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# SPDX-License-Identifier: Apache-2.0
"""
TTNN Metric Functions
Metric functions for comparing TTNN implementations against reference implementations.
All metrics support both PyTorch and TTNN tensors, with TTNN-native computation
that stays on device until the final scalar result.
Key Features:
- Automatic detection of tensor type (PyTorch vs TTNN)
- TTNN-native computation using device operations
- Minimal host transfers (only final scalar)
- Graceful fallback to PyTorch for non-tensor inputs
"""
import numpy as np
import torch
from loguru import logger
import ttnn
from .auto_compose import to_torch_auto_compose
# ======================================================================================
# Public API
# ======================================================================================
def compute_max_abs_error(impl, ref):
"""
Compute maximum absolute error between two tensors.
Supports both PyTorch and TTNN tensors. For TTNN tensors, computation
stays on device until the final scalar value.
Args:
impl: Implementation output (PyTorch or TTNN tensor)
ref: Reference output (PyTorch or TTNN tensor)
Returns:
float: Maximum absolute difference between tensors
Examples:
>>> a = torch.tensor([1.0, 2.0, 3.0])
>>> b = torch.tensor([1.1, 2.0, 2.9])
>>> _compute_max_abs_error(a, b)
0.10000002384185791
"""
try:
if _is_ttnn_tensor(impl) and _is_ttnn_tensor(ref):
# TTNN path - stay on device
diff = ttnn.subtract(impl, ref)
abs_diff = _ttnn_op_layout_invariant(diff, ttnn.abs)
return _ttnn_max_scalar_all_dtype(abs_diff)
elif _is_ttnn_tensor(impl):
return (to_torch_auto_compose(impl) - ref).abs().max().item()
elif _is_ttnn_tensor(ref):
return (impl - to_torch_auto_compose(ref)).abs().max().item()
else:
# PyTorch path - both must be torch tensors
return (impl - ref).abs().max().item()
except Exception as e:
return float("inf")
def compute_mean_abs_error(impl, ref):
"""
Compute mean absolute error between two tensors.
Supports both PyTorch and TTNN tensors. For TTNN tensors, computation
stays on device until the final scalar value.
Args:
impl: Implementation output (PyTorch or TTNN tensor)
ref: Reference output (PyTorch or TTNN tensor)
Returns:
float: Mean absolute difference between tensors
Examples:
>>> a = torch.tensor([1.0, 2.0, 3.0])
>>> b = torch.tensor([1.1, 2.0, 2.9])
>>> _compute_mean_abs_error(a, b)
0.06666667014360428
"""
try:
if _is_ttnn_tensor(impl) and _is_ttnn_tensor(ref):
# TTNN path - stay on device
diff = ttnn.subtract(impl, ref)
abs_diff = _ttnn_op_layout_invariant(diff, ttnn.abs)
return _ttnn_mean_scalar_all_dtype(abs_diff)
elif _is_ttnn_tensor(impl):
return (to_torch_auto_compose(impl) - ref).abs().mean().item()
elif _is_ttnn_tensor(ref):
return (impl - to_torch_auto_compose(ref)).abs().mean().item()
else:
# PyTorch path - both must be torch tensors
return (impl - ref).abs().mean().item()
except Exception as e:
return float("inf")
def compute_pcc(impl, ref):
"""
Compute Pearson Correlation Coefficient (PCC) between two tensors.
PCC measures the linear correlation between two tensors. Returns 1.0 for
perfect positive correlation, 0.0 for no correlation, and -1.0 for perfect
negative correlation. This is a common metric used in tt-metal for validating
tensor computations.
For TTNN tensors: Uses on-device computation (100-1000× faster). If edge cases
produce non-finite values (NaN/inf), raises ValueError with instructions to use
Pattern 2 (PyTorch reference with output_map for robust CPU-based PCC).
For PyTorch tensors: Uses robust numpy implementation (from tt-metal
comparison_funcs.py) that handles complex, NaN, inf, and constant tensors.
Args:
impl: Implementation output (PyTorch or TTNN tensor)
ref: Reference output (PyTorch or TTNN tensor)
Returns:
float: PCC value in range [-1.0, 1.0], or 0.0 on error
Raises:
ValueError: If TTNN-native computation produces non-finite values
Examples:
>>> a = torch.tensor([1.0, 2.0, 3.0])
>>> b = torch.tensor([1.0, 2.0, 3.0])
>>> _compute_pcc(a, b)
1.0
>>> a = torch.tensor([1.0, 2.0, 3.0])
>>> b = torch.tensor([3.0, 2.0, 1.0])
>>> _compute_pcc(a, b)
-1.0
"""
try:
# TTNN fast path - compute on device
if _is_ttnn_tensor(impl) and _is_ttnn_tensor(ref):
return compute_pcc_device(impl, ref)
elif _is_ttnn_tensor(impl):
return compute_pcc_host(to_torch_auto_compose(impl), ref)
elif _is_ttnn_tensor(ref):
return compute_pcc_host(impl, to_torch_auto_compose(ref))
else:
return compute_pcc_host(impl, ref)
except Exception:
return 0.0
# Default metrics dictionary for easy import
DEFAULT_METRICS = {
"max_abs_error": compute_max_abs_error,
"mean_abs_error": compute_mean_abs_error,
"pcc": compute_pcc,
}
# Allclose comparison with detailed delta string
def comp_allclose(impl, ref, rtol=1e-05, atol=1e-08):
"""
Compare two tensors using an allclose criterion and return (passing, details).
Provides both a TTNN-native on-device implementation and a PyTorch fallback.
Mirrors semantics of torch.allclose(..., equal_nan=True) and reports the
maximum absolute and relative deltas similar to comparison_funcs.py.
Args:
impl: Implementation output (PyTorch or TTNN tensor)
ref: Reference output (PyTorch or TTNN tensor)
rtol (float): Relative tolerance
atol (float): Absolute tolerance
Returns:
tuple[bool, str]: (passing, "Max ATOL Delta: x, Max RTOL Delta: y[,...]")
"""
try:
# TTNN-native path: compute deltas and allclose on device, then transfer final scalars
if _is_ttnn_tensor(impl) and _is_ttnn_tensor(ref):
# Compute deltas (device)
diff = _ttnn_op_layout_invariant(ttnn.subtract(impl, ref), ttnn.abs)
cal_atol = _ttnn_max_scalar_all_dtype(diff)
# For rtol delta, divide by abs(ref) (may produce inf for zeros; acceptable for reporting)
divided_by_ref = ttnn.divide(diff, _ttnn_op_layout_invariant(ref, ttnn.abs))
cal_rtol = _ttnn_max_scalar_all_dtype(divided_by_ref)
# equal_nan=True semantics and finite/infinite handling
isnan_impl = _ttnn_op_layout_invariant(impl, ttnn.isnan)
isnan_ref = _ttnn_op_layout_invariant(ref, ttnn.isnan)
both_nan = ttnn.logical_and(isnan_impl, isnan_ref)
isinf_impl = _ttnn_op_layout_invariant(impl, ttnn.isinf)
isinf_ref = _ttnn_op_layout_invariant(ref, ttnn.isinf)
impl_sign = _ttnn_op_layout_invariant(impl, ttnn.sign)
ref_sign = _ttnn_op_layout_invariant(ref, ttnn.sign)
same_sign_inf = ttnn.eq(impl_sign, ref_sign)
both_inf_same_sign = ttnn.logical_and(ttnn.logical_and(isinf_impl, isinf_ref), same_sign_inf)
# Finite elements where numeric closeness applies
any_nan = ttnn.logical_or(isnan_impl, isnan_ref)
any_inf = ttnn.logical_or(isinf_impl, isinf_ref)
finite_both = _ttnn_op_layout_invariant(ttnn.logical_or(any_nan, any_inf), ttnn.logical_not)
# |impl - ref| <= atol + rtol * |ref|
bound = ttnn.add(ttnn.mul(_ttnn_op_layout_invariant(ref, ttnn.abs), rtol, dtype=ttnn.bfloat16), atol)
close_numeric = ttnn.le(diff, bound)
finite_and_close = ttnn.logical_and(finite_both, close_numeric)
ok_mask = ttnn.logical_or(ttnn.logical_or(both_nan, both_inf_same_sign), finite_and_close)
fail_mask = _ttnn_op_layout_invariant(ok_mask, ttnn.logical_not)
# Reduce to scalar: any failure -> 1.0 else 0.0
fail_indicator = _ttnn_op_layout_invariant(fail_mask, ttnn.where, true_value=1.0, false_value=0.0)
any_fail = _ttnn_max_scalar_all_dtype(fail_indicator)
passing = any_fail == 0.0
output_str = f"Max ATOL Delta: {cal_atol}, Max RTOL Delta: {cal_rtol}"
if not passing:
output_str += ", Allclose check failed"
return passing, output_str
# Fallback: compute with PyTorch (handles mixed inputs by converting TTNN -> torch)
impl_torch = to_torch_auto_compose(impl) if _is_ttnn_tensor(impl) else impl
ref_torch = to_torch_auto_compose(ref) if _is_ttnn_tensor(ref) else ref
if torch.is_tensor(impl_torch) and torch.is_tensor(ref_torch):
# Match dtype for fair comparison
if impl_torch.dtype != ref_torch.dtype:
ref_torch = ref_torch.to(impl_torch.dtype)
atol_delta = torch.max(torch.abs(impl_torch - ref_torch)).item()
# May produce inf where ref == 0; this mirrors comparison_funcs.py behavior
rtol_delta = torch.max(torch.abs(impl_torch - ref_torch) / torch.abs(ref_torch)).item()
passing = torch.allclose(impl_torch, ref_torch, rtol, atol, True)
output_str = f"Max ATOL Delta: {atol_delta}, Max RTOL Delta: {rtol_delta}"
if not passing:
output_str += ", Allclose check failed"
return passing, output_str
# Unsupported types
return False, "Unsupported input types for comp_allclose"
except Exception as e:
return False, f"Error computing comp_allclose: {e}"
def compute_pcc_device(impl, ref):
"""Fast on-device PCC for TTNN tensors only."""
try:
# Early edge-case handling to mirror CPU semantics
# - All NaNs → 1.0; mixed NaNs → 0.0
# - One tensor all zero and the other not → 0.0
# - Both constant → 1.0 if equal, else 0.0
# Any nonzero check (all-zero detection)
impl_abs_max = _ttnn_max_scalar_all_dtype(_ttnn_op_layout_invariant(impl, ttnn.abs))
ref_abs_max = _ttnn_max_scalar_all_dtype(_ttnn_op_layout_invariant(ref, ttnn.abs))
impl_has_any = impl_abs_max != 0.0
ref_has_any = ref_abs_max != 0.0
if impl_has_any != ref_has_any:
return 0.0
# Min/Max scalars for constant and NaN detection
impl_min = _ttnn_min_scalar_all_dtype(impl)
impl_max = _ttnn_max_scalar_all_dtype(impl)
ref_min = _ttnn_min_scalar_all_dtype(ref)
ref_max = _ttnn_max_scalar_all_dtype(ref)
impl_min_finite = np.isfinite(impl_min)
impl_max_finite = np.isfinite(impl_max)
ref_min_finite = np.isfinite(ref_min)
ref_max_finite = np.isfinite(ref_max)
impl_all_nan = (not impl_min_finite) and (not impl_max_finite)
ref_all_nan = (not ref_min_finite) and (not ref_max_finite)
if impl_all_nan and ref_all_nan:
return 1.0
if impl_all_nan != ref_all_nan:
return 0.0
# Constant tensors
if impl_min_finite and impl_max_finite and ref_min_finite and ref_max_finite:
if impl_min == impl_max and ref_min == ref_max:
return (
1.0
if torch.isclose(
torch.tensor(impl_max, dtype=torch.float32), torch.tensor(ref_max, dtype=torch.float32)
)
else 0.0
)
# Standard PCC formula on device
mean_impl = _ttnn_mean_scalar_all_dtype(impl)
mean_ref = _ttnn_mean_scalar_all_dtype(ref)
impl_centered = ttnn.subtract(impl, mean_impl)
ref_centered = ttnn.subtract(ref, mean_ref)
# todo)) ttnn.sum() does local reduction only; need CCL reduction for global sum when adding support for multiple-devices
# [INFO] we cast to float32 to avoid overflow when impl and ref are in bfloat8_b or bfloat4_b
numerator = ttnn.sum(ttnn.mul(impl_centered, ref_centered, dtype=ttnn.float32))
impl_sq_sum = ttnn.sum(ttnn.mul(impl_centered, impl_centered, dtype=ttnn.float32))
ref_sq_sum = ttnn.sum(ttnn.mul(ref_centered, ref_centered, dtype=ttnn.float32))
denominator = ttnn.sqrt(ttnn.mul(impl_sq_sum, ref_sq_sum, dtype=ttnn.float32))
# Safe divide
denom_scalar = denominator.item()
if denom_scalar == 0.0 or not np.isfinite(denom_scalar):
return 0.0
pcc = numerator.item() / denom_scalar
if not np.isfinite(pcc):
return 0.0
return pcc
except Exception as e:
# todo)) maybe return a string for logging: f"Error computing PCC on device: {e}, impl: {impl}, ref: {ref}"
return 0.0
# code stolen from tests/tt_eager/python_api_testing/sweep_tests/comparison_funcs.py
# and models/common/utility_functions.py
def compute_pcc_host(impl, ref):
"""Robust CPU PCC for PyTorch tensors only."""
try:
calculated = impl
golden = ref
if golden.dtype != calculated.dtype:
calculated = calculated.type(golden.dtype)
# Handle complex tensors
if golden.is_complex() and calculated.is_complex():
golden = torch.view_as_real(golden.clone())
calculated = torch.view_as_real(calculated.clone())
# Convert to float if needed
if not (golden.is_floating_point() or calculated.is_floating_point()):
golden = golden.to(torch.float)
calculated = calculated.to(torch.float)
# Both tensors are nan
if torch.all(torch.isnan(golden)) and torch.all(torch.isnan(calculated)):
return 1.0
# One tensor is all nan, the other is not
if torch.all(torch.isnan(golden)) or torch.all(torch.isnan(calculated)):
return 0.0
# One tensor is all zero, the other is not — also a zero-variance case.
if torch.any(golden.bool()) != torch.any(calculated.bool()):
logger.warning("One tensor is all zero. PCC undefined; falling back to allclose.")
return float(torch.allclose(golden, calculated, rtol=1e-05, atol=1e-04))
# Mask all infs and nans
golden = golden.clone()
golden[
torch.logical_or(
torch.isnan(golden),
torch.logical_or(torch.isinf(golden), torch.isneginf(golden)),
)
] = 0
calculated = calculated.clone()
calculated[
torch.logical_or(
torch.isnan(calculated),
torch.logical_or(torch.isinf(calculated), torch.isneginf(calculated)),
)
] = 0
if torch.equal(golden, calculated):
return 1.0
if golden.dtype == torch.bfloat16:
golden = golden.type(torch.float32)
calculated = calculated.type(torch.float32)
# Single element or constant tensor: PCC is undefined.
if golden.numel() == 1:
return float(torch.allclose(golden, calculated, rtol=1e-05, atol=1e-04))
if torch.max(golden) == torch.min(golden) or torch.max(calculated) == torch.min(calculated):
logger.warning("One or both tensors are constant (zero std dev). PCC undefined; falling back to allclose.")
return float(torch.allclose(golden, calculated, rtol=1e-05, atol=1e-04))
# Compute PCC using numpy's corrcoef
cal_pcc = np.ma.corrcoef(
np.ma.masked_invalid(torch.squeeze(golden).detach().numpy()).flatten(),
np.ma.masked_invalid(torch.squeeze(calculated).detach().numpy()).flatten(),
)
# Read off-diagonal directly to avoid diagonal contamination.
cal_pcc = cal_pcc[0, 1]
if isinstance(cal_pcc, np.ma.core.MaskedConstant) or np.isnan(float(cal_pcc)):
logger.warning("PCC returned NaN/masked. Falling back to allclose.")
return float(torch.allclose(golden, calculated, rtol=1e-05, atol=1e-04))
return float(cal_pcc)
except Exception:
return 0.0
# ======================================================================================
# Private Implementation
# ======================================================================================
def _is_ttnn_tensor(x):
"""Safely detect TTNN tensors even if ttnn.Tensor is not defined in this environment."""
return isinstance(x, ttnn.Tensor)
def _ttnn_op_layout_invariant(x, op_func, **kwargs):
"""
Generic helper for TTNN operations that require TILE layout for non-sharded tensors.
Args:
x: TTNN tensor
op_func: TTNN operation function to call (e.g., ttnn.sign, ttnn.abs, ttnn.typecast)
**kwargs: Additional keyword arguments to pass to op_func (e.g., dtype=ttnn.bfloat16 for typecast)
Returns:
Result of op_func applied to x, with layout preserved.
"""
# [ttnn contract] all TTNN operations require tensors to be in TILE layout when working with non-sharded tensors:
# ttnn.sign(), ttnn.abs(), ttnn.isinf(), ttnn.isnan(), ttnn.typecast(), ttnn.where(), ttnn.logical_not()
layout = x.get_layout()
if layout == ttnn.TILE_LAYOUT or x.is_sharded(): # sharded tensors can use either layout
return op_func(x, **kwargs)
else:
return ttnn.to_layout(op_func(ttnn.to_layout(x, ttnn.TILE_LAYOUT), **kwargs), layout)
def _ttnn_max_scalar_all_dtype(x):
x_bf16 = _ttnn_op_layout_invariant(x, ttnn.typecast, dtype=ttnn.bfloat16)
# [ttnn contract] ttnn.max() internally calls a FillPad operation, which only supports the following dtypes:
# BFLOAT16
# FLOAT32
# UINT16, UINT32, INT32
# UINT8
# see ttnn/cpp/ttnn/operations/data_movement/fill_pad/device/fill_pad_program_factory.hpp for more details
# [INFO] we cast to bfloat16 to avoid the limitation of the FillPad operation when dealing with e.g., bfloat8_b and bfloat4_b dtypes
# [ttnn contract] When called without a dim parameter, ttnn.max() returns the maximum value across the entire tensor as a scalar.
max_val_tensor = ttnn.max(x_bf16)
# [ttnn contract] When called without a dim parameter, ttnn.max() returns the maximum value across the entire tensor as a scalar.
# The method supports multiple data types:
# FLOAT32 → Python float
# BFLOAT16 → Python float (cast from bfloat16)
# BFLOAT8_B and BFLOAT4_B → Python float
return max_val_tensor.item()
def _ttnn_mean_scalar_all_dtype(x):
x_bf16 = _ttnn_op_layout_invariant(x, ttnn.typecast, dtype=ttnn.bfloat16)
# [ttnn contract] ttnn.mean() internally calls a FillPad operation, which only supports the following dtypes:
# BFLOAT16
# FLOAT32
# UINT16, UINT32, INT32
# UINT8
# see ttnn/cpp/ttnn/operations/data_movement/fill_pad/device/fill_pad_program_factory.hpp for more details
# [INFO] we cast to bfloat16 to avoid the limitation of the FillPad operation when dealing with e.g., bfloat8_b and bfloat4_b dtypes
# [ttnn contract] When called without a dim parameter, ttnn.mean() returns the mean value across the entire tensor as a scalar.
mean_val_tensor = ttnn.mean(x_bf16)
return mean_val_tensor.item()
def _ttnn_min_scalar_all_dtype(x):
x_bf16 = _ttnn_op_layout_invariant(x, ttnn.typecast, dtype=ttnn.bfloat16)
# [ttnn contract] ttnn.mean() internally calls a FillPad operation, which only supports the following dtypes:
# BFLOAT16
# FLOAT32
# UINT16, UINT32, INT32
# UINT8
# see ttnn/cpp/ttnn/operations/data_movement/fill_pad/device/fill_pad_program_factory.hpp for more details
# [INFO] we cast to bfloat16 to avoid the limitation of the FillPad operation when dealing with e.g., bfloat8_b and bfloat4_b dtypes
# [ttnn contract] When called without a dim parameter, ttnn.mean() returns the mean value across the entire tensor as a scalar.
min_val_tensor = ttnn.min(x_bf16)
return min_val_tensor.item()
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