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F:0E:=F FF"F+.F7:Gc|j|j}}tjgdtjz}t t ||ddt t |j|j|jf|ddttd5t |dddd|jjdd d }tjt |j||jfd}|jd k(sJt ||z tj|d y#1swYxYw)N)rrrDrrr]zCalling sproot.. with BSpliner rw)mestr0r;r)r=r;r>rrz)rXr rMrTrrrr4r5r6rIrKrrSrr)rUrXr rootsc2rrrs rY test_sprootzTestInterop.test_sproots2-.ruu4q 5t$?QSS!##/TM:-L M 2B  ddnnQ1% ZZc2440r: ;xx9$$$U BMM"$5EB  s #EE c J|j|j}}ttdd|tdd|jddttdd||j ddddt td5tdd|ddd|jjddd}tjtdd|j||jf}|jd k(sJt|tdd|dd y#1swYxYw) Nrr0ryF)r^check_0dzCalling splint.. with BSpliner r;)r=r;)r^ check_shape)rXr rrrbrrIrKr5rrMrSr4r6r)rUrXr r*integrs rY test_splintzTestInterop.test_splints2q!Qq!QUU+%% Iq!Q Aq) G:-L M  1a  ddnnQ1%F1a"$$RTT):;<||v%%%q!Qe H  s DD"c |j|jfD]@}t|jt|jz }|jj }|dkDr9t j|t j|f|jddzf}dD]}t|}tj|jj ||jf}t|j|ddt|j|dd|j|dk(sJt|tsJt|t rJCyNrr0r0r;r=r\rzr;)rXr rDr4r5rrMrzerosrrrr6rr r r1rUrXctb_crWbdtck_ds rY test_splderzTestInterop.test_splders&&$''" 0AQSSCH$B##((*CAveeC2%#))AB-*?!@@A 0AY acchhj#qss%;<eAhU;eAhU;ttuQx'''!"g...!%/// 0 0rnc |j|jfD]@}t|jt|jz }|jj }|dkDr9t j|t j|f|jddzf}dD]}t|}tj|jj ||jf}t|j|ddt|j|dd|j|dk(sJt|tsJt|t rJCyr3)rXr rDr4r5rrMrr5rrrr6rr r r1r6s rYtest_splantiderzTestInterop.test_splantiders&&$''" 0AQSSCH$B##((*CAveeC2%#))AB-*?!@@A 0]((!##((*c133)?@eAhU;eAhU;ttuQx'''!"g...!%/// 0 0rnc|j|j|j}}}|jjdz}d|j||j|dzzz}t ||t ||j|j |jf}}tt||t||dt|tsJt|tsJtt|j j}|j j|dddz} t ||j| |jf} t ||} tt!j"t|| jddd| |dt| tsJt| tsJy)Nr;rr0r\rzrr)rXr rkr4rrr5r6rrr r r1rr"rrMrS) rUrXr rkrtnbntck_nr2rtck_n2bn2s rYrzTestInterop.test_insertsbFFDGGTWWr2 CCHHM !##a&133qs8# $2qM6"qssACCo#>Eb" b%(u 6"g&&&%'''5# $ TT^^BqrFTM *RTT2rtt,-Rn  5V#45??1aHBe -#w'''&%(((rnN)r(r)r*r rrrr r&r,r1r;r=rr+rnrYrrs= -H6-0' D%:C"H(0"0")rnrceZdZejddej zZejeZdZ dZ dZ dZ e jjdgdd Ze jjdgdd Zd Zd Ze jjdgd dZdZdZdZe jjdgddZdZdZdZdZdZe jj=ddZdZ dZ!dZ"dZ#d Z$d!Z%d"Z&d#Z'e jjdgd$d%Z(d&Z)d'Z*d(Z+d)Z,d*Z-y+), TestInterpr?r@cn|j|j|j|jfSr)rSrkrrs rY_get_xyzTestInterp._get_xys'zz$''"BJJtww$777rnctt5t|j|jddddy#1swYyxYw)NrDrZ)rIrJrrkrrUs rYtest_non_int_orderzTestInterp.test_non_int_orders3 9 % 8 tww3 7 8 8 8s #<Ac|j|\}}t||d}t|||ddt||dd}t|||ddy)NrrZryr]r9r6rrGrrrUrVrkrrXs rY test_order_0zTestInterp.test_order_0Vb!B r2 +"rE: r2 4"rE:rnc|j|\}}t||d}t|||ddt||dd}t|||ddy)Nr0rZryr]r9rLrMrNs rY test_linearzTestInterp.test_linearrPrnr6rc|gd}gd}ttd5t|||dddy#1swYyxYw)Nrr0r;r=r>r)rr0r;r=r>rrrz Shapes of xr rZrIrKrrUr6r}rs rYtest_incompatible_x_yz TestInterp.test_incompatible_x_ys7  $ :] ; * q!q ) * * *s2;cgd}gd}ttd5t|||dddgd}ttd5t|||dddgd}tj|j d}ttd5t|||dddy#1swYxYw#1swYfxYw#1swYyxYw) N)rr0r0r;r=r>rTzx to not have duplicatesr rZ)rr;r0r=r>rzExpect x to be a 1D strictly)r0r9)rIrKrrMrSrrVs rY test_broken_xzTestInterp.test_broken_x s   :-G H * q!q ) *  :-K L * q!q ) *  JJqM ! !' * :-K L * q!q ) * * * * * *  * *s#B.B:C.B7:CCc~|j|\}}dD]$}t|||}t|||dd&y)Nr;r=r>rrrryr]rM)rUrVrkrr6rXs rYtest_not_a_knotzTestInterp.test_not_a_knotsCb!B# ?A"2r1-A AbE2E > ?rnc|j|\}}t||dd}t|||ddtddD]&}t||d|||d |d (t||ddd }t|||ddtddD]&}t||d|||d |d (y) Nrrr@ryr]r0rrr9dy=rzr6rAr)rGrrr)rUrVrkrrXrs rY test_periodiczTestInterp.test_periodic!sb!B r2J ?"rE:q! 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IA AbeNAbfO% H Irnr[cVd}tjjd}tj|j |dz}|j |dz}|d|d<|j ||j |}}t |||d}t|||d y) Nrrrhrr9rrr@ryrz)rMrTrrrBrSrr)rUr6rVrWrr}rrXs rYtest_periodic_randomzTestInterp.test_periodic_random1s ii##D) GGC%%a(2- .   a 3 &u!zz!}bjjm1 q!q* =!ae,rnc|jjd}tjj d}|j |dztj z}tj|}d|d<dtj z|d<tjd|f}tj||d<tj||d<|j||j|}}t||ddd }t|D] }t||||dd|fd "t||d||dd y) Nrrr;r?r9r0rrr_ryrz)rkrrMrTrrBrrr5rrrSrrr)rUrVrWrr}rrXrs rYtest_periodic_axiszTestInterp.test_periodic_axis>s GGMM! ii##D)   a 1 $ruu , GGAJ!BEE " HHaV vvay!vvay!zz!}bjjm1 q!q*1 Eq :A AadGQq!tW5 9 :!A$1R56rnc0tjjd}d}d}tj|j |}|j |}|ddz |d<t t 5t|||ddddy#1swYyxYw) Nrrrr9r0rrr@)rMrTrrrBrIrKr)rUrr6rWr}rs rYtest_periodic_points_exceptionz)TestInterp.test_periodic_points_exceptionOsii##D)   GGC%%a( )   a uqy! : & > q!q* = > > >s 3B  BcPtjjd}d}d}tj|j |}|j |}tj |d|zz}t t5t||||ddddy#1swYyxYw)Nrr=rr;r) rMrTrrrBr5rIrKr)rUrr6rWr}rr4s rYtest_periodic_knots_exceptionz(TestInterp.test_periodic_knots_exceptionZsii##D)   GGC%%a( )   a  HHQQY  : & 7 q!Q: 6 7 7 7s BB%rct|j|j|d}t|j|jd|}t |j|}t |||jdt d|D]:}t |j||}t |||j| d <y) Nrr@T)rr6ryrzr0rrr)rrkrrrrr)rUr6rXrbr9rs rYtest_periodic_splevzTestInterp.test_periodic_spleves tww1j ITWWdgg415DGGS!QtwwZe4q! ?A!,C C477q!1 > ?rnc t|j|jdd}t|j|jd}t ||j||jdt j jd}d}t j|j|dz}|j|d z}|d |d <t||dd}t||d}t ||||dy) Nr=rr@reryrzrrhrr9r) rrkrrrrMrTrrrB)rUrXcubrrWr}rs rYtest_periodic_cubiczTestInterp.test_periodic_cubicrs tww1j I$''477J?$'' CLu=ii##D)  GGC%%a(2- .   a 3 &u! q!q* =!Q 3!c!f51rncTdt|j|jd}t|jt |j|jt j fd}t||j||jdy)Nr=rr@c,t|tS)Nrx)rrM)r}r5r6r4s rYrz6TestInterp.test_periodic_full_matrix..sK1ar$Brnryrz)rrkrr r!rM vectorizer)rUrXr5r5r6r4s @@@rYtest_periodic_full_matrixz$TestInterp.test_periodic_full_matrixsu  tww1j I DGGQ ' &twwA > \\B C$'' BtwwKerrrre*)rrrU)rUr}rlrs rYtest_deriv_speczTestInterp.test_deriv_specs%$A : & @ q!wi-> ? @: & 6 q!W 5 6: & 8 q!gY 7 8: & 1 q!R 0 1 "1 : & 5 q!aV 4 5 5 @ @ 6 6 8 8 1 1  5 5s:CC%C) C57DCC&)C25C>D c |jd}|dz}dgdg}}ttd5t||||fddddgdg}}ttd 5t||||fdddy#1swY:xYw#1swYyxYw) Nrr;)rrr0rzBad boundary conditions at 0.r re)irzBad boundary conditions at 6.)rQrIrKr)rUrVr}rrrs rYtest_deriv_order_too_largez%TestInterp.test_deriv_order_too_large s IIaL qDx&1 :-L M 5 q!aV 4 5x'1 :-L M 5 q!aV 4 5 5  5 5  5 5sA8B8BB cd}|j|\}}|d|zz}dgdg}}t|||||f}t|||ddtj||dd |dd d sJtj||d d |dd d sJd D]%}t||| }t|||dd'y)Nr=r1)r0y@)r0y@@reryr]rr0r r9rr0rZ)rGrrcmathr)rUrVr6rkrryrzrXs rYrzTestInterp.test_complexs b!B #b&[!zK=u r2q5%. 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B!vh5I Jbdd/ B!(>@ B!*0F8(<>bdd/ B!5F G B!dXJ5G Hbdd/ B!\ B B!T :bdd/: & < r2F ; <XXrvvbz266":.QX 7b"Xb"X B!eU^ D B!(>@bdd/ii##D)1 GGCJJAJ& ' JJQ1aLJ )zz!}bjjm1288I&'(288I&'( 1a#s < 1a ;bdd/1 <  7 [[S,/ ?0 ?2 = ,;, T [[j) E* E>& ;5. 5?"*@ [[S,/&0&  " 130j 9?rnrEc|j|jk(sJ|j|j|zdzk(sJ|j}tj||ftj}t |D]R}||}|||k(r|}ntj ||dz }t j||||} | ||||z |dzf<Ttj||} | S)zAssemble an spline order k with knots t to interpolate y(x) using full matrices. Not-a-knot BC only. This routine is here for testing only (even though it's functional). r0rG) rrMr5rRrrr,evaluate_all_bsplslr) r}rr4r6rWArrleftbbr5s rYrrs 66QVV   66QVVaZ!^ ## # A !Qrzz*A 1X !t 1Q4<D??1d+a/D ' '1dD 9 !T!VDF]  ! AA HrncFttj|||f\}}}|j}|j|z dz }tj||ftj }t |D]R}||}|||k(r|} ntj||dz } tj|||| } | ||| |z | dzf<Ttj|j|} tj|j|} tj| | } | || ffS)z,Make the least-square spline, full matrices.r0rG)r|rMrSrr5rRrrr,rdotTrr)r}rr4r6rrWrrrrrr,Yr5s rYmake_lsq_full_matrixrs "**q!Qi(GAq! 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Assuming that each row of an `(m, nc)` matrix 1) only has `nz` non-zeros, and 2) these non-zeros are consecutive, we only store an `(m, nz)` matrix of non-zeros and a 1D array of row offsets. 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The stdout will contain successive iterations of the `t` array. $ git diff scipy/interpolate/fitpack/fpcurf.f diff --git a/scipy/interpolate/fitpack/fpcurf.f b/scipy/interpolate/fitpack/fpcurf.f index 1afb1900f1..d817e51ad8 100644 --- a/scipy/interpolate/fitpack/fpcurf.f +++ b/scipy/interpolate/fitpack/fpcurf.f @@ -216,6 +216,9 @@ c t(j+k) <= x(i) <= t(j+k+1) and store it in fpint(j),j=1,2,...nrint. do 190 l=1,nplus c add a new knot. call fpknot(x,m,t,n,fpint,nrdata,nrint,nest,1) + print*, l, nest, ': ', t + print*, "n, nmax = ", n, nmax + c if n=nmax we locate the knots as for interpolation. if(n.eq.nmax) go to 10 c test whether we cannot further increase the number of knots. rrGr=rr)r?r?r?r?rrrr) r?r?r?r?rBrrrr r?r?r?r?r@rBrrrr) r?r?r?r?r@rBrrrrr) r?r?r?r?r@rArBrbrrrrr\rzr9N) rQrRrrMrrr$rSrDrrr) rUrVr}rr6rwantedwantr4r]rs rY test_s_switchzTestGenerateKnots.test_s_switch- s. 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For testing ONLY. This routine returns a dense matrix, while `_fitpack_repro.disc` returns a packed one. rr0r;NrrrG) rrMrr rCemptyrrr factorial) r4r6rWdeltanrintrtiirmatrrs rY disc_naiver sD  A a!eaiL1Q4 E !GaKE 1Q3qs1uB ))B C!HH1II(266!a%!)$a(3A 88U1Waggaj) 7D 1aggaj! $,!Q$!AaCF)+QT1W , U5[1 t~~a0 00D KrnceZdZdZddZdZy)F_densezm The r.h.s. of ``f(p) = s``, an analog of _fitpack_repro.F Uses full matrices, so is for tests only. 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