LMatrix3f

from acron.core import LMatrix3f
class LMatrix3f

Bases:

This is a 3-by-3 transform matrix. It typically will represent either a rotation-and-scale (no translation) matrix in 3-d, or a full affine matrix (rotation, scale, translation) in 2-d, e.g. for a texture matrix.

Inheritance diagram

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class CRow

Bases:

__getitem__()
__init__()

Defines a row-level constant accessor to the matrix.

static size()

Returns 3: the number of columns of a LMatrix3.

class Row

Bases:

These helper classes are used to support two-level operator [].

__getitem__()
__init__()

Defines a row-level index accessor to the matrix.

static size()

Returns 3: the number of columns of a LMatrix3.

__call__()
__div__()
__eq__()
__getitem__()
__iadd__()

Performs a memberwise addition between two matrices.

__idiv__()

Performs a memberwise scale.

__imul__()

Performs a memberwise scale.

__init__()

Constructs the matrix from three individual rows.

__isub__()

Performs a memberwise subtraction between two matrices.

__lt__()
__mul__()
__ne__()
__reduce__()
__repr__()
__rmul__()
add_hash()

Adds the vector into the running hash.

Adds the vector into the running hash.

almost_equal()

Returns true if two matrices are memberwise equal within a default tolerance based on the numeric type.

Returns true if two matrices are memberwise equal within a specified tolerance.

assign()
property cols → Sequence[LVecBase3f]
Getter

Returns the indicated column of the matrix as a three-component vector.

Setter

Replaces the indicated column of the matrix from a three-component vector.

Replaces the indicated column of the matrix from a two-component vector, ignoring the last row.

compare_to()

This flavor of compare_to uses a default threshold value based on the numeric type.

Sorts matrices lexicographically, componentwise. Returns a number less than 0 if this matrix sorts before the other one, greater than zero if it sorts after, 0 if they are equivalent (within the indicated tolerance).

componentwise_mult()
static convert_mat()

Returns a matrix that transforms from the indicated coordinate system to the indicated coordinate system.

determinant()

Returns the determinant of the matrix.

fill()

Sets each element of the matrix to the indicated fill_value. This is of questionable value, but is sometimes useful when initializing to zero.

generate_hash()

Adds the vector to the indicated hash generator.

Adds the vector to the indicated hash generator.

get_cell()

Returns a particular element of the matrix.

static get_class_type()
get_col()

Returns the indicated column of the matrix as a three-component vector.

get_col2()

Returns the indicated column of the matrix as a two-component vector, ignoring the last row.

get_col2s() → list
get_cols() → list
static get_data()

Returns the address of the first of the nine data elements in the matrix. The remaining elements occupy the next eight positions in row-major order.

get_hash()

Returns a suitable hash for phash_map.

Returns a suitable hash for phash_map.

get_num_components()

Returns the number of elements in the matrix, nine.

get_row()

these versions inline better

Returns the indicated row of the matrix as a three-component vector.

Stores the indicated row of the matrix as a three-component vector.

get_row2()

Returns the indicated row of the matrix as a two-component vector, ignoring the last column.

get_row2s() → list
get_rows() → list
static ident_mat()

Returns an identity matrix.

This function definition must appear first, since some inline functions below take advantage of it.

invert_from()

Computes the inverse of the other matrix, and stores the result in this matrix. This is a fully general operation and makes no assumptions about the type of transform represented by the matrix.

The other matrix must be a different object than this matrix. However, if you need to invert a matrix in place, see invert_in_place().

The return value is true if the matrix was successfully inverted, false if there was a singularity.

invert_in_place()

Inverts the current matrix. Returns true if the inverse is successful, false if the matrix was singular.

invert_transpose_from()

Simultaneously computes the inverse of the indicated matrix, and then the transpose of that inverse.

Simultaneously computes the inverse of the indicated matrix, and then the transpose of that inverse.

is_identity()

Returns true if this is (close enough to) the identity matrix, false otherwise.

is_nan()

Returns true if any component of the matrix is not-a-number, false otherwise.

multiply()

this = other1 * other2

this = other1 * other2

static operator_delete()
static operator_delete()
static operator_new()
static operator_new()
output()
read_datagram()

Reads the matrix from the Datagram using get_stdfloat().

read_datagram_fixed()

Reads the matrix from the Datagram using get_float32() or get_float64(). See write_datagram_fixed().

static rotate_mat()

Returns a matrix that rotates by the given angle in degrees counterclockwise.

Returns a matrix that rotates by the given angle in degrees counterclockwise about the indicated vector.

static rotate_mat_normaxis()

Returns a matrix that rotates by the given angle in degrees counterclockwise about the indicated vector. Assumes axis has been normalized.

property rows → Sequence[LVecBase3f]
Getter

these versions inline better

Returns the indicated row of the matrix as a three-component vector.

Stores the indicated row of the matrix as a three-component vector.

Setter

Replaces the indicated row of the matrix from a three-component vector.

Replaces the indicated row of the matrix from a two-component vector, ignoring the last column.

static scale_mat()

Returns a matrix that applies the indicated scale in each of the two axes.

Returns a matrix that applies the indicated scale in each of the two axes.

Returns a matrix that applies the indicated scale in each of the three axes.

Returns a matrix that applies the indicated scale in each of the three axes.

static scale_shear_mat()

Returns a matrix that applies the indicated scale and shear.

Returns a matrix that applies the indicated scale and shear.

set()
set_cell()

Changes a particular element of the matrix.

set_col()

Replaces the indicated column of the matrix from a three-component vector.

Replaces the indicated column of the matrix from a two-component vector, ignoring the last row.

set_rotate_mat()

Fills mat with a matrix that rotates by the given angle in degrees counterclockwise.

Fills mat with a matrix that rotates by the given angle in degrees counterclockwise about the indicated vector.

set_rotate_mat_normaxis()

Fills mat with a matrix that rotates by the given angle in degrees counterclockwise about the indicated vector. Assumes axis has been normalized.

set_row()

Replaces the indicated row of the matrix from a three-component vector.

Replaces the indicated row of the matrix from a two-component vector, ignoring the last column.

set_scale_mat()

Fills mat with a matrix that applies the indicated scale in each of the two axes.

Fills mat with a matrix that applies the indicated scale in each of the three axes.

set_scale_shear_mat()

Fills mat with a matrix that applies the indicated scale and shear.

set_shear_mat()

Fills mat with a matrix that applies the indicated shear in each of the three planes.

set_translate_mat()

Fills mat with a matrix that applies the indicated translation.

static shear_mat()

Returns a matrix that applies the indicated shear in each of the three planes.

Returns a matrix that applies the indicated shear in each of the three planes.

static size()

Returns 3: the number of rows of a LMatrix3.

static translate_mat()

Returns a matrix that applies the indicated translation.

Returns a matrix that applies the indicated translation.

transpose_from()
transpose_in_place()
static validate_ptr()
write()
write_datagram()

Writes the matrix to the Datagram using add_stdfloat(). This is appropriate when you want to write the matrix using the standard width setting, especially when you are writing a bam file.

write_datagram_fixed()

Writes the matrix to the Datagram using add_float32() or add_float64(), depending on the type of floats in the matrix, regardless of the setting of Datagram.set_stdfloat_double(). This is appropriate when you want to write a fixed-width value to the datagram, especially when you are not writing a bam file.

xform()

3-component vector or point times matrix.

xform_in_place()

3-component vector or point times matrix.

xform_point()

The matrix transforms a 2-component point (including translation component) and returns the result. This assumes the matrix is an affine transform.

xform_point_in_place()

The matrix transforms a 2-component point (including translation component). This assumes the matrix is an affine transform.

xform_vec()

The matrix transforms a 2-component vector (without translation component) and returns the result. This assumes the matrix is an affine transform.

The matrix transforms a 3-component vector and returns the result. This assumes the matrix is an orthonormal transform.

In practice, this is the same computation as xform().

xform_vec_general()

The matrix transforms a 3-component vector (without translation component) and returns the result, as a fully general operation.

xform_vec_general_in_place()

The matrix transforms a 3-component vector (without translation component), as a fully general operation.

xform_vec_in_place()

The matrix transforms a 2-component vector (without translation component). This assumes the matrix is an affine transform.

The matrix transforms a 3-component vector. This assumes the matrix is an orthonormal transform.

In practice, this is the same computation as xform().