In terms of handling, these two formations seem to leave fewer stragglers behind after impact and therefore provide more reliable control during combat including follow on charges. Not as effective in terms of straight up damage as a line formation, it can weaken the morale of the enemy (who tend to suffer flank/rear attack penalties due to the split) and allows cavalry to get to rear units (generals and artillery) more quickly than flanking. They allow the cavalry unit to pierce through an infantry unit, splitting it in half and being able to continue through without getting caught due to fewer cavalrymen making contact with the enemy. The trade off is reduced speed and less contact on the charge. Wedge and Diamond have two main effects: a) tightening up the formation so stragglers are less likely and the unit maintains cohesion and b) makes the unit push further into an enemy unit before stopping. Also, the looseness can mean that in the course of battle you need to stop the unit to reform so that charges are effective.
Disadvantages are the troopers tend to get caught more as they stop to fight anyone in contact. Wedge/DiamondThe advantage of the standard cavalry formation is that it is fast to move around in, and maximises the contact point with the enemy in a frontal charge.
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