/*
 * ***** BEGIN GPL LICENSE BLOCK *****
 *
 * 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.
 *
 * Contributor(s): Joseph Gilbert
 *
 * ***** END GPL LICENSE BLOCK *****
 */

/** \file blender/python/mathutils/mathutils_Euler.c
 *  \ingroup pymathutils
 */


#include <Python.h>

#include "mathutils.h"

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

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

#define EULER_SIZE 3

/* ----------------------------------mathutils.Euler() ------------------- */
/* makes a new euler for you to play with */
static PyObject *Euler_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
{
	PyObject *seq = NULL;
	const char *order_str = NULL;

	float eul[EULER_SIZE] = {0.0f, 0.0f, 0.0f};
	short order = EULER_ORDER_XYZ;

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

	if (!PyArg_ParseTuple(args, "|Os:mathutils.Euler", &seq, &order_str))
		return NULL;

	switch (PyTuple_GET_SIZE(args)) {
		case 0:
			break;
		case 2:
			if ((order = euler_order_from_string(order_str, "mathutils.Euler()")) == -1)
				return NULL;
			/* fall-through */
		case 1:
			if (mathutils_array_parse(eul, EULER_SIZE, EULER_SIZE, seq, "mathutils.Euler()") == -1)
				return NULL;
			break;
	}
	return Euler_CreatePyObject(eul, order, Py_NEW, type);
}

/* internal use, assume read callback is done */
static const char *euler_order_str(EulerObject *self)
{
	static const char order[][4] = {"XYZ", "XZY", "YXZ", "YZX", "ZXY", "ZYX"};
	return order[self->order - EULER_ORDER_XYZ];
}

short euler_order_from_string(const char *str, const char *error_prefix)
{
	if ((str[0] && str[1] && str[2] && str[3] == '\0')) {

#ifdef __LITTLE_ENDIAN__
#  define MAKE_ID3(a, b, c)  (((a)) | ((b) << 8) | ((c) << 16))
#else
#  define MAKE_ID3(a, b, c)  (((a) << 24) | ((b) << 16) | ((c) << 8))
#endif

		switch (*((PY_INT32_T *)str)) {
			case MAKE_ID3('X', 'Y', 'Z'): return EULER_ORDER_XYZ;
			case MAKE_ID3('X', 'Z', 'Y'): return EULER_ORDER_XZY;
			case MAKE_ID3('Y', 'X', 'Z'): return EULER_ORDER_YXZ;
			case MAKE_ID3('Y', 'Z', 'X'): return EULER_ORDER_YZX;
			case MAKE_ID3('Z', 'X', 'Y'): return EULER_ORDER_ZXY;
			case MAKE_ID3('Z', 'Y', 'X'): return EULER_ORDER_ZYX;
		}

#undef MAKE_ID3
	}

	PyErr_Format(PyExc_ValueError,
	             "%s: invalid euler order '%s'",
	             error_prefix, str);
	return -1;
}

/* note: BaseMath_ReadCallback must be called beforehand */
static PyObject *Euler_ToTupleExt(EulerObject *self, int ndigits)
{
	PyObject *ret;
	int i;

	ret = PyTuple_New(EULER_SIZE);

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

	return ret;
}

/* -----------------------------METHODS----------------------------
 * return a quaternion representation of the euler */

PyDoc_STRVAR(Euler_to_quaternion_doc,
".. method:: to_quaternion()\n"
"\n"
"   Return a quaternion representation of the euler.\n"
"\n"
"   :return: Quaternion representation of the euler.\n"
"   :rtype: :class:`Quaternion`\n"
);
static PyObject *Euler_to_quaternion(EulerObject *self)
{
	float quat[4];

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

	eulO_to_quat(quat, self->eul, self->order);

	return Quaternion_CreatePyObject(quat, Py_NEW, NULL);
}

/* return a matrix representation of the euler */
PyDoc_STRVAR(Euler_to_matrix_doc,
".. method:: to_matrix()\n"
"\n"
"   Return a matrix representation of the euler.\n"
"\n"
"   :return: A 3x3 roation matrix representation of the euler.\n"
"   :rtype: :class:`Matrix`\n"
);
static PyObject *Euler_to_matrix(EulerObject *self)
{
	float mat[9];

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

	eulO_to_mat3((float (*)[3])mat, self->eul, self->order);

	return Matrix_CreatePyObject(mat, 3, 3, Py_NEW, NULL);
}

PyDoc_STRVAR(Euler_zero_doc,
".. method:: zero()\n"
"\n"
"   Set all values to zero.\n"
);
static PyObject *Euler_zero(EulerObject *self)
{
	zero_v3(self->eul);

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

	Py_RETURN_NONE;
}

PyDoc_STRVAR(Euler_rotate_axis_doc,
".. method:: rotate_axis(axis, angle)\n"
"\n"
"   Rotates the euler a certain amount and returning a unique euler rotation\n"
"   (no 720 degree pitches).\n"
"\n"
"   :arg axis: single character in ['X, 'Y', 'Z'].\n"
"   :type axis: string\n"
"   :arg angle: angle in radians.\n"
"   :type angle: float\n"
);
static PyObject *Euler_rotate_axis(EulerObject *self, PyObject *args)
{
	float angle = 0.0f;
	int axis; /* actually a character */

	if (!PyArg_ParseTuple(args, "Cf:rotate_axis", &axis, &angle)) {
		PyErr_SetString(PyExc_TypeError,
		                "Euler.rotate_axis(): "
		                "expected an axis 'X', 'Y', 'Z' and an angle (float)");
		return NULL;
	}

	if (!(ELEM(axis, 'X', 'Y', 'Z'))) {
		PyErr_SetString(PyExc_ValueError,
		                "Euler.rotate_axis(): "
		                "expected axis to be 'X', 'Y' or 'Z'");
		return NULL;
	}

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


	rotate_eulO(self->eul, self->order, (char)axis, angle);

	(void)BaseMath_WriteCallback(self);

	Py_RETURN_NONE;
}

PyDoc_STRVAR(Euler_rotate_doc,
".. method:: rotate(other)\n"
"\n"
"   Rotates the euler a by another mathutils value.\n"
"\n"
"   :arg other: rotation component of mathutils value\n"
"   :type other: :class:`Euler`, :class:`Quaternion` or :class:`Matrix`\n"
);
static PyObject *Euler_rotate(EulerObject *self, PyObject *value)
{
	float self_rmat[3][3], other_rmat[3][3], rmat[3][3];

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

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

	eulO_to_mat3(self_rmat, self->eul, self->order);
	mul_m3_m3m3(rmat, other_rmat, self_rmat);

	mat3_to_compatible_eulO(self->eul, self->eul, self->order, rmat);

	(void)BaseMath_WriteCallback(self);
	Py_RETURN_NONE;
}

PyDoc_STRVAR(Euler_make_compatible_doc,
".. method:: make_compatible(other)\n"
"\n"
"   Make this euler compatible with another,\n"
"   so interpolating between them works as intended.\n"
"\n"
"   .. note:: the rotation order is not taken into account for this function.\n"
);
static PyObject *Euler_make_compatible(EulerObject *self, PyObject *value)
{
	float teul[EULER_SIZE];

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

	if (mathutils_array_parse(teul, EULER_SIZE, EULER_SIZE, value,
	                          "euler.make_compatible(other), invalid 'other' arg") == -1)
	{
		return NULL;
	}

	compatible_eul(self->eul, teul);

	(void)BaseMath_WriteCallback(self);

	Py_RETURN_NONE;
}

/* ----------------------------Euler.rotate()-----------------------
 * return a copy of the euler */

PyDoc_STRVAR(Euler_copy_doc,
".. function:: copy()\n"
"\n"
"   Returns a copy of this euler.\n"
"\n"
"   :return: A copy of the euler.\n"
"   :rtype: :class:`Euler`\n"
"\n"
"   .. note:: use this to get a copy of a wrapped euler with\n"
"      no reference to the original data.\n"
);
static PyObject *Euler_copy(EulerObject *self)
{
	if (BaseMath_ReadCallback(self) == -1)
		return NULL;

	return Euler_CreatePyObject(self->eul, self->order, Py_NEW, Py_TYPE(self));
}
static PyObject *Euler_deepcopy(EulerObject *self, PyObject *args)
{
	if (!mathutils_deepcopy_args_check(args))
		return NULL;
	return Euler_copy(self);
}

/* ----------------------------print object (internal)--------------
 * print the object to screen */

static PyObject *Euler_repr(EulerObject *self)
{
	PyObject *ret, *tuple;

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

	tuple = Euler_ToTupleExt(self, -1);

	ret = PyUnicode_FromFormat("Euler(%R, '%s')", tuple, euler_order_str(self));

	Py_DECREF(tuple);
	return ret;
}

#ifndef MATH_STANDALONE
static PyObject *Euler_str(EulerObject *self)
{
	DynStr *ds;

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

	ds = BLI_dynstr_new();

	BLI_dynstr_appendf(ds, "<Euler (x=%.4f, y=%.4f, z=%.4f), order='%s'>",
	                   self->eul[0], self->eul[1], self->eul[2], euler_order_str(self));

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

static PyObject *Euler_richcmpr(PyObject *a, PyObject *b, int op)
{
	PyObject *res;
	int ok = -1; /* zero is true */

	if (EulerObject_Check(a) && EulerObject_Check(b)) {
		EulerObject *eulA = (EulerObject *)a;
		EulerObject *eulB = (EulerObject *)b;

		if (BaseMath_ReadCallback(eulA) == -1 || BaseMath_ReadCallback(eulB) == -1)
			return NULL;

		ok = ((eulA->order == eulB->order) && EXPP_VectorsAreEqual(eulA->eul, eulB->eul, EULER_SIZE, 1)) ? 0 : -1;
	}

	switch (op) {
		case Py_NE:
			ok = !ok;
			/* fall-through */
		case Py_EQ:
			res = ok ? Py_False : Py_True;
			break;

		case Py_LT:
		case Py_LE:
		case Py_GT:
		case Py_GE:
			res = Py_NotImplemented;
			break;
		default:
			PyErr_BadArgument();
			return NULL;
	}

	return Py_INCREF(res), res;
}

/* ---------------------SEQUENCE PROTOCOLS------------------------ */
/* ----------------------------len(object)------------------------ */
/* sequence length */
static int Euler_len(EulerObject *UNUSED(self))
{
	return EULER_SIZE;
}
/* ----------------------------object[]--------------------------- */
/* sequence accessor (get) */
static PyObject *Euler_item(EulerObject *self, int i)
{
	if (i < 0) i = EULER_SIZE - i;

	if (i < 0 || i >= EULER_SIZE) {
		PyErr_SetString(PyExc_IndexError,
		                "euler[attribute]: "
		                "array index out of range");
		return NULL;
	}

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

	return PyFloat_FromDouble(self->eul[i]);

}
/* ----------------------------object[]------------------------- */
/* sequence accessor (set) */
static int Euler_ass_item(EulerObject *self, int i, PyObject *value)
{
	float f = PyFloat_AsDouble(value);

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

	if (i < 0) i = EULER_SIZE - i;

	if (i < 0 || i >= EULER_SIZE) {
		PyErr_SetString(PyExc_IndexError,
		                "euler[attribute] = x: "
		                "array assignment index out of range");
		return -1;
	}

	self->eul[i] = f;

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

	return 0;
}
/* ----------------------------object[z:y]------------------------ */
/* sequence slice (get) */
static PyObject *Euler_slice(EulerObject *self, int begin, int end)
{
	PyObject *tuple;
	int count;

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

	CLAMP(begin, 0, EULER_SIZE);
	if (end < 0) end = (EULER_SIZE + 1) + end;
	CLAMP(end, 0, EULER_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->eul[count]));
	}

	return tuple;
}
/* ----------------------------object[z:y]------------------------ */
/* sequence slice (set) */
static int Euler_ass_slice(EulerObject *self, int begin, int end, PyObject *seq)
{
	int i, size;
	float eul[EULER_SIZE];

	if (BaseMath_ReadCallback(self) == -1)
		return -1;

	CLAMP(begin, 0, EULER_SIZE);
	if (end < 0) end = (EULER_SIZE + 1) + end;
	CLAMP(end, 0, EULER_SIZE);
	begin = MIN2(begin, end);

	if ((size = mathutils_array_parse(eul, 0, EULER_SIZE, seq, "mathutils.Euler[begin:end] = []")) == -1)
		return -1;

	if (size != (end - begin)) {
		PyErr_SetString(PyExc_ValueError,
		                "euler[begin:end] = []: "
		                "size mismatch in slice assignment");
		return -1;
	}

	for (i = 0; i < EULER_SIZE; i++)
		self->eul[begin + i] = eul[i];

	(void)BaseMath_WriteCallback(self);
	return 0;
}

static PyObject *Euler_subscript(EulerObject *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 += EULER_SIZE;
		return Euler_item(self, i);
	}
	else if (PySlice_Check(item)) {
		Py_ssize_t start, stop, step, slicelength;

		if (PySlice_GetIndicesEx(item, EULER_SIZE, &start, &stop, &step, &slicelength) < 0)
			return NULL;

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


static int Euler_ass_subscript(EulerObject *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 += EULER_SIZE;
		return Euler_ass_item(self, i, value);
	}
	else if (PySlice_Check(item)) {
		Py_ssize_t start, stop, step, slicelength;

		if (PySlice_GetIndicesEx(item, EULER_SIZE, &start, &stop, &step, &slicelength) < 0)
			return -1;

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

/* -----------------PROTCOL DECLARATIONS-------------------------- */
static PySequenceMethods Euler_SeqMethods = {
	(lenfunc) Euler_len,                    /* sq_length */
	(binaryfunc) NULL,                      /* sq_concat */
	(ssizeargfunc) NULL,                    /* sq_repeat */
	(ssizeargfunc) Euler_item,              /* sq_item */
	(ssizessizeargfunc) NULL,               /* sq_slice, deprecated  */
	(ssizeobjargproc) Euler_ass_item,       /* sq_ass_item */
	(ssizessizeobjargproc) NULL,            /* sq_ass_slice, deprecated */
	(objobjproc) NULL,                      /* sq_contains */
	(binaryfunc) NULL,                      /* sq_inplace_concat */
	(ssizeargfunc) NULL,                    /* sq_inplace_repeat */
};

static PyMappingMethods Euler_AsMapping = {
	(lenfunc)Euler_len,
	(binaryfunc)Euler_subscript,
	(objobjargproc)Euler_ass_subscript
};

/* euler axis, euler.x/y/z */

PyDoc_STRVAR(Euler_axis_doc,
"Euler axis angle in radians.\n\n:type: float"
);
static PyObject *Euler_axis_get(EulerObject *self, void *type)
{
	return Euler_item(self, GET_INT_FROM_POINTER(type));
}

static int Euler_axis_set(EulerObject *self, PyObject *value, void *type)
{
	return Euler_ass_item(self, GET_INT_FROM_POINTER(type), value);
}

/* rotation order */

PyDoc_STRVAR(Euler_order_doc,
"Euler rotation order.\n\n:type: string in ['XYZ', 'XZY', 'YXZ', 'YZX', 'ZXY', 'ZYX']"
);
static PyObject *Euler_order_get(EulerObject *self, void *UNUSED(closure))
{
	if (BaseMath_ReadCallback(self) == -1) /* can read order too */
		return NULL;

	return PyUnicode_FromString(euler_order_str(self));
}

static int Euler_order_set(EulerObject *self, PyObject *value, void *UNUSED(closure))
{
	const char *order_str = _PyUnicode_AsString(value);
	short order = euler_order_from_string(order_str, "euler.order");

	if (order == -1)
		return -1;

	self->order = order;
	(void)BaseMath_WriteCallback(self); /* order can be written back */
	return 0;
}

/*****************************************************************************/
/* Python attributes get/set structure:                                      */
/*****************************************************************************/
static PyGetSetDef Euler_getseters[] = {
	{(char *)"x", (getter)Euler_axis_get, (setter)Euler_axis_set, Euler_axis_doc, (void *)0},
	{(char *)"y", (getter)Euler_axis_get, (setter)Euler_axis_set, Euler_axis_doc, (void *)1},
	{(char *)"z", (getter)Euler_axis_get, (setter)Euler_axis_set, Euler_axis_doc, (void *)2},
	{(char *)"order", (getter)Euler_order_get, (setter)Euler_order_set, Euler_order_doc, (void *)NULL},

	{(char *)"is_wrapped", (getter)BaseMathObject_is_wrapped_get, (setter)NULL, BaseMathObject_is_wrapped_doc, NULL},
	{(char *)"owner", (getter)BaseMathObject_owner_get, (setter)NULL, BaseMathObject_owner_doc, NULL},
	{NULL, NULL, NULL, NULL, NULL}  /* Sentinel */
};


/* -----------------------METHOD DEFINITIONS ---------------------- */
static struct PyMethodDef Euler_methods[] = {
	{"zero", (PyCFunction) Euler_zero, METH_NOARGS, Euler_zero_doc},
	{"to_matrix", (PyCFunction) Euler_to_matrix, METH_NOARGS, Euler_to_matrix_doc},
	{"to_quaternion", (PyCFunction) Euler_to_quaternion, METH_NOARGS, Euler_to_quaternion_doc},
	{"rotate_axis", (PyCFunction) Euler_rotate_axis, METH_VARARGS, Euler_rotate_axis_doc},
	{"rotate", (PyCFunction) Euler_rotate, METH_O, Euler_rotate_doc},
	{"make_compatible", (PyCFunction) Euler_make_compatible, METH_O, Euler_make_compatible_doc},
	{"copy", (PyCFunction) Euler_copy, METH_NOARGS, Euler_copy_doc},
	{"__copy__", (PyCFunction) Euler_copy, METH_NOARGS, Euler_copy_doc},
	{"__deepcopy__", (PyCFunction) Euler_deepcopy, METH_VARARGS, Euler_copy_doc},
	{NULL, NULL, 0, NULL}
};

/* ------------------PY_OBECT DEFINITION-------------------------- */
PyDoc_STRVAR(euler_doc,
"This object gives access to Eulers in Blender."
);
PyTypeObject euler_Type = {
	PyVarObject_HEAD_INIT(NULL, 0)
	"Euler",                        /* tp_name */
	sizeof(EulerObject),            /* tp_basicsize */
	0,                              /* tp_itemsize */
	(destructor)BaseMathObject_dealloc,     /* tp_dealloc */
	NULL,                           /* tp_print */
	NULL,                           /* tp_getattr */
	NULL,                           /* tp_setattr */
	NULL,                           /* tp_compare */
	(reprfunc) Euler_repr,          /* tp_repr */
	NULL,                           /* tp_as_number */
	&Euler_SeqMethods,              /* tp_as_sequence */
	&Euler_AsMapping,               /* tp_as_mapping */
	NULL,                           /* tp_hash */
	NULL,                           /* tp_call */
#ifndef MATH_STANDALONE
	(reprfunc) Euler_str,           /* tp_str */
#else
	NULL,                           /* tp_str */
#endif
	NULL,                           /* tp_getattro */
	NULL,                           /* tp_setattro */
	NULL,                           /* tp_as_buffer */
	Py_TPFLAGS_DEFAULT | Py_TPFLAGS_BASETYPE | Py_TPFLAGS_HAVE_GC, /* tp_flags */
	euler_doc, /* tp_doc */
	(traverseproc)BaseMathObject_traverse,  /* tp_traverse */
	(inquiry)BaseMathObject_clear,  /* tp_clear */
	(richcmpfunc)Euler_richcmpr,    /* tp_richcompare */
	0,                              /* tp_weaklistoffset */
	NULL,                           /* tp_iter */
	NULL,                           /* tp_iternext */
	Euler_methods,                  /* tp_methods */
	NULL,                           /* tp_members */
	Euler_getseters,                /* tp_getset */
	NULL,                           /* tp_base */
	NULL,                           /* tp_dict */
	NULL,                           /* tp_descr_get */
	NULL,                           /* tp_descr_set */
	0,                              /* tp_dictoffset */
	NULL,                           /* tp_init */
	NULL,                           /* tp_alloc */
	Euler_new,                      /* tp_new */
	NULL,                           /* tp_free */
	NULL,                           /* tp_is_gc */
	NULL,                           /* tp_bases */
	NULL,                           /* tp_mro */
	NULL,                           /* tp_cache */
	NULL,                           /* tp_subclasses */
	NULL,                           /* tp_weaklist */
	NULL                            /* tp_del */
};
/* ------------------------Euler_CreatePyObject (internal)------------- */
/* creates a new euler object */
/* pass Py_WRAP - if vector is a WRAPPER for data allocated by BLENDER
 * (i.e. it was allocated elsewhere by MEM_mallocN())
 * pass Py_NEW - if vector is not a WRAPPER and managed by PYTHON
 * (i.e. it must be created here with PyMEM_malloc())*/
PyObject *Euler_CreatePyObject(float eul[3], const short order, int type, PyTypeObject *base_type)
{
	EulerObject *self;

	self = base_type ?  (EulerObject *)base_type->tp_alloc(base_type, 0) :
	                    (EulerObject *)PyObject_GC_New(EulerObject, &euler_Type);

	if (self) {
		/* init callbacks as NULL */
		self->cb_user = NULL;
		self->cb_type = self->cb_subtype = 0;

		if (type == Py_WRAP) {
			self->eul = eul;
			self->wrapped = Py_WRAP;
		}
		else if (type == Py_NEW) {
			self->eul = PyMem_Malloc(EULER_SIZE * sizeof(float));
			if (eul) {
				copy_v3_v3(self->eul, eul);
			}
			else {
				zero_v3(self->eul);
			}

			self->wrapped = Py_NEW;
		}
		else {
			Py_FatalError("Euler(): invalid type!");
		}

		self->order = order;
	}

	return (PyObject *)self;
}

PyObject *Euler_CreatePyObject_cb(PyObject *cb_user, const short order,
                                  unsigned char cb_type, unsigned char cb_subtype)
{
	EulerObject *self = (EulerObject *)Euler_CreatePyObject(NULL, order, Py_NEW, 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;
}