this clipping algorithm code: $"$#include

#include

#include

#include "vec.h$"$

struct Triangle

$\{$

vec$4$ A$,$B$,$C;

$\}$;

std::vector Clip$($const Triangle& tri$)\{$

std::vector result;

double planes$[6][4]=\{$

$\{1\mathrm{.}0,0\mathrm{.}0,0\mathrm{.}0,1\mathrm{.}0\},//$ Right plane

$\{-1\mathrm{.}0,0\mathrm{.}0,0\mathrm{.}0,1\mathrm{.}0\},//$ Left plane

$\{0\mathrm{.}0,1\mathrm{.}0,0\mathrm{.}0,1\mathrm{.}0\},//$ Top plane

$\{0\mathrm{.}0,-1\mathrm{.}0,0\mathrm{.}0,1\mathrm{.}0\},//$ Bottom plane

$\{0\mathrm{.}0,0\mathrm{.}0,1\mathrm{.}0,1\mathrm{.}0\},//$ Far plane

$\{0\mathrm{.}0,0\mathrm{.}0,-1\mathrm{.}0,1\mathrm{.}0\}//$ Near plane

$\}$;

for $($int i $=0$; i $<6$; $++$i$)\{$

std::vector vertices;

vertices.push$\_$back$($tri$.$A$)$;

vertices.push$\_$back$($tri$.$B$)$;

vertices.push$\_$back$($tri$.$C$)$;

std::vector clipped;

for $($int j $=0$; j $<3$; $++$j$)\{$

vec$4$ v$0=$ vertices$[$j$]$;

vec$4$ v$1=$ vertices$[($j $+1)\%3]$;

double d$0=$ planes$[$i$][0]*$ v$0[0]+$ planes$[$i$][1]*$ v$0[1]+$ planes$[$i$][2]*$ v$0[2]+$ planes$[$i$][3]*$ v$0[3]$;

double d$1=$ planes$[$i$][0]*$ v$1[0]+$ planes$[$i$][1]*$ v$1[1]+$ planes$[$i$][2]*$ v$1[2]+$ planes$[$i$][3]*$ v$1[3]$;

if $($d$0>=0$ && d$1>=0)\{$

clipped.push$\_$back$($v$0)$;

$\}$

else if $($d$0>=0$ && d$1<0)\{$

double t $=$ d$0/($d$0-$ d$1)$;

vec$4$ intersection;

for $($int k $=0$; k $<4$; $++$k$)\{$

intersection$[$k$]=$ v$0[$k$]+($v$1[$k$]-$ v$0[$k$])*$ t;

$\}$

clipped.push$\_$back$($intersection$)$;

$\}$

else if $($d$0<0$ && d$1>=0)\{$

double t $=$ d$0/($d$0-$ d$1)$;

vec$4$ intersection;

for $($int k $=0$; k $<4$; $++$k$)\{$

intersection$[$k$]=$ v$0[$k$]+($v$1[$k$]-$ v$0[$k$])*$ t;

$\}$

clipped.push$\_$back$($intersection$)$;

$\}$

$\}$

if $($clipped$.$size$()>=3)\{$

bool intersectsAnyPlane $=$ false;

for $($const auto& vertex : clipped$)\{$

double w $=$ vertex$[3]$;

for $($int i $=0$; i $<6$; $++$i$)\{$

double d $=$ planes$[$i$][0]*$ vertex$[0]+$ planes$[$i$][1]*$ vertex$[1]+$ planes$[$i$][2]*$ vertex$[2]+$ planes$[$i$][3]*$ w;

std::cout $<<"$d: $"<<$ d $<<$ std::endl;

if $($d $<0$ && $!($i $==5$ && d $<0))\{$

intersectsAnyPlane $=$ true;

break;

$\}$

$\}$

if $($intersectsAnyPlane$)\{$

break;

$\}$

$\}$

if $($intersectsAnyPlane$)\{$

Triangle clippedTri;

clippedTri.A $=$ clipped$[0]$;

clippedTri.B $=$ clipped$[1]$;

clippedTri.C $=$ clipped$[2]$;

result.push$\_$back$($clippedTri$)$;

$\}$

$\}$

$\}$

return result;

$\}"$ is giving me these errors: "vertex of clipped triangle is outside clipping volume

input $(-0\mathrm{.}943233-0\mathrm{.}7394280\mathrm{.}906402-0\mathrm{.}619218)(-0\mathrm{.}8932530\mathrm{.}453582-0\mathrm{.}08159310\mathrm{.}218618)(-0\mathrm{.}589670\mathrm{.}859866-0\mathrm{.}723141-0\mathrm{.}762994)$

output $(-0\mathrm{.}943233-0\mathrm{.}7394280\mathrm{.}906402-0\mathrm{.}619218)(-0\mathrm{.}6306110\mathrm{.}805074-0\mathrm{.}63662-0\mathrm{.}630611)(-0\mathrm{.}7128880\mathrm{.}302507-0\mathrm{.}15524-0\mathrm{.}712888)$

FAIL" please help me fix it