Make remaining message and prior xp paths JAX-traceable - #1461
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Summary
Make the remaining message and compound-prior array-namespace paths genuinely JAX-traceable.
jax.scipyxprecursively through arithmetic and modified priorsxp.log/xp.log10for compound-prior modifiersAPI Changes
Prior.instance_for_argumentsgains an optionalxp=npkeyword, aligning direct priors withAbstractPriorModel.instance_for_arguments. Beta/Gamma message construction and compound-prior evaluation now honor JAX inputs instead of coercing them through NumPy. Existing NumPy calls and defaults are unchanged.See full details below.
Test Plan
main: 12 expected JAX failures, 20 passesFull API Changes (for automation & release notes)
Changed Signature
Prior.instance_for_arguments(arguments, ignore_assertions=False, xp=np)— adds an optional backend argument used by recursive compound-prior evaluation.Changed Behaviour
BetaMessageandGammaMessageconstructors select JAX broadcasting for traced parameters.BetaMessage.log_partition(xp=jnp)usesjax.scipy.special.betaln.GammaMessage.log_partition(xp=jnp)usesjax.scipy.special.gammalnandxp.log.xpto nested children.LogandLog10dispatch throughxp.logandxp.log10.Migration
xpis optional and defaults to NumPy.Closes #1459
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