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"""
NVFP4 Kernel Test - Validates E2M1/E4M3 encoding/decoding and matmul on GPU.
Tests:
1. E2M1 quantization round-trip (quantize -> dequantize -> compare)
2. E4M3 scale encoding round-trip
3. NVFP4 block quantization + dequantization accuracy
4. NVFP4 matmul vs FP32 reference
Run with: python3 /data-nvme/test_nvfp4.py
Or via nvrunner: python3 /data-nvme/nvrunner python3 /data-nvme/test_nvfp4.py --duration 120
"""
import numpy as np
import torch
# ============================================================================
# E2M1 constants
# ============================================================================
E2M1_VALUES = np.array([
0.0, 0.5, 1.0, 1.5, 2.0, 3.0, 4.0, 6.0,
-0.0, -0.5, -1.0, -1.5, -2.0, -3.0, -4.0, -6.0
], dtype=np.float32)
NVFP4_BLOCK_SIZE = 16
NVFP4_MAX_VAL = 6.0
# ============================================================================
# E2M1 encoding/decoding (Python reference)
# ============================================================================
def float_to_e2m1(x):
"""Convert float to nearest E2M1 4-bit code."""
if x == 0.0:
return 0
sign = 1 if x < 0 else 0
abs_x = abs(x)
best_code = 0
best_err = float('inf')
for i in range(8):
err = abs(abs_x - E2M1_VALUES[i])
if err < best_err:
best_err = err
best_code = i
return (best_code | (0x8 if sign else 0))
def e2m1_to_float(code):
"""Convert E2M1 4-bit code to float."""
return E2M1_VALUES[code & 0xF]
def float_to_e4m3(x):
"""Convert float to E4M3 (unsigned, for scale factors)."""
if x == 0.0:
return 0
x = abs(x)
if x >= 448.0:
return 0x7F
bits = np.float32(x).view(np.uint32)
exp = int((bits >> 23) & 0xFF)
mant = int(bits & 0x7FFFFF)
if exp == 0:
return 0
real_exp = exp - 127
e4m3_exp = real_exp + 7
if e4m3_exp <= 0:
mant_frac = x * 64.0
mant_int = int(round(mant_frac))
if mant_int >= 8:
return 0x08
return mant_int & 0x07
if e4m3_exp > 15:
return 0x7F
e4m3_mant = mant >> 20
round_bit = (mant >> 19) & 1
sticky = (mant & ((1 << 19) - 1)) != 0
if round_bit and (sticky or (e4m3_mant & 1)):
e4m3_mant += 1
if e4m3_mant >= 8:
e4m3_mant = 0
e4m3_exp += 1
if e4m3_exp > 15:
return 0x7F
return (e4m3_exp << 3) | (e4m3_mant & 0x07)
def e4m3_to_float(code):
"""Convert E4M3 to float."""
if code == 0:
return 0.0
sign = (code >> 7) & 1
exp = (code >> 3) & 0x0F
mant = code & 0x07
if exp == 0:
val = mant * 0.001953125 # 2^(-9)
else:
val = (1.0 + mant / 8.0) * (2.0 ** (exp - 7))
return -val if sign else val
# ============================================================================
# NVFP4 block quantization/dequantization (Python reference)
# ============================================================================
def quantize_nvfp4_block(values):
"""Quantize a block of 16 float values to NVFP4.
Returns (packed_data[8], scale_e4m3).
"""
assert len(values) == NVFP4_BLOCK_SIZE
# Compute block amax
block_amax = max(abs(v) for v in values)
# block_scale = block_amax / 6.0
block_scale = block_amax / NVFP4_MAX_VAL if block_amax > 0 else 0.0
# Convert to E4M3
scale_e4m3 = float_to_e4m3(block_scale)
scale_float = e4m3_to_float(scale_e4m3)
# Quantize each value
packed = [0] * 8
for i in range(NVFP4_BLOCK_SIZE):
if scale_float > 0:
normalized = values[i] / scale_float
else:
normalized = 0.0
code = float_to_e2m1(normalized)
if i % 2 == 0:
packed[i // 2] = (packed[i // 2] & 0xF0) | (code & 0x0F)
else:
packed[i // 2] = (packed[i // 2] & 0x0F) | ((code & 0x0F) << 4)
return packed, scale_e4m3
def dequantize_nvfp4_block(packed, scale_e4m3):
"""Dequantize an NVFP4 block.
Returns 16 float values.
"""
scale_float = e4m3_to_float(scale_e4m3)
values = [0.0] * NVFP4_BLOCK_SIZE
for i in range(NVFP4_BLOCK_SIZE):
byte = packed[i // 2]
code = (byte & 0x0F) if (i % 2 == 0) else ((byte >> 4) & 0x0F)
values[i] = e2m1_to_float(code) * scale_float
return values
# ============================================================================
# GPU kernel test using PyTorch (as proxy for CUDA)
# ============================================================================
def test_e2m1_roundtrip():
"""Test E2M1 encoding/decoding accuracy."""
print("=== Test 1: E2M1 Round-Trip ===")
test_values = np.array([0.0, 0.5, 1.0, 1.5, 2.0, 3.0, 4.0, 6.0,
-0.5, -1.0, -1.5, -2.0, -3.0, -4.0, -6.0, 0.25], dtype=np.float32)
max_err = 0.0
for v in test_values:
code = float_to_e2m1(v)
decoded = e2m1_to_float(code)
err = abs(v - decoded)
max_err = max(max_err, err)
print(f" {v:8.4f} -> code={code:2d} (0x{code:X}) -> {decoded:8.4f} err={err:.4f}")
assert max_err <= 0.5, f"E2M1 max error {max_err} exceeds 0.5"
print(f" PASSED (max_err={max_err:.4f})\n")
def test_e4m3_roundtrip():
"""Test E4M3 scale encoding/decoding."""
print("=== Test 2: E4M3 Scale Round-Trip ===")
# E4M3 subnormal min = 2^(-9) = 0.001953125
# Normal range starts at 2^(-6) = 0.015625
# Block scales for typical weights: block_amax/6.0, where amax > 0.1
test_scales = [0.05, 0.1, 0.5, 1.0, 2.0, 10.0, 100.0, 448.0]
max_rel_err = 0.0
for s in test_scales:
code = float_to_e4m3(s)
decoded = e4m3_to_float(code)
rel_err = abs(s - decoded) / max(s, 1e-10)
max_rel_err = max(max_rel_err, rel_err)
print(f" {s:10.6f} -> code=0x{code:02X} -> {decoded:10.6f} rel_err={rel_err:.6f}")
# E4M3 has 3 mantissa bits, so worst case relative error for normals is ~6.25%
# Subnormals have higher error, but we exclude extreme subnormals
assert max_rel_err < 0.1, f"E4M3 max relative error {max_rel_err} exceeds 0.1"
print(f" PASSED (max_rel_err={max_rel_err:.6f})\n")
def test_nvfp4_block_roundtrip():
"""Test NVFP4 block quantization round-trip."""
print("=== Test 3: NVFP4 Block Round-Trip ===")
np.random.seed(42)
# Generate test data with various distributions
test_blocks = [
np.random.randn(NVFP4_BLOCK_SIZE).astype(np.float32) * 0.1, # Small values
np.random.randn(NVFP4_BLOCK_SIZE).astype(np.float32) * 1.0, # Normal
np.random.randn(NVFP4_BLOCK_SIZE).astype(np.float32) * 10.0, # Large
np.linspace(-5, 5, NVFP4_BLOCK_SIZE, dtype=np.float32), # Uniform
np.zeros(NVFP4_BLOCK_SIZE, dtype=np.float32), # All zeros
]
for i, block in enumerate(test_blocks):
packed, scale = quantize_nvfp4_block(block.tolist())
dequant = dequantize_nvfp4_block(packed, scale)
max_err = max(abs(a - b) for a, b in zip(block, dequant))
max_val = max(abs(v) for v in block)
rel_err = max_err / max(max_val, 1e-10)
print(f" Block {i}: max_val={max_val:.4f}, max_err={max_err:.6f}, rel_err={rel_err:.6f}")
# NVFP4 has 8 representable positive values, so error should be bounded
assert rel_err < 0.3, f"Block {i} relative error {rel_err} too high"
print(" PASSED\n")
def test_nvfp4_matmul_gpu():
"""Test NVFP4 quantized matmul on GPU using PyTorch.
This simulates the NVFP4 kernel by doing:
1. Quantize weight matrix to NVFP4
2. Dequantize on-the-fly during matmul
3. Compare with FP32 reference
"""
print("=== Test 4: NVFP4 MatMul GPU (PyTorch) ===")
device = torch.device("cuda" if torch.cuda.is_available() else "cpu")
print(f" Device: {device}")
if device.type == "cpu":
print(" SKIPPED (no CUDA)\n")
return
# Test dimensions
M, N, K = 1, 256, 512
# Generate test data
torch.manual_seed(42)
x = torch.randn(M, K, device=device, dtype=torch.float32)
w = torch.randn(N, K, device=device, dtype=torch.float32) * 0.5 # Smaller weights for better quantization
# FP32 reference
ref = x @ w.t() # [M, N]
# NVFP4 quantization of weights (on CPU then transfer)
num_blocks_k = K // NVFP4_BLOCK_SIZE
w_quant_np = np.zeros((N, K), dtype=np.float32)
w_np = w.cpu().numpy()
for n in range(N):
for bk in range(num_blocks_k):
block = w_np[n, bk*NVFP4_BLOCK_SIZE:(bk+1)*NVFP4_BLOCK_SIZE]
block_amax = np.abs(block).max()
block_scale = block_amax / NVFP4_MAX_VAL if block_amax > 0 else 0.0
scale_e4m3 = float_to_e4m3(block_scale)
scale_float = e4m3_to_float(scale_e4m3)
for i in range(NVFP4_BLOCK_SIZE):
if scale_float > 0:
normalized = block[i] / scale_float
else:
normalized = 0.0
code = float_to_e2m1(normalized)
w_quant_np[n, bk*NVFP4_BLOCK_SIZE + i] = e2m1_to_float(code) * scale_float
w_quant = torch.from_numpy(w_quant_np).to(device)
# NVFP4 matmul
result = x @ w_quant.t() # [M, N]
# Compare
max_err = (ref - result).abs().max().item()
mean_err = (ref - result).abs().mean().item()
ref_norm = ref.abs().mean().item()
rel_err = mean_err / max(ref_norm, 1e-10)
print(f" Dimensions: M={M}, N={N}, K={K}")
print(f" Max error: {max_err:.6f}")
print(f" Mean error: {mean_err:.6f}")
print(f" Relative error: {rel_err:.6f}")
assert rel_err < 0.2, f"MatMul relative error {rel_err} too high"
print(" PASSED\n")
def test_nvfp4_large_matmul_gpu():
"""Test with larger dimensions to stress the kernel."""
print("=== Test 5: NVFP4 Large MatMul GPU ===")
device = torch.device("cuda" if torch.cuda.is_available() else "cpu")
if device.type == "cpu":
print(" SKIPPED (no CUDA)\n")
return
M, N, K = 4, 1024, 2048
torch.manual_seed(123)
x = torch.randn(M, K, device=device, dtype=torch.float32)
w = torch.randn(N, K, device=device, dtype=torch.float32) * 0.3
ref = x @ w.t()
# Vectorized NVFP4 quantization
num_blocks_k = K // NVFP4_BLOCK_SIZE
w_blocks = w.view(N, num_blocks_k, NVFP4_BLOCK_SIZE)
block_amax = w_blocks.abs().amax(dim=2, keepdim=True)
block_scale = block_amax / NVFP4_MAX_VAL
block_scale[block_scale == 0] = 1.0 # Avoid division by zero
# Quantize: round to nearest E2M1 value
normalized = w_blocks / block_scale
# Find nearest E2M1 value
e2m1_vals_t = torch.tensor(E2M1_VALUES, device=device, dtype=torch.float32)
# For each normalized value, find nearest in E2M1_VALUES
expanded = normalized.unsqueeze(-1) # [N, num_blocks, 16, 1]
diffs = (expanded - e2m1_vals_t).abs() # [N, num_blocks, 16, 16]
codes = diffs.argmin(dim=-1) # [N, num_blocks, 16]
w_quant = e2m1_vals_t[codes] * block_scale
w_quant = w_quant.view(N, K)
result = x @ w_quant.t()
max_err = (ref - result).abs().max().item()
mean_err = (ref - result).abs().mean().item()
ref_norm = ref.abs().mean().item()
rel_err = mean_err / max(ref_norm, 1e-10)
print(f" Dimensions: M={M}, N={N}, K={K}")
print(f" Max error: {max_err:.6f}")
print(f" Mean error: {mean_err:.6f}")
print(f" Relative error: {rel_err:.6f}")
assert rel_err < 0.2, f"Large MatMul relative error {rel_err} too high"
print(" PASSED\n")
def test_memory_savings():
"""Verify NVFP4 memory savings vs FP32."""
print("=== Test 6: Memory Savings ===")
K = 4096
N = 4096
fp32_bytes = N * K * 4
nvfp4_bytes = N * (K // NVFP4_BLOCK_SIZE) * 9 # 9 bytes per 16 elements
ratio = fp32_bytes / nvfp4_bytes
print(f" FP32: {fp32_bytes / 1024 / 1024:.1f} MB")
print(f" NVFP4: {nvfp4_bytes / 1024 / 1024:.1f} MB")
print(f" Compression ratio: {ratio:.2f}x")
# 4 bits per element + 8 bits per 16 elements scale = 4.5 bits per element
# vs 32 bits per element for FP32
expected_ratio = 32.0 / 4.5
assert abs(ratio - expected_ratio) < 0.1, f"Compression ratio {ratio} != expected {expected_ratio}"
print(f" PASSED (expected ~{expected_ratio:.1f}x)\n")
if __name__ == "__main__":
print("NVFP4 Kernel Test Suite\n")
print(f"GPU available: {torch.cuda.is_available()}")
if torch.cuda.is_available():
print(f"GPU: {torch.cuda.get_device_name(0)}")
print()
test_e2m1_roundtrip()
test_e4m3_roundtrip()
test_nvfp4_block_roundtrip()
test_nvfp4_matmul_gpu()
test_nvfp4_large_matmul_gpu()
test_memory_savings()
print("=== ALL TESTS PASSED ===")
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