diff --git a/test-linuxcnc-source-link.sh b/test-linuxcnc-source-link.sh
index e296985..7e3c139 100755
--- a/test-linuxcnc-source-link.sh
+++ b/test-linuxcnc-source-link.sh
@@ -555,6 +555,9 @@ CNC_SIM_RS274_VAR="$var_file" \
 CNC_SIM_RS274_VAR="$var_file" \
     "$build_dir/linuxcnc_rs274_source_dump" tests/gcode/linuxcnc_polar_coordinates.ngc \
     >"$output_dir/cnc_sim_linuxcnc_source_polar_coordinates.json"
+CNC_SIM_RS274_VAR="$var_file" \
+    "$build_dir/linuxcnc_rs274_source_dump" tests/gcode/linuxcnc_polar_coordinate_variants.ngc \
+    >"$output_dir/cnc_sim_linuxcnc_source_polar_coordinate_variants.json"
 polar_coordinate_error_cases=(
     "linuxcnc_polar_g18_error|Cannot use polar coordinate except in G17 plane"
     "linuxcnc_polar_with_x_error|Cannot specify both polar coordinate and X word"
@@ -2122,6 +2125,25 @@ if len(polar_linear_events) != len(expected_polar_linear_ends) or any(
     ]
     raise SystemExit(f"unexpected source-linked polar-coordinate endpoints: {polar_linear_ends!r}")
 
+polar_coordinate_variants = json.loads((OUTPUT_DIR / "cnc_sim_linuxcnc_source_polar_coordinate_variants.json").read_text())
+polar_variant_linear_events = [
+    event
+    for event in polar_coordinate_variants
+    if event["type"] == "linear-feed"
+]
+expected_polar_variant_ends = [(3, 6, 8), (4, 10, 0), (6, 15, 0), (7, 0, 15)]
+if len(polar_variant_linear_events) != len(expected_polar_variant_ends) or any(
+    event["line"] != line or
+    abs(event["end"]["x"] - x) > 1e-9 or
+    abs(event["end"]["y"] - y) > 1e-9
+    for event, (line, x, y) in zip(polar_variant_linear_events, expected_polar_variant_ends)
+):
+    polar_variant_linear_ends = [
+        (event["line"], event["end"]["x"], event["end"]["y"])
+        for event in polar_variant_linear_events
+    ]
+    raise SystemExit(f"unexpected source-linked polar-coordinate variant endpoints: {polar_variant_linear_ends!r}")
+
 predefined = json.loads((OUTPUT_DIR / "cnc_sim_linuxcnc_source_predefined_positions.json").read_text())
 predefined_rapids = [
     (
diff --git a/test-native.sh b/test-native.sh
index cbaf2c6..12b4dc5 100755
--- a/test-native.sh
+++ b/test-native.sh
@@ -147,6 +147,7 @@ grep -F 'tests/gcode/linuxcnc_lathe_diameter_g76.ngc' docs/linuxcnc-porting.md >
 grep -F 'missing source-linked G7 diameter-mode G76 final threading pass' test-linuxcnc-source-link.sh >/dev/null
 grep -F 'read_atsign()' test-linuxcnc-source-link.sh >/dev/null
 grep -F 'tests/gcode/linuxcnc_polar_coordinates.ngc' test-linuxcnc-source-link.sh >/dev/null
+grep -F 'tests/gcode/linuxcnc_polar_coordinate_variants.ngc' test-linuxcnc-source-link.sh >/dev/null
 grep -F 'enhance_block() assigns motion_to_be' test-linuxcnc-source-link.sh >/dev/null
 grep -F 'linuxcnc_g80_axis_error|Cannot use axis values with g80' test-linuxcnc-source-link.sh >/dev/null
 grep -F 'lookup_named_param()' test-linuxcnc-rs274-native.sh >/dev/null
diff --git a/tests/gcode/linuxcnc_polar_coordinate_variants.ngc b/tests/gcode/linuxcnc_polar_coordinate_variants.ngc
new file mode 100644
index 0000000..7164356
--- /dev/null
+++ b/tests/gcode/linuxcnc_polar_coordinate_variants.ngc
@@ -0,0 +1,8 @@
+G21 G90 G17
+G0 X3 Y4
+G1 @10 F100
+G1 ^0
+G91
+G1 @5
+G1 ^90
+M30