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Preserve subnormal float values when casting to bool #4224

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c071987
metal: fix subnormal float conversion to bool in copy and reduction k…
reckylurker Aug 13, 2026
dd1b57d
refactor(metal): rename mlx_cast to cast_to and remove half specializ…
reckylurker Aug 15, 2026
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46 changes: 23 additions & 23 deletions mlx/backend/metal/kernels/copy.h
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Original file line number Diff line number Diff line change
Expand Up @@ -9,11 +9,11 @@ template <typename T, typename U, int N = WorkPerThread<U>::n>
index *= N;
if (N > 1 && index + N > size) {
for (int i = 0; index + i < size; ++i) {
dst[index + i] = static_cast<U>(src[0]);
dst[index + i] = cast_to<U>(src[0]);
}
} else {
for (int i = 0; i < N; ++i) {
dst[index + i] = static_cast<U>(src[0]);
dst[index + i] = cast_to<U>(src[0]);
}
}
}
Expand All @@ -27,11 +27,11 @@ template <typename T, typename U, int N = WorkPerThread<U>::n>
index *= N;
if (N > 1 && index + N > size) {
for (int i = 0; index + i < size; ++i) {
dst[index + i] = static_cast<U>(src[index + i]);
dst[index + i] = cast_to<U>(src[index + i]);
}
} else {
for (int i = 0; i < N; ++i) {
dst[index + i] = static_cast<U>(src[index + i]);
dst[index + i] = cast_to<U>(src[index + i]);
}
}
}
Expand All @@ -46,11 +46,11 @@ template <typename T, typename U, int N = WorkPerThread<U>::n>
int64_t offset = N * (index.x + grid_dim.x * int64_t(index.y));
if (N > 1 && offset + N > size) {
for (int i = 0; offset + i < size; ++i) {
dst[offset + i] = static_cast<U>(src[0]);
dst[offset + i] = cast_to<U>(src[0]);
}
} else {
for (int i = 0; i < N; ++i) {
dst[offset + i] = static_cast<U>(src[0]);
dst[offset + i] = cast_to<U>(src[0]);
}
}
}
Expand All @@ -65,11 +65,11 @@ template <typename T, typename U, int N = WorkPerThread<U>::n>
int64_t offset = N * (index.x + grid_dim.x * int64_t(index.y));
if (N > 1 && offset + N > size) {
for (int i = 0; offset + i < size; ++i) {
dst[offset + i] = static_cast<U>(src[offset + i]);
dst[offset + i] = cast_to<U>(src[offset + i]);
}
} else {
for (int i = 0; i < N; ++i) {
dst[offset + i] = static_cast<U>(src[offset + i]);
dst[offset + i] = cast_to<U>(src[offset + i]);
}
}
}
Expand All @@ -81,7 +81,7 @@ template <typename T, typename U, typename IdxT = int64_t>
constant const int64_t& src_stride [[buffer(3)]],
uint index [[thread_position_in_grid]]) {
auto src_idx = elem_to_loc_1<IdxT>(index, src_stride);
dst[index] = static_cast<U>(src[src_idx]);
dst[index] = cast_to<U>(src[src_idx]);
}

template <typename T, typename U, typename IdxT = int64_t>
Expand All @@ -93,7 +93,7 @@ template <typename T, typename U, typename IdxT = int64_t>
uint2 grid_dim [[threads_per_grid]]) {
auto src_idx = elem_to_loc_2<IdxT>(index, src_strides);
IdxT dst_idx = index.x + IdxT(grid_dim.x) * index.y;
dst[dst_idx] = static_cast<U>(src[src_idx]);
dst[dst_idx] = cast_to<U>(src[src_idx]);
}

template <typename T, typename U, typename IdxT = int64_t>
Expand All @@ -106,7 +106,7 @@ template <typename T, typename U, typename IdxT = int64_t>
auto src_idx = elem_to_loc_3<IdxT>(index, src_strides);
IdxT dst_idx =
index.x + IdxT(grid_dim.x) * (index.y + IdxT(grid_dim.y) * index.z);
dst[dst_idx] = static_cast<U>(src[src_idx]);
dst[dst_idx] = cast_to<U>(src[src_idx]);
}

template <typename T, typename U, int N = 1, typename IdxT = int64_t>
Expand All @@ -123,14 +123,14 @@ template <typename T, typename U, int N = 1, typename IdxT = int64_t>
if (N == 1) {
IdxT dst_idx =
index.x + grid_dim.x * (index.y + IdxT(grid_dim.y) * index.z);
dst[dst_idx] = static_cast<U>(src[src_idx]);
dst[dst_idx] = cast_to<U>(src[src_idx]);
return;
}
auto xshape = src_shape[ndim - 1];
IdxT dst_idx = N * index.x + xshape * (index.y + IdxT(grid_dim.y) * index.z);
auto src_xstride = src_strides[ndim - 1];
for (int i = 0; i < N && (int(N * index.x) + i) < xshape; ++i) {
dst[dst_idx + i] = static_cast<U>(src[src_idx]);
dst[dst_idx + i] = cast_to<U>(src[src_idx]);
src_idx += src_xstride;
}
}
Expand All @@ -144,7 +144,7 @@ template <typename T, typename U, typename IdxT = int64_t>
uint index [[thread_position_in_grid]]) {
auto src_idx = elem_to_loc_1<IdxT>(index, src_stride);
auto dst_idx = elem_to_loc_1<IdxT>(index, dst_stride);
dst[dst_idx] = static_cast<U>(src[src_idx]);
dst[dst_idx] = cast_to<U>(src[src_idx]);
}

template <typename T, typename U, typename IdxT = int64_t>
Expand All @@ -156,7 +156,7 @@ template <typename T, typename U, typename IdxT = int64_t>
uint2 index [[thread_position_in_grid]]) {
auto src_idx = elem_to_loc_2<IdxT>(index, src_strides);
auto dst_idx = elem_to_loc_2<IdxT>(index, dst_strides);
dst[dst_idx] = static_cast<U>(src[src_idx]);
dst[dst_idx] = cast_to<U>(src[src_idx]);
}

template <typename T, typename U, typename IdxT = int64_t>
Expand All @@ -168,7 +168,7 @@ template <typename T, typename U, typename IdxT = int64_t>
uint3 index [[thread_position_in_grid]]) {
auto src_idx = elem_to_loc_3<IdxT>(index, src_strides);
auto dst_idx = elem_to_loc_3<IdxT>(index, dst_strides);
dst[dst_idx] = static_cast<U>(src[src_idx]);
dst[dst_idx] = cast_to<U>(src[src_idx]);
}

template <typename T, typename U, int N = 1, typename IdxT = int64_t>
Expand All @@ -187,14 +187,14 @@ template <typename T, typename U, int N = 1, typename IdxT = int64_t>
dst_strides,
ndim);
if (N == 1) {
dst[idx.y] = static_cast<U>(src[idx.x]);
dst[idx.y] = cast_to<U>(src[idx.x]);
return;
}
IdxT src_xstride = src_strides[ndim - 1];
IdxT dst_xstride = dst_strides[ndim - 1];
auto xshape = src_shape[ndim - 1];
for (int i = 0; i < N && (int(N * index.x) + i) < xshape; ++i) {
dst[idx.y] = static_cast<U>(src[idx.x]);
dst[idx.y] = cast_to<U>(src[idx.x]);
idx.x += src_xstride;
idx.y += dst_xstride;
}
Expand All @@ -211,7 +211,7 @@ template <typename T, typename U, typename IdxT = int64_t>
uint index [[thread_position_in_grid]]) {
auto src_idx = elem_to_loc_1<IdxT>(index, src_stride);
auto dst_idx = elem_to_loc_1<IdxT>(index, dst_stride);
dst[dst_idx + dst_offset] = src[src_idx + src_offset];
dst[dst_idx + dst_offset] = cast_to<U>(src[src_idx + src_offset]);
}

template <typename T, typename U, typename IdxT = int64_t>
Expand All @@ -225,7 +225,7 @@ template <typename T, typename U, typename IdxT = int64_t>
uint2 index [[thread_position_in_grid]]) {
auto src_idx = elem_to_loc_2<IdxT>(index, src_strides);
auto dst_idx = elem_to_loc_2<IdxT>(index, dst_strides);
dst[dst_idx + dst_offset] = src[src_idx + src_offset];
dst[dst_idx + dst_offset] = cast_to<U>(src[src_idx + src_offset]);
}

template <typename T, typename U, typename IdxT = int64_t>
Expand All @@ -239,7 +239,7 @@ template <typename T, typename U, typename IdxT = int64_t>
uint3 index [[thread_position_in_grid]]) {
auto src_idx = elem_to_loc_3<IdxT>(index, src_strides);
auto dst_idx = elem_to_loc_3<IdxT>(index, dst_strides);
dst[dst_idx + dst_offset] = src[src_idx + src_offset];
dst[dst_idx + dst_offset] = cast_to<U>(src[src_idx + src_offset]);
}

template <typename T, typename U, int N = 1, typename IdxT = int64_t>
Expand All @@ -262,14 +262,14 @@ template <typename T, typename U, int N = 1, typename IdxT = int64_t>
dst_strides,
ndim);
if (N == 1) {
dst[idx.y] = src[idx.x];
dst[idx.y] = cast_to<U>(src[idx.x]);
return;
}
IdxT src_xstride = src_strides[ndim - 1];
IdxT dst_xstride = dst_strides[ndim - 1];
auto xshape = src_shape[ndim - 1];
for (int i = 0; i < N && (int(N * index.x) + i) < xshape; ++i) {
dst[idx.y] = src[idx.x];
dst[idx.y] = cast_to<U>(src[idx.x]);
idx.x += src_xstride;
idx.y += dst_xstride;
}
Expand Down
4 changes: 2 additions & 2 deletions mlx/backend/metal/kernels/reduction/reduce_all.h
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Original file line number Diff line number Diff line change
Expand Up @@ -37,13 +37,13 @@ template <

for (IdxT b = 0; b < blocks; b++) {
for (int i = 0; i < N_READS; i++) {
total = op(static_cast<U>(in[i]), total);
total = op(cast_to<U>(in[i]), total);
}
in += lsize.x * N_READS;
}
if (extra > 0) {
for (int i = 0; i < extra; i++) {
total = op(static_cast<U>(in[i]), total);
total = op(cast_to<U>(in[i]), total);
}
}

Expand Down
14 changes: 7 additions & 7 deletions mlx/backend/metal/kernels/reduction/reduce_col.h
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Original file line number Diff line number Diff line change
Expand Up @@ -43,13 +43,13 @@ template <typename T, typename U, typename Op, typename IdxT, int NDIMS>
row = in + loop.location();
if (safe) {
for (int i = 0; i < n_reads; i++) {
totals[i] = op(static_cast<U>(row[i]), totals[i]);
totals[i] = op(cast_to<U>(row[i]), totals[i]);
}
} else {
U vals[n_reads];
for (int i = 0; i < n_reads; i++) {
vals[i] =
(column + i < reduction_stride) ? static_cast<U>(row[i]) : op.init;
(column + i < reduction_stride) ? cast_to<U>(row[i]) : op.init;
}
for (int i = 0; i < n_reads; i++) {
totals[i] = op(vals[i], totals[i]);
Expand Down Expand Up @@ -125,7 +125,7 @@ template <typename T, typename U, typename Op, typename IdxT, int NDIMS>
for (IdxT r = gid.z * lsize.y + lid.y; r < total_rows;
r += lsize.y * gsize.z) {
row = in + loop.location();
total = op(static_cast<U>(*row), total);
total = op(cast_to<U>(*row), total);
loop.next(lsize.y * gsize.z, reduce_shape, reduce_strides);
}

Expand Down Expand Up @@ -207,13 +207,13 @@ template <

if (safe) {
for (int i = 0; i < n_reads; i++) {
totals[i] = op(static_cast<U>(row[i]), totals[i]);
totals[i] = op(cast_to<U>(row[i]), totals[i]);
}
} else {
U vals[n_reads];
for (int i = 0; i < n_reads; i++) {
vals[i] =
(column + i < reduction_stride) ? static_cast<U>(row[i]) : op.init;
(column + i < reduction_stride) ? cast_to<U>(row[i]) : op.init;
}
for (int i = 0; i < n_reads; i++) {
totals[i] = op(vals[i], totals[i]);
Expand Down Expand Up @@ -352,13 +352,13 @@ template <

if (safe) {
for (int i = 0; i < n_reads; i++) {
totals[i] = op(static_cast<U>(row[i]), totals[i]);
totals[i] = op(cast_to<U>(row[i]), totals[i]);
}
} else {
U vals[n_reads];
for (int i = 0; i < n_reads; i++) {
vals[i] =
(column + i < reduction_stride) ? static_cast<U>(row[i]) : op.init;
(column + i < reduction_stride) ? cast_to<U>(row[i]) : op.init;
}
for (int i = 0; i < n_reads; i++) {
totals[i] = op(vals[i], totals[i]);
Expand Down
6 changes: 3 additions & 3 deletions mlx/backend/metal/kernels/reduction/reduce_row.h
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Original file line number Diff line number Diff line change
Expand Up @@ -34,7 +34,7 @@ METAL_FUNC void per_thread_row_reduce(
for (int i = 0; i < blocks; i++) {
for (int j = 0; j < N_WRITES; j++) {
for (int i = 0; i < N_READS; i++) {
totals[j] = op(static_cast<U>(inputs[j][i]), totals[j]);
totals[j] = op(cast_to<U>(inputs[j][i]), totals[j]);
}

inputs[j] += lsize_x * N_READS;
Expand All @@ -46,13 +46,13 @@ METAL_FUNC void per_thread_row_reduce(
if (index + N_READS <= extra) {
for (int j = 0; j < N_WRITES; j++) {
for (int i = 0; i < N_READS; i++) {
totals[j] = op(static_cast<U>(inputs[j][i]), totals[j]);
totals[j] = op(cast_to<U>(inputs[j][i]), totals[j]);
}
}
} else {
for (int j = 0; j < N_WRITES; j++) {
for (int i = 0; index + i < extra; i++) {
totals[j] = op(static_cast<U>(inputs[j][i]), totals[j]);
totals[j] = op(cast_to<U>(inputs[j][i]), totals[j]);
}
}
}
Expand Down
24 changes: 24 additions & 0 deletions mlx/backend/metal/kernels/utils.h
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Original file line number Diff line number Diff line change
Expand Up @@ -446,3 +446,27 @@ template <typename T, typename U>
struct ConditionalType<true, T, U> {
using type = T;
};

///////////////////////////////////////////////////////////////////////////////
// Type casting utils
///////////////////////////////////////////////////////////////////////////////

template <typename U, typename T>
inline U cast_to(T val) {
return static_cast<U>(val);
}

template <>
inline bool cast_to<bool, float>(float val) {
return (as_type<uint32_t>(val) & 0x7FFFFFFF) != 0;
}

template <>
inline bool cast_to<bool, bfloat16_t>(bfloat16_t val) {
return (as_type<uint16_t>(val) & 0x7FFF) != 0;
}

template <>
inline bool cast_to<bool, complex64_t>(complex64_t val) {
return cast_to<bool, float>(val.real) || cast_to<bool, float>(val.imag);
}
15 changes: 15 additions & 0 deletions python/tests/test_ops.py
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Original file line number Diff line number Diff line change
Expand Up @@ -1299,6 +1299,21 @@ def test_any(self):
self.assertEqual(mx.any(a, axis=0).tolist(), [True, False])
self.assertEqual(mx.any(a, axis=1).tolist(), [True, False])

def test_subnormal_bool_cast(self):
f32_sub = mx.array(np.array([0x00000001], dtype=np.uint32)).view(mx.float32)
f16_sub = mx.array(np.array([0x0001], dtype=np.uint16)).view(mx.float16)
bf16_sub = mx.array(np.array([0x0001], dtype=np.uint16)).view(mx.bfloat16)

self.assertTrue(f32_sub.astype(mx.bool_).item())
self.assertTrue(f16_sub.astype(mx.bool_).item())
self.assertTrue(bf16_sub.astype(mx.bool_).item())
self.assertTrue(mx.any(f32_sub).item())
self.assertTrue(mx.any(f16_sub).item())
self.assertTrue(mx.any(bf16_sub).item())
self.assertTrue(mx.all(f32_sub).item())
self.assertTrue(mx.all(f16_sub).item())
self.assertTrue(mx.all(bf16_sub).item())

def test_stop_gradient(self):
def func(x):
return mx.sum(2 * x + mx.stop_gradient(3 * x))
Expand Down
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