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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%% %%%%
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%%%% File : cordic_iterative_test.m %%%%
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%%%% Project : YAC (Yet Another CORDIC Core) %%%%
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%%%% Creation : Feb. 2014 %%%%
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%%%% Limitations : %%%%
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%%%% Platform : Linux, Mac, Windows %%%%
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%%%% Target : Octave, Matlab %%%%
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%%%% %%%%
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%%%% Author(s): : Christian Haettich %%%%
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%%%% Email : feddischson@opencores.org %%%%
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%%%% %%%%
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%%%% %%%%
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%%%%% %%%%%
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%%%% %%%%
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%%%% Description %%%%
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%%%% Script to test/analyze the cordic C implementation %%%%
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%%%% and to generate stimulus data for RTL simulation. %%%%
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%%%% This created data is used to ensure, that the C %%%%
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%%%% implementation behaves the same than the VHDL %%%%
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%%%% implementation. %%%%
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%%%% %%%%
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%%%% Three tests are implemented: %%%%
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%%%% - Random test values %%%%
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%%%% - Linear increasing values %%%%
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%%%% - Limit values %%%%
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%%%% %%%%
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%%%% %%%%
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%%%% Please do 'mex cordic_iterative.c' to create %%%%
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%%%% the cordic_iterative.mex. %%%%
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%%%% %%%%
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%%%%% %%%%%
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%%%% %%%%
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%%%% TODO %%%%
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%%%% The linear test is not complete %%%%
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%%%% %%%%
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%%%% %%%%
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%%%% %%%%
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%%%% %%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%% %%%%
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%%%% Copyright Notice %%%%
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%%%% %%%%
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%%%% This file is part of YAC - Yet Another CORDIC Core %%%%
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%%%% Copyright (c) 2014, Author(s), All rights reserved. %%%%
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%%%% %%%%
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%%%% YAC is free software; you can redistribute it and/or %%%%
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%%%% modify it under the terms of the GNU Lesser General Public %%%%
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%%%% License as published by the Free Software Foundation; either %%%%
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%%%% version 3.0 of the License, or (at your option) any later version. %%%%
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%%%% %%%%
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%%%% YAC is distributed in the hope that it will be useful, %%%%
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%%%% but WITHOUT ANY WARRANTY; without even the implied warranty of %%%%
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%%%% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU %%%%
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%%%% Lesser General Public License for more details. %%%%
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%%%% %%%%
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%%%% You should have received a copy of the GNU Lesser General Public %%%%
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%%%% License along with this library. If not, download it from %%%%
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%%%% http://www.gnu.org/licenses/lgpl %%%%
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%%%% %%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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function cordic_iterative_test( )
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% global flags/values, they are static
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% through the whole script and defined below
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global C_FLAG_VEC_ROT C_FLAG_ATAN_3 C_MODE_CIRC C_MODE_LIN C_MODE_HYP
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global XY_WIDTH ANGLEWIDTH GUARDBITS RM_GAIN
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feddischso |
cordic_iterative_setup
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% open output file
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tb_fid = fopen( TB_FILE, 'w' );
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% Number of tests, which are run
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N_TESTS = 10000;
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%
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% run test, which uses random values
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run_random_test( N_TESTS, tb_fid );
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%
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% run tests, which test limits
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run_limit_test( tb_fid );
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%
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% run linear value test
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run_linear_test( 1000, tb_fid );
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% close file
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if tb_fid > 0
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fclose( tb_fid );
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end
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end
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function run_limit_test( tb_fid )
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%RUN_LIMIT_TEST Test the range limit
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%
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% run_limit_test( fid )
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%
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% This function is used to generate a test pattern
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% with values, which are at the range limit.
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% This values are then processed by the fixed-point YAC
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% implementation. All input and outputs are logged into
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% a testbench pattern file.
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%
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% The argument fid is the file-descriptor of the testbench pattern
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% file.
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%
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data_a = [ 0 1 0 1 -1 0 -1 1 -1 ];
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data_b = [ 0 0 1 1 0 -1 -1 -1 1 ];
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data_c = [ 0 0 0 0 0 0 0 0 0 ...
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1 1 1 1 1 1 1 1 1 ...
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-1 -1 -1 -1 -1 -1 -1 -1 -1 ];
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data_d = data_a * pi;
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data_a_div = [ 0.5 ,1 -0.5, -1, -0.5, -1 ];
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data_b_div = [ 1 ,1, 1, 1, -1, -1 ];
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[ ~, ~, atan_err, abs_err, it_1 ] = ccart2pol( data_a, data_b, tb_fid );
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[ ~, ~, sin_err, cos_err, it_2 ] = cpol2cart( data_d, data_b, tb_fid );
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[ ~, ~, x_err, y_err, it_3 ] = crot( [ data_a, data_a, data_a], ...
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[ data_b, data_b, data_b], ...
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data_c, tb_fid );
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[ ~, div_err, it_4 ] = cdiv( data_a_div, data_b_div, tb_fid );
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[ ~, mul_err, it_5 ] = cmul( data_a, data_b, tb_fid );
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print_result( ...
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atan_err, it_1, ...
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abs_err, it_1, ...
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sin_err, it_2, ...
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cos_err, it_2, ...
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x_err, it_3, ...
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y_err, it_3, ...
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div_err, it_4, ...
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mul_err, it_5, ...
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0, 0, ...
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0, 0, ...
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0, 0, ...
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0, 0, ...
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'Limit Value Test' );
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feddischso |
end
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feddischso |
function run_linear_test( N_TESTS, tb_fid )
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%RUN_LINEAR_TEST Generates a linear test pattern
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%
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% run_linear_test( N, fid )
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%
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% This function is used to generate linear increasing test
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% values.
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% These values are then processed by the fixed-point YAC
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% implementation. All input and outputs are logged into
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% a testbench pattern file. In addition, the result is plotted.
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%
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% NOTE: only the hyperbolic functions are processed at the moment.
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% This function needs to be extended in future.
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%
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%
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% The argument fid is the file-descriptor of the testbench pattern
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% file. The argument N defines the number of values, which are processed.
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%
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%
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feddischso |
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feddischso |
data_a_h = ones( 1, N_TESTS );
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data_b_h = linspace( -1, 1, N_TESTS ) * 0.78;
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data_c_h = linspace( -1, 1, N_TESTS );
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[ atanh_res, sqrt_res, atanh_err, sqrt_err, it_6 ] = catanh( data_a_h, data_b_h, tb_fid );
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[ sinh_res, cosh_res, sinh_err, cosh_err, it_7 ] = csinhcosh( data_c_h, tb_fid );
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figure; plot( data_b_h, atanh_res ); title( 'atanh' );
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figure; plot( data_b_h, atanh_err ); title( 'atanh-error' );
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figure; plot( data_c_h, sinh_res, data_c_h, cosh_res ); title( 'sinh and cosh' );
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figure; plot( data_c_h, sinh_err, data_c_h, cosh_err ); title( 'sinh and cosh errors' );
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feddischso |
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feddischso |
end
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function run_random_test( N_TESTS, tb_fid )
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%RUN_RANDOM_TEST Generates a random test pattern
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%
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% run_random_test( N, fid )
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%
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% This function is used to generate random test
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% values (uniform distributed).
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% These values are then processed by the fixed-point YAC
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% implementation. All input and outputs are logged into
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% a testbench pattern file.
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%
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%
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% The argument fid is the file-descriptor of the testbench pattern
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% file. The argument N defines the number of values, which are processed.
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%
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%
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data_a = -1 + 2 .* rand( 1, N_TESTS );
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data_b = -1 + 2 .* rand( 1, N_TESTS );
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data_c = -1 + 2 .* rand( 1, N_TESTS );
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data_d = -pi + 2*pi .* rand( 1, N_TESTS );
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feddischso |
% adapat data for division
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data_a_div = data_a;
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data_b_div = data_b;
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swap_div = ( data_b ./ data_a ) >= 2 | ( data_b ./ data_a ) < -2 ;
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data_a_div( swap_div ) = data_b( swap_div );
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data_b_div( swap_div ) = data_a( swap_div );
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data_a_h = ones( size( data_a ) );
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data_b_h = data_b .* 0.80694; %0.78;
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[ ~, ~, atan_err, abs_err, it_1 ] = ccart2pol( data_a, data_b, tb_fid );
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[ ~, ~, sin_err, cos_err, it_2 ] = cpol2cart( data_d, data_b, tb_fid );
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[ ~, ~, x_err, y_err, it_3 ] = crot( data_a, data_b, data_c, tb_fid );
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[ ~, div_err, it_4 ] = cdiv( data_a_div, data_b_div, tb_fid );
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[ ~, mul_err, it_5 ] = cmul( data_a, data_b, tb_fid );
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[ ~, ~, atanh_err, sqrt_err, it_6 ] = catanh( data_a_h, data_b_h, tb_fid );
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[ ~, ~, sinh_err, cosh_err, it_7 ] = csinhcosh( data_a, tb_fid );
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print_result_header( 'Random Test Result' );
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print_result2( 'atan', it_1, atan_err, data_a, data_b );
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print_result2( 'abs ', it_1, abs_err, data_a, data_b );
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print_result2( 'sin ', it_2, sin_err, data_a, data_b );
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print_result2( 'cos ', it_2, cos_err, data_a, data_b );
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print_result( atan_err, it_1, ...
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abs_err, it_1, ...
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sin_err, it_2, ...
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cos_err, it_2, ...
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x_err, it_3, ...
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y_err, it_3, ...
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div_err, it_4, ...
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mul_err, it_5, ...
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atanh_err, it_6, ...
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sqrt_err, it_6, ...
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sinh_err, it_7, ...
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cosh_err, it_7, ...
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'Random Value Test' );
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feddischso |
end
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feddischso |
function print_result_header( title )
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printf( ' ___________________________________________________________________\n' );
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fprintf( ' %s\n', title);
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fprintf( ' -----+-------------------+--------------------+-------------------\n' );
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end
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2 |
feddischso |
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7 |
feddischso |
function print_result2( msg, it, err, a, b )
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[ verr, ierr ] = max( err );
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fprintf( '%s | %.14f | (%.14f %.14f) | %.14f | %.5f \n', msg, verr, a( ierr ), b( ierr ), mean( err ), max( it ) )
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end
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function print_result( ...
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2 |
feddischso |
atan_err, atan_it, ...
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abs_err, abs_it, ...
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sin_err, sin_it, ...
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cos_err, cos_it, ...
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x_err, x_it, ...
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y_err, y_it, ...
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div_err, div_it, ...
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mul_err, mul_it, ...
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atanh_err, atanh_it, ...
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sqrt_err, sqrt_it, ...
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sinh_err, sinh_it, ...
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cosh_err, cosh_it, ...
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title )
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fprintf( ' ___________________________________________________________________\n' );
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fprintf( ' %s\n', title);
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fprintf( ' -----+-------------------+--------------------+-------------------\n' );
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fprintf( ' | max error | mean error | max iterations \n' );
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fprintf( ' atan | % .14f | % .14f | %.5f \n', max( atan_err ), mean( atan_err ), max( atan_it ) );
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fprintf( ' abs | % .14f | % .14f | %.5f \n', max( abs_err ), mean( abs_err ), max( abs_it ) );
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fprintf( ' sin | % .14f | % .14f | %.5f \n', max( sin_err ), mean( sin_err ), max( sin_it ) );
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fprintf( ' cos | % .14f | % .14f | %.5f \n', max( cos_err ), mean( cos_err ), max( cos_it ) );
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fprintf( ' x | % .14f | % .14f | %.5f \n', max( x_err ), mean( x_err ), max( x_it ) );
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fprintf( ' y | % .14f | % .14f | %.5f \n', max( y_err ), mean( y_err ), max( y_it ) );
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fprintf( ' div | % .14f | % .14f | %.5f \n', max( div_err ), mean( div_err ), max( div_it ) );
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fprintf( ' mul | % .14f | % .14f | %.5f \n', max( mul_err ), mean( mul_err ), max( mul_it ) );
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fprintf( ' atanh| % .14f | % .14f | %.5f \n', max( atanh_err ), mean( atanh_err ), max( atanh_it ) );
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fprintf( ' sqrt | % .14f | % .14f | %.5f \n', max( sqrt_err ), mean( sqrt_err ), max( sqrt_it ) );
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fprintf( ' sinh | % .14f | % .14f | %.5f \n', max( sinh_err ), mean( sinh_err ), max( sinh_it ) );
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fprintf( ' cosh | % .14f | % .14f | %.5f \n', max( cosh_err ), mean( cosh_err ), max( cosh_it ) );
|
| 304 |
|
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|
| 305 |
|
|
|
| 306 |
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|
|
| 307 |
3 |
feddischso |
end
|
| 308 |
2 |
feddischso |
|
| 309 |
3 |
feddischso |
|
| 310 |
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|
| 311 |
2 |
feddischso |
function [sinh_res, cosh_res, sinh_err, cosh_err, it ]= csinhcosh( th, fid )
|
| 312 |
|
|
global C_FLAG_VEC_ROT C_FLAG_ATAN_3 C_MODE_CIRC C_MODE_LIN C_MODE_HYP
|
| 313 |
|
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global XY_WIDTH ANGLEWIDTH GUARDBITS RM_GAIN
|
| 314 |
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|
| 315 |
|
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xi = repmat( (2^(XY_WIDTH-1)-1), size( th ) );
|
| 316 |
|
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yi = zeros( 1, length( th ) );
|
| 317 |
|
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ai = round( th .* (2^(ANGLEWIDTH-1)-1) );
|
| 318 |
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|
| 319 |
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|
| 320 |
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|
| 321 |
|
|
mode = C_MODE_HYP;
|
| 322 |
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|
| 323 |
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|
| 324 |
|
|
% cordic version
|
| 325 |
|
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[ rcosh rsinh ra, it ] = cordic_iterative( ...
|
| 326 |
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xi, ...
|
| 327 |
|
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yi, ...
|
| 328 |
|
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ai, ...
|
| 329 |
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mode, ...
|
| 330 |
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XY_WIDTH, ...
|
| 331 |
|
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ANGLEWIDTH, ...
|
| 332 |
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GUARDBITS, ...
|
| 333 |
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RM_GAIN );
|
| 334 |
7 |
feddischso |
|
| 335 |
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|
| 336 |
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|
| 337 |
2 |
feddischso |
cosh_res = rcosh ./ ( 2^(XY_WIDTH-1)-1 );
|
| 338 |
|
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sinh_res = rsinh ./ ( 2^(XY_WIDTH-1)-1 );
|
| 339 |
|
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cosh_m = cosh( th );
|
| 340 |
|
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sinh_m = sinh( th );
|
| 341 |
|
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sinh_err = abs(sinh_res - sinh_m );
|
| 342 |
|
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cosh_err = abs(cosh_res - cosh_m );
|
| 343 |
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|
| 344 |
7 |
feddischso |
|
| 345 |
2 |
feddischso |
% write TB data
|
| 346 |
|
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write_tb( fid, xi, yi, ai, rcosh, rsinh, ra, mode );
|
| 347 |
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|
| 348 |
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|
| 349 |
|
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end
|
| 350 |
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|
| 351 |
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|
| 352 |
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|
| 353 |
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|
| 354 |
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|
| 355 |
|
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function [atan_res, abs_res, atan_err, abs_err, it ] = catanh( x, y, fid )
|
| 356 |
|
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global C_FLAG_VEC_ROT C_FLAG_ATAN_3 C_MODE_CIRC C_MODE_LIN C_MODE_HYP
|
| 357 |
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global XY_WIDTH ANGLEWIDTH GUARDBITS RM_GAIN
|
| 358 |
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|
| 359 |
|
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if( size( x ) ~= size( y ) )
|
| 360 |
|
|
error( 'size error' )
|
| 361 |
|
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end
|
| 362 |
|
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ai = zeros( size( x ) );
|
| 363 |
|
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xi = round( x * (2^(XY_WIDTH-1)-1) );
|
| 364 |
|
|
yi = round( y * (2^(XY_WIDTH-1)-1) );
|
| 365 |
|
|
|
| 366 |
|
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|
| 367 |
|
|
mode = C_FLAG_VEC_ROT + C_MODE_HYP;
|
| 368 |
|
|
|
| 369 |
|
|
|
| 370 |
|
|
% cordic version
|
| 371 |
|
|
[ rx, ry, ra, it ] = cordic_iterative( xi, ...
|
| 372 |
|
|
yi, ...
|
| 373 |
|
|
ai, ...
|
| 374 |
|
|
mode, ...
|
| 375 |
|
|
XY_WIDTH, ...
|
| 376 |
|
|
ANGLEWIDTH, ...
|
| 377 |
|
|
GUARDBITS, ...
|
| 378 |
|
|
RM_GAIN );
|
| 379 |
|
|
% matlab version
|
| 380 |
|
|
m_th = atanh( y ./ x );
|
| 381 |
|
|
m_r = sqrt( x.^2 - y.^2 );
|
| 382 |
|
|
|
| 383 |
|
|
% comparison
|
| 384 |
|
|
atan_res = ra ./ 2^( (ANGLEWIDTH)-1);
|
| 385 |
|
|
abs_res = rx ./ ( 2^(XY_WIDTH-1) -1 );
|
| 386 |
|
|
atan_err = abs( m_th - atan_res );
|
| 387 |
|
|
abs_err = abs( m_r - abs_res );
|
| 388 |
7 |
feddischso |
|
| 389 |
2 |
feddischso |
% write TB data
|
| 390 |
|
|
write_tb( fid, xi, yi, ai, rx, ry, ra, mode );
|
| 391 |
|
|
|
| 392 |
|
|
|
| 393 |
|
|
end
|
| 394 |
|
|
|
| 395 |
|
|
|
| 396 |
|
|
|
| 397 |
|
|
|
| 398 |
|
|
|
| 399 |
|
|
function [mul_res, mul_err, it ] = cmul( x, y, fid )
|
| 400 |
|
|
global C_FLAG_VEC_ROT C_FLAG_ATAN_3 C_MODE_CIRC C_MODE_LIN C_MODE_HYP
|
| 401 |
|
|
global XY_WIDTH ANGLEWIDTH GUARDBITS RM_GAIN
|
| 402 |
|
|
|
| 403 |
|
|
if( size( x ) ~= size( y ) )
|
| 404 |
|
|
error( 'size error' )
|
| 405 |
|
|
end
|
| 406 |
|
|
xi = round( x * ( 2^(XY_WIDTH-1) -1 ) );
|
| 407 |
|
|
ai = round( y * ( 2^(XY_WIDTH-1) -1 ) );
|
| 408 |
|
|
yi = zeros( size( x ) );
|
| 409 |
|
|
|
| 410 |
|
|
|
| 411 |
|
|
mode = C_MODE_LIN;
|
| 412 |
|
|
|
| 413 |
|
|
% cordic version
|
| 414 |
|
|
[ rx, rmul, ra, it ] = cordic_iterative( xi, ...
|
| 415 |
|
|
yi, ...
|
| 416 |
|
|
ai, ...
|
| 417 |
|
|
mode, ...
|
| 418 |
|
|
XY_WIDTH, ...
|
| 419 |
|
|
ANGLEWIDTH, ...
|
| 420 |
|
|
GUARDBITS, ...
|
| 421 |
|
|
RM_GAIN );
|
| 422 |
7 |
feddischso |
|
| 423 |
|
|
|
| 424 |
2 |
feddischso |
mul_res = rmul ./ (2^(ANGLEWIDTH-1)-1);
|
| 425 |
|
|
mul_err = abs( y.*x - mul_res );
|
| 426 |
|
|
|
| 427 |
|
|
% write TB data
|
| 428 |
|
|
write_tb( fid, xi, yi, ai, rx, rmul, ra, mode )
|
| 429 |
|
|
|
| 430 |
|
|
|
| 431 |
|
|
end
|
| 432 |
|
|
|
| 433 |
|
|
|
| 434 |
|
|
|
| 435 |
|
|
|
| 436 |
|
|
|
| 437 |
|
|
function [div_res, div_err, it ] = cdiv( x, y, fid )
|
| 438 |
|
|
global C_FLAG_VEC_ROT C_FLAG_ATAN_3 C_MODE_CIRC C_MODE_LIN C_MODE_HYP
|
| 439 |
|
|
global XY_WIDTH ANGLEWIDTH GUARDBITS RM_GAIN
|
| 440 |
|
|
|
| 441 |
|
|
if( size( x ) ~= size( y ) )
|
| 442 |
|
|
error( 'size error' )
|
| 443 |
|
|
end
|
| 444 |
|
|
xi = round( x * ( 2^(XY_WIDTH-1) -1 ) );
|
| 445 |
|
|
yi = round( y * ( 2^(XY_WIDTH-1) -1 ) );
|
| 446 |
|
|
ai = zeros( size( x ) );
|
| 447 |
|
|
|
| 448 |
|
|
|
| 449 |
|
|
mode = C_FLAG_VEC_ROT + C_MODE_LIN;
|
| 450 |
|
|
|
| 451 |
|
|
% cordic version
|
| 452 |
|
|
[ rx, ry, rdiv, it ] = cordic_iterative( xi, ...
|
| 453 |
|
|
yi, ...
|
| 454 |
|
|
ai, ...
|
| 455 |
|
|
mode, ...
|
| 456 |
|
|
XY_WIDTH, ...
|
| 457 |
|
|
ANGLEWIDTH, ...
|
| 458 |
|
|
GUARDBITS, ...
|
| 459 |
|
|
RM_GAIN );
|
| 460 |
7 |
feddischso |
|
| 461 |
|
|
|
| 462 |
2 |
feddischso |
div_res = rdiv ./ (2^(ANGLEWIDTH-1)-1);
|
| 463 |
|
|
div_err = abs( y./x - div_res );
|
| 464 |
|
|
|
| 465 |
|
|
% write TB data
|
| 466 |
|
|
write_tb( fid, xi, yi, ai, rx, ry, rdiv, mode )
|
| 467 |
|
|
|
| 468 |
|
|
end
|
| 469 |
|
|
|
| 470 |
|
|
|
| 471 |
|
|
function [x_res, y_res, x_err, y_err, it ] = crot( x, y, th, fid )
|
| 472 |
|
|
%
|
| 473 |
|
|
% does a multiplication with exp( th * i )
|
| 474 |
|
|
% and therefore, a rotation of the complex input value x + yi where th
|
| 475 |
|
|
% defines the rotation angle
|
| 476 |
|
|
%
|
| 477 |
|
|
global C_FLAG_VEC_ROT C_FLAG_ATAN_3 C_MODE_CIRC C_MODE_LIN C_MODE_HYP
|
| 478 |
|
|
global XY_WIDTH ANGLEWIDTH GUARDBITS RM_GAIN
|
| 479 |
|
|
|
| 480 |
|
|
xi = round( x * ( 2^(XY_WIDTH-1) -1 ) );
|
| 481 |
|
|
yi = round( y * ( 2^(XY_WIDTH-1) -1 ) );
|
| 482 |
|
|
ai = round( th .* (2^(ANGLEWIDTH-1)-1) );
|
| 483 |
|
|
|
| 484 |
|
|
mode = C_MODE_CIRC;
|
| 485 |
|
|
|
| 486 |
|
|
[ rx ry ra, it ] = cordic_iterative( ...
|
| 487 |
|
|
xi, ...
|
| 488 |
|
|
yi, ...
|
| 489 |
|
|
ai, ...
|
| 490 |
|
|
mode, ...
|
| 491 |
|
|
XY_WIDTH, ...
|
| 492 |
|
|
ANGLEWIDTH, ...
|
| 493 |
|
|
GUARDBITS, ...
|
| 494 |
|
|
RM_GAIN );
|
| 495 |
7 |
feddischso |
|
| 496 |
2 |
feddischso |
tmp = ( x + 1i * y ) .* exp( i * th );
|
| 497 |
7 |
feddischso |
|
| 498 |
2 |
feddischso |
x_res = rx ./ ( 2^(XY_WIDTH-1)-1 );
|
| 499 |
|
|
y_res = ry ./ ( 2^(XY_WIDTH-1)-1 );
|
| 500 |
|
|
|
| 501 |
|
|
y_err = abs(x_res - real(tmp) );
|
| 502 |
|
|
x_err = abs(y_res - imag(tmp) );
|
| 503 |
|
|
|
| 504 |
|
|
% write TB data
|
| 505 |
|
|
write_tb( fid, xi, yi, ai, rx, ry, ra, mode )
|
| 506 |
|
|
|
| 507 |
|
|
|
| 508 |
|
|
end
|
| 509 |
|
|
|
| 510 |
|
|
|
| 511 |
|
|
function [sin_res, cos_res, sin_err, cos_err, it ]= cpol2cart( th, r, fid )
|
| 512 |
|
|
%
|
| 513 |
|
|
% does the Matlab equivalent pol2cart
|
| 514 |
|
|
%
|
| 515 |
|
|
|
| 516 |
|
|
global C_FLAG_VEC_ROT C_FLAG_ATAN_3 C_MODE_CIRC C_MODE_LIN C_MODE_HYP
|
| 517 |
|
|
global XY_WIDTH ANGLEWIDTH GUARDBITS RM_GAIN
|
| 518 |
|
|
|
| 519 |
|
|
xi = r .* (2^(XY_WIDTH-1)-1);
|
| 520 |
|
|
yi = zeros( 1, length( th ) );
|
| 521 |
|
|
ai = round( th .* (2^(ANGLEWIDTH-1)-1) );
|
| 522 |
|
|
|
| 523 |
|
|
mode = C_MODE_CIRC;
|
| 524 |
|
|
|
| 525 |
|
|
[ rcos rsin ra, it ] = cordic_iterative( ...
|
| 526 |
|
|
xi, ...
|
| 527 |
|
|
yi, ...
|
| 528 |
|
|
ai, ...
|
| 529 |
|
|
mode, ...
|
| 530 |
|
|
XY_WIDTH, ...
|
| 531 |
|
|
ANGLEWIDTH, ...
|
| 532 |
|
|
GUARDBITS, ...
|
| 533 |
|
|
RM_GAIN );
|
| 534 |
7 |
feddischso |
|
| 535 |
|
|
|
| 536 |
|
|
|
| 537 |
2 |
feddischso |
cos_res = rcos ./ ( 2^(XY_WIDTH-1)-1 );
|
| 538 |
|
|
sin_res = rsin ./ ( 2^(XY_WIDTH-1)-1 );
|
| 539 |
|
|
[ cos_m, sin_m ] = pol2cart( th, r );
|
| 540 |
|
|
sin_err = abs(sin_res - sin_m );
|
| 541 |
|
|
cos_err = abs(cos_res - cos_m );
|
| 542 |
|
|
|
| 543 |
|
|
% write TB data
|
| 544 |
|
|
write_tb( fid, xi, yi, ai, rcos, rsin, ra, mode )
|
| 545 |
|
|
|
| 546 |
|
|
|
| 547 |
|
|
end
|
| 548 |
|
|
|
| 549 |
|
|
|
| 550 |
|
|
|
| 551 |
|
|
|
| 552 |
|
|
|
| 553 |
|
|
function [atan_res, abs_res, atan_err, abs_err, it ] = ccart2pol( x, y, fid )
|
| 554 |
|
|
|
| 555 |
|
|
global C_FLAG_VEC_ROT C_FLAG_ATAN_3 C_MODE_CIRC C_MODE_LIN C_MODE_HYP
|
| 556 |
|
|
global XY_WIDTH ANGLEWIDTH GUARDBITS RM_GAIN
|
| 557 |
|
|
|
| 558 |
|
|
if( size( x ) ~= size( y ) )
|
| 559 |
|
|
error( 'size error' )
|
| 560 |
|
|
end
|
| 561 |
|
|
ai = zeros( size( x ) );
|
| 562 |
|
|
xi = round( x * (2^(XY_WIDTH-1)-1) );
|
| 563 |
|
|
yi = round( y * (2^(XY_WIDTH-1)-1) );
|
| 564 |
|
|
|
| 565 |
|
|
mode = C_FLAG_VEC_ROT + C_MODE_CIRC;
|
| 566 |
|
|
|
| 567 |
|
|
|
| 568 |
|
|
% cordic version
|
| 569 |
|
|
[ rx, ry, ra, it ] = cordic_iterative( xi, ...
|
| 570 |
|
|
yi, ...
|
| 571 |
|
|
ai, ...
|
| 572 |
|
|
mode, ...
|
| 573 |
|
|
XY_WIDTH, ...
|
| 574 |
|
|
ANGLEWIDTH, ...
|
| 575 |
|
|
GUARDBITS, ...
|
| 576 |
|
|
RM_GAIN );
|
| 577 |
|
|
% matlab version:
|
| 578 |
|
|
m_th = atan2( y, x );
|
| 579 |
|
|
m_r = sqrt( x.^2 + y.^2 );
|
| 580 |
|
|
|
| 581 |
|
|
|
| 582 |
|
|
% comparison
|
| 583 |
|
|
atan_res = ra ./ 2^( (ANGLEWIDTH)-1);
|
| 584 |
|
|
abs_res = rx ./ ( 2^(XY_WIDTH-1) -1 );
|
| 585 |
|
|
atan_err = abs( m_th - atan_res );
|
| 586 |
|
|
abs_err = abs( m_r - abs_res );
|
| 587 |
|
|
|
| 588 |
|
|
% TODO: ATAN oder ATAN2 atan( 0 / x ) != atan2( 0, x )!!!!
|
| 589 |
|
|
|
| 590 |
|
|
% write TB data
|
| 591 |
|
|
write_tb( fid, xi, yi, ai, rx, ry, ra, mode )
|
| 592 |
|
|
|
| 593 |
|
|
end
|
| 594 |
|
|
|
| 595 |
|
|
|
| 596 |
|
|
|
| 597 |
|
|
|
| 598 |
|
|
|
