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authorRichard Sandiford <richard.sandiford@arm.com>2023-08-03 13:54:11 +0100
committerRichard Sandiford <richard.sandiford@arm.com>2023-08-03 13:54:11 +0100
commit9524718654c3e4a13dd88bc1ac6409da1ec44e71 (patch)
tree808cb3c41cf6c3c412fccaf53ada40f91bb261f6 /gcc/range-op-float.cc
parent29370f1387274ad5a35a020db6a5d06c0324e6c1 (diff)
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poly_int: Handle more can_div_trunc_p cases
can_div_trunc_p (a, b, &Q, &r) tries to compute a Q and r that satisfy the usual conditions for truncating division: (1) a = b * Q + r (2) |b * Q| <= |a| (3) |r| < |b| We can compute Q using the constant component (the case when all indeterminates are zero). Since |r| < |b| for the constant case, the requirements for indeterminate xi with coefficients ai (for a) and bi (for b) are: (2') |bi * Q| <= |ai| (3') |ai - bi * Q| <= |bi| (See the big comment for more details, restrictions, and reasoning). However, the function works on abstract arithmetic types, and so it has to be careful not to introduce new overflow. The code therefore only handled the extreme for (3'), that is: |ai - bi * Q| = |bi| for the case where Q is zero. Looking at it again, the overflow issue is a bit easier to handle than I'd originally thought (or so I hope). This patch therefore extends the code to handle |ai - bi * Q| = |bi| for all Q, with Q = 0 no longer being a separate case. The net effect is to allow the function to succeed for things like: (a0 + b1 (Q+1) x) / (b0 + b1 x) where Q = a0 / b0, with various sign conditions. E.g. we now handle: (7 + 8x) / (4 + 4x) with Q = 1 and r = 3 + 4x, gcc/ * poly-int.h (can_div_trunc_p): Succeed for more boundary conditions. gcc/testsuite/ * gcc.dg/plugin/poly-int-tests.h (test_can_div_trunc_p_const) (test_can_div_trunc_p_const): Add more tests.
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