cubek-convolution 0.3.0-pre.4

CubeK: Convolution Kernels
Documentation
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
use cubecl::{
    calculate_cube_count_elemwise,
    client::Client,
    num_traits::Zero,
    prelude::*,
    std::tensor::layout::linear::{LinearViewMut, linear_view},
    std::{FastDivmod, FastDivmodInt},
    tensor_vector_size_parallel,
};

use crate::{components::ConvSetupError, launch::ConvolutionArgs};

#[cube]
fn decompose_linear<I: FastDivmodInt>(pos: I, shape: &Sequence<FastDivmod<I>>) -> (I, Sequence<I>) {
    let rank = comptime![shape.len()];
    let mut offs = pos;
    let mut out = Sequence::new();

    #[unroll]
    for i in 0..rank {
        let dim = comptime![rank - i - 1];
        let (rem, offs_local) = shape.index(dim).div_mod(offs);
        out.push(offs_local);
        offs = rem;
    }

    (offs, out.reversed())
}

#[derive(CubeLaunch, CubeType, Clone)]
pub(crate) struct ConvParam {
    pub stride: u32,
    pub dilation: u32,
    pub padding: i32,
}

#[derive(CubeLaunch, CubeType)]
struct Conv2dArgs {
    conv_params: Sequence<ConvParam>,
    channels_per_group: u32,
}

#[cube(launch_unchecked, address_type = "dynamic")]
#[allow(clippy::redundant_closure)]
fn direct_conv2d_kernel<E: Numeric, NIn: Size, NOut: Size>(
    input: &Tensor<Vector<E, NIn>>,
    weight: &Tensor<Vector<E, NIn>>,
    bias: ComptimeOption<&[Vector<E, NOut>]>,
    mut output: LinearViewMut<'_, Vector<E, NOut>>,
    args: Conv2dArgs,
    shape_out: Sequence<FastDivmod<u32>>,
    shape_out_c: FastDivmod<u32>,
    #[comptime] has_padding: bool,
    #[comptime] accumulate_lanes: bool,
    #[define(E)] _dtype: ElemType,
) {
    if !output.is_in_bounds(ABSOLUTE_POS) {
        terminate!();
    }

    let n_spatial = comptime![shape_out.len()];

    let vector_size_out = output.vector_size();
    let pos = ABSOLUTE_POS * vector_size_out;

    let in_c_per_group = weight.shape(weight.rank() - 1) as u32;

    let (rem, out_c) = shape_out_c.div_mod(pos as u32);
    let (b, spatial_pos) = decompose_linear(rem, &shape_out);

    let g = out_c / args.channels_per_group;
    let ic_start = in_c_per_group * g;

    let bias: ComptimeOption<Vector<E, NOut>> =
        bias.map(|bias| bias[out_c as usize / vector_size_out]);
    let mut sum = bias.unwrap_or_else(|| Vector::zero());

    let in_offs = b as usize * input.stride(0) + ic_start as usize;

    let stride_oc = weight.stride(0);

    let mut in_shape = Sequence::new();
    let mut in_strides = Sequence::new();
    let mut kernel_shape = Sequence::new();
    let mut kernel_strides = Sequence::new();

    #[unroll]
    for i in 0..n_spatial {
        in_shape.push(input.shape(i + 1) as u32);
        in_strides.push(input.stride(i + 1));
        kernel_shape.push(weight.shape(i + 1) as u32);
        kernel_strides.push(weight.stride(i + 1));
    }

    let weight_offs = out_c as usize * stride_oc;

    let loop_params = LoopParams {
        out_pos: spatial_pos,
        in_shape,
        in_strides,
        kernel_shape,
        kernel_strides,
        conv_params: args.conv_params,
        in_c_per_group,
        stride_oc,
    };

    kernel_loop(
        input,
        weight,
        &mut sum,
        in_offs,
        true,
        weight_offs,
        &loop_params,
        0usize,
        has_padding,
        accumulate_lanes,
    );

    output.write(ABSOLUTE_POS, sum);
}

#[derive(CubeType, Clone)]
struct LoopParams {
    out_pos: Sequence<u32>,
    in_shape: Sequence<u32>,
    in_strides: Sequence<usize>,
    kernel_shape: Sequence<u32>,
    kernel_strides: Sequence<usize>,
    conv_params: Sequence<ConvParam>,

    in_c_per_group: u32,
    stride_oc: usize,
}

#[cube]
fn kernel_loop<E: Numeric, NIn: Size, NOut: Size>(
    input: &Tensor<Vector<E, NIn>>,
    weight: &Tensor<Vector<E, NIn>>,
    sum: &mut Vector<E, NOut>,
    in_offs: usize,
    in_bounds: bool,
    weight_offs: usize,
    params: &LoopParams,
    #[comptime] kernel_dim: usize,
    #[comptime] has_padding: bool,
    #[comptime] accumulate_lanes: bool,
) {
    if comptime![kernel_dim < params.kernel_shape.len()] {
        let out_idx = *params.out_pos.index(kernel_dim);
        let conv = params.conv_params.index(kernel_dim);
        let shape = *params.in_shape.index(kernel_dim);
        let stride = *params.in_strides.index(kernel_dim);
        let k_stride = *params.kernel_strides.index(kernel_dim);

        for pos in 0..*params.kernel_shape.index(kernel_dim) {
            let in_pos = (out_idx * conv.stride + pos * conv.dilation) as i32 - conv.padding;
            let in_offs = in_offs + in_pos as usize * stride;
            let weight_offs = weight_offs + pos as usize * k_stride;
            let mut in_bounds = in_bounds;

            if has_padding {
                in_bounds &= in_pos >= 0 && (in_pos as u32) < shape;
            }

            kernel_loop(
                input,
                weight,
                sum,
                in_offs,
                in_bounds,
                weight_offs,
                params,
                comptime![kernel_dim + 1],
                has_padding,
                accumulate_lanes,
            );
        }
    } else {
        kernel_loop_inner(
            input,
            weight,
            sum,
            in_offs,
            in_bounds,
            weight_offs,
            params.in_c_per_group,
            params.stride_oc,
            accumulate_lanes,
        );
    }
}

#[cube]
fn kernel_loop_inner<E: Numeric, NIn: Size, NOut: Size>(
    input: &Tensor<Vector<E, NIn>>,
    weight: &Tensor<Vector<E, NIn>>,
    sum: &mut Vector<E, NOut>,
    in_offs: usize,
    in_bounds: bool,
    weight_offs: usize,
    in_c_per_group: u32,
    stride_oc: usize,
    #[comptime] accumulate_lanes: bool,
) {
    if in_bounds {
        if accumulate_lanes {
            accumulate_in_lanes(
                input,
                weight,
                sum,
                in_offs,
                weight_offs,
                in_c_per_group,
                stride_oc,
            );
        } else {
            accumulate_per_step(
                input,
                weight,
                sum,
                in_offs,
                weight_offs,
                in_c_per_group,
                stride_oc,
            );
        }
    }
}

/// One input read per output channel buys a channel loop with no dependency chain.
#[cube]
fn accumulate_in_lanes<E: Numeric, NIn: Size, NOut: Size>(
    input: &Tensor<Vector<E, NIn>>,
    weight: &Tensor<Vector<E, NIn>>,
    sum: &mut Vector<E, NOut>,
    in_offs: usize,
    weight_offs: usize,
    in_c_per_group: u32,
    stride_oc: usize,
) {
    let vector_size_in = input.vector_size();
    let vector_size_out = sum.vector_size();

    #[unroll]
    for v in 0..vector_size_out {
        let mut lanes = Vector::<E, NIn>::zero();
        let weight_offs = weight_offs + v * stride_oc;

        for in_c in range_stepped(0, in_c_per_group, vector_size_in as u32) {
            let val = input[(in_offs + in_c as usize) / vector_size_in];

            lanes += val * weight[(weight_offs + in_c as usize) / vector_size_in];
        }

        let mut channel = sum.extract(v);

        #[unroll]
        for i in 0..vector_size_in {
            channel += lanes.extract(i);
        }

        sum.insert(v, channel);
    }
}

/// One input read serves every output channel, which is all a one-step channel loop can win.
#[cube]
fn accumulate_per_step<E: Numeric, NIn: Size, NOut: Size>(
    input: &Tensor<Vector<E, NIn>>,
    weight: &Tensor<Vector<E, NIn>>,
    sum: &mut Vector<E, NOut>,
    in_offs: usize,
    weight_offs: usize,
    in_c_per_group: u32,
    stride_oc: usize,
) {
    let vector_size_in = input.vector_size();
    let vector_size_out = sum.vector_size();

    for in_c in range_stepped(0, in_c_per_group, vector_size_in as u32) {
        let in_pos = in_offs + in_c as usize;
        let mut weight_pos = weight_offs + in_c as usize;

        let val = input[in_pos / vector_size_in];

        #[unroll]
        for v in 0..vector_size_out {
            let weight = weight[weight_pos / vector_size_in];
            let val = val * weight;

            #[unroll]
            for i in 0..vector_size_in {
                sum.insert(v, sum.extract(v) + val.extract(i));
            }
            weight_pos += stride_oc;
        }
    }
}

pub struct DirectTensors {
    pub input: TensorBinding,
    pub weight: TensorBinding,
    pub bias: Option<TensorBinding>,
    pub out: TensorBinding,
}

/// Runs a direct convolution over `N` spatial dimensions.
pub fn launch_direct<const N: usize>(
    client: &Client,
    tensors: DirectTensors,
    args: ConvolutionArgs<N>,
    groups: usize,
    dtype: ElemType,
) -> Result<(), ConvSetupError> {
    let DirectTensors {
        input,
        weight,
        bias,
        out,
    } = tensors;

    let rank = input.shape.len();
    let dim_c = rank - 1;

    let in_shape = &input.shape[1..dim_c];
    let out_channels = weight.shape[0];
    let kernel_shape = &weight.shape[1..dim_c];
    let out_size = &out.shape[1..dim_c];

    let channels_per_group = out_channels / groups;
    let check_spatial_bounds = should_check_spatial_bounds(in_shape, kernel_shape, out_size, &args);

    // Need custom vector size calculation here to account for the groups division. Need to vectorize
    // over `channels_per_group` instead.
    let mut grouped_out_shape = out.shape.clone();
    grouped_out_shape[dim_c] = channels_per_group;
    let vector_size_out = tensor_vector_size_parallel(
        client.io_optimized_vector_sizes(dtype.size()),
        &grouped_out_shape,
        &out.strides,
        dim_c,
    );
    // Use channels_per_group instead of in_channels to avoid issues here
    let vector_size_in = tensor_vector_size_parallel(
        client.io_optimized_vector_sizes(dtype.size()),
        &weight.shape,
        &weight.strides,
        weight.shape.len() - 1,
    );

    // Only a single-unit plane pays the dependency chain in full; a wide plane hides it and is
    // left with the extra input read per output channel. One lane is exactly as serial as `sum`,
    // and a channel loop of one step has nothing to amortize the fold over.
    let accumulate_lanes = client.properties().hardware.plane_size_max == 1
        && vector_size_in > 1
        && weight.shape[dim_c] > vector_size_in as usize;

    let shape_out = out.shape[1..dim_c].iter().map(|s| *s as u32).collect();
    let shape_out_c = out_channels as u32;

    let mut conv_params = SequenceArg::new();

    for i in 0..kernel_shape.len() {
        conv_params.push(ConvParamLaunch::new(
            args.stride[i] as u32,
            args.dilation[i] as u32,
            args.padding[i] as i32,
        ));
    }

    let working_units = out.shape.iter().product::<usize>() / vector_size_out as usize;
    let cube_dim = CubeDim::new(client, working_units);
    let cube_count = calculate_cube_count_elemwise(client, working_units, cube_dim);

    let address_type = input
        .required_address_type(dtype.size())
        .max(weight.required_address_type(dtype.size()))
        .max(out.required_address_type(dtype.size()));

    unsafe {
        direct_conv2d_kernel::launch_unchecked(
            client,
            cube_count,
            cube_dim,
            address_type,
            vector_size_in,
            vector_size_out,
            input.into_tensor_arg(),
            weight.into_tensor_arg(),
            bias.map(|b| b.into_buffer_arg()).into(),
            linear_view(out),
            Conv2dArgsLaunch::new(conv_params, channels_per_group as u32),
            shape_out,
            shape_out_c,
            check_spatial_bounds,
            accumulate_lanes,
            dtype,
        )
    };

    Ok(())
}

fn should_check_spatial_bounds<const N: usize>(
    in_shape: &[usize],
    kernel_shape: &[usize],
    out_shape: &[usize],
    args: &ConvolutionArgs<N>,
) -> bool {
    (0..N).any(|dim| {
        let begin = args.padding[dim] as i64;
        let first = -begin;
        let last = (out_shape[dim] as i64 - 1) * args.stride[dim] as i64
            + (kernel_shape[dim] as i64 - 1) * args.dilation[dim] as i64
            - begin;
        first < 0 || last >= in_shape[dim] as i64
    })
}