You can enlarge any detail from the Mandelbrot-Area in different colors up to the 80-bit-resolution of the
numbers of your computer by marking an area in the graphic with the mouse. The result are fascinating graphics with
nearly inexhaustible variety. It is possible to store calculated pictures as bmp-file, open it with Paint, view and print.
The largeness of the bmp-files depends upon your video-hardware.
In close cooperation with ChatGPT from OpenAI, I have developed a Mathematica program that processes and decodes the DCF77-signal from a
750 Hz AM-signal.
fftdll - a library for windows, for scientific computation
This fft.dll contains 18 procedures to solve problems around FFTs.
The procedures use SSE2-instructions of the Pentium and FPU-instructions.
The real-data-computations are all made within the 80-Bit-FPU-registers.
For integer-computations SSE2 instructions and XMM-registers are used.
Some procedures requires complex input-data as explained.
In Delphi this procedures will be declared as follows, for other high-level-languages
refer to manual:
procedure TestHello();stdcall;external 'fft.dll';
or
procedure real32fft(lpFileName:PChar,lpError:Pointer);stdcall;external 'fft.dll'
- TestHello();
returns a message-box that the fft.dll is loaded correctly
real32fft(lpFileNameString,lpdwErrVar);
makes a FFT of a file of 4-Byte-Short-Reals with real data
(n=2^k real numbers)
invreal32fft(lpFileNameString,lpdwErrVar);
makes an inverse FFT of a file of 4-Byte-Short-Reals with complex data
(n=2^(k-1) real numbers and 2^(k-1) complex numbers)
hanning32(lpFileNameString,lpdwErrVar);
valuates a file of 4-Byte-Short-Reals with the Hanning-Valuation
- invhanning32(lpFileNameString,lpdwErrVar);
makes an inverse Hanning-valuation of a file of 4-Byte-Short-Reals
- real64fft(lpFileNameString,lpdwErrVar);
makes a FFT of a file of 8-Byte-Long-Reals
(n=2^k real numbers)
- invreal64fft(lpFileNameString,lpdwErrVar);
makes an inverse FFT of a file of 8-Byte-Long-Reals
(n=2^(k-1) real numbers and 2^(k-1) complex numbers)
- hanning64(lpFileNameString,lpdwErrVar);
valuates a file of 8-Byte-Long-Reals with the Hanning-Valuation
- invhanning64(lpFileNameString,lpdwErrVar);
makes an inverse Hanning-valuation of a file of 8-Byte-Long-Reals
- imag64fft(lpFileNameString,lpdwErrVar);
makes a FFT of a file of 8-Byte-Long-Reals with complex data
(n=2^k real numbers and 2^k complex numbers)
- invimag64fft(lpFileNameString,lpdwErrVar);
makes an inverse FFT of a file of 8-Byte-Long-Reals with complex data
(n=2^k real numbers and 2^k complex numbers)
- imaghanning64(lpFileNameString,lpdwErrVar);
valuates a file of 8-Byte-Long-Reals with the Hanning-Valuation
(n=2^k real numbers and 2^k complex numbers)
- invimaghanning64(lpFileNameString,lpdwErrVar);
makes an inverse Hanning-valuation of a file of 8-Byte-Long-Reals
(n=2^k real numbers and 2^k complex numbers)
- imag80fft(lpFileNameString,lpdwErrVar);
makes a FFT of a file of 10-Byte-Reals with complex data
(n=2^k real numbers and 2^k complex numbers)
- invimag80fft(lpFileNameString,lpdwErrVar);
makes an inverse FFT of a file of 10-Byte-Reals with complex data
(n=2^k real numbers and 2^k complex numbers)
- imaghanning80(lpFileNameString,lpdwErrVar);
valuates a file of 10-Byte-Reals with the Hanning-Valuation
(n=2^k real numbers and 2^k complex numbers)
- invimaghanning80(lpFileNameString,lpdwErrVar);
valuates a file of 10-Byte-Reals with the inverse Hanning-Valuation
(n=2^k real numbers and 2^k complex numbers)
specingdll - für wissenschaftliche Berechnungen geeignet
This specing.dll contains 19 procedures to solve problems around FFTs and digital signal computations.
The procedures use SSE2-instructions of the Pentium and FPU-instructions.
The real-data-computations are all made within the 80-Bit-FPU-registers.
For integer-computations SSE2 instructions and XMM-registers are used.
Some procedures requires complex input-data as explained.
In Delphi this procedures will be declared as follows, for other high-level-languages
refer to manual:
procedure TestHello();stdcall;external 'fft.dll';
or
procedure real32fft(lpFileName:PChar,lpError:Pointer);stdcall;external 'fft.dll'
- TestHello();
returns a message-box that the fft.dll is loaded correctly
- real32fft(lpFileNameString,lpdwErrVar);
makes a FFT of a file of 4-Byte-Short-Reals with real data
(n=2^k real numbers)
makes an inverse FFT of a file of 4-Byte-Short-Reals with complex data
(n=2^(k-1) real numbers and 2^(k-1) complex numbers)
- hanning32(lpFileNameString,lpdwErrVar);
valuates a file of 4-Byte-Short-Reals with the Hanning-Valuation
- invhanning32(lpFileNameString,lpdwErrVar);
makes an inverse Hanning-valuation of a file of 4-Byte-Short-Reals
- wavzerl(lpFileNameString,lpdwErrVar);
creates a file of 4-Byte-Short-Reals from a 16-Bit-Stereo-WAV-File
- syn(lpFileNameString1,lpFileNameString2,lpErrVar);
creates a 16-Bit-Stereo-WAV-File from 2 pc. 4-Byte-Short-Reals
- disc(lpFileNameString,lpErrVar);
a noise-discriminator for a spectrum-file
- adsim(lpFileNameSTring,lpErrVar),
simulates a adc on a mathematical computated series
- full(lpFileNameString,lpErrVar);
full amplification for 16-Bit-Stereo-WAV-Files
- filtflt(lpFileNameString,lpErrVar);
FIR (LP, BP, HP)-filter for 4-Byte-Short-Real-Series
with extra program to determine the filter-data
- ampflt(lpFileNameString,dwamp,lpErrVar);
amplification for 16-Bit-Stereo-WAV-Files
- cep32(lpFileNameString,lpErrVar);
amount/angle-CEPSTRUM computation from 4-Byte-Short-Real-spectrum-data
- lncep32(lpFileNameString,lpErrVar);
logarithm CEPSTRUM computation from 4-Byte-Short-Real-spectrum-data
- real32zerpic((lpFileNameString,lpErrVar);
creates a file of 2^k 4-Byte-Short-Reals from a known *.bmp-format
- bmp32fft(lpFileNameString,lpdwErrVar);
makes a 2-D-FFT of a file of 4-Byte-Short-Reals with real input data
(n=2^k real numbers) and creates a new file named *2dft.fft
- bmp1dfft(lpFileNameString,lpdwErrVar);
makes a 1-D-FFT of a file of 4-Byte-Short-Reals with real input data
(n=2^k real numbers) and creates a new file named *1dft.fft
- bmp32cep(lpFileNameString,lpdwErrVar);
makes a 2-D-CEPSTRUM of a file of 4-Byte-Short-Reals with real spectrum-input-data
(n=2^k real numbers) and creates a new file named *2dftit.cep
- bmp1dcep(lpFileNameString,lpdwErrVar);
makes a 1-D-CEPSTRUM of a file of 4-Byte-Short-Reals with real spectrum-input-data
(n=2^k real numbers) and creates a new file named *1dftit.cep
- bmpsyn(lpFileNameString,lpdwErrVar);
creates a *2dft.bmp-file from a *2dft.fft-file
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real32fft - an external procedure for linking
real32fft.zip contains a readme.txt-file and wap32.obj. You can call the procedure with realfft(FileName:String, lpError) in your application.
The computation of the spectrum is optimized, maximal fast and developed in 80586/80587-assembler. Error-codes will be stored
in a variable of your program.The procedure uses an algorithm, that needs only 75 % of the memory usage of a normal FFT-algorithm.
Single-precision-numbers. For all versions of Windows since Win 95.
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invreal32fft - an external procedure for linking
invreal32fft.zip contains a readme.txt-file and wap32.obj. Single-precision backward FFT, features like real32.fft.
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real64fft - an external procedure for linking
real64fft.zip contains a readme.txt-file and wap32.obj. You can call the procedure with realfft(FileName:String, lpError) in your application.
The computation of the spectrum is optimized, maximal fast and developed in 80586/80587-assembler. Error-codes will be stored
in a variable of your program.The procedure uses an algorithm, that needs only 75 % of the memory usage of a normal FFT-algorithm.8-Byte-Long-Real-numbers
will be used. For all versions of Windows since Win 95.
[beginning][home]
invreal64fft - an external procedure for linking
invreal64fft.zip contains a readme.txt-file and wap32.obj. Double-precision backward FFT, features like real64fft.
[beginning][home]
imag32fft - an external procedure for linking
imag32fft.zip contains a readme.txt-file and wap32.obj. Normal single-precision complex FFT. For all versions of Windows since Win 95.
[beginning][home]
invimag32fft - an external procedure for linking
invimag32fft.zip contains a readme.txt-file and wap32.obj. Normal single-precision complex backward FFT. For all versions of Windows since Win 95.
[beginning][home]
imag64fft - an external procedure for linking
imag64fft.zip contains a readme.txt-file and wap32.obj. Normal double-precision complex FFT. For all versions of Windows since Win 95.
[beginning][home]
invimag64fft - an external procedure for linking
invimag64fft.zip contains a readme.txt-file and wap32.obj. Normal double-precision complex backward FFT. For all versions of Windows since Win 95.
[beginning][home]
Spectrum - an application
