api: Revamp interpolation/injection #5617

Job	Run time
pytest-ubuntu-py311-gcc11-noomp-base	47m 13s
pytest-ubuntu-py311-gcc11-noomp-adjoint	59m 57s
pytest-ubuntu-py38-gcc12-omp-base	48m 12s
pytest-ubuntu-py38-gcc12-omp-adjoint	59m 48s
pytest-ubuntu-py37-gcc7-omp-base	48m 20s
pytest-ubuntu-py37-gcc7-omp-adjoint	1h 5m 4s
pytest-ubuntu-py310-gcc10-noomp-base	53m 56s
pytest-ubuntu-py310-gcc10-noomp-adjoint	50m 31s
pytest-ubuntu-py38-gcc8-omp-base	46m 58s
pytest-ubuntu-py38-gcc8-omp-adjoint	43m 31s
pytest-ubuntu-py39-gcc9-omp-base	48m 24s
pytest-ubuntu-py39-gcc9-omp-adjoint	45m 48s
pytest-osx-py37-clang-omp-base	5m 17s
pytest-docker-py39-gcc-omp-base	53m 7s
pytest-docker-py39-gcc-omp-adjoint	45m 51s
pytest-docker-py39-icx-omp-base	39m 27s
pytest-docker-py39-icx-omp-adjoint	40m 44s
	13h 22m 8s

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