desk2/client/wasm/lod.c

#include <wasm_simd128.h>

extern char __heap_base;

static int allocated_static;
static int allocated_dynamic;

void
set_sp(char *sp)
{
    __asm__ __volatile__(
        ".globaltype __stack_pointer, i32\n"
        "local.get %0\n"
        "global.set __stack_pointer\n"
        : : "r"(sp)
    );
}

void
free_static(void)
{
    allocated_static = 0;
}

void
free_dynamic(void)
{
    allocated_dynamic = 0;
}

void *
alloc_static(int size)
{
    // This IS NOT thread-safe
    void *result = &__heap_base + allocated_static;
    allocated_static += size;
    return(result);
}

static int
round_to_pow2(int value, int multiple)
{
    return((value + multiple - 1) & -multiple);
}

void *
alloc_dynamic(int size)
{
    // Very ad-van-ced thread-safe allocator
    // CAN be called from multiple threads
    size = round_to_pow2(size, 4);
    int original_allocated_dynamic = __atomic_fetch_add(&allocated_dynamic, size, __ATOMIC_SEQ_CST);
    void *result = &__heap_base + allocated_static + original_allocated_dynamic;
    return(result);
}

static int
rdp_find_max(float *xs, float *ys, unsigned char *pressures, float zoom, int coords_from, 
             int segment_start, int segment_end)
{
    int result = -1;

    if (segment_start == segment_end) {
        return(result);
    }

    float EPS = 0.125f / zoom * 255.0f;
    float max_dist = 0.0f;

    float ax = xs[coords_from + segment_start];
    float ay = ys[coords_from + segment_start];
    float bx = xs[coords_from + segment_end];
    float by = ys[coords_from + segment_end];

    unsigned char ap = pressures[coords_from / 2 + segment_start];
    unsigned char bp = pressures[coords_from / 2 + segment_end];

    float dx = bx - ax;
    float dy = by - ay;
    
    float dist_ab = __builtin_sqrtf(dx * dx + dy * dy);
    float dir_nx = dy / dist_ab * 255.0f;
    float dir_ny = -dx / dist_ab * 255.0f;

#if 0
    // Scalar version preserved for reference

    for (int i = segment_start + 1; i < segment_end; ++i) {
        float px = xs[coords_from + i];
        float py = ys[coords_from + i];

        unsigned char pp = pressures[coords_from + i];

        float apx = px - ax;
        float apy = py - ay;

        float dist = __builtin_fabsf(apx * dir_nx + apy * dir_ny)
            + __builtin_abs(pp - ap) + __builtin_abs(pp - bp);

        if (dist > EPS && dist > max_dist) {
            result = i;
            max_dist = dist;
        }
    }
#else
    v128_t ax_x4 = wasm_f32x4_splat(ax);
    v128_t ay_x4 = wasm_f32x4_splat(ay);
    v128_t ap_x4 = wasm_f32x4_splat(ap);
    v128_t bp_x4 = wasm_f32x4_splat(bp);
    v128_t dir_nx_x4 = wasm_f32x4_splat(dir_nx);
    v128_t dir_ny_x4 = wasm_f32x4_splat(dir_ny);

    v128_t index_x4 = wasm_u32x4_make(segment_start + 1, segment_start + 2, segment_start + 3, segment_start + 4);
    v128_t four_x4 = wasm_u32x4_const_splat(4);
    v128_t max_dist_x4 = wasm_f32x4_splat(EPS);
    v128_t max_index_x4 = wasm_u32x4_const_splat(-1);

    for (int i = segment_start + 1; i < segment_end - 3; i += 4) {
        v128_t px_x4 = wasm_v128_load(xs + coords_from + i);
        v128_t py_x4 = wasm_v128_load(ys + coords_from + i);

        v128_t pp_x4 = wasm_f32x4_make(
            pressures[coords_from / 2 + i + 0],
            pressures[coords_from / 2 + i + 1],
            pressures[coords_from / 2 + i + 2],
            pressures[coords_from / 2 + i + 3]
        );

        v128_t apx_x4 = wasm_f32x4_sub(px_x4, ax_x4);
        v128_t apy_x4 = wasm_f32x4_sub(py_x4, ay_x4);

        v128_t dist_x4 = wasm_f32x4_add(
            wasm_f32x4_add(
                wasm_f32x4_abs(wasm_f32x4_sub(pp_x4, ap_x4)),
                wasm_f32x4_abs(wasm_f32x4_sub(pp_x4, bp_x4))
            ),
            wasm_f32x4_abs(
                wasm_f32x4_add(
                    wasm_f32x4_mul(apx_x4, dir_nx_x4),
                    wasm_f32x4_mul(apy_x4, dir_ny_x4)
                )
            )
        );
        
        v128_t mask = wasm_f32x4_gt(dist_x4, max_dist_x4);

        max_index_x4 = wasm_v128_bitselect(index_x4, max_index_x4, mask);
        max_dist_x4 = wasm_v128_bitselect(dist_x4, max_dist_x4, mask);
        
        index_x4 = wasm_i32x4_add(index_x4, four_x4);
    }

    int indices[4];
    float values[4];

    wasm_v128_store(indices, max_index_x4);
    wasm_v128_store(values, max_dist_x4);

    for (int i = 0; i < 4; ++i) {
        if (indices[i] != -1) {
            if (values[i] > max_dist) {
                result = indices[i];
                max_dist = values[i];
            }
        }
    }

    if (max_dist == EPS) {
        max_dist = 0.0f;
        result = -1;
    }

    int remainder = (segment_end - segment_start - 1) % 4;

    for (int i = segment_end - remainder; i < segment_end; ++i) {
        float px = xs[coords_from + i];
        float py = ys[coords_from + i];

        unsigned char pp = pressures[coords_from + i];

        float apx = px - ax;
        float apy = py - ay;

        float dist = __builtin_fabsf(apx * dir_nx + apy * dir_ny)
            + __builtin_abs(pp - ap) + __builtin_abs(pp - bp);

        if (dist > EPS && dist > max_dist) {
            result = i;
            max_dist = dist;
        }
    }
#endif

    return(result);
}

void
do_lod(int *clipped_indices, int clipped_count, float zoom, 
       int *stroke_coords_from,
       int *width,
       float *xs,
       float *ys,
       unsigned char *pressures,
       char **result_buffer,
       int *result_count,
       int *result_batch_count)
{
    if (clipped_count == 0) {
        result_count[0] = 0;
        return;
    }

    int first_stroke = clipped_indices[0];
    int last_stroke = clipped_indices[clipped_count - 1];
    int total_points = 0;

    for (int i = 0; i < clipped_count; ++i) {
        int stroke_index = clipped_indices[i];
        total_points += stroke_coords_from[stroke_index + 1] - stroke_coords_from[stroke_index];
    }

    int *segments_from = alloc_dynamic((clipped_count + 1) * 4);
    int *segments = alloc_dynamic(total_points * 4); // TODO: this is a very conservative estimate, we can lower memory usage if we get this tighter
    
    int segments_head = 0;
    int stack[4096]; // TODO: what's a reasonable max size for this?
    int max_stack_size = 0;
    
    for (int i = 0; i < clipped_count; ++i) {
        int stroke_index = clipped_indices[i];
        
        // TODO: convert to a proper CSR, save half the memory
        int coords_from = stroke_coords_from[stroke_index];
        int coords_to = stroke_coords_from[stroke_index + 1];
        
        int point_count = coords_to - coords_from;
        
        // Basic CSR crap
        segments_from[i] = segments_head;
        
        int segment_count = 2;
        int stack_head = 0;
        
        segments[segments_head++] = 0;
        
        stack[stack_head++] = 0;
        stack[stack_head++] = 0;
        stack[stack_head++] = point_count - 1;
        
        while (stack_head > 0) {
            if (stack_head > max_stack_size) { max_stack_size = stack_head; }
            int end = stack[--stack_head];
            int start = stack[--stack_head];
            int type = stack[--stack_head];
            
            if (type == 1) {
                segments[segments_head++] = start;
            } else {
                int max = rdp_find_max(xs, ys, pressures, zoom, coords_from, start, end);
                if (max != -1) {
                    segment_count += 1;
                    
                    stack[stack_head++] = 0;
                    stack[stack_head++] = max;
                    stack[stack_head++] = end;
                    
                    stack[stack_head++] = 1;
                    stack[stack_head++] = max;
                    stack[stack_head++] = -1;
                    
                    stack[stack_head++] = 0;
                    stack[stack_head++] = start;
                    stack[stack_head++] = max;
                }
            }
        }
        
        segments[segments_head++] = point_count - 1;
    }

    segments_from[clipped_count] = segments_head;

    // Write actual coordinates (points) and stroke ids
    // Do this in one allocation so that they're not interleaved between threads
    char *output = alloc_dynamic(round_to_pow2(segments_head * (3 * 4 + 1), 4) + clipped_count * 4 * 2); // max two ints per stroke for batch info (realistically, much less)
    float *points = (float *) output;
    int *ids = (int *) (output + segments_head * 4 * 2);
    unsigned char *pressures_res = (unsigned char *) (output + segments_head * 4 * 3);
    int *batches = (int *) (output + round_to_pow2(segments_head * (4 * 3 + 1), 4));

    int phead = 0;
    int ihead = 0;
    float sqrt_zoom = __builtin_sqrtf(zoom);
    int last_lod = -100;
    int batch_count = 0;
    int batch_size = 0;

    for (int i = 0; i < clipped_count; ++i) {
        int stroke_index = clipped_indices[i];
        
        int base_stroke = stroke_coords_from[stroke_index];
        int from = segments_from[i];
        int to = segments_from[i + 1];

        for (int j = from; j < to; ++j) {
            int point_index = segments[j];
            float x = xs[base_stroke + point_index];
            float y = ys[base_stroke + point_index];

            points[phead++] = x;
            points[phead++] = y;

            pressures_res[ihead] = pressures[base_stroke + point_index];

            if (j != to - 1) {
                ids[ihead++] = stroke_index;
            } else {
                ids[ihead++] = stroke_index | (1 << 31);
            }
        }

        int segment_count = to - from;

        // Compute recommended LOD level, add to current batch or start new batch
        float sqrt_width = __builtin_sqrtf(width[stroke_index]); 
        int lod = __builtin_ceil(sqrt_zoom * sqrt_width * 0.3333f); // TODO: round

        if (lod > 7) lod = 7;

        if (batch_size > 0 && __builtin_abs(lod - last_lod) > 2) {
            // Start new batch
            batches[batch_count * 2 + 0] = batch_size;
            batches[batch_count * 2 + 1] = last_lod;
            ++batch_count;
            batch_size = 0;
        }

        batch_size += segment_count;
        last_lod = lod;
    }

    if (batch_size > 0) {
        batches[batch_count * 2 + 0] = batch_size;
        batches[batch_count * 2 + 1] = last_lod;
        ++batch_count;
    }

    result_buffer[0] = output;
    result_count[0] = segments_head;
    result_batch_count[0] = batch_count;
}

// NOT thread-safe, only call from one thread
char *
merge_results(int *segment_counts, int *batch_counts, char **buffers, int nthreads)
{
    int total_segments = 0;
    int total_batches = 0;

    for (int i = 0; i < nthreads; ++i) {
        total_segments += segment_counts[i];
        total_batches += batch_counts[i];
    }

    char *merged = alloc_dynamic(round_to_pow2(total_segments * (3 * 4 + 1), 4) + total_batches * 4);
    
    float *points = (float *) merged;
    int *ids = (int *) (merged + total_segments * 4 * 2);
    unsigned char *pressures = (unsigned char *) (merged + total_segments * 4 * 3);
    int *batches = (int *) (merged + round_to_pow2(total_segments * (3 * 4 + 1), 4));
    int batch_base = 0;
    int last_batch_lod = -99;
    int bhead = 0;
    int written_batches = 0;

    for (int i = 0; i < nthreads; ++i) {
        int segments = segment_counts[i];
        int nbatches = batch_counts[i];
        int *thread_batches = (int *) (buffers[i] + round_to_pow2(segments * (4 * 3 + 1), 4));  
        
        if (segments > 0) {
            __builtin_memcpy(points, buffers[i], segments * 4 * 2);
            __builtin_memcpy(ids, buffers[i] + segments * 4 * 2, segments * 4);
            __builtin_memcpy(pressures, buffers[i] + segments * 4 * 3, segments);

            for (int j = 0; j < nbatches * 2; j += 2) {
                batches[bhead++] = written_batches;
                batches[bhead++] = thread_batches[j + 1];
                written_batches += thread_batches[j + 0];
            }

            points += segments * 2;
            ids += segments;
            pressures += segments;
        }
    }

    segment_counts[0] = total_segments;
    batch_counts[0] = total_batches;

    return(merged);
}