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/* vector.c: vector/point operations. */
#ifdef HAVE_CONFIG_H
#include "config.h"
#endif /* Def: HAVE_CONFIG_H */
#include "vector.h"
#include "logreport.h"
#include "epsilon-equal.h"
#include <math.h>
#include <errno.h>
#include <assert.h>
#include <string.h>
static gfloat acos_d(gfloat, at_exception_type * excep);
#define _USE_MATH_DEFINES
#include <math.h>
/* Given the point COORD, return the corresponding vector. */
vector_type make_vector(const at_real_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. */
at_real_coord vector_to_point(const vector_type v)
{
at_real_coord coord;
coord.x = v.dx;
coord.y = v.dy;
return coord;
}
gfloat magnitude(const vector_type v)
{
return (gfloat) sqrt(v.dx * v.dx + v.dy * v.dy + v.dz * v.dz);
}
vector_type normalize(const vector_type v)
{
vector_type new_v;
gfloat 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;
}
gfloat 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 gfloat 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. */
gfloat 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);
}
at_real_coord Vadd_point(const at_real_coord c, const vector_type v)
{
at_real_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;
}
at_real_coord Vsubtract_point(const at_real_coord c, const vector_type v)
{
at_real_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;
}
at_coord Vadd_int_point(const at_coord c, const vector_type v)
{
at_coord a;
a.x = (unsigned short)lround((gfloat) c.x + v.dx);
a.y = (unsigned short)lround((gfloat) c.y + v.dy);
return a;
}
vector_type Vabs(const vector_type v)
{
vector_type new_v;
new_v.dx = (gfloat) fabs(v.dx);
new_v.dy = (gfloat) fabs(v.dy);
new_v.dz = (gfloat) fabs(v.dz);
return new_v;
}
/* Operations on points. */
at_real_coord Padd(const at_real_coord coord1, const at_real_coord coord2)
{
at_real_coord sum;
sum.x = coord1.x + coord2.x;
sum.y = coord1.y + coord2.y;
sum.z = coord1.z + coord2.z;
return sum;
}
at_real_coord Pmult_scalar(const at_real_coord coord, const gfloat r)
{
at_real_coord answer;
answer.x = coord.x * r;
answer.y = coord.y * r;
answer.z = coord.z * r;
return answer;
}
vector_type Psubtract(const at_real_coord c1, const at_real_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(const at_coord coord1, const at_coord coord2)
{
vector_type v;
v.dx = (gfloat) (coord1.x - coord2.x);
v.dy = (gfloat) (coord1.y - coord2.y);
v.dz = 0.0;
return v;
}
at_coord IPsubtractP(const at_coord c1, const at_coord c2)
{
at_coord c;
c.x = c1.x - c2.x;
c.y = c1.y - c2.y;
return c;
}
at_coord IPadd(const at_coord c1, const at_coord c2)
{
at_coord c;
c.x = c1.x + c2.x;
c.y = c1.y + c2.y;
return c;
}
at_coord IPmult_scalar(const at_coord c, const int i)
{
at_coord a;
a.x = (unsigned short)(c.x * i);
a.y = (unsigned short)(c.y * i);
return a;
}
at_real_coord IPmult_real(const at_coord c, const gfloat r)
{
at_real_coord a;
a.x = c.x * r;
a.y = c.y * r;
return a;
}
gboolean IPequal(const at_coord c1, const at_coord c2)
{
if ((c1.x == c2.x) && (c1.y == c2.y))
return TRUE;
else
return FALSE;
}
static gfloat acos_d(gfloat v, at_exception_type * excep)
{
gfloat a;
if (epsilon_equal(v, 1.0))
v = 1.0;
else if (epsilon_equal(v, -1.0))
v = -1.0;
errno = 0;
a = (gfloat) acos(v);
if (errno == ERANGE || errno == EDOM) {
at_exception_fatal(excep, strerror(errno));
return 0.0;
}
return a * (gfloat) 180.0 / (gfloat) M_PI;
}
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