Add backward tests for float16 and bfloat16

tests/test_cosine_similarity.py

@@ -38,17 +38,43 @@ def test_backward(z_size, y_size, x_size, dim, device):
     else:
         target_dim = (z_size, y_size)
 
-    grad_ouput = torch.randn(target_dim, **factory_kwargs)
+    grad_output = torch.randn(target_dim, **factory_kwargs)
 
     def train(func):
         i = x1.clone()
         j = x2.clone()
         i.requires_grad = j.requires_grad = True
-        func(i, j).backward(grad_ouput, retain_graph=True)
+        func(i, j).backward(grad_output, retain_graph=True)
         return i.grad, j.grad
 
     (x, y) = train(torch.nn.CosineSimilarity(dim))
     (a, b) = train(trident.CosineSimilarity(dim))
 
     assert util.equal(x, a)
     assert util.equal(y, b)
+
+
+@pytest.mark.parametrize("z_size, y_size, x_size, dim", [(640, 21, 86, 2)])
+def test_cosine_similarity(z_size, y_size, x_size, dim, device, dtype):
+    factory_kwargs = {"device": device, "dtype": dtype}
+    x1 = torch.randn(z_size, y_size, x_size, **factory_kwargs, requires_grad=True)
+    x2 = torch.randn(z_size, y_size, x_size, **factory_kwargs, requires_grad=True)
+
+    output = trident.CosineSimilarity(dim).forward(x1, x2)
+    assert output is not None
+    assert output.dtype == dtype
+
+    if dim == 0:
+        target_dim = (y_size, x_size)
+    elif dim == 1:
+        target_dim = (z_size, x_size)
+    else:
+        target_dim = (z_size, y_size)
+
+    grad_output = torch.randn(target_dim, **factory_kwargs)
+
+    output.backward(grad_output)
+    assert x1.grad is not None
+    assert x1.grad.dtype == dtype
+    assert x2.grad is not None
+    assert x2.grad.dtype == dtype

tests/test_dropout.py

@@ -46,7 +46,12 @@ def train(func):
 @pytest.mark.parametrize("x_size, p", [(16, 0.7)])
 def test_dropout(x_size, p, device, dtype):
     factory_kwargs = {"device": device, "dtype": dtype}
-    input = torch.randn(x_size, **factory_kwargs)
+    input = torch.randn(x_size, **factory_kwargs, requires_grad=True)
+    grad_output = torch.randn_like(input)
 
     output = trident.Dropout(p).forward(input)
     assert output is not None and output.dtype == dtype
+
+    output.backward(grad_output)
+    assert input.grad is not None
+    assert input.grad.dtype == dtype

tests/test_geglu.py

@@ -88,6 +88,9 @@ def train(func):
 def test_geglu(num_batches, m_size, n_size, k_size, device, dtype):
     factory_kwargs = {"device": device, "dtype": dtype}
     input = torch.randn(num_batches, m_size, k_size, **factory_kwargs)
+    x_size = n_size // 2
+    input = torch.randn(num_batches, m_size, k_size, **factory_kwargs, requires_grad=True)
+    grad_output = torch.randn(num_batches, m_size, x_size, **factory_kwargs)
 
     output = trident.GEGLU(m_size, n_size, **factory_kwargs).forward(input)
 
@@ -98,3 +101,8 @@ def test_geglu(num_batches, m_size, n_size, k_size, device, dtype):
 
     assert output is not None
     assert output.dtype == dtype
+
+    output.backward(grad_output)
+
+    assert input.grad is not None
+    assert input.grad.dtype == dtype

tests/test_gelu.py

@@ -46,7 +46,13 @@ def train(func):
 @pytest.mark.parametrize("y_size, x_size", [(2, 128)])
 def test_gelu(y_size, x_size, device, dtype):
     factory_kwargs = {"device": device, "dtype": dtype}
-    input = torch.randn((y_size, x_size), **factory_kwargs)
+    input = torch.randn(y_size, x_size, **factory_kwargs, requires_grad=True)
+    grad_output = torch.randn_like(input)
 
     output = trident.GELU().forward(input)
     assert output is not None and output.dtype == dtype
+
+    output.backward(grad_output)
+
+    assert input.grad is not None
+    assert input.grad.dtype == dtype

tests/test_group_norm.py

@@ -96,7 +96,8 @@ def train(func):
 @pytest.mark.parametrize("num_batches, y_size, x_size, num_groups", [(1, 8, 1, 4)])
 def test_group_norm(num_batches, y_size, x_size, num_groups, device, dtype):
     factory_kwargs = {"device": device, "dtype": dtype}
-    input = torch.randn((num_batches, y_size, x_size), **factory_kwargs)
+    input = torch.randn(num_batches, y_size, x_size, **factory_kwargs, requires_grad=True)
+    grad_output = torch.rand_like(input)
 
     operation = trident.GroupNorm(num_groups, y_size, **factory_kwargs)
     output = operation.forward(input)
@@ -105,3 +106,7 @@ def test_group_norm(num_batches, y_size, x_size, num_groups, device, dtype):
     operation = trident.GroupNorm(num_groups, y_size, affine=True, **factory_kwargs)
     output = operation.forward(input)
     assert output is not None and output.dtype == dtype
+
+    output.backward(grad_output)
+    assert input.grad is not None
+    assert input.grad.dtype == dtype

tests/test_instance_norm.py

@@ -102,7 +102,8 @@ def train(func):
 @pytest.mark.parametrize("num_channels, length", [(1, 64)])
 def test_instance_norm1d(num_channels, length, device, dtype):
     factory_kwargs = {"device": device, "dtype": dtype}
-    input = torch.randn(num_channels, length, **factory_kwargs)
+    input = torch.randn(num_channels, length, **factory_kwargs, requires_grad=True)
+    grad_output = torch.rand_like(input)
 
     output = trident.InstanceNorm1d(num_channels, **factory_kwargs).forward(input)
 
@@ -126,11 +127,16 @@ def test_instance_norm1d(num_channels, length, device, dtype):
     assert output is not None
     assert output.dtype == dtype
 
+    output.backward(grad_output)
+    assert input.grad is not None
+    assert input.grad.dtype == dtype
+
 
 @pytest.mark.parametrize("num_batches, num_channels, height, width", [(1, 1, 64, 64)])
 def test_instance_norm2d(num_batches, num_channels, height, width, device, dtype):
     factory_kwargs = {"device": device, "dtype": dtype}
-    input = torch.randn(num_batches, num_channels, height, width, **factory_kwargs)
+    input = torch.randn(num_batches, num_channels, height, width, **factory_kwargs, requires_grad=True)
+    grad_output = torch.rand_like(input)
 
     output = trident.InstanceNorm2d(num_channels, **factory_kwargs).forward(input)
 
@@ -153,3 +159,7 @@ def test_instance_norm2d(num_batches, num_channels, height, width, device, dtype
 
     assert output is not None
     assert output.dtype == dtype
+
+    output.backward(grad_output)
+    assert input.grad is not None
+    assert input.grad.dtype == dtype

tests/test_layer_norm.py

@@ -114,11 +114,16 @@ def train(func):
 @pytest.mark.parametrize("y_size, x_size", [(1, 32)])
 def test_layer_norm(y_size, x_size, device, dtype):
     factory_kwargs = {"device": device, "dtype": dtype}
-    input = torch.randn(y_size, x_size, **factory_kwargs)
+    input = torch.randn(y_size, x_size, **factory_kwargs, requires_grad=True)
     normalized_shape = (input.shape[-1],)
+    grad_output = torch.rand_like(input)
 
     output = trident.LayerNorm(normalized_shape, **factory_kwargs).forward(input)
     assert output is not None and output.dtype == dtype
 
     output = trident.LayerNorm(normalized_shape, elementwise_affine=False, **factory_kwargs).forward(input)
     assert output is not None and output.dtype == dtype
+
+    output.backward(grad_output)
+    assert input.grad is not None
+    assert input.grad.dtype == dtype

tests/test_leaky_relu.py

@@ -46,9 +46,15 @@ def train(func):
 @pytest.mark.parametrize("num_batches, num_elements", [(1, 100)])
 def test_leaky_relu(num_batches, num_elements, device, dtype):
     factory_kwargs = {"device": device, "dtype": dtype}
-    input = torch.randn(num_batches, num_elements, **factory_kwargs)
+    input = torch.randn(num_batches, num_elements, **factory_kwargs, requires_grad=True)
+    grad_output = torch.rand_like(input)
 
     output = trident.LeakyReLU().forward(input)
 
     assert output is not None
     assert output.dtype == dtype
+
+    output.backward(grad_output)
+
+    assert input.grad is not None
+    assert input.grad.dtype == dtype

tests/test_max.py

@@ -54,7 +54,13 @@ def test_max(y_size, x_size, dim, device, dtype):
         pytest.skip("Skipping due to bfloat16 dtype")
 
     factory_kwargs = {"device": device, "dtype": dtype}
-    input = torch.randn(y_size, x_size, **factory_kwargs)
+    input = torch.randn(y_size, x_size, **factory_kwargs, requires_grad=True)
+    grad_output = torch.randn(x_size if dim == 0 else y_size, **factory_kwargs)
 
-    operation = trident.Max(dim)
-    assert operation.forward(input) is not None
+    output, argmax = trident.Max(dim).forward(input)
+    assert output is not None
+    assert output.dtype == dtype
+
+    output.backward(grad_output)
+    assert input.grad is not None
+    assert input.grad.dtype == dtype

tests/test_mean.py

@@ -46,7 +46,13 @@ def train(func):
 @pytest.mark.parametrize("y_size, x_size, dim", [(1, 16, 0), (16, 1, 1)])
 def test_mean(y_size, x_size, dim, device, dtype):
     factory_kwargs = {"device": device, "dtype": dtype}
-    input = torch.randn(y_size, x_size, **factory_kwargs)
+    input = torch.randn(y_size, x_size, **factory_kwargs, requires_grad=True)
+    grad_output = torch.randn(x_size if dim == 0 else y_size, **factory_kwargs)
 
     output = trident.Mean(dim).forward(input)
-    assert output is not None and output.dtype == dtype
+    assert output is not None
+    assert output.dtype == dtype
+
+    output.backward(grad_output)
+    assert input.grad is not None
+    assert input.grad.dtype == dtype

tests/test_prelu.py

@@ -50,9 +50,14 @@ def train(func):
 @pytest.mark.parametrize("y_size, x_size", [(1, 100)])
 def test_prelu(y_size, x_size, device, dtype):
     factory_kwargs = {"device": device, "dtype": dtype}
-    input = torch.randn(y_size, x_size, **factory_kwargs)
+    input = torch.randn(y_size, x_size, **factory_kwargs, requires_grad=True)
+    grad_output = torch.rand_like(input)
 
     output = trident.PReLU(x_size, 0.3, **factory_kwargs).forward(input)
 
     assert output is not None
     assert output.dtype == dtype
+
+    output.backward(grad_output)
+    assert input.grad is not None
+    assert input.grad.dtype == dtype

tests/test_relu.py

@@ -46,9 +46,14 @@ def train(func):
 @pytest.mark.parametrize("y_size, x_size", [(1, 100)])
 def test_relu(y_size, x_size, device, dtype):
     factory_kwargs = {"device": device, "dtype": dtype}
-    input = torch.randn(y_size, x_size, **factory_kwargs)
+    input = torch.randn(y_size, x_size, **factory_kwargs, requires_grad=True)
+    grad_output = torch.randn_like(input)
 
     output = trident.ReLU().forward(input)
 
     assert output is not None
     assert output.dtype == dtype
+
+    output.backward(grad_output)
+    assert input.grad is not None
+    assert input.grad.dtype == dtype

tests/test_rms_norm.py

@@ -91,7 +91,8 @@ def train(func):
 @pytest.mark.parametrize("y_size, x_size", [(4, 16)])
 def test_rms_norm(y_size, x_size, device, dtype):
     factory_kwargs = {"device": device, "dtype": dtype}
-    input = torch.randn((y_size, x_size), **factory_kwargs)
+    input = torch.randn(y_size, x_size, **factory_kwargs, requires_grad=True)
+    grad_output = torch.randn_like(input)
 
     output = trident.RMSNorm(x_size, **factory_kwargs).forward(input)
     assert output is not None and output.dtype == dtype
@@ -101,3 +102,7 @@ def test_rms_norm(y_size, x_size, device, dtype):
     assert output is not None and output.dtype == dtype
     output = trident.RMSNorm(x_size, 0.5, bias=True, **factory_kwargs).forward(input)
     assert output is not None and output.dtype == dtype
+
+    output.backward(grad_output)
+    assert input.grad is not None
+    assert input.grad.dtype == dtype

tests/test_shift_gelu.py

@@ -54,7 +54,13 @@ def train(func):
 @pytest.mark.parametrize("num_batches, y_size, x_size", [(2, 10, 1000)])
 def test_shift_gelu(num_batches, y_size, x_size, device, dtype):
     factory_kwargs = {"device": device, "dtype": dtype}
-    input = torch.randn((num_batches, y_size, x_size), **factory_kwargs)
+    input = torch.randn(num_batches, y_size, x_size, **factory_kwargs, requires_grad=True)
+    grad_output = torch.randn_like(input)
 
     output = trident.ShiftGELU(x_size, **factory_kwargs).forward(input)
-    assert output is not None and output.dtype == dtype
+    assert output is not None
+    assert output.dtype == dtype
+
+    output.backward(grad_output)
+    assert input.grad is not None
+    assert input.grad.dtype == dtype

tests/test_silu.py

@@ -46,7 +46,12 @@ def train(func):
 @pytest.mark.parametrize("y_size, x_size", [(1, 32)])
 def test_silu(y_size, x_size, device, dtype):
     factory_kwargs = {"device": device, "dtype": dtype}
-    input = torch.randn(y_size, x_size, **factory_kwargs)
+    input = torch.randn(y_size, x_size, **factory_kwargs, requires_grad=True)
+    grad_output = torch.rand_like(input)
 
     output = trident.SiLU().forward(input)
     assert output is not None and output.dtype == dtype
+
+    output.backward(grad_output)
+    assert input.grad is not None
+    assert input.grad.dtype == dtype

tests/test_softmax.py

@@ -46,6 +46,13 @@ def train(func, dim):
 @pytest.mark.parametrize("y_size, x_size, dim", [(1, 32, 1)])
 def test_softmax(y_size, x_size, dim, device, dtype):
     factory_kwargs = {"device": device, "dtype": dtype}
-    input = torch.randn(y_size, x_size, **factory_kwargs)
+    input = torch.randn(y_size, x_size, **factory_kwargs, requires_grad=True)
+    grad_output = torch.randn_like(input)
 
-    assert trident.Softmax(dim).forward(input) is not None
+    output = trident.Softmax(dim).forward(input)
+    assert output is not None
+    assert output.dtype == dtype
+
+    output.backward(grad_output)
+    assert input.grad is not None
+    assert input.grad.dtype == dtype

tests/test_sum.py

@@ -46,11 +46,16 @@ def train(func):
 @pytest.mark.parametrize("y_size, x_size, dim", [(1, 16, 0)])
 def test_sum(y_size, x_size, dim, device, dtype):
     factory_kwargs = {"device": device, "dtype": dtype}
-    input = torch.randn(y_size, x_size, **factory_kwargs)
+    input = torch.randn(y_size, x_size, **factory_kwargs, requires_grad=True)
+    grad_output = torch.randn(x_size if dim == 0 else y_size, **factory_kwargs)
 
     output = trident.Sum(dim).forward(input)
     assert output is not None and output.dtype == dtype
 
+    output.backward(grad_output)
+    assert input.grad is not None
+    assert input.grad.dtype == dtype
+
 
 @pytest.mark.parametrize("dim", [0, 1])
 def test_sum_issue1(dim, device):

trident/kernel/geglu.py

@@ -150,6 +150,7 @@ def backward(
         m_size: tl.int32,
         n_size: tl.int32,
         x_size: tl.int32,
+        dtype: tl.constexpr,
         x_block_size: tl.constexpr,
     ):
         pid = tl.program_id(0)
@@ -202,5 +203,5 @@ def backward(
         gate = tl.load(gate_block_ptr, boundary_check=(1,))
         grad_state = grad_output * language.math.GELU.forward(gate)
         grad_gate = language.math.GELU.backward(grad_output * state, gate)
-        tl.store(grad_state_block_ptr, grad_state, boundary_check=(1,))
-        tl.store(grad_gate_block_ptr, grad_gate, boundary_check=(1,))
+        tl.store(grad_state_block_ptr, grad_state.to(dtype), boundary_check=(1,))
+        tl.store(grad_gate_block_ptr, grad_gate.to(dtype), boundary_check=(1,))

trident/kernel/prelu.py

@@ -102,6 +102,7 @@ def backward(
         batch_stride: tl.int32,
         y_stride: tl.int32,
         x_stride: tl.int32,
+        dtype: tl.constexpr,
         y_block_size: tl.constexpr,
         x_block_size: tl.constexpr,
     ):
@@ -162,5 +163,5 @@ def backward(
         grad_output = tl.load(grad_output_block_ptr, boundary_check=(1, 2))
         grad_input = language.math.LeakyReLU.backward(grad_output, input, weight)
         grad_weight = grad_output * tl.where(input > 0, 0, input)
-        tl.store(grad_input_block_ptr, grad_input, boundary_check=(1, 2))
-        tl.store(grad_weight_staging_block_ptr, grad_weight, boundary_check=(1, 2))
+        tl.store(grad_input_block_ptr, grad_input.to(dtype), boundary_check=(1, 2))
+        tl.store(grad_weight_staging_block_ptr, grad_weight.to(dtype), boundary_check=(1, 2))

trident/operation/geglu.py

@@ -99,7 +99,14 @@ def grid(meta):
 
         util.push_trace("kernel.GEGLU.backward")
         kernel.GEGLU.backward[grid](
-            grad_state_gate, grad_output, state_gate, m_size, n_size, x_size, triton.next_power_of_2(x_size)
+            grad_state_gate,
+            grad_output,
+            state_gate,
+            m_size,
+            n_size,
+            x_size,
+            util.dtype(state_gate.dtype),
+            triton.next_power_of_2(x_size),
         )
         util.pop_trace()
 

trident/operation/prelu.py

@@ -95,6 +95,7 @@ def grid(meta):
             grad_input.stride(0),
             grad_input.stride(1),
             grad_input.stride(2),
+            util.dtype(grad_input.dtype),
         )
         util.pop_trace()