def test_ray2d_intersect_with_vertical_and_horizontal(self):
ray1 = ConstructionRay((-10, 10), (10, 10))
ray2 = ConstructionRay((5, 0), (5, 20))
point = ray1.intersect(ray2)
assert point.y == 10
assert point.x == 5
assert point.isclose(Vec3(5.0, 10.0), abs_tol=1e-4)
def test_ray2d_intersect(self):
ray1 = ConstructionRay((10, 1), (20, 10))
ray2 = ConstructionRay((17, -7), (-10, 3))
point = ray1.intersect(ray2)
assert point.isclose(Vec3(5.7434, -2.8309), abs_tol=1e-4)
assert ray1.is_parallel(ray2) is False
def test_ray2d_angle(self):
ray = ConstructionRay((10, 10), angle=HALF_PI)
assert ray._is_vertical is True
ray = ConstructionRay((10, 10), angle=0)
assert ray._is_horizontal is True
ray = ConstructionRay((10, 10), angle=math.pi / 4)
assert math.isclose(ray._slope, 1.0)
def test_ray2d_intersect_with_vertical(self):
ray1 = ConstructionRay((10, 1), (10, -7))
ray2 = ConstructionRay((-10, 3), (17, -7))
point = ray1.intersect(ray2)
assert point.x == 10
assert point.isclose(Vec3(10.0, -4.4074), abs_tol=1e-4)
with pytest.raises(ArithmeticError):
_ = ray1.yof(1)
def ray(v1, v2):
if v1.isclose(v2):
# vertices too close to define a ray, offset ray is parallel to segment:
angle = (stations[segment].vertex -
stations[segment + 1].vertex).angle
return ConstructionRay(v1, angle)
else:
return ConstructionRay(v1, v2)
def test_init_with_angle(self):
point = (10, 10)
ray = ConstructionRay(point, angle=0)
ray_normal = ray.orthogonal(point)
assert ray_normal._is_vertical is True
ray = ConstructionRay(point, angle=-HALF_PI)
assert ray._is_horizontal is False
assert ray._is_vertical is True
def test_intersect_ray_pass():
circle = ConstructionCircle((10.0, 10.0), 3)
ray1_hor = ConstructionRay((10.0, 15.0), angle=0)
ray2_hor = ConstructionRay((10.0, 5.0), angle=0)
ray1_vert = ConstructionRay((5.0, 10.0), angle=HALF_PI)
ray2_vert = ConstructionRay((15.0, 10.0), angle=-HALF_PI)
ray3 = ConstructionRay((13.24, 14.95), angle=0.3992)
assert len(circle.intersect_ray(ray1_hor)) == 0
assert len(circle.intersect_ray(ray2_hor)) == 0
assert len(circle.intersect_ray(ray1_vert)) == 0
assert len(circle.intersect_ray(ray2_vert)) == 0
assert len(circle.intersect_ray(ray3)) == 0
def test_two_close_horizontal_rays(self):
p1 = (39340.75302672016, 32489.73349764998)
p2 = (39037.75302672119, 32489.73349764978)
p3 = (38490.75302672015, 32489.73349764997)
ray1 = ConstructionRay(p1, p2)
ray2 = ConstructionRay(p2, p3)
assert ray1.is_horizontal is True
assert ray2.is_horizontal is True
assert ray1.is_parallel(ray2) is True
assert (
math.isclose(ray1.slope, ray2.slope) is False
), "Only slope testing is not sufficient"
def test_ray2d_parallel(self):
ray1 = ConstructionRay((17, -8), (-10, 2))
ray2 = ConstructionRay((-10, 3), (17, -7))
ray3 = ConstructionRay((-10, 4), (17, -6))
assert ray2.is_parallel(ray3) is True
assert ray1.is_parallel(ray3) is True
with pytest.raises(ParallelRaysError):
_ = ray2.intersect(ray3)
def intersect(ray1: ConstructionRay, ray2: ConstructionRay,
default: Vec2) -> Vec2:
""" Intersect two rays but take parallel rays into account. """
try:
v = ray1.intersect(ray2)
except ParallelRaysError:
v = default
return v
def test_diagonal_ray(self, circle):
ray_slope = ConstructionRay((5, 5), (16, 12))
cross_points = circle.intersect_ray(ray_slope)
assert len(cross_points) == 2
p1, p2 = cross_points
if p1[0] > p2[0]:
p1, p2 = p2, p1
assert p1.isclose((8.64840, 7.3217), abs_tol=1e-4)
assert p2.isclose((12.9986, 10.0900), abs_tol=1e-4)
def test_vertical_ray(self, circle):
ray_vert = ConstructionRay((8.5, 10.0), angle=HALF_PI)
cross_points = circle.intersect_ray(ray_vert)
assert len(cross_points) == 2
p1, p2 = cross_points
if p1[1] > p2[1]:
p1, p2 = p2, p1
assert p1.isclose((8.5, 7.4019), abs_tol=1e-4)
assert p2.isclose((8.5, 12.5981), abs_tol=1e-4)
def test_horizontal_ray(self, circle):
ray_hor = ConstructionRay((10, 8.5), angle=0.0)
cross_points = circle.intersect_ray(ray_hor)
assert len(cross_points) == 2
p1, p2 = cross_points
if p1[0] > p2[0]:
p1, p2 = p2, p1
assert p1.isclose((7.4019, 8.5), abs_tol=1e-4)
assert p2.isclose((12.5981, 8.5), abs_tol=1e-4)
def intersect(ray1: ConstructionRay, ray2: ConstructionRay,
default: Vec2) -> Vec2:
"""Intersect two rays but take parallel rays into account."""
# check for nearly parallel rays pi/100 ~1.8 degrees
if ray1.direction.angle_between(ray2.direction) < 0.031415:
return default
try:
return ray1.intersect(ray2)
except ParallelRaysError:
return default
def test_horizontal_ray_through_mid_point(self, circle):
ray_hor = ConstructionRay((10, 10), angle=0)
cross_points = circle.intersect_ray(ray_hor)
assert len(cross_points) == 2
p1, p2 = cross_points
if p1[0] > p2[0]:
p1, p2 = p2, p1
# print (p1[0], p1[1], p2[0], p2[1])
assert p1.isclose((7, 10), abs_tol=1e-5)
assert p2.isclose((13, 10), abs_tol=1e-5)
def test_vertical_ray_through_mid_point(self, circle):
ray_vert = ConstructionRay((10, 10), angle=HALF_PI)
cross_points = circle.intersect_ray(ray_vert)
assert len(cross_points) == 2
p1, p2 = cross_points
if p1[1] > p2[1]:
p1, p2 = p2, p1
# print (p1[0], p1[1], p2[0], p2[1])
assert p1.isclose((10, 7), abs_tol=1e-5)
assert p2.isclose((10, 13), abs_tol=1e-5)
def test_diagonal_ray_through_mid_point(self, circle):
ray_slope = ConstructionRay((10, 10), angle=HALF_PI / 2)
cross_points = circle.intersect_ray(ray_slope)
assert len(cross_points) == 2
p1, p2 = cross_points
if p1[0] > p2[0]:
p1, p2 = p2, p1
# print (p1[0], p1[1], p2[0], p2[1])
assert p1.isclose((7.8787, 7.8787), abs_tol=1e-4)
assert p2.isclose((12.1213, 12.1213), abs_tol=1e-4)
def _setup(self) -> None:
"""
Calc setup values and determines the point order of the dimension line points.
"""
self.measure_points = [Vec3(point) for point in self.measure_points]
dimlineray = ConstructionRay(self.dimlinepos,
angle=radians(self.angle))
self.dimline_points = [
self._get_point_on_dimline(point, dimlineray)
for point in self.measure_points
]
self.point_order = self._indices_of_sorted_points(self.dimline_points)
self._build_vectors()
def test_touch(testnum, x, y, _angle, abs_tol=1e-6):
result = True
ray = ConstructionRay((x, y), angle=_angle)
points = circle.intersect_ray(ray, abs_tol=abs_tol)
if len(points) != 1:
result = False
else:
point = points[0]
# print ("{0}: x= {1:.{places}f} y= {2:.{places}f} : x'= {3:.{places}f} y' = {4:.{places}f}".format(testnum, x, y, point[0], point[1], places=places))
if not isclose(point[0], x, abs_tol=abs_tol):
result = False
if not isclose(point[1], y, abs_tol=abs_tol):
result = False
return result
def test_bisectrix(self):
ray1 = ConstructionRay((10, 10), angle=math.pi / 3)
ray2 = ConstructionRay((3, -5), angle=math.pi / 2)
ray3 = ConstructionRay((1, 1), angle=math.pi / 3)
a = ray1.bisectrix(ray2)
assert math.isclose(a._angle, 1.309, abs_tol=1e-4)
assert math.isclose(a.yof(7), 12.80385, abs_tol=1e-4)
with pytest.raises(ParallelRaysError):
_ = ray1.bisectrix(ray3)
def test_intersect_ray_intersect():
circle = ConstructionCircle((10., 10.), 3)
ray_vert = ConstructionRay((8.5, 10.), angle=HALF_PI)
cross_points = circle.intersect_ray(ray_vert)
assert len(cross_points) == 2
p1, p2 = cross_points
if p1[1] > p2[1]: p1, p2 = p2, p1
assert is_close_points(p1, (8.5, 7.4019), abs_tol=1e-4) is True
assert is_close_points(p2, (8.5, 12.5981), abs_tol=1e-4) is True
ray_hor = ConstructionRay((10, 8.5), angle=0.)
cross_points = circle.intersect_ray(ray_hor)
assert len(cross_points) == 2
p1, p2 = cross_points
if p1[0] > p2[0]: p1, p2 = p2, p1
assert is_close_points(p1, (7.4019, 8.5), abs_tol=1e-4) is True
assert is_close_points(p2, (12.5981, 8.5), abs_tol=1e-4) is True
ray_slope = ConstructionRay((5, 5), (16, 12))
cross_points = circle.intersect_ray(ray_slope)
assert len(cross_points) == 2
p1, p2 = cross_points
if p1[0] > p2[0]: p1, p2 = p2, p1
assert is_close_points(p1, (8.64840, 7.3217), abs_tol=1e-4) is True
assert is_close_points(p2, (12.9986, 10.0900), abs_tol=1e-4) is True
# ray with slope through midpoint
ray_slope = ConstructionRay((10, 10), angle=HALF_PI / 2)
cross_points = circle.intersect_ray(ray_slope)
assert len(cross_points) == 2
p1, p2 = cross_points
if p1[0] > p2[0]: p1, p2 = p2, p1
# print (p1[0], p1[1], p2[0], p2[1])
assert is_close_points(p1, (7.8787, 7.8787), abs_tol=1e-4) is True
assert is_close_points(p2, (12.1213, 12.1213), abs_tol=1e-4) is True
# horizontal ray through midpoint
ray_hor = ConstructionRay((10, 10), angle=0)
cross_points = circle.intersect_ray(ray_hor)
assert len(cross_points) == 2
p1, p2 = cross_points
if p1[0] > p2[0]: p1, p2 = p2, p1
# print (p1[0], p1[1], p2[0], p2[1])
assert is_close_points(p1, (7, 10), abs_tol=1e-5) is True
assert is_close_points(p2, (13, 10), abs_tol=1e-5) is True
# vertical ray through midpoint
ray_vert = ConstructionRay((10, 10), angle=HALF_PI)
cross_points = circle.intersect_ray(ray_vert)
assert len(cross_points) == 2
p1, p2 = cross_points
if p1[1] > p2[1]: p1, p2 = p2, p1
# print (p1[0], p1[1], p2[0], p2[1])
assert is_close_points(p1, (10, 7), abs_tol=1e-5) is True
assert is_close_points(p2, (10, 13), abs_tol=1e-5) is True
def center_of_3points_arc(point1: "Vertex", point2: "Vertex",
point3: "Vertex") -> Vec3:
"""
Calc center point of 3 point arc. ConstructionCircle is defined by 3 points on the circle: point1, point2 and point3.
"""
ray1 = ConstructionRay(point1, point2)
ray2 = ConstructionRay(point1, point3)
midpoint1 = lerp(point1, point2)
midpoint2 = lerp(point1, point3)
center_ray1 = ray1.orthogonal(midpoint1)
center_ray2 = ray2.orthogonal(midpoint2)
return center_ray1.intersect(center_ray2)
def _get_point_on_dimline(point: "Vertex",
dimray: ConstructionRay) -> Vec3:
"""get the measure target point projection on the dimension line"""
return dimray.intersect(dimray.orthogonal(point))
def __init__(self,
dimension: 'Dimension',
ucs: 'UCS' = None,
override: 'DimStyleOverride' = None):
super().__init__(dimension, ucs, override)
if self.text_movement_rule == 0:
# moves the dimension line with dimension text, this makes no sense for ezdxf (just set `base` argument)
self.text_movement_rule = 2
self.oblique_angle = self.dimension.get_dxf_attrib(
'oblique_angle', 90) # type: float
self.dim_line_angle = self.dimension.get_dxf_attrib('angle',
0) # type: float
self.dim_line_angle_rad = math.radians(
self.dim_line_angle) # type: float
self.ext_line_angle = self.dim_line_angle + self.oblique_angle # type: float
self.ext_line_angle_rad = math.radians(
self.ext_line_angle) # type: float
# text is aligned to dimension line
self.text_rotation = self.dim_line_angle # type: float
if self.text_halign in (
3, 4
): # text above extension line, is always aligned with extension lines
self.text_rotation = self.ext_line_angle
self.ext1_line_start = Vec2(self.dimension.dxf.defpoint2)
self.ext2_line_start = Vec2(self.dimension.dxf.defpoint3)
ext1_ray = ConstructionRay(self.ext1_line_start,
angle=self.ext_line_angle_rad)
ext2_ray = ConstructionRay(self.ext2_line_start,
angle=self.ext_line_angle_rad)
dim_line_ray = ConstructionRay(self.dimension.dxf.defpoint,
angle=self.dim_line_angle_rad)
self.dim_line_start = dim_line_ray.intersect(ext1_ray) # type: Vec2
self.dim_line_end = dim_line_ray.intersect(ext2_ray) # type: Vec2
self.dim_line_center = self.dim_line_start.lerp(
self.dim_line_end) # type: Vec2
if self.dim_line_start == self.dim_line_end:
self.dim_line_vec = Vec2.from_angle(self.dim_line_angle_rad)
else:
self.dim_line_vec = (self.dim_line_end -
self.dim_line_start).normalize() # type: Vec2
# set dimension defpoint to expected location - 3D vertex required!
self.dimension.dxf.defpoint = Vector(self.dim_line_start)
self.measurement = (self.dim_line_end -
self.dim_line_start).magnitude # type: float
self.text = self.text_override(
self.measurement * self.dim_measurement_factor) # type: str
# only for linear dimension in multi point mode
self.multi_point_mode = override.pop('multi_point_mode', False)
# 1 .. move wide text up
# 2 .. move wide text down
# None .. ignore
self.move_wide_text = override.pop('move_wide_text',
None) # type: bool
# actual text width in drawing units
self.dim_text_width = 0 # type: float
# arrows
self.required_arrows_space = 2 * self.arrow_size + self.text_gap # type: float
self.arrows_outside = self.required_arrows_space > self.measurement # type: bool
# text location and rotation
if self.text:
# text width and required space
self.dim_text_width = self.text_width(self.text) # type: float
if self.dim_tolerance:
self.dim_text_width += self.tol_text_width
elif self.dim_limits:
# limits show the upper and lower limit of the measurement as stacked values
# and with the size of tolerances
measurement = self.measurement * self.dim_measurement_factor
self.measurement_upper_limit = measurement + self.tol_maximum
self.measurement_lower_limit = measurement - self.tol_minimum
self.tol_text_upper = self.format_tolerance_text(
self.measurement_upper_limit)
self.tol_text_lower = self.format_tolerance_text(
self.measurement_lower_limit)
self.tol_text_width = self.tolerance_text_width(
max(len(self.tol_text_upper), len(self.tol_text_lower)))
# only limits are displayed so:
self.dim_text_width = self.tol_text_width
if self.multi_point_mode:
# ezdxf has total control about vertical text position in multi point mode
self.text_vertical_position = 0.
if self.text_valign == 0 and abs(
self.text_vertical_position) < 0.7:
# vertical centered text needs also space for arrows
required_space = self.dim_text_width + 2 * self.arrow_size
else:
required_space = self.dim_text_width
self.is_wide_text = required_space > self.measurement
if not self.force_text_inside:
# place text outside if wide text and not forced inside
self.text_outside = self.is_wide_text
elif self.is_wide_text and self.text_halign < 3:
# center wide text horizontal
self.text_halign = 0
# use relative text shift to move wide text up or down in multi point mode
if self.multi_point_mode and self.is_wide_text and self.move_wide_text:
shift_value = self.text_height + self.text_gap
if self.move_wide_text == 1: # move text up
self.text_shift_v = shift_value
if self.vertical_placement == -1: # text below dimension line
# shift again
self.text_shift_v += shift_value
elif self.move_wide_text == 2: # move text down
self.text_shift_v = -shift_value
if self.vertical_placement == 1: # text above dimension line
# shift again
self.text_shift_v -= shift_value
# get final text location - no altering after this line
self.text_location = self.get_text_location() # type: Vec2
# text rotation override
rotation = self.text_rotation # type: float
if self.user_text_rotation is not None:
rotation = self.user_text_rotation
elif self.text_outside and self.text_outside_horizontal:
rotation = 0
elif self.text_inside and self.text_inside_horizontal:
rotation = 0
self.text_rotation = rotation
self.text_box = TextBox(center=self.text_location,
width=self.dim_text_width,
height=self.text_height,
angle=self.text_rotation,
gap=self.text_gap * .75)
if self.text_has_leader:
p1, p2, *_ = self.text_box.corners
self.leader1, self.leader2 = order_leader_points(
self.dim_line_center, p1, p2)
# not exact what BricsCAD (AutoCAD) expect, but close enough
self.dimension.dxf.text_midpoint = self.leader1
else:
# write final text location into DIMENSION entity
self.dimension.dxf.text_midpoint = self.text_location
def profile_construction_ray_init_once(count=COUNT):
ray1 = ConstructionRay(p1=P1, p2=P2)
ray2 = ConstructionRay(p1=P3, p2=P4)
for _ in range(count):
ray1.intersect(ray2)
def test_ray2d_parallel_vertical(self):
ray1 = ConstructionRay((10, 1), (10, -7))
ray2 = ConstructionRay((11, 0), angle=HALF_PI)
ray3 = ConstructionRay((12, -10), (12, 7))
ray4 = ConstructionRay((0, 0), (1, 1))
ray5 = ConstructionRay((0, 0), angle=0)
with pytest.raises(ParallelRaysError):
_ = ray1.intersect(ray3)
assert ray1.is_parallel(ray3) is True
assert ray1.is_parallel(ray2) is True
assert ray2.is_parallel(ray2) is True
assert ray1.is_parallel(ray4) is False
assert ray2.is_parallel(ray4) is False
assert ray3.is_parallel(ray4) is False
assert ray1.is_parallel(ray5) is False
assert ray2.is_parallel(ray5) is False
assert ray3.is_parallel(ray5) is False
# vertical rays can't calc a y-value
with pytest.raises(ArithmeticError):
_ = ray1.yof(-1.0)
def test_ray2d_normal_horizontal(self):
ray = ConstructionRay((10, 10), (20, 10)) # horizontal line
ortho = ray.orthogonal((3, 3))
point = ray.intersect(ortho)
assert point.isclose(Vec3(3, 10))
def test_ray2d_normal_vertical(self):
ray = ConstructionRay((10, 1), (10, -7)) # vertical line
ortho = ray.orthogonal((3, 3))
point = ray.intersect(ortho)
assert point.isclose(Vec3(10, 3))
def __init__(
self,
dimension: "Dimension",
ucs: "UCS" = None,
override: "DimStyleOverride" = None,
):
super().__init__(dimension, ucs, override)
measurement = self.measurement
if measurement.text_movement_rule == 0:
# moves the dimension line with dimension text, this makes no sense
# for ezdxf (just set `base` argument)
measurement.text_movement_rule = 2
self.oblique_angle: float = self.dimension.get_dxf_attrib(
"oblique_angle", 90)
self.dim_line_angle: float = self.dimension.get_dxf_attrib("angle", 0)
self.dim_line_angle_rad: float = math.radians(self.dim_line_angle)
self.ext_line_angle: float = self.dim_line_angle + self.oblique_angle
self.ext_line_angle_rad: float = math.radians(self.ext_line_angle)
# text is aligned to dimension line
measurement.text_rotation = self.dim_line_angle
# text above extension line, is always aligned with extension lines
if measurement.text_halign in (3, 4):
measurement.text_rotation = self.ext_line_angle
self.ext1_line_start = Vec2(self.dimension.dxf.defpoint2)
self.ext2_line_start = Vec2(self.dimension.dxf.defpoint3)
ext1_ray = ConstructionRay(self.ext1_line_start,
angle=self.ext_line_angle_rad)
ext2_ray = ConstructionRay(self.ext2_line_start,
angle=self.ext_line_angle_rad)
dim_line_ray = ConstructionRay(self.dimension.dxf.defpoint,
angle=self.dim_line_angle_rad)
self.dim_line_start: Vec2 = dim_line_ray.intersect(ext1_ray)
self.dim_line_end: Vec2 = dim_line_ray.intersect(ext2_ray)
self.dim_line_center: Vec2 = self.dim_line_start.lerp(
self.dim_line_end)
if self.dim_line_start == self.dim_line_end:
self.dim_line_vec = Vec2.from_angle(self.dim_line_angle_rad)
else:
self.dim_line_vec = (self.dim_line_end -
self.dim_line_start).normalize()
# set dimension defpoint to expected location - 3D vertex required!
self.dimension.dxf.defpoint = Vec3(self.dim_line_start)
raw_measurement = (self.dim_line_end - self.dim_line_start).magnitude
measurement.update(raw_measurement)
# only for linear dimension in multi point mode
self.multi_point_mode = self.dim_style.pop("multi_point_mode", False)
# 1 .. move wide text up
# 2 .. move wide text down
# None .. ignore
self.move_wide_text: Optional[bool] = self.dim_style.pop(
"move_wide_text", None)
# actual text width in drawing units
self._total_text_width: float = 0
# arrows
self.required_arrows_space: float = (2 * self.arrows.arrow_size +
measurement.text_gap)
self.arrows_outside: bool = (self.required_arrows_space >
raw_measurement)
# text location and rotation
if measurement.text:
# text width and required space
self._total_text_width = self.total_text_width()
if self.tol.has_limits:
# limits show the upper and lower limit of the measurement as
# stacked values and with the size of tolerances
self.tol.update_limits(self.measurement.value)
if self.multi_point_mode:
# ezdxf has total control about vertical text position in multi
# point mode
measurement.text_vertical_position = 0.0
if (measurement.text_valign == 0
and abs(measurement.text_vertical_position) < 0.7):
# vertical centered text needs also space for arrows
required_space = (self._total_text_width +
2 * self.arrows.arrow_size)
else:
required_space = self._total_text_width
measurement.is_wide_text = required_space > raw_measurement
if not measurement.force_text_inside:
# place text outside if wide text and not forced inside
measurement.text_is_outside = measurement.is_wide_text
elif measurement.is_wide_text and measurement.text_halign < 3:
# center wide text horizontal
measurement.text_halign = 0
# use relative text shift to move wide text up or down in multi
# point mode
if (self.multi_point_mode and measurement.is_wide_text
and self.move_wide_text):
shift_value = measurement.text_height + measurement.text_gap
if self.move_wide_text == 1: # move text up
measurement.text_shift_v = shift_value
if (measurement.vertical_placement == -1
): # text below dimension line
# shift again
measurement.text_shift_v += shift_value
elif self.move_wide_text == 2: # move text down
measurement.text_shift_v = -shift_value
if (measurement.vertical_placement == 1
): # text above dimension line
# shift again
measurement.text_shift_v -= shift_value
# get final text location - no altering after this line
measurement.text_location = self.get_text_location()
# text rotation override
rotation: float = measurement.text_rotation
if measurement.user_text_rotation is not None:
rotation = measurement.user_text_rotation
elif (measurement.text_is_outside
and measurement.text_outside_horizontal):
rotation = 0.0
elif (measurement.text_is_inside
and measurement.text_inside_horizontal):
rotation = 0.0
measurement.text_rotation = rotation
text_box = self.init_text_box()
self.geometry.set_text_box(text_box)
if measurement.has_leader:
p1, p2, *_ = text_box.corners
self.leader1, self.leader2 = order_leader_points(
self.dim_line_center, p1, p2)
# not exact what BricsCAD (AutoCAD) expect, but close enough
self.dimension.dxf.text_midpoint = self.leader1
else:
# write final text location into DIMENSION entity
self.dimension.dxf.text_midpoint = measurement.text_location
def test_ray2d_normal(self):
ray = ConstructionRay((-10, 3), (17, -7))
ortho = ray.orthogonal((3, 3))
point = ray.intersect(ortho)
assert point.isclose(Vec3(1.4318, -1.234), abs_tol=1e-4)