From ba1b37c1903bed4c0951d9a1765194b43ce299d5 Mon Sep 17 00:00:00 2001 From: Gilbert Young <109980169+bud-primordium@users.noreply.github.com> Date: Fri, 11 Oct 2024 16:23:49 +0800 Subject: [PATCH] update documenter --- .utils/test.pdf | Bin 0 -> 40837 bytes .utils/test.tex | 93 ++++++++++++++++++ .../build/.documenter-siteinfo.json | 2 +- .../src/documenter_output/build/index.html | 2 +- .../documenter_output/build/interaction.html | 4 +- .../src/documenter_output/build/methods.html | 2 +- .../src/documenter_output/build/utils.html | 2 +- 7 files changed, 99 insertions(+), 6 deletions(-) create mode 100644 .utils/test.pdf create mode 100644 .utils/test.tex diff --git a/.utils/test.pdf b/.utils/test.pdf new file mode 100644 index 0000000000000000000000000000000000000000..7cbc2404850e3bfd378e317892a2e37c0298743d GIT binary patch literal 40837 zcmb5WV~}P2vn5 zw27^mvpGH^0|zfJq?5CwiGdB|&-Li|eo0^k=#Xn(5#797x%DQPFfaiSJ3+hs{&WR7 zT(9rQ^fjIAK}abq$;oeT8Vc`3ctdcOXo!qn!)NqI3Aex+yr81`2oy{_;+oBFrHDq# z=#e|ez-NrQmfc^EPcGabiO*3gSH&UrP=%avEX&Ow;OOCXnWvD%EUL_s?e-4uxl$r+ zs8D&07Q7&2d9Mb)N}-H>{aL5alF;LTn3E4TrH0zHN_w%S)m}L)j4OXFFp`b z96^lg6aC=QZpjg$^7xQKF=6^fv0Hl=m{H>k46~|&G_f`Q-%t7H+ke5r#PF~1VPa(d zPk=79xa^4A5vD(>IJvgA;JeeR<5ryuK5&sZkgg)wcPO*t6rQcP)yp~q|4CmqVohiDjUb68)$ zAM-R8n}$FQTx`-Cw;)gX>js%>cMM>}lP^@<<#&sE|yYTAt_cX#i}$tP2o|4g`2 z(>?@o4pbQLQ*CCu8W%-1jp28ru!swHDGvfDaM{gBdzP7`a^!jiv6)}$+N zyKE7lx1#ac03VRvsD>gX9&sduO^;L3C$~e9@t^gp(=U4RVt^6GIhZcd=+*jKHOiKk zrdr$0qx~ovHqz-bV`7!uVHy_z(MltdZh)bmU2%x*FbLz9dEw?UFLz@`eOqo_(*Z_G z(u^?3C#C8>ZLC8nxChs4|559Xfgb_MFa_N*b(R5BAmNIKZ_^#mnr8Y~*4*)uq+dV? z=QX>$4Vq*qm^RWvsw&#pqy$rvt&Tg;z{vjnU_Q%D)Em7L@x|!Lv?tbRtOfT;cD2%;gFO zn`bbqtOR^{AuBbxdek(9&)j0jkG&tbHX-2h=xL?fz(E@?3gK$OZL)-aXTOcG?3|tt z?_r6ylQjb?08!}yQ$RKt#h_>Rqjj!#{%n7O8-#=P)N-b5?8eDdRflU!oSlW~oPrso z0fi69{Hjh~F|mqr*`~kUAzo}g+aU~qDK0way_=C6UCUca*FBdgTHTD{65(6t=F^nl zn4T^bXoXB_olq$YemR;VnxoE%QRIu1tFNGmKtqma0Jh>hieo8ih%FBa;cHo^ycNSu zr68p57r*Dks!|39&Ary4bDrdug!5bn9T-bymXqG7NuU%+V9d)c2oUA>w~Y)umPnjf z46czn(<~6ou-Sqn{P2SYOPS%PdYgn9<_|j{erJo#OGPu|x@%kLLaR$G3*<72g<)n# zLy!xE5{ZJ3l(hq@%#){rh+aO6uT>4NP2^xTn+3|R1uW<{P`k`JQ$=i$MgpEBE8DfMTWPCe5;|} z7;ZKK5^&Ly6#WAf=TvjK69M!}HNI zma&batp}>?vDCy7KmeV=7CtLuV$5VSdD_6A`5)J=$4$d9fRm4D4s9tR3aV7uT|R7pP=OBu+6Qx(`y`qEcDhq znWEn{el%7|`J_s`#aN;?*vVE^J*qs1X!*${T8tK(q2)ylrJ zT)!py^cx%bR5z8e|Fn_{1AO%F=9eHuwl6ZCK!82@GH4M{fq!a^*dzP+0P}w?e|Lrq6rp-0o&}m%26%=cOZ12{;YS2HXoN zWO9AT;fGRkgHMugE#u@P2kfhfN-6BQ`P8g&q70hhw4_=83O^}LYhBeUxOFonVQCy- zk3;^HI1|b42JOr);=;}m-2RoM&mg(Ok22)#{=>-KK~`P`ftcjPs12(+LPFy(0;7%$3-W&v7|$zrmNA8Zp!v zo&(W)Z+UWSZWhgFrLXr>2PVM^Dt&4W`uFozGHK^sW<%SonjPO++;@k^r@{gCh%E6m zCh=f*Et({mlmE%t&jQMZEoj8?k;RyrHN%@ivB%_onK3W#p5_#@Q7WK#w^+5YJrRk` z?YqZ2HV=G_C7zy@Tkn;4t(`~;JyEyWT28I&&5_vNC_{rqEQ((jo9)jzSN-jyrmj@; zEH8$W^WK+>s*XF+ah}u547Eeeo=NcEqJwaLCLqP(q9$1N6`EV%tnDecCoqvPkKMg# z?z6aQqPk1H=^B|~IW3Pc$W=|?n1MLKE0>Sn+K0z{A7InIkpX{UR?Po~S#hwi{U@>N zR^zhUpoianr()+MpSr{K`r#i6Xyb1y&|QpU$VIEjEL8IKi7O(>h_bG@fG-XmkL><@ zi@TG(m-ypitiy*wxBX|9sb@>fx|$*^dl)0u*X-$L-tS!Ra#one z(Yp%pyHbBnvp+t5qqvkt5E~Zsiiq`;m6v#hFtH1vkw>O!l4(P1U0*!e)qKpJ%@5(# z+MDdYok(2T1~;q+i{t#hD`)s9M0d5E&<3WbPR15p#*24^ZIcgdRx5O4H_t=@UYp!b zkm?q%vy=w=Wg2kKIF&w54@y?!v6hA`my!**5ioWhIRP*V7LQ?*t7d4+noS4)c(?qNqZ(jT~Vz zgpkP_K#JQmHVnHuOcD<=`+5kekRf}F6m9Q_$}IKr$`bjSyl=CY*%L3zZ8Tv#skUV_ z*G>_%?P#yWx}OW9D))DSV7L}-UW7?YwJk7REx4&Bb&Ej@$fhzi!V_mL6j@FAshO>+ zD;sW)h1HW51h*?{u1k#9KWqCdeBN-627Uy0_w6%dUum}UgoECB_g|2#bOu7({CJt| z@?YpNt7PC1BnfgZda(p;);Tc?zOG#kYYQkqtDo3d6qgQnUJxcfwK_FP($X3fy$lLx z?6_|Du5bzErtb8(N!}}D?T;npf}M4$E>P3xRti#VeZDCGCkl%=^{Yt!$z4x4FSm3 zu_Vo#H4F$>N~|AmT@cdjwC{g!R!0|dYqmfFw2YX9QuI=dZIfKul#}aNOCVSWg|`x~ zBPw|qyEiX3YeI7h^h$CfH5c4CZ@ASI9OsEELBeeGW+1 zF#@#?oO2z&>xKRb!9%0u%rSLO1PJH1VJ-(&emls#gO8*JtRvsh1t+F*;x=>=U7#)2*)9ARG zwr#e1bB8jM(mZl-{-&`Z^Iy=JYBic(_MLEpbKq-(N17}?3(}f9_WTwEq$a1A3GlHL zF@+`2Fv&a#gt{d``*qS1@^`-18uHCJ@5Lkajm`$64qw`wNnlNrfF2Mh<6PC4$EOo* zZvCW2DaJhv-)3lX;$5i~$*z>XUjRmqKdt|QBKyBWk?kJ}UMF70YLNbqg8xF{bd5@= zWifyU)Dk49bG2Hys>?K@O3$y4PQ-q@M%%~_g|Plvq}D(TW}>sCC=Kt0F^rj&hm?SY zy=09p7}*_19N`beTK(IWRbD3Gj{h+p7QFxTLCG60mk-vAMIK{#gX!r$I^*)OAy#pB z)&23X24O$>yrMl83AXtH`8UT8@DyeS*(2CYwm&#F^vL~h99gFqrv3{@4gv9qf#gUp zPiY5i78CQbi}>Grh9JM+ham$Jz9Y?eD=$~+SX8rzA~~TKboNe`6z=xTkBuaLlRqYr zmWyWD#x#3L1jHCx2JQmhOfnf=wZh+rRw2$7?a|ZDHXOGQg zp75LIb?es7(AMXz*%ejMN}TMP<_8oq{4-$;C^`Gs%7iH%lEin& zsG|PsaM( z2R&}q?U%|H@?;OrlMWFhi8Nji_BAv@EZjkSWAoZM*ni{ z0UsIGNB?__nd$#cjG0*e8RPlMm;icY&|Mz6x#Gm|y%G^5!2)_>=@AFQ4*PI>d+{P0 zN?NaX|F7ssg1O&?$NTl8GLcpATYZ~&H0KGR%dQ1;&Z%%ZNS(9INHKVIC6!=Q_d3tX zj+@SE<<}KtM^}6c_w7Hw*Kv&XAa*kC4y)61W7=mlglGg~NACRx?M(t;`UcwbDhw|}*0Kv`nKqnkp=plj3Aw=Lq zXZ^+EeraJu+sHh#7+0!0m_t?PAvdrvkq7cdrQli~!E@SEIfFCoI2s_ki(sEr_-ZPH2aGu9RA(r<^uRJqn%QI{q3-Z%(&uLweAZBw0!_ z;q?WwXuxhY9^qdmGZ4;KX zcTY<^LUfemUegyG2L{dy-YqM?$T#g4R6wHl*H6}GXL+PW_61u-xqR@?N-)ze8Z9Tc z9TtSvd{by3*mzK`M?W49>`$DJJtv8_aG&R?XG%9y3reUmWPB5aI8Y+xQ7ju+|WGIcf8Xxqzml~9b}>2OMX6lW^2wD-eeKiJMxxPc4UO~RE;IQ ziOOEcs1fdabs&a1f7asGI9xbZ`$#gizHgLo-K+W-QZy3_2!KQKV>yT5XC+E=Evn{W zv&f$mqWS|arXh<5tP1$A`iHZuq^MTCf*Q(@LaYZY=OGVeV2}e{Qj5$cae(jOy5}X6 z3w6YkJGNcPiBElkYqHy6e4a3^2UGxnp z5j9Foxe}6qxD5v-EsoH_*o}7a-mib#ct6scY6`yFtv=?k)z3XVzdz{kI9p$6ew&B-|G&DjrjeTHYsZR7vs z3q5#$eSbV~o`X?4f0f-i{BY#~m5NhW{QXA@4veo6_%`9Nrc<&ILjc{-4vyHE;n8nM z>g-OkKbw%OYpT$9UOKTQK96kH3oQB1%rDxY$y*9aS;L^2w^ziGe9bC~#|TMbP`+OK z?k+SGAop&@>?tq@!3}bnFtgK$V<}!B_r|lzM#dqt(-_T1G~v@oXekP>#|xG&IR{)P zWH(?g;97lBH=k7F&|c#XCA(DdSKqvvie@?_pZm&@MS%PTVy1sn;g}id{{eBLp4Fc& zHoWtR?7oRER4CIRh@i^VU+>$rv0543noVC=^pwBjli{>B2ngA``Fk^QvfDwyhH@o_ z(C5B;YmOYY+KM~-t+AE($=O8&asu9{LyQ_oK!k}0zXd!=A`VbMiOFJ!IgAA+j3r%i zRwoa{idLX%99X6sbju$S-fY#69cTgc0bZOSkXB$UE}zyCVT>3bg*=!k_=2K~+?d`A z&Q888PZr)tkT)38@;8(8&p<(*QnL_rByFt4g*r$}Q}y6*oxxInE0A2!8X0_z=_FD| z49zf46WbDZ@GsN8obFsrMrld&r*=9mG2cPvhe0nYuUOkPMjbl z$k~}h6E&@q#|CD137gj~gwVrEPCA_LQ+e)*D`o|8MdAXzS9A9EZljgHWzL137aM!Z zuhx*It`Xc+*Ty_@N3E)rG{>0$OI2ub7<;opavXI`e1Oo1hH2jcmsWD> z)b~CZaH@px$a+-JWo#eGFS`w9$58fiKAgw;b8=pzwa)PK#|f{q%wI5M{XZ$97gYtl;QESf(+(Wi^!z92!sG1Hqp6& zeEpz~~IAV2sPRIBaOPLC@qI^<4n!Fwvl)s5|OYrXBlsGqFBmepLm3LZ(>XXX&!JR>N; z1NLie-2X)CnEX!9bqQZ<4>b6`=?wv^y7;(0Tk6JJkU-gfHZru!hY z!zF74mQLUTpU~ZX{A8!s!n=a0=ez9cu%b@8n2YM83lHJ!&I^S!O@!2ZD2u#jmpAVW>9Dr5otr=`_T5H;+j zL(!Cpy?sXlPy5;xuJoCGL|V?fCGEh9gNe+ujKOLfH!7^`x;5A4>h-AGu|h+YggR=a z(Bly44OOU0%0t;+wi@g8&eCld1zE!u5!~`WQ<76lu8o=}PKgXBzT>Sh3miiSU;qJ3ge}vymW# zAN%9u1ROrPD9I;eM|jP@S!AltMJg?l+*laK9q zj3WQTTir&mtSJJh64+&goj@S_UO=^sNi+r6WqLe{bu6Kcx{T971JNAD=8~o3oe|CQ zZFddyqvr90x<%t6Ftha(gy&sC!o+p$6-<1p9Oy4W`FFya`5y+Q&Y!yaM_6~itDUSe zh-RTe2EvnDEF8vp7Z-POwj^MpZm>@ieEYN@d93!&Cw@H4D*dUek`iF!rAu7`VA;w8 z`(0!%rN-+gXR`tM#Lce zfWFqJo>T$+hmjK%yQ^N-GMJsmqx*wr@7qHuf(%h)5e?giEq8mTn}*5Do~7}X#GLwx zv)pHscKzj-0U@t+m9v%-pb5vJ>*l7`H$qmQZu8xi5&y@h(Q?>x9^1N_=eA`hzL zqNffTK`5BwDMNd;B+87(c_dm7A{Q=vH&1j-NGtwud|_FmmEQ?Bpmjr9%8)8yp2g6a z7T1PW)fXtgQoUo9&`~r%KwYS)N${vEA=XDh=SiHq%%fU2Y|v!hZ~2Cdwy3NrW*HN( zl}KzltBG%=DN@A;jUt{*z%jPrsEsouv8`NAQ(H8Nn~}iKI94V2VMQ@w_>mA%)NP*i zD&W2G-e$(?Isvmh@X>(|Eel+F-)JYPRZMfGncRG|ElAjzPHXP|bJz=W!+n)jnRa51 znz)U62xQc9X*)--hAWzRe!WCZF~a$pa6iu z#rEjwqz|9IQL@E2G}^f5A-G-|C0uG{1={yke7F$r5cBj3(35(Yb!4r?Em|*=HG$gd zBKHeyMdi)!FQ@chNy`7moc_arjKCY_fe^A9)t6jHBzdrwvQm?m5>$o#dOtI8JP}x5 zTe>h$t2*7#l>l2yUCPQ2l%Opax%iza3kB zHge)bdtG>(N1?;FmyDV;g`eoY)@rGSP1TjbBqsq_TZ5{ZwzdC>;xQCT|K0>xt;~d7 z0~3kl%5;Q=rVQ(-xS~)ap3;Wemf>HBvltb0ZkqEh zc;bXmPlwwI(Tb}Ut^^{ReAEMcsYCLCxZhUVZ@27`%g~s{PfvxiZN#!3RQ>Y{Aj-(K z_%9g#hq(Cnna<4cpISpEM#daT03g^b;}>a(#bSa;ktq{c@K@1kiGXDhD)FLJxFC=R zJRE~gLR>D)Ms#Kha6Y~;C{TegBC{1dTuDCi)9%c0;BI?rz^;g=l9Maxn*3%GYM0l| zHdhxMV8{>nf%@dbL-U7eY4!$8_>kelHib*RGaHRl;5;<^$0+%2!5Icz000gyJ~Y5Sfuud3>H-Daf*(r(i*DR?02N5 zh0`1qlYWV!0CYsT>`tUi`K&N;$9z?lj-;ui7g`2KPC`ulIK<=@F2wtt*3ow)u#Q-eQ# zw>u;bm#75xe2f6N^(mmgE0v7L$y{^tblmEQ1FZY|uVBg_ zl>k(B+~#f>=^*^o3p^tsg?;~p=+lP>x6UFzi9}0o#c^|S zxBiBeRy>dWML=FQi(rSNxB1cBzWk)DK#mx|tw}ncCez?iU?o>i+j{Jtd5~A%ktS=; zytL*sdtOtVu*lwMygh*uwwMeCCM6#F;W#45?+?U?Ms+PpSFeIq0(bbi_*JSFf&c1rMU*wOFgs`Zct@D4WAo~AF1u-%({)3j9s9ISgub{N_Gd1>&xHD7zS{+}POl%3@ z?}w0BWF`rhP!wnQk-7^|@BXt}*YlS1#lKtk+SAQ+l*w(o5$<|@vS!T%ntF9L0C^vP zAVRT%`88R10#BJGKA}R=SJ~|si{hxV43&!6ReGh9SjTbJHJ6#JiHM4dh>6LeoG#D& z!j&Uyr^f}>^ZEtQG!dEV)W$^fp_p)E^M|>~T1SO;YlpNdfnUkBms=^&!IVoZwB}SS zkEVix!?BN$+V=Nu1nHC9>{b7oE=#&yK;R1wA_~PSf*Cw>A&fPhauxW^`JkLaRfU&MCBtTAr}#nlff; z6k(A1iPh6eTs`k*$%=p%Mu)@B;sOxVeAI(o>8&lgYg$Apx5^9Giz_u?x9RC6TAF=q zHOlBEYHtbqs=}e=26NDI?u?pXtE=sXEFisTovxS5RrmV?CRoD*^#WzEwT+=?&1WVT z_q5Z&To`AYI@@4GpOn;{MnNXnm0VlV<=YPKs{o+YI}v z?_}!tu%w*u*s+-LbhyYBsFkwQwlScb1M-;C;5cIsBoyk%7C~+@Gmf)dNVkCVAF}z8 zh#kVEUfPalIHxVrRwFr=<4?$*)18u|Gtg**CH4$5Qq2@1vu&KZ;T8zd%jP7cjf|Cb z9@K2C!`Vl&fsOjpzXv_zIUECU!$l}aCuXIi41l`Cp2lo#$QhE*ryjFUb1}NOKjvm- zz8_arjw~;*GedGuilEtZDi2=J^MY-BNq1}o-v{ck(7C2jk1X5T>(|yYyg(Cy0r+9S z%;ABxB#WX{?`3Dn3n(FZPzUs30j2hYP1Wx!bcgBQhW$>^yb9oe-7$ruhcgWQ%mk_j zCJL%1GV*RQ!x}jYnbyq<=$2A3m%9_>T&V&x%HOCr?Ic8bJ7^}twQX|*eeny-2ZJ~f zW}=jKgf2t~spKqAjge~z_SoZpO(fvg`2j}3qgKD8W#OPR?jfm-qU|3)-ruebi6CwI zM{^RnAyJxG{R%Br&0r0EJdpO0NbmO1g@&^OpN?o6LH z2NQ7sImJdLtl9C3YALI#;`SQ1B@w#!w9!E&%s8-BtI%@bH9 zOypaGlxP;AUxE4s^obdprzZ>P?!qZC7uUBN;|M}<^DWd}I~Le0q5vB>s-FO_G5DU5 zj0DQ;BinM-KTEf(i~SWm*vEtJp2Onhu_x7V=wj^-ko#Vhrb)rE>_<2v=KuIAB>;8+ z^W@n{ZnskBy}PR4xpC;^x%D*IsmIVyZCQtoh9i6_%o0W8qAA>jqJDL>*b0PDvJ)u zJV%{$7mvn1-GC?Uo_`9@F}g{iFmx+)ODr_D<1*)f zh=&XZ2*D6=9Hl8-zX+C$+uG~v9QFv|)j!IZS-s=ev!!y`rwBrOd!YA@H zq8;XTh`WqNm^ENB)P;eT7$icjyh|Obbs`?9f9E}ee5dAX1&52%%@xP7t;6$8*5dKM&nV_4OkFsioNCEjf#sqppStw zRH+7<1~#F3KcfnoRH`PLfQO68uHwT1^QnLE03YlG;VCUTzWMQ==r=N_!0jQfN#Ooqr)^jxP0I2)@H{r3Z`5y zwwcpJj+jHwwFLwQ&L~Eu2fG><*;=Z52Z2n~~9i3Fk zS-A+SU;P8P3`|C!$^3_0pI%UU-q*Vme$ZR{AOS7ytzyUE!g5O|63ILuUW|BMVfE!N zouv;{?h}8pRey5Ha0T3kTX^n$e_ptU!X*E@8y4iyPwk*+7(r%mpv_Kt3daEOK|o2; zp%or__&t#{K|y3pm0d$@Do28}s8IGFk_fQ4kWV1`Y!Om*p?JIdgkW2?;36@B2ojPP z&mP6btARmvZnLWh-SxgH!gi0-Tc0g_yH^~WYlqk8cj9Cu>|wy@`@|`+;W^(F?{vFj z1MpZtqRxIkeVNedQTRVJP@;gt{D22?+040^OtQFrJA$~RT3+#P(na3#m!s}~Rrc?= z+%J1qdldGZ-eOs$b=A9CP!^J#{l1N-b|S~v-EqL?`#OydVse$z=&%@F`NceSoV=;w zDQ{Z>iCDMGOlb{=& zr@T^b`#h|?_P21LYV=tP1Wy_#;_KX35lz=PtvL;|&%R4&Q)DRFL(9d%o_tI&Dhq5D zuoX);w5v*wx2_xI39k02g{Ow&Q;YFGgl*)@-r74HKiySSpe$+GI26+J%N*TZ3E4Ep z4)0z8n{VwJ1%>~zf5ZB(44Qwg-&pAb`~U$z1pok#`SIhwXE^I${EB~@;S3BM?EmRo zm?U{yE2*H5TU9U}aF^LfBS*4uT= zK{g|Si>*Y-fISLDt-_++{j0OAsV&6ijfYh)r3L|NSR<}T1QQ8E8<@i|UNEaVX{u=k@i;Z}R8hTL3&D3+Bwur=RlFI~+gAA%;{GDC~HpHl1otG6UGgxQXcF!{F z9y28+3EZbN{+>e$`wm)fzny0& z)p!P_*1c(6)4H6wwnn#iotzn>um9CA8^zid&h8_(`8&XJTFvfW-!a)xst&UX)yc?3 zy-~15iuRYyK@uaUf8`CrhbnC9ec(f@YC~(utdc~Ua4Z-ktaQOH#+HS{kBOyGq3l{< zqI~%vpOg0Hfar!_ID%B^#GL#mF~x@TuNxs26mp8GzvAzT(|c#cAd@_S4L+q&GRjle z7tQCU?T~~P^&HB_a7>!$qfeT~!0aEU#USfZX%vXK=+#i*y`ikOA~Sr_dl@zmN+sEun%cXnZwm^zoDFxPtVmij+>L*>cmvA z0DL69nL=3f685hl$oBbI3$&@7pWX}kd1x!+-Q_hyF=+oicMXrr=3(ee-vMM>>e^oe zd`}kdr&HZe>Z`@oJ#!GgqM(@5IKK|4Q%HM+|LpNT*OExXv*-OoW`7u$&+O+&YkQUB z{YkA)2T?r@C`@)dEP9Eiepz}vWVk8%*;Rz-`};`^4*hbc+Wqen_KU)rXc_Gkz4eU@ zL>LQW2;>ik>0H5JiY*prjKlMtXDx`v71LTjzNb0zz=(N8ga&xdRK4!%)%HH*Wnl2F zV5<2#O+{^FS+6vXdyeYh+)Dk|47(5;^ z9Skj%yWNsxmRS1v1;xS$GzUQ_tlCttn^w}fX^CKS5wr)T{MxL<2jyyx=5P<|yjfj4{bivDJ98+0l4s*t{gInCOUz{QlGIX!HYyDn^P$*sWL1&YHplJD*NEM;F3)WbrVkm85yQl zQg&cuVh|qRAi~=~!rM?hf&67#W!=Q6fJz$+p(H$>q|m_sYMHJ|qgHM*M_J4&!80O; zijGv7QcSLL%lM^3qBb_Tcqg9D%Ai=2U}5;X;W7S)0|TOS&Xw z(u4t1X8r*JiFw@|ub9$95cxaGBVhkj=nSG}Cpx#++G6)*80vUhtHUuT)-+HQwODza z@GzrJJ$U_CF5lb1s9Z4_z6Afp2%RAST`G!b1PKXT&k&Iz`G%|n$quP8j6)cp-cMb) zOOBc}1%5IdWk`}R4xCUGfk2oXK{N;nL6{mrYzPTL7%`t<87c?-)&73e+^~u2=4uGF zAKqWVepKd2l@6P93eoVH{@FL&HcTz@eCS)~EioJSoCo(g{L-oAIbJ zscX4+%qnCBwU!G=5tJLf&3ZRqAhYY;<2a9$ZaS~g&RF3!8_4x~WRiUUV+EEnTdJLg zqefGLR_)Zq!QB%I0FsnTU(1=wJW^Zf3xUVR=Vl(=_sk>VkVCVVf!13ot)Rl9JZPwX`j#C?heqKS4&8!Y+q!s6{}x|RV{8ec@SxR zK)1VKh4Ekstb{X&yTR(*o;;9ehL;rQ)SM%Q{gj+t?&p*<3XV0d;8N3*w47u1u@V&@B=~g! z))LSzpmS~4Rz`KeO3z|M4#(R#(Xgfj62C+dpOwuQZGe?G#30U_@*g_Pk7ZdBH*MMH zXlEN4AV1%lN zHx=Y8L}=ccMABxQmXj7ncewd!_Uj<>1rz6Ef~d_|=lzUaSRa#&p2Vbkf^5uz5J|d2-U1c( z-k$3NUvPExBVoC$MCHDu1{0Q^L&yO|k96g97cdV$ewA{)84uHy;ljf)W^Q>P&n_-) z*gFpF^}rvLh2%S3V=@e^Yh zVTqs>bD=r$wYrPK)H|{3sB(%Ug6_uVWF?DCsc-jrq?n4ouTbU4OI~52MHjN%aH2gr ztWaV-p62bN+q4oFy3J_~I94|ZYAOS{pYd6YE7TxjSI$n%VWfhx^)v#$>~!3)Px4^nR@OYJCS1xhoezJ}=A ze1!RSIKX(cv-g*q_AJLyD=#VS z8w`b}pvg;#%=oRK3+)rss%t)KND5&(Fz_`9T3GdhxlUUuXJ@BMDK|1JB4CM6?s{I& zADoha1h&J2-9c=i$%xC5)Q=jT?rA)F0M_)>_f1h)*sx@{(9e?jukwpz52V8mS%eg2 z?w)W|9${xY>Fr9W*aw`HsVH&prv6MJCC)zdLixu!pEuIXuEzho5Xdv}q5G0)4_-;S z!@%n_Z`cWKsllz31uav~0j>I!H3G2-5zjLTz`~sK8ZZaS2mu=FT)i14!@Jh)$C6t!Pko8^JN(I37kI9nPsjfFXx zs&p5ymnrR%f_OkzMu%*^z=4TrIU2-Q`x7EsjnYRj%sygs__URb=@V&~fon|y>q@U| z{+0Mpj=xI0c%DsXy44t4(qu#)$m+@x_FxlS?7xX_l91?z!!2Jt1-rl}U%%<8VSJAn z=^C&%hqh%KK0D$f#T*cse=4J0#ezi-1NJD0+kmT=!boTf zg@!0!OBpJA?xv$!U~y}9f?ZT@=ygYKH)>&>8E56&w`>3Te}K-V3D**E`FRq8W4@qh zGH;j`)etU;Wx+_$uHGTIkp;+xGh}C;82$zet#whM=!y`rTW`;|&iK=bxhZ>PVZ2J7M|k_Lm<9!# zD0Z=5yU2B@=R@gv80hxTZAA+B@Pm{+Q=esvr`DO*~bh)(qK^m;0ARa%sDdaMgY1N05Ai< z02XWI4^z@iG@dbe?+h-2>9e>__6ho)N@HF5LPrAN+P^IqAa>C2Xgl)G7%ryXuAcsb*P_Y8c1HfI)pe02{daqAIY zq_9VCw-Fh@>LQ#szvNaFyEs`W74H`d>@J(QD#9ZPo*j`|s=`M4sfL$WQLti)_r(z{ z@lD(8WTT{iIP2N0Hmx21g%oMGs{r78iuk zg923)sW04#EgxFA5qsLYphj7<#H2p?DsfaBWM z7iTc@y5drEj!JR>ZW~vmFb9tb-;K`+rro2*s@7*PoOS zPyN3r`=>5T03{6&O;_4BcG|XW+qP}nwq0o(mA36l+ve20Pv^|^>b3e0#B0RIP*t;U zwRg6$bz#h1#edLXiRK+FI(rH_$klf#8qO7>L!eFlY`o3#N9zyPoKI>TD<&_+h|B8; z+G#y#TR{Wq!8*5fp`@uWnH%l#A{jNA7z1Xc7J-BMdzEZ~Z`=3R9uKNLX=v>p-dtx* zBfW{YoNuC-s{=qM_kNw#@g3O&4POf~8IR2+ON&ohW@AyXXedV&96TP&Fsf$Kx)uf0 ze9Vpq++bt=Xp8;ycFpH>FbL}6CQZuTz0h?A1kGQ-DbN$@HD@rM7;=TBEvRE`;;7Lu zDzzE3ki1}K{y}@FwpUdTrqQ(|TO)rN9lOCLxfE~Kp z3^HnpP1-Rr9C^maAAW4y?Wo=QxZd{(?|#n^XX4_zO<9308ok_upKtcUurl}^Zd(MD zlw2k7FbB+Y3B;ofgb+Q};0{uKJGUA+yNq;f)j2TF{rk?--FVKcCPao~$E&o@TsdSY1pd*xHqxUME%Wft&9-R&&y9c%7Z4UiCRl z_>TiK$5GPlD2%0y-^4I)(6=_Z-8E~HLWB7WD7iljCMf;D7 z+#^Kd%59G&f~{(elK%>j&)eUb zXy=sb6SDdsDLUCPGzXHmTDv7c7R#fFy1qT@Itxz8r$BZ&Xx)L)WgNEXyHW;1=?q&t z+%2?#0V1hr1}#)f5KnfUdJ2;TK&+@)NZO84H>q3JQ@#QrNQo8>8$x6SI7 zKI(i!X5@-z9*<+H_X?ufnW)H$YmyblQ7Y!cL+Ol~ z#+yHgTLJQj&p<%~FUaz*B7qvG?++GNPIb^WTZ6SvBkzu-jzXQ}B3XHjRV3e2n~zA8 z7NDNVY2;j2e75vOy_}$~by9)oD~nd$h=C66q{Z`|!dXl0CrL>|A_i?5Ge}xX&xO~V zj_CA&m>7(uo^RT7n7Q9XKR*PX9p72FWAl0T-BO4{sH^$0`JUESTU*d67Szqrg8DB4 zrRD^u>+x6Kz4_ZVjF%zubm{|n*s z|I*G3_7E9l*<{v~M_&s|q61m_fq|g%!5;p<`O|CO)wRfkbQQOC{$ zVg|)7GKFlx;%25OQu9>VzFJWOr|R9^=cW)O77PJ`x<^DBmbeYOMHNBvq>2(E3Scs- zIkl?cU0L05+q7F9#lI+~wZ3=@*PC6>t*CkOkaLzZOY*+i`pLif>HYbs3vzHKL4_VJ z;B>~oLUD<-|Me>bi+zYAyi8iSlsz#inL}tFEoqPVty5~pZcYEpOYiI%fRc|XB};Ig zCeSO17!@1*FU(=RSBOjYbN{IR&iN}Vl>~AlQ~~iiguIZ9Wr!C9b;y~dka5J~YYNl1 zh;t@~k&c1GW8l|FNlZ$+MzAI(1}=|Z^}~BDB09y?LQO1tS?2x$n66O_1GPd14#gC6 z*?6(z0EKZ8Vh#H#TQy3|MF`}V6VY;sJR?*C<;W6X@l=3l0MQ(IA%^lU$VYzOe(pl% z9g~QaQ7oT01J29vJ!u$efW^2-GXtefE#G1R1{gTVVBrEhcs+-Okzy5>AV} zjuG6}qje1R(1*@oOv-M|_MR4O0r1 zd<0o=h+`jbpVtT)Nh$DI#)$48%OgQUOdLT$oE1T`9|=Yr%Fs2zz~`If3UV%n zX-a{D`b$S69VFemc6Do{gS6c>`C;59s>o%@{Lx`UK>AvG%l|p!($T4Z519N{FO0a# z*OvsCzoJ%d+3C-gxKH$m=@(!V{QDIdF-8t ze!&8FqlU7Y11b-&q;S%}N8zIk0tx8jJSsqOJeYNLMO0!_go^SgvOZ3PVJm>?)X ztqyb#m{EXH>&&F5lMct!`N77*Jr`pCj9Zz1uo%Nob?23p_Usot`>G4RR9z#w!|<lpt;^Huql^SNihJ{Gu$DfMgv+c>f&BIc$;2U zc0m;#QgPE*dG~CX_(z-UnMv}$Mm%m^Rph4o6=v4*w@0PVUs0!_)tNW^)ZeXPAarn} zi}^Yg_5Nk(OEMD@_&b6-HWn9`F<^uSGD}T9cQ)eI+a$T=n!$S!Azyu@s?;+K>>SrW zq$bMjvAX-~$XDGG$D`tDu?pHSVhY^m-#hL_Khh0G=6@Kd;%{kGUr3%mQ$WK-0{_GlRD7SaOA`+0uv zUQ|<95ov<{Z=;jb;v%ae?OAMimNgegstcTW>%iJCWr7TRKwHpeFe`$QwlQ~i!6O@p zy31y^gi!=vrTV?3N@8IZlxc(hP|5A-*Zj2EjzxX-ZpAp2&RN7s zV~rusiACB=SOEG!AD8=)!gV=woYPcLNpSQ@F{6zWpz&&NHRZ7RYVne4OIc@vaRTs< zjCzCn*U9DQDk{U7)RNBM+*Vewb)45n;-4)#2rD5~IbmT_{k!(W;Zx(uip7{`^pn?; zr_<$=qtoSsEvq5x*L`F;7n>Q>^Ph>-?d=nO(NtUyh44TTXU|NUQ*hP(e*wl!>Q&N9 z61iaL_jJ-Ll2ID{3i%_qffv+=+xSnuH&~6^#-w{KUbv`i-hBL;b&k+M*I7n&N#?_= zn+Rx3s6n05L_XrO5^jOWW>znjC=(KK5^t6|@bhsz8B0s=QG|-@t8ZXU?!0^b5We*q zf1&!-HpCcJ0S36aYm%8%v4ts3++&xcE#+@LhYjU*NwYE2${W?p3IMtK^>ZzfVdeub z!Q_G-#f=)d?+J<7g5t_R&pJ;YSi|0;c$#`zs*aIp=F3V6YRVK7NZC~*shM8xc9!rbK;Lwln>aoMI%|d76>T!Mj(NvHYeW9?*%94{SvrU8Q<$DHf6 zbv-n>+}b2k8yES3MOzTcqf6>4p#nlyfxz$A53L87A1FdEFY-?Ci~Z9dLU`}=Dsn;@ z0|;iw2<_2%aaHjSgeq=pueF&O*)XkMGI-HyCp+rVC1O1p<$iQbigJO>`yiLxTG6f~ z=ll6*+pVH;KMRuVvTgaRs}|M#gM1Yuy|V9y(TeaZ&zS1boT4FV(OcWlY@;;H8xK8K z2FhYyiCUiPp@#(&AB2xkn(YL`V=ogfb21KK~ndcpPf zuZ^17EvJuGbmr`hs@DAi%)Ok;Y}%%ztA9CEbtd(=m=V0k$9eDCA|@vU3pT*0%u-n7 zos|8%ODr{CH_)7?a1&UZ@#K9-cj)i0e?6u`D0~eSK2C|qx;SeoD?7&uuN+HBJNr}( zv3a-XhSI8Mx>)i+p4T>`4+_$iQTBQ)*uA)tHcg05hu$bY#kLMb5YtVXZ7L3~6c=%Q zTX$lonjRh%KVsUsHx_!(W(R;G`T1UbmwaV*56+prIW>7#9f>`I$VwneJ<0a&w1ie| zHGtZh$&MKvHw4LvZ$77@7Vxs-8rxPAA9TqVeq9xN-9G?wIIA{M&AGfEST90(9%MToUy-Y*W|x)W5Ij1O*}5mFj&Qe$Smv z6@(seGeP#*r>^MjMthfgMk zUD5l#aC3t{MC#_V0Uh@A9EqyCmleF8Qf=&2303x1)b^(KZt@73W%>Ags&*#zaZ@`% z_lqo8EKR!5rI;Az+P934PgH&=HC4(@vmd}gBTf1uc8p)w_oar(HE`ve?Jo;cW?HXg zPopE&r&V@#$TjDEYAuS`L|&`{=8L-9f@)AhKM>;61b& zqIrB%)2!!lKe_NF%gjfLRIAf^t^EO$F*6eMRALncB`N-p&<=n2Ok%cvsE)didEnvF zG)nt?%80(td3I$UCn(d=Q~sQ1=^ml7_y03_J_<|(?gJG-;5TgAwgw4lOODS!NR?`A zb#%3F>1k;w*r|Jc6Vw|Ms{9WJ`hQqo{+IjzzXVuo1A_#_Jrz`$totBC!3YQ-%rVfN z|6%lhXvzQA+n<@8<-a;RLN%Z?l+`zSft?1)C|27Yu6io1tH3E$t>;?{(9jgiqj0Do zk0`Jg2S8JLMfgak7NQLjxIp4@r9*C2^i8V(zuMo4!|ZeLAc9%KX? zh31Had+DTQUzfX}>4(X&m7Q^$Wj9#7Y4o=UtwRbSTwVTro5sXE;>rA(y~=!0c?hnW zS%mb)5fb1)t{w6)LcUAs2hk23gpu|`YIHcehqUZw63e{2Iy+)DZ=fO4#79A^N%8RZ z?0HCgd*B@>mX{P*d(LHQF*1(<(C`T%?@?-=QEHMZKgb&c?8o*=|1O-?uSrDGC?Ny3 zDHJJ7oI(LobjqX@JC7+~qN5Z5t4yErkiN;%h6RRD7NMf3_=E}435!aTv(6SlWPimTOk(Je(54--xL8hvb-DKrHzL&_Vn*|#0Y_DH`a zLPsP(_8TG|$k!07CR9TvK(US_G-5^)vLP9Wa3D^KAli@cAP!s;9fKk*Bu0(|XyaRc zX9-R*7~6?kMEszHK=n2n+N!Y4+8o%@uY0aPL2656ZOP@KeF>`A@$Y`eKl5{eaXoT+ zaYJzDIY+s?|9N9Q0i2K*i^V2&N$AM6*E;fYa~VB)-Z~48=*MhbSPA}O$x|M+ixDm^*##Kw=}M z_N};w@tjhy(^R!`1_i25H#+$bDmTjtMIF6lm1VU>+tS`ds+Q3hH_m-4g1+BfF2!l| zlHzsQr=7}~zWQKaJG%P1AHam)MzH13@ryQLE0Wt@-5Zce#Q@Apy(txlDZ+KI{I8Zb zUv?R41NU_OvLukPK{v7rW{pQmL~5|LJN(_foB&R?us|S1^PL?`Go;GI2OLYm<;%Mh z(-Le_H$0I}GqUOvi)TM zdMLX43-UigcfjBiQ))%8Aji`>1fm>QtS{^tQ1;(XZGpY?t?w#Ll*6J~@SQMct~B*U zT1&X;-Q3jf?8^1O&`Kt+Hr;HNZA%(3Hx1o!1Jr^1!yOI${rCRv`Pt!sv&$4<)*lfI z652(JduCOGxY8x(r8f`9=e50_@5;3XLRx&4Q)I`ku$8dR%f5F$<0vaYKI_Jk_XOt> z$b+&QAbcx~-Y@Je!~}JbRh;z5hcy{xFk_hQN5aArjFg12^2jS|iX+Mmy#68#?BD^c z{WZRfvdz@g*-%CfIk^?FnbrD7EJN(TY4tDe9wOu!>sGkb2Br7YrHq6)m>%{K#`lar z?LE+C^xN8Y>=S`c%hz`A zYC$(P`_AWUmIX`96Mx|ylZN9fRe|NRsA!>=ez>ZM;Gho!PT$8z;TH4h( zJ-;j%lPt$$ZOR8MdAL2WThaF}y6W-F?`;X1S$)nvgi#C_EUWjYinc9>oBCQifCYwc zjVoM}Uzp`of%#@mzTLlbS<`~p`gQGcD^zLyYz~3WM3$Lfg%B=US1w`KCzLCL7Y#|b zb7X_9Dd#U92`)1rYV@cru>HwB-j*Cy#3F& z>}tA{%u)lTs3{gLeI>V}yO|8tB2rHeSPqJt0$);-Z{3R`|bX3@XPnGnYdl4)v5&bQ{wtDfmh*OZ&PUeFI9n zeYqPql{YYbRh7s2YJ7z>jj#1OYa4#&4o}wCc*t6uhPfJ&&oC?|x3&3-Xww<{HX%DlrryO8vAvm=B#4 zGD=Fq)OfOQRMo0*1-nUDHYm}{SBdty2G zG^}G3h~CNFE@JW6ab(|NO-YS#;M3hj+-(bj3Oj&fZO`O@l0WRONvhDd#p_cei89t} zmk0}ZjfR$sk7Wc`HooIM&a|_n29;jBpjId{^(+RJ;(sL$e-%{>5vdVqw9eN38Bju6 z=ALsdDsSK-4ftbORAP8;-@|goFVo<~Ss`)$N)3?Ad@jzqqBp<${wa|7{ncl&ptLuW zU9b*Y-=P(M_nAl^>Xv7}$C%-DkG>W#om{>*@|qsatN#A}R@41-YM)N8-{nWyZ>>NR zC^kj_TLR(-PI^M^cld%BjaluZ`VP^c%ISy*X)ICScXx}VzqMljkU!iF|JIi%AOBu= z@{qIz*)(0q6*0+(A|bOB;(tw9L9hw)yOjQyTPB-`8!`#kRIM|N0!qKyC*iAdC*byF???*r2qkWv5mN-O%6=>>9R)T)WkC>lU@p zfPV#%vZwSZ80CL+hB{+N9@uLo;9-s6qbfGj>gyXu*73G(n2FDSi;L9IBJi?4-3^yB zL@8QaEKN5Hs&7tcanZCbri03m%k*cJq*rRtq5BM_7sZ)e8V?|lr}XLHDDx9lOKrFg ze5u@wTkmNcAZd?OL{UGu2$xz67*Hx*%0*5Zb`GqnhR&_6xc}`o&8O`vHxNuAEV0_S zzpgxKw_ke>4{h8_TDg+ZxX2?3{r6uYH1vtv()px+ABq?*$sKdz_lr7%V|Z+qG|QU4 zKLZ2J=7m@V`-W2?gV-kw`h|NMlXO+c9jSB`pR4`)?%ScB>sGB1nW%Qkg5}+WiKCUg zmK|_00-UHMi(Y{bz14Fa`PR7P*=US=m|R+n%2%jAJWk#W-&#*{B%>y{5XDK<~Z} zm`UrFQxx~6P4!ok5tP$uX)C<;$csciFL6U7=%z*o*|el@pjG|Bs7^0Pawc3~Th%2nb|j|$SKK^Qt{4)Y#C?bO(&46oRkNU=r5T?%M0t7E_E zmWDf*NS)%u1W{}{VX|#HeC*B@K-}x88e@k*d|+Vq(&}wRiVqEHDDVIgw%J3O@Yis@Gvc>qA0J zHw);HbTm!&hY0ZNE@{}6jccDub!sn4M%mWIODnr5KnNNn1=S{5_r4UV=ILCZ<2 z`4=HeSEmbPDx&JA33l|_I)3O2((s$s<4Flk9Gcn&^z`7Wz$;SrzsdtbPV&<4=2*PX`eY~SVvCwS z{yF0x?Rd=IOWpA}dnxs+PC_b00Jm3PUi)GM1jv6adzIm5gTrVeUafC|t(|NA-fEqN zINT|RYvn4-4}R_#tJqR&e3*!Cr_(<0#~5vDkRyVKK4E>}LJY3ilXz5Lo02@}#~@Jl zkO;}kHG`5S5mKO5re9_LugUeH{D3U^+~D0yY%2C}Nrxf(y?KvX2X0B$J`Z?!bf34P ziJf1oz?W1hm0{dK;eyoku0Wz@M$^z)Og1f%xiQR(a&P^gG+#qyhMUUO?+Xv`2hl>^ zLVUzT+?tlDgV0Gg74*D%D`Ya$(eQoYfRGF~QnPIff( zRoigu?^_V^W4UvmH!WL|116tc^#GV75_f<QQ^zztD*sqY!73Op4_PDr9r%TzbQBzMJ8X|okDRv7iJwAf z66R;bR$_8f@HUl~P<0@p( z?O%Qh?Y1c?J4e!PeN81vrZ_i2Ci7p1mnJSOoOr)!7qjY=bR{#JoYQ+NN^~|0w!NSG z^-dIX3@?8oehBOuUs(PJuCk)uxD;y{~9laJH@Iw z*T$*iH2cUv{>VWRm^X8ka(%NF2d+YLTKS^ePwgj%zPy4o88AJplNk&4auSBf&&+3f zR?VkOa=RxNU@VylPGVp-2Sv6WLVo6bNsjxZ%p3eQb`1v$*4zsY_S~U?^obiz>Z4^@ zQcA!xVlfRj<8+-Wd_R#oR!G-%Q2Ccxcd&V^-FB4h5~dMF=bN(pnl7?C`q)MksQ)s>ziN1Goc2fEswIin9W$Q5Mo4+%r{4dCuXuJ{8EH&yo%_2A^7pB?wn<@)K#ru3r7o+Wxp@sqL!`la;H%!#eYg5`GmifD=hyz9m^&@*H>Qoczoz zJUDf9`EAoP(n&x$$-mx=3g3(Pbk(*OnN!ekkSQ$FvT#d60oVuC58rLN!Smb4xrb3@ z6aE|C{)nknmTtVIY_OB>Q95Q@EPsc}{eieD<2(d{jb@oDNKMmO2PpWZhn;_(5g19C zU$rM*(hmUwV;_*OB*IsWby~) zd1ff}Th310)yI%*L4$c`cUaBh7ORK4WF;)Vi;mHFM6hNhp-xP0a65k}7$k`BP+uW9 zf`5+c2h^K5@qyLF$?#No+w%gl{kWeU^thpHe77;bZ$1 zLH96v$>YR(-Fl~;)1)k54(nXh153VXaWC3hOcy^3dRR|``_QEjLXFt(D_Le)R_f^8 zL;K6Hw&+^J)-!iQZBuFUIuU>((e>fFUfG4W9s7j;+$!F_nfVJVF=6?&gm3yleW)pD z?o8$o#Exrsd3!B@tLyg6@|dP~%LBA!P+GlibyXMu=-yfhyO`y%r^n1a%fJRLbC2qU z{!X|CaYR}AjWdc1{b~e{K%Inl2$&0StH+A2d2bKbH!!PxQ2TE3i;Wg(;}d!k{O9pg3qNEZL2K6j1NH{06gTb zt>Upjdhr&S7&zIJYJ6sEak;?5H|!T&{NQ%hXeH+W;p=$yjg9a%9;HRCycX9rkA~&3 z1YU;U|2@>hFwd4U;mWFe*)cG69>$!&6v&m4nvVSHi%aNn^NrxIP03gtN_~6o89oaF zCN99>5zyzf_I4AcBH1``TD{>;a(#5vLf36n zww0PK>1dgh=i2I1Q^f}3pbw5e`bXwGvL*=?5i5}`kz@`i){P+$45?LCG-`6<(eu=! zv_WC|7)QGkx??MF0iI)GYt-K=Q`p}||I;Go>Z6(Jlw~z1j073ee)Uw7wlOMp=1tJn zbvnr}zY*S1pBnel?ks^w-m+1#0h+oSH*fEX)vn6AqK%b(wT0e|3U&1gE|~ZE`S?9- zg=={B8)kSM8R7rC+Bp8hEb_ms&HpO#`TvEF0zqMApka9+VBvv~_<(Qzhr$0ra{pg< zCM)BAGto7gP(I44y}d+R3I*uE56v&<9Z2j70*E5uib#pRl&G36QZH;JvI}gsi)EHc zW?kdsy{y|fo#imw6t;x{#L+?M?)fmp%yE<1nJ;4Evo&qZ4|ZCZ^Se_#JKgD@joXJ? z-ZL*h-@88_`M33z%8dB&?B0_rxs8{Avjx&DocS#@(}1~2>Lm z5qTR;#v4NuPsl}P>CkPZq!P!V9{@&*Ni3?(mJJpcM)Pc%MD8jyS@g+KNsCO$jSHfU zE{Z-IdWwE}T6TF9B(?6lOhl=QT!DfF_klW3Goiy{~9 zH&Gb8^vP5r+C!9<3*9X9MWV!tdRkc&%7qDaKCgzNej`Sjb|ZslTlV+(Gg+UCJA;Xi z(RsVQw0`qxvDT}$n=N(?LY0W6lTMB0C!xsYt zBLu_fhSD{XHE0{sR%mZ*?O@($-gw)7HpA?O8V%f5l;}}6V|oL6qhIwRG*HqbOpJ_a zu}20S86cCR&>sA^ob?@>J~n<}&y^bBH+(zP%5Jh9WBOzExmH>4;ywZj4764o3QIv1 zy=TW~mod@I@*>j3@;i-}X?4bVQFl{bmn)oYoo3`ye&%uJ*HaxmZJMFlq5j`(#%<)= zdi?k}5BRXfUxvq}LObgX+ONhqRw07CDp!R)vgipMWc|WwRl=gbryyz)jp}0jvtC__ zI2VztTC}1G1ve)^3L2K@QSHh%CDajDARZO$i(^`0y)$k*CVZFo@K}C{O9=+(Mq(UW zBDY{yETstlI=yy&bipg*mUQQ=E?hfFkQ^(6nqzxp#4mrka0wbe(G>Ca|cV?*X2vq+ZSMhX-C?kx`T z02ZtoF)A_`zvgg=mT-<^k@}9~c>_%bCUL@6-hrYl{cau*BHi6|3_JsR2o)?lQaufA z+p*9W=Zw^pX*hSnqo2gSyqxx>395_cOo6k)%L*-b6*W(PI}9toG=TK)5P86H-VX91 zToTU1{xSc4(p16y$h-Zc`ckh9c1H-WecJFvc);A{)G~KjD)`My$9P#QHDm>WI&K|~ zD@#q7!9Qo9rkRd2*5h*Q-TmK(JUreAe4tAjw_pbK6aKTj*glrVzcQG70@Hf=MftsOaVjUQeBghm;-_R3y5 z^1<)tL>ne*!v{^ck5_~j;(%vDd@hfvx?r+m;B(6;-JbN^o;Sz)2GjES?p5shh4^{Y z^T~Poa6UjE|L2?&)hM74Dwm)W1YWxZMTRiYiw_(2ZZ4%wVF8UV`7L*@6ybDQtx667 zy~cA$N9KA4kH`7{CXMQT-u`?$Afg|pkLngo4unlsNx7v3i8p!kh^vG8Z&~TxyM9h8VsCNi= z$>lQ|LO|}n7oS?9JKn+`NCslJborwzg5Pqtt?0eS%C|X6_EF`7t>> zA!?3=C^|xAd3`vYvKwvQ-k-sFX1~?vp391#F`pEgb=w}-qU_0n zQzNlJVUQd86st6Q~#Rd}yjenT;f17nT(4;4+PiI$R$STBr) z%6A7E&9W4j<`aJNOV&P&#q5d@^S^IzTkNFYz`M37dG;!Z1w5{CwknR!(S0UtUh_*q zfaWYX-Fdd%@szEb(q|)nlA2he!;V#Q*?ao3BGFV$Q%)$Am$_j0K9?ixycVEW z%;C!&w$;RuyKD17;#vzYUW8Ys01S{4$zpsuVz zQ2T{z094}`y7g46P<>NBt+$B3tjB))u6?NJE%avv^iswZT9vA75;_8u7HhQkTm(iZ zXALh;rC2=^&*yPd%di6<-7Yi_C zGrbN!ZORt}EKd?dkvv&xJ1f_dtjX#M$RB*Gb+x5=kk&BzCT8dwMAcJTG^uk4hS!}{ zF`Ez?C>>gsLXf6@dA$4R0&rl}{)I8;EL8uVBDthht>qV(pbbBV_tdhXn@~lt6*O|ueLyGRP*K$1#f{_g zZgjT@seZB|Of_LJJ&#n%Z=_sOT3l3F%DfdaQi{U7+^SGAMgK|E^cd|!U1yVzo`shy z0QG1)6B5KV3^3Dzn;M=gAX$MwaU+0pU4js(DBtf6j=<9Y4HpX)f7{D9Dvr0hV#Fkb z0tegi+G%8(beVNj>B6pXif{I4w$A3AGg4!wYzTEX@b}S}*L6BpP+?ouF|dnFNsj3> zmLUHy-ghdK50oY*SdSoNM-t-60ruWYpZvnNKFm2}7}YzQF#q^eut7hzuQi%8IGhGO zL%gxUzYb`JO|Nz*wM?>p=)7g6h>88GaDxl)?=u}2&)=5`I5xPJMLWyi0NlB&Y7mMv z%Rjb34+p#Z!)_K8fM7cLep$xFQI9Rd=j*#w|H^^wp18a`zs~GOkxye-Ee1>M(PJ?s zkIVb%l3Q~}SNfVw_dNl&_L5!YYyrDn|66sV^LD|lGzl|Qsz%imrcxIi09l7MOh>;q zYs=`M2}+8UYI73Gi}{*z`>+M;e8`HnlDghiD(^QRWyuXtf^Pv0epi~daML&Pm@ zVs;5y(1q0HS}(o5PfVR?P@K-6KpLymGE;r(jd(-SFJzbG%8P?HF)T!W zACpUO*T%Lzhj(e9{~m?L{b_>soGQ-wJ}ZDe1uq?D)22+lVc4L8Y}+<>4#H_1wsyge zRkMzS;Bmd-3Qmb*a>P=Wap;L?x^M5Y#;j)^DQy?2Tdg5`3fh;<;;al59POVcdOvj~ z^&yHum)q~nW!}uQHuLs33e$j|u|S@1{t;J*RWMCZtTx~g%r7lhu4ypUkv4J2}M1d$8Qul_^%E42;MNyZD7Ss`~Wb@2r*JFX2#K#Q2N#3LN@~H^v*351n zi`9}PI~FmEm+Sn9yqkIj=`xplq`U!w4XI)|#{>z2{0hFnGQYr69XKn9Ellwf0g3(< zr5_SU)NTg9+He)RF8FUlmyKP(wGl+Eb-|9DH8Ybb)!gs#Gp{>yUwwafWoH=G_6-P_ z{3SB2>FgTCQXLKQrHY=(`FY0-yZnGGtzfYb&3D_XZ#nW)UX#>i1;14N-vEoMbt5pw zlY8Nucpfw%@VO=dNR!fWeDh}-=QM1MAE7>>*ag-yDLoO}( zoEe_RHi!bxaPhicX`jbOQa3h(svpG<2KEOGuhqe)$(}Eln~)vd^oxk2>H@kVDqO=L z5^`1RWtU7Zj8fn6YBgl%kJX&??r+V_7rpufNet}iX!je4g-hS4r^7E0yO{E6>z6g- zt2{RiX}wooouOgWcbGX00#&C+y<4n&Mdqdua&~ZdzWfGyeQ-HTWov|Q>8$x<%cqS$ zqAHQxHo+3FoM%>n=Ui0E($X?0!);_b^OKa=t2}g;e+x0h=Yi>Nbt`1ntWIYwe{~qf z8XHD0q#iM^7Z0TlUwsXg6MP>}tkPbr9%{fH`xvMm@UJf?Qyf8bSv6|4m=YRde4Cv+ zw+baqV&lJLw30s#U~wLm36DrUI6mQ#OLx1tDyj(Jjm;9KRr~EFn&)wTZWF0DkpS7) z@hCvVVoQr?ywqEAoSa%_F?3GZ#ZO)%nGu z#l<=3==oxgyC=-Ag``8()mH%@0aLku@d&Zc#rf^7S4trQhN{yqAZxnX3p*=)3@AF> zNw|663VG#qRoXEBC~gJ@*qSr#h#@=|WDp@T z!w$kuxCGf`S5wx+XAeQxB_11Vn7Y5bN&nh}lubP@6<)O-fvI=AUiRu;X z+4ay8_S<+yqi_1`0fn*5`jnoRfXDZUN9zOUdrgf@YpoPY8m$9bv~qNhEg%dxyd*#( zaf(_F!uy_dypQ;$@;(051}?C83F#4V4gdC$gF=*ueW)Yh)+n__*o0mIWxH}fUmbh{ zu5af>|4Dhf)JbJeMfkDCZ5Wq>=shg!DX_vPp`LuD`v=8V#mhAR^Iv^|#LuR!%BBUq zmQNJ5uH=Toa$oU0;?0t|MF`4lQa(osQ=s_Khf?yGkmuWYSbsoU^0|onUvla!eJnD( zSOs0t(o+NM&usL(22y zpum2UV5kM9Qx(U~gFP^C5*N&898~;s?`JAI_Vrk^fs`paW=cWJ?o>VFSf!upYP>>k zGTwN6s;0yG4Q;=vMXAtv8g+VJP&F|q+>q?M_+LCZ1H ztF2weNsGTXSOJ?`&-x|*tYoYuHoJHJ(i4Ra!VHjW%rWh9Z59hpkwM7qAN zv9mY7Hm)pZZMX1LC+>!1=HP?N(;ogX&$}R^ygeMNg~jy#(7_Jo#eBj&Oy_(eHn9cV zU#b!TXE3trq4VO2&B9J|@G>9nS>e0i)VOsP7kmHic)|A$omQP(65k#0u*cD+`n0zu z4Hx+z7{~wczWy&%=KniZm%zXv#U!(lME<%bfe&gK00o4V0?z(FjQ!~s;$CdIYPIXi-JZF8F6o)M+>l>vzh|^REX^a)siMn!h35_tC0G~#!38ZwUO>8&Y$Y=10*uZ)d@NjGrEyZtx1Pjs6o}=uYjm#dO z(G@rx_v`fxqO?d&+`t6YDRc~nNl~mm#Mk))xxo6O0^Gt4pF?mH%0>{)(C(OO;T4kX z1lln-0Lr+~eWFlEv&<-tT$xwCLdW)$a#u#;Ibcv3O4!D2Al9@EwKmsHMyWGZ%u zM@dfS!k4FV-69mG+gTG;!&!L8iW4m_EoJu4Gv&#KC60mIiz4fLv0a=Gb&>1P=@{S8 z_z>V+;NEfEwbr|DMJ8GA36XIgm@>W92zOQjmH0!L>*GEi9|isbBFr6N@Q02nj%4J$ zH2!A&C|>QrO^x^!H>iGw-nIN!Ko~>_jtSF>?+;1{Bm&R@GRDEawD57~z+6hRc-(f;Wc8(9;{mp>HncMaQ4V$qg&`i$^k&1ZhtY zCg9{+BENv)<-lHnm-!cX++6{taTR2eyJ`VNe@+T)PVq-W zP;=UyI>dC5`$-ba4Y09Hfy*`b~x1vNnu_qajw$y*2YAMu8*1?v$wu@J0OcB(GVF5txct6Ef_ z#8z=->jWp|3l(Wt{hJdLOi*Q&?p|3?Rb2@3U7Jh3&`h(%`G@c(*R-g=QB^p5pF?6| znZ}m9!L}=i&tof=%Adn=bGPAv(qVH0xrsn=93(_KJP#MK@$<}9S20zXT>RS~m)b`E zZas&O+4*EbFV7pWTrFn2Gcu%(K)O*zO;9nEHa7IkdoN-2fBdYuCSK#Ta($k5d=`5z zx+gPxYGpUqZC+b71ZV4#e_d%*b*U+uS2JhdvYHTW7qFd`oNkg!?|%4!%$)zStQKxa z&){uDmn;>bNb@8u6sT{Zk0U87J?y~R#^-&I)iTHupy~joh;59;t(G$?Zhl*`Xa6-% z%~|NHx96tYVb#?0<2QER2B4lYONOeruu^qWSyEeMH0zq<)xzVK8>(0W0tTg+9& z6ll?JXT+bqu!~%V3?B~@k+k}IJ&&FE#eJX!yWYTcHiXTc&&RG(&-(I1DiStF zf^>I-64FX45)$%wKdo4OZofxoT5qSsLb| zlQNjpkWi!O76fL(LnN;q!`e4R*}xmaCs>SHJh?B|l(sN3=PT>{!Nteb=>9jibaUA{_xg-SX9J zbM%>0Pm}b+^4`9U9tTZTS9u zQsz_naXp%K|5gQ~#GP|D)niE7kI?I4m4ZBXC?7HS?w!}h#g?NxO>0Q6FsE1$RPs`v zJTkruJ=|r_H&o;$xiPbAIlYkV?eW3M2ZEW=dsz62AEC5#0lMVy_%?Rp|I3;6nSjKb z9o*B}w~Fp{-?0L@mq`u{U&dGX=Xp|Y!G8#|5z=o(38BJAc9;p#u>rd7&an2bUU2-DR21&X;&tx*$NCW^H~ ztt;pFT+hR@+wrDEchxyrDYVxpSe%Y%$dElNUCshbw4N`dCndKk7VPRkTQWQHJOx-= z1H_stwV=-G{o*sUF7{uOvo(k=@C6#_(k>JRwkYslX*Mj#qy% z96#6+x)$!~JX%bxsC{&L#)9M|c6M;Yxoz34Br;b&cDS+9E@AEMva|Wxc zk52dWlq7$_#4^+pe!UO@(3^bE)7~3aaL5$i{iCZM!Dr(h9j)&a9hvZ#pwIHTvE*H(CZm9iJxZ^_BG&gI3Srr zS_cu9J|xAKS6rC%_*J&Tcn6?);ezkAz@&2Q#uT4ZOPiL7zDF>rD4Dovhp(&P`xp>4 zkwQ!A?go-b>}6wjOSVGJr)NC^c>Rh<{?EMpGda)p&wL@Rp}(7?EI09;h=rys}aHfC*+!3DVcJUmmjv43@S&r=weduPr7bG;n*2DUBNxMOozwum< zl>g0N@Hgw+zlidGSmgfL^47`84NwNz8=bYCPPq3dMeghTry!U7n|0y;E69Zeh5wPK zT4mq_GlA1~WS)CdRIe8&E)!iajiE3JG+a|L@m(aY}Gm?7@D zNWVQ$nFAL6H8st?4nGLzPUx-Rwo^-TbtKQN8(ru-e1o?g1GDS; z1e#u#AkZ`x@q!I5(0N6`R?WiGkCsQSIzaJ`AU^_h!nlwe$UJsjPs5|SUw4Q58`D9$ zHtx;E??eJb)rNSJrFiA6Bjp_d3HBLb0WqF78N)`Nyln`S?zys0CrFwkkKosKU97xi z0whWc=;8hB$<^9-=NW0na&1S4CL$MBr~S<5_dP2<+60Tvt+8ptI=~D@sQwAFh_d~t zniqMJmsVw_dg?XrEBX&+2|_)tF^Gm5bmt^pO5sc#n6mf*loMi6)ZZOc<}@icIZjm| z9urFHSG%^3Im#xs!0%uvs8Ni>kk#C}=C-jkIKd|hh$l{AFI>O9B~==8INe@b4V`6w zUNLM!9<5KlP`cLRab*z?QMTW^g#46PZoe?5gN0B0#wJ>4qTenIeBRnn+?rHBH&C7X zI&wMd0z%`J#)U1`e0HB@juR2FvE$I!3gOVl+K&ifWdh10?5TSr zMj1Ec?JB5yc9w}^2v#KKr;AzT^+?hm#daRi#1~oi+b3*F;sY~{khm`ir4>!dD(nV1 zr=-X=xR2}P442l`f_8AG3gCkA5%e^pZ>`7ay0G(PF;B<}B`O;%3COs?q@T$r>A@Ny zDG4?L=BVgxS49$$hzqR-rI=JHSM_fa(+}D+1sXPW{rnKH9|xD~g3OQOhP5ezq@W2X= zQyK%OIM3{p0`+f??bXxXKTetZb?BAyFdX|XA?`~ADMjM3QjkoN2Srs=z3I?3=&9AM zyT`>>k8NF{vE`oJnx5<`-Xw)@HV@UVaSL{K z;c~up_npk5GQs;eleVr%PFD8X?T%shqf<#@;eqhOLb2;yHCvr?!CYz8prAoj*YTyh zHC3sFys`^dj)mZ~`9mAZ?8JFr3>COq%a|_jne(Tv-QkF)bwHJ~HdmTGL*{M(UY=E)DO#i6RR(hP4fQA8E^W`2c|3^g>gQx^NkUiTvmBNPGK)^ zP)h1vqdXfT_5{e#YZh2&GHEBtJmoz_a$2qC*+20om1!39D`wNJcWAbV`tcF9tYTue zezXYC(_!a*zgib1r5^7)BHdIC-bO3?DwsPtO2s+SfkA_$u=>;uXYVcGiw%VBGAwRg z!>K-9Y04_XjxSew7H|0nzBQ_O@m;I%6oMw5Fp>QRdeEk<)r5V&`*AsiiZdWkP=OpU zd=JTd4@n{GT$ymLsP`6r(iAHS&lgxqL;#ag1Vu?H_cn>Yb#bTbf$3maB#PUQbcBiv z3v@z-rd2m5>1mBLDJX8GRF&MTw5o-NUg_hEes(?$Xp`~F(7B?Fh87_hrC##Ia1+o= zkwmHXE5Kgxr;Gu4;M_|~V+(4dN>%s$iwW`$z4}#NIkm6JJ@+^{s1-iQ2ybv-{3HqT z7Y`qg*_&`4c)3w7dV}a6UEP1dRrslD#rfB}#c@bdTVJW%fm8b`<)_8%D}NnR-7xV| zL(<1q<#9kps?8DIJNmDf@;$?;S$5M=+xMFq8|!tc(6Wzg-(3Mh5TWB_Sj`&M?dpYc z!?n-xo3-3P)mR4B3fXdiH~X8_q#|sKd?un8v=NbHOK_|70SO_X43N8uF{*8UNF`)X zHsba@Y~nX@&24*xV(+ceZh1?OrLy}XGnEA63=ofo-;%5u`nA>MX#Yhn;=#_IwzJPF zswOJa=0WiUul11m3Mq=atP(r|pOfu8`L#9jdw*eKl{q)#X>Nh*Se+ncDF7ex&Vm}h z>>L+Xw7Z16GJk|e+;A@nA5BR7lc)Ld2nY^UruZyk{G7sd|3|8MTNB&*_b{``2O^JM6 zF@VYhE3O<1*9b>mp+yU+Qh=(dj1C3G~SS;CvW#=_>Ug zO74-)0Z`{AJOn6){Wim)@l6cy9#vxMbzNxvls|QT3%!ow{d~ubRVr@9N)`?g)!~8W zYm1IX-syw%@T1M1-tSVdSAqC2odT!sSa^LLCHuqmUcpd4ybPXqOkC6I$V+JLrF3Wg zY6wx0gsw`QK1p(YhL<&_62&x@(}TLZ`4h?TNLi9MdRxDrvLrLa>KK=5H}I`zy1SXo zqipra?g|N^utRPI7du>DJLE!7?+S%hH#EYr-VB$mI4XrRav!jhs9T@v-DsDT8Xw-{ zGr%R>c~ug}p`lW_OBTm*Z=~38Lm8J1AhxVa1>HMOG_+!t&8U25fy?<0JTJ~;z2N2? zN70(<+US^+GEt>n;&Q>O09rcvj@-ypH@wRS&M%Io$JVF-<*HzN)Fa=_Y*qJmO^qnh z#2ZSxgAZ35x{`@LTpEk+=NL3FV8o*mj6+AYDf3J9N*u{aWQ$)jZn}uvPWjf~wF`Hr z1gvFwJo3|sN7w- zyje;=-KEc!vycu(e!W>*#u7=F9zPoD%bDoh(S0_CCGyer9*ETq#P1>#sZ}i<8Mn$$ zd&NN}CD~I^GI?^v^XFrAn=fQ$j@O;9VQkGdzIaza0cW6ZMJZL$h!Hy=yM1cRb92os zYi2}g8ecdmbVyh?y<0ga2ok~kaWR{#T(XE=%XDK26mPD>6XMRGgAP_UvMPWMfl=cmBj zYacq#FF$nNPepNxFH4Kr(Jxb3kUF6=7Vq%h)u(Lzr$CeZ+iTDN3N%AK8?=C$vWW}| z1r`(&LZiin|A5AXks?-TNo!#VG*VJn2qh#cAqM%scbEz2xwv=|{?)(g38*=vU0A^X zJJq-Mw_%Z#5O``L^k)TZ_HX)6{2whdXiQe1N0+hhd%(BW^5D613;6SVIJ_JLnw}b- zq$Mv@Xzqw5Wd*V)>hePYg=!yg%tObB1l4Dcw+tb_@^U^0W zMpH%9QW%Fi{l@DUuRfL|Q@MzWo)DrU`Cp3aaZ>AX!Rr<1QPGZAa9Kid*m@*7B!M;1 z{?7jxT4bfn20iFIaY^WHPPv&(Bq$2Z`D(&uGH*oQDxC8xd54|QDW^|dllg7S*m4CL zc$UB$(f`tcNwXwdk*{?4jaNCL^|9)^m|M#9=)$`O4o2qk;wk$I^*xz#*1fz6#MG_9 zSiVnwdBH_x+{QPJcZvIEaN=9MIjJRf&Ce^+7kCW7+%EJ@s?&<4pgC-Oa6c!aC L$ \texttt{max\_val}}{ + \texttt{imax} $\gets$ $i$\; + \texttt{max\_val} $\gets$ \texttt{val}\; + } + } + \Return \texttt{imax}\; +\end{algorithm} + + + + +\end{document} \ No newline at end of file diff --git a/Assignment_3/Problem_3/src/documenter_output/build/.documenter-siteinfo.json b/Assignment_3/Problem_3/src/documenter_output/build/.documenter-siteinfo.json index 9b9c039..1c21dd5 100644 --- a/Assignment_3/Problem_3/src/documenter_output/build/.documenter-siteinfo.json +++ b/Assignment_3/Problem_3/src/documenter_output/build/.documenter-siteinfo.json @@ -1 +1 @@ -{"documenter":{"julia_version":"1.10.5","generation_timestamp":"2024-10-09T13:20:21","documenter_version":"1.7.0"}} \ No newline at end of file +{"documenter":{"julia_version":"1.10.5","generation_timestamp":"2024-10-11T16:23:08","documenter_version":"1.7.0"}} \ No newline at end of file diff --git a/Assignment_3/Problem_3/src/documenter_output/build/index.html b/Assignment_3/Problem_3/src/documenter_output/build/index.html index 2bb7b2f..be9e4db 100644 --- a/Assignment_3/Problem_3/src/documenter_output/build/index.html +++ b/Assignment_3/Problem_3/src/documenter_output/build/index.html @@ -1,2 +1,2 @@ -Home · SchrödingerSolver Documentation
GitHub
+Home · SchrödingerSolver Documentation
GitHub
diff --git a/Assignment_3/Problem_3/src/documenter_output/build/interaction.html b/Assignment_3/Problem_3/src/documenter_output/build/interaction.html index 851937f..1234e85 100644 --- a/Assignment_3/Problem_3/src/documenter_output/build/interaction.html +++ b/Assignment_3/Problem_3/src/documenter_output/build/interaction.html @@ -1,8 +1,8 @@ -Interaction · SchrödingerSolver Documentation
GitHub

Interaction Module

This module handles interaction and plotting functions to display and visualize results.

Main.SchrödingerSolver.Interaction.plot_wavefunctions — Method
plot_wavefunctions(
+Interaction · SchrödingerSolver Documentation
GitHub
Interaction Module
This module handles interaction and plotting functions to display and visualize results.
Main.SchrödingerSolver.Interaction.plot_wavefunctions — Method
plot_wavefunctions(
     x_vals::AbstractVector{Float64},
     wavefunctions::Vector{Vector{Float64}},
     num_levels::Int,
     potential_name::String,
     potential_params::Vector{Float64}
-)
Plots the wave functions.
Arguments
  • x_vals: Values of x.
  • wavefunctions: Precomputed and normalized wave functions.
  • num_levels: Number of energy levels to plot.
  • potential_name: The name of the potential function.
  • potential_params: Coefficients for the polynomial potential function.
source

+)

Plots the wave functions.

Arguments

  • x_vals: Values of x.
  • wavefunctions: Precomputed and normalized wave functions.
  • num_levels: Number of energy levels to plot.
  • potential_name: The name of the potential function.
  • potential_params: Coefficients for the polynomial potential function.
source
diff --git a/Assignment_3/Problem_3/src/documenter_output/build/methods.html b/Assignment_3/Problem_3/src/documenter_output/build/methods.html index 647e25b..1a91238 100644 --- a/Assignment_3/Problem_3/src/documenter_output/build/methods.html +++ b/Assignment_3/Problem_3/src/documenter_output/build/methods.html @@ -1,2 +1,2 @@ -Methods · SchrödingerSolver Documentation
GitHub

Methods Module

This module provides methods for solving integrals and other calculations.

Main.SchrödingerSolver.Methods.build_matrices — Method
build_matrices(N, v, s, potential_gaussian_integral, potential_params)

Builds the Hamiltonian matrix H and overlap matrix S for the variational method.

Arguments

  • N: Number of basis functions.
  • v: Width parameters of the Gaussian basis functions.
  • s: Centers of the Gaussian basis functions.
  • potential_gaussian_integral: Function to compute the potential energy integral.
  • potential_params: Additional parameters for the potential function.

Returns

  • (H, S): The Hamiltonian and overlap matrices.
source
Main.SchrödingerSolver.Methods.kinetic_integral — Method
kinetic_integral(v1, s1, v2, s2)

Computes the kinetic energy integral between two Gaussian basis functions.

The kinetic energy integral is given by:

\[T_{ij} = \frac{v_1^{3/2} v_2^{3/2} \left( v_1 + v_2 - 2 v_1 v_2 (s_1 - s_2)^2 \right)}{\sqrt{\pi} (v_1 + v_2)^{5/2}} e^{- \frac{v_1 v_2 (s_1 - s_2)^2}{v_1 + v_2}}\]

Arguments

  • v1: Width parameter of the first Gaussian basis function.
  • s1: Center of the first Gaussian basis function.
  • v2: Width parameter of the second Gaussian basis function.
  • s2: Center of the second Gaussian basis function.

Returns

  • T_ij: The kinetic energy integral value.
source
Main.SchrödingerSolver.Methods.overlap_integral — Method
overlap_integral(v1, s1, v2, s2)

Computes the overlap integral between two Gaussian basis functions with parameters (v1, s1) and (v2, s2).

The overlap integral is given by:

\[S_{ij} = \frac{\sqrt{v_1 v_2}}{\sqrt{\pi (v_1 + v_2)}} e^{- \frac{v_1 v_2 (s_1 - s_2)^2}{v_1 + v_2}}\]

Arguments

  • v1: Width parameter of the first Gaussian basis function.
  • s1: Center of the first Gaussian basis function.
  • v2: Width parameter of the second Gaussian basis function.
  • s2: Center of the second Gaussian basis function.

Returns

  • S_ij: The overlap integral value.
source
Main.SchrödingerSolver.Methods.potential_integral_xn — Method
potential_integral_xn(v1, s1, v2, s2, n)

Computes the potential energy integral for ( V(x) = x^n ) between two Gaussian basis functions.

Arguments

  • v1, s1: Parameters of the first Gaussian basis function.
  • v2, s2: Parameters of the second Gaussian basis function.
  • n: The power of x in the potential function (integer from 0 to 4).

Returns

  • V_ij: The potential energy integral value.
source
Main.SchrödingerSolver.Methods.solve_schrodinger — Method
solve_schrodinger(H, S, num_levels)

Solves the generalized eigenvalue problem for the Hamiltonian H and overlap matrix S.

Arguments

  • H: Hamiltonian matrix.
  • S: Overlap matrix.
  • num_levels: Number of energy levels to compute.

Returns

  • (energies, states): The lowest num_levels eigenvalues and eigenvectors.
source
+Methods · SchrödingerSolver Documentation
GitHub

Methods Module

This module provides methods for solving integrals and other calculations.

Main.SchrödingerSolver.Methods.build_matrices — Method
build_matrices(N, v, s, potential_gaussian_integral, potential_params)

Builds the Hamiltonian matrix H and overlap matrix S for the variational method.

Arguments

  • N: Number of basis functions.
  • v: Width parameters of the Gaussian basis functions.
  • s: Centers of the Gaussian basis functions.
  • potential_gaussian_integral: Function to compute the potential energy integral.
  • potential_params: Additional parameters for the potential function.

Returns

  • (H, S): The Hamiltonian and overlap matrices.
source
Main.SchrödingerSolver.Methods.kinetic_integral — Method
kinetic_integral(v1, s1, v2, s2)

Computes the kinetic energy integral between two Gaussian basis functions.

The kinetic energy integral is given by:

\[T_{ij} = \frac{v_1^{3/2} v_2^{3/2} \left( v_1 + v_2 - 2 v_1 v_2 (s_1 - s_2)^2 \right)}{\sqrt{\pi} (v_1 + v_2)^{5/2}} e^{- \frac{v_1 v_2 (s_1 - s_2)^2}{v_1 + v_2}}\]

Arguments

  • v1: Width parameter of the first Gaussian basis function.
  • s1: Center of the first Gaussian basis function.
  • v2: Width parameter of the second Gaussian basis function.
  • s2: Center of the second Gaussian basis function.

Returns

  • T_ij: The kinetic energy integral value.
source
Main.SchrödingerSolver.Methods.overlap_integral — Method
overlap_integral(v1, s1, v2, s2)

Computes the overlap integral between two Gaussian basis functions with parameters (v1, s1) and (v2, s2).

The overlap integral is given by:

\[S_{ij} = \frac{\sqrt{v_1 v_2}}{\sqrt{\pi (v_1 + v_2)}} e^{- \frac{v_1 v_2 (s_1 - s_2)^2}{v_1 + v_2}}\]

Arguments

  • v1: Width parameter of the first Gaussian basis function.
  • s1: Center of the first Gaussian basis function.
  • v2: Width parameter of the second Gaussian basis function.
  • s2: Center of the second Gaussian basis function.

Returns

  • S_ij: The overlap integral value.
source
Main.SchrödingerSolver.Methods.potential_integral_xn — Method
potential_integral_xn(v1, s1, v2, s2, n)

Computes the potential energy integral for ( V(x) = x^n ) between two Gaussian basis functions.

Arguments

  • v1, s1: Parameters of the first Gaussian basis function.
  • v2, s2: Parameters of the second Gaussian basis function.
  • n: The power of x in the potential function (integer from 0 to 4).

Returns

  • V_ij: The potential energy integral value.
source
Main.SchrödingerSolver.Methods.solve_schrodinger — Method
solve_schrodinger(H, S, num_levels)

Solves the generalized eigenvalue problem for the Hamiltonian H and overlap matrix S.

Arguments

  • H: Hamiltonian matrix.
  • S: Overlap matrix.
  • num_levels: Number of energy levels to compute.

Returns

  • (energies, states): The lowest num_levels eigenvalues and eigenvectors.
source
diff --git a/Assignment_3/Problem_3/src/documenter_output/build/utils.html b/Assignment_3/Problem_3/src/documenter_output/build/utils.html index f21e606..62f7bd1 100644 --- a/Assignment_3/Problem_3/src/documenter_output/build/utils.html +++ b/Assignment_3/Problem_3/src/documenter_output/build/utils.html @@ -1,2 +1,2 @@ -Utils · SchrödingerSolver Documentation
GitHub

Utils Module

The Utils module includes utility functions that assist with data processing, normalization, and parameter handling.

Main.SchrödingerSolver.Utils.get_parameters — Method
get_parameters(choice::String)

Retrieves parameters based on the user's selection.

Arguments

  • choice: User selection for the potential type.

Returns

  • (N, v, s, potential_gaussian_integral, potential_params, potential_name, num_levels): Parameters for solving the Schrödinger equation.
source
Main.SchrödingerSolver.Utils.get_potential_function — Method
get_potential_function(choice::String)

Selects the potential function based on user's choice.

Arguments

  • choice: User selection for the potential type.

Returns

  • [(potential_gaussian_integral, potential_name, potential_params)]: Potential function and parameters.
source
Main.SchrödingerSolver.Utils.normalize_wavefunction — Method
normalize_wavefunction(x_vals::AbstractVector{Float64}, ψ::AbstractVector{Float64})::Vector{Float64}

Normalizes the wave function ψ based on the integration over x_vals.

Arguments

  • x_vals: Vector of x values.
  • ψ: Wave function to normalize.

Returns

  • Normalized wave function.
source
Main.SchrödingerSolver.Utils.read_int — Method
read_int(prompt::String, default::Int)

Reads an integer from the user with a prompt. If the user presses enter without input, returns the default value.

Arguments

  • prompt: The prompt message to display.
  • default: The default value to return if no input is provided.

Returns

  • The user-entered integer or the default value.
source
Main.SchrödingerSolver.Utils.read_number — Method
read_number(prompt::String, default::Float64)

Reads a floating-point number from the user with a prompt. If the user presses enter without input, returns the default value.

Arguments

  • prompt: The prompt message to display.
  • default: The default value to return if no input is provided.

Returns

  • The user-entered number or the default value.
source
+Utils · SchrödingerSolver Documentation
GitHub

Utils Module

The Utils module includes utility functions that assist with data processing, normalization, and parameter handling.

Main.SchrödingerSolver.Utils.get_parameters — Method
get_parameters(choice::String)

Retrieves parameters based on the user's selection.

Arguments

  • choice: User selection for the potential type.

Returns

  • (N, v, s, potential_gaussian_integral, potential_params, potential_name, num_levels): Parameters for solving the Schrödinger equation.
source
Main.SchrödingerSolver.Utils.get_potential_function — Method
get_potential_function(choice::String)

Selects the potential function based on user's choice.

Arguments

  • choice: User selection for the potential type.

Returns

  • [(potential_gaussian_integral, potential_name, potential_params)]: Potential function and parameters.
source
Main.SchrödingerSolver.Utils.normalize_wavefunction — Method
normalize_wavefunction(x_vals::AbstractVector{Float64}, ψ::AbstractVector{Float64})::Vector{Float64}

Normalizes the wave function ψ based on the integration over x_vals.

Arguments

  • x_vals: Vector of x values.
  • ψ: Wave function to normalize.

Returns

  • Normalized wave function.
source
Main.SchrödingerSolver.Utils.read_int — Method
read_int(prompt::String, default::Int)

Reads an integer from the user with a prompt. If the user presses enter without input, returns the default value.

Arguments

  • prompt: The prompt message to display.
  • default: The default value to return if no input is provided.

Returns

  • The user-entered integer or the default value.
source
Main.SchrödingerSolver.Utils.read_number — Method
read_number(prompt::String, default::Float64)

Reads a floating-point number from the user with a prompt. If the user presses enter without input, returns the default value.

Arguments

  • prompt: The prompt message to display.
  • default: The default value to return if no input is provided.

Returns

  • The user-entered number or the default value.
source