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- // Copyright 2006-2008 the V8 project authors. All rights reserved.
- #include <stdlib.h>
- #include "cctest.h"
- #include "diy-fp.h"
- #include "ieee.h"
- #include "utils.h"
- #include "../../src/ieee.h"
- using namespace double_conversion;
- TEST(Uint64Conversions) {
- // Start by checking the byte-order.
- uint64_t ordered = UINT64_2PART_C(0x01234567, 89ABCDEF);
- CHECK_EQ(3512700564088504e-318, Double(ordered).value());
- uint64_t min_double64 = UINT64_2PART_C(0x00000000, 00000001);
- CHECK_EQ(5e-324, Double(min_double64).value());
- uint64_t max_double64 = UINT64_2PART_C(0x7fefffff, ffffffff);
- CHECK_EQ(1.7976931348623157e308, Double(max_double64).value());
- }
- TEST(Uint32Conversions) {
- // Start by checking the byte-order.
- uint32_t ordered = 0x01234567;
- CHECK_EQ(2.9988165487136453e-38f, Single(ordered).value());
- uint32_t min_float32 = 0x00000001;
- CHECK_EQ(1.4e-45f, Single(min_float32).value());
- uint32_t max_float32 = 0x7f7fffff;
- CHECK_EQ(3.4028234e38f, Single(max_float32).value());
- }
- TEST(Double_AsDiyFp) {
- uint64_t ordered = UINT64_2PART_C(0x01234567, 89ABCDEF);
- DiyFp diy_fp = Double(ordered).AsDiyFp();
- CHECK_EQ(0x12 - 0x3FF - 52, diy_fp.e());
- // The 52 mantissa bits, plus the implicit 1 in bit 52 as a UINT64.
- CHECK(UINT64_2PART_C(0x00134567, 89ABCDEF) == diy_fp.f()); // NOLINT
- uint64_t min_double64 = UINT64_2PART_C(0x00000000, 00000001);
- diy_fp = Double(min_double64).AsDiyFp();
- CHECK_EQ(-0x3FF - 52 + 1, diy_fp.e());
- // This is a denormal; so no hidden bit.
- CHECK(1 == diy_fp.f()); // NOLINT
- uint64_t max_double64 = UINT64_2PART_C(0x7fefffff, ffffffff);
- diy_fp = Double(max_double64).AsDiyFp();
- CHECK_EQ(0x7FE - 0x3FF - 52, diy_fp.e());
- CHECK(UINT64_2PART_C(0x001fffff, ffffffff) == diy_fp.f()); // NOLINT
- }
- TEST(Single_AsDiyFp) {
- uint32_t ordered = 0x01234567;
- DiyFp diy_fp = Single(ordered).AsDiyFp();
- CHECK_EQ(0x2 - 0x7F - 23, diy_fp.e());
- // The 23 mantissa bits, plus the implicit 1 in bit 24 as a uint32_t.
- CHECK_EQ(0xA34567, diy_fp.f());
- uint32_t min_float32 = 0x00000001;
- diy_fp = Single(min_float32).AsDiyFp();
- CHECK_EQ(-0x7F - 23 + 1, diy_fp.e());
- // This is a denormal; so no hidden bit.
- CHECK_EQ(1, diy_fp.f());
- uint32_t max_float32 = 0x7f7fffff;
- diy_fp = Single(max_float32).AsDiyFp();
- CHECK_EQ(0xFE - 0x7F - 23, diy_fp.e());
- CHECK_EQ(0x00ffffff, diy_fp.f());
- }
- TEST(AsNormalizedDiyFp) {
- uint64_t ordered = UINT64_2PART_C(0x01234567, 89ABCDEF);
- DiyFp diy_fp = Double(ordered).AsNormalizedDiyFp();
- CHECK_EQ(0x12 - 0x3FF - 52 - 11, diy_fp.e());
- CHECK((UINT64_2PART_C(0x00134567, 89ABCDEF) << 11) ==
- diy_fp.f()); // NOLINT
- uint64_t min_double64 = UINT64_2PART_C(0x00000000, 00000001);
- diy_fp = Double(min_double64).AsNormalizedDiyFp();
- CHECK_EQ(-0x3FF - 52 + 1 - 63, diy_fp.e());
- // This is a denormal; so no hidden bit.
- CHECK(UINT64_2PART_C(0x80000000, 00000000) == diy_fp.f()); // NOLINT
- uint64_t max_double64 = UINT64_2PART_C(0x7fefffff, ffffffff);
- diy_fp = Double(max_double64).AsNormalizedDiyFp();
- CHECK_EQ(0x7FE - 0x3FF - 52 - 11, diy_fp.e());
- CHECK((UINT64_2PART_C(0x001fffff, ffffffff) << 11) ==
- diy_fp.f()); // NOLINT
- }
- TEST(Double_IsDenormal) {
- uint64_t min_double64 = UINT64_2PART_C(0x00000000, 00000001);
- CHECK(Double(min_double64).IsDenormal());
- uint64_t bits = UINT64_2PART_C(0x000FFFFF, FFFFFFFF);
- CHECK(Double(bits).IsDenormal());
- bits = UINT64_2PART_C(0x00100000, 00000000);
- CHECK(!Double(bits).IsDenormal());
- }
- TEST(Single_IsDenormal) {
- uint32_t min_float32 = 0x00000001;
- CHECK(Single(min_float32).IsDenormal());
- uint32_t bits = 0x007FFFFF;
- CHECK(Single(bits).IsDenormal());
- bits = 0x00800000;
- CHECK(!Single(bits).IsDenormal());
- }
- TEST(Double_IsSpecial) {
- CHECK(Double(Double::Infinity()).IsSpecial());
- CHECK(Double(-Double::Infinity()).IsSpecial());
- CHECK(Double(Double::NaN()).IsSpecial());
- uint64_t bits = UINT64_2PART_C(0xFFF12345, 00000000);
- CHECK(Double(bits).IsSpecial());
- // Denormals are not special:
- CHECK(!Double(5e-324).IsSpecial());
- CHECK(!Double(-5e-324).IsSpecial());
- // And some random numbers:
- CHECK(!Double(0.0).IsSpecial());
- CHECK(!Double(-0.0).IsSpecial());
- CHECK(!Double(1.0).IsSpecial());
- CHECK(!Double(-1.0).IsSpecial());
- CHECK(!Double(1000000.0).IsSpecial());
- CHECK(!Double(-1000000.0).IsSpecial());
- CHECK(!Double(1e23).IsSpecial());
- CHECK(!Double(-1e23).IsSpecial());
- CHECK(!Double(1.7976931348623157e308).IsSpecial());
- CHECK(!Double(-1.7976931348623157e308).IsSpecial());
- }
- TEST(Single_IsSpecial) {
- CHECK(Single(Single::Infinity()).IsSpecial());
- CHECK(Single(-Single::Infinity()).IsSpecial());
- CHECK(Single(Single::NaN()).IsSpecial());
- uint32_t bits = 0xFFF12345;
- CHECK(Single(bits).IsSpecial());
- // Denormals are not special:
- CHECK(!Single(1.4e-45f).IsSpecial());
- CHECK(!Single(-1.4e-45f).IsSpecial());
- // And some random numbers:
- CHECK(!Single(0.0f).IsSpecial());
- CHECK(!Single(-0.0f).IsSpecial());
- CHECK(!Single(1.0f).IsSpecial());
- CHECK(!Single(-1.0f).IsSpecial());
- CHECK(!Single(1000000.0f).IsSpecial());
- CHECK(!Single(-1000000.0f).IsSpecial());
- CHECK(!Single(1e23f).IsSpecial());
- CHECK(!Single(-1e23f).IsSpecial());
- CHECK(!Single(1.18e-38f).IsSpecial());
- CHECK(!Single(-1.18e-38f).IsSpecial());
- }
- TEST(Double_IsInfinite) {
- CHECK(Double(Double::Infinity()).IsInfinite());
- CHECK(Double(-Double::Infinity()).IsInfinite());
- CHECK(!Double(Double::NaN()).IsInfinite());
- CHECK(!Double(0.0).IsInfinite());
- CHECK(!Double(-0.0).IsInfinite());
- CHECK(!Double(1.0).IsInfinite());
- CHECK(!Double(-1.0).IsInfinite());
- uint64_t min_double64 = UINT64_2PART_C(0x00000000, 00000001);
- CHECK(!Double(min_double64).IsInfinite());
- }
- TEST(Single_IsInfinite) {
- CHECK(Single(Single::Infinity()).IsInfinite());
- CHECK(Single(-Single::Infinity()).IsInfinite());
- CHECK(!Single(Single::NaN()).IsInfinite());
- CHECK(!Single(0.0f).IsInfinite());
- CHECK(!Single(-0.0f).IsInfinite());
- CHECK(!Single(1.0f).IsInfinite());
- CHECK(!Single(-1.0f).IsInfinite());
- uint32_t min_float32 = 0x00000001;
- CHECK(!Single(min_float32).IsInfinite());
- }
- TEST(Double_IsNan) {
- CHECK(Double(Double::NaN()).IsNan());
- uint64_t other_nan = UINT64_2PART_C(0xFFFFFFFF, 00000001);
- CHECK(Double(other_nan).IsNan());
- CHECK(!Double(Double::Infinity()).IsNan());
- CHECK(!Double(-Double::Infinity()).IsNan());
- CHECK(!Double(0.0).IsNan());
- CHECK(!Double(-0.0).IsNan());
- CHECK(!Double(1.0).IsNan());
- CHECK(!Double(-1.0).IsNan());
- uint64_t min_double64 = UINT64_2PART_C(0x00000000, 00000001);
- CHECK(!Double(min_double64).IsNan());
- }
- TEST(Single_IsNan) {
- CHECK(Single(Single::NaN()).IsNan());
- uint32_t other_nan = 0xFFFFF001;
- CHECK(Single(other_nan).IsNan());
- CHECK(!Single(Single::Infinity()).IsNan());
- CHECK(!Single(-Single::Infinity()).IsNan());
- CHECK(!Single(0.0f).IsNan());
- CHECK(!Single(-0.0f).IsNan());
- CHECK(!Single(1.0f).IsNan());
- CHECK(!Single(-1.0f).IsNan());
- uint32_t min_float32 = 0x00000001;
- CHECK(!Single(min_float32).IsNan());
- }
- TEST(Double_Sign) {
- CHECK_EQ(1, Double(1.0).Sign());
- CHECK_EQ(1, Double(Double::Infinity()).Sign());
- CHECK_EQ(-1, Double(-Double::Infinity()).Sign());
- CHECK_EQ(1, Double(0.0).Sign());
- CHECK_EQ(-1, Double(-0.0).Sign());
- uint64_t min_double64 = UINT64_2PART_C(0x00000000, 00000001);
- CHECK_EQ(1, Double(min_double64).Sign());
- }
- TEST(Single_Sign) {
- CHECK_EQ(1, Single(1.0f).Sign());
- CHECK_EQ(1, Single(Single::Infinity()).Sign());
- CHECK_EQ(-1, Single(-Single::Infinity()).Sign());
- CHECK_EQ(1, Single(0.0f).Sign());
- CHECK_EQ(-1, Single(-0.0f).Sign());
- uint32_t min_float32 = 0x00000001;
- CHECK_EQ(1, Single(min_float32).Sign());
- }
- TEST(Double_NormalizedBoundaries) {
- DiyFp boundary_plus;
- DiyFp boundary_minus;
- DiyFp diy_fp = Double(1.5).AsNormalizedDiyFp();
- Double(1.5).NormalizedBoundaries(&boundary_minus, &boundary_plus);
- CHECK_EQ(diy_fp.e(), boundary_minus.e());
- CHECK_EQ(diy_fp.e(), boundary_plus.e());
- // 1.5 does not have a significand of the form 2^p (for some p).
- // Therefore its boundaries are at the same distance.
- CHECK(diy_fp.f() - boundary_minus.f() == boundary_plus.f() - diy_fp.f());
- CHECK((1 << 10) == diy_fp.f() - boundary_minus.f()); // NOLINT
- diy_fp = Double(1.0).AsNormalizedDiyFp();
- Double(1.0).NormalizedBoundaries(&boundary_minus, &boundary_plus);
- CHECK_EQ(diy_fp.e(), boundary_minus.e());
- CHECK_EQ(diy_fp.e(), boundary_plus.e());
- // 1.0 does have a significand of the form 2^p (for some p).
- // Therefore its lower boundary is twice as close as the upper boundary.
- CHECK(boundary_plus.f() - diy_fp.f() > diy_fp.f() - boundary_minus.f());
- CHECK((1 << 9) == diy_fp.f() - boundary_minus.f()); // NOLINT
- CHECK((1 << 10) == boundary_plus.f() - diy_fp.f()); // NOLINT
- uint64_t min_double64 = UINT64_2PART_C(0x00000000, 00000001);
- diy_fp = Double(min_double64).AsNormalizedDiyFp();
- Double(min_double64).NormalizedBoundaries(&boundary_minus, &boundary_plus);
- CHECK_EQ(diy_fp.e(), boundary_minus.e());
- CHECK_EQ(diy_fp.e(), boundary_plus.e());
- // min-value does not have a significand of the form 2^p (for some p).
- // Therefore its boundaries are at the same distance.
- CHECK(diy_fp.f() - boundary_minus.f() == boundary_plus.f() - diy_fp.f());
- // Denormals have their boundaries much closer.
- CHECK((static_cast<uint64_t>(1) << 62) ==
- diy_fp.f() - boundary_minus.f()); // NOLINT
- uint64_t smallest_normal64 = UINT64_2PART_C(0x00100000, 00000000);
- diy_fp = Double(smallest_normal64).AsNormalizedDiyFp();
- Double(smallest_normal64).NormalizedBoundaries(&boundary_minus,
- &boundary_plus);
- CHECK_EQ(diy_fp.e(), boundary_minus.e());
- CHECK_EQ(diy_fp.e(), boundary_plus.e());
- // Even though the significand is of the form 2^p (for some p), its boundaries
- // are at the same distance. (This is the only exception).
- CHECK(diy_fp.f() - boundary_minus.f() == boundary_plus.f() - diy_fp.f());
- CHECK((1 << 10) == diy_fp.f() - boundary_minus.f()); // NOLINT
- uint64_t largest_denormal64 = UINT64_2PART_C(0x000FFFFF, FFFFFFFF);
- diy_fp = Double(largest_denormal64).AsNormalizedDiyFp();
- Double(largest_denormal64).NormalizedBoundaries(&boundary_minus,
- &boundary_plus);
- CHECK_EQ(diy_fp.e(), boundary_minus.e());
- CHECK_EQ(diy_fp.e(), boundary_plus.e());
- CHECK(diy_fp.f() - boundary_minus.f() == boundary_plus.f() - diy_fp.f());
- CHECK((1 << 11) == diy_fp.f() - boundary_minus.f()); // NOLINT
- uint64_t max_double64 = UINT64_2PART_C(0x7fefffff, ffffffff);
- diy_fp = Double(max_double64).AsNormalizedDiyFp();
- Double(max_double64).NormalizedBoundaries(&boundary_minus, &boundary_plus);
- CHECK_EQ(diy_fp.e(), boundary_minus.e());
- CHECK_EQ(diy_fp.e(), boundary_plus.e());
- // max-value does not have a significand of the form 2^p (for some p).
- // Therefore its boundaries are at the same distance.
- CHECK(diy_fp.f() - boundary_minus.f() == boundary_plus.f() - diy_fp.f());
- CHECK((1 << 10) == diy_fp.f() - boundary_minus.f()); // NOLINT
- }
- TEST(Single_NormalizedBoundaries) {
- uint64_t kOne64 = 1;
- DiyFp boundary_plus;
- DiyFp boundary_minus;
- DiyFp diy_fp = Single(1.5f).AsDiyFp();
- diy_fp.Normalize();
- Single(1.5f).NormalizedBoundaries(&boundary_minus, &boundary_plus);
- CHECK_EQ(diy_fp.e(), boundary_minus.e());
- CHECK_EQ(diy_fp.e(), boundary_plus.e());
- // 1.5 does not have a significand of the form 2^p (for some p).
- // Therefore its boundaries are at the same distance.
- CHECK(diy_fp.f() - boundary_minus.f() == boundary_plus.f() - diy_fp.f());
- // Normalization shifts the significand by 8 bits. Add 32 bits for the bigger
- // data-type, and remove 1 because boundaries are at half a ULP.
- CHECK((kOne64 << 39) == diy_fp.f() - boundary_minus.f());
- diy_fp = Single(1.0f).AsDiyFp();
- diy_fp.Normalize();
- Single(1.0f).NormalizedBoundaries(&boundary_minus, &boundary_plus);
- CHECK_EQ(diy_fp.e(), boundary_minus.e());
- CHECK_EQ(diy_fp.e(), boundary_plus.e());
- // 1.0 does have a significand of the form 2^p (for some p).
- // Therefore its lower boundary is twice as close as the upper boundary.
- CHECK(boundary_plus.f() - diy_fp.f() > diy_fp.f() - boundary_minus.f());
- CHECK((kOne64 << 38) == diy_fp.f() - boundary_minus.f()); // NOLINT
- CHECK((kOne64 << 39) == boundary_plus.f() - diy_fp.f()); // NOLINT
- uint32_t min_float32 = 0x00000001;
- diy_fp = Single(min_float32).AsDiyFp();
- diy_fp.Normalize();
- Single(min_float32).NormalizedBoundaries(&boundary_minus, &boundary_plus);
- CHECK_EQ(diy_fp.e(), boundary_minus.e());
- CHECK_EQ(diy_fp.e(), boundary_plus.e());
- // min-value does not have a significand of the form 2^p (for some p).
- // Therefore its boundaries are at the same distance.
- CHECK(diy_fp.f() - boundary_minus.f() == boundary_plus.f() - diy_fp.f());
- // Denormals have their boundaries much closer.
- CHECK((kOne64 << 62) == diy_fp.f() - boundary_minus.f()); // NOLINT
- uint32_t smallest_normal32 = 0x00800000;
- diy_fp = Single(smallest_normal32).AsDiyFp();
- diy_fp.Normalize();
- Single(smallest_normal32).NormalizedBoundaries(&boundary_minus,
- &boundary_plus);
- CHECK_EQ(diy_fp.e(), boundary_minus.e());
- CHECK_EQ(diy_fp.e(), boundary_plus.e());
- // Even though the significand is of the form 2^p (for some p), its boundaries
- // are at the same distance. (This is the only exception).
- CHECK(diy_fp.f() - boundary_minus.f() == boundary_plus.f() - diy_fp.f());
- CHECK((kOne64 << 39) == diy_fp.f() - boundary_minus.f()); // NOLINT
- uint32_t largest_denormal32 = 0x007FFFFF;
- diy_fp = Single(largest_denormal32).AsDiyFp();
- diy_fp.Normalize();
- Single(largest_denormal32).NormalizedBoundaries(&boundary_minus,
- &boundary_plus);
- CHECK_EQ(diy_fp.e(), boundary_minus.e());
- CHECK_EQ(diy_fp.e(), boundary_plus.e());
- CHECK(diy_fp.f() - boundary_minus.f() == boundary_plus.f() - diy_fp.f());
- CHECK((kOne64 << 40) == diy_fp.f() - boundary_minus.f()); // NOLINT
- uint32_t max_float32 = 0x7f7fffff;
- diy_fp = Single(max_float32).AsDiyFp();
- diy_fp.Normalize();
- Single(max_float32).NormalizedBoundaries(&boundary_minus, &boundary_plus);
- CHECK_EQ(diy_fp.e(), boundary_minus.e());
- CHECK_EQ(diy_fp.e(), boundary_plus.e());
- // max-value does not have a significand of the form 2^p (for some p).
- // Therefore its boundaries are at the same distance.
- CHECK(diy_fp.f() - boundary_minus.f() == boundary_plus.f() - diy_fp.f());
- CHECK((kOne64 << 39) == diy_fp.f() - boundary_minus.f()); // NOLINT
- }
- TEST(NextDouble) {
- CHECK_EQ(4e-324, Double(0.0).NextDouble());
- CHECK_EQ(0.0, Double(-0.0).NextDouble());
- CHECK_EQ(-0.0, Double(-4e-324).NextDouble());
- CHECK(Double(Double(-0.0).NextDouble()).Sign() > 0);
- CHECK(Double(Double(-4e-324).NextDouble()).Sign() < 0);
- Double d0(-4e-324);
- Double d1(d0.NextDouble());
- Double d2(d1.NextDouble());
- CHECK_EQ(-0.0, d1.value());
- CHECK(d1.Sign() < 0);
- CHECK_EQ(0.0, d2.value());
- CHECK(d2.Sign() > 0);
- CHECK_EQ(4e-324, d2.NextDouble());
- CHECK_EQ(-1.7976931348623157e308, Double(-Double::Infinity()).NextDouble());
- CHECK_EQ(Double::Infinity(),
- Double(UINT64_2PART_C(0x7fefffff, ffffffff)).NextDouble());
- }
- TEST(PreviousDouble) {
- CHECK_EQ(0.0, Double(4e-324).PreviousDouble());
- CHECK_EQ(-0.0, Double(0.0).PreviousDouble());
- CHECK(Double(Double(0.0).PreviousDouble()).Sign() < 0);
- CHECK_EQ(-4e-324, Double(-0.0).PreviousDouble());
- Double d0(4e-324);
- Double d1(d0.PreviousDouble());
- Double d2(d1.PreviousDouble());
- CHECK_EQ(0.0, d1.value());
- CHECK(d1.Sign() > 0);
- CHECK_EQ(-0.0, d2.value());
- CHECK(d2.Sign() < 0);
- CHECK_EQ(-4e-324, d2.PreviousDouble());
- CHECK_EQ(1.7976931348623157e308, Double(Double::Infinity()).PreviousDouble());
- CHECK_EQ(-Double::Infinity(),
- Double(UINT64_2PART_C(0xffefffff, ffffffff)).PreviousDouble());
- }
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