Index: lib/Support/APInt.cpp =================================================================== --- lib/Support/APInt.cpp +++ lib/Support/APInt.cpp @@ -1586,28 +1586,18 @@ // this step is actually negative, (u[j+n]...u[j]) should be left as the // true value plus b**(n+1), namely as the b's complement of // the true value, and a "borrow" to the left should be remembered. - bool isNeg = false; + int64_t borrow = 0; for (unsigned i = 0; i < n; ++i) { - uint64_t u_tmp = (uint64_t(u[j+i+1]) << 32) | uint64_t(u[j+i]); - uint64_t subtrahend = uint64_t(qp) * uint64_t(v[i]); - bool borrow = subtrahend > u_tmp; - DEBUG(dbgs() << "KnuthDiv: u_tmp = " << u_tmp - << ", subtrahend = " << subtrahend + uint64_t p = uint64_t(qp) * uint64_t(v[i]); + int64_t subres = int64_t(u[j+i]) - borrow - (unsigned)p; + u[j+i] = (unsigned)subres; + borrow = (p >> 32) - (subres >> 32); + DEBUG(dbgs() << "KnuthDiv: u[j+i] = " << u[j+i] << ", borrow = " << borrow << '\n'); - - uint64_t result = u_tmp - subtrahend; - unsigned k = j + i; - u[k++] = (unsigned)result; // subtraction low word - u[k++] = (unsigned)(result >> 32); // subtraction high word - while (borrow && k <= m+n) { // deal with borrow to the left - borrow = u[k] == 0; - u[k]--; - k++; - } - isNeg |= borrow; - DEBUG(dbgs() << "KnuthDiv: u[j+i] = " << u[j+i] - << ", u[j+i+1] = " << u[j+i+1] << '\n'); } + bool isNeg = u[j+n] < borrow; + u[j+n] -= (unsigned)borrow; + DEBUG(dbgs() << "KnuthDiv: after subtraction:"); DEBUG(for (int i = m+n; i >=0; i--) dbgs() << " " << u[i]); DEBUG(dbgs() << '\n'); Index: unittests/ADT/APIntTest.cpp =================================================================== --- unittests/ADT/APIntTest.cpp +++ unittests/ADT/APIntTest.cpp @@ -209,217 +209,101 @@ } } -TEST(APIntTest, divrem_big1) { - // Tests KnuthDiv rare step D6 - APInt a{256, "1ffffffffffffffff", 16}; - APInt b{256, "1ffffffffffffffff", 16}; - APInt c{256, 0}; + +// Tests different div/rem varaints using scheme (a * b + c) / a +void testDiv(APInt a, APInt b, APInt c) { + ASSERT_TRUE(a.uge(b)); // Must: a >= b + ASSERT_TRUE(a.ugt(c)); // Must: a > c auto p = a * b + c; + auto q = p.udiv(a); auto r = p.urem(a); - EXPECT_EQ(q, b); - EXPECT_EQ(r, c); + EXPECT_EQ(b, q); + EXPECT_EQ(c, r); APInt::udivrem(p, a, q, r); - EXPECT_EQ(q, b); - EXPECT_EQ(r, c); - q = p.udiv(b); - r = p.urem(b); - EXPECT_EQ(q, a); - EXPECT_EQ(r, c); - APInt::udivrem(p, b, q, r); - EXPECT_EQ(q, a); - EXPECT_EQ(r, c); + EXPECT_EQ(b, q); + EXPECT_EQ(c, r); q = p.sdiv(a); r = p.srem(a); - EXPECT_EQ(q, b); - EXPECT_EQ(r, c); + EXPECT_EQ(b, q); + EXPECT_EQ(c, r); APInt::sdivrem(p, a, q, r); - EXPECT_EQ(q, b); - EXPECT_EQ(r, c); - q = p.sdiv(b); - r = p.srem(b); - EXPECT_EQ(q, a); - EXPECT_EQ(r, c); - APInt::sdivrem(p, b, q, r); - EXPECT_EQ(q, a); - EXPECT_EQ(r, c); + EXPECT_EQ(b, q); + EXPECT_EQ(c, r); + + if (b.ugt(c)) { // Test also symmetric case + q = p.udiv(b); + r = p.urem(b); + EXPECT_EQ(a, q); + EXPECT_EQ(c, r); + APInt::udivrem(p, b, q, r); + EXPECT_EQ(a, q); + EXPECT_EQ(c, r); + q = p.sdiv(b); + r = p.srem(b); + EXPECT_EQ(a, q); + EXPECT_EQ(c, r); + APInt::sdivrem(p, b, q, r); + EXPECT_EQ(a, q); + EXPECT_EQ(c, r); + } } -TEST(APIntTest, divrem_big2) { +TEST(APIntTest, divrem_big1) { // Tests KnuthDiv rare step D6 - APInt a{1024, "111111ffffffffffffffff" - "ffffffffffffffffffffffffffffffff" - "fffffffffffffffffffffffffffffccf" - "ffffffffffffffffffffffffffffff00", 16}; - APInt b{1024, "112233ceff" - "cecece000000ffffffffffffffffffff" - "ffffffffffffffffffffffffffffffff" - "ffffffffffffffffffffffffffffffff" - "ffffffffffffffffffffffffffffff33", 16}; - APInt c{1024, 7919}; + testDiv({256, "1ffffffffffffffff", 16}, + {256, "1ffffffffffffffff", 16}, + {256, 0}); +} - auto p = a * b + c; - auto q = p.udiv(a); - auto r = p.urem(a); - EXPECT_EQ(q, b); - EXPECT_EQ(r, c); - APInt::udivrem(p, a, q, r); - EXPECT_EQ(q, b); - EXPECT_EQ(r, c); - q = p.udiv(b); - r = p.urem(b); - EXPECT_EQ(q, a); - EXPECT_EQ(r, c); - APInt::udivrem(p, b, q, r); - EXPECT_EQ(q, a); - EXPECT_EQ(r, c); - q = p.sdiv(a); - r = p.srem(a); - EXPECT_EQ(q, b); - EXPECT_EQ(r, c); - APInt::sdivrem(p, a, q, r); - EXPECT_EQ(q, b); - EXPECT_EQ(r, c); - q = p.sdiv(b); - r = p.srem(b); - EXPECT_EQ(q, a); - EXPECT_EQ(r, c); - APInt::sdivrem(p, b, q, r); - EXPECT_EQ(q, a); - EXPECT_EQ(r, c); +TEST(APIntTest, divrem_big2) { + // Tests KnuthDiv rare step D6 + testDiv({1024, "112233ceff" + "cecece000000ffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffff33", 16}, + {1024, "111111ffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "fffffffffffffffffffffffffffffccf" + "ffffffffffffffffffffffffffffff00", 16}, + {1024, 7919}); } TEST(APIntTest, divrem_big3) { // Tests KnuthDiv case without shift - APInt a{256, "ffffffffffffff0000000", 16}; - APInt b{256, "80000001ffffffffffffffff", 16}; - APInt c{256, 4219}; - - auto p = a * b + c; - auto q = p.udiv(a); - auto r = p.urem(a); - EXPECT_EQ(q, b); - EXPECT_EQ(r, c); - APInt::udivrem(p, a, q, r); - EXPECT_EQ(q, b); - EXPECT_EQ(r, c); - q = p.udiv(b); - r = p.urem(b); - EXPECT_EQ(q, a); - EXPECT_EQ(r, c); - APInt::udivrem(p, b, q, r); - EXPECT_EQ(q, a); - EXPECT_EQ(r, c); - q = p.sdiv(a); - r = p.srem(a); - EXPECT_EQ(q, b); - EXPECT_EQ(r, c); - APInt::sdivrem(p, a, q, r); - EXPECT_EQ(q, b); - EXPECT_EQ(r, c); - q = p.sdiv(b); - r = p.srem(b); - EXPECT_EQ(q, a); - EXPECT_EQ(r, c); - APInt::sdivrem(p, b, q, r); - EXPECT_EQ(q, a); - EXPECT_EQ(r, c); + testDiv({256, "80000001ffffffffffffffff", 16}, + {256, "ffffffffffffff0000000", 16}, + {256, 4219}); } TEST(APIntTest, divrem_big4) { // Tests heap allocation in divide() enfoced by huge numbers - auto a = APInt{4096, 1}.shl(2000); - auto b = APInt{4096, 5}.shl(2001); - auto c = APInt{4096, 4219*13}; - - auto p = a * b + c; - auto q = p.udiv(a); - auto r = p.urem(a); - EXPECT_EQ(q, b); - EXPECT_EQ(r, c); - q = APInt{1024, 0}; // test non-single word APInt conversion in divide() - r = APInt{1024, 0}; - APInt::udivrem(p, a, q, r); - EXPECT_EQ(q, b); - EXPECT_EQ(r, c); - q = p.udiv(b); - r = p.urem(b); - EXPECT_EQ(q, a); - EXPECT_EQ(r, c); - q = APInt{1024, 0}; - r = APInt{1024, 0}; - APInt::udivrem(p, b, q, r); - EXPECT_EQ(q, a); - EXPECT_EQ(r, c); - q = p.sdiv(a); - r = p.srem(a); - EXPECT_EQ(q, b); - EXPECT_EQ(r, c); - q = APInt{1024, 0}; - r = APInt{1024, 0}; - APInt::sdivrem(p, a, q, r); - EXPECT_EQ(q, b); - EXPECT_EQ(r, c); - q = p.sdiv(b); - r = p.srem(b); - EXPECT_EQ(q, a); - EXPECT_EQ(r, c); - q = APInt{1024, 0}; - r = APInt{1024, 0}; - APInt::sdivrem(p, b, q, r); - EXPECT_EQ(q, a); - EXPECT_EQ(r, c); + testDiv(APInt{4096, 5}.shl(2001), + APInt{4096, 1}.shl(2000), + APInt{4096, 4219*13}); } TEST(APIntTest, divrem_big5) { // Tests one word divisor case of divide() - auto a = APInt{1024, 19}.shl(811); - auto b = APInt{1024, 4356013}; // one word - auto c = APInt{1024, 1}; + testDiv(APInt{1024, 19}.shl(811), + APInt{1024, 4356013}, // one word + APInt{1024, 1}); +} - auto p = a * b + c; - auto q = p.udiv(a); - auto r = p.urem(a); - EXPECT_EQ(q, b); - EXPECT_EQ(r, c); - APInt::udivrem(p, a, q, r); - EXPECT_EQ(q, b); - EXPECT_EQ(r, c); - q = p.udiv(b); - r = p.urem(b); - EXPECT_EQ(q, a); - EXPECT_EQ(r, c); - APInt::udivrem(p, b, q, r); - EXPECT_EQ(q, a); - EXPECT_EQ(r, c); - q = p.sdiv(a); - r = p.srem(a); - EXPECT_EQ(q, b); - EXPECT_EQ(r, c); - APInt::sdivrem(p, a, q, r); - EXPECT_EQ(q, b); - EXPECT_EQ(r, c); - q = p.sdiv(b); - r = p.srem(b); - EXPECT_EQ(q, a); - EXPECT_EQ(r, c); - APInt::sdivrem(p, b, q, r); - EXPECT_EQ(q, a); - EXPECT_EQ(r, c); +TEST(APIntTest, divrem_big6) { + // Tests some rare "borrow" cases in D4 step + testDiv(APInt{512, "ffffffffffffffff00000000000000000000000001", 16}, + APInt{512, "10000000000000001000000000000001", 16}, + APInt{512, "10000000000000000000000000000000", 16}); } TEST(APIntTest, divrem_big7) { // Yet another test for KnuthDiv rare step D6. - APInt a{224, "800000008000000200000005", 16}; - APInt b{224, "fffffffd", 16}; - APInt c{224, "80000000800000010000000f", 16}; - - auto p = a * b + c; - auto q = p.udiv(a); - auto r = p.urem(a); - EXPECT_EQ(q, b); - EXPECT_EQ(r, c); + testDiv({224, "800000008000000200000005", 16}, + {224, "fffffffd", 16}, + {224, "80000000800000010000000f", 16}); } TEST(APIntTest, fromString) {