOKUP(M + i + 1), ...
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IS_SIGNED, WORD_L, FLOAT_L);
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end
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% for i > 0:
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N = 13;
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I = 1:N;
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atanh_LOOKUP = fi(atanh(2.^(-I)), IS_SIGNED, WORD_L, FLOAT_L);
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hex(atanh_LOOKUP)
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for i = I
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if abs(z) == fi(0, 1, WORD_L, FLOAT_L)
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break
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end
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% disp(['X:', hex(x), ' Y:', hex(y), ' Z:', hex(z), ' i=', int2str(i)]);
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d_i = fi(sign(z), IS_SIGNED, WORD_L, FLOAT_L);
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x_old = fi(x, IS_SIGNED, WORD_L, FLOAT_L);
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y_old = fi(y, IS_SIGNED, WORD_L, FLOAT_L);
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x = fi(x_old + d_i * bitshift(y_old, -i), IS_SIGNED, WORD_L, FLOAT_L);
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y = fi(y_old + d_i * bitshift(x_old, -i), IS_SIGNED, WORD_L, FLOAT_L);
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z = fi(z - d_i * atanh_LOOKUP(i), IS_SIGNED, WORD_L, FLOAT_L);
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if i == 13 || i == 4 % Repeat Condition (3k + 1)
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% disp(['X:', hex(x), ' Y:', hex(y), ' Z:', hex(z), ' i=', int2str(i)]);
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x_old = fi(x, IS_SIGNED, WORD_L, FLOAT_L);
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y_old = fi(y, IS_SIGNED, WORD_L, FLOAT_L);
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d_i = fi(sign(z), IS_SIGNED, WORD_L, FLOAT_L);
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x = fi(x_old + d_i * bitshift(y_old, -i), IS_SIGNED, WORD_L, FLOAT_L);
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y = fi(y_old + d_i * bitshift(x_old, -i), IS_SIGNED, WORD_L, FLOAT_L);
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z = fi(z - d_i * atanh_LOOKUP(i), IS_SIGNED, WORD_L, FLOAT_L);
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end
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end
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% disp(['X:', hex(x), ' Y:', hex(y), ' Z:', hex(z), ' i=', int2str(i)]);
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% display('CORDID_DIV:');
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result = cordicdivide(y, x);
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end

‎Matlab/input_b.txt

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