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5 changes: 3 additions & 2 deletions numpy_quaternion.c
Original file line number Diff line number Diff line change
Expand Up @@ -308,7 +308,7 @@ QUATERNION_nonzero (char *ip, PyArrayObject *ap)
descr->f->copyswap(&q.z, ip+24, !PyArray_ISNOTSWAPPED(ap), NULL);
Py_DECREF(descr);
}
return (npy_bool) !quaternion_equal(q, (quaternion) {0,0,0,0});
return (npy_bool) !quaternion_equal(q, quaternion_new(0,0,0,0));
}

static void
Expand Down Expand Up @@ -480,7 +480,8 @@ BINARY_UFUNC(subtract, quaternion)
BINARY_UFUNC(multiply, quaternion)
BINARY_UFUNC(divide, quaternion)
BINARY_UFUNC(power, quaternion)
BINARY_UFUNC(copysign, quaternion)
/* Some bug in the visual studio compiler means this must be expanded by hand */
BINARY_GEN_UFUNC(copysign, copysign, quaternion, quaternion)
BINARY_UFUNC(equal, npy_bool)
BINARY_UFUNC(not_equal, npy_bool)
BINARY_UFUNC(less, npy_bool)
Expand Down
101 changes: 80 additions & 21 deletions quaternion.c
Original file line number Diff line number Diff line change
Expand Up @@ -31,6 +31,68 @@

#define _QUAT_EPS 1e-6

#ifndef isnan
static int
isnan(double var)
{
volatile double d = var;
return d != d;
}
#endif

#ifndef isinf
static int
isinf(double x)
{
return !isnan(x) && isnan(x - x);
}
#endif

#ifndef isfinite
static int
isfinite(double x)
{
return !isinf(x);
}
#endif

#ifndef copysign

typedef union {
struct {
unsigned long hi;
unsigned long lo;
} i;
double d;
} hexdouble;

static double
copysign(double x, double y)
{
hexdouble hx, hy;

hx.d = x;
hy.d = y;

hx.i.hi &= 0x7fffffff;
hx.i.hi |= hy.i.hi & 0x80000000;

return hx.d;
}

#endif

quaternion
quaternion_new(double w, double x, double y, double z)
{
quaternion q;
q.w = w;
q.x = x;
q.y = y;
q.z = z;
return q;
}

int
quaternion_isnonzero(quaternion q)
{
Expand Down Expand Up @@ -64,58 +126,55 @@ quaternion_absolute(quaternion q)
quaternion
quaternion_add(quaternion q1, quaternion q2)
{
return (quaternion) {
return quaternion_new(
q1.w+q2.w,
q1.x+q2.x,
q1.y+q2.y,
q1.z+q2.z,
};
q1.z+q2.z);
}

quaternion
quaternion_subtract(quaternion q1, quaternion q2)
{
return (quaternion) {
return quaternion_new(
q1.w-q2.w,
q1.x-q2.x,
q1.y-q2.y,
q1.z-q2.z,
};
q1.z-q2.z);
}

quaternion
quaternion_multiply(quaternion q1, quaternion q2)
{
return (quaternion) {
return quaternion_new(
q1.w*q2.w - q1.x*q2.x - q1.y*q2.y - q1.z*q2.z,
q1.w*q2.x + q1.x*q2.w + q1.y*q2.z - q1.z*q2.y,
q1.w*q2.y - q1.x*q2.z + q1.y*q2.w + q1.z*q2.x,
q1.w*q2.z + q1.x*q2.y - q1.y*q2.x + q1.z*q2.w,
};
q1.w*q2.z + q1.x*q2.y - q1.y*q2.x + q1.z*q2.w);
}

quaternion
quaternion_divide(quaternion q1, quaternion q2)
{
double s = q2.w*q2.w + q2.x*q2.x + q2.y*q2.y + q2.z*q2.z;
return (quaternion) {
return quaternion_new (
( q1.w*q2.w + q1.x*q2.x + q1.y*q2.y + q1.z*q2.z) / s,
(- q1.w*q2.x + q1.x*q2.w + q1.y*q2.z - q1.z*q2.y) / s,
(- q1.w*q2.y - q1.x*q2.z + q1.y*q2.w + q1.z*q2.x) / s,
(- q1.w*q2.z + q1.x*q2.y - q1.y*q2.x + q1.z*q2.w) / s
};
);
}

quaternion
quaternion_multiply_scalar(quaternion q, double s)
{
return (quaternion) {s*q.w, s*q.x, s*q.y, s*q.z};
return quaternion_new(s*q.w, s*q.x, s*q.y, s*q.z);
}

quaternion
quaternion_divide_scalar(quaternion q, double s)
{
return (quaternion) {q.w/s, q.x/s, q.y/s, q.z/s};
return quaternion_new(q.w/s, q.x/s, q.y/s, q.z/s);
}

quaternion
Expand All @@ -126,9 +185,9 @@ quaternion_log(quaternion q)
if (vnorm > _QUAT_EPS) {
double m = sqrt(q.w*q.w + sumvsq);
double s = acos(q.w/m) / vnorm;
return (quaternion) {log(m), s*q.x, s*q.y, s*q.z};
return quaternion_new(log(m), s*q.x, s*q.y, s*q.z);
} else {
return (quaternion) {0, 0, 0, 0};
return quaternion_new(0, 0, 0, 0);
}
}

Expand All @@ -139,9 +198,9 @@ quaternion_exp(quaternion q)
if (vnorm > _QUAT_EPS) {
double s = sin(vnorm) / vnorm;
double e = exp(q.w);
return (quaternion) {e*cos(vnorm), e*s*q.x, e*s*q.y, e*s*q.z};
return quaternion_new(e*cos(vnorm), e*s*q.x, e*s*q.y, e*s*q.z);
} else {
return (quaternion) {exp(q.w), 0, 0, 0};
return quaternion_new(exp(q.w), 0, 0, 0);
}
}

Expand All @@ -160,24 +219,24 @@ quaternion_power_scalar(quaternion q, double p)
quaternion
quaternion_negative(quaternion q)
{
return (quaternion) {-q.w, -q.x, -q.y, -q.z};
return quaternion_new(-q.w, -q.x, -q.y, -q.z);
}

quaternion
quaternion_conjugate(quaternion q)
{
return (quaternion) {q.w, -q.x, -q.y, -q.z};
return quaternion_new(q.w, -q.x, -q.y, -q.z);
}

quaternion
quaternion_copysign(quaternion q1, quaternion q2)
{
return (quaternion) {
return quaternion_new(
copysign(q1.w, q2.w),
copysign(q1.x, q2.x),
copysign(q1.y, q2.y),
copysign(q1.z, q2.z)
};
);
}

int
Expand Down
1 change: 1 addition & 0 deletions quaternion.h
Original file line number Diff line number Diff line change
Expand Up @@ -40,6 +40,7 @@ typedef struct {
double z;
} quaternion;

quaternion quaternion_new(double w, double x, double y, double z);
int quaternion_isnonzero(quaternion q);
int quaternion_isnan(quaternion q);
int quaternion_isinf(quaternion q);
Expand Down