Since we started exploring PCFs, we later defined the conservative matrix field (CMF), a structure that unites many PCF formulas. We want to add database support for CMFs.
The SQL implementation should consist of three tables:
cmf: only consists of a cmf_id UUID column, works in tandem withcmf_direction: describes a single direction in a CMF. Has a cmf_id foreign key column that relates to a cmf, and four columns that correspond to each matrix entry in the direction, as stringified sympy expressions. Optionally also add a direction_name column.cmf_constant: an extension table to constant that describes a numeric value as a direction in a CMF. Has a cmf_id foreign key that relates to a cmf, start a column of lists of integers that is the starting point in the CMF, and direction a column of lists of integers that describe the direction in which one should go in the CMF. (TODO also implement rational shifts?)
The end goal is to replace and upgrade ResearchTools' known_cmfs, to catalogue all our known CMFs, the PCFs that come up from them, and to update these over time as new CMFs are defined.
Since we started exploring PCFs, we later defined the conservative matrix field (CMF), a structure that unites many PCF formulas. We want to add database support for CMFs.
The SQL implementation should consist of three tables:
cmf: only consists of acmf_idUUID column, works in tandem withcmf_direction: describes a single direction in a CMF. Has acmf_idforeign key column that relates to acmf, and four columns that correspond to each matrix entry in the direction, as stringifiedsympyexpressions. Optionally also add adirection_namecolumn.cmf_constant: an extension table toconstantthat describes a numeric value as a direction in a CMF. Has acmf_idforeign key that relates to acmf,starta column of lists of integers that is the starting point in the CMF, anddirectiona column of lists of integers that describe the direction in which one should go in the CMF. (TODO also implement rational shifts?)The end goal is to replace and upgrade ResearchTools' known_cmfs, to catalogue all our known CMFs, the PCFs that come up from them, and to update these over time as new CMFs are defined.