+ LV-j^RIt^RIHt^RIHtHt^RIHtH t ^RI H t H t .ROt ]P!^4tRRltRRltRRlt] !R R 7RR l4tRR R/R lltR#)N)warn)rfftirfft)loggammapoch)array_namespacexp_capabilitiesc \V4pVPV4pVPR,pV^8wdYV^, ^, pVPWePR7pWP V)W, ,V,4,pVP\ WaW#VR74p \W VR7p V^8wd5WP V)XX, V,V,,4,p V #)dtype)offsetbias)xprasarrayshapearangefloat64expfhtcoeff_fhtq) adlnmurrrnj_cjuAs &&&&& j/Volumes/fast/ai/experiments/ui-tars-smoke/.venv/lib/python3.14/site-packages/scipy/fft/_fftlog_backend.pyfhtr#s  B 1 A  A qysAg IIazzI * uags*+ + 8ABDABA arA qy VVTEAGS=612 33 Hc \V4pVPV4pVPR,pV^8wd_V^, ^, pVPWePR7pWP WHV, V,V,,4,pVP\ WaW#VRR74p \W RVR7p V^8wd.WP V)XX, ,V,4,p V #)r r T)rrinverse)r&rrr) r!rrrrrrrrr rs &&&&& r"ifhtr'*s  B 1 A  A qysAg IIazzI * t#gs]V345 5 8ABD$OPA aDR(A qy VVTE1s7OC' (( Hr$cY4rvV^,V,^, pV^,V, ^, p \P!^\PV^,,W,, V^,^,4p \P!V^,^,\R7p \P!V^,^,\R7p WP R&WP R&\WR7WP R&\WR7V ^\V, ,,p V ;P V P ,unV ;P \V,, unV ;P V P , unV ;P V , un\P!WR7V^,^8Xd^V P R&\P!V ^,4'g$^V,\WV , 4,V ^&\P!V ^,4'd3V'g+\R^R7\P!V 4p ^V ^&V #V ^,^8Xd?V'd7\R^R7\P!V 4p \PV ^&V #)z:Compute the coefficient array for a fast Hankel transform.r :NNN)outz.singular transform; consider changing the bias) stacklevelz6singular inverse transform; consider changing the biasr)nplinspacepiemptycompleximagrealrLN_2risfiniterisinfrcopyinf) rrrrrr&lnkrqrxmyr vs &&&&&& r"rrFs! Q$q&!B Q$q&!B Aruuad|QU+QT!V4A Aaw'A Aaw'AFF1IFF1I QFF1I QD4KAFFaffFFFd1fFFFaffFFFaKFFF1 1uzr  ;;qt  !td2"uo%!  xx!~~g =!L GGAJ! H 1w ERST GGAJvv! Hr$T) out_of_scopecY#rTV^,V,^, pV^,V, ^, p\P^V,, p\VRV,,4p \VRV,,4p \V, V, V PV P,\P, ,p WK\P !V 4, V,,#)a^Return optimal offset for a fast Hankel transform. Returns an offset close to `initial` that fulfils the low-ringing condition of [1]_ for the fast Hankel transform `fht` with logarithmic spacing `dln`, order `mu` and bias `bias`. Parameters ---------- dln : float Uniform logarithmic spacing of the transform. mu : float Order of the Hankel transform, any positive or negative real number. initial : float, optional Initial value for the offset. Returns the closest value that fulfils the low-ringing condition. bias : float, optional Exponent of power law bias, any positive or negative real number. Returns ------- offset : float Optimal offset of the uniform logarithmic spacing of the transform that fulfils a low-ringing condition. Examples -------- >>> from scipy.fft import fhtoffset >>> dln = 0.1 >>> mu = 2.0 >>> initial = 0.5 >>> bias = 0.0 >>> offset = fhtoffset(dln, mu, initial, bias) >>> offset 0.5454581477676637 See Also -------- fht : Definition of the fast Hankel transform. References ---------- .. [1] Hamilton A. J. S., 2000, MNRAS, 312, 257 (astro-ph/9905191) y?)r+r-rr2r0round) rrinitialrr7r8rr9r:zpzmargs &&&& r" fhtoffsetrCys^! Q$q&!B Q$q&!B qu A "r!t) B "r!t) B $; rww0"%%7 7C #&+ ++r$rcVf\pVPR,p\VRR7pV'g WQ,pMWSPV4,p\ WTRR7pVP VRR7pV#)zMCompute the biased fast Hankel transform. This is the basic FFTLog routine. )axisr)r+rrconjrflip)rr r&rrr!s&&&$ r"rrsi  z   A QRA   WWQZ aA A Hr$)r#r'rC)rH)rHrHF)F)numpyr+warningsr_basicrrspecialrrscipy._lib._array_apirr __all__logr2r#r'rrCrr$r"rQs^$B & vvay 8 80 fd#6,$6,r T r$