What's different between RSASSA and RSAPSS padding mode?

[Dr. Matthias St. Pierre]

Correction: It seems like the naming of the TPM_ALG_* constants is a little bit inconsistent: According to 

https://trustedcomputinggroup.org/wp-content/uploads/TCG-_Algorithm_Registry_r1p32_pub.pdf

* TPM_ALG_RSASSA refers to RSASSA-PKCS1-v1_5

and

* TPM_ALG_RSAPSS refers to RSASSA-PSS.

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