// Copyright 2006-2008 the V8 project authors. All rights reserved. #include #include "cctest.h" #include "diy-fp.h" #include "fast-dtoa.h" #include "gay-precision.h" #include "gay-shortest.h" #include "gay-shortest-single.h" #include "ieee.h" #include "utils.h" using namespace double_conversion; static const int kBufferSize = 100; // Removes trailing '0' digits. static void TrimRepresentation(Vector representation) { int len = strlen(representation.start()); int i; for (i = len - 1; i >= 0; --i) { if (representation[i] != '0') break; } representation[i + 1] = '\0'; } TEST(FastDtoaShortestVariousDoubles) { char buffer_container[kBufferSize]; Vector buffer(buffer_container, kBufferSize); int length; int point; bool status; double min_double = 5e-324; status = FastDtoa(min_double, FAST_DTOA_SHORTEST, 0, buffer, &length, &point); CHECK(status); CHECK_EQ("5", buffer.start()); CHECK_EQ(-323, point); double max_double = 1.7976931348623157e308; status = FastDtoa(max_double, FAST_DTOA_SHORTEST, 0, buffer, &length, &point); CHECK(status); CHECK_EQ("17976931348623157", buffer.start()); CHECK_EQ(309, point); status = FastDtoa(4294967272.0, FAST_DTOA_SHORTEST, 0, buffer, &length, &point); CHECK(status); CHECK_EQ("4294967272", buffer.start()); CHECK_EQ(10, point); status = FastDtoa(4.1855804968213567e298, FAST_DTOA_SHORTEST, 0, buffer, &length, &point); CHECK(status); CHECK_EQ("4185580496821357", buffer.start()); CHECK_EQ(299, point); status = FastDtoa(5.5626846462680035e-309, FAST_DTOA_SHORTEST, 0, buffer, &length, &point); CHECK(status); CHECK_EQ("5562684646268003", buffer.start()); CHECK_EQ(-308, point); status = FastDtoa(2147483648.0, FAST_DTOA_SHORTEST, 0, buffer, &length, &point); CHECK(status); CHECK_EQ("2147483648", buffer.start()); CHECK_EQ(10, point); status = FastDtoa(3.5844466002796428e+298, FAST_DTOA_SHORTEST, 0, buffer, &length, &point); if (status) { // Not all FastDtoa variants manage to compute this number. CHECK_EQ("35844466002796428", buffer.start()); CHECK_EQ(299, point); } uint64_t smallest_normal64 = UINT64_2PART_C(0x00100000, 00000000); double v = Double(smallest_normal64).value(); status = FastDtoa(v, FAST_DTOA_SHORTEST, 0, buffer, &length, &point); if (status) { CHECK_EQ("22250738585072014", buffer.start()); CHECK_EQ(-307, point); } uint64_t largest_denormal64 = UINT64_2PART_C(0x000FFFFF, FFFFFFFF); v = Double(largest_denormal64).value(); status = FastDtoa(v, FAST_DTOA_SHORTEST, 0, buffer, &length, &point); if (status) { CHECK_EQ("2225073858507201", buffer.start()); CHECK_EQ(-307, point); } } TEST(FastDtoaShortestVariousFloats) { char buffer_container[kBufferSize]; Vector buffer(buffer_container, kBufferSize); int length; int point; bool status; float min_float = 1e-45f; status = FastDtoa(min_float, FAST_DTOA_SHORTEST_SINGLE, 0, buffer, &length, &point); CHECK(status); CHECK_EQ("1", buffer.start()); CHECK_EQ(-44, point); float max_float = 3.4028234e38f; status = FastDtoa(max_float, FAST_DTOA_SHORTEST_SINGLE, 0, buffer, &length, &point); CHECK(status); CHECK_EQ("34028235", buffer.start()); CHECK_EQ(39, point); status = FastDtoa(4294967272.0f, FAST_DTOA_SHORTEST_SINGLE, 0, buffer, &length, &point); CHECK(status); CHECK_EQ("42949673", buffer.start()); CHECK_EQ(10, point); status = FastDtoa(3.32306998946228968226e+35f, FAST_DTOA_SHORTEST_SINGLE, 0, buffer, &length, &point); CHECK(status); CHECK_EQ("332307", buffer.start()); CHECK_EQ(36, point); status = FastDtoa(1.2341e-41f, FAST_DTOA_SHORTEST_SINGLE, 0, buffer, &length, &point); CHECK(status); CHECK_EQ("12341", buffer.start()); CHECK_EQ(-40, point); status = FastDtoa(3.3554432e7, FAST_DTOA_SHORTEST_SINGLE, 0, buffer, &length, &point); CHECK(status); CHECK_EQ("33554432", buffer.start()); CHECK_EQ(8, point); status = FastDtoa(3.26494756798464e14f, FAST_DTOA_SHORTEST_SINGLE, 0, buffer, &length, &point); CHECK(status); CHECK_EQ("32649476", buffer.start()); CHECK_EQ(15, point); status = FastDtoa(3.91132223637771935344e37f, FAST_DTOA_SHORTEST_SINGLE, 0, buffer, &length, &point); if (status) { // Not all FastDtoa variants manage to compute this number. CHECK_EQ("39113222", buffer.start()); CHECK_EQ(38, point); } uint32_t smallest_normal32 = 0x00800000; float v = Single(smallest_normal32).value(); status = FastDtoa(v, FAST_DTOA_SHORTEST_SINGLE, 0, buffer, &length, &point); if (status) { CHECK_EQ("11754944", buffer.start()); CHECK_EQ(-37, point); } uint32_t largest_denormal32 = 0x007FFFFF; v = Single(largest_denormal32).value(); status = FastDtoa(v, FAST_DTOA_SHORTEST_SINGLE, 0, buffer, &length, &point); CHECK(status); CHECK_EQ("11754942", buffer.start()); CHECK_EQ(-37, point); } TEST(FastDtoaPrecisionVariousDoubles) { char buffer_container[kBufferSize]; Vector buffer(buffer_container, kBufferSize); int length; int point; bool status; status = FastDtoa(1.0, FAST_DTOA_PRECISION, 3, buffer, &length, &point); CHECK(status); CHECK(3 >= length); TrimRepresentation(buffer); CHECK_EQ("1", buffer.start()); CHECK_EQ(1, point); status = FastDtoa(1.5, FAST_DTOA_PRECISION, 10, buffer, &length, &point); if (status) { CHECK(10 >= length); TrimRepresentation(buffer); CHECK_EQ("15", buffer.start()); CHECK_EQ(1, point); } double min_double = 5e-324; status = FastDtoa(min_double, FAST_DTOA_PRECISION, 5, buffer, &length, &point); CHECK(status); CHECK_EQ("49407", buffer.start()); CHECK_EQ(-323, point); double max_double = 1.7976931348623157e308; status = FastDtoa(max_double, FAST_DTOA_PRECISION, 7, buffer, &length, &point); CHECK(status); CHECK_EQ("1797693", buffer.start()); CHECK_EQ(309, point); status = FastDtoa(4294967272.0, FAST_DTOA_PRECISION, 14, buffer, &length, &point); if (status) { CHECK(14 >= length); TrimRepresentation(buffer); CHECK_EQ("4294967272", buffer.start()); CHECK_EQ(10, point); } status = FastDtoa(4.1855804968213567e298, FAST_DTOA_PRECISION, 17, buffer, &length, &point); CHECK(status); CHECK_EQ("41855804968213567", buffer.start()); CHECK_EQ(299, point); status = FastDtoa(5.5626846462680035e-309, FAST_DTOA_PRECISION, 1, buffer, &length, &point); CHECK(status); CHECK_EQ("6", buffer.start()); CHECK_EQ(-308, point); status = FastDtoa(2147483648.0, FAST_DTOA_PRECISION, 5, buffer, &length, &point); CHECK(status); CHECK_EQ("21475", buffer.start()); CHECK_EQ(10, point); status = FastDtoa(3.5844466002796428e+298, FAST_DTOA_PRECISION, 10, buffer, &length, &point); CHECK(status); CHECK(10 >= length); TrimRepresentation(buffer); CHECK_EQ("35844466", buffer.start()); CHECK_EQ(299, point); uint64_t smallest_normal64 = UINT64_2PART_C(0x00100000, 00000000); double v = Double(smallest_normal64).value(); status = FastDtoa(v, FAST_DTOA_PRECISION, 17, buffer, &length, &point); CHECK(status); CHECK_EQ("22250738585072014", buffer.start()); CHECK_EQ(-307, point); uint64_t largest_denormal64 = UINT64_2PART_C(0x000FFFFF, FFFFFFFF); v = Double(largest_denormal64).value(); status = FastDtoa(v, FAST_DTOA_PRECISION, 17, buffer, &length, &point); CHECK(status); CHECK(20 >= length); TrimRepresentation(buffer); CHECK_EQ("22250738585072009", buffer.start()); CHECK_EQ(-307, point); v = 3.3161339052167390562200598e-237; status = FastDtoa(v, FAST_DTOA_PRECISION, 18, buffer, &length, &point); CHECK(status); CHECK_EQ("331613390521673906", buffer.start()); CHECK_EQ(-236, point); v = 7.9885183916008099497815232e+191; status = FastDtoa(v, FAST_DTOA_PRECISION, 4, buffer, &length, &point); CHECK(status); CHECK_EQ("7989", buffer.start()); CHECK_EQ(192, point); } TEST(FastDtoaGayShortest) { char buffer_container[kBufferSize]; Vector buffer(buffer_container, kBufferSize); bool status; int length; int point; int succeeded = 0; int total = 0; bool needed_max_length = false; Vector precomputed = PrecomputedShortestRepresentations(); for (int i = 0; i < precomputed.length(); ++i) { const PrecomputedShortest current_test = precomputed[i]; total++; double v = current_test.v; status = FastDtoa(v, FAST_DTOA_SHORTEST, 0, buffer, &length, &point); CHECK(kFastDtoaMaximalLength >= length); if (!status) continue; if (length == kFastDtoaMaximalLength) needed_max_length = true; succeeded++; CHECK_EQ(current_test.decimal_point, point); CHECK_EQ(current_test.representation, buffer.start()); } CHECK(succeeded*1.0/total > 0.99); CHECK(needed_max_length); } TEST(FastDtoaGayShortestSingle) { char buffer_container[kBufferSize]; Vector buffer(buffer_container, kBufferSize); bool status; int length; int point; int succeeded = 0; int total = 0; bool needed_max_length = false; Vector precomputed = PrecomputedShortestSingleRepresentations(); for (int i = 0; i < precomputed.length(); ++i) { const PrecomputedShortestSingle current_test = precomputed[i]; total++; float v = current_test.v; status = FastDtoa(v, FAST_DTOA_SHORTEST_SINGLE, 0, buffer, &length, &point); CHECK(kFastDtoaMaximalSingleLength >= length); if (!status) continue; if (length == kFastDtoaMaximalSingleLength) needed_max_length = true; succeeded++; CHECK_EQ(current_test.decimal_point, point); CHECK_EQ(current_test.representation, buffer.start()); } CHECK(succeeded*1.0/total > 0.98); CHECK(needed_max_length); } TEST(FastDtoaGayPrecision) { char buffer_container[kBufferSize]; Vector buffer(buffer_container, kBufferSize); bool status; int length; int point; int succeeded = 0; int total = 0; // Count separately for entries with less than 15 requested digits. int succeeded_15 = 0; int total_15 = 0; Vector precomputed = PrecomputedPrecisionRepresentations(); for (int i = 0; i < precomputed.length(); ++i) { const PrecomputedPrecision current_test = precomputed[i]; double v = current_test.v; int number_digits = current_test.number_digits; total++; if (number_digits <= 15) total_15++; status = FastDtoa(v, FAST_DTOA_PRECISION, number_digits, buffer, &length, &point); CHECK(number_digits >= length); if (!status) continue; succeeded++; if (number_digits <= 15) succeeded_15++; TrimRepresentation(buffer); CHECK_EQ(current_test.decimal_point, point); CHECK_EQ(current_test.representation, buffer.start()); } // The precomputed numbers contain many entries with many requested // digits. These have a high failure rate and we therefore expect a lower // success rate than for the shortest representation. CHECK(succeeded*1.0/total > 0.85); // However with less than 15 digits almost the algorithm should almost always // succeed. CHECK(succeeded_15*1.0/total_15 > 0.9999); }