Programmeur is not that much used nowadays.

I would suggest one of:

Développeur (widely used term)

Ingénieur en développement logiciel (a bit formal)

Ingénieur en génie logiciel (to be used in a CV more than a conversation)

Pôle Emploi is reporting more than 80 different names for this occupation and its variants (toggle the Appellations métier + icon).

See also “Ingénieur du logiciel” or “ingénieur en logiciel”?

Here in Quebec we use

ingénieur logiciel

I cannot speak for other francophone countries, but a quick search on different french job search websites gave me a fair amount of Ingénieur logiciel. Actual people from France could confirm.

It is in the same vein as

Computer engineer > ingénieur informatique

or

IT engineer > ingénieur TI

Same thing with non-IT fields:

civil engineer > ingénieur civil

or

mechanical engineer > ingénieur mécanique.