DU$14$ "klas Lagrange$\_$Polynomial:

def $\_\_$init$\_\_($onwe$,$ data$\_$x$,$ data$\_$y$)$:

$\text{'}\text{'}$

Mb$$ any$$ kwes$$r$$lele ma vectors ntinye $($numpy arrays$)$ h$$ nhata

ma $$ b$$ b$$gh$.$

ikwup$$ta $($n$$d$),""$msg$""$

iwu a na$-$enyocha ma $$n$$d$$ a b$$ eziokwu ma $$ b$$gha$.$ b$$r$$ eziokwu, koodu

na$-$agba $$s$$ nk$$t$.$ Mana $$ b$$r$$gha$,$ koodu ah$$ weghachiri ozi mperi $""$msg$"$

ma kw$$s$$ ogbugbu

$\text{'}\text{'}$

len ikwu $($data$\_$x$)==$ oghere $($data$\_$y$),""$ ogologo data$\_$x na data$\_$y ga$-$ab$$r$$r$$ nhata""

$\text{'}\text{'}$

Lagrange polynomials anagh$$ eji coefficeints a$\_$i$,$ kama $$n$$

$($x$\_$i$,$ y$\_$i$).$ N'ihi ya$,$ any$$ kwes$$r$$chekwa ihe nd$$ a n'ime ihe

$\text{'}\text{'}$

self.data$\_$x $=$ data$\_$x

self.data$\_$y $=$ data$\_$y

self.degree $=$ len $($data$\_$x$)-1$

# any$$ na$-$eche na ntinye b$$n$$g$$n$$g$,$ yab$$ any$$ nwere ike $$r$$ ya

# elementr$$ ar$$m$$r$$

def $\_\_$repr$\_\_($onwe$)$:

# usoro maka ngosip$$ta eriri

# $$kwesighi ichegbu onwe g$$ maka koodu na$-$eson$$ ma $$ b$$r$$ na $$ gh$$tagh$$

strL $=$ f$""$LagrangePolynomial of order $\{$self$.$degree$\}$

$""$

strL $+=""$p$($x$)=""$

n'ihi na m n$$ na nso $($len$($self$.$data$\_$y$))$:

$$ b$$r$$ self.data$\_$y$[$i$]==0$:

gaa n'ihu

elif self.data$\_$y$[$i$]>=0$:

strL $+=$ f$""+\{$self$.$data$\_$y$[$i$]\}*$l$\_\{$i$\}($x$)""$

$$z$$:

strL $+=$ f$""-\{-$self.data$\_$y$[$i$]\}*$l$\_\{$i$\}($x$)""$

laghachi strL

def l $($onwe$,$ k$,$ x$)$:

$\text{'}\text{'}$

Usoro a na$-$ar$$r$$ Lagrange Basis nke a ga$-$eji na$-$emek$$r$$ta ihe

na$-$eji Lagrange Polynomials.

$\text{'}\text{'}$

l$\_$k $=1\mathrm{.}0$ # Mmalite

$--------------------------------------------------$

# Koodu g$$ ebe a

# welie mperi emebegh$$ eme$()$

#

# ND$$M$$D$$ maka usoro loop: Kwes$$r$$d$$ ka

# x$\_$k $=$ onwe.data$\_$x$[$k$]$

# maka j na oke $($self$.$degree $+1)$:

# l$\_$k$*=?????$

#

# ND$$M$$D$$ maka usoro VECTORIZED $($enwegh$$ loops$)$:

# Google ka esi eji np$.$prod na np$.$delete

# l$\_$k $=$ np$.$prod$(??$ np$.$delete$(??)??)/$ np$.$prod$(??$ np$.$delete$(??)??)$

$--------------------------------------------------$

laghachi l$\_$k

def $\_\_$call$\_\_($onwe$,$ x$\_$arr$)$:

$""""""$

Usoro iji mee ka ihe ah$$ nwee ike $$kp$($lee koodu nke usoro matrix$).$

$\text{'}$x$\_$arr' b$$ ihe at$$nyere isi ihe $($usoro $$n$$g$$g$).$ ga$-$eji

self.data$\_$x na self.data$\_$y iji ch$$ta mmep$$ta interpolated nke

polynomial maka ihe niile nke $\text{'}$x$\_$arr'.

Mejuputa d$$ ka $$ch$$r$$ mana $$n$$g$$g$\text{'}$ng$$k$$ta$\text{'}$ g$$ ebe mmewere i'th

p$\_$x$\_$arr$[$i$]$ na$-$an$$chi anya uru agbakwunyere nke p$($x$\_$arr$[$i$]).$

$""""""$

# jiri efu bido

p$\_$x$\_$arr $=$ np$.$zeros$($len$($x$\_$arr$))$

$--------------------------------------------------$

# Koodu g$$ ebe a

bulite NotImplementedError$()$

#

# ND$$M$$D$$: Kwes$$r$$d$$ ka

# maka m$,$ x na ng$$k$($x$\_$arr$)$:

# maka k na oke $($self$.$degree $+1)$:

# $??????$

# p$\_$x$\_$arr$[$i$]=???$ self.data$\_$y$[$k$]???$ onwe.l $($k$,$ x$)$

$--------------------------------------------------$

laghachi p$\_$x$\_$arr"