diff --git a/Makefile.am b/Makefile.am
index dccd89dd3..39221850f 100644
--- a/Makefile.am
+++ b/Makefile.am
@@ -250,6 +250,7 @@ vkd3d_shader_tests = \
 	tests/hlsl/side-effects.shader_test \
 	tests/hlsl/sign.shader_test \
 	tests/hlsl/single-numeric-initializer.shader_test \
+	tests/hlsl/sm1-centroid.shader_test \
 	tests/hlsl/sm1-const-allocation.shader_test \
 	tests/hlsl/sm1-const-folding.shader_test \
 	tests/hlsl/sm1-interstage-interface.shader_test \
diff --git a/tests/hlsl/sm1-centroid.shader_test b/tests/hlsl/sm1-centroid.shader_test
new file mode 100644
index 000000000..69c07504d
--- /dev/null
+++ b/tests/hlsl/sm1-centroid.shader_test
@@ -0,0 +1,181 @@
+[require]
+shader model < 4.0
+
+[rtv 0]
+format r32g32b32a32-float
+size (2dms, 4, 640, 480)
+
+[input layout]
+0 r32g32-float POSITION
+
+% The pixels in the second leftmost column lose two of their samples on the left, in addition to the center.
+% x = (1 + 0.1 - 320) / 320 = -0.9965625.
+[vb 0]
+-0.9965625 1.0
+3.0 1.0
+-0.9965625-3.0
+
+[vertex shader]
+void main(float2 pos : POSITION, out float4 out_pos : SV_Position, out float2 t : TEXCOORD0)
+{
+    out_pos = float4(pos, 0.0f, 1.0f);
+    t = float2(pos.x * 320.0f + 320.0f, -pos.y * 240.0f + 240.0f);
+}
+
+% Center interpolation.
+[pixel shader]
+static const float2 sample_pos = {-0.001f, 0.000f};
+
+float4 main(float2 t : TEXCOORD0) : SV_Target
+{
+    float2 ref = round(t);
+    bool first_col = ref.x == 1.0f;
+    float2 diff = t.xy - ref;
+    float2 expected = first_col ? sample_pos : 0.0f;
+    float2 err = abs(diff - expected);
+    return floor(1000.0f * float4(err, 0.0f, 0.0f));
+}
+
+[test]
+clear rtv 0 1.0 1.0 1.0 1.0
+draw triangle list 3
+probe (1, 1) f32(0.5, 0.5, 0.5, 0.5)
+probe (638, 1) f32(0.0, 0.0, 0.0, 0.0)
+probe (1, 478) f32(0.5, 0.5, 0.5, 0.5)
+probe (638, 479) f32(0.0, 0.0, 0.0, 0.0)
+
+% Centroid interpolation.
+% The WARP driver doesn't seem to support centroid interpolation for SM < 4.
+[pixel shader todo]
+static const float2 sample_pos = {-0.001f, 0.000f};
+
+float4 main(centroid float2 t : TEXCOORD0) : SV_Target
+{
+    float2 ref = round(t);
+    bool first_col = ref.x == 1.0f;
+    float2 diff = t.xy - ref;
+    float2 expected = first_col ? sample_pos : 0.0f;
+    float2 err = abs(diff - expected);
+    return floor(1000.0f * float4(err, 0.0f, 0.0f));
+}
+
+[test]
+clear rtv 0 1.0 1.0 1.0 1.0
+todo draw triangle list 3
+todo probe (1, 1) f32(0.5, 0.5, 0.5, 0.5)
+probe (638, 1) f32(0.0, 0.0, 0.0, 0.0)
+todo probe (1, 478) f32(0.5, 0.5, 0.5, 0.5)
+probe (638, 479) f32(0.0, 0.0, 0.0, 0.0)
+
+% The WARP driver doesn't seem to support centroid interpolation for SM < 4.
+[pixel shader todo]
+static const float2 sample_pos = {-0.001f, 0.000f};
+
+float4 main(float2 t : TEXCOORD0_centRoid) : SV_Target
+{
+    float2 ref = round(t);
+    bool first_col = ref.x == 1.0f;
+    float2 diff = t.xy - ref;
+    float2 expected = first_col ? sample_pos : 0.0f;
+    float2 err = abs(diff - expected);
+    return floor(1000.0f * float4(err, 0.0f, 0.0f));
+}
+
+[test]
+clear rtv 0 1.0 1.0 1.0 1.0
+todo draw triangle list 3
+todo probe (1, 1) f32(0.5, 0.5, 0.5, 0.5)
+probe (638, 1) f32(0.0, 0.0, 0.0, 0.0)
+todo probe (1, 478) f32(0.5, 0.5, 0.5, 0.5)
+probe (638, 479) f32(0.0, 0.0, 0.0, 0.0)
+
+% The WARP driver doesn't seem to support centroid interpolation for SM < 4.
+[pixel shader todo]
+static const float2 sample_pos = {-0.001f, 0.000f};
+
+struct ps_in
+{
+    float2 t : TEXCOORD0_centRoid;
+};
+
+float4 main(ps_in data) : SV_Target
+{
+    float2 ref = round(data.t);
+    bool first_col = ref.x == 1.0f;
+    float2 diff = data.t.xy - ref;
+    float2 expected = first_col ? sample_pos : 0.0f;
+    float2 err = abs(diff - expected);
+    return floor(1000.0f * float4(err, 0.0f, 0.0f));
+}
+
+[test]
+clear rtv 0 1.0 1.0 1.0 1.0
+todo draw triangle list 3
+todo probe (1, 1) f32(0.5, 0.5, 0.5, 0.5)
+probe (638, 1) f32(0.0, 0.0, 0.0, 0.0)
+todo probe (1, 478) f32(0.5, 0.5, 0.5, 0.5)
+probe (638, 479) f32(0.0, 0.0, 0.0, 0.0)
+
+% The "_centroid" semantic modifier can be specified together with the "centroid" prefix attribute.
+% The WARP driver doesn't seem to support centroid interpolation for SM < 4.
+[pixel shader todo]
+static const float2 sample_pos = {-0.001f, 0.000f};
+
+float4 main(centroid float2 t : TEXCOORD0_centroid) : SV_Target
+{
+    float2 ref = round(t);
+    bool first_col = ref.x == 1.0f;
+    float2 diff = t.xy - ref;
+    float2 expected = first_col ? sample_pos : 0.0f;
+    float2 err = abs(diff - expected);
+    return floor(1000.0f * float4(err, 0.0f, 0.0f));
+}
+
+[test]
+clear rtv 0 1.0 1.0 1.0 1.0
+todo draw triangle list 3
+todo probe (1, 1) f32(0.5, 0.5, 0.5, 0.5)
+probe (638, 1) f32(0.0, 0.0, 0.0, 0.0)
+todo probe (1, 478) f32(0.5, 0.5, 0.5, 0.5)
+probe (638, 479) f32(0.0, 0.0, 0.0, 0.0)
+
+% The semantic name is this case is "TEXCOORD_centroid", which is not valid for SM < 4.
+[pixel shader fail]
+float4 main(float2 t : TEXCOORD_centroid0) : SV_Target
+{
+    return t.x;
+}
+
+% The semantic name is this case is "TEXCOORD0_centroid" as well, which is not valid for SM < 4.
+[pixel shader fail]
+float4 main(float2 t : TEXCOORD0_centroid_centroid) : SV_Target
+{
+    return t.x;
+}
+
+% The centroid mode can only be applied to texcoord registers in SM2,
+% and cannot be applied to any semantic registers in SM3.
+
+[pixel shader fail(sm<3) todo]
+float4 main(centroid float2 t : COLOR) : SV_Target
+{
+    return t.x;
+}
+
+% The following semantics are invalid in SM2.
+
+[require]
+shader model >= 3.0
+shader model < 4.0
+
+[pixel shader fail todo]
+float4 main(centroid float t : VFACE) : SV_Target
+{
+    return t;
+}
+
+[pixel shader fail todo]
+float4 main(centroid float3 t : VPOS) : SV_Target
+{
+    return t.x;
+}