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/* vector.c: vector/point operations. */
#define _XOPEN_SOURCE 500 /* get M_PI in math.h */
#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(float_coord const 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(vector_type const v) {
float_coord coord;
coord.x = v.dx;
coord.y = v.dy;
coord.z = v.dz;
return coord;
}
float
magnitude(vector_type const v) {
return sqrt(SQR(v.dx) + SQR(v.dy) + SQR(v.dz));
}
vector_type
normalize(vector_type const v) {
vector_type new_v;
float const m = magnitude(v);
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(vector_type const v1,
vector_type const 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(vector_type const v1,
vector_type const v2) {
return v1.dx * v2.dx + v1.dy * v2.dy + v1.dz * v2.dz;
}
vector_type
Vmult_scalar(vector_type const v,
float const 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(vector_type const in_vector,
vector_type const out_vector,
at_exception_type * const exP) {
vector_type const v1 = normalize(in_vector);
vector_type const v2 = normalize(out_vector);
return acos_d(Vdot(v2, v1), exP);
}
float_coord
Vadd_point(float_coord const c,
vector_type const 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(float_coord const c,
vector_type const 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(vector_type const 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(float_coord const coord1,
float_coord const 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(float_coord const coord,
float const r) {
float_coord answer;
answer.x = coord.x * r;
answer.y = coord.y * r;
answer.z = coord.z * r;
return answer;
}
vector_type
Psubtract(float_coord const c1,
float_coord const c2) {
vector_type v;
v.dx = c1.x - c2.x;
v.dy = c1.y - c2.y;
v.dz = c1.z - c2.z;
return v;
}
vector_type
Pdirection(float_coord const final,
float_coord const initial) {
return normalize(Psubtract(final, initial));
}
/* 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 const v,
at_exception_type * const excepP) {
float vAdj;
float a;
float retval;
if (epsilon_equal(v, 1.0))
vAdj = 1.0;
else if (epsilon_equal(v, -1.0))
vAdj = -1.0;
else
vAdj = v;
errno = 0;
a = acos(vAdj);
if (errno == ERANGE || errno == EDOM) {
at_exception_fatal(excepP, strerror(errno));
retval = 0.0;
} else
retval = a * 180.0 / M_PI;
return retval;
}
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