Please help with all tasks of lab.

Here is my header.h

#ifndef PARTICLE$\_$H

#define PARTICLE$\_$H

#include

struct Coord$3$D $\{$

double x;

double y;

double z;

$\}$;

$//$ get the distance from the given coordinate to the origin

double length$($const Coord$3$D$*$ p$)$;

$//$ return the coordinate that's farthest from the origin

Coord$3$D$*$ fartherFromOrigin$($Coord$3$D$*$ p$1,$ Coord$3$D$*$ p$2)$;

$//$ advance the position of the coordinate traveling at a given speed for a

$//$ given time

void moveCoord$3$D$($Coord$3$D$*$ ppos, const Coord$3$D$*$ pvel, double dt$)$;

struct Particle $\{$

public:

double x;

double y;

double z;

double vx;

double vy;

double vz;

static size$\_$t getNumAllocations$()\{$ return $\_$num$\_$allocations; $\}$

void$*$ operator new$($const size$\_$t t$)\{$

$($void$)$t;

$\_$num$\_$allocations$++$;

return ::new Particle$()$;

$\}$

void operator delete$($void $*$const p$)\{$

$\_$num$\_$allocations$--$;

free$($p$)$;

$\}$

private:

static size$\_$t $\_$num$\_$allocations;

$\}$;

$//$ dynamically allocate memory for a particle and initialize it

Particle$*$ createParticle$($double x$,$ double y$,$ double z$,$

double vx$,$ double vy$,$ double vz$)$;

$//$ set its velocity to $($vx$,$ vy$,$ vz$)$

void setVelocity$($Particle$*$ p$,$ double vx$,$ double vy$,$ double vz$)$;

$//$ get its current position

Coord$3$D getPosition$($const Particle$*$ p$)$;

$//$ update particle's position after elapsed time dt

void moveParticle$($Particle$*$ p$,$ double dt$)$;

$//$ delete all memory allocated for the particle passed by pointer

void deleteParticle$($const Particle$*$ p$)$;

#endif $//$ PARTICLE$\_$H

My Current Code. I am keep running into errors and I am not sure what's wrong?

#include

#include

struct Coord$3$D $\{$

double x;

double y;

double z;

$\}$;

double length$($const Coord$3$D$*$ p$)\{$

double dist $=$ std::sqrt$($p$->$x $*$ p$->$x $+$ p$->$y $*$ p$->$y $+$ p$->$z $*$ p$->$z$)$;

return dist;

$\}$

Coord$3$D$*$ fartherFromOrigin$($Coord$3$D$*$ p$1,$ Coord$3$D$*$ p$2)\{$

double dist$1=$ length$($p$1)$;

double dist$2=$ length$($p$2)$;

if $($dist$1>$ dist$2)\{$

return p$1$;

$\}$ else $\{$

return p$2$;

$\}$

$\}$

void moveCoord$3$D$($Coord$3$D$*$ ppos, const Coord$3$D$*$ pvel, double dt$)\{$

ppos$->$x $+=$ pvel$->$x $*$ dt;

ppos$->$y $+=$ pvel$->$y $*$ dt;

ppos$->$z $+=$ pvel$->$z $*$ dt;

$\}$

size$\_$t Particle::$\_$num$\_$allocations $=0$;

Particle$*$ createParticle$($double x$,$ double y$,$ double z$,$

double vx$,$ double vy$,$ double vz$)\{$

Particle$*$ particle $=$ new Particle$()$;

particle$->$x $=$ x;

particle$->$y $=$ y;

particle$->$z $=$ z;

particle$->$vx $=$ vx;

particle$->$vy $=$ vy;

particle$->$vz $=$ vz;

return particle;

$\}$

void setVelocity$($Particle$*$ p$,$ double vx$,$ double vy$,$ double vz$)\{$

p$->$vx $=$ vx;

p$->$vy $=$ vy;

p$->$vz $=$ vz;

$\}$

Coord$3$D getPosition$($const Particle$*$ p$)\{$

Coord$3$D pos $=\{$ p$->$x$,$ p$->$y$,$ p$->$z $\}$;

return pos;

$\}$

void moveParticle$($Particle$*$ p$,$ double dt$)\{$

moveCoord$3$D$($&$($getPosition$($p$)),$ &$($Coord$3$D$\{$ p$->$vx$,$ p$->$vy$,$ p$->$vz $\}),$ dt$)$;

$\}$

void deleteParticle$($const Particle$*$ p$)\{$

delete p;

$\}$

int main$()\{$

Coord$3$D pointP $=\{10,20,30\}$;

std::cout $<<$ "Length of pointP: $"<<$ length$($&pointP$)<<$ std::endl;

Coord$3$D pointQ $=\{-20,21,-22\}$;

Coord$3$D$*$ farthest $=$ fartherFromOrigin$($&pointP, &pointQ$)$;

std::cout $<<$ "Farthest from origin: $("<<$ farthest$->$x $<<","<<$ farthest$->$y $<<","<<$ farthest$->$z $<<")"<<$ std::endl;

Coord$3$D pos $=\{0,0,100\mathrm{.}0\}$;

Coord$3$D vel $=\{1,-5,0\mathrm{.}2\}$;

moveCoord$3$D$($&pos, &vel, $2\mathrm{.}0)$;

std::cout $<<$ "New position: $("<<$ pos.x $<<","<<$ pos.y $<<","<<$ pos.z $<<")"<<$ std::endl;

Particle$*$ particle $=$ createParticle$(0,0,100\mathrm{.}0,1,-5,0\mathrm{.}2)$;

std::cout $<<$ "Current position: $("<<$ getPosition$($particle$).$x $<<","<<$ getPosition$($particle$).$y $<<","<<$ getPosition$($particle$).$z $<<")"<<$ std::endl;

moveParticle$($particle$,2\mathrm{.}0)$;

std::cout $<<$ "New position: $("<<$ getPosition$($particle$).$x $<<","<<$ getPosition$($particle$).$y $<<","<<$ getPosition$($particle$).$z $<<")"<<$ std::endl;

deleteParticle$($particle$)$;

return $0$;

$\}$