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#include <stdbool.h>
#include <math.h>
#include "epsilon.h"
#include "point.h"
/* Operations on points with real coordinates. It is not orthogonal,
but more convenient, to have the subtraction operator return a
vector, and the addition operator return a point.
*/
Point
point_make(float const x,
float const y,
float const z) {
Point retval;
retval.x = x;
retval.y = y;
retval.z = z;
return retval;
}
bool
point_equal(Point const comparand,
Point const comparator) {
return
epsilon_equal(comparand.x, comparator.x)
&&
epsilon_equal(comparand.y, comparator.y)
&&
epsilon_equal(comparand.z, comparator.z)
;
}
Point
point_sum(Point const coord1,
Point const coord2) {
Point retval;
retval.x = coord1.x + coord2.x;
retval.y = coord1.y + coord2.y;
retval.z = coord1.z + coord2.z;
return retval;
}
Point
point_scaled(Point const coord,
float const r) {
Point retval;
retval.x = coord.x * r;
retval.y = coord.y * r;
retval.z = coord.z * r;
return retval;
}
float
point_distance(Point const p1,
Point const p2) {
/*----------------------------------------------------------------------------
Return the Euclidean distance between 'p1' and 'p2'.
-----------------------------------------------------------------------------*/
float const x = p1.x - p2.x, y = p1.y - p2.y, z = p1.z - p2.z;
return (float) sqrt(SQR(x) + SQR(y) + SQR(z));
}
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