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/* vector.c: vector/point operations. */
#include <math.h>
#include <errno.h>
#include <assert.h>
#include <string.h>
#include "pm_c_util.h"
#include "vector.h"
#include "message.h"
#include "epsilon-equal.h"
static float acos_d (float, at_exception_type * excep);
/* Given the point COORD, return the corresponding vector. */
vector_type
make_vector (const float_coord c)
{
vector_type v;
v.dx = c.x;
v.dy = c.y;
v.dz = c.z;
return v;
}
/* And the converse: given a vector, return the corresponding point. */
float_coord
vector_to_point (const vector_type v)
{
float_coord coord;
coord.x = v.dx;
coord.y = v.dy;
return coord;
}
float
magnitude (const vector_type v)
{
return (float) sqrt (v.dx * v.dx + v.dy * v.dy + v.dz * v.dz);
}
vector_type
normalize (const vector_type v)
{
vector_type new_v;
float m = magnitude (v);
/* assert (m > 0.0); */
if (m > 0.0)
{
new_v.dx = v.dx / m;
new_v.dy = v.dy / m;
new_v.dz = v.dz / m;
}
else
{
new_v.dx = v.dx;
new_v.dy = v.dy;
new_v.dz = v.dz;
}
return new_v;
}
vector_type
Vadd (const vector_type v1, const vector_type v2)
{
vector_type new_v;
new_v.dx = v1.dx + v2.dx;
new_v.dy = v1.dy + v2.dy;
new_v.dz = v1.dz + v2.dz;
return new_v;
}
float
Vdot (const vector_type v1, const vector_type v2)
{
return v1.dx * v2.dx + v1.dy * v2.dy + v1.dz * v2.dz;
}
vector_type
Vmult_scalar (const vector_type v, const float r)
{
vector_type new_v;
new_v.dx = v.dx * r;
new_v.dy = v.dy * r;
new_v.dz = v.dz * r;
return new_v;
}
/* Given the IN_VECTOR and OUT_VECTOR, return the angle between them in
degrees, in the range zero to 180. */
float
Vangle (const vector_type in_vector,
const vector_type out_vector,
at_exception_type * exp)
{
vector_type v1 = normalize (in_vector);
vector_type v2 = normalize (out_vector);
return acos_d (Vdot (v2, v1), exp);
}
float_coord
Vadd_point (const float_coord c, const vector_type v)
{
float_coord new_c;
new_c.x = c.x + v.dx;
new_c.y = c.y + v.dy;
new_c.z = c.z + v.dz;
return new_c;
}
float_coord
Vsubtract_point (const float_coord c, const vector_type v)
{
float_coord new_c;
new_c.x = c.x - v.dx;
new_c.y = c.y - v.dy;
new_c.z = c.z - v.dz;
return new_c;
}
pm_pixelcoord
Vadd_int_point(pm_pixelcoord const c,
vector_type const v) {
pm_pixelcoord a;
a.col = ROUND ((float) c.col + v.dx);
a.row = ROUND ((float) c.row + v.dy);
return a;
}
vector_type
Vabs (const vector_type v)
{
vector_type new_v;
new_v.dx = (float) fabs (v.dx);
new_v.dy = (float) fabs (v.dy);
new_v.dz = (float) fabs (v.dz);
return new_v;
}
/* Operations on points. */
float_coord
Padd (const float_coord coord1, const float_coord coord2)
{
float_coord sum;
sum.x = coord1.x + coord2.x;
sum.y = coord1.y + coord2.y;
sum.z = coord1.z + coord2.z;
return sum;
}
float_coord
Pmult_scalar (const float_coord coord, const float r)
{
float_coord answer;
answer.x = coord.x * r;
answer.y = coord.y * r;
answer.z = coord.z * r;
return answer;
}
vector_type
Psubtract (const float_coord c1, const float_coord c2)
{
vector_type v;
v.dx = c1.x - c2.x;
v.dy = c1.y - c2.y;
v.dz = c1.z - c2.z;
return v;
}
/* Operations on integer points. */
vector_type
IPsubtract(pm_pixelcoord const coord1,
pm_pixelcoord const coord2) {
vector_type v;
v.dx = (int) (coord1.col - coord2.col);
v.dy = (int) (coord1.row - coord2.row);
v.dz = 0.0;
return v;
}
static float
acos_d (float v, at_exception_type * excep)
{
float a;
if (epsilon_equal (v, 1.0))
v = 1.0;
else if (epsilon_equal (v, -1.0))
v = -1.0;
errno = 0;
a = (float) acos (v);
if (errno == ERANGE || errno == EDOM)
{
at_exception_fatal(excep, strerror(errno));
return 0.0;
}
return a * (float) 180.0 / (float) M_PI;
}
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