Add wasm tacle-bench targets
This commit is contained in:
26
targets/wasm-tacle/kernel/fft/CMakeLists.txt
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26
targets/wasm-tacle/kernel/fft/CMakeLists.txt
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# ~~~
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# SPDX-License-Identifier: MIT
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# SPDX-FileCopyrightText: 2026, Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU)
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# ~~~
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cmake_minimum_required(VERSION 3.20)
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project(fft)
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set(TACLEBENCH_ROOT_PATH "${CMAKE_CURRENT_LIST_DIR}/../../..")
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set(REPOSITORY_ROOT_PATH "${CMAKE_CURRENT_LIST_DIR}/../../../..")
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set(APP_TARGET_NAME "${CMAKE_PROJECT_NAME}")
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if(DEFINED TACLEBENCH_VARIANT AND "${TACLEBENCH_VARIANT}" STREQUAL "inline")
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set(APP_SOURCE_FILE_PATH
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"generated/modified_sources/inline/fft.c")
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else()
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set(APP_SOURCE_FILE_PATH
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"generated/modified_sources/default/fft.c"
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"generated/modified_sources/default/fft_input.c")
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endif()
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include(${REPOSITORY_ROOT_PATH}/cmake/taclebench_wasm.cmake)
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35
targets/wasm-tacle/kernel/fft/ChangeLog.txt
Executable file
35
targets/wasm-tacle/kernel/fft/ChangeLog.txt
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File: fft.c
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Original provenience: DSP-Stone
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2016-01-05:
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- Rename fft_1024_13 to fft
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- Add generic TACLeBench header
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- Remove original header from DSP-Stone group
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- Remove duplicate semicolon in bit_reduct
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- Introduce fft_init (initialization of input)
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and fft_main (main entry point)
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- Update comments about separate input-data file
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- Add entry-point annotation to fft_main
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- Introduce non-zero return value and make input_data global to reduce impact of
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compiler optimizations
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- Prefix the functions pin_down, float2frac, convert, exp2f and the global
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variables input_data, inputfract, input, twidtable with fft_
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2016-03-02:
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- Fix undefined behavior due to unsequenced modification and access
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- Reformat large arrays using clang-format to 80 columns
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- Apply code formatting with astyle as in the example
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2016-04-25:
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- Remove unnecessary braces in fft_bit_reduct
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- Add void parameter to fft_float2fract
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- Add all forward declarations
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- Move input data into separate file
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- Compute check sum and compare it to expected value in return function
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2016-04-26:
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- Remove unnecessary braces in fft_pin_down
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- Avoid constant propagation through addition with volatile variable
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on each element of fft_input_data, fft_twidtable, and fft_input
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- Reorganize functions into logical segments in main source file
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- Replace usage of macros by their expanded values:
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STORAGE_CLASS => register, TYPE => int
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2017-07-10:
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- Fix loop bounds to avoid buffer overflow.
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333
targets/wasm-tacle/kernel/fft/fft.c
Executable file
333
targets/wasm-tacle/kernel/fft/fft.c
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/*
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This program is part of the TACLeBench benchmark suite.
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Version V 2.0
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Name: fft
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Author: Juan Martinez Velarde
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Function: benchmarking of an integer stage scaling FFT
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To avoid errors caused by overflow and bit growth,
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the input data is scaled. Bit growth occurs potentially
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at butterfly operations, which involve a complex
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multiplication, a complex addition and a complex
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subtraction. Maximal bit growth from butterfly input
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to butterfly output is two bits.
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The input data includes enough extra sign bits, called
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guard bits, to ensure that bit growth never results in
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overflow (Rabiner and Gold, 1975). Data can grow by a
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maximum factor of 2.4 from butterfly input to output
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(two bits of grow). However, a data value cannot grow by
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maximum amount in two consecutive stages.
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The number of guard bits necessary to compensate the
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maximum bit growth in an N-point FFT is (log_2 (N))+1).
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In a 16-point FFT (requires 4 stages), each of the
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input samples should contain 5 guard bits. The input
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data is then restricted to 10 bits, one sign bit and
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nine magnitude bits, in order to prevent an
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overflow from the integer multiplication with the
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precalculed twiddle coefficients.
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Another method to compensate bit growth is to scale the
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outputs down by a factor of two unconditionally after
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each stage. This approach is called unconditional scaling
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Initially, 2 guard bits are included in the input data to
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accomodate the maximum overflow in the first stage.
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In each butterfly of a stage calculation, the data can
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grow into the guard bits. To prevent overflow in the next
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stage, the guard bits are replaced before the next stage is
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executed by shifting the entire block of data one bit
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to the right.
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Input data should not be restricted to a 1.9 format.
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Input data can be represented in a 1.13 format,that is
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14 significant bits, one sign and 13 magnitude bits. In
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the FFT calculation, the data loses a total of (log2 N) -1
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bits because of shifting. Unconditional scaling results
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in the same number of bits lost as in the input data scaling.
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However, it produces more precise results because the
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FFT starts with more precise input data. The tradeoff is
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a slower FFT calculation because of the extra cycles needed
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to shift the output of each stage.
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Source: DSP-Stone
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http://www.ice.rwth-aachen.de/research/tools-projects/entry/detail/dspstone/
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Original name: fft_1024_13
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(merged main1024_bit_reduct and fft_bit_reduct from DSP-Stone)
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Changes: no major functional changes
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License: may be used, modified, and re-distributed freely
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*/
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#define N_FFT 1024
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#define NUMBER_OF_BITS 13 /* fract format 1.NUMBER_OF_BITS = 1.13 */
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#define BITS_PER_TWID 13 /* bits per twiddle coefficient */
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#define SHIFT BITS_PER_TWID /* fractional shift after each multiplication */
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/*
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Forward declaration of functions
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*/
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float fft_exp2f( float x );
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float fft_modff( float x, float *intpart );
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int fft_convert( float value );
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void fft_bit_reduct( register int *int_pointer );
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void fft_pin_down( int input_data[ ] );
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void fft_init( void );
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void fft_main( void );
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int fft_return( void );
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int main( void );
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/*
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Forward declaration of global variables
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*/
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int fft_input_data[ 2 * N_FFT ];
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/* precalculated twiddle factors
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for an integer 1024 point FFT
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in format 1.13 => table twidtable[ 2*(N_FFT-1) ] ; */
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extern int fft_twidtable[ 2046 ];
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/* 1024 real values as input data in float format */
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extern float fft_input[ 1024 ];
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/* will hold the transformed data */
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int fft_inputfract[ N_FFT ];
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/*
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Algorithm core function
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*/
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void fft_bit_reduct( register int *int_pointer )
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{
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register int i, j = 0 ;
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register int tmpr, max = 2, m, n = N_FFT << 1 ;
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/* do the bit reversal scramble of the input data */
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_Pragma( "loopbound min 1024 max 1024" )
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for ( i = 0; i < ( n - 1 ) ; i += 2 ) {
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if ( j > i ) {
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tmpr = *( int_pointer + j ) ;
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*( int_pointer + j ) = *( int_pointer + i ) ;
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*( int_pointer + i ) = tmpr ;
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tmpr = *( int_pointer + j + 1 ) ;
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*( int_pointer + j + 1 ) = *( int_pointer + i + 1 ) ;
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*( int_pointer + i + 1 ) = tmpr ;
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}
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m = N_FFT;
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_Pragma( "loopbound min 0 max 10" )
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while ( m >= 2 && j >= m ) {
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j -= m ;
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m >>= 1;
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}
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j += m ;
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}
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{
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register int *data_pointer = &fft_twidtable[ 0 ] ;
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register int *p, *q ;
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register int tmpi, fr = 0, level, k, l ;
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_Pragma( "loopbound min 10 max 10" )
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while ( n > max ) {
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level = max << 1;
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_Pragma( "loopbound min 1 max 512" )
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for ( m = 1; m < max; m += 2 ) {
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l = *( data_pointer + fr );
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k = *( data_pointer + fr + 1 ) ;
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fr += 2 ;
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_Pragma( "loopbound min 1 max 512" )
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for ( i = m; i <= n; i += level ) {
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j = i + max;
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p = int_pointer + j;
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q = int_pointer + i;
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tmpr = l * *( p - 1 );
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tmpr -= ( k * *p );
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tmpi = l * *p;
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tmpi += ( k * *( p - 1 ) );
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tmpr = tmpr >> SHIFT ;
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tmpi = tmpi >> SHIFT ;
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*( p - 1 ) = *( q - 1 ) - tmpr ;
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*p = *q - tmpi ;
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*( q - 1 ) += tmpr ;
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*q += tmpi ;
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}
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}
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/* implement unconditional bit reduction */
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{
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register int f;
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p = int_pointer;
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_Pragma( "loopbound min 2048 max 2048" )
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for ( f = 0 ; f < 2 * N_FFT; f++ ) {
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*p = *p >> 1;
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p++;
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}
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}
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max = level;
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}
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}
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}
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/*
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Initialization- and return-value-related functions
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*/
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/* conversion function to 1.NUMBER_OF_BITS format */
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float fft_exp2f( float x )
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{
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int i;
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float ret = 2.0f;
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_Pragma( "loopbound min 13 max 13" )
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for ( i = 1; i < x; ++i )
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ret *= 2.0f;
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return ret;
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}
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float fft_modff( float x, float *intpart )
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{
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if ( intpart ) {
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*intpart = ( int )x;
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return x - *intpart;
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} else
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return x;
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}
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/* conversion function to 1.NUMBER_OF_BITS format */
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int fft_convert( float value )
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{
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float man, t_val, frac, m, exponent = NUMBER_OF_BITS;
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int rnd_val;
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unsigned long int_val;
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unsigned long pm_val;
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m = fft_exp2f( exponent + 1 ) - 1;
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t_val = value * m ;
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frac = fft_modff( t_val, &man );
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if ( frac < 0.0f ) {
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rnd_val = ( -1 );
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if ( frac > -0.5f ) rnd_val = 0;
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} else {
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rnd_val = 1;
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if ( frac < 0.5f ) rnd_val = 0;
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}
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int_val = (long)man + (long)rnd_val;
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pm_val = int_val ;
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return ( ( int ) ( pm_val ) ) ;
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}
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void fft_float2fract( void )
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{
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float f ;
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int j, i ;
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_Pragma( "loopbound min 1024 max 1024" )
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for ( j = 0 ; j < N_FFT ; j++ ) {
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f = fft_input[ j ];
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i = fft_convert( f );
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fft_inputfract[ j ] = i;
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}
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}
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void fft_pin_down( int input_data[ ] )
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{
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/* conversion from input to a 1.13 format */
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fft_float2fract() ;
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int *pd, *ps, f;
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pd = &input_data[ 0 ];
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ps = &fft_inputfract[ 0 ];
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_Pragma( "loopbound min 1024 max 1024" )
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for ( f = 0; f < N_FFT; f++ ) {
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*pd++ = *ps++ ; /* fill in with real data */
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*pd++ = 0 ; /* imaginary data is equal zero */
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}
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}
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void fft_init( void )
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{
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int i;
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volatile int x = 0;
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fft_pin_down( &fft_input_data[ 0 ] );
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/* avoid constant propagation of input values */
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_Pragma( "loopbound min 2046 max 2046" )
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for ( i = 0; i < 2 * ( N_FFT - 1 ); i++ ) {
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fft_input_data[ i ] += x;
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fft_twidtable[ i ] += x;
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}
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_Pragma( "loopbound min 2 max 2" )
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for ( ; i < 2 * N_FFT; i++ )
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fft_input_data[ i ] += x;
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}
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int fft_return( void )
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{
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int check_sum = 0;
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int i = 0;
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_Pragma( "loopbound min 2048 max 2048" )
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for ( i = 0; i < 2 * N_FFT; ++i )
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check_sum += fft_input_data[ i ];
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return check_sum != 3968;
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}
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/*
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Main functions
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*/
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void _Pragma( "entrypoint" ) fft_main( void )
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{
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fft_bit_reduct( &fft_input_data[ 0 ] );
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}
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int main( void )
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{
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fft_init();
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fft_main();
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return fft_return();
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}
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322
targets/wasm-tacle/kernel/fft/fft_input.c
Executable file
322
targets/wasm-tacle/kernel/fft/fft_input.c
Executable file
@ -0,0 +1,322 @@
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int fft_twidtable[ 2046 ] = {
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8192, 0, 8192, 0, 0, -8192, 8192, 0, 5792, -5792, 0,
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-8191, -5792, -5792, 8192, 0, 7568, -3134, 5792, -5792, 3134, -7568,
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0, -8192, -3134, -7568, -5792, -5792, -7568, -3134, 8192, 0, 8034,
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-1598, 7568, -3134, 6811, -4551, 5792, -5792, 4551, -6811, 3134, -7568,
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1598, -8034, 0, -8192, -1598, -8034, -3134, -7568, -4551, -6811, -5792,
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-5792, -6811, -4551, -7568, -3134, -8034, -1598, 8192, 0, 8152, -802,
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8034, -1598, 7839, -2378, 7568, -3134, 7224, -3861, 6811, -4551, 6332,
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-5196, 5792, -5792, 5196, -6332, 4551, -6811, 3861, -7224, 3134, -7568,
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2378, -7839, 1598, -8034, 802, -8152, 0, -8191, -802, -8152, -1598,
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-8034, -2378, -7839, -3134, -7568, -3861, -7224, -4551, -6811, -5196, -6332,
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-5792, -5792, -6332, -5196, -6811, -4551, -7224, -3861, -7568, -3134, -7839,
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||||
-2378, -8034, -1598, -8152, -802, 8192, 0, 8182, -401, 8152, -802,
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8103, -1202, 8034, -1598, 7946, -1990, 7839, -2378, 7713, -2759, 7568,
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||||
-3134, 7405, -3502, 7224, -3861, 7026, -4211, 6811, -4551, 6579, -4879,
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6332, -5196, 6069, -5501, 5792, -5792, 5501, -6069, 5196, -6332, 4879,
|
||||
-6579, 4551, -6811, 4211, -7026, 3861, -7224, 3502, -7405, 3134, -7568,
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2759, -7713, 2378, -7839, 1990, -7946, 1598, -8034, 1202, -8103, 802,
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-8152, 401, -8182, 0, -8192, -401, -8182, -802, -8152, -1202, -8103,
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-1598, -8034, -1990, -7946, -2378, -7839, -2759, -7713, -3134, -7568, -3502,
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-7405, -3861, -7224, -4211, -7026, -4551, -6811, -4879, -6579, -5196, -6332,
|
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-5501, -6069, -5792, -5792, -6069, -5501, -6332, -5196, -6579, -4879, -6811,
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-4551, -7026, -4211, -7224, -3861, -7405, -3502, -7568, -3134, -7713, -2759,
|
||||
-7839, -2378, -7946, -1990, -8034, -1598, -8103, -1202, -8152, -802, -8182,
|
||||
-401, 8192, 0, 8189, -201, 8182, -401, 8169, -602, 8152, -802,
|
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8130, -1002, 8103, -1202, 8071, -1400, 8034, -1598, 7992, -1794, 7946,
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-1990, 7895, -2184, 7839, -2378, 7778, -2569, 7713, -2759, 7643, -2948,
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7568, -3134, 7489, -3319, 7405, -3502, 7317, -3683, 7224, -3861, 7127,
|
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-4037, 7026, -4211, 6921, -4382, 6811, -4551, 6697, -4717, 6579, -4879,
|
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6458, -5039, 6332, -5196, 6203, -5350, 6069, -5501, 5933, -5648, 5792,
|
||||
-5792, 5648, -5933, 5501, -6069, 5350, -6203, 5196, -6332, 5039, -6458,
|
||||
4879, -6579, 4717, -6697, 4551, -6811, 4382, -6921, 4211, -7026, 4037,
|
||||
-7127, 3861, -7224, 3683, -7317, 3502, -7405, 3319, -7489, 3134, -7568,
|
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2948, -7643, 2759, -7713, 2569, -7778, 2378, -7839, 2184, -7895, 1990,
|
||||
-7946, 1794, -7992, 1598, -8034, 1400, -8071, 1202, -8103, 1002, -8130,
|
||||
802, -8152, 602, -8169, 401, -8182, 201, -8189, 0, -8192, -201,
|
||||
-8189, -401, -8182, -602, -8169, -802, -8152, -1002, -8130, -1202, -8103,
|
||||
-1400, -8071, -1598, -8034, -1794, -7992, -1990, -7946, -2184, -7895, -2378,
|
||||
-7839, -2569, -7778, -2759, -7713, -2948, -7643, -3134, -7568, -3319, -7489,
|
||||
-3502, -7405, -3683, -7317, -3861, -7224, -4037, -7127, -4211, -7026, -4382,
|
||||
-6921, -4551, -6811, -4717, -6697, -4879, -6579, -5039, -6458, -5196, -6332,
|
||||
-5350, -6203, -5501, -6069, -5648, -5933, -5792, -5792, -5933, -5648, -6069,
|
||||
-5501, -6203, -5350, -6332, -5196, -6458, -5039, -6579, -4879, -6697, -4717,
|
||||
-6811, -4551, -6921, -4382, -7026, -4211, -7127, -4037, -7224, -3861, -7317,
|
||||
-3683, -7405, -3502, -7489, -3319, -7568, -3134, -7643, -2948, -7713, -2759,
|
||||
-7778, -2569, -7839, -2378, -7895, -2184, -7946, -1990, -7992, -1794, -8034,
|
||||
-1598, -8071, -1400, -8103, -1202, -8130, -1002, -8152, -802, -8169, -602,
|
||||
-8182, -401, -8189, -201, 8192, 0, 8191, -100, 8189, -201, 8186,
|
||||
-301, 8182, -401, 8176, -502, 8169, -602, 8161, -702, 8152, -802,
|
||||
8142, -902, 8130, -1002, 8117, -1102, 8103, -1202, 8087, -1301, 8071,
|
||||
-1400, 8053, -1499, 8034, -1598, 8014, -1696, 7992, -1794, 7970, -1892,
|
||||
7946, -1990, 7921, -2087, 7895, -2184, 7867, -2281, 7839, -2378, 7809,
|
||||
-2474, 7778, -2569, 7746, -2664, 7713, -2759, 7678, -2854, 7643, -2948,
|
||||
7606, -3041, 7568, -3134, 7529, -3227, 7489, -3319, 7447, -3411, 7405,
|
||||
-3502, 7361, -3593, 7317, -3683, 7271, -3772, 7224, -3861, 7176, -3950,
|
||||
7127, -4037, 7077, -4124, 7026, -4211, 6974, -4297, 6921, -4382, 6866,
|
||||
-4467, 6811, -4551, 6755, -4634, 6697, -4717, 6639, -4798, 6579, -4879,
|
||||
6519, -4960, 6458, -5039, 6395, -5118, 6332, -5196, 6268, -5274, 6203,
|
||||
-5350, 6136, -5426, 6069, -5501, 6001, -5575, 5933, -5648, 5863, -5721,
|
||||
5792, -5792, 5721, -5863, 5648, -5933, 5575, -6001, 5501, -6069, 5426,
|
||||
-6136, 5350, -6203, 5274, -6268, 5196, -6332, 5118, -6395, 5039, -6458,
|
||||
4960, -6519, 4879, -6579, 4798, -6639, 4717, -6697, 4634, -6755, 4551,
|
||||
-6811, 4467, -6866, 4382, -6921, 4297, -6974, 4211, -7026, 4124, -7077,
|
||||
4037, -7127, 3950, -7176, 3861, -7224, 3772, -7271, 3683, -7317, 3593,
|
||||
-7361, 3502, -7405, 3411, -7447, 3319, -7489, 3227, -7529, 3134, -7568,
|
||||
3041, -7606, 2948, -7643, 2854, -7678, 2759, -7713, 2664, -7746, 2569,
|
||||
-7778, 2474, -7809, 2378, -7839, 2281, -7867, 2184, -7895, 2087, -7921,
|
||||
1990, -7946, 1892, -7970, 1794, -7992, 1696, -8014, 1598, -8034, 1499,
|
||||
-8053, 1400, -8071, 1301, -8087, 1202, -8103, 1102, -8117, 1002, -8130,
|
||||
902, -8142, 802, -8152, 702, -8161, 602, -8169, 502, -8176, 401,
|
||||
-8182, 301, -8186, 201, -8189, 100, -8191, 0, -8192, -100, -8191,
|
||||
-201, -8189, -301, -8186, -401, -8182, -502, -8176, -602, -8169, -702,
|
||||
-8161, -802, -8152, -902, -8142, -1002, -8130, -1102, -8117, -1202, -8103,
|
||||
-1301, -8087, -1400, -8071, -1499, -8053, -1598, -8034, -1696, -8014, -1794,
|
||||
-7992, -1892, -7970, -1990, -7946, -2087, -7921, -2184, -7895, -2281, -7867,
|
||||
-2378, -7839, -2474, -7809, -2569, -7778, -2664, -7746, -2759, -7713, -2854,
|
||||
-7678, -2948, -7643, -3041, -7606, -3134, -7568, -3227, -7529, -3319, -7489,
|
||||
-3411, -7447, -3502, -7405, -3593, -7361, -3683, -7317, -3772, -7271, -3861,
|
||||
-7224, -3950, -7176, -4037, -7127, -4124, -7077, -4211, -7026, -4297, -6974,
|
||||
-4382, -6921, -4467, -6866, -4551, -6811, -4634, -6755, -4717, -6697, -4798,
|
||||
-6639, -4879, -6579, -4960, -6519, -5039, -6458, -5118, -6395, -5196, -6332,
|
||||
-5274, -6268, -5350, -6203, -5426, -6136, -5501, -6069, -5575, -6001, -5648,
|
||||
-5933, -5721, -5863, -5792, -5792, -5863, -5721, -5933, -5648, -6001, -5575,
|
||||
-6069, -5501, -6136, -5426, -6203, -5350, -6268, -5274, -6332, -5196, -6395,
|
||||
-5118, -6458, -5039, -6519, -4960, -6579, -4879, -6639, -4798, -6697, -4717,
|
||||
-6755, -4634, -6811, -4551, -6866, -4467, -6921, -4382, -6974, -4297, -7026,
|
||||
-4211, -7077, -4124, -7127, -4037, -7176, -3950, -7224, -3861, -7271, -3772,
|
||||
-7317, -3683, -7361, -3593, -7405, -3502, -7447, -3411, -7489, -3319, -7529,
|
||||
-3227, -7568, -3134, -7606, -3041, -7643, -2948, -7678, -2854, -7713, -2759,
|
||||
-7746, -2664, -7778, -2569, -7809, -2474, -7839, -2378, -7867, -2281, -7895,
|
||||
-2184, -7921, -2087, -7946, -1990, -7970, -1892, -7992, -1794, -8014, -1696,
|
||||
-8034, -1598, -8053, -1499, -8071, -1400, -8087, -1301, -8103, -1202, -8117,
|
||||
-1102, -8130, -1002, -8142, -902, -8152, -802, -8161, -702, -8169, -602,
|
||||
-8176, -502, -8182, -401, -8186, -301, -8189, -201, -8191, -100, 8192,
|
||||
0, 8191, -50, 8191, -100, 8190, -150, 8189, -201, 8188, -251,
|
||||
8186, -301, 8184, -351, 8182, -401, 8179, -452, 8176, -502, 8173,
|
||||
-552, 8169, -602, 8165, -652, 8161, -702, 8157, -752, 8152, -802,
|
||||
8147, -852, 8142, -902, 8136, -952, 8130, -1002, 8124, -1052, 8117,
|
||||
-1102, 8110, -1152, 8103, -1202, 8095, -1251, 8087, -1301, 8079, -1350,
|
||||
8071, -1400, 8062, -1450, 8053, -1499, 8044, -1548, 8034, -1598, 8024,
|
||||
-1647, 8014, -1696, 8003, -1745, 7992, -1794, 7981, -1843, 7970, -1892,
|
||||
7958, -1941, 7946, -1990, 7934, -2039, 7921, -2087, 7908, -2136, 7895,
|
||||
-2184, 7881, -2233, 7867, -2281, 7853, -2329, 7839, -2378, 7824, -2426,
|
||||
7809, -2474, 7794, -2521, 7778, -2569, 7762, -2617, 7746, -2664, 7729,
|
||||
-2712, 7713, -2759, 7696, -2807, 7678, -2854, 7661, -2901, 7643, -2948,
|
||||
7624, -2995, 7606, -3041, 7587, -3088, 7568, -3134, 7549, -3181, 7529,
|
||||
-3227, 7509, -3273, 7489, -3319, 7468, -3365, 7447, -3411, 7426, -3457,
|
||||
7405, -3502, 7383, -3547, 7361, -3593, 7339, -3638, 7317, -3683, 7294,
|
||||
-3728, 7271, -3772, 7248, -3817, 7224, -3861, 7200, -3905, 7176, -3950,
|
||||
7152, -3994, 7127, -4037, 7102, -4081, 7077, -4124, 7052, -4168, 7026,
|
||||
-4211, 7000, -4254, 6974, -4297, 6947, -4340, 6921, -4382, 6894, -4425,
|
||||
6866, -4467, 6839, -4509, 6811, -4551, 6783, -4592, 6755, -4634, 6726,
|
||||
-4675, 6697, -4717, 6668, -4758, 6639, -4798, 6609, -4839, 6579, -4879,
|
||||
6549, -4920, 6519, -4960, 6488, -5000, 6458, -5039, 6427, -5079, 6395,
|
||||
-5118, 6364, -5157, 6332, -5196, 6300, -5235, 6268, -5274, 6235, -5312,
|
||||
6203, -5350, 6170, -5388, 6136, -5426, 6103, -5464, 6069, -5501, 6036,
|
||||
-5538, 6001, -5575, 5967, -5612, 5933, -5648, 5898, -5685, 5863, -5721,
|
||||
5828, -5756, 5792, -5792, 5756, -5828, 5721, -5863, 5685, -5898, 5648,
|
||||
-5933, 5612, -5967, 5575, -6001, 5538, -6036, 5501, -6069, 5464, -6103,
|
||||
5426, -6136, 5388, -6170, 5350, -6203, 5312, -6235, 5274, -6268, 5235,
|
||||
-6300, 5196, -6332, 5157, -6364, 5118, -6395, 5079, -6427, 5039, -6458,
|
||||
5000, -6488, 4960, -6519, 4920, -6549, 4879, -6579, 4839, -6609, 4798,
|
||||
-6639, 4758, -6668, 4717, -6697, 4675, -6726, 4634, -6755, 4592, -6783,
|
||||
4551, -6811, 4509, -6839, 4467, -6866, 4425, -6894, 4382, -6921, 4340,
|
||||
-6947, 4297, -6974, 4254, -7000, 4211, -7026, 4168, -7052, 4124, -7077,
|
||||
4081, -7102, 4037, -7127, 3994, -7152, 3950, -7176, 3905, -7200, 3861,
|
||||
-7224, 3817, -7248, 3772, -7271, 3728, -7294, 3683, -7317, 3638, -7339,
|
||||
3593, -7361, 3547, -7383, 3502, -7405, 3457, -7426, 3411, -7447, 3365,
|
||||
-7468, 3319, -7489, 3273, -7509, 3227, -7529, 3181, -7549, 3134, -7568,
|
||||
3088, -7587, 3041, -7606, 2995, -7624, 2948, -7643, 2901, -7661, 2854,
|
||||
-7678, 2807, -7696, 2759, -7713, 2712, -7729, 2664, -7746, 2617, -7762,
|
||||
2569, -7778, 2521, -7794, 2474, -7809, 2426, -7824, 2378, -7839, 2329,
|
||||
-7853, 2281, -7867, 2233, -7881, 2184, -7895, 2136, -7908, 2087, -7921,
|
||||
2039, -7934, 1990, -7946, 1941, -7958, 1892, -7970, 1843, -7981, 1794,
|
||||
-7992, 1745, -8003, 1696, -8014, 1647, -8024, 1598, -8034, 1548, -8044,
|
||||
1499, -8053, 1450, -8062, 1400, -8071, 1350, -8079, 1301, -8087, 1251,
|
||||
-8095, 1202, -8103, 1152, -8110, 1102, -8117, 1052, -8124, 1002, -8130,
|
||||
952, -8136, 902, -8142, 852, -8147, 802, -8152, 752, -8157, 702,
|
||||
-8161, 652, -8165, 602, -8169, 552, -8173, 502, -8176, 452, -8179,
|
||||
401, -8182, 351, -8184, 301, -8186, 251, -8188, 201, -8189, 150,
|
||||
-8190, 100, -8191, 50, -8191, 0, -8191, -50, -8191, -100, -8191,
|
||||
-150, -8190, -201, -8189, -251, -8188, -301, -8186, -351, -8184, -401,
|
||||
-8182, -452, -8179, -502, -8176, -552, -8173, -602, -8169, -652, -8165,
|
||||
-702, -8161, -752, -8157, -802, -8152, -852, -8147, -902, -8142, -952,
|
||||
-8136, -1002, -8130, -1052, -8124, -1102, -8117, -1152, -8110, -1202, -8103,
|
||||
-1251, -8095, -1301, -8087, -1350, -8079, -1400, -8071, -1450, -8062, -1499,
|
||||
-8053, -1548, -8044, -1598, -8034, -1647, -8024, -1696, -8014, -1745, -8003,
|
||||
-1794, -7992, -1843, -7981, -1892, -7970, -1941, -7958, -1990, -7946, -2039,
|
||||
-7934, -2087, -7921, -2136, -7908, -2184, -7895, -2233, -7881, -2281, -7867,
|
||||
-2329, -7853, -2378, -7839, -2426, -7824, -2474, -7809, -2521, -7794, -2569,
|
||||
-7778, -2617, -7762, -2664, -7746, -2712, -7729, -2759, -7713, -2807, -7696,
|
||||
-2854, -7678, -2901, -7661, -2948, -7643, -2995, -7624, -3041, -7606, -3088,
|
||||
-7587, -3134, -7568, -3181, -7549, -3227, -7529, -3273, -7509, -3319, -7489,
|
||||
-3365, -7468, -3411, -7447, -3457, -7426, -3502, -7405, -3547, -7383, -3593,
|
||||
-7361, -3638, -7339, -3683, -7317, -3728, -7294, -3772, -7271, -3817, -7248,
|
||||
-3861, -7224, -3905, -7200, -3950, -7176, -3994, -7152, -4037, -7127, -4081,
|
||||
-7102, -4124, -7077, -4168, -7052, -4211, -7026, -4254, -7000, -4297, -6974,
|
||||
-4340, -6947, -4382, -6921, -4425, -6894, -4467, -6866, -4509, -6839, -4551,
|
||||
-6811, -4592, -6783, -4634, -6755, -4675, -6726, -4717, -6697, -4758, -6668,
|
||||
-4798, -6639, -4839, -6609, -4879, -6579, -4920, -6549, -4960, -6519, -5000,
|
||||
-6488, -5039, -6458, -5079, -6427, -5118, -6395, -5157, -6364, -5196, -6332,
|
||||
-5235, -6300, -5274, -6268, -5312, -6235, -5350, -6203, -5388, -6170, -5426,
|
||||
-6136, -5464, -6103, -5501, -6069, -5538, -6035, -5575, -6001, -5612, -5967,
|
||||
-5648, -5933, -5685, -5898, -5721, -5863, -5756, -5828, -5792, -5792, -5828,
|
||||
-5756, -5863, -5721, -5898, -5685, -5933, -5648, -5967, -5612, -6001, -5575,
|
||||
-6036, -5538, -6069, -5501, -6103, -5464, -6136, -5426, -6170, -5388, -6203,
|
||||
-5350, -6235, -5312, -6268, -5274, -6300, -5235, -6332, -5196, -6364, -5157,
|
||||
-6395, -5118, -6427, -5079, -6458, -5039, -6488, -5000, -6519, -4960, -6549,
|
||||
-4920, -6579, -4879, -6609, -4839, -6639, -4798, -6668, -4758, -6697, -4717,
|
||||
-6726, -4675, -6755, -4634, -6783, -4592, -6811, -4551, -6839, -4509, -6866,
|
||||
-4467, -6894, -4425, -6921, -4382, -6947, -4340, -6974, -4297, -7000, -4254,
|
||||
-7026, -4211, -7052, -4168, -7077, -4124, -7102, -4081, -7127, -4037, -7152,
|
||||
-3994, -7176, -3950, -7200, -3905, -7224, -3861, -7248, -3817, -7271, -3772,
|
||||
-7294, -3728, -7317, -3683, -7339, -3638, -7361, -3593, -7383, -3547, -7405,
|
||||
-3502, -7426, -3457, -7447, -3411, -7468, -3365, -7489, -3319, -7509, -3273,
|
||||
-7529, -3227, -7549, -3181, -7568, -3134, -7587, -3088, -7606, -3041, -7624,
|
||||
-2995, -7643, -2948, -7661, -2901, -7678, -2854, -7696, -2807, -7713, -2759,
|
||||
-7729, -2712, -7746, -2664, -7762, -2617, -7778, -2569, -7794, -2521, -7809,
|
||||
-2474, -7824, -2426, -7839, -2378, -7853, -2329, -7867, -2281, -7881, -2233,
|
||||
-7895, -2184, -7908, -2136, -7921, -2087, -7934, -2039, -7946, -1990, -7958,
|
||||
-1941, -7970, -1892, -7981, -1843, -7992, -1794, -8003, -1745, -8014, -1696,
|
||||
-8024, -1647, -8034, -1598, -8044, -1548, -8053, -1499, -8062, -1450, -8071,
|
||||
-1400, -8079, -1350, -8087, -1301, -8095, -1251, -8103, -1202, -8110, -1152,
|
||||
-8117, -1102, -8124, -1052, -8130, -1002, -8136, -952, -8142, -902, -8147,
|
||||
-852, -8152, -802, -8157, -752, -8161, -702, -8165, -652, -8169, -602,
|
||||
-8173, -552, -8176, -502, -8179, -452, -8182, -401, -8184, -351, -8186,
|
||||
-301, -8188, -251, -8189, -201, -8190, -150, -8191, -100, -8191, -50
|
||||
};
|
||||
|
||||
|
||||
/* 1024 real values as input data in float format */
|
||||
float fft_input[ 1024 ] = {
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
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|
||||
};
|
||||
BIN
targets/wasm-tacle/kernel/fft/generated/default/fft.wasm
Executable file
BIN
targets/wasm-tacle/kernel/fft/generated/default/fft.wasm
Executable file
Binary file not shown.
581
targets/wasm-tacle/kernel/fft/generated/default/fft.wat
Normal file
581
targets/wasm-tacle/kernel/fft/generated/default/fft.wat
Normal file
File diff suppressed because one or more lines are too long
@ -0,0 +1,330 @@
|
||||
/*
|
||||
|
||||
This program is part of the TACLeBench benchmark suite.
|
||||
Version V 2.0
|
||||
|
||||
Name: fft
|
||||
|
||||
Author: Juan Martinez Velarde
|
||||
|
||||
Function: benchmarking of an integer stage scaling FFT
|
||||
To avoid errors caused by overflow and bit growth,
|
||||
the input data is scaled. Bit growth occurs potentially
|
||||
at butterfly operations, which involve a complex
|
||||
multiplication, a complex addition and a complex
|
||||
subtraction. Maximal bit growth from butterfly input
|
||||
to butterfly output is two bits.
|
||||
|
||||
The input data includes enough extra sign bits, called
|
||||
guard bits, to ensure that bit growth never results in
|
||||
overflow (Rabiner and Gold, 1975). Data can grow by a
|
||||
maximum factor of 2.4 from butterfly input to output
|
||||
(two bits of grow). However, a data value cannot grow by
|
||||
maximum amount in two consecutive stages.
|
||||
The number of guard bits necessary to compensate the
|
||||
maximum bit growth in an N-point FFT is (log_2 (N))+1).
|
||||
|
||||
In a 16-point FFT (requires 4 stages), each of the
|
||||
input samples should contain 5 guard bits. The input
|
||||
data is then restricted to 10 bits, one sign bit and
|
||||
nine magnitude bits, in order to prevent an
|
||||
overflow from the integer multiplication with the
|
||||
precalculed twiddle coefficients.
|
||||
|
||||
Another method to compensate bit growth is to scale the
|
||||
outputs down by a factor of two unconditionally after
|
||||
each stage. This approach is called unconditional scaling
|
||||
|
||||
Initially, 2 guard bits are included in the input data to
|
||||
accomodate the maximum overflow in the first stage.
|
||||
In each butterfly of a stage calculation, the data can
|
||||
grow into the guard bits. To prevent overflow in the next
|
||||
stage, the guard bits are replaced before the next stage is
|
||||
executed by shifting the entire block of data one bit
|
||||
to the right.
|
||||
|
||||
Input data should not be restricted to a 1.9 format.
|
||||
Input data can be represented in a 1.13 format,that is
|
||||
14 significant bits, one sign and 13 magnitude bits. In
|
||||
the FFT calculation, the data loses a total of (log2 N) -1
|
||||
bits because of shifting. Unconditional scaling results
|
||||
in the same number of bits lost as in the input data scaling.
|
||||
However, it produces more precise results because the
|
||||
FFT starts with more precise input data. The tradeoff is
|
||||
a slower FFT calculation because of the extra cycles needed
|
||||
to shift the output of each stage.
|
||||
|
||||
Source: DSP-Stone
|
||||
http://www.ice.rwth-aachen.de/research/tools-projects/entry/detail/dspstone/
|
||||
|
||||
Original name: fft_1024_13
|
||||
(merged main1024_bit_reduct and fft_bit_reduct from DSP-Stone)
|
||||
|
||||
Changes: no major functional changes
|
||||
|
||||
License: may be used, modified, and re-distributed freely
|
||||
|
||||
*/
|
||||
|
||||
// Wasm loop bounds
|
||||
|
||||
__attribute__((import_module("__pragma"), import_name("loopbound"))) extern void
|
||||
__pragma_loopbound(unsigned int min_bound, unsigned int max_bound);
|
||||
|
||||
#define N_FFT 1024
|
||||
#define NUMBER_OF_BITS 13 /* fract format 1.NUMBER_OF_BITS = 1.13 */
|
||||
|
||||
#define BITS_PER_TWID 13 /* bits per twiddle coefficient */
|
||||
#define SHIFT BITS_PER_TWID /* fractional shift after each multiplication */
|
||||
|
||||
/*
|
||||
Forward declaration of functions
|
||||
*/
|
||||
|
||||
float fft_exp2f(float x);
|
||||
float fft_modff(float x, float *intpart);
|
||||
int fft_convert(float value);
|
||||
void fft_bit_reduct(register int *int_pointer);
|
||||
void fft_pin_down(int input_data[]);
|
||||
void fft_init(void);
|
||||
__attribute__((noinline)) __attribute__((export_name("entrypoint"))) void
|
||||
fft_main(void);
|
||||
int fft_return(void);
|
||||
__attribute__((noinline)) __attribute__((export_name("main"))) int main(void);
|
||||
|
||||
/*
|
||||
Forward declaration of global variables
|
||||
*/
|
||||
|
||||
int fft_input_data[2 * N_FFT];
|
||||
|
||||
/* precalculated twiddle factors
|
||||
for an integer 1024 point FFT
|
||||
in format 1.13 => table twidtable[ 2*(N_FFT-1) ] ; */
|
||||
extern int fft_twidtable[2046];
|
||||
|
||||
/* 1024 real values as input data in float format */
|
||||
extern float fft_input[1024];
|
||||
|
||||
/* will hold the transformed data */
|
||||
int fft_inputfract[N_FFT];
|
||||
|
||||
/*
|
||||
Algorithm core function
|
||||
*/
|
||||
|
||||
void
|
||||
fft_bit_reduct(register int *int_pointer) {
|
||||
register int i, j = 0;
|
||||
register int tmpr, max = 2, m, n = N_FFT << 1;
|
||||
|
||||
/* do the bit reversal scramble of the input data */
|
||||
__pragma_loopbound(1024, 1024);
|
||||
for (i = 0; i < (n - 1); i += 2) {
|
||||
if (j > i) {
|
||||
tmpr = *(int_pointer + j);
|
||||
*(int_pointer + j) = *(int_pointer + i);
|
||||
*(int_pointer + i) = tmpr;
|
||||
|
||||
tmpr = *(int_pointer + j + 1);
|
||||
*(int_pointer + j + 1) = *(int_pointer + i + 1);
|
||||
*(int_pointer + i + 1) = tmpr;
|
||||
}
|
||||
|
||||
m = N_FFT;
|
||||
|
||||
__pragma_loopbound(0, 10);
|
||||
while (m >= 2 && j >= m) {
|
||||
j -= m;
|
||||
m >>= 1;
|
||||
}
|
||||
j += m;
|
||||
}
|
||||
|
||||
{
|
||||
register int *data_pointer = &fft_twidtable[0];
|
||||
register int *p, *q;
|
||||
register int tmpi, fr = 0, level, k, l;
|
||||
|
||||
__pragma_loopbound(10, 10);
|
||||
while (n > max) {
|
||||
level = max << 1;
|
||||
|
||||
__pragma_loopbound(1, 512);
|
||||
for (m = 1; m < max; m += 2) {
|
||||
l = *(data_pointer + fr);
|
||||
k = *(data_pointer + fr + 1);
|
||||
fr += 2;
|
||||
|
||||
__pragma_loopbound(1, 512);
|
||||
for (i = m; i <= n; i += level) {
|
||||
j = i + max;
|
||||
p = int_pointer + j;
|
||||
q = int_pointer + i;
|
||||
|
||||
tmpr = l * *(p - 1);
|
||||
tmpr -= (k * *p);
|
||||
|
||||
tmpi = l * *p;
|
||||
tmpi += (k * *(p - 1));
|
||||
|
||||
tmpr = tmpr >> SHIFT;
|
||||
tmpi = tmpi >> SHIFT;
|
||||
|
||||
*(p - 1) = *(q - 1) - tmpr;
|
||||
*p = *q - tmpi;
|
||||
|
||||
*(q - 1) += tmpr;
|
||||
*q += tmpi;
|
||||
}
|
||||
}
|
||||
|
||||
/* implement unconditional bit reduction */
|
||||
|
||||
{
|
||||
register int f;
|
||||
|
||||
p = int_pointer;
|
||||
|
||||
__pragma_loopbound(2048, 2048);
|
||||
for (f = 0; f < 2 * N_FFT; f++) {
|
||||
*p = *p >> 1;
|
||||
p++;
|
||||
}
|
||||
}
|
||||
|
||||
max = level;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
/*
|
||||
Initialization- and return-value-related functions
|
||||
*/
|
||||
|
||||
/* conversion function to 1.NUMBER_OF_BITS format */
|
||||
float
|
||||
fft_exp2f(float x) {
|
||||
int i;
|
||||
float ret = 2.0f;
|
||||
|
||||
__pragma_loopbound(13, 13);
|
||||
for (i = 1; i < x; ++i)
|
||||
ret *= 2.0f;
|
||||
|
||||
return ret;
|
||||
}
|
||||
|
||||
float
|
||||
fft_modff(float x, float *intpart) {
|
||||
if (intpart) {
|
||||
*intpart = (int) x;
|
||||
return x - *intpart;
|
||||
} else
|
||||
return x;
|
||||
}
|
||||
|
||||
/* conversion function to 1.NUMBER_OF_BITS format */
|
||||
int
|
||||
fft_convert(float value) {
|
||||
float man, t_val, frac, m, exponent = NUMBER_OF_BITS;
|
||||
int rnd_val;
|
||||
unsigned long int_val;
|
||||
unsigned long pm_val;
|
||||
|
||||
m = fft_exp2f(exponent + 1) - 1;
|
||||
|
||||
t_val = value * m;
|
||||
frac = fft_modff(t_val, &man);
|
||||
if (frac < 0.0f) {
|
||||
rnd_val = (-1);
|
||||
if (frac > -0.5f)
|
||||
rnd_val = 0;
|
||||
} else {
|
||||
rnd_val = 1;
|
||||
if (frac < 0.5f)
|
||||
rnd_val = 0;
|
||||
}
|
||||
int_val = (long) man + (long) rnd_val;
|
||||
|
||||
pm_val = int_val;
|
||||
return ((int) (pm_val));
|
||||
}
|
||||
|
||||
void
|
||||
fft_float2fract(void) {
|
||||
float f;
|
||||
int j, i;
|
||||
|
||||
__pragma_loopbound(1024, 1024);
|
||||
for (j = 0; j < N_FFT; j++) {
|
||||
f = fft_input[j];
|
||||
i = fft_convert(f);
|
||||
fft_inputfract[j] = i;
|
||||
}
|
||||
}
|
||||
|
||||
void
|
||||
fft_pin_down(int input_data[]) {
|
||||
/* conversion from input to a 1.13 format */
|
||||
fft_float2fract();
|
||||
|
||||
int *pd, *ps, f;
|
||||
|
||||
pd = &input_data[0];
|
||||
ps = &fft_inputfract[0];
|
||||
|
||||
__pragma_loopbound(1024, 1024);
|
||||
for (f = 0; f < N_FFT; f++) {
|
||||
*pd++ = *ps++; /* fill in with real data */
|
||||
*pd++ = 0; /* imaginary data is equal zero */
|
||||
}
|
||||
}
|
||||
|
||||
void
|
||||
fft_init(void) {
|
||||
int i;
|
||||
volatile int x = 0;
|
||||
|
||||
fft_pin_down(&fft_input_data[0]);
|
||||
|
||||
/* avoid constant propagation of input values */
|
||||
__pragma_loopbound(2046, 2046);
|
||||
for (i = 0; i < 2 * (N_FFT - 1); i++) {
|
||||
fft_input_data[i] += x;
|
||||
fft_twidtable[i] += x;
|
||||
}
|
||||
__pragma_loopbound(2, 2);
|
||||
for (; i < 2 * N_FFT; i++)
|
||||
fft_input_data[i] += x;
|
||||
}
|
||||
|
||||
int
|
||||
fft_return(void) {
|
||||
int check_sum = 0;
|
||||
int i = 0;
|
||||
|
||||
__pragma_loopbound(2048, 2048);
|
||||
for (i = 0; i < 2 * N_FFT; ++i)
|
||||
check_sum += fft_input_data[i];
|
||||
|
||||
return check_sum != 3968;
|
||||
}
|
||||
|
||||
/*
|
||||
Main functions
|
||||
*/
|
||||
|
||||
__attribute__((noinline)) __attribute__((export_name("entrypoint"))) void
|
||||
fft_main(void) {
|
||||
fft_bit_reduct(&fft_input_data[0]);
|
||||
}
|
||||
|
||||
__attribute__((noinline)) __attribute__((export_name("main"))) int
|
||||
main(void) {
|
||||
fft_init();
|
||||
|
||||
fft_main();
|
||||
|
||||
return fft_return();
|
||||
}
|
||||
@ -0,0 +1,320 @@
|
||||
|
||||
|
||||
int fft_twidtable[2046] = {
|
||||
8192, 0, 8192, 0, 0, -8192, 8192, 0, 5792, -5792, 0,
|
||||
-8191, -5792, -5792, 8192, 0, 7568, -3134, 5792, -5792, 3134, -7568,
|
||||
0, -8192, -3134, -7568, -5792, -5792, -7568, -3134, 8192, 0, 8034,
|
||||
-1598, 7568, -3134, 6811, -4551, 5792, -5792, 4551, -6811, 3134, -7568,
|
||||
1598, -8034, 0, -8192, -1598, -8034, -3134, -7568, -4551, -6811, -5792,
|
||||
-5792, -6811, -4551, -7568, -3134, -8034, -1598, 8192, 0, 8152, -802,
|
||||
8034, -1598, 7839, -2378, 7568, -3134, 7224, -3861, 6811, -4551, 6332,
|
||||
-5196, 5792, -5792, 5196, -6332, 4551, -6811, 3861, -7224, 3134, -7568,
|
||||
2378, -7839, 1598, -8034, 802, -8152, 0, -8191, -802, -8152, -1598,
|
||||
-8034, -2378, -7839, -3134, -7568, -3861, -7224, -4551, -6811, -5196, -6332,
|
||||
-5792, -5792, -6332, -5196, -6811, -4551, -7224, -3861, -7568, -3134, -7839,
|
||||
-2378, -8034, -1598, -8152, -802, 8192, 0, 8182, -401, 8152, -802,
|
||||
8103, -1202, 8034, -1598, 7946, -1990, 7839, -2378, 7713, -2759, 7568,
|
||||
-3134, 7405, -3502, 7224, -3861, 7026, -4211, 6811, -4551, 6579, -4879,
|
||||
6332, -5196, 6069, -5501, 5792, -5792, 5501, -6069, 5196, -6332, 4879,
|
||||
-6579, 4551, -6811, 4211, -7026, 3861, -7224, 3502, -7405, 3134, -7568,
|
||||
2759, -7713, 2378, -7839, 1990, -7946, 1598, -8034, 1202, -8103, 802,
|
||||
-8152, 401, -8182, 0, -8192, -401, -8182, -802, -8152, -1202, -8103,
|
||||
-1598, -8034, -1990, -7946, -2378, -7839, -2759, -7713, -3134, -7568, -3502,
|
||||
-7405, -3861, -7224, -4211, -7026, -4551, -6811, -4879, -6579, -5196, -6332,
|
||||
-5501, -6069, -5792, -5792, -6069, -5501, -6332, -5196, -6579, -4879, -6811,
|
||||
-4551, -7026, -4211, -7224, -3861, -7405, -3502, -7568, -3134, -7713, -2759,
|
||||
-7839, -2378, -7946, -1990, -8034, -1598, -8103, -1202, -8152, -802, -8182,
|
||||
-401, 8192, 0, 8189, -201, 8182, -401, 8169, -602, 8152, -802,
|
||||
8130, -1002, 8103, -1202, 8071, -1400, 8034, -1598, 7992, -1794, 7946,
|
||||
-1990, 7895, -2184, 7839, -2378, 7778, -2569, 7713, -2759, 7643, -2948,
|
||||
7568, -3134, 7489, -3319, 7405, -3502, 7317, -3683, 7224, -3861, 7127,
|
||||
-4037, 7026, -4211, 6921, -4382, 6811, -4551, 6697, -4717, 6579, -4879,
|
||||
6458, -5039, 6332, -5196, 6203, -5350, 6069, -5501, 5933, -5648, 5792,
|
||||
-5792, 5648, -5933, 5501, -6069, 5350, -6203, 5196, -6332, 5039, -6458,
|
||||
4879, -6579, 4717, -6697, 4551, -6811, 4382, -6921, 4211, -7026, 4037,
|
||||
-7127, 3861, -7224, 3683, -7317, 3502, -7405, 3319, -7489, 3134, -7568,
|
||||
2948, -7643, 2759, -7713, 2569, -7778, 2378, -7839, 2184, -7895, 1990,
|
||||
-7946, 1794, -7992, 1598, -8034, 1400, -8071, 1202, -8103, 1002, -8130,
|
||||
802, -8152, 602, -8169, 401, -8182, 201, -8189, 0, -8192, -201,
|
||||
-8189, -401, -8182, -602, -8169, -802, -8152, -1002, -8130, -1202, -8103,
|
||||
-1400, -8071, -1598, -8034, -1794, -7992, -1990, -7946, -2184, -7895, -2378,
|
||||
-7839, -2569, -7778, -2759, -7713, -2948, -7643, -3134, -7568, -3319, -7489,
|
||||
-3502, -7405, -3683, -7317, -3861, -7224, -4037, -7127, -4211, -7026, -4382,
|
||||
-6921, -4551, -6811, -4717, -6697, -4879, -6579, -5039, -6458, -5196, -6332,
|
||||
-5350, -6203, -5501, -6069, -5648, -5933, -5792, -5792, -5933, -5648, -6069,
|
||||
-5501, -6203, -5350, -6332, -5196, -6458, -5039, -6579, -4879, -6697, -4717,
|
||||
-6811, -4551, -6921, -4382, -7026, -4211, -7127, -4037, -7224, -3861, -7317,
|
||||
-3683, -7405, -3502, -7489, -3319, -7568, -3134, -7643, -2948, -7713, -2759,
|
||||
-7778, -2569, -7839, -2378, -7895, -2184, -7946, -1990, -7992, -1794, -8034,
|
||||
-1598, -8071, -1400, -8103, -1202, -8130, -1002, -8152, -802, -8169, -602,
|
||||
-8182, -401, -8189, -201, 8192, 0, 8191, -100, 8189, -201, 8186,
|
||||
-301, 8182, -401, 8176, -502, 8169, -602, 8161, -702, 8152, -802,
|
||||
8142, -902, 8130, -1002, 8117, -1102, 8103, -1202, 8087, -1301, 8071,
|
||||
-1400, 8053, -1499, 8034, -1598, 8014, -1696, 7992, -1794, 7970, -1892,
|
||||
7946, -1990, 7921, -2087, 7895, -2184, 7867, -2281, 7839, -2378, 7809,
|
||||
-2474, 7778, -2569, 7746, -2664, 7713, -2759, 7678, -2854, 7643, -2948,
|
||||
7606, -3041, 7568, -3134, 7529, -3227, 7489, -3319, 7447, -3411, 7405,
|
||||
-3502, 7361, -3593, 7317, -3683, 7271, -3772, 7224, -3861, 7176, -3950,
|
||||
7127, -4037, 7077, -4124, 7026, -4211, 6974, -4297, 6921, -4382, 6866,
|
||||
-4467, 6811, -4551, 6755, -4634, 6697, -4717, 6639, -4798, 6579, -4879,
|
||||
6519, -4960, 6458, -5039, 6395, -5118, 6332, -5196, 6268, -5274, 6203,
|
||||
-5350, 6136, -5426, 6069, -5501, 6001, -5575, 5933, -5648, 5863, -5721,
|
||||
5792, -5792, 5721, -5863, 5648, -5933, 5575, -6001, 5501, -6069, 5426,
|
||||
-6136, 5350, -6203, 5274, -6268, 5196, -6332, 5118, -6395, 5039, -6458,
|
||||
4960, -6519, 4879, -6579, 4798, -6639, 4717, -6697, 4634, -6755, 4551,
|
||||
-6811, 4467, -6866, 4382, -6921, 4297, -6974, 4211, -7026, 4124, -7077,
|
||||
4037, -7127, 3950, -7176, 3861, -7224, 3772, -7271, 3683, -7317, 3593,
|
||||
-7361, 3502, -7405, 3411, -7447, 3319, -7489, 3227, -7529, 3134, -7568,
|
||||
3041, -7606, 2948, -7643, 2854, -7678, 2759, -7713, 2664, -7746, 2569,
|
||||
-7778, 2474, -7809, 2378, -7839, 2281, -7867, 2184, -7895, 2087, -7921,
|
||||
1990, -7946, 1892, -7970, 1794, -7992, 1696, -8014, 1598, -8034, 1499,
|
||||
-8053, 1400, -8071, 1301, -8087, 1202, -8103, 1102, -8117, 1002, -8130,
|
||||
902, -8142, 802, -8152, 702, -8161, 602, -8169, 502, -8176, 401,
|
||||
-8182, 301, -8186, 201, -8189, 100, -8191, 0, -8192, -100, -8191,
|
||||
-201, -8189, -301, -8186, -401, -8182, -502, -8176, -602, -8169, -702,
|
||||
-8161, -802, -8152, -902, -8142, -1002, -8130, -1102, -8117, -1202, -8103,
|
||||
-1301, -8087, -1400, -8071, -1499, -8053, -1598, -8034, -1696, -8014, -1794,
|
||||
-7992, -1892, -7970, -1990, -7946, -2087, -7921, -2184, -7895, -2281, -7867,
|
||||
-2378, -7839, -2474, -7809, -2569, -7778, -2664, -7746, -2759, -7713, -2854,
|
||||
-7678, -2948, -7643, -3041, -7606, -3134, -7568, -3227, -7529, -3319, -7489,
|
||||
-3411, -7447, -3502, -7405, -3593, -7361, -3683, -7317, -3772, -7271, -3861,
|
||||
-7224, -3950, -7176, -4037, -7127, -4124, -7077, -4211, -7026, -4297, -6974,
|
||||
-4382, -6921, -4467, -6866, -4551, -6811, -4634, -6755, -4717, -6697, -4798,
|
||||
-6639, -4879, -6579, -4960, -6519, -5039, -6458, -5118, -6395, -5196, -6332,
|
||||
-5274, -6268, -5350, -6203, -5426, -6136, -5501, -6069, -5575, -6001, -5648,
|
||||
-5933, -5721, -5863, -5792, -5792, -5863, -5721, -5933, -5648, -6001, -5575,
|
||||
-6069, -5501, -6136, -5426, -6203, -5350, -6268, -5274, -6332, -5196, -6395,
|
||||
-5118, -6458, -5039, -6519, -4960, -6579, -4879, -6639, -4798, -6697, -4717,
|
||||
-6755, -4634, -6811, -4551, -6866, -4467, -6921, -4382, -6974, -4297, -7026,
|
||||
-4211, -7077, -4124, -7127, -4037, -7176, -3950, -7224, -3861, -7271, -3772,
|
||||
-7317, -3683, -7361, -3593, -7405, -3502, -7447, -3411, -7489, -3319, -7529,
|
||||
-3227, -7568, -3134, -7606, -3041, -7643, -2948, -7678, -2854, -7713, -2759,
|
||||
-7746, -2664, -7778, -2569, -7809, -2474, -7839, -2378, -7867, -2281, -7895,
|
||||
-2184, -7921, -2087, -7946, -1990, -7970, -1892, -7992, -1794, -8014, -1696,
|
||||
-8034, -1598, -8053, -1499, -8071, -1400, -8087, -1301, -8103, -1202, -8117,
|
||||
-1102, -8130, -1002, -8142, -902, -8152, -802, -8161, -702, -8169, -602,
|
||||
-8176, -502, -8182, -401, -8186, -301, -8189, -201, -8191, -100, 8192,
|
||||
0, 8191, -50, 8191, -100, 8190, -150, 8189, -201, 8188, -251,
|
||||
8186, -301, 8184, -351, 8182, -401, 8179, -452, 8176, -502, 8173,
|
||||
-552, 8169, -602, 8165, -652, 8161, -702, 8157, -752, 8152, -802,
|
||||
8147, -852, 8142, -902, 8136, -952, 8130, -1002, 8124, -1052, 8117,
|
||||
-1102, 8110, -1152, 8103, -1202, 8095, -1251, 8087, -1301, 8079, -1350,
|
||||
8071, -1400, 8062, -1450, 8053, -1499, 8044, -1548, 8034, -1598, 8024,
|
||||
-1647, 8014, -1696, 8003, -1745, 7992, -1794, 7981, -1843, 7970, -1892,
|
||||
7958, -1941, 7946, -1990, 7934, -2039, 7921, -2087, 7908, -2136, 7895,
|
||||
-2184, 7881, -2233, 7867, -2281, 7853, -2329, 7839, -2378, 7824, -2426,
|
||||
7809, -2474, 7794, -2521, 7778, -2569, 7762, -2617, 7746, -2664, 7729,
|
||||
-2712, 7713, -2759, 7696, -2807, 7678, -2854, 7661, -2901, 7643, -2948,
|
||||
7624, -2995, 7606, -3041, 7587, -3088, 7568, -3134, 7549, -3181, 7529,
|
||||
-3227, 7509, -3273, 7489, -3319, 7468, -3365, 7447, -3411, 7426, -3457,
|
||||
7405, -3502, 7383, -3547, 7361, -3593, 7339, -3638, 7317, -3683, 7294,
|
||||
-3728, 7271, -3772, 7248, -3817, 7224, -3861, 7200, -3905, 7176, -3950,
|
||||
7152, -3994, 7127, -4037, 7102, -4081, 7077, -4124, 7052, -4168, 7026,
|
||||
-4211, 7000, -4254, 6974, -4297, 6947, -4340, 6921, -4382, 6894, -4425,
|
||||
6866, -4467, 6839, -4509, 6811, -4551, 6783, -4592, 6755, -4634, 6726,
|
||||
-4675, 6697, -4717, 6668, -4758, 6639, -4798, 6609, -4839, 6579, -4879,
|
||||
6549, -4920, 6519, -4960, 6488, -5000, 6458, -5039, 6427, -5079, 6395,
|
||||
-5118, 6364, -5157, 6332, -5196, 6300, -5235, 6268, -5274, 6235, -5312,
|
||||
6203, -5350, 6170, -5388, 6136, -5426, 6103, -5464, 6069, -5501, 6036,
|
||||
-5538, 6001, -5575, 5967, -5612, 5933, -5648, 5898, -5685, 5863, -5721,
|
||||
5828, -5756, 5792, -5792, 5756, -5828, 5721, -5863, 5685, -5898, 5648,
|
||||
-5933, 5612, -5967, 5575, -6001, 5538, -6036, 5501, -6069, 5464, -6103,
|
||||
5426, -6136, 5388, -6170, 5350, -6203, 5312, -6235, 5274, -6268, 5235,
|
||||
-6300, 5196, -6332, 5157, -6364, 5118, -6395, 5079, -6427, 5039, -6458,
|
||||
5000, -6488, 4960, -6519, 4920, -6549, 4879, -6579, 4839, -6609, 4798,
|
||||
-6639, 4758, -6668, 4717, -6697, 4675, -6726, 4634, -6755, 4592, -6783,
|
||||
4551, -6811, 4509, -6839, 4467, -6866, 4425, -6894, 4382, -6921, 4340,
|
||||
-6947, 4297, -6974, 4254, -7000, 4211, -7026, 4168, -7052, 4124, -7077,
|
||||
4081, -7102, 4037, -7127, 3994, -7152, 3950, -7176, 3905, -7200, 3861,
|
||||
-7224, 3817, -7248, 3772, -7271, 3728, -7294, 3683, -7317, 3638, -7339,
|
||||
3593, -7361, 3547, -7383, 3502, -7405, 3457, -7426, 3411, -7447, 3365,
|
||||
-7468, 3319, -7489, 3273, -7509, 3227, -7529, 3181, -7549, 3134, -7568,
|
||||
3088, -7587, 3041, -7606, 2995, -7624, 2948, -7643, 2901, -7661, 2854,
|
||||
-7678, 2807, -7696, 2759, -7713, 2712, -7729, 2664, -7746, 2617, -7762,
|
||||
2569, -7778, 2521, -7794, 2474, -7809, 2426, -7824, 2378, -7839, 2329,
|
||||
-7853, 2281, -7867, 2233, -7881, 2184, -7895, 2136, -7908, 2087, -7921,
|
||||
2039, -7934, 1990, -7946, 1941, -7958, 1892, -7970, 1843, -7981, 1794,
|
||||
-7992, 1745, -8003, 1696, -8014, 1647, -8024, 1598, -8034, 1548, -8044,
|
||||
1499, -8053, 1450, -8062, 1400, -8071, 1350, -8079, 1301, -8087, 1251,
|
||||
-8095, 1202, -8103, 1152, -8110, 1102, -8117, 1052, -8124, 1002, -8130,
|
||||
952, -8136, 902, -8142, 852, -8147, 802, -8152, 752, -8157, 702,
|
||||
-8161, 652, -8165, 602, -8169, 552, -8173, 502, -8176, 452, -8179,
|
||||
401, -8182, 351, -8184, 301, -8186, 251, -8188, 201, -8189, 150,
|
||||
-8190, 100, -8191, 50, -8191, 0, -8191, -50, -8191, -100, -8191,
|
||||
-150, -8190, -201, -8189, -251, -8188, -301, -8186, -351, -8184, -401,
|
||||
-8182, -452, -8179, -502, -8176, -552, -8173, -602, -8169, -652, -8165,
|
||||
-702, -8161, -752, -8157, -802, -8152, -852, -8147, -902, -8142, -952,
|
||||
-8136, -1002, -8130, -1052, -8124, -1102, -8117, -1152, -8110, -1202, -8103,
|
||||
-1251, -8095, -1301, -8087, -1350, -8079, -1400, -8071, -1450, -8062, -1499,
|
||||
-8053, -1548, -8044, -1598, -8034, -1647, -8024, -1696, -8014, -1745, -8003,
|
||||
-1794, -7992, -1843, -7981, -1892, -7970, -1941, -7958, -1990, -7946, -2039,
|
||||
-7934, -2087, -7921, -2136, -7908, -2184, -7895, -2233, -7881, -2281, -7867,
|
||||
-2329, -7853, -2378, -7839, -2426, -7824, -2474, -7809, -2521, -7794, -2569,
|
||||
-7778, -2617, -7762, -2664, -7746, -2712, -7729, -2759, -7713, -2807, -7696,
|
||||
-2854, -7678, -2901, -7661, -2948, -7643, -2995, -7624, -3041, -7606, -3088,
|
||||
-7587, -3134, -7568, -3181, -7549, -3227, -7529, -3273, -7509, -3319, -7489,
|
||||
-3365, -7468, -3411, -7447, -3457, -7426, -3502, -7405, -3547, -7383, -3593,
|
||||
-7361, -3638, -7339, -3683, -7317, -3728, -7294, -3772, -7271, -3817, -7248,
|
||||
-3861, -7224, -3905, -7200, -3950, -7176, -3994, -7152, -4037, -7127, -4081,
|
||||
-7102, -4124, -7077, -4168, -7052, -4211, -7026, -4254, -7000, -4297, -6974,
|
||||
-4340, -6947, -4382, -6921, -4425, -6894, -4467, -6866, -4509, -6839, -4551,
|
||||
-6811, -4592, -6783, -4634, -6755, -4675, -6726, -4717, -6697, -4758, -6668,
|
||||
-4798, -6639, -4839, -6609, -4879, -6579, -4920, -6549, -4960, -6519, -5000,
|
||||
-6488, -5039, -6458, -5079, -6427, -5118, -6395, -5157, -6364, -5196, -6332,
|
||||
-5235, -6300, -5274, -6268, -5312, -6235, -5350, -6203, -5388, -6170, -5426,
|
||||
-6136, -5464, -6103, -5501, -6069, -5538, -6035, -5575, -6001, -5612, -5967,
|
||||
-5648, -5933, -5685, -5898, -5721, -5863, -5756, -5828, -5792, -5792, -5828,
|
||||
-5756, -5863, -5721, -5898, -5685, -5933, -5648, -5967, -5612, -6001, -5575,
|
||||
-6036, -5538, -6069, -5501, -6103, -5464, -6136, -5426, -6170, -5388, -6203,
|
||||
-5350, -6235, -5312, -6268, -5274, -6300, -5235, -6332, -5196, -6364, -5157,
|
||||
-6395, -5118, -6427, -5079, -6458, -5039, -6488, -5000, -6519, -4960, -6549,
|
||||
-4920, -6579, -4879, -6609, -4839, -6639, -4798, -6668, -4758, -6697, -4717,
|
||||
-6726, -4675, -6755, -4634, -6783, -4592, -6811, -4551, -6839, -4509, -6866,
|
||||
-4467, -6894, -4425, -6921, -4382, -6947, -4340, -6974, -4297, -7000, -4254,
|
||||
-7026, -4211, -7052, -4168, -7077, -4124, -7102, -4081, -7127, -4037, -7152,
|
||||
-3994, -7176, -3950, -7200, -3905, -7224, -3861, -7248, -3817, -7271, -3772,
|
||||
-7294, -3728, -7317, -3683, -7339, -3638, -7361, -3593, -7383, -3547, -7405,
|
||||
-3502, -7426, -3457, -7447, -3411, -7468, -3365, -7489, -3319, -7509, -3273,
|
||||
-7529, -3227, -7549, -3181, -7568, -3134, -7587, -3088, -7606, -3041, -7624,
|
||||
-2995, -7643, -2948, -7661, -2901, -7678, -2854, -7696, -2807, -7713, -2759,
|
||||
-7729, -2712, -7746, -2664, -7762, -2617, -7778, -2569, -7794, -2521, -7809,
|
||||
-2474, -7824, -2426, -7839, -2378, -7853, -2329, -7867, -2281, -7881, -2233,
|
||||
-7895, -2184, -7908, -2136, -7921, -2087, -7934, -2039, -7946, -1990, -7958,
|
||||
-1941, -7970, -1892, -7981, -1843, -7992, -1794, -8003, -1745, -8014, -1696,
|
||||
-8024, -1647, -8034, -1598, -8044, -1548, -8053, -1499, -8062, -1450, -8071,
|
||||
-1400, -8079, -1350, -8087, -1301, -8095, -1251, -8103, -1202, -8110, -1152,
|
||||
-8117, -1102, -8124, -1052, -8130, -1002, -8136, -952, -8142, -902, -8147,
|
||||
-852, -8152, -802, -8157, -752, -8161, -702, -8165, -652, -8169, -602,
|
||||
-8173, -552, -8176, -502, -8179, -452, -8182, -401, -8184, -351, -8186,
|
||||
-301, -8188, -251, -8189, -201, -8190, -150, -8191, -100, -8191, -50};
|
||||
|
||||
/* 1024 real values as input data in float format */
|
||||
float fft_input[1024] = {
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f};
|
||||
@ -0,0 +1,342 @@
|
||||
/*
|
||||
|
||||
This program is part of the TACLeBench benchmark suite.
|
||||
Version V 2.0
|
||||
|
||||
Name: fft
|
||||
|
||||
Author: Juan Martinez Velarde
|
||||
|
||||
Function: benchmarking of an integer stage scaling FFT
|
||||
To avoid errors caused by overflow and bit growth,
|
||||
the input data is scaled. Bit growth occurs potentially
|
||||
at butterfly operations, which involve a complex
|
||||
multiplication, a complex addition and a complex
|
||||
subtraction. Maximal bit growth from butterfly input
|
||||
to butterfly output is two bits.
|
||||
|
||||
The input data includes enough extra sign bits, called
|
||||
guard bits, to ensure that bit growth never results in
|
||||
overflow (Rabiner and Gold, 1975). Data can grow by a
|
||||
maximum factor of 2.4 from butterfly input to output
|
||||
(two bits of grow). However, a data value cannot grow by
|
||||
maximum amount in two consecutive stages.
|
||||
The number of guard bits necessary to compensate the
|
||||
maximum bit growth in an N-point FFT is (log_2 (N))+1).
|
||||
|
||||
In a 16-point FFT (requires 4 stages), each of the
|
||||
input samples should contain 5 guard bits. The input
|
||||
data is then restricted to 10 bits, one sign bit and
|
||||
nine magnitude bits, in order to prevent an
|
||||
overflow from the integer multiplication with the
|
||||
precalculed twiddle coefficients.
|
||||
|
||||
Another method to compensate bit growth is to scale the
|
||||
outputs down by a factor of two unconditionally after
|
||||
each stage. This approach is called unconditional scaling
|
||||
|
||||
Initially, 2 guard bits are included in the input data to
|
||||
accomodate the maximum overflow in the first stage.
|
||||
In each butterfly of a stage calculation, the data can
|
||||
grow into the guard bits. To prevent overflow in the next
|
||||
stage, the guard bits are replaced before the next stage is
|
||||
executed by shifting the entire block of data one bit
|
||||
to the right.
|
||||
|
||||
Input data should not be restricted to a 1.9 format.
|
||||
Input data can be represented in a 1.13 format,that is
|
||||
14 significant bits, one sign and 13 magnitude bits. In
|
||||
the FFT calculation, the data loses a total of (log2 N) -1
|
||||
bits because of shifting. Unconditional scaling results
|
||||
in the same number of bits lost as in the input data scaling.
|
||||
However, it produces more precise results because the
|
||||
FFT starts with more precise input data. The tradeoff is
|
||||
a slower FFT calculation because of the extra cycles needed
|
||||
to shift the output of each stage.
|
||||
|
||||
Source: DSP-Stone
|
||||
http://www.ice.rwth-aachen.de/research/tools-projects/entry/detail/dspstone/
|
||||
|
||||
Original name: fft_1024_13
|
||||
(merged main1024_bit_reduct and fft_bit_reduct from DSP-Stone)
|
||||
|
||||
Changes: no major functional changes
|
||||
|
||||
License: may be used, modified, and re-distributed freely
|
||||
|
||||
*/
|
||||
|
||||
// Wasm loop bounds
|
||||
|
||||
|
||||
#include "fft_input.c"
|
||||
|
||||
|
||||
__attribute__((import_module("__pragma"), import_name("loopbound"))) extern void
|
||||
__pragma_loopbound(unsigned int min_bound, unsigned int max_bound);
|
||||
|
||||
#define N_FFT 1024
|
||||
#define NUMBER_OF_BITS 13 /* fract format 1.NUMBER_OF_BITS = 1.13 */
|
||||
|
||||
#define BITS_PER_TWID 13 /* bits per twiddle coefficient */
|
||||
#define SHIFT BITS_PER_TWID /* fractional shift after each multiplication */
|
||||
|
||||
/*
|
||||
Forward declaration of functions
|
||||
*/
|
||||
|
||||
__attribute__((always_inline)) static inline float fft_exp2f(float x);
|
||||
__attribute__((always_inline)) static inline float fft_modff(float x,
|
||||
float *intpart);
|
||||
__attribute__((always_inline)) static inline int fft_convert(float value);
|
||||
__attribute__((always_inline)) static inline void
|
||||
fft_bit_reduct(register int *int_pointer);
|
||||
__attribute__((always_inline)) static inline void
|
||||
fft_pin_down(int input_data[]);
|
||||
__attribute__((always_inline)) static inline void fft_init(void);
|
||||
__attribute__((noinline)) __attribute__((export_name("entrypoint")))
|
||||
__attribute__((noinline)) __attribute__((export_name("entrypoint"))) void
|
||||
fft_main(void);
|
||||
__attribute__((always_inline)) static inline int fft_return(void);
|
||||
__attribute__((noinline)) __attribute__((export_name("main")))
|
||||
__attribute__((noinline)) __attribute__((export_name("main"))) int
|
||||
main(void);
|
||||
|
||||
/*
|
||||
Forward declaration of global variables
|
||||
*/
|
||||
|
||||
int fft_input_data[2 * N_FFT];
|
||||
|
||||
/* precalculated twiddle factors
|
||||
for an integer 1024 point FFT
|
||||
in format 1.13 => table twidtable[ 2*(N_FFT-1) ] ; */
|
||||
extern int fft_twidtable[2046];
|
||||
|
||||
/* 1024 real values as input data in float format */
|
||||
extern float fft_input[1024];
|
||||
|
||||
/* will hold the transformed data */
|
||||
int fft_inputfract[N_FFT];
|
||||
|
||||
/*
|
||||
Algorithm core function
|
||||
*/
|
||||
|
||||
__attribute__((always_inline)) static inline void
|
||||
fft_bit_reduct(register int *int_pointer) {
|
||||
register int i, j = 0;
|
||||
register int tmpr, max = 2, m, n = N_FFT << 1;
|
||||
|
||||
/* do the bit reversal scramble of the input data */
|
||||
__pragma_loopbound(1024, 1024);
|
||||
for (i = 0; i < (n - 1); i += 2) {
|
||||
if (j > i) {
|
||||
tmpr = *(int_pointer + j);
|
||||
*(int_pointer + j) = *(int_pointer + i);
|
||||
*(int_pointer + i) = tmpr;
|
||||
|
||||
tmpr = *(int_pointer + j + 1);
|
||||
*(int_pointer + j + 1) = *(int_pointer + i + 1);
|
||||
*(int_pointer + i + 1) = tmpr;
|
||||
}
|
||||
|
||||
m = N_FFT;
|
||||
|
||||
__pragma_loopbound(0, 10);
|
||||
while (m >= 2 && j >= m) {
|
||||
j -= m;
|
||||
m >>= 1;
|
||||
}
|
||||
j += m;
|
||||
}
|
||||
|
||||
{
|
||||
register int *data_pointer = &fft_twidtable[0];
|
||||
register int *p, *q;
|
||||
register int tmpi, fr = 0, level, k, l;
|
||||
|
||||
__pragma_loopbound(10, 10);
|
||||
while (n > max) {
|
||||
level = max << 1;
|
||||
|
||||
__pragma_loopbound(1, 512);
|
||||
for (m = 1; m < max; m += 2) {
|
||||
l = *(data_pointer + fr);
|
||||
k = *(data_pointer + fr + 1);
|
||||
fr += 2;
|
||||
|
||||
__pragma_loopbound(1, 512);
|
||||
for (i = m; i <= n; i += level) {
|
||||
j = i + max;
|
||||
p = int_pointer + j;
|
||||
q = int_pointer + i;
|
||||
|
||||
tmpr = l * *(p - 1);
|
||||
tmpr -= (k * *p);
|
||||
|
||||
tmpi = l * *p;
|
||||
tmpi += (k * *(p - 1));
|
||||
|
||||
tmpr = tmpr >> SHIFT;
|
||||
tmpi = tmpi >> SHIFT;
|
||||
|
||||
*(p - 1) = *(q - 1) - tmpr;
|
||||
*p = *q - tmpi;
|
||||
|
||||
*(q - 1) += tmpr;
|
||||
*q += tmpi;
|
||||
}
|
||||
}
|
||||
|
||||
/* implement unconditional bit reduction */
|
||||
|
||||
{
|
||||
register int f;
|
||||
|
||||
p = int_pointer;
|
||||
|
||||
__pragma_loopbound(2048, 2048);
|
||||
for (f = 0; f < 2 * N_FFT; f++) {
|
||||
*p = *p >> 1;
|
||||
p++;
|
||||
}
|
||||
}
|
||||
|
||||
max = level;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
/*
|
||||
Initialization- and return-value-related functions
|
||||
*/
|
||||
|
||||
/* conversion function to 1.NUMBER_OF_BITS format */
|
||||
__attribute__((always_inline)) static inline float
|
||||
fft_exp2f(float x) {
|
||||
int i;
|
||||
float ret = 2.0f;
|
||||
|
||||
__pragma_loopbound(13, 13);
|
||||
for (i = 1; i < x; ++i)
|
||||
ret *= 2.0f;
|
||||
|
||||
return ret;
|
||||
}
|
||||
|
||||
__attribute__((always_inline)) static inline float
|
||||
fft_modff(float x, float *intpart) {
|
||||
if (intpart) {
|
||||
*intpart = (int) x;
|
||||
return x - *intpart;
|
||||
} else
|
||||
return x;
|
||||
}
|
||||
|
||||
/* conversion function to 1.NUMBER_OF_BITS format */
|
||||
__attribute__((always_inline)) static inline int
|
||||
fft_convert(float value) {
|
||||
float man, t_val, frac, m, exponent = NUMBER_OF_BITS;
|
||||
int rnd_val;
|
||||
unsigned long int_val;
|
||||
unsigned long pm_val;
|
||||
|
||||
m = fft_exp2f(exponent + 1) - 1;
|
||||
|
||||
t_val = value * m;
|
||||
frac = fft_modff(t_val, &man);
|
||||
if (frac < 0.0f) {
|
||||
rnd_val = (-1);
|
||||
if (frac > -0.5f)
|
||||
rnd_val = 0;
|
||||
} else {
|
||||
rnd_val = 1;
|
||||
if (frac < 0.5f)
|
||||
rnd_val = 0;
|
||||
}
|
||||
int_val = (long) man + (long) rnd_val;
|
||||
|
||||
pm_val = int_val;
|
||||
return ((int) (pm_val));
|
||||
}
|
||||
|
||||
__attribute__((always_inline)) static inline void
|
||||
fft_float2fract(void) {
|
||||
float f;
|
||||
int j, i;
|
||||
|
||||
__pragma_loopbound(1024, 1024);
|
||||
for (j = 0; j < N_FFT; j++) {
|
||||
f = fft_input[j];
|
||||
i = fft_convert(f);
|
||||
fft_inputfract[j] = i;
|
||||
}
|
||||
}
|
||||
|
||||
__attribute__((always_inline)) static inline void
|
||||
fft_pin_down(int input_data[]) {
|
||||
/* conversion from input to a 1.13 format */
|
||||
fft_float2fract();
|
||||
|
||||
int *pd, *ps, f;
|
||||
|
||||
pd = &input_data[0];
|
||||
ps = &fft_inputfract[0];
|
||||
|
||||
__pragma_loopbound(1024, 1024);
|
||||
for (f = 0; f < N_FFT; f++) {
|
||||
*pd++ = *ps++; /* fill in with real data */
|
||||
*pd++ = 0; /* imaginary data is equal zero */
|
||||
}
|
||||
}
|
||||
|
||||
__attribute__((always_inline)) static inline void
|
||||
fft_init(void) {
|
||||
int i;
|
||||
volatile int x = 0;
|
||||
|
||||
fft_pin_down(&fft_input_data[0]);
|
||||
|
||||
/* avoid constant propagation of input values */
|
||||
__pragma_loopbound(2046, 2046);
|
||||
for (i = 0; i < 2 * (N_FFT - 1); i++) {
|
||||
fft_input_data[i] += x;
|
||||
fft_twidtable[i] += x;
|
||||
}
|
||||
__pragma_loopbound(2, 2);
|
||||
for (; i < 2 * N_FFT; i++)
|
||||
fft_input_data[i] += x;
|
||||
}
|
||||
|
||||
__attribute__((always_inline)) static inline int
|
||||
fft_return(void) {
|
||||
int check_sum = 0;
|
||||
int i = 0;
|
||||
|
||||
__pragma_loopbound(2048, 2048);
|
||||
for (i = 0; i < 2 * N_FFT; ++i)
|
||||
check_sum += fft_input_data[i];
|
||||
|
||||
return check_sum != 3968;
|
||||
}
|
||||
|
||||
/*
|
||||
Main functions
|
||||
*/
|
||||
|
||||
__attribute__((noinline)) __attribute__((export_name("entrypoint")))
|
||||
__attribute__((noinline)) __attribute__((export_name("entrypoint"))) void
|
||||
fft_main(void) {
|
||||
fft_bit_reduct(&fft_input_data[0]);
|
||||
}
|
||||
|
||||
__attribute__((noinline)) __attribute__((export_name("main")))
|
||||
__attribute__((noinline)) __attribute__((export_name("main"))) int
|
||||
main(void) {
|
||||
fft_init();
|
||||
|
||||
fft_main();
|
||||
|
||||
return fft_return();
|
||||
}
|
||||
@ -0,0 +1,320 @@
|
||||
|
||||
|
||||
int fft_twidtable[2046] = {
|
||||
8192, 0, 8192, 0, 0, -8192, 8192, 0, 5792, -5792, 0,
|
||||
-8191, -5792, -5792, 8192, 0, 7568, -3134, 5792, -5792, 3134, -7568,
|
||||
0, -8192, -3134, -7568, -5792, -5792, -7568, -3134, 8192, 0, 8034,
|
||||
-1598, 7568, -3134, 6811, -4551, 5792, -5792, 4551, -6811, 3134, -7568,
|
||||
1598, -8034, 0, -8192, -1598, -8034, -3134, -7568, -4551, -6811, -5792,
|
||||
-5792, -6811, -4551, -7568, -3134, -8034, -1598, 8192, 0, 8152, -802,
|
||||
8034, -1598, 7839, -2378, 7568, -3134, 7224, -3861, 6811, -4551, 6332,
|
||||
-5196, 5792, -5792, 5196, -6332, 4551, -6811, 3861, -7224, 3134, -7568,
|
||||
2378, -7839, 1598, -8034, 802, -8152, 0, -8191, -802, -8152, -1598,
|
||||
-8034, -2378, -7839, -3134, -7568, -3861, -7224, -4551, -6811, -5196, -6332,
|
||||
-5792, -5792, -6332, -5196, -6811, -4551, -7224, -3861, -7568, -3134, -7839,
|
||||
-2378, -8034, -1598, -8152, -802, 8192, 0, 8182, -401, 8152, -802,
|
||||
8103, -1202, 8034, -1598, 7946, -1990, 7839, -2378, 7713, -2759, 7568,
|
||||
-3134, 7405, -3502, 7224, -3861, 7026, -4211, 6811, -4551, 6579, -4879,
|
||||
6332, -5196, 6069, -5501, 5792, -5792, 5501, -6069, 5196, -6332, 4879,
|
||||
-6579, 4551, -6811, 4211, -7026, 3861, -7224, 3502, -7405, 3134, -7568,
|
||||
2759, -7713, 2378, -7839, 1990, -7946, 1598, -8034, 1202, -8103, 802,
|
||||
-8152, 401, -8182, 0, -8192, -401, -8182, -802, -8152, -1202, -8103,
|
||||
-1598, -8034, -1990, -7946, -2378, -7839, -2759, -7713, -3134, -7568, -3502,
|
||||
-7405, -3861, -7224, -4211, -7026, -4551, -6811, -4879, -6579, -5196, -6332,
|
||||
-5501, -6069, -5792, -5792, -6069, -5501, -6332, -5196, -6579, -4879, -6811,
|
||||
-4551, -7026, -4211, -7224, -3861, -7405, -3502, -7568, -3134, -7713, -2759,
|
||||
-7839, -2378, -7946, -1990, -8034, -1598, -8103, -1202, -8152, -802, -8182,
|
||||
-401, 8192, 0, 8189, -201, 8182, -401, 8169, -602, 8152, -802,
|
||||
8130, -1002, 8103, -1202, 8071, -1400, 8034, -1598, 7992, -1794, 7946,
|
||||
-1990, 7895, -2184, 7839, -2378, 7778, -2569, 7713, -2759, 7643, -2948,
|
||||
7568, -3134, 7489, -3319, 7405, -3502, 7317, -3683, 7224, -3861, 7127,
|
||||
-4037, 7026, -4211, 6921, -4382, 6811, -4551, 6697, -4717, 6579, -4879,
|
||||
6458, -5039, 6332, -5196, 6203, -5350, 6069, -5501, 5933, -5648, 5792,
|
||||
-5792, 5648, -5933, 5501, -6069, 5350, -6203, 5196, -6332, 5039, -6458,
|
||||
4879, -6579, 4717, -6697, 4551, -6811, 4382, -6921, 4211, -7026, 4037,
|
||||
-7127, 3861, -7224, 3683, -7317, 3502, -7405, 3319, -7489, 3134, -7568,
|
||||
2948, -7643, 2759, -7713, 2569, -7778, 2378, -7839, 2184, -7895, 1990,
|
||||
-7946, 1794, -7992, 1598, -8034, 1400, -8071, 1202, -8103, 1002, -8130,
|
||||
802, -8152, 602, -8169, 401, -8182, 201, -8189, 0, -8192, -201,
|
||||
-8189, -401, -8182, -602, -8169, -802, -8152, -1002, -8130, -1202, -8103,
|
||||
-1400, -8071, -1598, -8034, -1794, -7992, -1990, -7946, -2184, -7895, -2378,
|
||||
-7839, -2569, -7778, -2759, -7713, -2948, -7643, -3134, -7568, -3319, -7489,
|
||||
-3502, -7405, -3683, -7317, -3861, -7224, -4037, -7127, -4211, -7026, -4382,
|
||||
-6921, -4551, -6811, -4717, -6697, -4879, -6579, -5039, -6458, -5196, -6332,
|
||||
-5350, -6203, -5501, -6069, -5648, -5933, -5792, -5792, -5933, -5648, -6069,
|
||||
-5501, -6203, -5350, -6332, -5196, -6458, -5039, -6579, -4879, -6697, -4717,
|
||||
-6811, -4551, -6921, -4382, -7026, -4211, -7127, -4037, -7224, -3861, -7317,
|
||||
-3683, -7405, -3502, -7489, -3319, -7568, -3134, -7643, -2948, -7713, -2759,
|
||||
-7778, -2569, -7839, -2378, -7895, -2184, -7946, -1990, -7992, -1794, -8034,
|
||||
-1598, -8071, -1400, -8103, -1202, -8130, -1002, -8152, -802, -8169, -602,
|
||||
-8182, -401, -8189, -201, 8192, 0, 8191, -100, 8189, -201, 8186,
|
||||
-301, 8182, -401, 8176, -502, 8169, -602, 8161, -702, 8152, -802,
|
||||
8142, -902, 8130, -1002, 8117, -1102, 8103, -1202, 8087, -1301, 8071,
|
||||
-1400, 8053, -1499, 8034, -1598, 8014, -1696, 7992, -1794, 7970, -1892,
|
||||
7946, -1990, 7921, -2087, 7895, -2184, 7867, -2281, 7839, -2378, 7809,
|
||||
-2474, 7778, -2569, 7746, -2664, 7713, -2759, 7678, -2854, 7643, -2948,
|
||||
7606, -3041, 7568, -3134, 7529, -3227, 7489, -3319, 7447, -3411, 7405,
|
||||
-3502, 7361, -3593, 7317, -3683, 7271, -3772, 7224, -3861, 7176, -3950,
|
||||
7127, -4037, 7077, -4124, 7026, -4211, 6974, -4297, 6921, -4382, 6866,
|
||||
-4467, 6811, -4551, 6755, -4634, 6697, -4717, 6639, -4798, 6579, -4879,
|
||||
6519, -4960, 6458, -5039, 6395, -5118, 6332, -5196, 6268, -5274, 6203,
|
||||
-5350, 6136, -5426, 6069, -5501, 6001, -5575, 5933, -5648, 5863, -5721,
|
||||
5792, -5792, 5721, -5863, 5648, -5933, 5575, -6001, 5501, -6069, 5426,
|
||||
-6136, 5350, -6203, 5274, -6268, 5196, -6332, 5118, -6395, 5039, -6458,
|
||||
4960, -6519, 4879, -6579, 4798, -6639, 4717, -6697, 4634, -6755, 4551,
|
||||
-6811, 4467, -6866, 4382, -6921, 4297, -6974, 4211, -7026, 4124, -7077,
|
||||
4037, -7127, 3950, -7176, 3861, -7224, 3772, -7271, 3683, -7317, 3593,
|
||||
-7361, 3502, -7405, 3411, -7447, 3319, -7489, 3227, -7529, 3134, -7568,
|
||||
3041, -7606, 2948, -7643, 2854, -7678, 2759, -7713, 2664, -7746, 2569,
|
||||
-7778, 2474, -7809, 2378, -7839, 2281, -7867, 2184, -7895, 2087, -7921,
|
||||
1990, -7946, 1892, -7970, 1794, -7992, 1696, -8014, 1598, -8034, 1499,
|
||||
-8053, 1400, -8071, 1301, -8087, 1202, -8103, 1102, -8117, 1002, -8130,
|
||||
902, -8142, 802, -8152, 702, -8161, 602, -8169, 502, -8176, 401,
|
||||
-8182, 301, -8186, 201, -8189, 100, -8191, 0, -8192, -100, -8191,
|
||||
-201, -8189, -301, -8186, -401, -8182, -502, -8176, -602, -8169, -702,
|
||||
-8161, -802, -8152, -902, -8142, -1002, -8130, -1102, -8117, -1202, -8103,
|
||||
-1301, -8087, -1400, -8071, -1499, -8053, -1598, -8034, -1696, -8014, -1794,
|
||||
-7992, -1892, -7970, -1990, -7946, -2087, -7921, -2184, -7895, -2281, -7867,
|
||||
-2378, -7839, -2474, -7809, -2569, -7778, -2664, -7746, -2759, -7713, -2854,
|
||||
-7678, -2948, -7643, -3041, -7606, -3134, -7568, -3227, -7529, -3319, -7489,
|
||||
-3411, -7447, -3502, -7405, -3593, -7361, -3683, -7317, -3772, -7271, -3861,
|
||||
-7224, -3950, -7176, -4037, -7127, -4124, -7077, -4211, -7026, -4297, -6974,
|
||||
-4382, -6921, -4467, -6866, -4551, -6811, -4634, -6755, -4717, -6697, -4798,
|
||||
-6639, -4879, -6579, -4960, -6519, -5039, -6458, -5118, -6395, -5196, -6332,
|
||||
-5274, -6268, -5350, -6203, -5426, -6136, -5501, -6069, -5575, -6001, -5648,
|
||||
-5933, -5721, -5863, -5792, -5792, -5863, -5721, -5933, -5648, -6001, -5575,
|
||||
-6069, -5501, -6136, -5426, -6203, -5350, -6268, -5274, -6332, -5196, -6395,
|
||||
-5118, -6458, -5039, -6519, -4960, -6579, -4879, -6639, -4798, -6697, -4717,
|
||||
-6755, -4634, -6811, -4551, -6866, -4467, -6921, -4382, -6974, -4297, -7026,
|
||||
-4211, -7077, -4124, -7127, -4037, -7176, -3950, -7224, -3861, -7271, -3772,
|
||||
-7317, -3683, -7361, -3593, -7405, -3502, -7447, -3411, -7489, -3319, -7529,
|
||||
-3227, -7568, -3134, -7606, -3041, -7643, -2948, -7678, -2854, -7713, -2759,
|
||||
-7746, -2664, -7778, -2569, -7809, -2474, -7839, -2378, -7867, -2281, -7895,
|
||||
-2184, -7921, -2087, -7946, -1990, -7970, -1892, -7992, -1794, -8014, -1696,
|
||||
-8034, -1598, -8053, -1499, -8071, -1400, -8087, -1301, -8103, -1202, -8117,
|
||||
-1102, -8130, -1002, -8142, -902, -8152, -802, -8161, -702, -8169, -602,
|
||||
-8176, -502, -8182, -401, -8186, -301, -8189, -201, -8191, -100, 8192,
|
||||
0, 8191, -50, 8191, -100, 8190, -150, 8189, -201, 8188, -251,
|
||||
8186, -301, 8184, -351, 8182, -401, 8179, -452, 8176, -502, 8173,
|
||||
-552, 8169, -602, 8165, -652, 8161, -702, 8157, -752, 8152, -802,
|
||||
8147, -852, 8142, -902, 8136, -952, 8130, -1002, 8124, -1052, 8117,
|
||||
-1102, 8110, -1152, 8103, -1202, 8095, -1251, 8087, -1301, 8079, -1350,
|
||||
8071, -1400, 8062, -1450, 8053, -1499, 8044, -1548, 8034, -1598, 8024,
|
||||
-1647, 8014, -1696, 8003, -1745, 7992, -1794, 7981, -1843, 7970, -1892,
|
||||
7958, -1941, 7946, -1990, 7934, -2039, 7921, -2087, 7908, -2136, 7895,
|
||||
-2184, 7881, -2233, 7867, -2281, 7853, -2329, 7839, -2378, 7824, -2426,
|
||||
7809, -2474, 7794, -2521, 7778, -2569, 7762, -2617, 7746, -2664, 7729,
|
||||
-2712, 7713, -2759, 7696, -2807, 7678, -2854, 7661, -2901, 7643, -2948,
|
||||
7624, -2995, 7606, -3041, 7587, -3088, 7568, -3134, 7549, -3181, 7529,
|
||||
-3227, 7509, -3273, 7489, -3319, 7468, -3365, 7447, -3411, 7426, -3457,
|
||||
7405, -3502, 7383, -3547, 7361, -3593, 7339, -3638, 7317, -3683, 7294,
|
||||
-3728, 7271, -3772, 7248, -3817, 7224, -3861, 7200, -3905, 7176, -3950,
|
||||
7152, -3994, 7127, -4037, 7102, -4081, 7077, -4124, 7052, -4168, 7026,
|
||||
-4211, 7000, -4254, 6974, -4297, 6947, -4340, 6921, -4382, 6894, -4425,
|
||||
6866, -4467, 6839, -4509, 6811, -4551, 6783, -4592, 6755, -4634, 6726,
|
||||
-4675, 6697, -4717, 6668, -4758, 6639, -4798, 6609, -4839, 6579, -4879,
|
||||
6549, -4920, 6519, -4960, 6488, -5000, 6458, -5039, 6427, -5079, 6395,
|
||||
-5118, 6364, -5157, 6332, -5196, 6300, -5235, 6268, -5274, 6235, -5312,
|
||||
6203, -5350, 6170, -5388, 6136, -5426, 6103, -5464, 6069, -5501, 6036,
|
||||
-5538, 6001, -5575, 5967, -5612, 5933, -5648, 5898, -5685, 5863, -5721,
|
||||
5828, -5756, 5792, -5792, 5756, -5828, 5721, -5863, 5685, -5898, 5648,
|
||||
-5933, 5612, -5967, 5575, -6001, 5538, -6036, 5501, -6069, 5464, -6103,
|
||||
5426, -6136, 5388, -6170, 5350, -6203, 5312, -6235, 5274, -6268, 5235,
|
||||
-6300, 5196, -6332, 5157, -6364, 5118, -6395, 5079, -6427, 5039, -6458,
|
||||
5000, -6488, 4960, -6519, 4920, -6549, 4879, -6579, 4839, -6609, 4798,
|
||||
-6639, 4758, -6668, 4717, -6697, 4675, -6726, 4634, -6755, 4592, -6783,
|
||||
4551, -6811, 4509, -6839, 4467, -6866, 4425, -6894, 4382, -6921, 4340,
|
||||
-6947, 4297, -6974, 4254, -7000, 4211, -7026, 4168, -7052, 4124, -7077,
|
||||
4081, -7102, 4037, -7127, 3994, -7152, 3950, -7176, 3905, -7200, 3861,
|
||||
-7224, 3817, -7248, 3772, -7271, 3728, -7294, 3683, -7317, 3638, -7339,
|
||||
3593, -7361, 3547, -7383, 3502, -7405, 3457, -7426, 3411, -7447, 3365,
|
||||
-7468, 3319, -7489, 3273, -7509, 3227, -7529, 3181, -7549, 3134, -7568,
|
||||
3088, -7587, 3041, -7606, 2995, -7624, 2948, -7643, 2901, -7661, 2854,
|
||||
-7678, 2807, -7696, 2759, -7713, 2712, -7729, 2664, -7746, 2617, -7762,
|
||||
2569, -7778, 2521, -7794, 2474, -7809, 2426, -7824, 2378, -7839, 2329,
|
||||
-7853, 2281, -7867, 2233, -7881, 2184, -7895, 2136, -7908, 2087, -7921,
|
||||
2039, -7934, 1990, -7946, 1941, -7958, 1892, -7970, 1843, -7981, 1794,
|
||||
-7992, 1745, -8003, 1696, -8014, 1647, -8024, 1598, -8034, 1548, -8044,
|
||||
1499, -8053, 1450, -8062, 1400, -8071, 1350, -8079, 1301, -8087, 1251,
|
||||
-8095, 1202, -8103, 1152, -8110, 1102, -8117, 1052, -8124, 1002, -8130,
|
||||
952, -8136, 902, -8142, 852, -8147, 802, -8152, 752, -8157, 702,
|
||||
-8161, 652, -8165, 602, -8169, 552, -8173, 502, -8176, 452, -8179,
|
||||
401, -8182, 351, -8184, 301, -8186, 251, -8188, 201, -8189, 150,
|
||||
-8190, 100, -8191, 50, -8191, 0, -8191, -50, -8191, -100, -8191,
|
||||
-150, -8190, -201, -8189, -251, -8188, -301, -8186, -351, -8184, -401,
|
||||
-8182, -452, -8179, -502, -8176, -552, -8173, -602, -8169, -652, -8165,
|
||||
-702, -8161, -752, -8157, -802, -8152, -852, -8147, -902, -8142, -952,
|
||||
-8136, -1002, -8130, -1052, -8124, -1102, -8117, -1152, -8110, -1202, -8103,
|
||||
-1251, -8095, -1301, -8087, -1350, -8079, -1400, -8071, -1450, -8062, -1499,
|
||||
-8053, -1548, -8044, -1598, -8034, -1647, -8024, -1696, -8014, -1745, -8003,
|
||||
-1794, -7992, -1843, -7981, -1892, -7970, -1941, -7958, -1990, -7946, -2039,
|
||||
-7934, -2087, -7921, -2136, -7908, -2184, -7895, -2233, -7881, -2281, -7867,
|
||||
-2329, -7853, -2378, -7839, -2426, -7824, -2474, -7809, -2521, -7794, -2569,
|
||||
-7778, -2617, -7762, -2664, -7746, -2712, -7729, -2759, -7713, -2807, -7696,
|
||||
-2854, -7678, -2901, -7661, -2948, -7643, -2995, -7624, -3041, -7606, -3088,
|
||||
-7587, -3134, -7568, -3181, -7549, -3227, -7529, -3273, -7509, -3319, -7489,
|
||||
-3365, -7468, -3411, -7447, -3457, -7426, -3502, -7405, -3547, -7383, -3593,
|
||||
-7361, -3638, -7339, -3683, -7317, -3728, -7294, -3772, -7271, -3817, -7248,
|
||||
-3861, -7224, -3905, -7200, -3950, -7176, -3994, -7152, -4037, -7127, -4081,
|
||||
-7102, -4124, -7077, -4168, -7052, -4211, -7026, -4254, -7000, -4297, -6974,
|
||||
-4340, -6947, -4382, -6921, -4425, -6894, -4467, -6866, -4509, -6839, -4551,
|
||||
-6811, -4592, -6783, -4634, -6755, -4675, -6726, -4717, -6697, -4758, -6668,
|
||||
-4798, -6639, -4839, -6609, -4879, -6579, -4920, -6549, -4960, -6519, -5000,
|
||||
-6488, -5039, -6458, -5079, -6427, -5118, -6395, -5157, -6364, -5196, -6332,
|
||||
-5235, -6300, -5274, -6268, -5312, -6235, -5350, -6203, -5388, -6170, -5426,
|
||||
-6136, -5464, -6103, -5501, -6069, -5538, -6035, -5575, -6001, -5612, -5967,
|
||||
-5648, -5933, -5685, -5898, -5721, -5863, -5756, -5828, -5792, -5792, -5828,
|
||||
-5756, -5863, -5721, -5898, -5685, -5933, -5648, -5967, -5612, -6001, -5575,
|
||||
-6036, -5538, -6069, -5501, -6103, -5464, -6136, -5426, -6170, -5388, -6203,
|
||||
-5350, -6235, -5312, -6268, -5274, -6300, -5235, -6332, -5196, -6364, -5157,
|
||||
-6395, -5118, -6427, -5079, -6458, -5039, -6488, -5000, -6519, -4960, -6549,
|
||||
-4920, -6579, -4879, -6609, -4839, -6639, -4798, -6668, -4758, -6697, -4717,
|
||||
-6726, -4675, -6755, -4634, -6783, -4592, -6811, -4551, -6839, -4509, -6866,
|
||||
-4467, -6894, -4425, -6921, -4382, -6947, -4340, -6974, -4297, -7000, -4254,
|
||||
-7026, -4211, -7052, -4168, -7077, -4124, -7102, -4081, -7127, -4037, -7152,
|
||||
-3994, -7176, -3950, -7200, -3905, -7224, -3861, -7248, -3817, -7271, -3772,
|
||||
-7294, -3728, -7317, -3683, -7339, -3638, -7361, -3593, -7383, -3547, -7405,
|
||||
-3502, -7426, -3457, -7447, -3411, -7468, -3365, -7489, -3319, -7509, -3273,
|
||||
-7529, -3227, -7549, -3181, -7568, -3134, -7587, -3088, -7606, -3041, -7624,
|
||||
-2995, -7643, -2948, -7661, -2901, -7678, -2854, -7696, -2807, -7713, -2759,
|
||||
-7729, -2712, -7746, -2664, -7762, -2617, -7778, -2569, -7794, -2521, -7809,
|
||||
-2474, -7824, -2426, -7839, -2378, -7853, -2329, -7867, -2281, -7881, -2233,
|
||||
-7895, -2184, -7908, -2136, -7921, -2087, -7934, -2039, -7946, -1990, -7958,
|
||||
-1941, -7970, -1892, -7981, -1843, -7992, -1794, -8003, -1745, -8014, -1696,
|
||||
-8024, -1647, -8034, -1598, -8044, -1548, -8053, -1499, -8062, -1450, -8071,
|
||||
-1400, -8079, -1350, -8087, -1301, -8095, -1251, -8103, -1202, -8110, -1152,
|
||||
-8117, -1102, -8124, -1052, -8130, -1002, -8136, -952, -8142, -902, -8147,
|
||||
-852, -8152, -802, -8157, -752, -8161, -702, -8165, -652, -8169, -602,
|
||||
-8173, -552, -8176, -502, -8179, -452, -8182, -401, -8184, -351, -8186,
|
||||
-301, -8188, -251, -8189, -201, -8190, -150, -8191, -100, -8191, -50};
|
||||
|
||||
/* 1024 real values as input data in float format */
|
||||
float fft_input[1024] = {
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f,
|
||||
0.243f, 0.323f, 0.505f, -0.176f, -0.87f, 0.353f, -0.344f, -0.443f,
|
||||
-0.434f, -0.32f, 0.232f, -0.454f, -0.32f, -0.323f, -0.733f, 0.54f};
|
||||
Reference in New Issue
Block a user