api: Revamp interpolation/injection #5626

Job	Run time
pytest-ubuntu-py311-gcc11-noomp-base	47m 2s
pytest-ubuntu-py311-gcc11-noomp-adjoint	52m 25s
pytest-ubuntu-py38-gcc12-omp-base	48m 18s
pytest-ubuntu-py38-gcc12-omp-adjoint	53m 39s
pytest-ubuntu-py37-gcc7-omp-base	52m 36s
pytest-ubuntu-py37-gcc7-omp-adjoint	49m 9s
pytest-ubuntu-py310-gcc10-noomp-base	55m 54s
pytest-ubuntu-py310-gcc10-noomp-adjoint	43m 29s
pytest-ubuntu-py38-gcc8-omp-base	54m 43s
pytest-ubuntu-py38-gcc8-omp-adjoint	42m 49s
pytest-ubuntu-py39-gcc9-omp-base	57m 44s
pytest-ubuntu-py39-gcc9-omp-adjoint	44m 38s
pytest-osx-py37-clang-omp-base	4m 53s
pytest-docker-py39-gcc-omp-base	1h 7m 27s
pytest-docker-py39-gcc-omp-adjoint	45m 1s
pytest-docker-py39-icx-omp-base	42m 8s
pytest-docker-py39-icx-omp-adjoint	53m 2s
	13h 34m 57s

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