blender-archive/source/blender/python/mathutils/mathutils_Vector.c

/*
 * This program is free software; you can redistribute it and/or
 * modify it under the terms of the GNU General Public License
 * as published by the Free Software Foundation; either version 2
 * of the License, or (at your option) any later version.
 *
 * This program is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.
 *
 * You should have received a copy of the GNU General Public License
 * along with this program; if not, write to the Free Software Foundation,
 * Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
 */

/** \file
 * \ingroup pymathutils
 */


#include <Python.h>

#include "mathutils.h"

#include "BLI_math.h"
#include "BLI_utildefines.h"

#include "../generic/py_capi_utils.h"

#ifndef MATH_STANDALONE
#  include "BLI_dynstr.h"
#endif

/**
 * Higher dimensions are supported, for many common operations
 * (dealing with vector/matrix multiply or handling as 3D locations)
 * stack memory is used with a fixed size - defined here.
 */
#define MAX_DIMENSIONS 4

/* Swizzle axes get packed into a single value that is used as a closure. Each
 * axis uses SWIZZLE_BITS_PER_AXIS bits. The first bit (SWIZZLE_VALID_AXIS) is
 * used as a sentinel: if it is unset, the axis is not valid. */
#define SWIZZLE_BITS_PER_AXIS 3
#define SWIZZLE_VALID_AXIS 0x4
#define SWIZZLE_AXIS       0x3

static PyObject *Vector_copy(VectorObject *self);
static PyObject *Vector_deepcopy(VectorObject *self, PyObject *args);
static PyObject *Vector_to_tuple_ext(VectorObject *self, int ndigits);
static int row_vector_multiplication(float rvec[MAX_DIMENSIONS], VectorObject *vec, MatrixObject *mat);

/**
 * Supports 2D, 3D, and 4D vector objects both int and float values
 * accepted. Mixed float and int values accepted. Ints are parsed to float
 */
static PyObject *Vector_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
{
	float *vec = NULL;
	int size = 3; /* default to a 3D vector */

	if (kwds && PyDict_Size(kwds)) {
		PyErr_SetString(PyExc_TypeError,
		                "Vector(): "
		                "takes no keyword args");
		return NULL;
	}

	switch (PyTuple_GET_SIZE(args)) {
		case 0:
			vec = PyMem_Malloc(size * sizeof(float));

			if (vec == NULL) {
				PyErr_SetString(PyExc_MemoryError,
				                "Vector(): "
				                "problem allocating pointer space");
				return NULL;
			}

			copy_vn_fl(vec, size, 0.0f);
			break;
		case 1:
			if ((size = mathutils_array_parse_alloc(&vec, 2, PyTuple_GET_ITEM(args, 0), "mathutils.Vector()")) == -1) {
				return NULL;
			}
			break;
		default:
			PyErr_SetString(PyExc_TypeError,
			                "mathutils.Vector(): "
			                "more than a single arg given");
			return NULL;
	}
	return Vector_CreatePyObject_alloc(vec, size, type);
}

static PyObject *vec__apply_to_copy(PyNoArgsFunction vec_func, VectorObject *self)
{
	PyObject *ret = Vector_copy(self);
	PyObject *ret_dummy = vec_func(ret);
	if (ret_dummy) {
		Py_DECREF(ret_dummy);
		return (PyObject *)ret;
	}
	else { /* error */
		Py_DECREF(ret);
		return NULL;
	}
}

/*-----------------------CLASS-METHODS----------------------------*/
PyDoc_STRVAR(C_Vector_Fill_doc,
".. classmethod:: Fill(size, fill=0.0)\n"
"\n"
"   Create a vector of length size with all values set to fill.\n"
"\n"
"   :arg size: The length of the vector to be created.\n"
"   :type size: int\n"
"   :arg fill: The value used to fill the vector.\n"
"   :type fill: float\n"
);
static PyObject *C_Vector_Fill(PyObject *cls, PyObject *args)
{
	float *vec;
	int size;
	float fill = 0.0f;

	if (!PyArg_ParseTuple(args, "i|f:Vector.Fill", &size, &fill)) {
		return NULL;
	}

	if (size < 2) {
		PyErr_SetString(PyExc_RuntimeError,
		                "Vector(): invalid size");
		return NULL;
	}

	vec = PyMem_Malloc(size * sizeof(float));

	if (vec == NULL) {
		PyErr_SetString(PyExc_MemoryError,
		                "Vector.Fill(): "
		                "problem allocating pointer space");
		return NULL;
	}

	copy_vn_fl(vec, size, fill);

	return Vector_CreatePyObject_alloc(vec, size, (PyTypeObject *)cls);
}

PyDoc_STRVAR(C_Vector_Range_doc,
".. classmethod:: Range(start=0, stop, step=1)\n"
"\n"
"   Create a filled with a range of values.\n"
"\n"
"   :arg start: The start of the range used to fill the vector.\n"
"   :type start: int\n"
"   :arg stop: The end of the range used to fill the vector.\n"
"   :type stop: int\n"
"   :arg step: The step between successive values in the vector.\n"
"   :type step: int\n"
);
static PyObject *C_Vector_Range(PyObject *cls, PyObject *args)
{
	float *vec;
	int stop, size;
	int start = 0;
	int step = 1;

	if (!PyArg_ParseTuple(args, "i|ii:Vector.Range", &start, &stop, &step)) {
		return NULL;
	}

	switch (PyTuple_GET_SIZE(args)) {
		case 1:
			size = start;
			start = 0;
			break;
		case 2:
			if (start >= stop) {
				PyErr_SetString(PyExc_RuntimeError,
				                "Start value is larger "
				                "than the stop value");
				return NULL;
			}

			size = stop - start;
			break;
		default:
			if (start >= stop) {
				PyErr_SetString(PyExc_RuntimeError,
				                "Start value is larger "
				                "than the stop value");
				return NULL;
			}

			size = (stop - start);

			if ((size % step) != 0) {
				size += step;
			}

			size /= step;

			break;
	}

	if (size < 2) {
		PyErr_SetString(PyExc_RuntimeError,
		                "Vector(): invalid size");
		return NULL;
	}

	vec = PyMem_Malloc(size * sizeof(float));

	if (vec == NULL) {
		PyErr_SetString(PyExc_MemoryError,
		                "Vector.Range(): "
		                "problem allocating pointer space");
		return NULL;
	}

	range_vn_fl(vec, size, (float)start, (float)step);

	return Vector_CreatePyObject_alloc(vec, size, (PyTypeObject *)cls);
}

PyDoc_STRVAR(C_Vector_Linspace_doc,
".. classmethod:: Linspace(start, stop, size)\n"
"\n"
"   Create a vector of the specified size which is filled with linearly spaced values between start and stop values.\n"
"\n"
"   :arg start: The start of the range used to fill the vector.\n"
"   :type start: int\n"
"   :arg stop: The end of the range used to fill the vector.\n"
"   :type stop: int\n"
"   :arg size: The size of the vector to be created.\n"
"   :type size: int\n"
);
static PyObject *C_Vector_Linspace(PyObject *cls, PyObject *args)
{
	float *vec;
	int size;
	float start, end, step;

	if (!PyArg_ParseTuple(args, "ffi:Vector.Linspace", &start, &end, &size)) {
		return NULL;
	}

	if (size < 2) {
		PyErr_SetString(PyExc_RuntimeError,
		                "Vector.Linspace(): invalid size");
		return NULL;
	}

	step = (end - start) / (float)(size - 1);

	vec = PyMem_Malloc(size * sizeof(float));

	if (vec == NULL) {
		PyErr_SetString(PyExc_MemoryError,
		                "Vector.Linspace(): "
		                "problem allocating pointer space");
		return NULL;
	}

	range_vn_fl(vec, size, start, step);

	return Vector_CreatePyObject_alloc(vec, size, (PyTypeObject *)cls);
}

PyDoc_STRVAR(C_Vector_Repeat_doc,
".. classmethod:: Repeat(vector, size)\n"
"\n"
"   Create a vector by repeating the values in vector until the required size is reached.\n"
"\n"
"   :arg tuple: The vector to draw values from.\n"
"   :type tuple: :class:`mathutils.Vector`\n"
"   :arg size: The size of the vector to be created.\n"
"   :type size: int\n"
);
static PyObject *C_Vector_Repeat(PyObject *cls, PyObject *args)
{
	float *vec;
	float *iter_vec = NULL;
	int i, size, value_size;
	PyObject *value;

	if (!PyArg_ParseTuple(args, "Oi:Vector.Repeat", &value, &size)) {
		return NULL;
	}

	if (size < 2) {
		PyErr_SetString(PyExc_RuntimeError,
		                "Vector.Repeat(): invalid size");
		return NULL;
	}

	if ((value_size = mathutils_array_parse_alloc(&iter_vec, 2, value,
	                                              "Vector.Repeat(vector, size), invalid 'vector' arg")) == -1)
	{
		return NULL;
	}

	if (iter_vec == NULL) {
		PyErr_SetString(PyExc_MemoryError,
		                "Vector.Repeat(): "
		                "problem allocating pointer space");
		return NULL;
	}

	vec = PyMem_Malloc(size * sizeof(float));

	if (vec == NULL) {
		PyMem_Free(iter_vec);
		PyErr_SetString(PyExc_MemoryError,
		                "Vector.Repeat(): "
		                "problem allocating pointer space");
		return NULL;
	}

	i = 0;
	while (i < size) {
		vec[i] = iter_vec[i % value_size];
		i++;
	}

	PyMem_Free(iter_vec);

	return Vector_CreatePyObject_alloc(vec, size, (PyTypeObject *)cls);
}

/*-----------------------------METHODS---------------------------- */
PyDoc_STRVAR(Vector_zero_doc,
".. method:: zero()\n"
"\n"
"   Set all values to zero.\n"
);
static PyObject *Vector_zero(VectorObject *self)
{
	if (BaseMath_Prepare_ForWrite(self) == -1) {
		return NULL;
	}

	copy_vn_fl(self->vec, self->size, 0.0f);

	if (BaseMath_WriteCallback(self) == -1) {
		return NULL;
	}

	Py_RETURN_NONE;
}

PyDoc_STRVAR(Vector_normalize_doc,
".. method:: normalize()\n"
"\n"
"   Normalize the vector, making the length of the vector always 1.0.\n"
"\n"
"   .. warning:: Normalizing a vector where all values are zero has no effect.\n"
"\n"
"   .. note:: Normalize works for vectors of all sizes,\n"
"      however 4D Vectors w axis is left untouched.\n"
);
static PyObject *Vector_normalize(VectorObject *self)
{
	int size = (self->size == 4 ? 3 : self->size);
	if (BaseMath_ReadCallback_ForWrite(self) == -1) {
		return NULL;
	}

	normalize_vn(self->vec, size);

	(void)BaseMath_WriteCallback(self);
	Py_RETURN_NONE;
}
PyDoc_STRVAR(Vector_normalized_doc,
".. method:: normalized()\n"
"\n"
"   Return a new, normalized vector.\n"
"\n"
"   :return: a normalized copy of the vector\n"
"   :rtype: :class:`Vector`\n"
);
static PyObject *Vector_normalized(VectorObject *self)
{
	return vec__apply_to_copy((PyNoArgsFunction)Vector_normalize, self);
}

PyDoc_STRVAR(Vector_resize_doc,
".. method:: resize(size=3)\n"
"\n"
"   Resize the vector to have size number of elements.\n"
);
static PyObject *Vector_resize(VectorObject *self, PyObject *value)
{
	int size;

	if (self->flag & BASE_MATH_FLAG_IS_WRAP) {
		PyErr_SetString(PyExc_TypeError,
		                "Vector.resize(): "
		                "cannot resize wrapped data - only python vectors");
		return NULL;
	}
	if (self->cb_user) {
		PyErr_SetString(PyExc_TypeError,
		                "Vector.resize(): "
		                "cannot resize a vector that has an owner");
		return NULL;
	}

	if ((size = PyC_Long_AsI32(value)) == -1) {
		PyErr_SetString(PyExc_TypeError,
		                "Vector.resize(size): "
		                "expected size argument to be an integer");
		return NULL;
	}

	if (size < 2) {
		PyErr_SetString(PyExc_RuntimeError,
		                "Vector.resize(): invalid size");
		return NULL;
	}

	self->vec = PyMem_Realloc(self->vec, (size * sizeof(float)));
	if (self->vec == NULL) {
		PyErr_SetString(PyExc_MemoryError,
		                "Vector.resize(): "
		                "problem allocating pointer space");
		return NULL;
	}

	/* If the vector has increased in length, set all new elements to 0.0f */
	if (size > self->size) {
		copy_vn_fl(self->vec + self->size, size - self->size, 0.0f);
	}

	self->size = size;
	Py_RETURN_NONE;
}

PyDoc_STRVAR(Vector_resized_doc,
".. method:: resized(size=3)\n"
"\n"
"   Return a resized copy of the vector with size number of elements.\n"
"\n"
"   :return: a new vector\n"
"   :rtype: :class:`Vector`\n"
);
static PyObject *Vector_resized(VectorObject *self, PyObject *value)
{
	int size;
	float *vec;

	if ((size = PyLong_AsLong(value)) == -1) {
		return NULL;
	}

	if (size < 2) {
		PyErr_SetString(PyExc_RuntimeError,
		                "Vector.resized(): invalid size");
		return NULL;
	}

	vec = PyMem_Malloc(size * sizeof(float));

	if (vec == NULL) {
		PyErr_SetString(PyExc_MemoryError,
		                "Vector.resized(): "
		                "problem allocating pointer space");
		return NULL;
	}

	copy_vn_fl(vec, size, 0.0f);
	memcpy(vec, self->vec, self->size * sizeof(float));

	return Vector_CreatePyObject_alloc(vec, size, NULL);
}

PyDoc_STRVAR(Vector_resize_2d_doc,
".. method:: resize_2d()\n"
"\n"
"   Resize the vector to 2D  (x, y).\n"
);
static PyObject *Vector_resize_2d(VectorObject *self)
{
	if (self->flag & BASE_MATH_FLAG_IS_WRAP) {
		PyErr_SetString(PyExc_TypeError,
		                "Vector.resize_2d(): "
		                "cannot resize wrapped data - only python vectors");
		return NULL;
	}
	if (self->cb_user) {
		PyErr_SetString(PyExc_TypeError,
		                "Vector.resize_2d(): "
		                "cannot resize a vector that has an owner");
		return NULL;
	}

	self->vec = PyMem_Realloc(self->vec, (sizeof(float) * 2));
	if (self->vec == NULL) {
		PyErr_SetString(PyExc_MemoryError,
		                "Vector.resize_2d(): "
		                "problem allocating pointer space");
		return NULL;
	}

	self->size = 2;
	Py_RETURN_NONE;
}

PyDoc_STRVAR(Vector_resize_3d_doc,
".. method:: resize_3d()\n"
"\n"
"   Resize the vector to 3D  (x, y, z).\n"
);
static PyObject *Vector_resize_3d(VectorObject *self)
{
	if (self->flag & BASE_MATH_FLAG_IS_WRAP) {
		PyErr_SetString(PyExc_TypeError,
		                "Vector.resize_3d(): "
		                "cannot resize wrapped data - only python vectors");
		return NULL;
	}
	if (self->cb_user) {
		PyErr_SetString(PyExc_TypeError,
		                "Vector.resize_3d(): "
		                "cannot resize a vector that has an owner");
		return NULL;
	}

	self->vec = PyMem_Realloc(self->vec, (sizeof(float) * 3));
	if (self->vec == NULL) {
		PyErr_SetString(PyExc_MemoryError,
		                "Vector.resize_3d(): "
		                "problem allocating pointer space");
		return NULL;
	}

	if (self->size == 2) {
		self->vec[2] = 0.0f;
	}

	self->size = 3;
	Py_RETURN_NONE;
}

PyDoc_STRVAR(Vector_resize_4d_doc,
".. method:: resize_4d()\n"
"\n"
"   Resize the vector to 4D (x, y, z, w).\n"
);
static PyObject *Vector_resize_4d(VectorObject *self)
{
	if (self->flag & BASE_MATH_FLAG_IS_WRAP) {
		PyErr_SetString(PyExc_TypeError,
		                "Vector.resize_4d(): "
		                "cannot resize wrapped data - only python vectors");
		return NULL;
	}
	if (self->cb_user) {
		PyErr_SetString(PyExc_TypeError,
		                "Vector.resize_4d(): "
		                "cannot resize a vector that has an owner");
		return NULL;
	}

	self->vec = PyMem_Realloc(self->vec, (sizeof(float) * 4));
	if (self->vec == NULL) {
		PyErr_SetString(PyExc_MemoryError,
		                "Vector.resize_4d(): "
		                "problem allocating pointer space");
		return NULL;
	}

	if (self->size == 2) {
		self->vec[2] = 0.0f;
		self->vec[3] = 1.0f;
	}
	else if (self->size == 3) {
		self->vec[3] = 1.0f;
	}
	self->size = 4;
	Py_RETURN_NONE;
}
PyDoc_STRVAR(Vector_to_2d_doc,
".. method:: to_2d()\n"
"\n"
"   Return a 2d copy of the vector.\n"
"\n"
"   :return: a new vector\n"
"   :rtype: :class:`Vector`\n"
);
static PyObject *Vector_to_2d(VectorObject *self)
{
	if (BaseMath_ReadCallback(self) == -1) {
		return NULL;
	}

	return Vector_CreatePyObject(self->vec, 2, Py_TYPE(self));
}
PyDoc_STRVAR(Vector_to_3d_doc,
".. method:: to_3d()\n"
"\n"
"   Return a 3d copy of the vector.\n"
"\n"
"   :return: a new vector\n"
"   :rtype: :class:`Vector`\n"
);
static PyObject *Vector_to_3d(VectorObject *self)
{
	float tvec[3] = {0.0f};

	if (BaseMath_ReadCallback(self) == -1) {
		return NULL;
	}

	memcpy(tvec, self->vec, sizeof(float) * MIN2(self->size, 3));
	return Vector_CreatePyObject(tvec, 3, Py_TYPE(self));
}
PyDoc_STRVAR(Vector_to_4d_doc,
".. method:: to_4d()\n"
"\n"
"   Return a 4d copy of the vector.\n"
"\n"
"   :return: a new vector\n"
"   :rtype: :class:`Vector`\n"
);
static PyObject *Vector_to_4d(VectorObject *self)
{
	float tvec[4] = {0.0f, 0.0f, 0.0f, 1.0f};

	if (BaseMath_ReadCallback(self) == -1) {
		return NULL;
	}

	memcpy(tvec, self->vec, sizeof(float) * MIN2(self->size, 4));
	return Vector_CreatePyObject(tvec, 4, Py_TYPE(self));
}

PyDoc_STRVAR(Vector_to_tuple_doc,
".. method:: to_tuple(precision=-1)\n"
"\n"
"   Return this vector as a tuple with.\n"
"\n"
"   :arg precision: The number to round the value to in [-1, 21].\n"
"   :type precision: int\n"
"   :return: the values of the vector rounded by *precision*\n"
"   :rtype: tuple\n"
);
/* note: BaseMath_ReadCallback must be called beforehand */
static PyObject *Vector_to_tuple_ext(VectorObject *self, int ndigits)
{
	PyObject *ret;
	int i;

	ret = PyTuple_New(self->size);

	if (ndigits >= 0) {
		for (i = 0; i < self->size; i++) {
			PyTuple_SET_ITEM(ret, i, PyFloat_FromDouble(double_round((double)self->vec[i], ndigits)));
		}
	}
	else {
		for (i = 0; i < self->size; i++) {
			PyTuple_SET_ITEM(ret, i, PyFloat_FromDouble(self->vec[i]));
		}
	}

	return ret;
}

static PyObject *Vector_to_tuple(VectorObject *self, PyObject *args)
{
	int ndigits = 0;

	if (!PyArg_ParseTuple(args, "|i:to_tuple", &ndigits)) {
		return NULL;
	}

	if (ndigits > 22 || ndigits < 0) {
		PyErr_SetString(PyExc_ValueError,
		                "Vector.to_tuple(ndigits): "
		                "ndigits must be between 0 and 21");
		return NULL;
	}

	if (PyTuple_GET_SIZE(args) == 0) {
		ndigits = -1;
	}

	if (BaseMath_ReadCallback(self) == -1) {
		return NULL;
	}

	return Vector_to_tuple_ext(self, ndigits);
}

PyDoc_STRVAR(Vector_to_track_quat_doc,
".. method:: to_track_quat(track, up)\n"
"\n"
"   Return a quaternion rotation from the vector and the track and up axis.\n"
"\n"
"   :arg track: Track axis in ['X', 'Y', 'Z', '-X', '-Y', '-Z'].\n"
"   :type track: string\n"
"   :arg up: Up axis in ['X', 'Y', 'Z'].\n"
"   :type up: string\n"
"   :return: rotation from the vector and the track and up axis.\n"
"   :rtype: :class:`Quaternion`\n"
);
static PyObject *Vector_to_track_quat(VectorObject *self, PyObject *args)
{
	float vec[3], quat[4];
	const char *strack, *sup;
	short track = 2, up = 1;

	if (!PyArg_ParseTuple(args, "|ss:to_track_quat", &strack, &sup)) {
		return NULL;
	}

	if (self->size != 3) {
		PyErr_SetString(PyExc_TypeError,
		                "Vector.to_track_quat(): "
		                "only for 3D vectors");
		return NULL;
	}

	if (BaseMath_ReadCallback(self) == -1) {
		return NULL;
	}

	if (strack) {
		const char *axis_err_msg = "only X, -X, Y, -Y, Z or -Z for track axis";

		if (strlen(strack) == 2) {
			if (strack[0] == '-') {
				switch (strack[1]) {
					case 'X':
						track = 3;
						break;
					case 'Y':
						track = 4;
						break;
					case 'Z':
						track = 5;
						break;
					default:
						PyErr_SetString(PyExc_ValueError, axis_err_msg);
						return NULL;
				}
			}
			else {
				PyErr_SetString(PyExc_ValueError, axis_err_msg);
				return NULL;
			}
		}
		else if (strlen(strack) == 1) {
			switch (strack[0]) {
				case '-':
				case 'X':
					track = 0;
					break;
				case 'Y':
					track = 1;
					break;
				case 'Z':
					track = 2;
					break;
				default:
					PyErr_SetString(PyExc_ValueError, axis_err_msg);
					return NULL;
			}
		}
		else {
			PyErr_SetString(PyExc_ValueError, axis_err_msg);
			return NULL;
		}
	}

	if (sup) {
		const char *axis_err_msg = "only X, Y or Z for up axis";
		if (strlen(sup) == 1) {
			switch (*sup) {
				case 'X':
					up = 0;
					break;
				case 'Y':
					up = 1;
					break;
				case 'Z':
					up = 2;
					break;
				default:
					PyErr_SetString(PyExc_ValueError, axis_err_msg);
					return NULL;
			}
		}
		else {
			PyErr_SetString(PyExc_ValueError, axis_err_msg);
			return NULL;
		}
	}

	if (track == up) {
		PyErr_SetString(PyExc_ValueError,
		                "Can't have the same axis for track and up");
		return NULL;
	}

	/*
	 * flip vector around, since vectoquat expect a vector from target to tracking object
	 * and the python function expects the inverse (a vector to the target).
	 */
	negate_v3_v3(vec, self->vec);

	vec_to_quat(quat, vec, track, up);

	return Quaternion_CreatePyObject(quat, NULL);
}

PyDoc_STRVAR(Vector_orthogonal_doc,
".. method:: orthogonal()\n"
"\n"
"   Return a perpendicular vector.\n"
"\n"
"   :return: a new vector 90 degrees from this vector.\n"
"   :rtype: :class:`Vector`\n"
"\n"
"   .. note:: the axis is undefined, only use when any orthogonal vector is acceptable.\n"
);
static PyObject *Vector_orthogonal(VectorObject *self)
{
	float vec[3];

	if (self->size > 3) {
		PyErr_SetString(PyExc_TypeError,
		                "Vector.orthogonal(): "
		                "Vector must be 3D or 2D");
		return NULL;
	}

	if (BaseMath_ReadCallback(self) == -1) {
		return NULL;
	}

	if (self->size == 3) {
		ortho_v3_v3(vec, self->vec);
	}
	else {
		ortho_v2_v2(vec, self->vec);
	}

	return Vector_CreatePyObject(vec, self->size, Py_TYPE(self));
}


/**
 * Vector.reflect(mirror): return a reflected vector on the mirror normal.
 * <pre>
 * vec - ((2 * dot(vec, mirror)) * mirror)
 * </pre>
 */
PyDoc_STRVAR(Vector_reflect_doc,
".. method:: reflect(mirror)\n"
"\n"
"   Return the reflection vector from the *mirror* argument.\n"
"\n"
"   :arg mirror: This vector could be a normal from the reflecting surface.\n"
"   :type mirror: :class:`Vector`\n"
"   :return: The reflected vector matching the size of this vector.\n"
"   :rtype: :class:`Vector`\n"
);
static PyObject *Vector_reflect(VectorObject *self, PyObject *value)
{
	int value_size;
	float mirror[3], vec[3];
	float reflect[3] = {0.0f};
	float tvec[MAX_DIMENSIONS];

	if (BaseMath_ReadCallback(self) == -1) {
		return NULL;
	}

	if ((value_size = mathutils_array_parse(tvec, 2, 4, value, "Vector.reflect(other), invalid 'other' arg")) == -1) {
		return NULL;
	}

	if (self->size < 2 || self->size > 4) {
		PyErr_SetString(PyExc_ValueError,
		                "Vector must be 2D, 3D or 4D");
		return NULL;
	}

	mirror[0] = tvec[0];
	mirror[1] = tvec[1];
	mirror[2] = (value_size > 2) ? tvec[2] : 0.0f;

	vec[0] = self->vec[0];
	vec[1] = self->vec[1];
	vec[2] = (value_size > 2) ? self->vec[2] : 0.0f;

	normalize_v3(mirror);
	reflect_v3_v3v3(reflect, vec, mirror);

	return Vector_CreatePyObject(reflect, self->size, Py_TYPE(self));
}

PyDoc_STRVAR(Vector_cross_doc,
".. method:: cross(other)\n"
"\n"
"   Return the cross product of this vector and another.\n"
"\n"
"   :arg other: The other vector to perform the cross product with.\n"
"   :type other: :class:`Vector`\n"
"   :return: The cross product.\n"
"   :rtype: :class:`Vector` or float when 2D vectors are used\n"
"\n"
"   .. note:: both vectors must be 2D or 3D\n"
);
static PyObject *Vector_cross(VectorObject *self, PyObject *value)
{
	PyObject *ret;
	float tvec[3];

	if (BaseMath_ReadCallback(self) == -1) {
		return NULL;
	}

	if (self->size > 3) {
		PyErr_SetString(PyExc_ValueError,
		                "Vector must be 2D or 3D");
		return NULL;
	}

	if (mathutils_array_parse(tvec, self->size, self->size, value, "Vector.cross(other), invalid 'other' arg") == -1) {
		return NULL;
	}

	if (self->size == 3) {
		ret = Vector_CreatePyObject(NULL, 3, Py_TYPE(self));
		cross_v3_v3v3(((VectorObject *)ret)->vec, self->vec, tvec);
	}
	else {
		/* size == 2 */
		ret = PyFloat_FromDouble(cross_v2v2(self->vec, tvec));
	}
	return ret;
}

PyDoc_STRVAR(Vector_dot_doc,
".. method:: dot(other)\n"
"\n"
"   Return the dot product of this vector and another.\n"
"\n"
"   :arg other: The other vector to perform the dot product with.\n"
"   :type other: :class:`Vector`\n"
"   :return: The dot product.\n"
"   :rtype: :class:`Vector`\n"
);
static PyObject *Vector_dot(VectorObject *self, PyObject *value)
{
	float *tvec;
	PyObject *ret;

	if (BaseMath_ReadCallback(self) == -1) {
		return NULL;
	}

	if (mathutils_array_parse_alloc(&tvec, self->size, value, "Vector.dot(other), invalid 'other' arg") == -1) {
		return NULL;
	}

	ret = PyFloat_FromDouble(dot_vn_vn(self->vec, tvec, self->size));
	PyMem_Free(tvec);
	return ret;
}

PyDoc_STRVAR(Vector_angle_doc,
".. function:: angle(other, fallback=None)\n"
"\n"
"   Return the angle between two vectors.\n"
"\n"
"   :arg other: another vector to compare the angle with\n"
"   :type other: :class:`Vector`\n"
"   :arg fallback: return this when the angle can't be calculated (zero length vector),\n"
"      (instead of raising a :exc:`ValueError`).\n"
"   :type fallback: any\n"
"   :return: angle in radians or fallback when given\n"
"   :rtype: float\n"
);
static PyObject *Vector_angle(VectorObject *self, PyObject *args)
{
	const int size = MIN2(self->size, 3); /* 4D angle makes no sense */
	float tvec[MAX_DIMENSIONS];
	PyObject *value;
	double dot = 0.0f, dot_self = 0.0f, dot_other = 0.0f;
	int x;
	PyObject *fallback = NULL;

	if (!PyArg_ParseTuple(args, "O|O:angle", &value, &fallback)) {
		return NULL;
	}

	if (BaseMath_ReadCallback(self) == -1) {
		return NULL;
	}

	/* don't use clamped size, rule of thumb is vector sizes must match,
	 * even though n this case 'w' is ignored */
	if (mathutils_array_parse(tvec, self->size, self->size, value, "Vector.angle(other), invalid 'other' arg") == -1) {
		return NULL;
	}

	if (self->size > 4) {
		PyErr_SetString(PyExc_ValueError,
		                "Vector must be 2D, 3D or 4D");
		return NULL;
	}

	for (x = 0; x < size; x++) {
		dot_self  += (double)self->vec[x] * (double)self->vec[x];
		dot_other += (double)tvec[x]      * (double)tvec[x];
		dot       += (double)self->vec[x] * (double)tvec[x];
	}

	if (!dot_self || !dot_other) {
		/* avoid exception */
		if (fallback) {
			Py_INCREF(fallback);
			return fallback;
		}
		else {
			PyErr_SetString(PyExc_ValueError,
			                "Vector.angle(other): "
			                "zero length vectors have no valid angle");
			return NULL;
		}
	}

	return PyFloat_FromDouble(saacos(dot / (sqrt(dot_self) * sqrt(dot_other))));
}

PyDoc_STRVAR(Vector_angle_signed_doc,
".. function:: angle_signed(other, fallback)\n"
"\n"
"   Return the signed angle between two 2D vectors (clockwise is positive).\n"
"\n"
"   :arg other: another vector to compare the angle with\n"
"   :type other: :class:`Vector`\n"
"   :arg fallback: return this when the angle can't be calculated (zero length vector),\n"
"      (instead of raising a :exc:`ValueError`).\n"
"   :type fallback: any\n"
"   :return: angle in radians or fallback when given\n"
"   :rtype: float\n"
);
static PyObject *Vector_angle_signed(VectorObject *self, PyObject *args)
{
	float tvec[2];

	PyObject *value;
	PyObject *fallback = NULL;

	if (!PyArg_ParseTuple(args, "O|O:angle_signed", &value, &fallback)) {
		return NULL;
	}

	if (BaseMath_ReadCallback(self) == -1) {
		return NULL;
	}

	if (mathutils_array_parse(tvec, 2, 2, value, "Vector.angle_signed(other), invalid 'other' arg") == -1) {
		return NULL;
	}

	if (self->size != 2) {
		PyErr_SetString(PyExc_ValueError,
		                "Vector must be 2D");
		return NULL;
	}

	if (is_zero_v2(self->vec) || is_zero_v2(tvec)) {
		/* avoid exception */
		if (fallback) {
			Py_INCREF(fallback);
			return fallback;
		}
		else {
			PyErr_SetString(PyExc_ValueError,
			                "Vector.angle_signed(other): "
			                "zero length vectors have no valid angle");
			return NULL;
		}
	}


	return PyFloat_FromDouble(angle_signed_v2v2(self->vec, tvec));
}


PyDoc_STRVAR(Vector_rotation_difference_doc,
".. function:: rotation_difference(other)\n"
"\n"
"   Returns a quaternion representing the rotational difference between this\n"
"   vector and another.\n"
"\n"
"   :arg other: second vector.\n"
"   :type other: :class:`Vector`\n"
"   :return: the rotational difference between the two vectors.\n"
"   :rtype: :class:`Quaternion`\n"
"\n"
"   .. note:: 2D vectors raise an :exc:`AttributeError`.\n"
);
static PyObject *Vector_rotation_difference(VectorObject *self, PyObject *value)
{
	float quat[4], vec_a[3], vec_b[3];

	if (self->size < 3 || self->size > 4) {
		PyErr_SetString(PyExc_ValueError,
		                "vec.difference(value): "
		                "expects both vectors to be size 3 or 4");
		return NULL;
	}

	if (BaseMath_ReadCallback(self) == -1) {
		return NULL;
	}

	if (mathutils_array_parse(vec_b, 3, MAX_DIMENSIONS, value, "Vector.difference(other), invalid 'other' arg") == -1) {
		return NULL;
	}

	normalize_v3_v3(vec_a, self->vec);
	normalize_v3(vec_b);

	rotation_between_vecs_to_quat(quat, vec_a, vec_b);

	return Quaternion_CreatePyObject(quat, NULL);
}

PyDoc_STRVAR(Vector_project_doc,
".. function:: project(other)\n"
"\n"
"   Return the projection of this vector onto the *other*.\n"
"\n"
"   :arg other: second vector.\n"
"   :type other: :class:`Vector`\n"
"   :return: the parallel projection vector\n"
"   :rtype: :class:`Vector`\n"
);
static PyObject *Vector_project(VectorObject *self, PyObject *value)
{
	const int size = self->size;
	float *tvec;
	double dot = 0.0f, dot2 = 0.0f;
	int x;

	if (BaseMath_ReadCallback(self) == -1) {
		return NULL;
	}

	if (mathutils_array_parse_alloc(&tvec, size, value, "Vector.project(other), invalid 'other' arg") == -1) {
		return NULL;
	}

	/* get dot products */
	for (x = 0; x < size; x++) {
		dot += (double)(self->vec[x] * tvec[x]);
		dot2 += (double)(tvec[x] * tvec[x]);
	}
	/* projection */
	dot /= dot2;
	for (x = 0; x < size; x++) {
		tvec[x] *= (float)dot;
	}
	return Vector_CreatePyObject_alloc(tvec, size, Py_TYPE(self));
}

PyDoc_STRVAR(Vector_lerp_doc,
".. function:: lerp(other, factor)\n"
"\n"
"   Returns the interpolation of two vectors.\n"
"\n"
"   :arg other: value to interpolate with.\n"
"   :type other: :class:`Vector`\n"
"   :arg factor: The interpolation value in [0.0, 1.0].\n"
"   :type factor: float\n"
"   :return: The interpolated vector.\n"
"   :rtype: :class:`Vector`\n"
);
static PyObject *Vector_lerp(VectorObject *self, PyObject *args)
{
	const int size = self->size;
	PyObject *value = NULL;
	float fac;
	float *tvec;

	if (!PyArg_ParseTuple(args, "Of:lerp", &value, &fac)) {
		return NULL;
	}

	if (BaseMath_ReadCallback(self) == -1) {
		return NULL;
	}

	if (mathutils_array_parse_alloc(&tvec, size, value, "Vector.lerp(other), invalid 'other' arg") == -1) {
		return NULL;
	}

	interp_vn_vn(tvec, self->vec, 1.0f - fac, size);

	return Vector_CreatePyObject_alloc(tvec, size, Py_TYPE(self));
}

PyDoc_STRVAR(Vector_slerp_doc,
".. function:: slerp(other, factor, fallback=None)\n"
"\n"
"   Returns the interpolation of two non-zero vectors (spherical coordinates).\n"
"\n"
"   :arg other: value to interpolate with.\n"
"   :type other: :class:`Vector`\n"
"   :arg factor: The interpolation value typically in [0.0, 1.0].\n"
"   :type factor: float\n"
"   :arg fallback: return this when the vector can't be calculated (zero length vector or direct opposites),\n"
"      (instead of raising a :exc:`ValueError`).\n"
"   :type fallback: any\n"
"   :return: The interpolated vector.\n"
"   :rtype: :class:`Vector`\n"
);
static PyObject *Vector_slerp(VectorObject *self, PyObject *args)
{
	const int size = self->size;
	PyObject *value = NULL;
	float fac, cosom, w[2];
	float self_vec[3], other_vec[3], ret_vec[3];
	float self_len_sq, other_len_sq;
	int x;
	PyObject *fallback = NULL;

	if (!PyArg_ParseTuple(args, "Of|O:slerp", &value, &fac, &fallback)) {
		return NULL;
	}

	if (BaseMath_ReadCallback(self) == -1) {
		return NULL;
	}

	if (self->size > 3) {
		PyErr_SetString(PyExc_ValueError,
		                "Vector must be 2D or 3D");
		return NULL;
	}

	if (mathutils_array_parse(other_vec, size, size, value, "Vector.slerp(other), invalid 'other' arg") == -1) {
		return NULL;
	}

	self_len_sq  = normalize_vn_vn(self_vec, self->vec, size);
	other_len_sq = normalize_vn(other_vec,              size);

	/* use fallbacks for zero length vectors */
	if (UNLIKELY((self_len_sq  < FLT_EPSILON) ||
	             (other_len_sq < FLT_EPSILON)))
	{
		/* avoid exception */
		if (fallback) {
			Py_INCREF(fallback);
			return fallback;
		}
		else {
			PyErr_SetString(PyExc_ValueError,
			                "Vector.slerp(): "
			                "zero length vectors unsupported");
			return NULL;
		}
	}

	/* We have sane state, execute slerp */
	cosom = (float)dot_vn_vn(self_vec, other_vec, size);

	/* direct opposite, can't slerp */
	if (UNLIKELY(cosom < (-1.0f + FLT_EPSILON))) {
		/* avoid exception */
		if (fallback) {
			Py_INCREF(fallback);
			return fallback;
		}
		else {
			PyErr_SetString(PyExc_ValueError,
			                "Vector.slerp(): "
			                "opposite vectors unsupported");
			return NULL;
		}
	}

	interp_dot_slerp(fac, cosom, w);

	for (x = 0; x < size; x++) {
		ret_vec[x] = (w[0] * self_vec[x]) + (w[1] * other_vec[x]);
	}

	return Vector_CreatePyObject(ret_vec, size, Py_TYPE(self));
}

PyDoc_STRVAR(Vector_rotate_doc,
".. function:: rotate(other)\n"
"\n"
"   Rotate the vector by a rotation value.\n"
"\n"
"   :arg other: rotation component of mathutils value\n"
"   :type other: :class:`Euler`, :class:`Quaternion` or :class:`Matrix`\n"
);
static PyObject *Vector_rotate(VectorObject *self, PyObject *value)
{
	float other_rmat[3][3];

	if (BaseMath_ReadCallback_ForWrite(self) == -1) {
		return NULL;
	}

	if (mathutils_any_to_rotmat(other_rmat, value, "Vector.rotate(value)") == -1) {
		return NULL;
	}

	if (self->size < 3 || self->size > 4) {
		PyErr_SetString(PyExc_ValueError,
		                "Vector must be 3D or 4D");
		return NULL;
	}

	mul_m3_v3(other_rmat, self->vec);

	(void)BaseMath_WriteCallback(self);
	Py_RETURN_NONE;
}

PyDoc_STRVAR(Vector_copy_doc,
".. function:: copy()\n"
"\n"
"   Returns a copy of this vector.\n"
"\n"
"   :return: A copy of the vector.\n"
"   :rtype: :class:`Vector`\n"
"\n"
"   .. note:: use this to get a copy of a wrapped vector with\n"
"      no reference to the original data.\n"
);
static PyObject *Vector_copy(VectorObject *self)
{
	if (BaseMath_ReadCallback(self) == -1) {
		return NULL;
	}

	return Vector_CreatePyObject(self->vec, self->size, Py_TYPE(self));
}
static PyObject *Vector_deepcopy(VectorObject *self, PyObject *args)
{
	if (!PyC_CheckArgs_DeepCopy(args)) {
		return NULL;
	}
	return Vector_copy(self);
}

static PyObject *Vector_repr(VectorObject *self)
{
	PyObject *ret, *tuple;

	if (BaseMath_ReadCallback(self) == -1) {
		return NULL;
	}

	tuple = Vector_to_tuple_ext(self, -1);
	ret = PyUnicode_FromFormat("Vector(%R)", tuple);
	Py_DECREF(tuple);
	return ret;
}

#ifndef MATH_STANDALONE
static PyObject *Vector_str(VectorObject *self)
{
	int i;

	DynStr *ds;

	if (BaseMath_ReadCallback(self) == -1) {
		return NULL;
	}

	ds = BLI_dynstr_new();

	BLI_dynstr_append(ds, "<Vector (");

	for (i = 0; i < self->size; i++) {
		BLI_dynstr_appendf(ds, i ? ", %.4f" : "%.4f", self->vec[i]);
	}

	BLI_dynstr_append(ds, ")>");

	return mathutils_dynstr_to_py(ds); /* frees ds */
}
#endif

/* Sequence Protocol */
/* sequence length len(vector) */
static int Vector_len(VectorObject *self)
{
	return self->size;
}
/* sequence accessor (get): vector[index] */
static PyObject *vector_item_internal(VectorObject *self, int i, const bool is_attr)
{
	if (i < 0) {
		i = self->size - i;
	}

	if (i < 0 || i >= self->size) {
		if (is_attr) {
			PyErr_Format(PyExc_AttributeError,
			             "Vector.%c: unavailable on %dd vector",
			             *(((char *)"xyzw") + i), self->size);
		}
		else {
			PyErr_SetString(PyExc_IndexError,
			                "vector[index]: out of range");
		}
		return NULL;
	}

	if (BaseMath_ReadIndexCallback(self, i) == -1) {
		return NULL;
	}

	return PyFloat_FromDouble(self->vec[i]);
}

static PyObject *Vector_item(VectorObject *self, int i)
{
	return vector_item_internal(self, i, false);
}
/* sequence accessor (set): vector[index] = value */
static int vector_ass_item_internal(VectorObject *self, int i, PyObject *value, const bool is_attr)
{
	float scalar;

	if (BaseMath_Prepare_ForWrite(self) == -1) {
		return -1;
	}

	if ((scalar = PyFloat_AsDouble(value)) == -1.0f && PyErr_Occurred()) { /* parsed item not a number */
		PyErr_SetString(PyExc_TypeError,
		                "vector[index] = x: "
		                "assigned value not a number");
		return -1;
	}

	if (i < 0) {
		i = self->size - i;
	}

	if (i < 0 || i >= self->size) {
		if (is_attr) {
			PyErr_Format(PyExc_AttributeError,
			             "Vector.%c = x: unavailable on %dd vector",
			             *(((char *)"xyzw") + i), self->size);
		}
		else {
			PyErr_SetString(PyExc_IndexError,
			                "vector[index] = x: "
			                "assignment index out of range");
		}
		return -1;
	}
	self->vec[i] = scalar;

	if (BaseMath_WriteIndexCallback(self, i) == -1) {
		return -1;
	}
	return 0;
}

static int Vector_ass_item(VectorObject *self, int i, PyObject *value)
{
	return vector_ass_item_internal(self, i, value, false);
}

/* sequence slice (get): vector[a:b] */
static PyObject *Vector_slice(VectorObject *self, int begin, int end)
{
	PyObject *tuple;
	int count;

	if (BaseMath_ReadCallback(self) == -1) {
		return NULL;
	}

	CLAMP(begin, 0, self->size);
	if (end < 0) {
		end = self->size + end + 1;
	}
	CLAMP(end, 0, self->size);
	begin = MIN2(begin, end);

	tuple = PyTuple_New(end - begin);
	for (count = begin; count < end; count++) {
		PyTuple_SET_ITEM(tuple, count - begin, PyFloat_FromDouble(self->vec[count]));
	}

	return tuple;
}
/* sequence slice (set): vector[a:b] = value */
static int Vector_ass_slice(VectorObject *self, int begin, int end, PyObject *seq)
{
	int size = 0;
	float *vec = NULL;

	if (BaseMath_ReadCallback_ForWrite(self) == -1) {
		return -1;
	}

	CLAMP(begin, 0, self->size);
	CLAMP(end, 0, self->size);
	begin = MIN2(begin, end);

	size = (end - begin);
	if (mathutils_array_parse_alloc(&vec, size, seq, "vector[begin:end] = [...]") == -1) {
		return -1;
	}

	if (vec == NULL) {
		PyErr_SetString(PyExc_MemoryError,
		                "vec[:] = seq: "
		                "problem allocating pointer space");
		return -1;
	}

	/*parsed well - now set in vector*/
	memcpy(self->vec + begin, vec, size * sizeof(float));

	PyMem_Free(vec);

	if (BaseMath_WriteCallback(self) == -1) {
		return -1;
	}

	return 0;
}

/* Numeric Protocols */
/* addition: obj + obj */
static PyObject *Vector_add(PyObject *v1, PyObject *v2)
{
	VectorObject *vec1 = NULL, *vec2 = NULL;
	float *vec = NULL;

	if (!VectorObject_Check(v1) || !VectorObject_Check(v2)) {
		PyErr_Format(PyExc_AttributeError,
		             "Vector addition: (%s + %s) "
		             "invalid type for this operation",
		             Py_TYPE(v1)->tp_name, Py_TYPE(v2)->tp_name);
		return NULL;
	}
	vec1 = (VectorObject *)v1;
	vec2 = (VectorObject *)v2;

	if (BaseMath_ReadCallback(vec1) == -1 || BaseMath_ReadCallback(vec2) == -1) {
		return NULL;
	}

	/*VECTOR + VECTOR*/
	if (vec1->size != vec2->size) {
		PyErr_SetString(PyExc_AttributeError,
		                "Vector addition: "
		                "vectors must have the same dimensions for this operation");
		return NULL;
	}

	vec = PyMem_Malloc(vec1->size * sizeof(float));
	if (vec == NULL) {
		PyErr_SetString(PyExc_MemoryError,
		                "Vector(): "
		                "problem allocating pointer space");
		return NULL;
	}

	add_vn_vnvn(vec, vec1->vec, vec2->vec, vec1->size);

	return Vector_CreatePyObject_alloc(vec, vec1->size, Py_TYPE(v1));
}

/* addition in-place: obj += obj */
static PyObject *Vector_iadd(PyObject *v1, PyObject *v2)
{
	VectorObject *vec1 = NULL, *vec2 = NULL;

	if (!VectorObject_Check(v1) || !VectorObject_Check(v2)) {
		PyErr_Format(PyExc_AttributeError,
		             "Vector addition: (%s += %s) "
		             "invalid type for this operation",
		             Py_TYPE(v1)->tp_name, Py_TYPE(v2)->tp_name);
		return NULL;
	}
	vec1 = (VectorObject *)v1;
	vec2 = (VectorObject *)v2;

	if (vec1->size != vec2->size) {
		PyErr_SetString(PyExc_AttributeError,
		                "Vector addition: "
		                "vectors must have the same dimensions for this operation");
		return NULL;
	}

	if (BaseMath_ReadCallback_ForWrite(vec1) == -1 || BaseMath_ReadCallback(vec2) == -1) {
		return NULL;
	}

	add_vn_vn(vec1->vec, vec2->vec, vec1->size);

	(void)BaseMath_WriteCallback(vec1);
	Py_INCREF(v1);
	return v1;
}

/* subtraction: obj - obj */
static PyObject *Vector_sub(PyObject *v1, PyObject *v2)
{
	VectorObject *vec1 = NULL, *vec2 = NULL;
	float *vec;

	if (!VectorObject_Check(v1) || !VectorObject_Check(v2)) {
		PyErr_Format(PyExc_AttributeError,
		             "Vector subtraction: (%s - %s) "
		             "invalid type for this operation",
		             Py_TYPE(v1)->tp_name, Py_TYPE(v2)->tp_name);
		return NULL;
	}
	vec1 = (VectorObject *)v1;
	vec2 = (VectorObject *)v2;

	if (BaseMath_ReadCallback(vec1) == -1 || BaseMath_ReadCallback(vec2) == -1) {
		return NULL;
	}

	if (vec1->size != vec2->size) {
		PyErr_SetString(PyExc_AttributeError,
		                "Vector subtraction: "
		                "vectors must have the same dimensions for this operation");
		return NULL;
	}

	vec = PyMem_Malloc(vec1->size * sizeof(float));
	if (vec == NULL) {
		PyErr_SetString(PyExc_MemoryError,
		                "Vector(): "
		                "problem allocating pointer space");
		return NULL;
	}

	sub_vn_vnvn(vec, vec1->vec, vec2->vec, vec1->size);

	return Vector_CreatePyObject_alloc(vec, vec1->size, Py_TYPE(v1));
}

/* subtraction in-place: obj -= obj */
static PyObject *Vector_isub(PyObject *v1, PyObject *v2)
{
	VectorObject *vec1 = NULL, *vec2 = NULL;

	if (!VectorObject_Check(v1) || !VectorObject_Check(v2)) {
		PyErr_Format(PyExc_AttributeError,
		             "Vector subtraction: (%s -= %s) "
		             "invalid type for this operation",
		             Py_TYPE(v1)->tp_name, Py_TYPE(v2)->tp_name);
		return NULL;
	}
	vec1 = (VectorObject *)v1;
	vec2 = (VectorObject *)v2;

	if (vec1->size != vec2->size) {
		PyErr_SetString(PyExc_AttributeError,
		                "Vector subtraction: "
		                "vectors must have the same dimensions for this operation");
		return NULL;
	}

	if (BaseMath_ReadCallback_ForWrite(vec1) == -1 || BaseMath_ReadCallback(vec2) == -1) {
		return NULL;
	}

	sub_vn_vn(vec1->vec, vec2->vec, vec1->size);

	(void)BaseMath_WriteCallback(vec1);
	Py_INCREF(v1);
	return v1;
}

/*------------------------obj * obj------------------------------
 * multiplication */


/**
 * Column vector multiplication (Matrix * Vector).
 * <pre>
 * [1][4][7]   [a]
 * [2][5][8] * [b]
 * [3][6][9]   [c]
 * </pre>
 *
 * \note Vector/Matrix multiplication is not commutative.
 * \note Assume read callbacks have been done first.
 */
int column_vector_multiplication(float r_vec[MAX_DIMENSIONS], VectorObject *vec, MatrixObject *mat)
{
	float vec_cpy[MAX_DIMENSIONS];
	int row, col, z = 0;

	if (mat->num_col != vec->size) {
		if (mat->num_col == 4 && vec->size == 3) {
			vec_cpy[3] = 1.0f;
		}
		else {
			PyErr_SetString(PyExc_ValueError,
			                "matrix * vector: "
			                "len(matrix.col) and len(vector) must be the same, "
			                "except for 4x4 matrix * 3D vector.");
			return -1;
		}
	}

	memcpy(vec_cpy, vec->vec, vec->size * sizeof(float));

	r_vec[3] = 1.0f;

	for (row = 0; row < mat->num_row; row++) {
		double dot = 0.0f;
		for (col = 0; col < mat->num_col; col++) {
			dot += (double)(MATRIX_ITEM(mat, row, col) * vec_cpy[col]);
		}
		r_vec[z++] = (float)dot;
	}

	return 0;
}

static PyObject *vector_mul_float(VectorObject *vec, const float scalar)
{
	float *tvec = PyMem_Malloc(vec->size * sizeof(float));
	if (tvec == NULL) {
		PyErr_SetString(PyExc_MemoryError,
		                "vec * float: "
		                "problem allocating pointer space");
		return NULL;
	}

	mul_vn_vn_fl(tvec, vec->vec, vec->size, scalar);
	return Vector_CreatePyObject_alloc(tvec, vec->size, Py_TYPE(vec));
}
#ifdef USE_MATHUTILS_ELEM_MUL
static PyObject *vector_mul_vec(VectorObject *vec1, VectorObject *vec2)
{
	float *tvec = PyMem_Malloc(vec1->size * sizeof(float));
	if (tvec == NULL) {
		PyErr_SetString(PyExc_MemoryError,
		                "vec * vec: "
		                "problem allocating pointer space");
		return NULL;
	}

	mul_vn_vnvn(tvec, vec1->vec, vec2->vec, vec1->size);
	return Vector_CreatePyObject_alloc(tvec, vec1->size, Py_TYPE(vec1));
}
#endif
static PyObject *Vector_mul(PyObject *v1, PyObject *v2)
{
	VectorObject *vec1 = NULL, *vec2 = NULL;
	float scalar;

	if (VectorObject_Check(v1)) {
		vec1 = (VectorObject *)v1;
		if (BaseMath_ReadCallback(vec1) == -1) {
			return NULL;
		}
	}
	if (VectorObject_Check(v2)) {
		vec2 = (VectorObject *)v2;
		if (BaseMath_ReadCallback(vec2) == -1) {
			return NULL;
		}
	}


	/* Intentionally don't support (Quaternion) here, uses reverse order instead. */

	/* make sure v1 is always the vector */
	if (vec1 && vec2) {
#ifdef USE_MATHUTILS_ELEM_MUL
		if (vec1->size != vec2->size) {
			PyErr_SetString(PyExc_ValueError,
			                "Vector multiplication: "
			                "vectors must have the same dimensions for this operation");
			return NULL;
		}

		/* element-wise product */
		return vector_mul_vec(vec1, vec2);
#endif
	}
	else if (vec1) {
		if (((scalar = PyFloat_AsDouble(v2)) == -1.0f && PyErr_Occurred()) == 0) { /* VEC * FLOAT */
			return vector_mul_float(vec1, scalar);
		}
	}
	else if (vec2) {
		if (((scalar = PyFloat_AsDouble(v1)) == -1.0f && PyErr_Occurred()) == 0) { /* FLOAT * VEC */
			return vector_mul_float(vec2, scalar);
		}
	}

	PyErr_Format(PyExc_TypeError,
	             "Element-wise multiplication: "
	             "not supported between '%.200s' and '%.200s' types",
	             Py_TYPE(v1)->tp_name, Py_TYPE(v2)->tp_name);
	return NULL;
}

/* multiplication in-place: obj *= obj */
static PyObject *Vector_imul(PyObject *v1, PyObject *v2)
{
	VectorObject *vec1 = NULL, *vec2 = NULL;
	float scalar;

	if (VectorObject_Check(v1)) {
		vec1 = (VectorObject *)v1;
		if (BaseMath_ReadCallback(vec1) == -1) {
			return NULL;
		}
	}
	if (VectorObject_Check(v2)) {
		vec2 = (VectorObject *)v2;
		if (BaseMath_ReadCallback(vec2) == -1) {
			return NULL;
		}
	}

	if (BaseMath_ReadCallback_ForWrite(vec1) == -1) {
		return NULL;
	}

	/* Intentionally don't support (Quaternion, Matrix) here, uses reverse order instead. */

	if (vec1 && vec2) {
#ifdef USE_MATHUTILS_ELEM_MUL
		if (vec1->size != vec2->size) {
			PyErr_SetString(PyExc_ValueError,
			                "Vector multiplication: "
			                "vectors must have the same dimensions for this operation");
			return NULL;
		}

		/* element-wise product inplace */
		mul_vn_vn(vec1->vec, vec2->vec, vec1->size);
#else
		PyErr_Format(PyExc_TypeError,
		             "Inplace element-wise multiplication: "
		             "not supported between '%.200s' and '%.200s' types",
		             Py_TYPE(v1)->tp_name, Py_TYPE(v2)->tp_name);
		return NULL;
#endif
	}
	else if (vec1 && (((scalar = PyFloat_AsDouble(v2)) == -1.0f && PyErr_Occurred()) == 0)) { /* VEC *= FLOAT */
		mul_vn_fl(vec1->vec, vec1->size, scalar);
	}
	else {
		PyErr_Format(PyExc_TypeError,
		             "Inplace element-wise multiplication: "
		             "not supported between '%.200s' and '%.200s' types",
		             Py_TYPE(v1)->tp_name, Py_TYPE(v2)->tp_name);
		return NULL;
	}

	(void)BaseMath_WriteCallback(vec1);
	Py_INCREF(v1);
	return v1;
}

static PyObject *Vector_matmul(PyObject *v1, PyObject *v2)
{
	VectorObject *vec1 = NULL, *vec2 = NULL;
	int vec_size;

	if (VectorObject_Check(v1)) {
		vec1 = (VectorObject *)v1;
		if (BaseMath_ReadCallback(vec1) == -1) {
			return NULL;
		}
	}
	if (VectorObject_Check(v2)) {
		vec2 = (VectorObject *)v2;
		if (BaseMath_ReadCallback(vec2) == -1) {
			return NULL;
		}
	}


	/* Intentionally don't support (Quaternion) here, uses reverse order instead. */

	/* make sure v1 is always the vector */
	if (vec1 && vec2) {
		if (vec1->size != vec2->size) {
			PyErr_SetString(PyExc_ValueError,
			                "Vector multiplication: "
			                "vectors must have the same dimensions for this operation");
			return NULL;
		}

		/*dot product*/
		return PyFloat_FromDouble(dot_vn_vn(vec1->vec, vec2->vec, vec1->size));
	}
	else if (vec1) {
		if (MatrixObject_Check(v2)) {
			/* VEC @ MATRIX */
			float tvec[MAX_DIMENSIONS];

			if (BaseMath_ReadCallback((MatrixObject *)v2) == -1) {
				return NULL;
			}
			if (row_vector_multiplication(tvec, vec1, (MatrixObject *)v2) == -1) {
				return NULL;
			}

			if (((MatrixObject *)v2)->num_row == 4 && vec1->size == 3) {
				vec_size = 3;
			}
			else {
				vec_size = ((MatrixObject *)v2)->num_col;
			}

			return Vector_CreatePyObject(tvec, vec_size, Py_TYPE(vec1));
		}
	}

	PyErr_Format(PyExc_TypeError,
	             "Vector multiplication: "
	             "not supported between '%.200s' and '%.200s' types",
	             Py_TYPE(v1)->tp_name, Py_TYPE(v2)->tp_name);
	return NULL;
}

static PyObject *Vector_imatmul(PyObject *v1, PyObject *v2)
{
	PyErr_Format(PyExc_TypeError,
	             "Inplace vector multiplication: "
	             "not supported between '%.200s' and '%.200s' types",
	             Py_TYPE(v1)->tp_name, Py_TYPE(v2)->tp_name);
	return NULL;
}

/* divid: obj / obj */
static PyObject *Vector_div(PyObject *v1, PyObject *v2)
{
	float *vec = NULL, scalar;
	VectorObject *vec1 = NULL;

	if (!VectorObject_Check(v1)) { /* not a vector */
		PyErr_SetString(PyExc_TypeError,
		                "Vector division: "
		                "Vector must be divided by a float");
		return NULL;
	}
	vec1 = (VectorObject *)v1; /* vector */

	if (BaseMath_ReadCallback(vec1) == -1) {
		return NULL;
	}

	if ((scalar = PyFloat_AsDouble(v2)) == -1.0f && PyErr_Occurred()) { /* parsed item not a number */
		PyErr_SetString(PyExc_TypeError,
		                "Vector division: "
		                "Vector must be divided by a float");
		return NULL;
	}

	if (scalar == 0.0f) {
		PyErr_SetString(PyExc_ZeroDivisionError,
		                "Vector division: "
		                "divide by zero error");
		return NULL;
	}

	vec = PyMem_Malloc(vec1->size * sizeof(float));

	if (vec == NULL) {
		PyErr_SetString(PyExc_MemoryError,
		                "vec / value: "
		                "problem allocating pointer space");
		return NULL;
	}

	mul_vn_vn_fl(vec, vec1->vec, vec1->size, 1.0f / scalar);

	return Vector_CreatePyObject_alloc(vec, vec1->size, Py_TYPE(v1));
}

/* divide in-place: obj /= obj */
static PyObject *Vector_idiv(PyObject *v1, PyObject *v2)
{
	float scalar;
	VectorObject *vec1 = (VectorObject *)v1;

	if (BaseMath_ReadCallback_ForWrite(vec1) == -1) {
		return NULL;
	}

	if ((scalar = PyFloat_AsDouble(v2)) == -1.0f && PyErr_Occurred()) { /* parsed item not a number */
		PyErr_SetString(PyExc_TypeError,
		                "Vector division: "
		                "Vector must be divided by a float");
		return NULL;
	}

	if (scalar == 0.0f) {
		PyErr_SetString(PyExc_ZeroDivisionError,
		                "Vector division: "
		                "divide by zero error");
		return NULL;
	}

	mul_vn_fl(vec1->vec, vec1->size, 1.0f / scalar);

	(void)BaseMath_WriteCallback(vec1);

	Py_INCREF(v1);
	return v1;
}

/* -obj
 * returns the negative of this object*/
static PyObject *Vector_neg(VectorObject *self)
{
	float *tvec;

	if (BaseMath_ReadCallback(self) == -1) {
		return NULL;
	}

	tvec = PyMem_Malloc(self->size * sizeof(float));
	negate_vn_vn(tvec, self->vec, self->size);
	return Vector_CreatePyObject_alloc(tvec, self->size, Py_TYPE(self));
}

/*------------------------tp_richcmpr
 * returns -1 exception, 0 false, 1 true */
static PyObject *Vector_richcmpr(PyObject *objectA, PyObject *objectB, int comparison_type)
{
	VectorObject *vecA = NULL, *vecB = NULL;
	int result = 0;
	double epsilon = 0.000001f;
	double lenA, lenB;

	if (!VectorObject_Check(objectA) || !VectorObject_Check(objectB)) {
		if (comparison_type == Py_NE) {
			Py_RETURN_TRUE;
		}
		else {
			Py_RETURN_FALSE;
		}
	}
	vecA = (VectorObject *)objectA;
	vecB = (VectorObject *)objectB;

	if (BaseMath_ReadCallback(vecA) == -1 || BaseMath_ReadCallback(vecB) == -1) {
		return NULL;
	}

	if (vecA->size != vecB->size) {
		if (comparison_type == Py_NE) {
			Py_RETURN_TRUE;
		}
		else {
			Py_RETURN_FALSE;
		}
	}

	switch (comparison_type) {
		case Py_LT:
			lenA = len_squared_vn(vecA->vec, vecA->size);
			lenB = len_squared_vn(vecB->vec, vecB->size);
			if (lenA < lenB) {
				result = 1;
			}
			break;
		case Py_LE:
			lenA = len_squared_vn(vecA->vec, vecA->size);
			lenB = len_squared_vn(vecB->vec, vecB->size);
			if (lenA < lenB) {
				result = 1;
			}
			else {
				result = (((lenA + epsilon) > lenB) && ((lenA - epsilon) < lenB));
			}
			break;
		case Py_EQ:
			result = EXPP_VectorsAreEqual(vecA->vec, vecB->vec, vecA->size, 1);
			break;
		case Py_NE:
			result = !EXPP_VectorsAreEqual(vecA->vec, vecB->vec, vecA->size, 1);
			break;
		case Py_GT:
			lenA = len_squared_vn(vecA->vec, vecA->size);
			lenB = len_squared_vn(vecB->vec, vecB->size);
			if (lenA > lenB) {
				result = 1;
			}
			break;
		case Py_GE:
			lenA = len_squared_vn(vecA->vec, vecA->size);
			lenB = len_squared_vn(vecB->vec, vecB->size);
			if (lenA > lenB) {
				result = 1;
			}
			else {
				result = (((lenA + epsilon) > lenB) && ((lenA - epsilon) < lenB));
			}
			break;
		default:
			printf("The result of the comparison could not be evaluated");
			break;
	}
	if (result == 1) {
		Py_RETURN_TRUE;
	}
	else {
		Py_RETURN_FALSE;
	}
}

static Py_hash_t Vector_hash(VectorObject *self)
{
	if (BaseMath_ReadCallback(self) == -1) {
		return -1;
	}

	if (BaseMathObject_Prepare_ForHash(self) == -1) {
		return -1;
	}

	return mathutils_array_hash(self->vec, self->size);
}

/*-----------------PROTCOL DECLARATIONS--------------------------*/
static PySequenceMethods Vector_SeqMethods = {
	(lenfunc) Vector_len,               /* sq_length */
	(binaryfunc) NULL,                  /* sq_concat */
	(ssizeargfunc) NULL,                /* sq_repeat */
	(ssizeargfunc) Vector_item,         /* sq_item */
	NULL,                               /* py3 deprecated slice func */
	(ssizeobjargproc) Vector_ass_item,  /* sq_ass_item */
	NULL,                               /* py3 deprecated slice assign func */
	(objobjproc) NULL,                  /* sq_contains */
	(binaryfunc) NULL,                  /* sq_inplace_concat */
	(ssizeargfunc) NULL,                /* sq_inplace_repeat */
};

static PyObject *Vector_subscript(VectorObject *self, PyObject *item)
{
	if (PyIndex_Check(item)) {
		Py_ssize_t i;
		i = PyNumber_AsSsize_t(item, PyExc_IndexError);
		if (i == -1 && PyErr_Occurred()) {
			return NULL;
		}
		if (i < 0) {
			i += self->size;
		}
		return Vector_item(self, i);
	}
	else if (PySlice_Check(item)) {
		Py_ssize_t start, stop, step, slicelength;

		if (PySlice_GetIndicesEx(item, self->size, &start, &stop, &step, &slicelength) < 0) {
			return NULL;
		}

		if (slicelength <= 0) {
			return PyTuple_New(0);
		}
		else if (step == 1) {
			return Vector_slice(self, start, stop);
		}
		else {
			PyErr_SetString(PyExc_IndexError,
			                "slice steps not supported with vectors");
			return NULL;
		}
	}
	else {
		PyErr_Format(PyExc_TypeError,
		             "vector indices must be integers, not %.200s",
		             Py_TYPE(item)->tp_name);
		return NULL;
	}
}

static int Vector_ass_subscript(VectorObject *self, PyObject *item, PyObject *value)
{
	if (PyIndex_Check(item)) {
		Py_ssize_t i = PyNumber_AsSsize_t(item, PyExc_IndexError);
		if (i == -1 && PyErr_Occurred()) {
			return -1;
		}
		if (i < 0) {
			i += self->size;
		}
		return Vector_ass_item(self, i, value);
	}
	else if (PySlice_Check(item)) {
		Py_ssize_t start, stop, step, slicelength;

		if (PySlice_GetIndicesEx(item, self->size, &start, &stop, &step, &slicelength) < 0) {
			return -1;
		}

		if (step == 1) {
			return Vector_ass_slice(self, start, stop, value);
		}
		else {
			PyErr_SetString(PyExc_IndexError,
			                "slice steps not supported with vectors");
			return -1;
		}
	}
	else {
		PyErr_Format(PyExc_TypeError,
		             "vector indices must be integers, not %.200s",
		             Py_TYPE(item)->tp_name);
		return -1;
	}
}

static PyMappingMethods Vector_AsMapping = {
	(lenfunc)Vector_len,
	(binaryfunc)Vector_subscript,
	(objobjargproc)Vector_ass_subscript,
};


static PyNumberMethods Vector_NumMethods = {
	(binaryfunc)    Vector_add, /*nb_add*/
	(binaryfunc)    Vector_sub, /*nb_subtract*/
	(binaryfunc)    Vector_mul, /*nb_multiply*/
	NULL,                       /*nb_remainder*/
	NULL,                       /*nb_divmod*/
	NULL,                       /*nb_power*/
	(unaryfunc)     Vector_neg, /*nb_negative*/
	(unaryfunc)     Vector_copy,/*tp_positive*/
	(unaryfunc)     NULL,       /*tp_absolute*/
	(inquiry)   NULL,           /*tp_bool*/
	(unaryfunc) NULL,           /*nb_invert*/
	NULL,                       /*nb_lshift*/
	(binaryfunc)NULL,           /*nb_rshift*/
	NULL,                       /*nb_and*/
	NULL,                       /*nb_xor*/
	NULL,                       /*nb_or*/
	NULL,                       /*nb_int*/
	NULL,                       /*nb_reserved*/
	NULL,                       /*nb_float*/
	Vector_iadd,                /* nb_inplace_add */
	Vector_isub,                /* nb_inplace_subtract */
	Vector_imul,                /* nb_inplace_multiply */
	NULL,                       /* nb_inplace_remainder */
	NULL,                       /* nb_inplace_power */
	NULL,                       /* nb_inplace_lshift */
	NULL,                       /* nb_inplace_rshift */
	NULL,                       /* nb_inplace_and */
	NULL,                       /* nb_inplace_xor */
	NULL,                       /* nb_inplace_or */
	NULL,                       /* nb_floor_divide */
	Vector_div,                 /* nb_true_divide */
	NULL,                       /* nb_inplace_floor_divide */
	Vector_idiv,                /* nb_inplace_true_divide */
	NULL,                       /* nb_index */
	(binaryfunc) Vector_matmul, /* nb_matrix_multiply */
	(binaryfunc) Vector_imatmul, /* nb_inplace_matrix_multiply */
};

/*------------------PY_OBECT DEFINITION--------------------------*/

/* vector axis, vector.x/y/z/w */

PyDoc_STRVAR(Vector_axis_x_doc, "Vector X axis.\n\n:type: float");
PyDoc_STRVAR(Vector_axis_y_doc, "Vector Y axis.\n\n:type: float");
PyDoc_STRVAR(Vector_axis_z_doc, "Vector Z axis (3D Vectors only).\n\n:type: float");
PyDoc_STRVAR(Vector_axis_w_doc, "Vector W axis (4D Vectors only).\n\n:type: float");

static PyObject *Vector_axis_get(VectorObject *self, void *type)
{
	return vector_item_internal(self, POINTER_AS_INT(type), true);
}

static int Vector_axis_set(VectorObject *self, PyObject *value, void *type)
{
	return vector_ass_item_internal(self, POINTER_AS_INT(type), value, true);
}

/* vector.length */

PyDoc_STRVAR(Vector_length_doc,
"Vector Length.\n\n:type: float"
);
static PyObject *Vector_length_get(VectorObject *self, void *UNUSED(closure))
{
	if (BaseMath_ReadCallback(self) == -1) {
		return NULL;
	}

	return PyFloat_FromDouble(sqrt(dot_vn_vn(self->vec, self->vec, self->size)));
}

static int Vector_length_set(VectorObject *self, PyObject *value)
{
	double dot = 0.0f, param;

	if (BaseMath_ReadCallback_ForWrite(self) == -1) {
		return -1;
	}

	if ((param = PyFloat_AsDouble(value)) == -1.0 && PyErr_Occurred()) {
		PyErr_SetString(PyExc_TypeError,
		                "length must be set to a number");
		return -1;
	}

	if (param < 0.0) {
		PyErr_SetString(PyExc_ValueError,
		                "cannot set a vectors length to a negative value");
		return -1;
	}
	if (param == 0.0) {
		copy_vn_fl(self->vec, self->size, 0.0f);
		return 0;
	}

	dot = dot_vn_vn(self->vec, self->vec, self->size);

	if (!dot) {
		/* cant sqrt zero */
		return 0;
	}

	dot = sqrt(dot);

	if (dot == param) {
		return 0;
	}

	dot = dot / param;

	mul_vn_fl(self->vec, self->size, 1.0 / dot);

	(void)BaseMath_WriteCallback(self); /* checked already */

	return 0;
}

/* vector.length_squared */
PyDoc_STRVAR(Vector_length_squared_doc,
"Vector length squared (v.dot(v)).\n\n:type: float"
);
static PyObject *Vector_length_squared_get(VectorObject *self, void *UNUSED(closure))
{
	if (BaseMath_ReadCallback(self) == -1) {
		return NULL;
	}

	return PyFloat_FromDouble(dot_vn_vn(self->vec, self->vec, self->size));
}


/**
 * Python script used to make swizzle array:
 *
 * \code{.py}
 * SWIZZLE_BITS_PER_AXIS = 3
 * SWIZZLE_VALID_AXIS = 0x4
 *
 * axis_dict = {}
 * axis_pos = {'x': 0, 'y': 1, 'z': 2, 'w': 3}
 * axises = 'xyzw'
 * while len(axises) >= 2:
 *     for axis_0 in axises:
 *         axis_0_pos = axis_pos[axis_0]
 *         for axis_1 in axises:
 *             axis_1_pos = axis_pos[axis_1]
 *             axis_dict[axis_0 + axis_1] = (
 *                 '((%s | SWIZZLE_VALID_AXIS) | '
 *                 '((%s | SWIZZLE_VALID_AXIS) << SWIZZLE_BITS_PER_AXIS))' %
 *                 (axis_0_pos, axis_1_pos))
 *             if len(axises) > 2:
 *                 for axis_2 in axises:
 *                     axis_2_pos = axis_pos[axis_2]
 *                     axis_dict[axis_0 + axis_1 + axis_2] = (
 *                         '((%s | SWIZZLE_VALID_AXIS) | '
 *                         '((%s | SWIZZLE_VALID_AXIS) << SWIZZLE_BITS_PER_AXIS) | '
 *                         '((%s | SWIZZLE_VALID_AXIS) << (SWIZZLE_BITS_PER_AXIS * 2)))' %
 *                         (axis_0_pos, axis_1_pos, axis_2_pos))
 *                     if len(axises) > 3:
 *                         for axis_3 in axises:
 *                             axis_3_pos = axis_pos[axis_3]
 *                             axis_dict[axis_0 + axis_1 + axis_2 + axis_3] = (
 *                                 '((%s | SWIZZLE_VALID_AXIS) | '
 *                                 '((%s | SWIZZLE_VALID_AXIS) << SWIZZLE_BITS_PER_AXIS) | '
 *                                 '((%s | SWIZZLE_VALID_AXIS) << (SWIZZLE_BITS_PER_AXIS * 2)) | '
 *                                 '((%s | SWIZZLE_VALID_AXIS) << (SWIZZLE_BITS_PER_AXIS * 3)))  ' %
 *                                 (axis_0_pos, axis_1_pos, axis_2_pos, axis_3_pos))
 *
 *     axises = axises[:-1]
 * items = list(axis_dict.items())
 * items.sort(key=lambda a: a[0].replace('x', '0').replace('y', '1').replace('z', '2').replace('w', '3'))
 *
 * unique = set()
 * for key, val in items:
 *     num = eval(val)
 *     set_str = 'Vector_swizzle_set' if (len(set(key)) == len(key)) else 'NULL'
 *     key_args = ', '.join(["'%s'" % c for c in key.upper()])
 *     print('\t{(char *)"%s", %s(getter)Vector_swizzle_get, (setter)%s, NULL, SWIZZLE%d(%s)},' %
 *           (key, (' ' * (4 - len(key))), set_str, len(key), key_args))
 *     unique.add(num)
 *
 * if len(unique) != len(items):
 *     print("ERROR, duplicate values found")
 * \endcode
 */

/**
 * Get a new Vector according to the provided swizzle bits.
 */
static PyObject *Vector_swizzle_get(VectorObject *self, void *closure)
{
	size_t axis_to;
	size_t axis_from;
	float vec[MAX_DIMENSIONS];
	unsigned int swizzleClosure;

	if (BaseMath_ReadCallback(self) == -1) {
		return NULL;
	}

	/* Unpack the axes from the closure into an array. */
	axis_to = 0;
	swizzleClosure = POINTER_AS_INT(closure);
	while (swizzleClosure & SWIZZLE_VALID_AXIS) {
		axis_from = swizzleClosure & SWIZZLE_AXIS;
		if (axis_from >= self->size) {
			PyErr_SetString(PyExc_AttributeError,
			                "Vector swizzle: "
			                "specified axis not present");
			return NULL;
		}

		vec[axis_to] = self->vec[axis_from];
		swizzleClosure = swizzleClosure >> SWIZZLE_BITS_PER_AXIS;
		axis_to++;
	}

	return Vector_CreatePyObject(vec, axis_to, Py_TYPE(self));
}

/**
 * Set the items of this vector using a swizzle.
 * - If value is a vector or list this operates like an array copy, except that
 *   the destination is effectively re-ordered as defined by the swizzle. At
 *   most min(len(source), len(dest)) values will be copied.
 * - If the value is scalar, it is copied to all axes listed in the swizzle.
 * - If an axis appears more than once in the swizzle, the final occurrence is
 *   the one that determines its value.
 *
 * \return 0 on success and -1 on failure. On failure, the vector will be unchanged.
 */
static int Vector_swizzle_set(VectorObject *self, PyObject *value, void *closure)
{
	size_t size_from;
	float scalarVal;

	size_t axis_from;
	size_t axis_to;

	unsigned int swizzleClosure;

	float tvec[MAX_DIMENSIONS];
	float vec_assign[MAX_DIMENSIONS];

	if (BaseMath_ReadCallback_ForWrite(self) == -1) {
		return -1;
	}

	/* Check that the closure can be used with this vector: even 2D vectors have
	 * swizzles defined for axes z and w, but they would be invalid. */
	swizzleClosure = POINTER_AS_INT(closure);
	axis_from = 0;

	while (swizzleClosure & SWIZZLE_VALID_AXIS) {
		axis_to = swizzleClosure & SWIZZLE_AXIS;
		if (axis_to >= self->size) {
			PyErr_SetString(PyExc_AttributeError,
			                "Vector swizzle: "
			                "specified axis not present");
			return -1;
		}
		swizzleClosure = swizzleClosure >> SWIZZLE_BITS_PER_AXIS;
		axis_from++;
	}

	if (((scalarVal = PyFloat_AsDouble(value)) == -1 && PyErr_Occurred()) == 0) {
		int i;

		for (i = 0; i < MAX_DIMENSIONS; i++) {
			vec_assign[i] = scalarVal;
		}

		size_from = axis_from;
	}
	else if (((void)PyErr_Clear()), /* run but ignore the result */
	         (size_from = mathutils_array_parse(vec_assign, 2, 4, value,
	                                            "mathutils.Vector.**** = swizzle assignment")) == -1)
	{
		return -1;
	}

	if (axis_from != size_from) {
		PyErr_SetString(PyExc_AttributeError,
		                "Vector swizzle: size does not match swizzle");
		return -1;
	}

	/* Copy vector contents onto swizzled axes. */
	axis_from = 0;
	swizzleClosure = POINTER_AS_INT(closure);

	/* We must first copy current vec into tvec, else some org values may be lost.
	 * See [#31760].
	 * Assuming self->size can't be higher than MAX_DIMENSIONS! */
	memcpy(tvec, self->vec, self->size * sizeof(float));

	while (swizzleClosure & SWIZZLE_VALID_AXIS) {
		axis_to = swizzleClosure & SWIZZLE_AXIS;
		tvec[axis_to] = vec_assign[axis_from];
		swizzleClosure = swizzleClosure >> SWIZZLE_BITS_PER_AXIS;
		axis_from++;
	}

	/* We must copy back the whole tvec into vec, else some changes may be lost (e.g. xz...).
	 * See [#31760]. */
	memcpy(self->vec, tvec, self->size * sizeof(float));
	/* continue with BaseMathObject_WriteCallback at the end */

	if (BaseMath_WriteCallback(self) == -1) {
		return -1;
	}
	else {
		return 0;
	}
}

#define _SWIZZLE1(a)                                 ((a) | SWIZZLE_VALID_AXIS)
#define _SWIZZLE2(a, b)       (_SWIZZLE1(a)       | (((b) | SWIZZLE_VALID_AXIS) << (SWIZZLE_BITS_PER_AXIS)))
#define _SWIZZLE3(a, b, c)    (_SWIZZLE2(a, b)    | (((c) | SWIZZLE_VALID_AXIS) << (SWIZZLE_BITS_PER_AXIS * 2)))
#define _SWIZZLE4(a, b, c, d) (_SWIZZLE3(a, b, c) | (((d) | SWIZZLE_VALID_AXIS) << (SWIZZLE_BITS_PER_AXIS * 3)))

#define SWIZZLE2(a, b)       POINTER_FROM_INT(_SWIZZLE2(a, b))
#define SWIZZLE3(a, b, c)    POINTER_FROM_INT(_SWIZZLE3(a, b, c))
#define SWIZZLE4(a, b, c, d) POINTER_FROM_INT(_SWIZZLE4(a, b, c, d))

/*****************************************************************************/
/* Python attributes get/set structure:                                      */
/*****************************************************************************/
static PyGetSetDef Vector_getseters[] = {
	{(char *)"x", (getter)Vector_axis_get, (setter)Vector_axis_set, Vector_axis_x_doc, (void *)0},
	{(char *)"y", (getter)Vector_axis_get, (setter)Vector_axis_set, Vector_axis_y_doc, (void *)1},
	{(char *)"z", (getter)Vector_axis_get, (setter)Vector_axis_set, Vector_axis_z_doc, (void *)2},
	{(char *)"w", (getter)Vector_axis_get, (setter)Vector_axis_set, Vector_axis_w_doc, (void *)3},
	{(char *)"length", (getter)Vector_length_get, (setter)Vector_length_set, Vector_length_doc, NULL},
	{(char *)"length_squared", (getter)Vector_length_squared_get, (setter)NULL, Vector_length_squared_doc, NULL},
	{(char *)"magnitude", (getter)Vector_length_get, (setter)Vector_length_set, Vector_length_doc, NULL},
	{(char *)"is_wrapped", (getter)BaseMathObject_is_wrapped_get, (setter)NULL, BaseMathObject_is_wrapped_doc, NULL},
	{(char *)"is_frozen",  (getter)BaseMathObject_is_frozen_get,  (setter)NULL, BaseMathObject_is_frozen_doc, NULL},
	{(char *)"owner", (getter)BaseMathObject_owner_get, (setter)NULL, BaseMathObject_owner_doc, NULL},

	/* autogenerated swizzle attrs, see Python script above */
	{(char *)"xx",   (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE2(0, 0)},
	{(char *)"xxx",  (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE3(0, 0, 0)},
	{(char *)"xxxx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 0, 0, 0)},
	{(char *)"xxxy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 0, 0, 1)},
	{(char *)"xxxz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 0, 0, 2)},
	{(char *)"xxxw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 0, 0, 3)},
	{(char *)"xxy",  (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE3(0, 0, 1)},
	{(char *)"xxyx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 0, 1, 0)},
	{(char *)"xxyy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 0, 1, 1)},
	{(char *)"xxyz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 0, 1, 2)},
	{(char *)"xxyw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 0, 1, 3)},
	{(char *)"xxz",  (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE3(0, 0, 2)},
	{(char *)"xxzx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 0, 2, 0)},
	{(char *)"xxzy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 0, 2, 1)},
	{(char *)"xxzz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 0, 2, 2)},
	{(char *)"xxzw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 0, 2, 3)},
	{(char *)"xxw",  (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE3(0, 0, 3)},
	{(char *)"xxwx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 0, 3, 0)},
	{(char *)"xxwy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 0, 3, 1)},
	{(char *)"xxwz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 0, 3, 2)},
	{(char *)"xxww", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 0, 3, 3)},
	{(char *)"xy",   (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE2(0, 1)},
	{(char *)"xyx",  (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE3(0, 1, 0)},
	{(char *)"xyxx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 1, 0, 0)},
	{(char *)"xyxy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 1, 0, 1)},
	{(char *)"xyxz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 1, 0, 2)},
	{(char *)"xyxw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 1, 0, 3)},
	{(char *)"xyy",  (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE3(0, 1, 1)},
	{(char *)"xyyx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 1, 1, 0)},
	{(char *)"xyyy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 1, 1, 1)},
	{(char *)"xyyz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 1, 1, 2)},
	{(char *)"xyyw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 1, 1, 3)},
	{(char *)"xyz",  (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE3(0, 1, 2)},
	{(char *)"xyzx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 1, 2, 0)},
	{(char *)"xyzy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 1, 2, 1)},
	{(char *)"xyzz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 1, 2, 2)},
	{(char *)"xyzw", (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE4(0, 1, 2, 3)},
	{(char *)"xyw",  (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE3(0, 1, 3)},
	{(char *)"xywx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 1, 3, 0)},
	{(char *)"xywy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 1, 3, 1)},
	{(char *)"xywz", (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE4(0, 1, 3, 2)},
	{(char *)"xyww", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 1, 3, 3)},
	{(char *)"xz",   (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE2(0, 2)},
	{(char *)"xzx",  (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE3(0, 2, 0)},
	{(char *)"xzxx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 2, 0, 0)},
	{(char *)"xzxy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 2, 0, 1)},
	{(char *)"xzxz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 2, 0, 2)},
	{(char *)"xzxw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 2, 0, 3)},
	{(char *)"xzy",  (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE3(0, 2, 1)},
	{(char *)"xzyx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 2, 1, 0)},
	{(char *)"xzyy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 2, 1, 1)},
	{(char *)"xzyz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 2, 1, 2)},
	{(char *)"xzyw", (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE4(0, 2, 1, 3)},
	{(char *)"xzz",  (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE3(0, 2, 2)},
	{(char *)"xzzx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 2, 2, 0)},
	{(char *)"xzzy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 2, 2, 1)},
	{(char *)"xzzz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 2, 2, 2)},
	{(char *)"xzzw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 2, 2, 3)},
	{(char *)"xzw",  (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE3(0, 2, 3)},
	{(char *)"xzwx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 2, 3, 0)},
	{(char *)"xzwy", (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE4(0, 2, 3, 1)},
	{(char *)"xzwz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 2, 3, 2)},
	{(char *)"xzww", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 2, 3, 3)},
	{(char *)"xw",   (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE2(0, 3)},
	{(char *)"xwx",  (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE3(0, 3, 0)},
	{(char *)"xwxx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 3, 0, 0)},
	{(char *)"xwxy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 3, 0, 1)},
	{(char *)"xwxz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 3, 0, 2)},
	{(char *)"xwxw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 3, 0, 3)},
	{(char *)"xwy",  (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE3(0, 3, 1)},
	{(char *)"xwyx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 3, 1, 0)},
	{(char *)"xwyy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 3, 1, 1)},
	{(char *)"xwyz", (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE4(0, 3, 1, 2)},
	{(char *)"xwyw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 3, 1, 3)},
	{(char *)"xwz",  (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE3(0, 3, 2)},
	{(char *)"xwzx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 3, 2, 0)},
	{(char *)"xwzy", (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE4(0, 3, 2, 1)},
	{(char *)"xwzz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 3, 2, 2)},
	{(char *)"xwzw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 3, 2, 3)},
	{(char *)"xww",  (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE3(0, 3, 3)},
	{(char *)"xwwx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 3, 3, 0)},
	{(char *)"xwwy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 3, 3, 1)},
	{(char *)"xwwz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 3, 3, 2)},
	{(char *)"xwww", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(0, 3, 3, 3)},
	{(char *)"yx",   (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE2(1, 0)},
	{(char *)"yxx",  (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE3(1, 0, 0)},
	{(char *)"yxxx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 0, 0, 0)},
	{(char *)"yxxy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 0, 0, 1)},
	{(char *)"yxxz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 0, 0, 2)},
	{(char *)"yxxw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 0, 0, 3)},
	{(char *)"yxy",  (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE3(1, 0, 1)},
	{(char *)"yxyx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 0, 1, 0)},
	{(char *)"yxyy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 0, 1, 1)},
	{(char *)"yxyz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 0, 1, 2)},
	{(char *)"yxyw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 0, 1, 3)},
	{(char *)"yxz",  (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE3(1, 0, 2)},
	{(char *)"yxzx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 0, 2, 0)},
	{(char *)"yxzy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 0, 2, 1)},
	{(char *)"yxzz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 0, 2, 2)},
	{(char *)"yxzw", (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE4(1, 0, 2, 3)},
	{(char *)"yxw",  (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE3(1, 0, 3)},
	{(char *)"yxwx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 0, 3, 0)},
	{(char *)"yxwy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 0, 3, 1)},
	{(char *)"yxwz", (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE4(1, 0, 3, 2)},
	{(char *)"yxww", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 0, 3, 3)},
	{(char *)"yy",   (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE2(1, 1)},
	{(char *)"yyx",  (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE3(1, 1, 0)},
	{(char *)"yyxx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 1, 0, 0)},
	{(char *)"yyxy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 1, 0, 1)},
	{(char *)"yyxz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 1, 0, 2)},
	{(char *)"yyxw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 1, 0, 3)},
	{(char *)"yyy",  (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE3(1, 1, 1)},
	{(char *)"yyyx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 1, 1, 0)},
	{(char *)"yyyy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 1, 1, 1)},
	{(char *)"yyyz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 1, 1, 2)},
	{(char *)"yyyw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 1, 1, 3)},
	{(char *)"yyz",  (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE3(1, 1, 2)},
	{(char *)"yyzx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 1, 2, 0)},
	{(char *)"yyzy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 1, 2, 1)},
	{(char *)"yyzz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 1, 2, 2)},
	{(char *)"yyzw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 1, 2, 3)},
	{(char *)"yyw",  (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE3(1, 1, 3)},
	{(char *)"yywx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 1, 3, 0)},
	{(char *)"yywy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 1, 3, 1)},
	{(char *)"yywz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 1, 3, 2)},
	{(char *)"yyww", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 1, 3, 3)},
	{(char *)"yz",   (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE2(1, 2)},
	{(char *)"yzx",  (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE3(1, 2, 0)},
	{(char *)"yzxx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 2, 0, 0)},
	{(char *)"yzxy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 2, 0, 1)},
	{(char *)"yzxz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 2, 0, 2)},
	{(char *)"yzxw", (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE4(1, 2, 0, 3)},
	{(char *)"yzy",  (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE3(1, 2, 1)},
	{(char *)"yzyx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 2, 1, 0)},
	{(char *)"yzyy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 2, 1, 1)},
	{(char *)"yzyz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 2, 1, 2)},
	{(char *)"yzyw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 2, 1, 3)},
	{(char *)"yzz",  (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE3(1, 2, 2)},
	{(char *)"yzzx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 2, 2, 0)},
	{(char *)"yzzy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 2, 2, 1)},
	{(char *)"yzzz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 2, 2, 2)},
	{(char *)"yzzw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 2, 2, 3)},
	{(char *)"yzw",  (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE3(1, 2, 3)},
	{(char *)"yzwx", (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE4(1, 2, 3, 0)},
	{(char *)"yzwy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 2, 3, 1)},
	{(char *)"yzwz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 2, 3, 2)},
	{(char *)"yzww", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 2, 3, 3)},
	{(char *)"yw",   (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE2(1, 3)},
	{(char *)"ywx",  (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE3(1, 3, 0)},
	{(char *)"ywxx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 3, 0, 0)},
	{(char *)"ywxy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 3, 0, 1)},
	{(char *)"ywxz", (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE4(1, 3, 0, 2)},
	{(char *)"ywxw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 3, 0, 3)},
	{(char *)"ywy",  (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE3(1, 3, 1)},
	{(char *)"ywyx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 3, 1, 0)},
	{(char *)"ywyy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 3, 1, 1)},
	{(char *)"ywyz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 3, 1, 2)},
	{(char *)"ywyw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 3, 1, 3)},
	{(char *)"ywz",  (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE3(1, 3, 2)},
	{(char *)"ywzx", (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE4(1, 3, 2, 0)},
	{(char *)"ywzy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 3, 2, 1)},
	{(char *)"ywzz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 3, 2, 2)},
	{(char *)"ywzw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 3, 2, 3)},
	{(char *)"yww",  (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE3(1, 3, 3)},
	{(char *)"ywwx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 3, 3, 0)},
	{(char *)"ywwy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 3, 3, 1)},
	{(char *)"ywwz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 3, 3, 2)},
	{(char *)"ywww", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(1, 3, 3, 3)},
	{(char *)"zx",   (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE2(2, 0)},
	{(char *)"zxx",  (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE3(2, 0, 0)},
	{(char *)"zxxx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 0, 0, 0)},
	{(char *)"zxxy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 0, 0, 1)},
	{(char *)"zxxz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 0, 0, 2)},
	{(char *)"zxxw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 0, 0, 3)},
	{(char *)"zxy",  (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE3(2, 0, 1)},
	{(char *)"zxyx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 0, 1, 0)},
	{(char *)"zxyy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 0, 1, 1)},
	{(char *)"zxyz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 0, 1, 2)},
	{(char *)"zxyw", (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE4(2, 0, 1, 3)},
	{(char *)"zxz",  (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE3(2, 0, 2)},
	{(char *)"zxzx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 0, 2, 0)},
	{(char *)"zxzy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 0, 2, 1)},
	{(char *)"zxzz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 0, 2, 2)},
	{(char *)"zxzw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 0, 2, 3)},
	{(char *)"zxw",  (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE3(2, 0, 3)},
	{(char *)"zxwx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 0, 3, 0)},
	{(char *)"zxwy", (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE4(2, 0, 3, 1)},
	{(char *)"zxwz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 0, 3, 2)},
	{(char *)"zxww", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 0, 3, 3)},
	{(char *)"zy",   (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE2(2, 1)},
	{(char *)"zyx",  (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE3(2, 1, 0)},
	{(char *)"zyxx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 1, 0, 0)},
	{(char *)"zyxy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 1, 0, 1)},
	{(char *)"zyxz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 1, 0, 2)},
	{(char *)"zyxw", (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE4(2, 1, 0, 3)},
	{(char *)"zyy",  (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE3(2, 1, 1)},
	{(char *)"zyyx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 1, 1, 0)},
	{(char *)"zyyy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 1, 1, 1)},
	{(char *)"zyyz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 1, 1, 2)},
	{(char *)"zyyw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 1, 1, 3)},
	{(char *)"zyz",  (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE3(2, 1, 2)},
	{(char *)"zyzx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 1, 2, 0)},
	{(char *)"zyzy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 1, 2, 1)},
	{(char *)"zyzz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 1, 2, 2)},
	{(char *)"zyzw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 1, 2, 3)},
	{(char *)"zyw",  (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE3(2, 1, 3)},
	{(char *)"zywx", (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE4(2, 1, 3, 0)},
	{(char *)"zywy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 1, 3, 1)},
	{(char *)"zywz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 1, 3, 2)},
	{(char *)"zyww", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 1, 3, 3)},
	{(char *)"zz",   (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE2(2, 2)},
	{(char *)"zzx",  (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE3(2, 2, 0)},
	{(char *)"zzxx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 2, 0, 0)},
	{(char *)"zzxy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 2, 0, 1)},
	{(char *)"zzxz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 2, 0, 2)},
	{(char *)"zzxw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 2, 0, 3)},
	{(char *)"zzy",  (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE3(2, 2, 1)},
	{(char *)"zzyx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 2, 1, 0)},
	{(char *)"zzyy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 2, 1, 1)},
	{(char *)"zzyz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 2, 1, 2)},
	{(char *)"zzyw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 2, 1, 3)},
	{(char *)"zzz",  (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE3(2, 2, 2)},
	{(char *)"zzzx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 2, 2, 0)},
	{(char *)"zzzy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 2, 2, 1)},
	{(char *)"zzzz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 2, 2, 2)},
	{(char *)"zzzw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 2, 2, 3)},
	{(char *)"zzw",  (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE3(2, 2, 3)},
	{(char *)"zzwx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 2, 3, 0)},
	{(char *)"zzwy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 2, 3, 1)},
	{(char *)"zzwz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 2, 3, 2)},
	{(char *)"zzww", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 2, 3, 3)},
	{(char *)"zw",   (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE2(2, 3)},
	{(char *)"zwx",  (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE3(2, 3, 0)},
	{(char *)"zwxx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 3, 0, 0)},
	{(char *)"zwxy", (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE4(2, 3, 0, 1)},
	{(char *)"zwxz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 3, 0, 2)},
	{(char *)"zwxw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 3, 0, 3)},
	{(char *)"zwy",  (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE3(2, 3, 1)},
	{(char *)"zwyx", (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE4(2, 3, 1, 0)},
	{(char *)"zwyy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 3, 1, 1)},
	{(char *)"zwyz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 3, 1, 2)},
	{(char *)"zwyw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 3, 1, 3)},
	{(char *)"zwz",  (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE3(2, 3, 2)},
	{(char *)"zwzx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 3, 2, 0)},
	{(char *)"zwzy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 3, 2, 1)},
	{(char *)"zwzz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 3, 2, 2)},
	{(char *)"zwzw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 3, 2, 3)},
	{(char *)"zww",  (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE3(2, 3, 3)},
	{(char *)"zwwx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 3, 3, 0)},
	{(char *)"zwwy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 3, 3, 1)},
	{(char *)"zwwz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 3, 3, 2)},
	{(char *)"zwww", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(2, 3, 3, 3)},
	{(char *)"wx",   (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE2(3, 0)},
	{(char *)"wxx",  (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE3(3, 0, 0)},
	{(char *)"wxxx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 0, 0, 0)},
	{(char *)"wxxy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 0, 0, 1)},
	{(char *)"wxxz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 0, 0, 2)},
	{(char *)"wxxw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 0, 0, 3)},
	{(char *)"wxy",  (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE3(3, 0, 1)},
	{(char *)"wxyx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 0, 1, 0)},
	{(char *)"wxyy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 0, 1, 1)},
	{(char *)"wxyz", (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE4(3, 0, 1, 2)},
	{(char *)"wxyw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 0, 1, 3)},
	{(char *)"wxz",  (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE3(3, 0, 2)},
	{(char *)"wxzx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 0, 2, 0)},
	{(char *)"wxzy", (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE4(3, 0, 2, 1)},
	{(char *)"wxzz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 0, 2, 2)},
	{(char *)"wxzw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 0, 2, 3)},
	{(char *)"wxw",  (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE3(3, 0, 3)},
	{(char *)"wxwx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 0, 3, 0)},
	{(char *)"wxwy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 0, 3, 1)},
	{(char *)"wxwz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 0, 3, 2)},
	{(char *)"wxww", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 0, 3, 3)},
	{(char *)"wy",   (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE2(3, 1)},
	{(char *)"wyx",  (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE3(3, 1, 0)},
	{(char *)"wyxx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 1, 0, 0)},
	{(char *)"wyxy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 1, 0, 1)},
	{(char *)"wyxz", (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE4(3, 1, 0, 2)},
	{(char *)"wyxw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 1, 0, 3)},
	{(char *)"wyy",  (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE3(3, 1, 1)},
	{(char *)"wyyx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 1, 1, 0)},
	{(char *)"wyyy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 1, 1, 1)},
	{(char *)"wyyz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 1, 1, 2)},
	{(char *)"wyyw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 1, 1, 3)},
	{(char *)"wyz",  (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE3(3, 1, 2)},
	{(char *)"wyzx", (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE4(3, 1, 2, 0)},
	{(char *)"wyzy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 1, 2, 1)},
	{(char *)"wyzz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 1, 2, 2)},
	{(char *)"wyzw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 1, 2, 3)},
	{(char *)"wyw",  (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE3(3, 1, 3)},
	{(char *)"wywx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 1, 3, 0)},
	{(char *)"wywy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 1, 3, 1)},
	{(char *)"wywz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 1, 3, 2)},
	{(char *)"wyww", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 1, 3, 3)},
	{(char *)"wz",   (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE2(3, 2)},
	{(char *)"wzx",  (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE3(3, 2, 0)},
	{(char *)"wzxx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 2, 0, 0)},
	{(char *)"wzxy", (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE4(3, 2, 0, 1)},
	{(char *)"wzxz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 2, 0, 2)},
	{(char *)"wzxw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 2, 0, 3)},
	{(char *)"wzy",  (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE3(3, 2, 1)},
	{(char *)"wzyx", (getter)Vector_swizzle_get, (setter)Vector_swizzle_set, NULL, SWIZZLE4(3, 2, 1, 0)},
	{(char *)"wzyy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 2, 1, 1)},
	{(char *)"wzyz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 2, 1, 2)},
	{(char *)"wzyw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 2, 1, 3)},
	{(char *)"wzz",  (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE3(3, 2, 2)},
	{(char *)"wzzx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 2, 2, 0)},
	{(char *)"wzzy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 2, 2, 1)},
	{(char *)"wzzz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 2, 2, 2)},
	{(char *)"wzzw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 2, 2, 3)},
	{(char *)"wzw",  (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE3(3, 2, 3)},
	{(char *)"wzwx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 2, 3, 0)},
	{(char *)"wzwy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 2, 3, 1)},
	{(char *)"wzwz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 2, 3, 2)},
	{(char *)"wzww", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 2, 3, 3)},
	{(char *)"ww",   (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE2(3, 3)},
	{(char *)"wwx",  (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE3(3, 3, 0)},
	{(char *)"wwxx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 3, 0, 0)},
	{(char *)"wwxy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 3, 0, 1)},
	{(char *)"wwxz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 3, 0, 2)},
	{(char *)"wwxw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 3, 0, 3)},
	{(char *)"wwy",  (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE3(3, 3, 1)},
	{(char *)"wwyx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 3, 1, 0)},
	{(char *)"wwyy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 3, 1, 1)},
	{(char *)"wwyz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 3, 1, 2)},
	{(char *)"wwyw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 3, 1, 3)},
	{(char *)"wwz",  (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE3(3, 3, 2)},
	{(char *)"wwzx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 3, 2, 0)},
	{(char *)"wwzy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 3, 2, 1)},
	{(char *)"wwzz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 3, 2, 2)},
	{(char *)"wwzw", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 3, 2, 3)},
	{(char *)"www",  (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE3(3, 3, 3)},
	{(char *)"wwwx", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 3, 3, 0)},
	{(char *)"wwwy", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 3, 3, 1)},
	{(char *)"wwwz", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 3, 3, 2)},
	{(char *)"wwww", (getter)Vector_swizzle_get, (setter)NULL, NULL, SWIZZLE4(3, 3, 3, 3)},

#undef AXIS_FROM_CHAR
#undef SWIZZLE1
#undef SWIZZLE2
#undef SWIZZLE3
#undef SWIZZLE4
#undef _SWIZZLE1
#undef _SWIZZLE2
#undef _SWIZZLE3
#undef _SWIZZLE4

	{NULL, NULL, NULL, NULL, NULL}  /* Sentinel */
};

/**
 * Row vector multiplication - (Vector * Matrix)
 * <pre>
 * [x][y][z] * [1][4][7]
 *             [2][5][8]
 *             [3][6][9]
 * </pre>
 * \note vector/matrix multiplication is not commutative.
 */
static int row_vector_multiplication(float r_vec[MAX_DIMENSIONS], VectorObject *vec, MatrixObject *mat)
{
	float vec_cpy[MAX_DIMENSIONS];
	int row, col, z = 0, vec_size = vec->size;

	if (mat->num_row != vec_size) {
		if (mat->num_row == 4 && vec_size == 3) {
			vec_cpy[3] = 1.0f;
		}
		else {
			PyErr_SetString(PyExc_ValueError,
			                "vector * matrix: matrix column size "
			                "and the vector size must be the same");
			return -1;
		}
	}

	if (BaseMath_ReadCallback(vec) == -1 || BaseMath_ReadCallback(mat) == -1) {
		return -1;
	}

	memcpy(vec_cpy, vec->vec, vec_size * sizeof(float));

	r_vec[3] = 1.0f;
	/* muliplication */
	for (col = 0; col < mat->num_col; col++) {
		double dot = 0.0;
		for (row = 0; row < mat->num_row; row++) {
			dot += (double)(MATRIX_ITEM(mat, row, col) * vec_cpy[row]);
		}
		r_vec[z++] = (float)dot;
	}
	return 0;
}

/*----------------------------Vector.negate() -------------------- */
PyDoc_STRVAR(Vector_negate_doc,
".. method:: negate()\n"
"\n"
"   Set all values to their negative.\n"
);
static PyObject *Vector_negate(VectorObject *self)
{
	if (BaseMath_ReadCallback(self) == -1) {
		return NULL;
	}

	negate_vn(self->vec, self->size);

	(void)BaseMath_WriteCallback(self);  /* already checked for error */
	Py_RETURN_NONE;
}

static struct PyMethodDef Vector_methods[] = {
	/* Class Methods */
	{"Fill", (PyCFunction) C_Vector_Fill, METH_VARARGS | METH_CLASS, C_Vector_Fill_doc},
	{"Range", (PyCFunction) C_Vector_Range, METH_VARARGS | METH_CLASS, C_Vector_Range_doc},
	{"Linspace", (PyCFunction) C_Vector_Linspace, METH_VARARGS | METH_CLASS, C_Vector_Linspace_doc},
	{"Repeat", (PyCFunction) C_Vector_Repeat, METH_VARARGS | METH_CLASS, C_Vector_Repeat_doc},

	/* in place only */
	{"zero", (PyCFunction) Vector_zero, METH_NOARGS, Vector_zero_doc},
	{"negate", (PyCFunction) Vector_negate, METH_NOARGS, Vector_negate_doc},

	/* operate on original or copy */
	{"normalize", (PyCFunction) Vector_normalize, METH_NOARGS, Vector_normalize_doc},
	{"normalized", (PyCFunction) Vector_normalized, METH_NOARGS, Vector_normalized_doc},

	{"resize", (PyCFunction) Vector_resize, METH_O, Vector_resize_doc},
	{"resized", (PyCFunction) Vector_resized, METH_O, Vector_resized_doc},
	{"to_2d", (PyCFunction) Vector_to_2d, METH_NOARGS, Vector_to_2d_doc},
	{"resize_2d", (PyCFunction) Vector_resize_2d, METH_NOARGS, Vector_resize_2d_doc},
	{"to_3d", (PyCFunction) Vector_to_3d, METH_NOARGS, Vector_to_3d_doc},
	{"resize_3d", (PyCFunction) Vector_resize_3d, METH_NOARGS, Vector_resize_3d_doc},
	{"to_4d", (PyCFunction) Vector_to_4d, METH_NOARGS, Vector_to_4d_doc},
	{"resize_4d", (PyCFunction) Vector_resize_4d, METH_NOARGS, Vector_resize_4d_doc},
	{"to_tuple", (PyCFunction) Vector_to_tuple, METH_VARARGS, Vector_to_tuple_doc},
	{"to_track_quat", (PyCFunction) Vector_to_track_quat, METH_VARARGS, Vector_to_track_quat_doc},
	{"orthogonal", (PyCFunction) Vector_orthogonal, METH_NOARGS, Vector_orthogonal_doc},

	/* operation between 2 or more types  */
	{"reflect", (PyCFunction) Vector_reflect, METH_O, Vector_reflect_doc},
	{"cross", (PyCFunction) Vector_cross, METH_O, Vector_cross_doc},
	{"dot", (PyCFunction) Vector_dot, METH_O, Vector_dot_doc},
	{"angle", (PyCFunction) Vector_angle, METH_VARARGS, Vector_angle_doc},
	{"angle_signed", (PyCFunction) Vector_angle_signed, METH_VARARGS, Vector_angle_signed_doc},
	{"rotation_difference", (PyCFunction) Vector_rotation_difference, METH_O, Vector_rotation_difference_doc},
	{"project", (PyCFunction) Vector_project, METH_O, Vector_project_doc},
	{"lerp", (PyCFunction) Vector_lerp, METH_VARARGS, Vector_lerp_doc},
	{"slerp", (PyCFunction) Vector_slerp, METH_VARARGS, Vector_slerp_doc},
	{"rotate", (PyCFunction) Vector_rotate, METH_O, Vector_rotate_doc},

	/* base-math methods */
	{"freeze", (PyCFunction)BaseMathObject_freeze, METH_NOARGS, BaseMathObject_freeze_doc},

	{"copy", (PyCFunction) Vector_copy, METH_NOARGS, Vector_copy_doc},
	{"__copy__", (PyCFunction) Vector_copy, METH_NOARGS, NULL},
	{"__deepcopy__", (PyCFunction) Vector_deepcopy, METH_VARARGS, NULL},
	{NULL, NULL, 0, NULL},
};


/**
 * Note:
 * #Py_TPFLAGS_CHECKTYPES allows us to avoid casting all types to Vector when coercing
 * but this means for eg that (vec * mat) and (mat * vec)
 * both get sent to Vector_mul and it needs to sort out the order
 */

PyDoc_STRVAR(vector_doc,
".. class:: Vector(seq)\n"
"\n"
"   This object gives access to Vectors in Blender.\n"
"\n"
"   :param seq: Components of the vector, must be a sequence of at least two\n"
"   :type seq: sequence of numbers\n"
);
PyTypeObject vector_Type = {
	PyVarObject_HEAD_INIT(NULL, 0)
	/*  For printing, in format "<module>.<name>" */
	"Vector",             /* char *tp_name; */
	sizeof(VectorObject),         /* int tp_basicsize; */
	0,                          /* tp_itemsize;  For allocation */

	/* Methods to implement standard operations */

	(destructor) BaseMathObject_dealloc, /* destructor tp_dealloc; */
	NULL,                       /* printfunc tp_print; */
	NULL,                       /* getattrfunc tp_getattr; */
	NULL,                       /* setattrfunc tp_setattr; */
	NULL,   /* cmpfunc tp_compare; */
	(reprfunc)Vector_repr,     /* reprfunc tp_repr; */

	/* Method suites for standard classes */

	&Vector_NumMethods,                       /* PyNumberMethods *tp_as_number; */
	&Vector_SeqMethods,                       /* PySequenceMethods *tp_as_sequence; */
	&Vector_AsMapping,                       /* PyMappingMethods *tp_as_mapping; */

	/* More standard operations (here for binary compatibility) */

	(hashfunc)Vector_hash,      /* hashfunc tp_hash; */
	NULL,                       /* ternaryfunc tp_call; */
#ifndef MATH_STANDALONE
	(reprfunc)Vector_str,       /* reprfunc tp_str; */
#else
	NULL,                       /* reprfunc tp_str; */
#endif
	NULL,                       /* getattrofunc tp_getattro; */
	NULL,                       /* setattrofunc tp_setattro; */

	/* Functions to access object as input/output buffer */
	NULL,                       /* PyBufferProcs *tp_as_buffer; */

	/*** Flags to define presence of optional/expanded features ***/
	Py_TPFLAGS_DEFAULT | Py_TPFLAGS_BASETYPE | Py_TPFLAGS_HAVE_GC,
	vector_doc,                       /*  char *tp_doc;  Documentation string */
	/*** Assigned meaning in release 2.0 ***/

	/* call function for all accessible objects */
	(traverseproc)BaseMathObject_traverse,  /* tp_traverse */

	/* delete references to contained objects */
	(inquiry)BaseMathObject_clear,  /* tp_clear */

	/***  Assigned meaning in release 2.1 ***/
	/*** rich comparisons ***/
	(richcmpfunc)Vector_richcmpr,                       /* richcmpfunc tp_richcompare; */

	/***  weak reference enabler ***/
	0,                          /* long tp_weaklistoffset; */

	/*** Added in release 2.2 ***/
	/*   Iterators */
	NULL,                       /* getiterfunc tp_iter; */
	NULL,                       /* iternextfunc tp_iternext; */

	/*** Attribute descriptor and subclassing stuff ***/
	Vector_methods,           /* struct PyMethodDef *tp_methods; */
	NULL,                       /* struct PyMemberDef *tp_members; */
	Vector_getseters,           /* struct PyGetSetDef *tp_getset; */
	NULL,                       /* struct _typeobject *tp_base; */
	NULL,                       /* PyObject *tp_dict; */
	NULL,                       /* descrgetfunc tp_descr_get; */
	NULL,                       /* descrsetfunc tp_descr_set; */
	0,                          /* long tp_dictoffset; */
	NULL,                       /* initproc tp_init; */
	NULL,                       /* allocfunc tp_alloc; */
	Vector_new,                 /* newfunc tp_new; */
	/*  Low-level free-memory routine */
	NULL,                       /* freefunc tp_free;  */
	/* For PyObject_IS_GC */
	NULL,                       /* inquiry tp_is_gc;  */
	NULL,                       /* PyObject *tp_bases; */
	/* method resolution order */
	NULL,                       /* PyObject *tp_mro;  */
	NULL,                       /* PyObject *tp_cache; */
	NULL,                       /* PyObject *tp_subclasses; */
	NULL,                       /* PyObject *tp_weaklist; */
	NULL,
};

PyObject *Vector_CreatePyObject(
        const float *vec, const int size,
        PyTypeObject *base_type)
{
	VectorObject *self;
	float *vec_alloc;

	if (size < 2) {
		PyErr_SetString(PyExc_RuntimeError,
		                "Vector(): invalid size");
		return NULL;
	}

	vec_alloc = PyMem_Malloc(size * sizeof(float));
	if (UNLIKELY(vec_alloc == NULL)) {
		PyErr_SetString(PyExc_MemoryError,
		                "Vector(): "
		                "problem allocating data");
		return NULL;
	}

	self = BASE_MATH_NEW(VectorObject, vector_Type, base_type);
	if (self) {
		self->vec = vec_alloc;
		self->size = size;

		/* init callbacks as NULL */
		self->cb_user = NULL;
		self->cb_type = self->cb_subtype = 0;

		if (vec) {
			memcpy(self->vec, vec, size * sizeof(float));
		}
		else { /* new empty */
			copy_vn_fl(self->vec, size, 0.0f);
			if (size == 4) {  /* do the homogeneous thing */
				self->vec[3] = 1.0f;
			}
		}
		self->flag = BASE_MATH_FLAG_DEFAULT;
	}
	else {
		PyMem_Free(vec_alloc);
	}

	return (PyObject *)self;
}

/**
 * Create a vector that wraps existing memory.
 *
 * \param vec: Use this vector in-place.
 */
PyObject *Vector_CreatePyObject_wrap(
        float *vec, const int size,
        PyTypeObject *base_type)
{
	VectorObject *self;

	if (size < 2) {
		PyErr_SetString(PyExc_RuntimeError,
		                "Vector(): invalid size");
		return NULL;
	}

	self = BASE_MATH_NEW(VectorObject, vector_Type, base_type);
	if (self) {
		self->size = size;

		/* init callbacks as NULL */
		self->cb_user = NULL;
		self->cb_type = self->cb_subtype = 0;

		self->vec = vec;
		self->flag = BASE_MATH_FLAG_DEFAULT | BASE_MATH_FLAG_IS_WRAP;
	}
	return (PyObject *) self;
}

/**
 * Create a vector where the value is defined by registered callbacks,
 * see: #Mathutils_RegisterCallback
 */
PyObject *Vector_CreatePyObject_cb(
        PyObject *cb_user, int size,
        unsigned char cb_type, unsigned char cb_subtype)
{
	VectorObject *self = (VectorObject *)Vector_CreatePyObject(NULL, size, NULL);
	if (self) {
		Py_INCREF(cb_user);
		self->cb_user         = cb_user;
		self->cb_type         = cb_type;
		self->cb_subtype      = cb_subtype;
		PyObject_GC_Track(self);
	}

	return (PyObject *)self;
}

/**
 * \param vec: Initialized vector value to use in-place, allocated with: PyMem_Malloc
 */
PyObject *Vector_CreatePyObject_alloc(
        float *vec, const int size,
        PyTypeObject *base_type)
{
	VectorObject *self;
	self = (VectorObject *)Vector_CreatePyObject_wrap(vec, size, base_type);
	if (self) {
		self->flag = BASE_MATH_FLAG_DEFAULT;
	}

	return (PyObject *)self;
}