#include "tensorstore/index_space/dim_expression.h"
template <typename Offsets>
auto tensorstore::DimExpression<Op...>::TranslateBackwardBy(
    const Offsets& offsets) const;

Translates (shifts) the domains of the selected input dimensions backwards by the specified offsets vector; the output range remains the same.

Given an existing transform with input rank m and the selected dims vector, the new index transform maps an input vector of size m to:

existing(input + full_offsets)

where full_offsets is a vector of size m with full_offsets[i] = offsets[j] if dims[j] == i, and full_offsets[i] = 0 if i is not in dims. An offset of kImplicit is treated as 0.

The new dimension selection is the same as the prior dimension selection, with a static rank equal to the merged static rank of the prior dimension selection and the static extent of the offsets vector.

The input domain for each selected dimension is shifted by calling ShiftIntervalBackward.

For example: Dims(0, 2).TranslateBackwardBy({10, 20}) has the following effects:

Before

After

Dimension selection

{0, 2}

{0, 2}

Input domain

[1, 3], [2, 5], [3, 4]

[-9, -7], [2, 5], [-17,-16]

Labels

{"x", "y", "z"}

{"x", "y", "z"}

Equivalent input indices

{2, 3, 3}

{-8, 3, -17}

Equivalent input indices

{x, y, z}

{x - 10, y, z - 20}

where x is any index in [1, 3], y is any index in [2, 5], and z is any index in [3, 4].

Requires:

Offsets satisfies the IsIndexVectorOrScalar concept with a static extent compatible with the static rank of the dimension selection.

Parameters:
const Offsets &offsets

The offset vector by which to shift the input domains of the selected dimensions. May be a braced list, e.g. TranslateBackwardBy({1, 2, 3}). May also be a scalar, e.g. TranslateBackwardBy(5), in which case the same offset is used for all selected dimensions.

Error absl::StatusCode::kInvalidArgument:

if the extent of the offsets vector is not equal to the number of selected dimensions.

Error absl::StatusCode::kOutOfRange:

if the shift offset is outside [kMinFiniteIndex, kMaxFiniteIndex].

Error absl::StatusCode::kInvalidArgument:

if a shifted interval is outside the valid range.