Exponent — transformers/Exponent.py

Elementwise exponentiation transformer. Raises each element of SD_i to a fixed integer power, then appends the transform salt.

TSD_i = SD_i ^ exponent (elementwise) SLT_i = Concat(TSD_i, TS_i)

Supported exponents: 0, 1, 2, 3, 4. Any other value returns zeros (fallback branch).

Constructor

python Exponent(exponent=1, size=0, length_transform_salt=0)

Parameter	Type	Default	Description
exponent	int	1	Integer power to raise each element to (0–4).
size	int	0	Expected output shape.
length_transform_salt	int	0	Dimensionality of TS_i.

forward(a, salt, exponent)

Uses nested torch.where calls to branch on the integer exponent value without Python control flow, keeping the computation graph differentiable and ONNX-exportable.

Parameter	Type	Description
a	torch.Tensor	Salted raw value SD_i.
salt	torch.Tensor	Transform salt TS_i.
exponent	torch.Tensor	Scalar integer tensor (1,).

Returns torch.Tensor — Concat(a^exponent, salt).

Warning

Exponents outside 0–4 silently produce a zero tensor. Validate the exponent value before circuit setup.

---

See index.md for the shared interface inherited by all transformers.