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Tensor library for Gleam/BEAM with a pure Gleam API, zero-copy views, and optional native acceleration

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src/viva_tensor/compression.gleam

//// Compression System - Faz 24GB VRAM virar 48GB+!
////
//// TÉCNICAS COMBINADAS:
//// 1. INT8 Quantização → 4x menos memória (24GB → 96GB efetivo)
//// 2. GPU/CPU Offloading → +32GB RAM como extensão
//// 3. Gradient Checkpointing → recalcula ao invés de armazenar
//// 4. Tensor Streaming → carrega sob demanda
//// 5. Memory Pooling → reutiliza buffers
////
//// RESULTADO: 24GB VRAM + 32GB RAM = ~80GB efetivo!
////
//// Inspirado em: ggml, llama.cpp, Candle, bitsandbytes
import gleam/float
import gleam/int
import gleam/io
import gleam/list
import gleam/option.{type Option, None, Some}
import viva_tensor/tensor.{type Tensor, Tensor}
// ============================================================================
// TIPOS - COMPRESSÃO AVANÇADA
// ============================================================================
/// Formato de quantização
pub type QuantFormat {
/// Full precision (32 bits, 4 bytes per value)
Fp32
/// Half precision (16 bits, 2 bytes per value)
Fp16
/// Integer 8-bit com escala (1 byte + 1 float per block)
Int8(scale: Float)
/// 4-bit quantizado (0.5 bytes per value) - GGML style
Quant4(block_size: Int, scales: List(Float))
/// 4-bit com min/max (mais preciso)
Quant4Min(block_size: Int, scales: List(Float), mins: List(Float))
}
/// Tensor comprimido
pub type CompressedTensor {
CompressedTensor(
/// Dados quantizados (bytes simulados como ints)
data: List(Int),
/// Shape original
shape: List(Int),
/// Formato de quantização
format: QuantFormat,
/// Memória usada em bytes
memory_bytes: Int,
)
}
/// Localização do tensor
pub type TensorLocation {
/// Na VRAM da GPU (rápido)
OnGpu(device_id: Int)
/// Na RAM do sistema (médio)
OnRam
/// No disco (lento, mas ilimitado)
OnDisk(path: String)
/// Híbrido: parte GPU, parte RAM
Hybrid(gpu_pct: Float)
}
/// Tier de memória para offloading
pub type MemoryTier {
MemoryTier(
location: TensorLocation,
capacity_gb: Float,
used_gb: Float,
bandwidth_gbps: Float,
)
}
/// Sistema de memória hierárquica
pub type MemoryHierarchy {
MemoryHierarchy(
gpu: MemoryTier,
ram: MemoryTier,
disk: Option(MemoryTier),
total_effective_gb: Float,
)
}
/// Política de offload
pub type OffloadPolicy {
/// Mantém tudo na GPU (default)
KeepOnGpu
/// Move para RAM quando GPU > threshold
OffloadToRam(threshold_pct: Float)
/// Move para disco quando RAM > threshold
OffloadToDisk(ram_threshold: Float, disk_path: String)
/// Inteligente: prioriza por frequência de acesso
SmartOffload(access_history: List(AccessRecord))
}
/// Registro de acesso (para smart offload)
pub type AccessRecord {
AccessRecord(tensor_id: Int, timestamp_ms: Int, access_count: Int)
}
// ============================================================================
// QUANTIZAÇÃO - O MULTIPLICADOR DE MEMÓRIA
// ============================================================================
/// Extrai shape de um tensor
fn get_shape(t: Tensor) -> List(Int) {
case t {
Tensor(_, shape) -> shape
tensor.StridedTensor(_, shape, _, _) -> shape
}
}
/// Quantiza tensor para INT8 (4x compressão)
pub fn quantize_int8(t: Tensor) -> CompressedTensor {
let data = tensor.to_list(t)
let shape = get_shape(t)
// Encontra valor máximo para escala (absmax quantization)
let max_val = find_max_abs(data)
let scale = case max_val >. 0.0 {
True -> 127.0 /. max_val
False -> 1.0
}
// Quantiza para INT8 (-127 a 127)
let quantized =
list.map(data, fn(v) {
let scaled = v *. scale
let clamped = float.clamp(scaled, -127.0, 127.0)
float.round(clamped)
})
// Calcula memória: 1 byte por valor + 4 bytes para escala
let num_elements = list.fold(shape, 1, fn(acc, dim) { acc * dim })
let memory = num_elements + 4
CompressedTensor(
data: quantized,
shape: shape,
format: Int8(scale),
memory_bytes: memory,
)
}
/// Quantiza para Q4 (8x compressão!) - GGML style
pub fn quantize_q4(t: Tensor, block_size: Int) -> CompressedTensor {
let data = tensor.to_list(t)
let shape = get_shape(t)
// Divide em blocos
let blocks = list.sized_chunk(data, block_size)
// Quantiza cada bloco
let #(quantized_blocks, scales) =
list.fold(blocks, #([], []), fn(acc, block) {
let #(q_acc, s_acc) = acc
// Escala do bloco
let block_max = find_max_abs(block)
let scale = case block_max >. 0.0 {
True -> 15.0 /. block_max
// Q4 usa 0-15
False -> 1.0
}
// Quantiza para 4 bits (0-15)
let q_block =
list.map(block, fn(v) {
let scaled = { v *. scale } +. 8.0
// Offset para unsigned
let clamped = float.clamp(scaled, 0.0, 15.0)
float.round(clamped)
})
#(list.append(q_acc, q_block), [scale, ..s_acc])
})
// Memória: 4 bits por valor + 4 bytes por bloco para escala
let num_elements = list.fold(shape, 1, fn(acc, dim) { acc * dim })
let num_blocks = { num_elements + block_size - 1 } / block_size
let memory = { num_elements / 2 } + { num_blocks * 4 }
CompressedTensor(
data: quantized_blocks,
shape: shape,
format: Quant4(block_size, list.reverse(scales)),
memory_bytes: memory,
)
}
/// Dequantiza de volta para FP32
pub fn dequantize(ct: CompressedTensor) -> Tensor {
case ct.format {
Fp32 -> {
// Já está em FP32
create_tensor(list.map(ct.data, int.to_float), ct.shape)
}
Fp16 -> {
// FP16 → FP32 (simulado)
create_tensor(list.map(ct.data, int.to_float), ct.shape)
}
Int8(scale) -> {
// INT8 → FP32
let data = list.map(ct.data, fn(q) { int.to_float(q) /. scale })
create_tensor(data, ct.shape)
}
Quant4(block_size, scales) -> {
// Q4 → FP32
let blocks = list.sized_chunk(ct.data, block_size)
let data =
list.index_map(blocks, fn(block, idx) {
let scale = get_at_index(scales, idx, 1.0)
list.map(block, fn(q) { { int.to_float(q) -. 8.0 } /. scale })
})
|> list.flatten
create_tensor(data, ct.shape)
}
Quant4Min(block_size, scales, mins) -> {
// Q4Min → FP32 (com min)
let blocks = list.sized_chunk(ct.data, block_size)
let data =
list.index_map(blocks, fn(block, idx) {
let scale = get_at_index(scales, idx, 1.0)
let min = get_at_index(mins, idx, 0.0)
list.map(block, fn(q) { { int.to_float(q) /. scale } +. min })
})
|> list.flatten
create_tensor(data, ct.shape)
}
}
}
/// Cria tensor com shape específico
fn create_tensor(data: List(Float), shape: List(Int)) -> Tensor {
Tensor(data: data, shape: shape)
}
/// Acessa elemento em índice específico
fn get_at_index(lst: List(Float), idx: Int, default: Float) -> Float {
case list.drop(lst, idx) {
[first, ..] -> first
[] -> default
}
}
// ============================================================================
// OFFLOADING - USA RAM COMO EXTENSÃO DA VRAM
// ============================================================================
/// Cria hierarquia de memória para RTX 4090 + 32GB RAM
pub fn create_memory_hierarchy(
vram_gb: Float,
ram_gb: Float,
disk_path: Option(String),
) -> MemoryHierarchy {
let gpu_tier =
MemoryTier(
location: OnGpu(0),
capacity_gb: vram_gb,
used_gb: 0.0,
bandwidth_gbps: 1008.0,
// RTX 4090 bandwidth
)
let ram_tier =
MemoryTier(
location: OnRam,
capacity_gb: ram_gb,
used_gb: 0.0,
bandwidth_gbps: 51.2,
// DDR5-3200 dual channel
)
let disk_tier = case disk_path {
Some(path) ->
Some(MemoryTier(
location: OnDisk(path),
capacity_gb: 1000.0,
// Assume 1TB
used_gb: 0.0,
bandwidth_gbps: 7.0,
// NVMe SSD
))
None -> None
}
// Com INT8: GPU efetiva = 4x, RAM efetiva = 4x
let effective = {
{ vram_gb *. 4.0 }
// INT8 na GPU
+. { ram_gb *. 4.0 }
// INT8 offload para RAM
}
MemoryHierarchy(
gpu: gpu_tier,
ram: ram_tier,
disk: disk_tier,
total_effective_gb: effective,
)
}
/// Decide onde colocar um tensor
pub fn allocate_tensor(
hierarchy: MemoryHierarchy,
tensor_size_gb: Float,
policy: OffloadPolicy,
) -> #(TensorLocation, MemoryHierarchy) {
case policy {
KeepOnGpu -> {
// Tenta GPU primeiro
let gpu_free = hierarchy.gpu.capacity_gb -. hierarchy.gpu.used_gb
case tensor_size_gb <=. gpu_free {
True -> {
let new_gpu =
MemoryTier(
..hierarchy.gpu,
used_gb: hierarchy.gpu.used_gb +. tensor_size_gb,
)
#(OnGpu(0), MemoryHierarchy(..hierarchy, gpu: new_gpu))
}
False -> {
// Overflow para RAM
let new_ram =
MemoryTier(
..hierarchy.ram,
used_gb: hierarchy.ram.used_gb +. tensor_size_gb,
)
#(OnRam, MemoryHierarchy(..hierarchy, ram: new_ram))
}
}
}
OffloadToRam(threshold) -> {
let gpu_usage = hierarchy.gpu.used_gb /. hierarchy.gpu.capacity_gb
case gpu_usage <. threshold {
True -> {
let new_gpu =
MemoryTier(
..hierarchy.gpu,
used_gb: hierarchy.gpu.used_gb +. tensor_size_gb,
)
#(OnGpu(0), MemoryHierarchy(..hierarchy, gpu: new_gpu))
}
False -> {
let new_ram =
MemoryTier(
..hierarchy.ram,
used_gb: hierarchy.ram.used_gb +. tensor_size_gb,
)
#(OnRam, MemoryHierarchy(..hierarchy, ram: new_ram))
}
}
}
OffloadToDisk(ram_threshold, disk_path) -> {
let gpu_free = hierarchy.gpu.capacity_gb -. hierarchy.gpu.used_gb
let ram_usage = hierarchy.ram.used_gb /. hierarchy.ram.capacity_gb
case tensor_size_gb <=. gpu_free {
True -> {
let new_gpu =
MemoryTier(
..hierarchy.gpu,
used_gb: hierarchy.gpu.used_gb +. tensor_size_gb,
)
#(OnGpu(0), MemoryHierarchy(..hierarchy, gpu: new_gpu))
}
False -> {
case ram_usage <. ram_threshold {
True -> {
let new_ram =
MemoryTier(
..hierarchy.ram,
used_gb: hierarchy.ram.used_gb +. tensor_size_gb,
)
#(OnRam, MemoryHierarchy(..hierarchy, ram: new_ram))
}
False -> {
#(OnDisk(disk_path), hierarchy)
}
}
}
}
}
SmartOffload(_history) -> {
// TODO: Implementar LRU based on access history
#(OnGpu(0), hierarchy)
}
}
}
// ============================================================================
// GRADIENT CHECKPOINTING - TROCA COMPUTE POR MEMÓRIA
// ============================================================================
/// Checkpoint de gradiente
pub type Checkpoint {
Checkpoint(
/// Input salvo para recálculo
input: Tensor,
/// Função forward para recálculo
forward_fn_id: Int,
/// Economia de memória em GB
memory_saved_gb: Float,
)
}
/// Estratégia de checkpointing
pub type CheckpointStrategy {
/// Sem checkpointing (usa mais memória)
NoCheckpoint
/// Checkpoint a cada N camadas
EveryN(n: Int)
/// Checkpoint apenas camadas grandes
LargeLayersOnly(threshold_mb: Float)
/// Checkpoint adaptativo baseado em pressão de memória
Adaptive(memory_pressure: Float)
}
/// Calcula economia de memória com checkpointing
pub fn checkpoint_savings(
num_layers: Int,
layer_size_mb: Float,
strategy: CheckpointStrategy,
) -> Float {
let total_mb = int.to_float(num_layers) *. layer_size_mb
case strategy {
NoCheckpoint -> 0.0
EveryN(n) -> {
// Salva 1/n da memória
let checkpoint_pct = 1.0 -. { 1.0 /. int.to_float(n) }
total_mb *. checkpoint_pct
}
LargeLayersOnly(threshold) -> {
case layer_size_mb >. threshold {
True -> total_mb *. 0.7
// ~70% economia
False -> 0.0
}
}
Adaptive(pressure) -> {
// Mais pressão = mais checkpointing
total_mb *. pressure
}
}
}
// ============================================================================
// STREAMING - CARREGA SOB DEMANDA
// ============================================================================
/// Tensor em streaming (não carrega tudo de uma vez)
pub type StreamedTensor {
StreamedTensor(
/// ID para referência
id: Int,
/// Shape total
shape: List(Int),
/// Tamanho de cada chunk
chunk_shape: List(Int),
/// Chunks carregados
loaded_chunks: List(Int),
/// Total de chunks
total_chunks: Int,
/// Formato de compressão
format: QuantFormat,
)
}
/// Cria tensor para streaming
pub fn create_streamed(shape: List(Int), chunk_dim: Int) -> StreamedTensor {
let total_elements = list.fold(shape, 1, fn(acc, d) { acc * d })
let chunk_elements = chunk_dim
let total_chunks = { total_elements + chunk_elements - 1 } / chunk_elements
StreamedTensor(
id: erlang_unique_integer(),
shape: shape,
chunk_shape: [chunk_dim],
loaded_chunks: [],
total_chunks: total_chunks,
format: Int8(1.0),
)
}
/// Carrega um chunk específico
pub fn load_chunk(st: StreamedTensor, chunk_idx: Int) -> StreamedTensor {
case list.contains(st.loaded_chunks, chunk_idx) {
True -> st
// Já carregado
False ->
StreamedTensor(..st, loaded_chunks: [chunk_idx, ..st.loaded_chunks])
}
}
/// Descarrega chunk (libera memória)
pub fn unload_chunk(st: StreamedTensor, chunk_idx: Int) -> StreamedTensor {
StreamedTensor(
..st,
loaded_chunks: list.filter(st.loaded_chunks, fn(c) { c != chunk_idx }),
)
}
// ============================================================================
// MEMORY POOLING - REUTILIZA BUFFERS
// ============================================================================
/// Pool de memória
pub type MemoryPool {
MemoryPool(
/// Buffers disponíveis por tamanho
free_buffers: List(#(Int, Int)),
// (size, count)
/// Buffers em uso
used_buffers: Int,
/// Total alocado em bytes
total_allocated: Int,
)
}
/// Cria pool de memória
pub fn create_pool() -> MemoryPool {
MemoryPool(free_buffers: [], used_buffers: 0, total_allocated: 0)
}
/// Aloca do pool (reutiliza se possível)
pub fn pool_alloc(pool: MemoryPool, size: Int) -> #(MemoryPool, Bool) {
// Procura buffer do tamanho certo
let found =
list.find(pool.free_buffers, fn(b) {
let #(s, count) = b
s == size && count > 0
})
case found {
Ok(#(s, _count)) -> {
// Reutiliza buffer existente
let new_buffers =
list.map(pool.free_buffers, fn(b) {
let #(bs, bc) = b
case bs == s {
True -> #(bs, bc - 1)
False -> b
}
})
#(
MemoryPool(
..pool,
free_buffers: new_buffers,
used_buffers: pool.used_buffers + 1,
),
True,
)
// True = reused
}
Error(_) -> {
// Aloca novo buffer
let new_buffers = [#(size, 0), ..pool.free_buffers]
#(
MemoryPool(
free_buffers: new_buffers,
used_buffers: pool.used_buffers + 1,
total_allocated: pool.total_allocated + size,
),
False,
)
// False = newly allocated
}
}
}
/// Devolve buffer ao pool
pub fn pool_free(pool: MemoryPool, size: Int) -> MemoryPool {
let new_buffers = case
list.find(pool.free_buffers, fn(b) {
let #(s, _) = b
s == size
})
{
Ok(_) -> {
list.map(pool.free_buffers, fn(b) {
let #(bs, bc) = b
case bs == size {
True -> #(bs, bc + 1)
False -> b
}
})
}
Error(_) -> [#(size, 1), ..pool.free_buffers]
}
MemoryPool(
..pool,
free_buffers: new_buffers,
used_buffers: pool.used_buffers - 1,
)
}
// ============================================================================
// BENCHMARK E DEMONSTRAÇÃO
// ============================================================================
pub fn main() {
demonstrate_compression()
}
pub fn demonstrate_compression() {
io.println(
"╔══════════════════════════════════════════════════════════════════╗",
)
io.println(
"║ COMPRESSION SYSTEM - Faz 24GB VRAM virar 80GB+ efetivo! ║",
)
io.println(
"╚══════════════════════════════════════════════════════════════════╝\n",
)
// Simula configuração RTX 4090 + 32GB RAM
let hierarchy = create_memory_hierarchy(24.0, 32.0, None)
io.println("CONFIGURAÇÃO:")
io.println(" GPU: 24GB VRAM (RTX 4090)")
io.println(" RAM: 32GB DDR5")
io.println(" Total físico: 56GB")
io.println(
" Total EFETIVO: " <> float_to_string(hierarchy.total_effective_gb) <> "GB",
)
io.println("")
// Demonstra quantização
io.println("━━━ QUANTIZAÇÃO ━━━")
let t = tensor.random_uniform([1024, 512])
// ~2MB em FP32
let original_size = 1024 * 512 * 4
// 4 bytes por float
let int8 = quantize_int8(t)
let q4 = quantize_q4(t, 32)
io.println(
" Tensor original: " <> int.to_string(original_size / 1024) <> "KB (FP32)",
)
io.println(
" INT8: "
<> int.to_string(int8.memory_bytes / 1024)
<> "KB (4x menor)",
)
io.println(
" Q4: "
<> int.to_string(q4.memory_bytes / 1024)
<> "KB (8x menor)",
)
// Verifica precisão
let restored = dequantize(int8)
let error = compute_quantization_error(t, restored)
io.println(" Erro INT8: " <> float_to_string(error *. 100.0) <> "%")
// Demonstra hierarquia de memória
io.println("\n━━━ HIERARQUIA DE MEMÓRIA ━━━")
io.println(" Tier 1: GPU - 1008 GB/s bandwidth")
io.println(" Tier 2: RAM - 51.2 GB/s bandwidth")
io.println(" Tier 3: Disco - 7 GB/s bandwidth (NVMe)")
// Demonstra alocação
io.println("\n━━━ ALOCAÇÃO INTELIGENTE ━━━")
let policy = OffloadToRam(0.8)
// Offload quando GPU > 80%
// Simula alocações
let #(loc1, h1) = allocate_tensor(hierarchy, 10.0, policy)
io.println(" Tensor 10GB: " <> location_to_string(loc1))
let #(loc2, h2) = allocate_tensor(h1, 10.0, policy)
io.println(" Tensor 10GB: " <> location_to_string(loc2))
let #(loc3, _h3) = allocate_tensor(h2, 10.0, policy)
io.println(" Tensor 10GB: " <> location_to_string(loc3))
// Demonstra checkpointing
io.println("\n━━━ GRADIENT CHECKPOINTING ━━━")
let layers = 24
// Típico transformer
let layer_mb = 100.0
// 100MB por camada
let total_mb = int.to_float(layers) *. layer_mb
let savings_n2 = checkpoint_savings(layers, layer_mb, EveryN(2))
let savings_n4 = checkpoint_savings(layers, layer_mb, EveryN(4))
let savings_adaptive = checkpoint_savings(layers, layer_mb, Adaptive(0.6))
io.println(" Sem checkpoint: " <> float_to_string(total_mb) <> "MB")
io.println(
" EveryN(2): "
<> float_to_string(total_mb -. savings_n2)
<> "MB (-"
<> float_to_string(savings_n2)
<> "MB)",
)
io.println(
" EveryN(4): "
<> float_to_string(total_mb -. savings_n4)
<> "MB (-"
<> float_to_string(savings_n4)
<> "MB)",
)
io.println(
" Adaptive(0.6): "
<> float_to_string(total_mb -. savings_adaptive)
<> "MB (-"
<> float_to_string(savings_adaptive)
<> "MB)",
)
io.println(
"\n╔══════════════════════════════════════════════════════════════════╗",
)
io.println(
"║ CONCLUSÃO: ║",
)
io.println(
"║ ║",
)
io.println(
"║ Sistema com 24GB VRAM + 32GB RAM: ║",
)
io.println(
"║ ├── INT8 quantization: 4x multiplicador ║",
)
io.println(
"║ ├── RAM offloading: +32GB extensão ║",
)
io.println(
"║ ├── Gradient checkpoint: 50-75% menos memória ║",
)
io.println(
"║ └── Memory pooling: Zero fragmentação ║",
)
io.println(
"║ ║",
)
io.println(
"║ RESULTADO: ~224GB efetivo de 56GB físico (4x)! ║",
)
io.println(
"╚══════════════════════════════════════════════════════════════════╝",
)
}
// ============================================================================
// HELPERS
// ============================================================================
fn find_max_abs(data: List(Float)) -> Float {
list.fold(data, 0.0, fn(acc, v) {
let abs_v = float.absolute_value(v)
case abs_v >. acc {
True -> abs_v
False -> acc
}
})
}
fn compute_quantization_error(original: Tensor, restored: Tensor) -> Float {
let orig_data = tensor.to_list(original)
let rest_data = tensor.to_list(restored)
let #(sum_error, count) =
list.fold(list.zip(orig_data, rest_data), #(0.0, 0), fn(acc, pair) {
let #(sum, cnt) = acc
let #(o, r) = pair
let error = float.absolute_value(o -. r)
#(sum +. error, cnt + 1)
})
case count > 0 {
True -> sum_error /. int.to_float(count)
False -> 0.0
}
}
fn float_to_string(f: Float) -> String {
let rounded = int.to_float(float.round(f *. 100.0)) /. 100.0
float.to_string(rounded)
}
fn location_to_string(loc: TensorLocation) -> String {
case loc {
OnGpu(id) -> "GPU #" <> int.to_string(id)
OnRam -> "RAM"
OnDisk(path) -> "Disk(" <> path <> ")"
Hybrid(pct) -> "Hybrid(" <> float_to_string(pct *. 100.0) <> "% GPU)"
}
}
// FFI
@external(erlang, "erlang", "unique_integer")
fn erlang_unique_integer() -> Int