diff --git a/masque/__init__.py b/masque/__init__.py
index 93eabdc..86fae91 100644
--- a/masque/__init__.py
+++ b/masque/__init__.py
@@ -83,10 +83,12 @@ from .builder import (
 from .utils import (
     ports2data as ports2data,
     oneshot as oneshot,
+    R90 as R90,
+    R180 as R180,
     )
 
 
 __author__ = 'Jan Petykiewicz'
 
-__version__ = '3.2'
+__version__ = '3.3'
 version = __version__       # legacy
diff --git a/masque/utils/__init__.py b/masque/utils/__init__.py
index 11391a5..f33142f 100644
--- a/masque/utils/__init__.py
+++ b/masque/utils/__init__.py
@@ -25,6 +25,8 @@ from .transform import (
     normalize_mirror as normalize_mirror,
     rotate_offsets_around as rotate_offsets_around,
     apply_transforms as apply_transforms,
+    R90 as R90,
+    R180 as R180,
     )
 from .comparisons import (
     annotation2key as annotation2key,
diff --git a/masque/utils/curves.py b/masque/utils/curves.py
index 027d205..1e41c35 100644
--- a/masque/utils/curves.py
+++ b/masque/utils/curves.py
@@ -2,6 +2,11 @@ import numpy
 from numpy.typing import ArrayLike, NDArray
 from numpy import pi
 
+try:
+    from numpy import trapezoid
+except ImportError:
+    from numpy import trapz as trapezoid
+
 
 def bezier(
         nodes: ArrayLike,
@@ -63,13 +68,13 @@ def euler_bend(
     num_points_spiral = numpy.floor(ll_max / ll_tot * num_points).astype(int)
     num_points_arc = num_points - 2 * num_points_spiral
 
-    def gen_spiral(ll_max: float):
+    def gen_spiral(ll_max: float) -> NDArray[numpy.float64]:
         xx = []
         yy = []
         for ll in numpy.linspace(0, ll_max, num_points_spiral):
             qq = numpy.linspace(0, ll, 1000)        # integrate to current arclength
-            xx.append(numpy.trapz( numpy.cos(qq * qq / 2), qq))
-            yy.append(numpy.trapz(-numpy.sin(qq * qq / 2), qq))
+            xx.append(trapezoid( numpy.cos(qq * qq / 2), qq))
+            yy.append(trapezoid(-numpy.sin(qq * qq / 2), qq))
         xy_part = numpy.stack((xx, yy), axis=1)
         return xy_part
 
diff --git a/masque/utils/transform.py b/masque/utils/transform.py
index e2ea9aa..dfb6492 100644
--- a/masque/utils/transform.py
+++ b/masque/utils/transform.py
@@ -9,6 +9,11 @@ from numpy.typing import NDArray, ArrayLike
 from numpy import pi
 
 
+# Constants for shorthand rotations
+R90 = pi / 2
+R180 = pi
+
+
 @lru_cache
 def rotation_matrix_2d(theta: float) -> NDArray[numpy.float64]:
     """