Nope, can't tell from a snapshot of a moment in time. Is this north-facing, south-facing, east facing, etc? Morning sun (which is gentle) or afternoon sun (which is harsh)?

One idea I heard about is to survey the area every hour of the day. For each hour in which sun strikes the area, place a marker (Landscaper's flag, colored pick up sticks from your kids' toy box, whatever). At the end of the day, count up the markers in each area, and that is the number of hours of sun that spot receives. Given that figure, you can decide if plants will work.

Cardinal flower is not really a shade perennial. It needs 4+ hours of sun to do well. The others may do fine with less.

Have a look at this section of the forum's FAQ about defining levels of shade.

Here is a link that might be useful: Description of Shade from FAQ

In addition to what esh_ga said you have to take into account winter shade and summer shade. Normally in a winter and spring area could receive much more sun than in a summer when deciduous trees are fully leaf out.
In some instanses you could plant early blooming sun loving plants in areas that become shaded later in a season. Good example is crocuses, daffodils and early tulips that blooms perfectly for me in area that later in a season have no more than 1 hour of sun.

Based on your wall being forth facing, and it is very bright still, I would stay that your plant selection will all do well here. I would also suggest hostas.

Being open to the sky makes a vast difference - with open shade there is a lot of indirect light which is all your plants need. Cardinal flower might be the only iffy one.