X-Git-Url: https://scm.cri.ensmp.fr/git/Faustine.git/blobdiff_plain/c7f552fd8888da2f0d8cfb228fe0f28d3df3a12c..b4b6f2ea75b9f0f3ca918f5b84016610bf7a4d4f:/dsp_files/mrfaustlib/complex.lib diff --git a/dsp_files/mrfaustlib/complex.lib b/dsp_files/mrfaustlib/complex.lib deleted file mode 100644 index 01622f9..0000000 --- a/dsp_files/mrfaustlib/complex.lib +++ /dev/null @@ -1,55 +0,0 @@ -import ( "math.lib" ); -square = _ <: *; - -// Complex in cartesian coordinates -carte_cplx = _, _: (_, 1 : vectorize), (_, 1 : vectorize) : #; - -// Cartesian complex : basic operations -ccplx_real = _, 0 : []; -ccplx_imag = _, 1 : []; -ccplx_conj = _ <: ccplx_real, ccplx_imag : _, (0, _ : -) : carte_cplx; -ccplx_modul2 = _ <: ccplx_real, ccplx_imag : square, square : +; -ccplx_modul = ccplx_modul2 : sqrt; - -//real_not_zero = _ <: (ccplx_imag, ccplx_real : / : atan); -//real_compare = _ <: (ccplx_real, 0 : >), (ccplx_real, 0 : <) : + <: _, (-(1), 0 : <); -//real_zero = _ <: (ccplx_imag, 0 : > : *(PI) : /(2)), (ccplx_imag, 0 : < : _, (0, 1 : -) : * : *(PI) : /(2)) : +; -//ccplx_angle = _ <: (real_not_zero, real_compare, real_zero : *, * : +), (ccplx_real, 0 : < : _, PI : *) : +; -ccplx_angle = _ <: ccplx_imag, ccplx_real : atan2; - -ccplx_div_real = _, _ <: ccplx_real, _, ccplx_imag, _ : /, / : carte_cplx; - -// cartesian complex : add, sub, mul and div -ccplx_add = +; -ccplx_sub = -; - -ccplx_mul = _, _ <: ccplx_real, ccplx_real, ccplx_imag, ccplx_imag,ccplx_real, ccplx_imag, ccplx_imag, ccplx_real : *, *, *, * : -, + : carte_cplx; - -ccplx_div = _, _ <: ccplx_real, ccplx_real, ccplx_imag, ccplx_imag, ccplx_imag, ccplx_real, ccplx_real, ccplx_imag, !, ccplx_real, !, ccplx_imag : *, *, *, *, square, square : +, -, + : carte_cplx, _ : ccplx_div_real; -//ccplx_div = _, _ <: _, ccplx_conj, !, _ : ccplx_mul, ccplx_modul2 : ccplx_div_real; - -// Complex in polar coordinates -polar_cplx = _, _: (_, 1 : vectorize), (_, 1 : vectorize) : #; -pcplx_modul = _, 0 : []; -pcplx_angle = _, 1 : []; -pcplx_real = _ <: pcplx_modul, (pcplx_angle : cos) : *; -pcplx_imag = _ <: pcplx_modul, (pcplx_angle : sin) : *; - -// conversion between cartesian complex and polar complex -sca_abs = _ <: _, (>(0) : *(2) : -(1)) : *; -sca2pcplx = _ <: sca_abs, (<(0) : *(PI)) : polar_cplx; -polar2carte = _ <: pcplx_real, pcplx_imag : carte_cplx; -carte2polar = _ <: ccplx_modul, ccplx_angle : polar_cplx; - -// Polar complex : add, sub, mul and div -pcplx_add = _, _ : polar2carte, polar2carte : ccplx_add : carte2polar; -pcplx_sub = _, _ : polar2carte, polar2carte : ccplx_sub : carte2polar; -pcplx_mul = _, _ <: (pcplx_modul, pcplx_modul : *), (pcplx_angle, pcplx_angle : +) : polar_cplx; - -pcplx_div = _, _ <: (pcplx_modul, pcplx_modul : /), (pcplx_angle, pcplx_angle : -) : polar_cplx; - -//functions used in FFT -real_pcplx_mul = _, ( _ <: pcplx_modul, pcplx_angle) : *, _ : polar_cplx; -pcplx_moduls(n) = par(i, n, pcplx_modul); - -