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2026-05-31 10:17:09 +07:00

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Python

# IfcOpenShell - IFC toolkit and geometry engine
# Copyright (C) 2021 Dion Moult <dion@thinkmoult.com>
#
# This file is part of IfcOpenShell.
#
# IfcOpenShell is free software: you can redistribute it and/or modify
# it under the terms of the GNU Lesser General Public License as published by
# the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# IfcOpenShell 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 Lesser General Public License for more details.
#
# You should have received a copy of the GNU Lesser General Public License
# along with IfcOpenShell. If not, see <http://www.gnu.org/licenses/>.
import math
from decimal import ROUND_HALF_UP, Decimal
from typing import Any, NamedTuple, Optional, Union
import numpy as np
import ifcopenshell
import ifcopenshell.util.element
import ifcopenshell.util.placement
MatrixType = ifcopenshell.util.placement.MatrixType
class HelmertTransformation(NamedTuple):
e: float
n: float
h: float
xaa: float
xao: float
scale: float
factor_x: float
factor_y: float
factor_z: float
def dms2dd(degrees: int, minutes: int, seconds: int, us: int = 0) -> float:
"""Convert degrees, minutes, and (micro)seconds to decimal degrees
All components must be either positive or negative.
:param degrees: The degrees component
:param minutes: The minutes component
:param seconds: The seconds component
:param us: The microseconds component
:return: The angle in decimal degrees.
"""
all_positive_or_zero = degrees >= 0 and minutes >= 0 and seconds >= 0 and us >= 0
all_negative_or_zero = degrees <= 0 and minutes <= 0 and seconds <= 0 and us <= 0
assert all_positive_or_zero or all_negative_or_zero
return degrees + minutes / 60.0 + seconds / 3600.0 + us / 3600000000.0
def dd2dms(dd: float, use_us: bool = False) -> Union[tuple[int, int, int, int], tuple[int, int, float]]:
"""Convert decimal degrees to degrees, minutes, and (micro)seconds format
:param dd: The decimal degrees
:param use_us: True if to include microseconds and false otherwise. Defaults to false.
:return: The angle in a tuple of either 3 or 4 values,
4 values: integer number of degrees, integer number of minutes, integer number of seconds and integer number of microseconds
3 values: integer number of degrees, integer number of minutes, and a float number for seconds
:note: the tuple follows the format of IfcCompoundPlaneAngleMeasure. Namely all of its components are either positive or negative.
"""
dd_decimal = Decimal(str(dd))
degrees = int(dd_decimal)
degrees_decimal = Decimal(degrees)
fractional_part = dd_decimal - degrees_decimal
minutes_decimal = fractional_part * Decimal(60)
minutes = int(minutes_decimal)
minutes_decimal_int = Decimal(minutes)
seconds_decimal = (minutes_decimal - minutes_decimal_int) * Decimal(60)
if use_us:
seconds = int(seconds_decimal)
seconds_decimal_int = Decimal(seconds)
microseconds_decimal = (seconds_decimal - seconds_decimal_int) * Decimal(1000000)
microseconds = int(microseconds_decimal.quantize(Decimal(1), rounding=ROUND_HALF_UP))
return (degrees, minutes, seconds, microseconds)
else:
seconds_float = float(seconds_decimal)
return (degrees, minutes, seconds_float)
def xyz2enh(
x: float,
y: float,
z: float,
eastings: float = 0.0,
northings: float = 0.0,
orthogonal_height: float = 0.0,
x_axis_abscissa: float = 1.0,
x_axis_ordinate: float = 0.0,
scale: float = 1.0,
factor_x: float = 1.0,
factor_y: float = 1.0,
factor_z: float = 1.0,
) -> tuple[float, float, float]:
"""Manually convert local XYZ coordinates to map eastings, northings, and height
This function is for advanced users as it allows you to specify your own
helmert transformation parameters (i.e. those typically stored in
IfcMapConversion). This manual approach is useful for tests or in case your
are setting your helmert transformations in non-standard locations, or if
you are applying your own temporary false origin (such as when federating
models for digital twins of large cities).
For most scenarios you should use :func:`auto_xyz2enh` instead.
:param x: The X local engineering coordinate.
:param y: The Y local engineering coordinate.
:param z: The Z local engineering coordinate.
:param eastings: The eastings offset to apply.
:param northings: The northings offset to apply.
:param orthogonal_height: The orthogonal height offset to apply.
:param x_axis_abscissa: The X axis abscissa (i.e. first coordinate) of the
2D vector that points to the local X axis when in map coordinates.
:param x_axis_ordinate: The X axis ordinate (i.e. second coordinate) of the
2D vector that points to the local X axis when in map coordinates.
:param scale: The unit scale such that local ordinate * scale = map
ordinate. E.g. if your project is in millimeters but your CRS is in
meters, your scale should be 0.001.
:param factor_x: The combined scale factor for the X value to convert from
local coordinates to map coordinates. Your surveyor will typically know
this number and approximate it as a constant on a small site. Typically
factor_x and factor_y will be identical, and factor_z will be 1.
:param factor_y: Same but for the Y value.
:param factor_z: Same but for the Z value.
:return: A tuple of three ordinates representing the easting, northing and height.
"""
theta = math.atan2(x_axis_ordinate, x_axis_abscissa)
eastings = (scale * factor_x * math.cos(theta) * x) - (scale * factor_y * math.sin(theta) * y) + eastings
northings = (scale * factor_x * math.sin(theta) * x) + (scale * factor_y * math.cos(theta) * y) + northings
height = (scale * factor_z * z) + orthogonal_height
return (eastings, northings, height)
def auto_xyz2enh(
ifc_file: ifcopenshell.file, x: float, y: float, z: float, should_return_in_map_units: bool = True
) -> tuple[float, float, float]:
"""Convert from local XYZ coordinates to global map coordinate eastings, northings, and heights
The necessary georeferencing map conversion is automatically detected from
the IFC map conversion parameters present in the IFC model. If no map
conversion is present, then the coordinates are returned unchanged.
For IFC2X3, the map conversion is detected from the IfcProject's
ePSet_MapConversion. See the "User Guide for Geo-referencing in IFC":
https://www.buildingsmart.org/standards/bsi-standards/standards-library/
:param ifc_file: The IFC file
:param x: The X local engineering coordinate provided in project length units.
:param y: The Y local engineering coordinate provided in project length units.
:param z: The Z local engineering coordinate provided in project length units.
:param should_return_in_map_units: If true, the result is given in map units.
If false, the result will be converted back into project units.
:return: The global map coordinate eastings, northings, and height.
"""
parameters = get_helmert_transformation_parameters(ifc_file)
if not parameters:
return x, y, z
wcs = get_wcs(ifc_file)
if wcs is not None:
x, y, z = (np.linalg.inv(wcs) @ np.array((x, y, z, 1)))[:3]
enh = xyz2enh(x, y, z, *parameters)
if should_return_in_map_units:
return enh
return enh[0] / parameters.scale, enh[1] / parameters.scale, enh[2] / parameters.scale
def auto_enh2xyz(
ifc_file: ifcopenshell.file, easting: float, northing: float, height: float, is_specified_in_map_units: bool = True
) -> tuple[float, float, float]:
"""Convert from global map coordinate eastings, northings, and heights to local XYZ coordinates
The necessary georeferencing map conversion is automatically detected from
the IFC map conversion parameters present in the IFC model. If no map
conversion is present, then the Z coordinate is returned unchanged.
For IFC2X3, the map conversion is detected from the IfcProject's
ePSet_MapConversion. See the "User Guide for Geo-referencing in IFC":
https://www.buildingsmart.org/standards/bsi-standards/standards-library/
:param ifc_file: The IFC file
:param easting: The global easting map coordinate provided in map units.
:param northing: The global northing map coordinate provided in map units.
:param height: The global height map coordinate provided in map units.
:param is_specified_in_map_units: True if the input eastings, northing, and height are in map units.
:return: The local engineering XYZ coordinates in project length units.
"""
parameters = get_helmert_transformation_parameters(ifc_file)
if not parameters:
return easting, northing, height
if not is_specified_in_map_units:
easting *= parameters.scale
northing *= parameters.scale
height *= parameters.scale
xyz = enh2xyz(easting, northing, height, *parameters)
wcs = get_wcs(ifc_file)
if wcs is not None:
xyz = tuple((wcs @ np.array((*xyz, 1)))[:3])
return xyz
def get_helmert_transformation_parameters(ifc_file: ifcopenshell.file) -> Optional[HelmertTransformation]:
"""Retrieves the parameters of a helmert transformation that represents a
coordinate operation
This coordinate operation is typically what is used to convert between
local engineering coordinates and map coordinates.
:param ifc_file: The IFC model, typically containing an
IfcCoordinateOperation such as an IfcMapConversion.
:return: The parameters of the transformation.
"""
if ifc_file.schema == "IFC2X3":
project = ifc_file.by_type("IfcProject")[0]
conversion = ifcopenshell.util.element.get_pset(project, "ePSet_MapConversion")
if not conversion:
return
e = conversion.get("Eastings", None) or 0
n = conversion.get("Northings", None) or 0
h = conversion.get("OrthogonalHeight", None) or 0
xaa = conversion.get("XAxisAbscissa", None) or 0
xao = conversion.get("XAxisOrdinate", None) or 0
scale = conversion.get("Scale", None) or 1
factor_x = factor_y = factor_z = 1
else:
conversion = ifc_file.by_type("IfcCoordinateOperation")
if not conversion:
return
conversion = conversion[0]
if conversion.is_a("IfcMapConversion"):
e = conversion.Eastings or 0
n = conversion.Northings or 0
h = conversion.OrthogonalHeight or 0
xaa = conversion.XAxisAbscissa or 0
xao = conversion.XAxisOrdinate or 0
scale = conversion.Scale or 1
if conversion.is_a() == "IfcMapConversionScaled":
factor_x = conversion.FactorX
factor_y = conversion.FactorY
factor_z = conversion.FactorZ
else:
factor_x = factor_y = factor_z = 1
elif conversion.is_a() == "IfcRigidOperation":
e = conversion.FirstCoordinate.wrappedValue
n = conversion.SecondCoordinate.wrappedValue
h = conversion.Height or 0
xaa = 1.0
xao = 0.0
scale = factor_x = factor_y = factor_z = 1
if not xaa and not xao:
xaa = 1.0
xao = 0.0
return HelmertTransformation(e, n, h, xaa, xao, scale, factor_x, factor_y, factor_z)
def get_crs(ifc_file: ifcopenshell.file) -> dict[str, Any]:
"""Get CRS information from an IFC file."""
if ifc_file.schema == "IFC2X3":
return ifcopenshell.util.element.get_pset(ifc_file.by_type("IfcProject")[0], "ePSet_ProjectedCRS")
for context in ifc_file.by_type("IfcGeometricRepresentationContext", include_subtypes=False):
if operation := context.HasCoordinateOperation:
return operation[0].TargetCRS.get_info()
def auto_z2e(ifc_file: ifcopenshell.file, z: float, should_return_in_map_units: bool = True) -> float:
"""Convert a Z coordinate to an elevation using model georeferencing data
The necessary georeferencing map conversion is automatically detected from
the IFC map conversion parameters present in the IFC model. If no map
conversion is present, then the Z coordinate is returned unchanged.
For IFC2X3, the map conversion is detected from the IfcProject's
ePSet_MapConversion. See the "User Guide for Geo-referencing in IFC":
https://www.buildingsmart.org/standards/bsi-standards/standards-library/
:param ifc_file: The IFC file
:param z: The Z local engineering coordinate provided in project length units.
:return: The elevation in project length units.
"""
parameters = get_helmert_transformation_parameters(ifc_file)
if not parameters:
return z
e = z2e(z, parameters.h, parameters.scale, parameters.factor_z)
if should_return_in_map_units:
return e
return e / parameters.scale
def z2e(z: float, orthogonal_height: float = 0.0, scale: float = 1.0, factor_z: float = 1.0) -> float:
"""Manually convert a Z coordinate to a map elevation
This function is for advanced users as it allows you to specify your own
orthogonal height offset and transformation parameters.
For most scenarios you should use :func:`auto_z2e` instead.
:param z: The Z local engineering coordinate provided in project length units.
:param orthogonal_height: The orthogonal height offset to apply.
:param scale: The unit scale such that local ordinate * scale = map
ordinate. E.g. if your project is in millimeters but your CRS is in
meters, your scale should be 0.001.
:param factor_x: The combined scale factor for the Z value to convert from
local coordinates to map coordinates. Your surveyor will typically know
this number and approximate it as a constant on a small site. This is
typically just 1.0, as average combined scale factors usually only
affect the XY axes.
:return: The elevation in map units.
"""
return (scale * factor_z * z) + orthogonal_height
def enh2xyz(
e: float,
n: float,
h: float,
eastings: float = 0.0,
northings: float = 0.0,
orthogonal_height: float = 0,
x_axis_abscissa: float = 1.0,
x_axis_ordinate: float = 0.0,
scale: float = 1.0,
factor_x: float = 1.0,
factor_y: float = 1.0,
factor_z: float = 1.0,
) -> tuple[float, float, float]:
"""Manually convert map eastings, northings, and height to local XYZ coordinates
This function is for advanced users as it allows you to specify your own
helmert transformation parameters (i.e. those typically stored in
IfcMapConversion). This manual approach is useful for tests or in case your
are setting your helmert transformations in non-standard locations, or if
you are applying your own temporary false origin (such as when federating
models for digital twins of large cities).
For most scenarios you should use :func:`auto_enh2xyz` instead.
:param e: The global easting map coordinate.
:param n: The global northing map coordinate.
:param h: The global height map coordinate.
:param eastings: The eastings offset to apply.
:param northings: The northings offset to apply.
:param orthogonal_height: The orthogonal height offset to apply.
:param x_axis_abscissa: The X axis abscissa (i.e. first coordinate) of the
2D vector that points to the local X axis when in map coordinates.
:param x_axis_ordinate: The X axis ordinate (i.e. second coordinate) of the
2D vector that points to the local X axis when in map coordinates.
:param scale: The unit scale such that local ordinate * scale = map
ordinate. E.g. if your project is in millimeters but your CRS is in
meters, your scale should be 0.001.
:param factor_x: The combined scale factor for the X value to convert from
local coordinates to map coordinates. Your surveyor will typically know
this number and approximate it as a constant on a small site. Typically
factor_x and factor_y will be identical, and factor_z will be 1.
:param factor_y: Same but for the Y value.
:param factor_z: Same but for the Z value.
:return: A tuple of three ordinates representing XYZ.
"""
theta = math.atan2(x_axis_ordinate, x_axis_abscissa)
sint = math.sin(theta)
cost = math.cos(theta)
x = (((e - eastings) * cost) + ((n - northings) * sint)) / (scale * factor_x)
y = (((eastings - e) * sint) + ((n - northings) * cost)) / (scale * factor_y)
z = ((h - orthogonal_height) / scale) / factor_z
return (x, y, z)
def local2global(
matrix: MatrixType,
eastings: float = 0.0,
northings: float = 0.0,
orthogonal_height: float = 0.0,
x_axis_abscissa: float = 1.0,
x_axis_ordinate: float = 0.0,
scale: float = 1.0,
factor_x: float = 1.0,
factor_y: float = 1.0,
factor_z: float = 1.0,
) -> MatrixType:
"""Manually convert a 4x4 matrix from local to global coordinates
This function is for advanced users as it allows you to specify your own
helmert transformation parameters (i.e. those typically stored in
IfcMapConversion). This manual approach is useful for tests or in case your
are setting your helmert transformations in non-standard locations, or if
you are applying your own temporary false origin (such as when federating
models for digital twins of large cities).
For most scenarios you should use :func:`auto_local2global` instead.
:param matrix: A 4x4 numpy matrix representing local coordinates.
:param eastings: The eastings offset to apply.
:param northings: The northings offset to apply.
:param orthogonal_height: The orthogonal height offset to apply.
:param x_axis_abscissa: The X axis abscissa (i.e. first coordinate) of the
2D vector that points to the local X axis when in map coordinates.
:param x_axis_ordinate: The X axis ordinate (i.e. second coordinate) of the
2D vector that points to the local X axis when in map coordinates.
:param scale: The combined scale factor to convert from local coordinates
to map coordinates.
:return: A numpy 4x4 array matrix representing global coordinates.
"""
theta = math.atan2(x_axis_ordinate, x_axis_abscissa)
scale_and_factor_matrix = np.array(
[
[scale * factor_x, 0, 0, 0],
[0, scale * factor_y, 0, 0],
[0, 0, scale * factor_z, 0],
[0, 0, 0, 1],
]
)
rotation_matrix = np.array(
[
[math.cos(theta), -math.sin(theta), 0, 0],
[math.sin(theta), math.cos(theta), 0, 0],
[0, 0, 1, 0],
[0, 0, 0, 1],
]
)
result = rotation_matrix @ scale_and_factor_matrix @ matrix
result[:3, 0] /= np.linalg.norm(result[:3, 0])
result[:3, 1] /= np.linalg.norm(result[:3, 1])
result[:3, 2] /= np.linalg.norm(result[:3, 2])
result[0, 3] += eastings
result[1, 3] += northings
result[2, 3] += orthogonal_height
return result
def auto_local2global(
ifc_file: ifcopenshell.file, matrix: MatrixType, should_return_in_map_units: bool = True
) -> MatrixType:
"""Convert a local matrix to a global map matrix
The necessary georeferencing map conversion is automatically detected from
the IFC map conversion parameters present in the IFC model. If no map
conversion is present, then the matrix is returned unchanged.
:param ifc_file: The IFC file
:param matrix: A 4x4 numpy matrix representing local coordinates.
:param should_return_in_map_units: If true, the result is given in map units.
If false, the result will be converted back into project units.
:return: A numpy 4x4 array matrix representing global coordinates.
"""
parameters = get_helmert_transformation_parameters(ifc_file)
if not parameters:
return matrix.copy()
wcs = get_wcs(ifc_file)
if wcs is not None:
matrix = np.linalg.inv(wcs) @ matrix
result = local2global(matrix, *parameters)
if should_return_in_map_units:
return result
result[:3, 3] /= parameters.scale
return result
def global2local(
matrix: MatrixType,
eastings: float = 0.0,
northings: float = 0.0,
orthogonal_height: float = 0.0,
x_axis_abscissa: float = 1.0,
x_axis_ordinate: float = 0.0,
scale: float = 1.0,
factor_x: float = 1.0,
factor_y: float = 1.0,
factor_z: float = 1.0,
) -> MatrixType:
"""Manually convert a 4x4 matrix from global to local coordinates
This function is for advanced users as it allows you to specify your own
helmert transformation parameters (i.e. those typically stored in
IfcMapConversion). This manual approach is useful for tests or in case your
are setting your helmert transformations in non-standard locations, or if
you are applying your own temporary false origin (such as when federating
models for digital twins of large cities).
:param matrix: A 4x4 numpy matrix representing global coordinates.
:param eastings: The eastings offset to apply.
:param northings: The northings offset to apply.
:param orthogonal_height: The orthogonal height offset to apply.
:param x_axis_abscissa: The X axis abscissa (i.e. first coordinate) of the
2D vector that points to the local X axis when in map coordinates.
:param x_axis_ordinate: The X axis ordinate (i.e. second coordinate) of the
2D vector that points to the local X axis when in map coordinates.
:param scale: The combined scale factor to convert from local coordinates
to map coordinates.
:return: A numpy 4x4 array matrix representing local coordinates.
"""
theta = math.atan2(x_axis_ordinate, x_axis_abscissa)
scale_and_factor_matrix = np.array(
[
[scale * factor_x, 0, 0, 0],
[0, scale * factor_y, 0, 0],
[0, 0, scale * factor_z, 0],
[0, 0, 0, 1],
]
)
rotation_matrix = np.array(
[
[math.cos(theta), -math.sin(theta), 0, 0],
[math.sin(theta), math.cos(theta), 0, 0],
[0, 0, 1, 0],
[0, 0, 0, 1],
]
)
result = matrix.copy()
result[0, 3] -= eastings
result[1, 3] -= northings
result[2, 3] -= orthogonal_height
result = np.linalg.inv(scale_and_factor_matrix) @ np.linalg.inv(rotation_matrix) @ result
result[:3, 0] /= np.linalg.norm(result[:3, 0])
result[:3, 1] /= np.linalg.norm(result[:3, 1])
result[:3, 2] /= np.linalg.norm(result[:3, 2])
return result
def auto_global2local(
ifc_file: ifcopenshell.file, matrix: MatrixType, is_specified_in_map_units: bool = True
) -> MatrixType:
"""Convert a global map matrix to a local matrix
The necessary georeferencing map conversion is automatically detected from
the IFC map conversion parameters present in the IFC model. If no map
conversion is present, then the matrix is returned unchanged.
:param ifc_file: The IFC file
:param matrix: A 4x4 numpy matrix representing local coordinates.
:param should_return_in_map_units: If true, the result is given in map units.
If false, the result will be converted back into project units.
:param is_specified_in_map_units: True if the input matrix is in map units.
:return: A numpy 4x4 array matrix representing global coordinates.
"""
parameters = get_helmert_transformation_parameters(ifc_file)
if not parameters:
return matrix.copy()
if not is_specified_in_map_units:
matrix = matrix.copy()
matrix[:3, 3] *= parameters.scale
result = global2local(matrix, *parameters)
wcs = get_wcs(ifc_file)
if wcs is not None:
return wcs @ result
return result
def xaxis2angle(x: float, y: float) -> float:
"""Converts X axis abscissa and ordinates to an angle in decimal degrees
The X axis abscissa and ordinate is how IFC stores grid north.
This X axis vector indicates "where is project east, if grid north is up
the page?". See the diagram on the IfcGeometricRepresentationContext
documentation for clarification.
The angle indicates "how do I rotate project east to get to grid east?".
Alternatively: "how do I rotate project north to get to grid north?".
Positive angles are anticlockwise.
:param x: The X axis abscissa
:param y: The X axis ordinate
:return: The equivalent angle in decimal degrees from the X axis
"""
return math.degrees(math.atan2(y, x)) * -1
def yaxis2angle(x: float, y: float) -> float:
"""Converts Y axis abscissa and ordinates to an angle in decimal degrees
The Y axis abscissa and ordinate is how IFC stores true north.
This Y axis vector indicates "where is true north, if project north is up
the page?". See the diagram on the IfcGeometricRepresentationContext
documentation for clarification.
The angle indicates "how do I rotate project north to get to true north?".
Positive angles are anticlockwise.
:param x: The Y axis abscissa
:param y: The Y axis ordinate
:return: The equivalent angle in decimal degrees from the Y axis
"""
angle = math.degrees(math.atan2(y, x)) - 90
if angle < -180:
angle += 360
elif angle > 180:
angle -= 360
return angle
def get_grid_north(ifc_file: ifcopenshell.file) -> float:
"""Get an angle pointing to map grid north
Anticlockwise is positive.
The necessary georeferencing map conversion is automatically detected from
the IFC map conversion parameters present in the IFC model. If no map
conversion is present, then the Z coordinate is returned unchanged.
For IFC2X3, the map conversion is detected from the IfcProject's
ePSet_MapConversion. See the "User Guide for Geo-referencing in IFC":
https://www.buildingsmart.org/standards/bsi-standards/standards-library/
:param ifc_file: The IFC file
:return: An angle to grid north in decimal degrees
"""
parameters = get_helmert_transformation_parameters(ifc_file)
if not parameters:
return 0
return xaxis2angle(parameters.xaa, parameters.xao)
def get_true_north(ifc_file: ifcopenshell.file) -> float:
"""Get an angle pointing to global true north
Anticlockwise is positive.
Always remember that true north is not a constant! (Unless you are working
in polar coordinates) This true north is only a reference value useful for
things like solar analysis on small sites (<1km). If you're after the north
that your surveyor is using, you're probably after :func:`get_grid_north`
instead.
:param ifc_file: The IFC file
:return: An angle to true north in decimal degrees
"""
try:
for context in ifc_file.by_type("IfcGeometricRepresentationContext", include_subtypes=False):
if context.TrueNorth:
return yaxis2angle(*context.TrueNorth.DirectionRatios[0:2])
except:
return 0
return 0
def angle2xaxis(angle: float) -> tuple[float, float]:
"""Converts an angle into an X axis abscissa and ordinate
The inverse of :func:`xaxis2angle`.
:param angle: The angle in decimal degrees where anticlockwise is positive.
:return: A tuple of X axis abscissa and ordinate
"""
angle_rad = math.radians(angle)
x = math.cos(angle_rad)
y = -math.sin(angle_rad)
return x, y
def angle2yaxis(angle: float) -> tuple[float, float]:
"""Converts an angle into an Y axis abscissa and ordinate
The inverse of :func:`yaxis2angle`.
:param angle: The angle in decimal degrees where anticlockwise is positive.
:return: A tuple of Y axis abscissa and ordinate
"""
angle_rad = math.radians(angle)
x = -math.sin(angle_rad)
y = math.cos(angle_rad)
return x, y
def get_wcs(ifc_file: ifcopenshell.file) -> Optional[MatrixType]:
"""Gets the WCS (prioritising 3D contexts) as a matrix
:param: The IFC file
:return: A 4x4 matrix in project units
"""
wcs = None
for context in ifc_file.by_type("IfcGeometricRepresentationContext", include_subtypes=False):
wcs = context.WorldCoordinateSystem
if context.ContextType == "Model":
break
if wcs:
return ifcopenshell.util.placement.get_axis2placement(wcs)