EXPECT_EQ(getRounded64(UINT64_MAX, 0, true), SP64(UINT64_C(1) << 63, 1));
}
-TEST(FloatsTest, getAdjusted) {
+TEST(ScaledNumberHelpersTest, getAdjusted) {
const uint64_t Max32In64 = UINT32_MAX;
EXPECT_EQ(getAdjusted32(0), SP32(0, 0));
EXPECT_EQ(getAdjusted32(0, 5), SP32(0, 5));
EXPECT_EQ(getAdjusted64(Max32In64 + 1), SP64(Max32In64 + 1, 0));
EXPECT_EQ(getAdjusted64(UINT64_MAX), SP64(UINT64_MAX, 0));
}
+
+TEST(ScaledNumberHelpersTest, getProduct) {
+ // Zero.
+ EXPECT_EQ(SP32(0, 0), getProduct32(0, 0));
+ EXPECT_EQ(SP32(0, 0), getProduct32(0, 1));
+ EXPECT_EQ(SP32(0, 0), getProduct32(0, 33));
+
+ // Basic.
+ EXPECT_EQ(SP32(6, 0), getProduct32(2, 3));
+ EXPECT_EQ(SP32(UINT16_MAX / 3 * UINT16_MAX / 5 * 2, 0),
+ getProduct32(UINT16_MAX / 3, UINT16_MAX / 5 * 2));
+
+ // Overflow, no loss of precision.
+ // ==> 0xf00010 * 0x1001
+ // ==> 0xf00f00000 + 0x10010
+ // ==> 0xf00f10010
+ // ==> 0xf00f1001 * 2^4
+ EXPECT_EQ(SP32(0xf00f1001, 4), getProduct32(0xf00010, 0x1001));
+
+ // Overflow, loss of precision, rounds down.
+ // ==> 0xf000070 * 0x1001
+ // ==> 0xf00f000000 + 0x70070
+ // ==> 0xf00f070070
+ // ==> 0xf00f0700 * 2^8
+ EXPECT_EQ(SP32(0xf00f0700, 8), getProduct32(0xf000070, 0x1001));
+
+ // Overflow, loss of precision, rounds up.
+ // ==> 0xf000080 * 0x1001
+ // ==> 0xf00f000000 + 0x80080
+ // ==> 0xf00f080080
+ // ==> 0xf00f0801 * 2^8
+ EXPECT_EQ(SP32(0xf00f0801, 8), getProduct32(0xf000080, 0x1001));
+
+ // Reverse operand order.
+ EXPECT_EQ(SP32(0, 0), getProduct32(1, 0));
+ EXPECT_EQ(SP32(0, 0), getProduct32(33, 0));
+ EXPECT_EQ(SP32(6, 0), getProduct32(3, 2));
+ EXPECT_EQ(SP32(UINT16_MAX / 3 * UINT16_MAX / 5 * 2, 0),
+ getProduct32(UINT16_MAX / 5 * 2, UINT16_MAX / 3));
+ EXPECT_EQ(SP32(0xf00f1001, 4), getProduct32(0x1001, 0xf00010));
+ EXPECT_EQ(SP32(0xf00f0700, 8), getProduct32(0x1001, 0xf000070));
+ EXPECT_EQ(SP32(0xf00f0801, 8), getProduct32(0x1001, 0xf000080));
+
+ // Round to overflow.
+ EXPECT_EQ(SP64(UINT64_C(1) << 63, 64),
+ getProduct64(UINT64_C(10376293541461622786),
+ UINT64_C(16397105843297379211)));
+
+ // Big number with rounding.
+ EXPECT_EQ(SP64(UINT64_C(9223372036854775810), 64),
+ getProduct64(UINT64_C(18446744073709551556),
+ UINT64_C(9223372036854775840)));
+}
+
+TEST(ScaledNumberHelpersTest, getQuotient) {
+ // Zero.
+ EXPECT_EQ(SP32(0, 0), getQuotient32(0, 0));
+ EXPECT_EQ(SP32(0, 0), getQuotient32(0, 1));
+ EXPECT_EQ(SP32(0, 0), getQuotient32(0, 73));
+ EXPECT_EQ(SP32(UINT32_MAX, MaxScale), getQuotient32(1, 0));
+ EXPECT_EQ(SP32(UINT32_MAX, MaxScale), getQuotient32(6, 0));
+
+ // Powers of two.
+ EXPECT_EQ(SP32(1u << 31, -31), getQuotient32(1, 1));
+ EXPECT_EQ(SP32(1u << 31, -30), getQuotient32(2, 1));
+ EXPECT_EQ(SP32(1u << 31, -33), getQuotient32(4, 16));
+ EXPECT_EQ(SP32(7u << 29, -29), getQuotient32(7, 1));
+ EXPECT_EQ(SP32(7u << 29, -30), getQuotient32(7, 2));
+ EXPECT_EQ(SP32(7u << 29, -33), getQuotient32(7, 16));
+
+ // Divide evenly.
+ EXPECT_EQ(SP32(3u << 30, -30), getQuotient32(9, 3));
+ EXPECT_EQ(SP32(9u << 28, -28), getQuotient32(63, 7));
+
+ // Divide unevenly.
+ EXPECT_EQ(SP32(0xaaaaaaab, -33), getQuotient32(1, 3));
+ EXPECT_EQ(SP32(0xd5555555, -31), getQuotient32(5, 3));
+
+ // 64-bit division is hard to test, since divide64 doesn't canonicalized its
+ // output. However, this is the algorithm the implementation uses:
+ //
+ // - Shift divisor right.
+ // - If we have 1 (power of 2), return early -- not canonicalized.
+ // - Shift dividend left.
+ // - 64-bit integer divide.
+ // - If there's a remainder, continue with long division.
+ //
+ // TODO: require less knowledge about the implementation in the test.
+
+ // Zero.
+ EXPECT_EQ(SP64(0, 0), getQuotient64(0, 0));
+ EXPECT_EQ(SP64(0, 0), getQuotient64(0, 1));
+ EXPECT_EQ(SP64(0, 0), getQuotient64(0, 73));
+ EXPECT_EQ(SP64(UINT64_MAX, MaxScale), getQuotient64(1, 0));
+ EXPECT_EQ(SP64(UINT64_MAX, MaxScale), getQuotient64(6, 0));
+
+ // Powers of two.
+ EXPECT_EQ(SP64(1, 0), getQuotient64(1, 1));
+ EXPECT_EQ(SP64(2, 0), getQuotient64(2, 1));
+ EXPECT_EQ(SP64(4, -4), getQuotient64(4, 16));
+ EXPECT_EQ(SP64(7, 0), getQuotient64(7, 1));
+ EXPECT_EQ(SP64(7, -1), getQuotient64(7, 2));
+ EXPECT_EQ(SP64(7, -4), getQuotient64(7, 16));
+
+ // Divide evenly.
+ EXPECT_EQ(SP64(UINT64_C(3) << 60, -60), getQuotient64(9, 3));
+ EXPECT_EQ(SP64(UINT64_C(9) << 58, -58), getQuotient64(63, 7));
+
+ // Divide unevenly.
+ EXPECT_EQ(SP64(0xaaaaaaaaaaaaaaab, -65), getQuotient64(1, 3));
+ EXPECT_EQ(SP64(0xd555555555555555, -63), getQuotient64(5, 3));
+}
+
+TEST(ScaledNumberHelpersTest, getLg) {
+ EXPECT_EQ(0, getLg(UINT32_C(1), 0));
+ EXPECT_EQ(1, getLg(UINT32_C(1), 1));
+ EXPECT_EQ(1, getLg(UINT32_C(2), 0));
+ EXPECT_EQ(3, getLg(UINT32_C(1), 3));
+ EXPECT_EQ(3, getLg(UINT32_C(7), 0));
+ EXPECT_EQ(3, getLg(UINT32_C(8), 0));
+ EXPECT_EQ(3, getLg(UINT32_C(9), 0));
+ EXPECT_EQ(3, getLg(UINT32_C(64), -3));
+ EXPECT_EQ(31, getLg((UINT32_MAX >> 1) + 2, 0));
+ EXPECT_EQ(32, getLg(UINT32_MAX, 0));
+ EXPECT_EQ(-1, getLg(UINT32_C(1), -1));
+ EXPECT_EQ(-1, getLg(UINT32_C(2), -2));
+ EXPECT_EQ(INT32_MIN, getLg(UINT32_C(0), -1));
+ EXPECT_EQ(INT32_MIN, getLg(UINT32_C(0), 0));
+ EXPECT_EQ(INT32_MIN, getLg(UINT32_C(0), 1));
+
+ EXPECT_EQ(0, getLg(UINT64_C(1), 0));
+ EXPECT_EQ(1, getLg(UINT64_C(1), 1));
+ EXPECT_EQ(1, getLg(UINT64_C(2), 0));
+ EXPECT_EQ(3, getLg(UINT64_C(1), 3));
+ EXPECT_EQ(3, getLg(UINT64_C(7), 0));
+ EXPECT_EQ(3, getLg(UINT64_C(8), 0));
+ EXPECT_EQ(3, getLg(UINT64_C(9), 0));
+ EXPECT_EQ(3, getLg(UINT64_C(64), -3));
+ EXPECT_EQ(63, getLg((UINT64_MAX >> 1) + 2, 0));
+ EXPECT_EQ(64, getLg(UINT64_MAX, 0));
+ EXPECT_EQ(-1, getLg(UINT64_C(1), -1));
+ EXPECT_EQ(-1, getLg(UINT64_C(2), -2));
+ EXPECT_EQ(INT32_MIN, getLg(UINT64_C(0), -1));
+ EXPECT_EQ(INT32_MIN, getLg(UINT64_C(0), 0));
+ EXPECT_EQ(INT32_MIN, getLg(UINT64_C(0), 1));
+}
+
+TEST(ScaledNumberHelpersTest, getLgFloor) {
+ EXPECT_EQ(0, getLgFloor(UINT32_C(1), 0));
+ EXPECT_EQ(1, getLgFloor(UINT32_C(1), 1));
+ EXPECT_EQ(1, getLgFloor(UINT32_C(2), 0));
+ EXPECT_EQ(2, getLgFloor(UINT32_C(7), 0));
+ EXPECT_EQ(3, getLgFloor(UINT32_C(1), 3));
+ EXPECT_EQ(3, getLgFloor(UINT32_C(8), 0));
+ EXPECT_EQ(3, getLgFloor(UINT32_C(9), 0));
+ EXPECT_EQ(3, getLgFloor(UINT32_C(64), -3));
+ EXPECT_EQ(31, getLgFloor((UINT32_MAX >> 1) + 2, 0));
+ EXPECT_EQ(31, getLgFloor(UINT32_MAX, 0));
+ EXPECT_EQ(INT32_MIN, getLgFloor(UINT32_C(0), -1));
+ EXPECT_EQ(INT32_MIN, getLgFloor(UINT32_C(0), 0));
+ EXPECT_EQ(INT32_MIN, getLgFloor(UINT32_C(0), 1));
+
+ EXPECT_EQ(0, getLgFloor(UINT64_C(1), 0));
+ EXPECT_EQ(1, getLgFloor(UINT64_C(1), 1));
+ EXPECT_EQ(1, getLgFloor(UINT64_C(2), 0));
+ EXPECT_EQ(2, getLgFloor(UINT64_C(7), 0));
+ EXPECT_EQ(3, getLgFloor(UINT64_C(1), 3));
+ EXPECT_EQ(3, getLgFloor(UINT64_C(8), 0));
+ EXPECT_EQ(3, getLgFloor(UINT64_C(9), 0));
+ EXPECT_EQ(3, getLgFloor(UINT64_C(64), -3));
+ EXPECT_EQ(63, getLgFloor((UINT64_MAX >> 1) + 2, 0));
+ EXPECT_EQ(63, getLgFloor(UINT64_MAX, 0));
+ EXPECT_EQ(INT32_MIN, getLgFloor(UINT64_C(0), -1));
+ EXPECT_EQ(INT32_MIN, getLgFloor(UINT64_C(0), 0));
+ EXPECT_EQ(INT32_MIN, getLgFloor(UINT64_C(0), 1));
+}
+
+TEST(ScaledNumberHelpersTest, getLgCeiling) {
+ EXPECT_EQ(0, getLgCeiling(UINT32_C(1), 0));
+ EXPECT_EQ(1, getLgCeiling(UINT32_C(1), 1));
+ EXPECT_EQ(1, getLgCeiling(UINT32_C(2), 0));
+ EXPECT_EQ(3, getLgCeiling(UINT32_C(1), 3));
+ EXPECT_EQ(3, getLgCeiling(UINT32_C(7), 0));
+ EXPECT_EQ(3, getLgCeiling(UINT32_C(8), 0));
+ EXPECT_EQ(3, getLgCeiling(UINT32_C(64), -3));
+ EXPECT_EQ(4, getLgCeiling(UINT32_C(9), 0));
+ EXPECT_EQ(32, getLgCeiling(UINT32_MAX, 0));
+ EXPECT_EQ(32, getLgCeiling((UINT32_MAX >> 1) + 2, 0));
+ EXPECT_EQ(INT32_MIN, getLgCeiling(UINT32_C(0), -1));
+ EXPECT_EQ(INT32_MIN, getLgCeiling(UINT32_C(0), 0));
+ EXPECT_EQ(INT32_MIN, getLgCeiling(UINT32_C(0), 1));
+
+ EXPECT_EQ(0, getLgCeiling(UINT64_C(1), 0));
+ EXPECT_EQ(1, getLgCeiling(UINT64_C(1), 1));
+ EXPECT_EQ(1, getLgCeiling(UINT64_C(2), 0));
+ EXPECT_EQ(3, getLgCeiling(UINT64_C(1), 3));
+ EXPECT_EQ(3, getLgCeiling(UINT64_C(7), 0));
+ EXPECT_EQ(3, getLgCeiling(UINT64_C(8), 0));
+ EXPECT_EQ(3, getLgCeiling(UINT64_C(64), -3));
+ EXPECT_EQ(4, getLgCeiling(UINT64_C(9), 0));
+ EXPECT_EQ(64, getLgCeiling((UINT64_MAX >> 1) + 2, 0));
+ EXPECT_EQ(64, getLgCeiling(UINT64_MAX, 0));
+ EXPECT_EQ(INT32_MIN, getLgCeiling(UINT64_C(0), -1));
+ EXPECT_EQ(INT32_MIN, getLgCeiling(UINT64_C(0), 0));
+ EXPECT_EQ(INT32_MIN, getLgCeiling(UINT64_C(0), 1));
+}
+
+TEST(ScaledNumberHelpersTest, compare) {
+ EXPECT_EQ(0, compare(UINT32_C(0), 0, UINT32_C(0), 1));
+ EXPECT_EQ(0, compare(UINT32_C(0), 0, UINT32_C(0), -10));
+ EXPECT_EQ(0, compare(UINT32_C(0), 0, UINT32_C(0), 20));
+ EXPECT_EQ(0, compare(UINT32_C(8), 0, UINT32_C(64), -3));
+ EXPECT_EQ(0, compare(UINT32_C(8), 0, UINT32_C(32), -2));
+ EXPECT_EQ(0, compare(UINT32_C(8), 0, UINT32_C(16), -1));
+ EXPECT_EQ(0, compare(UINT32_C(8), 0, UINT32_C(8), 0));
+ EXPECT_EQ(0, compare(UINT32_C(8), 0, UINT32_C(4), 1));
+ EXPECT_EQ(0, compare(UINT32_C(8), 0, UINT32_C(2), 2));
+ EXPECT_EQ(0, compare(UINT32_C(8), 0, UINT32_C(1), 3));
+ EXPECT_EQ(-1, compare(UINT32_C(0), 0, UINT32_C(1), 3));
+ EXPECT_EQ(-1, compare(UINT32_C(7), 0, UINT32_C(1), 3));
+ EXPECT_EQ(-1, compare(UINT32_C(7), 0, UINT32_C(64), -3));
+ EXPECT_EQ(1, compare(UINT32_C(9), 0, UINT32_C(1), 3));
+ EXPECT_EQ(1, compare(UINT32_C(9), 0, UINT32_C(64), -3));
+ EXPECT_EQ(1, compare(UINT32_C(9), 0, UINT32_C(0), 0));
+
+ EXPECT_EQ(0, compare(UINT64_C(0), 0, UINT64_C(0), 1));
+ EXPECT_EQ(0, compare(UINT64_C(0), 0, UINT64_C(0), -10));
+ EXPECT_EQ(0, compare(UINT64_C(0), 0, UINT64_C(0), 20));
+ EXPECT_EQ(0, compare(UINT64_C(8), 0, UINT64_C(64), -3));
+ EXPECT_EQ(0, compare(UINT64_C(8), 0, UINT64_C(32), -2));
+ EXPECT_EQ(0, compare(UINT64_C(8), 0, UINT64_C(16), -1));
+ EXPECT_EQ(0, compare(UINT64_C(8), 0, UINT64_C(8), 0));
+ EXPECT_EQ(0, compare(UINT64_C(8), 0, UINT64_C(4), 1));
+ EXPECT_EQ(0, compare(UINT64_C(8), 0, UINT64_C(2), 2));
+ EXPECT_EQ(0, compare(UINT64_C(8), 0, UINT64_C(1), 3));
+ EXPECT_EQ(-1, compare(UINT64_C(0), 0, UINT64_C(1), 3));
+ EXPECT_EQ(-1, compare(UINT64_C(7), 0, UINT64_C(1), 3));
+ EXPECT_EQ(-1, compare(UINT64_C(7), 0, UINT64_C(64), -3));
+ EXPECT_EQ(1, compare(UINT64_C(9), 0, UINT64_C(1), 3));
+ EXPECT_EQ(1, compare(UINT64_C(9), 0, UINT64_C(64), -3));
+ EXPECT_EQ(1, compare(UINT64_C(9), 0, UINT64_C(0), 0));
+ EXPECT_EQ(-1, compare(UINT64_MAX, 0, UINT64_C(1), 64));
+}
+
+TEST(ScaledNumberHelpersTest, matchScales) {
+#define MATCH_SCALES(T, LDIn, LSIn, RDIn, RSIn, LDOut, RDOut, SOut) \
+ do { \
+ T LDx = LDIn; \
+ T RDx = RDIn; \
+ T LDy = LDOut; \
+ T RDy = RDOut; \
+ int16_t LSx = LSIn; \
+ int16_t RSx = RSIn; \
+ int16_t Sy = SOut; \
+ \
+ EXPECT_EQ(SOut, matchScales(LDx, LSx, RDx, RSx)); \
+ EXPECT_EQ(LDy, LDx); \
+ EXPECT_EQ(RDy, RDx); \
+ if (LDy) \
+ EXPECT_EQ(Sy, LSx); \
+ if (RDy) \
+ EXPECT_EQ(Sy, RSx); \
+ } while (false)
+
+ MATCH_SCALES(uint32_t, 0, 0, 0, 0, 0, 0, 0);
+ MATCH_SCALES(uint32_t, 0, 50, 7, 1, 0, 7, 1);
+ MATCH_SCALES(uint32_t, UINT32_C(1) << 31, 1, 9, 0, UINT32_C(1) << 31, 4, 1);
+ MATCH_SCALES(uint32_t, UINT32_C(1) << 31, 2, 9, 0, UINT32_C(1) << 31, 2, 2);
+ MATCH_SCALES(uint32_t, UINT32_C(1) << 31, 3, 9, 0, UINT32_C(1) << 31, 1, 3);
+ MATCH_SCALES(uint32_t, UINT32_C(1) << 31, 4, 9, 0, UINT32_C(1) << 31, 0, 4);
+ MATCH_SCALES(uint32_t, UINT32_C(1) << 30, 4, 9, 0, UINT32_C(1) << 31, 1, 3);
+ MATCH_SCALES(uint32_t, UINT32_C(1) << 29, 4, 9, 0, UINT32_C(1) << 31, 2, 2);
+ MATCH_SCALES(uint32_t, UINT32_C(1) << 28, 4, 9, 0, UINT32_C(1) << 31, 4, 1);
+ MATCH_SCALES(uint32_t, UINT32_C(1) << 27, 4, 9, 0, UINT32_C(1) << 31, 9, 0);
+ MATCH_SCALES(uint32_t, 7, 1, 0, 50, 7, 0, 1);
+ MATCH_SCALES(uint32_t, 9, 0, UINT32_C(1) << 31, 1, 4, UINT32_C(1) << 31, 1);
+ MATCH_SCALES(uint32_t, 9, 0, UINT32_C(1) << 31, 2, 2, UINT32_C(1) << 31, 2);
+ MATCH_SCALES(uint32_t, 9, 0, UINT32_C(1) << 31, 3, 1, UINT32_C(1) << 31, 3);
+ MATCH_SCALES(uint32_t, 9, 0, UINT32_C(1) << 31, 4, 0, UINT32_C(1) << 31, 4);
+ MATCH_SCALES(uint32_t, 9, 0, UINT32_C(1) << 30, 4, 1, UINT32_C(1) << 31, 3);
+ MATCH_SCALES(uint32_t, 9, 0, UINT32_C(1) << 29, 4, 2, UINT32_C(1) << 31, 2);
+ MATCH_SCALES(uint32_t, 9, 0, UINT32_C(1) << 28, 4, 4, UINT32_C(1) << 31, 1);
+ MATCH_SCALES(uint32_t, 9, 0, UINT32_C(1) << 27, 4, 9, UINT32_C(1) << 31, 0);
+
+ MATCH_SCALES(uint64_t, 0, 0, 0, 0, 0, 0, 0);
+ MATCH_SCALES(uint64_t, 0, 100, 7, 1, 0, 7, 1);
+ MATCH_SCALES(uint64_t, UINT64_C(1) << 63, 1, 9, 0, UINT64_C(1) << 63, 4, 1);
+ MATCH_SCALES(uint64_t, UINT64_C(1) << 63, 2, 9, 0, UINT64_C(1) << 63, 2, 2);
+ MATCH_SCALES(uint64_t, UINT64_C(1) << 63, 3, 9, 0, UINT64_C(1) << 63, 1, 3);
+ MATCH_SCALES(uint64_t, UINT64_C(1) << 63, 4, 9, 0, UINT64_C(1) << 63, 0, 4);
+ MATCH_SCALES(uint64_t, UINT64_C(1) << 62, 4, 9, 0, UINT64_C(1) << 63, 1, 3);
+ MATCH_SCALES(uint64_t, UINT64_C(1) << 61, 4, 9, 0, UINT64_C(1) << 63, 2, 2);
+ MATCH_SCALES(uint64_t, UINT64_C(1) << 60, 4, 9, 0, UINT64_C(1) << 63, 4, 1);
+ MATCH_SCALES(uint64_t, UINT64_C(1) << 59, 4, 9, 0, UINT64_C(1) << 63, 9, 0);
+ MATCH_SCALES(uint64_t, 7, 1, 0, 100, 7, 0, 1);
+ MATCH_SCALES(uint64_t, 9, 0, UINT64_C(1) << 63, 1, 4, UINT64_C(1) << 63, 1);
+ MATCH_SCALES(uint64_t, 9, 0, UINT64_C(1) << 63, 2, 2, UINT64_C(1) << 63, 2);
+ MATCH_SCALES(uint64_t, 9, 0, UINT64_C(1) << 63, 3, 1, UINT64_C(1) << 63, 3);
+ MATCH_SCALES(uint64_t, 9, 0, UINT64_C(1) << 63, 4, 0, UINT64_C(1) << 63, 4);
+ MATCH_SCALES(uint64_t, 9, 0, UINT64_C(1) << 62, 4, 1, UINT64_C(1) << 63, 3);
+ MATCH_SCALES(uint64_t, 9, 0, UINT64_C(1) << 61, 4, 2, UINT64_C(1) << 63, 2);
+ MATCH_SCALES(uint64_t, 9, 0, UINT64_C(1) << 60, 4, 4, UINT64_C(1) << 63, 1);
+ MATCH_SCALES(uint64_t, 9, 0, UINT64_C(1) << 59, 4, 9, UINT64_C(1) << 63, 0);
+}
+
+TEST(ScaledNumberHelpersTest, getSum) {
+ // Zero.
+ EXPECT_EQ(SP32(1, 0), getSum32(0, 0, 1, 0));
+ EXPECT_EQ(SP32(8, -3), getSum32(0, 0, 8, -3));
+ EXPECT_EQ(SP32(UINT32_MAX, 0), getSum32(0, 0, UINT32_MAX, 0));
+
+ // Basic.
+ EXPECT_EQ(SP32(2, 0), getSum32(1, 0, 1, 0));
+ EXPECT_EQ(SP32(3, 0), getSum32(1, 0, 2, 0));
+ EXPECT_EQ(SP32(67, 0), getSum32(7, 0, 60, 0));
+
+ // Different scales.
+ EXPECT_EQ(SP32(3, 0), getSum32(1, 0, 1, 1));
+ EXPECT_EQ(SP32(4, 0), getSum32(2, 0, 1, 1));
+
+ // Loss of precision.
+ EXPECT_EQ(SP32(UINT32_C(1) << 31, 1), getSum32(1, 32, 1, 0));
+ EXPECT_EQ(SP32(UINT32_C(1) << 31, -31), getSum32(1, -32, 1, 0));
+
+ // Not quite loss of precision.
+ EXPECT_EQ(SP32((UINT32_C(1) << 31) + 1, 1), getSum32(1, 32, 1, 1));
+ EXPECT_EQ(SP32((UINT32_C(1) << 31) + 1, -32), getSum32(1, -32, 1, -1));
+
+ // Overflow.
+ EXPECT_EQ(SP32(UINT32_C(1) << 31, 1), getSum32(1, 0, UINT32_MAX, 0));
+
+ // Reverse operand order.
+ EXPECT_EQ(SP32(1, 0), getSum32(1, 0, 0, 0));
+ EXPECT_EQ(SP32(8, -3), getSum32(8, -3, 0, 0));
+ EXPECT_EQ(SP32(UINT32_MAX, 0), getSum32(UINT32_MAX, 0, 0, 0));
+ EXPECT_EQ(SP32(3, 0), getSum32(2, 0, 1, 0));
+ EXPECT_EQ(SP32(67, 0), getSum32(60, 0, 7, 0));
+ EXPECT_EQ(SP32(3, 0), getSum32(1, 1, 1, 0));
+ EXPECT_EQ(SP32(4, 0), getSum32(1, 1, 2, 0));
+ EXPECT_EQ(SP32(UINT32_C(1) << 31, 1), getSum32(1, 0, 1, 32));
+ EXPECT_EQ(SP32(UINT32_C(1) << 31, -31), getSum32(1, 0, 1, -32));
+ EXPECT_EQ(SP32((UINT32_C(1) << 31) + 1, 1), getSum32(1, 1, 1, 32));
+ EXPECT_EQ(SP32((UINT32_C(1) << 31) + 1, -32), getSum32(1, -1, 1, -32));
+ EXPECT_EQ(SP32(UINT32_C(1) << 31, 1), getSum32(UINT32_MAX, 0, 1, 0));
+
+ // Zero.
+ EXPECT_EQ(SP64(1, 0), getSum64(0, 0, 1, 0));
+ EXPECT_EQ(SP64(8, -3), getSum64(0, 0, 8, -3));
+ EXPECT_EQ(SP64(UINT64_MAX, 0), getSum64(0, 0, UINT64_MAX, 0));
+
+ // Basic.
+ EXPECT_EQ(SP64(2, 0), getSum64(1, 0, 1, 0));
+ EXPECT_EQ(SP64(3, 0), getSum64(1, 0, 2, 0));
+ EXPECT_EQ(SP64(67, 0), getSum64(7, 0, 60, 0));
+
+ // Different scales.
+ EXPECT_EQ(SP64(3, 0), getSum64(1, 0, 1, 1));
+ EXPECT_EQ(SP64(4, 0), getSum64(2, 0, 1, 1));
+
+ // Loss of precision.
+ EXPECT_EQ(SP64(UINT64_C(1) << 63, 1), getSum64(1, 64, 1, 0));
+ EXPECT_EQ(SP64(UINT64_C(1) << 63, -63), getSum64(1, -64, 1, 0));
+
+ // Not quite loss of precision.
+ EXPECT_EQ(SP64((UINT64_C(1) << 63) + 1, 1), getSum64(1, 64, 1, 1));
+ EXPECT_EQ(SP64((UINT64_C(1) << 63) + 1, -64), getSum64(1, -64, 1, -1));
+
+ // Overflow.
+ EXPECT_EQ(SP64(UINT64_C(1) << 63, 1), getSum64(1, 0, UINT64_MAX, 0));
+
+ // Reverse operand order.
+ EXPECT_EQ(SP64(1, 0), getSum64(1, 0, 0, 0));
+ EXPECT_EQ(SP64(8, -3), getSum64(8, -3, 0, 0));
+ EXPECT_EQ(SP64(UINT64_MAX, 0), getSum64(UINT64_MAX, 0, 0, 0));
+ EXPECT_EQ(SP64(3, 0), getSum64(2, 0, 1, 0));
+ EXPECT_EQ(SP64(67, 0), getSum64(60, 0, 7, 0));
+ EXPECT_EQ(SP64(3, 0), getSum64(1, 1, 1, 0));
+ EXPECT_EQ(SP64(4, 0), getSum64(1, 1, 2, 0));
+ EXPECT_EQ(SP64(UINT64_C(1) << 63, 1), getSum64(1, 0, 1, 64));
+ EXPECT_EQ(SP64(UINT64_C(1) << 63, -63), getSum64(1, 0, 1, -64));
+ EXPECT_EQ(SP64((UINT64_C(1) << 63) + 1, 1), getSum64(1, 1, 1, 64));
+ EXPECT_EQ(SP64((UINT64_C(1) << 63) + 1, -64), getSum64(1, -1, 1, -64));
+ EXPECT_EQ(SP64(UINT64_C(1) << 63, 1), getSum64(UINT64_MAX, 0, 1, 0));
+}
+
+TEST(ScaledNumberHelpersTest, getDifference) {
+ // Basic.
+ EXPECT_EQ(SP32(0, 0), getDifference32(1, 0, 1, 0));
+ EXPECT_EQ(SP32(1, 0), getDifference32(2, 0, 1, 0));
+ EXPECT_EQ(SP32(53, 0), getDifference32(60, 0, 7, 0));
+
+ // Equals "0", different scales.
+ EXPECT_EQ(SP32(0, 0), getDifference32(2, 0, 1, 1));
+
+ // Subtract "0".
+ EXPECT_EQ(SP32(1, 0), getDifference32(1, 0, 0, 0));
+ EXPECT_EQ(SP32(8, -3), getDifference32(8, -3, 0, 0));
+ EXPECT_EQ(SP32(UINT32_MAX, 0), getDifference32(UINT32_MAX, 0, 0, 0));
+
+ // Loss of precision.
+ EXPECT_EQ(SP32((UINT32_C(1) << 31) + 1, 1),
+ getDifference32((UINT32_C(1) << 31) + 1, 1, 1, 0));
+ EXPECT_EQ(SP32((UINT32_C(1) << 31) + 1, -31),
+ getDifference32((UINT32_C(1) << 31) + 1, -31, 1, -32));
+
+ // Not quite loss of precision.
+ EXPECT_EQ(SP32(UINT32_MAX, 0), getDifference32(1, 32, 1, 0));
+ EXPECT_EQ(SP32(UINT32_MAX, -32), getDifference32(1, 0, 1, -32));
+
+ // Saturate to "0".
+ EXPECT_EQ(SP32(0, 0), getDifference32(0, 0, 1, 0));
+ EXPECT_EQ(SP32(0, 0), getDifference32(0, 0, 8, -3));
+ EXPECT_EQ(SP32(0, 0), getDifference32(0, 0, UINT32_MAX, 0));
+ EXPECT_EQ(SP32(0, 0), getDifference32(7, 0, 60, 0));
+ EXPECT_EQ(SP32(0, 0), getDifference32(1, 0, 1, 1));
+ EXPECT_EQ(SP32(0, 0), getDifference32(1, -32, 1, 0));
+ EXPECT_EQ(SP32(0, 0), getDifference32(1, -32, 1, -1));
+
+ // Regression tests for cases that failed during bringup.
+ EXPECT_EQ(SP32(UINT32_C(1) << 26, -31),
+ getDifference32(1, 0, UINT32_C(31) << 27, -32));
+
+ // Basic.
+ EXPECT_EQ(SP64(0, 0), getDifference64(1, 0, 1, 0));
+ EXPECT_EQ(SP64(1, 0), getDifference64(2, 0, 1, 0));
+ EXPECT_EQ(SP64(53, 0), getDifference64(60, 0, 7, 0));
+
+ // Equals "0", different scales.
+ EXPECT_EQ(SP64(0, 0), getDifference64(2, 0, 1, 1));
+
+ // Subtract "0".
+ EXPECT_EQ(SP64(1, 0), getDifference64(1, 0, 0, 0));
+ EXPECT_EQ(SP64(8, -3), getDifference64(8, -3, 0, 0));
+ EXPECT_EQ(SP64(UINT64_MAX, 0), getDifference64(UINT64_MAX, 0, 0, 0));
+
+ // Loss of precision.
+ EXPECT_EQ(SP64((UINT64_C(1) << 63) + 1, 1),
+ getDifference64((UINT64_C(1) << 63) + 1, 1, 1, 0));
+ EXPECT_EQ(SP64((UINT64_C(1) << 63) + 1, -63),
+ getDifference64((UINT64_C(1) << 63) + 1, -63, 1, -64));
+
+ // Not quite loss of precision.
+ EXPECT_EQ(SP64(UINT64_MAX, 0), getDifference64(1, 64, 1, 0));
+ EXPECT_EQ(SP64(UINT64_MAX, -64), getDifference64(1, 0, 1, -64));
+
+ // Saturate to "0".
+ EXPECT_EQ(SP64(0, 0), getDifference64(0, 0, 1, 0));
+ EXPECT_EQ(SP64(0, 0), getDifference64(0, 0, 8, -3));
+ EXPECT_EQ(SP64(0, 0), getDifference64(0, 0, UINT64_MAX, 0));
+ EXPECT_EQ(SP64(0, 0), getDifference64(7, 0, 60, 0));
+ EXPECT_EQ(SP64(0, 0), getDifference64(1, 0, 1, 1));
+ EXPECT_EQ(SP64(0, 0), getDifference64(1, -64, 1, 0));
+ EXPECT_EQ(SP64(0, 0), getDifference64(1, -64, 1, -1));
}
+
+} // end namespace
projects / oota-llvm.git / blobdiff