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376 | with Ada.Text_IO; use Ada.Text_IO;
with Ada.Text_IO.C_Streams;
with Ada.Long_Float_Text_IO; use Ada.Long_Float_Text_IO;
with Ada.Integer_Text_IO; use Ada.Integer_Text_IO;
with Interfaces.C; use Interfaces.C;
with Interfaces.C.Strings; use Interfaces.C.Strings;
with Ada.Strings.Unbounded; use Ada.Strings.Unbounded;
with Ada.Command_Line; use Ada.Command_Line;
with Ada.Numerics.Elementary_Functions ; use Ada.Numerics.Elementary_Functions ;
with GNAT.Source_Info; use GNAT.Source_Info;
with gsl ;
with gsl.complex ;
with gsl.complex.math;
with gsl.fft.complex ;
with gsl.fft.real ;
with gsl.fft.halfcomplex ;
with ehandler ;
procedure Fft is
use gsl.double_text_io;
verbose : boolean := true;
Status : Int ;
procedure Sep is
begin
Put(" ; ");
end Sep ;
procedure Complex_Print( c : gsl.complex.gsl_complex ) is
begin
Put( gsl.complex.Re(c) ); Sep ;
Put( gsl.complex.Im(c) ); Sep ;
Put( gsl.complex.math.cabs(c)); Sep ;
Put( gsl.complex.math.arg(c)); Sep;
end Complex_Print ;
procedure T1 is
myname : String := gnat.Source_Info.enclosing_entity ;
logfile : File_Type ;
N : constant := 128 ;
NSqrt : constant double := double(Sqrt( float(N) )) ;
data : gsl.complex.gsl_complex_complex_array(0..N-1) := (others => (0.0,0.0) );
temp : gsl.complex.gsl_complex ;
begin
if Verbose
then
Put_Line(myname);
end if ;
data(0) := (1.0,0.0) ;
for i in 1..10
loop
data(i) := (1.0,0.0) ;
data(N-i) := (1.0,0.0) ;
end loop ;
Create(logfile,Out_File,myname & ".csv");
Set_Output(logfile);
for i in data'range
loop
Put(i) ; Sep ;
Complex_Print(data(i));
New_Line;
end loop ;
Set_Output(Standard_Output);
Close(logfile);
Status := gsl.fft.complex.radix2_forward( data , 1 , data'Length );
Create(logfile,Out_File,myname & ".fft.csv");
Set_Output(logfile);
for i in data'range
loop
temp := gsl.complex.math.div_real(data(i) , NSqrt );
data(i) := temp ;
Put(i) ; Sep ;
Complex_Print(temp);
New_Line;
end loop ;
Set_Output(Standard_Output);
Close(logfile);
Status := gsl.fft.complex.radix2_backward( data , 1 , data'Length );
Create(logfile,Out_File,myname & ".rfft.csv");
Set_Output(logfile);
for i in data'range
loop
Put(i) ; Sep ;
temp := gsl.complex.math.div_real(data(i) , NSqrt );
data(i) := temp ;
Complex_Print(data(i));
New_Line;
end loop ;
Set_Output(Standard_Output);
Close(logfile);
end T1 ;
procedure T2 is
myname : String := gnat.Source_Info.enclosing_entity ;
logfile : File_Type ;
N : constant := 630 ;
NSqrt : constant double := double(Sqrt( float(N) )) ;
data : gsl.complex.gsl_complex_complex_array(0..N-1) := (others => (0.0,0.0) );
temp : gsl.complex.gsl_complex ;
wt : access gsl.fft.complex.gsl_fft_complex_wavetable;
ws : access gsl.fft.complex.gsl_fft_complex_workspace;
begin
if Verbose
then
Put_Line(myname);
end if ;
data(0) := (1.0,0.0) ;
for i in 1..10
loop
data(i) := (1.0,0.0) ;
data(N-i) := (1.0,0.0) ;
end loop ;
wt := gsl.fft.complex.wavetable_alloc(N);
ws := gsl.fft.complex.workspace_alloc(N);
Create(logfile,Out_File,myname & ".csv");
Set_Output(logfile);
for i in data'range
loop
Put(i) ; Sep ;
Complex_Print(data(i));
New_Line;
end loop ;
Set_Output(Standard_Output);
Close(logfile);
Status := gsl.fft.complex.forward( data , 1 , data'Length , wt , ws );
Create(logfile,Out_File,myname & ".fft.csv");
Set_Output(logfile);
for i in data'range
loop
temp := gsl.complex.math.div_real(data(i) , NSqrt );
data(i) := temp ;
Put(i) ; Sep ;
Complex_Print(temp);
New_Line;
end loop ;
Set_Output(Standard_Output);
Close(logfile);
Status := gsl.fft.complex.backward( data , 1 , data'Length , wt , ws );
Create(logfile,Out_File,myname & ".rfft.csv");
Set_Output(logfile);
for i in data'range
loop
Put(i) ; Sep ;
temp := gsl.complex.math.div_real(data(i) , NSqrt );
data(i) := temp ;
Complex_Print(data(i));
New_Line;
end loop ;
Set_Output(Standard_Output);
Close(logfile);
gsl.fft.complex.workspace_free(Ws);
gsl.fft.complex.wavetable_free(wt);
end T2 ;
procedure T3 is
myname : String := gnat.Source_Info.enclosing_entity ;
logfile : File_Type ;
N : constant := 100 ;
NSqrt : constant double := double(Sqrt( float(N) )) ;
data : gsl.complex.gsl_complex_complex_array(0..N-1) := (others => (0.0,0.0) );
temp : gsl.complex.gsl_complex ;
begin
if Verbose
then
Put_Line(myname);
end if ;
data(0) := (1.0,0.0) ;
for i in 1..10
loop
data(i) := (1.0,0.0) ;
data(N-i) := (1.0,0.0) ;
end loop ;
ehandler.Setup ;
Create(logfile,Out_File,myname & ".csv");
Set_Output(logfile);
for i in data'range
loop
Put(i) ; Sep ;
Complex_Print(data(i));
New_Line;
end loop ;
Set_Output(Standard_Output);
Close(logfile);
begin
Status := gsl.fft.complex.radix2_forward( data , 1 , data'Length );
exception
when others =>
Put("Exception in "); Put(myname); Put(" exiting..."); New_Line ;
ehandler.Reset ;
return ;
end ;
Create(logfile,Out_File,myname & ".fft.csv");
Set_Output(logfile);
for i in data'range
loop
temp := gsl.complex.math.div_real(data(i) , NSqrt );
data(i) := temp ;
Put(i) ; Sep ;
Complex_Print(temp);
New_Line;
end loop ;
Set_Output(Standard_Output);
Close(logfile);
Status := gsl.fft.complex.radix2_backward( data , 1 , data'Length );
Create(logfile,Out_File,myname & ".rfft.csv");
Set_Output(logfile);
for i in data'range
loop
Put(i) ; Sep ;
temp := gsl.complex.math.div_real(data(i) , NSqrt );
data(i) := temp ;
Complex_Print(data(i));
New_Line;
end loop ;
Set_Output(Standard_Output);
Close(logfile);
end T3 ;
procedure T4 is
myname : String := gnat.Source_Info.enclosing_entity ;
logfile : File_Type ;
N : constant := 128 ;
--NSqrt : constant double := double(Sqrt( float(N) )) ;
data : gsl.double_array(0..N-1) := (others => 0.0);
ws : access gsl.fft.real.gsl_fft_real_workspace;
wt : access gsl.fft.real.gsl_fft_real_wavetable;
wth : access gsl.fft.halfcomplex.gsl_fft_halfcomplex_wavetable;
begin
if Verbose
then
Put_Line(myname);
end if ;
for i in N/3 .. 2 * N/3
loop
data(i) := 1.0 ;
end loop ;
Create(logfile,Out_File,myname & ".csv");
Set_Output(logfile);
for i in data'range
loop
Put(i) ; Sep ;
Put(data(i));
New_Line;
end loop ;
Set_Output(Standard_Output);
Close(logfile);
ws := gsl.fft.real.workspace_alloc(N);
wt := gsl.fft.real.wavetable_alloc(N);
wth := gsl.fft.halfcomplex.wavetable_alloc(N);
Status := gsl.fft.real.transform(data,1,N,wt,ws);
-- Low pass filter
for i in 11..data'Last
loop
data(i) := 0.0 ;
end loop ;
Status := gsl.fft.halfcomplex.inverse(data,1,N,wth,ws);
Create(logfile,Out_File,myname & ".filtered.csv");
Set_Output(logfile);
for i in data'range
loop
Put(i) ; Sep ;
Put(data(i));
New_Line;
end loop ;
Set_Output(Standard_Output);
Close(logfile);
gsl.fft.halfcomplex.wavetable_free(wth);
gsl.fft.real.wavetable_free(wt);
gsl.fft.real.workspace_free(ws);
end T4 ;
procedure T5 is
myname : String := gnat.Source_Info.enclosing_entity ;
logfile : File_Type ;
N : constant := 256 ;
--NSqrt : constant double := double(Sqrt( float(N) )) ;
data : gsl.double_array(0..N-1) := (others => 0.0);
freqs : gsl.complex.gsl_complex_complex_array(0..N-1) := (others => (0.0,0.0)) ;
t : double := 0.0 ;
tdelta : double := 1.0/double(N) ;
ws : access gsl.fft.real.gsl_fft_real_workspace;
wt : access gsl.fft.real.gsl_fft_real_wavetable;
wth : access gsl.fft.halfcomplex.gsl_fft_halfcomplex_wavetable;
begin
if Verbose
then
Put_Line(myname);
end if ;
for i in data'Range
loop
data(i) := double(Sin(Float(Ada.Numerics.Pi * 2.0 * t))) +
2.0 * double(Sin(Float(Ada.Numerics.Pi * 8.0 * t))) ;
t := t + tdelta ;
end loop ;
Create(logfile,Out_File,myname & ".csv");
Set_Output(logfile);
for i in data'range
loop
Put(i) ; Sep ;
Put(data(i));
New_Line;
end loop ;
Set_Output(Standard_Output);
Close(logfile);
ws := gsl.fft.real.workspace_alloc(N);
wt := gsl.fft.real.wavetable_alloc(N);
wth := gsl.fft.halfcomplex.wavetable_alloc(N);
Status := gsl.fft.real.transform(data,1,N,wt,ws);
Status := gsl.fft.halfcomplex.unpack(data,freqs,1,N);
Create(logfile,Out_File,myname & ".freq.csv");
Set_Output(logfile);
for i in 1..16
loop
Put(i) ; Sep ;
Put(data(i)); Sep ;
Complex_Print(freqs(i));
Put(gsl.complex.math.cabs(freqs(i))*2.0/double(N)) ;
New_Line;
end loop ;
Set_Output(Standard_Output);
Close(logfile);
Status := gsl.fft.halfcomplex.inverse(data,1,N,wth,ws);
Create(logfile,Out_File,myname & ".filtered.csv");
Set_Output(logfile);
for i in data'range
loop
Put(i) ; Sep ;
Put(data(i));
New_Line;
end loop ;
Set_Output(Standard_Output);
Close(logfile);
gsl.fft.halfcomplex.wavetable_free(wth);
gsl.fft.real.wavetable_free(wt);
gsl.fft.real.workspace_free(ws);
end T5 ;
begin
T1 ;
T2 ;
T3 ;
T4 ;
T5 ;
end Fft;
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