ab3552a189
-- f13697e3d33803f9667d124072da4f6dd8bfbf85 by Andy Soffer <asoffer@google.com>: Addressing https://github.com/abseil/abseil-cpp/issues/314, fixing CMakeLists.txt to reference ABSL_TEST_COPTS rather than ABSL_DEFAULT_COPTS. ABSL_TEST_COPTS should be preferred for all tests so that they are configured consistently (moreover, CMake should agree with Bazel). PiperOrigin-RevId: 274932312 -- c31c24a1fa6bb98136adf51ef37c0818ac366690 by Derek Mauro <dmauro@google.com>: Silence MSAN in the stack consumption test utility PiperOrigin-RevId: 274912950 -- 2412913c05a246cd527cd4c31452f126e9129f3a by CJ Johnson <johnsoncj@google.com>: Internal change PiperOrigin-RevId: 274847103 -- 75e984a93b5760873501b96ac3229ccfd955daf8 by Abseil Team <absl-team@google.com>: Reformat BUILD file to current standards. PiperOrigin-RevId: 274815392 -- a2780e085f1df1e4ca2c814a58c893d1b78a1d9c by Samuel Benzaquen <sbenza@google.com>: Fix invalid result regarding leading zeros in the exponent. PiperOrigin-RevId: 274808017 -- dd402e1cb5c4ebacb576372ae24bf289d729d323 by Samuel Benzaquen <sbenza@google.com>: Make string_view's relational operators constexpr when possible. PiperOrigin-RevId: 274807873 -- b4ef32565653a5da1cb8bb8d0351586d23519658 by Abseil Team <absl-team@google.com>: Internal rework. PiperOrigin-RevId: 274787159 -- 70d81971c5914e6785b8e8a9d4f6eb2655dd62c0 by Gennadiy Rozental <rogeeff@google.com>: Internal rework. PiperOrigin-RevId: 274715557 -- 14f5b0440e353b899cafaaa15b53e77f98f401af by Gennadiy Rozental <rogeeff@google.com>: Make deprecated statements about ParseFLag/UnparseFlag consistent in a file. PiperOrigin-RevId: 274668123 -- 2e85adbdbb92612e4d750bc34fbca3333128b42d by Abseil Team <absl-team@google.com>: Allow absl::c_equal to be used with arrays. This is achieved by allowing container size computation for arrays. PiperOrigin-RevId: 274426830 -- 219719f107226d328773e6cec99fb473f5d3119c by Gennadiy Rozental <rogeeff@google.com>: Release correct extension interfaces to support usage of absl::Time and absl::Duration as ABSL_FLAG PiperOrigin-RevId: 274273788 -- 47a77f93fda23b69b4a6bdbd506fe643c69a5579 by Gennadiy Rozental <rogeeff@google.com>: Rework of flags persistence/FlagSaver internals. PiperOrigin-RevId: 274225213 -- 7807be3fe757c19e3b0c487298387683d4c9f5b3 by Abseil Team <absl-team@google.com>: Switch reference to sdkddkver.h to lowercase, matching conventions used in the Windows SDK and other uses. This helps to avoid confusion on case-sensitive filesystems. PiperOrigin-RevId: 274061877 -- 561304090087a19f1d10f0475f564fe132ebf06e by Andy Getzendanner <durandal@google.com>: Fix ABSL_WAITER_MODE detection for mingw Import of https://github.com/abseil/abseil-cpp/pull/342 PiperOrigin-RevId: 274030071 -- 9b3caac2cf202b9d440dfa1b4ffd538ac4bf715b by Derek Mauro <dmauro@google.com>: Support using Abseil with the musl libc implementation. Only test changes were required: * Workaround for a bug in sigaltstack() on musl * printf-style pointer formatting (%p) is implementation defined, so verify StrFromat produces something compatible * Fix detection of feenableexcept() PiperOrigin-RevId: 274011666 -- 73e8a938fc139e1cc8670d4513a445bacc855539 by Abseil Team <absl-team@google.com>: nvcc workaround: explicitly specify the definition of node_handle::Base PiperOrigin-RevId: 274011392 -- ab9cc6d042aca7d48e16c504ab10eab39433f4b2 by Andy Soffer <asoffer@google.com>: Internal change PiperOrigin-RevId: 273996318 -- e567c4979ca99c7e71821ec1523b8f5edd2c76ac by Abseil Team <absl-team@google.com>: Introduce a type alias to work around an nvcc bug. On the previous code, nvcc gets confused thinking that T has to be a parameter pack, as IsDecomposable accepts one. PiperOrigin-RevId: 273980472 -- 105b6e6339b77a32f4432de05f44cd3f9c436751 by Eric Fiselier <ericwf@google.com>: Import of CCTZ from GitHub. PiperOrigin-RevId: 273955589 -- 8feb87ff1d7e721fe094855e67c19539d5e582b7 by Abseil Team <absl-team@google.com>: Avoid dual-exporting scheduling_mode.h PiperOrigin-RevId: 273825112 -- fbc37854776d295dae98fb9d06a541f296daab95 by Andy Getzendanner <durandal@google.com>: Fix ABSL_HAVE_ALARM check on mingw Import of https://github.com/abseil/abseil-cpp/pull/341 PiperOrigin-RevId: 273817839 -- 6aedcd63a735b9133e143b043744ba0a25407f6f by Andy Soffer <asoffer@google.com>: Remove bit_gen_view.h now that all callers have been migrated to bit_gen_ref.h Tested: TGP - https://test.corp.google.com/ui#id=OCL:273762409:BASE:273743370:1570639020744:3001bcb5 PiperOrigin-RevId: 273810331 -- 6573de24a66ba715c579f7f32b5c48a1d743c7f8 by Abseil Team <absl-team@google.com>: Internal change. PiperOrigin-RevId: 273589963 -- 91c8c28b6dca26d98b39e8e06a8ed17c701ff793 by Abseil Team <absl-team@google.com>: Update macro name for `ABSL_GUARDED_BY()` in the example section. PiperOrigin-RevId: 273286983 -- 0ff7d1a93d70f8ecd693f8dbb98b7a4a016ca2a4 by Abseil Team <absl-team@google.com>: Fix potential integer overflow in the absl time library. In absl::FromTM, the tm.tm_year is added by 1900 regarding that tm.tm_year represents the years since 1900. This change checks integer overflow before doing the arithmetic operation. PiperOrigin-RevId: 273092952 -- b41c2a1310086807be09a833099ae6d4009f037c by Gennadiy Rozental <rogeeff@google.com>: Correctly Unlock the global mutex in case of concurrent flag initialization. Fixes #386 PiperOrigin-RevId: 272979749 -- c53103e71b2a6063af3c6d4ff68aa2d8f9ae9e06 by Abseil Team <absl-team@google.com>: Try to become idle only when there is no wakeup. Immediately after waking up (when futex wait returns), the current thread tries to become idle doing bunch of memory loads and a branch. Problem is that there is a good chance that we woke up due to a wakeup, especially for actively used threads. For such wakeups, calling MaybeBecomeIdle() would be a waste of cycles. Instead, call MaybeBecomeIdle() only when we are sure there is no wakeup. For idle threads the net effect should be the same. For active, threads this will be more efficient. Moreover, since MaybeBecomeIdle() is called before waiting on the futex, the current thread will try to become idle before sleeping. This should result in more accurate idleness and more efficient release of thread resources. PiperOrigin-RevId: 272940381 GitOrigin-RevId: f13697e3d33803f9667d124072da4f6dd8bfbf85 Change-Id: I36de05aec12595183725652dd362dfa58fb095d0
780 lines
34 KiB
C++
780 lines
34 KiB
C++
// Copyright 2018 The Abseil Authors.
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//
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// Licensed under the Apache License, Version 2.0 (the "License");
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// you may not use this file except in compliance with the License.
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// You may obtain a copy of the License at
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//
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// https://www.apache.org/licenses/LICENSE-2.0
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//
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// Unless required by applicable law or agreed to in writing, software
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// distributed under the License is distributed on an "AS IS" BASIS,
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// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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// See the License for the specific language governing permissions and
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// limitations under the License.
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#include "absl/strings/charconv.h"
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#include <cstdlib>
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#include <string>
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#include "gmock/gmock.h"
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#include "gtest/gtest.h"
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#include "absl/strings/internal/pow10_helper.h"
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#include "absl/strings/str_cat.h"
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#include "absl/strings/str_format.h"
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#ifdef _MSC_FULL_VER
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#define ABSL_COMPILER_DOES_EXACT_ROUNDING 0
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#define ABSL_STRTOD_HANDLES_NAN_CORRECTLY 0
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#else
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#define ABSL_COMPILER_DOES_EXACT_ROUNDING 1
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#define ABSL_STRTOD_HANDLES_NAN_CORRECTLY 1
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#endif
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namespace {
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using absl::strings_internal::Pow10;
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#if ABSL_COMPILER_DOES_EXACT_ROUNDING
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// Tests that the given string is accepted by absl::from_chars, and that it
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// converts exactly equal to the given number.
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void TestDoubleParse(absl::string_view str, double expected_number) {
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SCOPED_TRACE(str);
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double actual_number = 0.0;
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absl::from_chars_result result =
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absl::from_chars(str.data(), str.data() + str.length(), actual_number);
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EXPECT_EQ(result.ec, std::errc());
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EXPECT_EQ(result.ptr, str.data() + str.length());
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EXPECT_EQ(actual_number, expected_number);
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}
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void TestFloatParse(absl::string_view str, float expected_number) {
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SCOPED_TRACE(str);
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float actual_number = 0.0;
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absl::from_chars_result result =
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absl::from_chars(str.data(), str.data() + str.length(), actual_number);
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EXPECT_EQ(result.ec, std::errc());
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EXPECT_EQ(result.ptr, str.data() + str.length());
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EXPECT_EQ(actual_number, expected_number);
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}
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// Tests that the given double or single precision floating point literal is
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// parsed correctly by absl::from_chars.
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//
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// These convenience macros assume that the C++ compiler being used also does
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// fully correct decimal-to-binary conversions.
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#define FROM_CHARS_TEST_DOUBLE(number) \
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{ \
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TestDoubleParse(#number, number); \
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TestDoubleParse("-" #number, -number); \
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}
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#define FROM_CHARS_TEST_FLOAT(number) \
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{ \
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TestFloatParse(#number, number##f); \
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TestFloatParse("-" #number, -number##f); \
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}
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TEST(FromChars, NearRoundingCases) {
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// Cases from "A Program for Testing IEEE Decimal-Binary Conversion"
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// by Vern Paxson.
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// Forms that should round towards zero. (These are the hardest cases for
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// each decimal mantissa size.)
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FROM_CHARS_TEST_DOUBLE(5.e125);
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FROM_CHARS_TEST_DOUBLE(69.e267);
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FROM_CHARS_TEST_DOUBLE(999.e-026);
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FROM_CHARS_TEST_DOUBLE(7861.e-034);
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FROM_CHARS_TEST_DOUBLE(75569.e-254);
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FROM_CHARS_TEST_DOUBLE(928609.e-261);
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FROM_CHARS_TEST_DOUBLE(9210917.e080);
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FROM_CHARS_TEST_DOUBLE(84863171.e114);
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FROM_CHARS_TEST_DOUBLE(653777767.e273);
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FROM_CHARS_TEST_DOUBLE(5232604057.e-298);
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FROM_CHARS_TEST_DOUBLE(27235667517.e-109);
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FROM_CHARS_TEST_DOUBLE(653532977297.e-123);
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FROM_CHARS_TEST_DOUBLE(3142213164987.e-294);
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FROM_CHARS_TEST_DOUBLE(46202199371337.e-072);
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FROM_CHARS_TEST_DOUBLE(231010996856685.e-073);
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FROM_CHARS_TEST_DOUBLE(9324754620109615.e212);
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FROM_CHARS_TEST_DOUBLE(78459735791271921.e049);
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FROM_CHARS_TEST_DOUBLE(272104041512242479.e200);
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FROM_CHARS_TEST_DOUBLE(6802601037806061975.e198);
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FROM_CHARS_TEST_DOUBLE(20505426358836677347.e-221);
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FROM_CHARS_TEST_DOUBLE(836168422905420598437.e-234);
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FROM_CHARS_TEST_DOUBLE(4891559871276714924261.e222);
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FROM_CHARS_TEST_FLOAT(5.e-20);
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FROM_CHARS_TEST_FLOAT(67.e14);
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FROM_CHARS_TEST_FLOAT(985.e15);
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FROM_CHARS_TEST_FLOAT(7693.e-42);
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FROM_CHARS_TEST_FLOAT(55895.e-16);
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FROM_CHARS_TEST_FLOAT(996622.e-44);
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FROM_CHARS_TEST_FLOAT(7038531.e-32);
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FROM_CHARS_TEST_FLOAT(60419369.e-46);
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FROM_CHARS_TEST_FLOAT(702990899.e-20);
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FROM_CHARS_TEST_FLOAT(6930161142.e-48);
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FROM_CHARS_TEST_FLOAT(25933168707.e-13);
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FROM_CHARS_TEST_FLOAT(596428896559.e20);
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// Similarly, forms that should round away from zero.
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FROM_CHARS_TEST_DOUBLE(9.e-265);
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FROM_CHARS_TEST_DOUBLE(85.e-037);
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FROM_CHARS_TEST_DOUBLE(623.e100);
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FROM_CHARS_TEST_DOUBLE(3571.e263);
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FROM_CHARS_TEST_DOUBLE(81661.e153);
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FROM_CHARS_TEST_DOUBLE(920657.e-023);
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FROM_CHARS_TEST_DOUBLE(4603285.e-024);
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FROM_CHARS_TEST_DOUBLE(87575437.e-309);
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FROM_CHARS_TEST_DOUBLE(245540327.e122);
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FROM_CHARS_TEST_DOUBLE(6138508175.e120);
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FROM_CHARS_TEST_DOUBLE(83356057653.e193);
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FROM_CHARS_TEST_DOUBLE(619534293513.e124);
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FROM_CHARS_TEST_DOUBLE(2335141086879.e218);
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FROM_CHARS_TEST_DOUBLE(36167929443327.e-159);
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FROM_CHARS_TEST_DOUBLE(609610927149051.e-255);
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FROM_CHARS_TEST_DOUBLE(3743626360493413.e-165);
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FROM_CHARS_TEST_DOUBLE(94080055902682397.e-242);
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FROM_CHARS_TEST_DOUBLE(899810892172646163.e283);
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FROM_CHARS_TEST_DOUBLE(7120190517612959703.e120);
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FROM_CHARS_TEST_DOUBLE(25188282901709339043.e-252);
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FROM_CHARS_TEST_DOUBLE(308984926168550152811.e-052);
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FROM_CHARS_TEST_DOUBLE(6372891218502368041059.e064);
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FROM_CHARS_TEST_FLOAT(3.e-23);
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FROM_CHARS_TEST_FLOAT(57.e18);
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FROM_CHARS_TEST_FLOAT(789.e-35);
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FROM_CHARS_TEST_FLOAT(2539.e-18);
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FROM_CHARS_TEST_FLOAT(76173.e28);
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FROM_CHARS_TEST_FLOAT(887745.e-11);
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FROM_CHARS_TEST_FLOAT(5382571.e-37);
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FROM_CHARS_TEST_FLOAT(82381273.e-35);
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FROM_CHARS_TEST_FLOAT(750486563.e-38);
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FROM_CHARS_TEST_FLOAT(3752432815.e-39);
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FROM_CHARS_TEST_FLOAT(75224575729.e-45);
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FROM_CHARS_TEST_FLOAT(459926601011.e15);
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}
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#undef FROM_CHARS_TEST_DOUBLE
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#undef FROM_CHARS_TEST_FLOAT
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#endif
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float ToFloat(absl::string_view s) {
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float f;
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absl::from_chars(s.data(), s.data() + s.size(), f);
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return f;
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}
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double ToDouble(absl::string_view s) {
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double d;
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absl::from_chars(s.data(), s.data() + s.size(), d);
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return d;
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}
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// A duplication of the test cases in "NearRoundingCases" above, but with
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// expected values expressed with integers, using ldexp/ldexpf. These test
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// cases will work even on compilers that do not accurately round floating point
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// literals.
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TEST(FromChars, NearRoundingCasesExplicit) {
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EXPECT_EQ(ToDouble("5.e125"), ldexp(6653062250012735, 365));
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EXPECT_EQ(ToDouble("69.e267"), ldexp(4705683757438170, 841));
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EXPECT_EQ(ToDouble("999.e-026"), ldexp(6798841691080350, -129));
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EXPECT_EQ(ToDouble("7861.e-034"), ldexp(8975675289889240, -153));
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EXPECT_EQ(ToDouble("75569.e-254"), ldexp(6091718967192243, -880));
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EXPECT_EQ(ToDouble("928609.e-261"), ldexp(7849264900213743, -900));
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EXPECT_EQ(ToDouble("9210917.e080"), ldexp(8341110837370930, 236));
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EXPECT_EQ(ToDouble("84863171.e114"), ldexp(4625202867375927, 353));
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EXPECT_EQ(ToDouble("653777767.e273"), ldexp(5068902999763073, 884));
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EXPECT_EQ(ToDouble("5232604057.e-298"), ldexp(5741343011915040, -1010));
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EXPECT_EQ(ToDouble("27235667517.e-109"), ldexp(6707124626673586, -380));
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EXPECT_EQ(ToDouble("653532977297.e-123"), ldexp(7078246407265384, -422));
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EXPECT_EQ(ToDouble("3142213164987.e-294"), ldexp(8219991337640559, -988));
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EXPECT_EQ(ToDouble("46202199371337.e-072"), ldexp(5224462102115359, -246));
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EXPECT_EQ(ToDouble("231010996856685.e-073"), ldexp(5224462102115359, -247));
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EXPECT_EQ(ToDouble("9324754620109615.e212"), ldexp(5539753864394442, 705));
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EXPECT_EQ(ToDouble("78459735791271921.e049"), ldexp(8388176519442766, 166));
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EXPECT_EQ(ToDouble("272104041512242479.e200"), ldexp(5554409530847367, 670));
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EXPECT_EQ(ToDouble("6802601037806061975.e198"), ldexp(5554409530847367, 668));
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EXPECT_EQ(ToDouble("20505426358836677347.e-221"),
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ldexp(4524032052079546, -722));
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EXPECT_EQ(ToDouble("836168422905420598437.e-234"),
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ldexp(5070963299887562, -760));
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EXPECT_EQ(ToDouble("4891559871276714924261.e222"),
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ldexp(6452687840519111, 757));
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EXPECT_EQ(ToFloat("5.e-20"), ldexpf(15474250, -88));
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EXPECT_EQ(ToFloat("67.e14"), ldexpf(12479722, 29));
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EXPECT_EQ(ToFloat("985.e15"), ldexpf(14333636, 36));
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EXPECT_EQ(ToFloat("7693.e-42"), ldexpf(10979816, -150));
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EXPECT_EQ(ToFloat("55895.e-16"), ldexpf(12888509, -61));
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EXPECT_EQ(ToFloat("996622.e-44"), ldexpf(14224264, -150));
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EXPECT_EQ(ToFloat("7038531.e-32"), ldexpf(11420669, -107));
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EXPECT_EQ(ToFloat("60419369.e-46"), ldexpf(8623340, -150));
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EXPECT_EQ(ToFloat("702990899.e-20"), ldexpf(16209866, -61));
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EXPECT_EQ(ToFloat("6930161142.e-48"), ldexpf(9891056, -150));
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EXPECT_EQ(ToFloat("25933168707.e-13"), ldexpf(11138211, -32));
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EXPECT_EQ(ToFloat("596428896559.e20"), ldexpf(12333860, 82));
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EXPECT_EQ(ToDouble("9.e-265"), ldexp(8168427841980010, -930));
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EXPECT_EQ(ToDouble("85.e-037"), ldexp(6360455125664090, -169));
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EXPECT_EQ(ToDouble("623.e100"), ldexp(6263531988747231, 289));
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EXPECT_EQ(ToDouble("3571.e263"), ldexp(6234526311072170, 833));
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EXPECT_EQ(ToDouble("81661.e153"), ldexp(6696636728760206, 472));
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EXPECT_EQ(ToDouble("920657.e-023"), ldexp(5975405561110124, -109));
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EXPECT_EQ(ToDouble("4603285.e-024"), ldexp(5975405561110124, -110));
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EXPECT_EQ(ToDouble("87575437.e-309"), ldexp(8452160731874668, -1053));
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EXPECT_EQ(ToDouble("245540327.e122"), ldexp(4985336549131723, 381));
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EXPECT_EQ(ToDouble("6138508175.e120"), ldexp(4985336549131723, 379));
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EXPECT_EQ(ToDouble("83356057653.e193"), ldexp(5986732817132056, 625));
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EXPECT_EQ(ToDouble("619534293513.e124"), ldexp(4798406992060657, 399));
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EXPECT_EQ(ToDouble("2335141086879.e218"), ldexp(5419088166961646, 713));
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EXPECT_EQ(ToDouble("36167929443327.e-159"), ldexp(8135819834632444, -536));
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EXPECT_EQ(ToDouble("609610927149051.e-255"), ldexp(4576664294594737, -850));
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EXPECT_EQ(ToDouble("3743626360493413.e-165"), ldexp(6898586531774201, -549));
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EXPECT_EQ(ToDouble("94080055902682397.e-242"), ldexp(6273271706052298, -800));
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EXPECT_EQ(ToDouble("899810892172646163.e283"), ldexp(7563892574477827, 947));
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EXPECT_EQ(ToDouble("7120190517612959703.e120"), ldexp(5385467232557565, 409));
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EXPECT_EQ(ToDouble("25188282901709339043.e-252"),
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ldexp(5635662608542340, -825));
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EXPECT_EQ(ToDouble("308984926168550152811.e-052"),
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ldexp(5644774693823803, -157));
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EXPECT_EQ(ToDouble("6372891218502368041059.e064"),
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ldexp(4616868614322430, 233));
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EXPECT_EQ(ToFloat("3.e-23"), ldexpf(9507380, -98));
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EXPECT_EQ(ToFloat("57.e18"), ldexpf(12960300, 42));
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EXPECT_EQ(ToFloat("789.e-35"), ldexpf(10739312, -130));
|
|
EXPECT_EQ(ToFloat("2539.e-18"), ldexpf(11990089, -72));
|
|
EXPECT_EQ(ToFloat("76173.e28"), ldexpf(9845130, 86));
|
|
EXPECT_EQ(ToFloat("887745.e-11"), ldexpf(9760860, -40));
|
|
EXPECT_EQ(ToFloat("5382571.e-37"), ldexpf(11447463, -124));
|
|
EXPECT_EQ(ToFloat("82381273.e-35"), ldexpf(8554961, -113));
|
|
EXPECT_EQ(ToFloat("750486563.e-38"), ldexpf(9975678, -120));
|
|
EXPECT_EQ(ToFloat("3752432815.e-39"), ldexpf(9975678, -121));
|
|
EXPECT_EQ(ToFloat("75224575729.e-45"), ldexpf(13105970, -137));
|
|
EXPECT_EQ(ToFloat("459926601011.e15"), ldexpf(12466336, 65));
|
|
}
|
|
|
|
// Common test logic for converting a string which lies exactly halfway between
|
|
// two target floats.
|
|
//
|
|
// mantissa and exponent represent the precise value between two floating point
|
|
// numbers, `expected_low` and `expected_high`. The floating point
|
|
// representation to parse in `StrCat(mantissa, "e", exponent)`.
|
|
//
|
|
// This function checks that an input just slightly less than the exact value
|
|
// is rounded down to `expected_low`, and an input just slightly greater than
|
|
// the exact value is rounded up to `expected_high`.
|
|
//
|
|
// The exact value should round to `expected_half`, which must be either
|
|
// `expected_low` or `expected_high`.
|
|
template <typename FloatType>
|
|
void TestHalfwayValue(const std::string& mantissa, int exponent,
|
|
FloatType expected_low, FloatType expected_high,
|
|
FloatType expected_half) {
|
|
std::string low_rep = mantissa;
|
|
low_rep[low_rep.size() - 1] -= 1;
|
|
absl::StrAppend(&low_rep, std::string(1000, '9'), "e", exponent);
|
|
|
|
FloatType actual_low = 0;
|
|
absl::from_chars(low_rep.data(), low_rep.data() + low_rep.size(), actual_low);
|
|
EXPECT_EQ(expected_low, actual_low);
|
|
|
|
std::string high_rep =
|
|
absl::StrCat(mantissa, std::string(1000, '0'), "1e", exponent);
|
|
FloatType actual_high = 0;
|
|
absl::from_chars(high_rep.data(), high_rep.data() + high_rep.size(),
|
|
actual_high);
|
|
EXPECT_EQ(expected_high, actual_high);
|
|
|
|
std::string halfway_rep = absl::StrCat(mantissa, "e", exponent);
|
|
FloatType actual_half = 0;
|
|
absl::from_chars(halfway_rep.data(), halfway_rep.data() + halfway_rep.size(),
|
|
actual_half);
|
|
EXPECT_EQ(expected_half, actual_half);
|
|
}
|
|
|
|
TEST(FromChars, DoubleRounding) {
|
|
const double zero = 0.0;
|
|
const double first_subnormal = nextafter(zero, 1.0);
|
|
const double second_subnormal = nextafter(first_subnormal, 1.0);
|
|
|
|
const double first_normal = DBL_MIN;
|
|
const double last_subnormal = nextafter(first_normal, 0.0);
|
|
const double second_normal = nextafter(first_normal, 1.0);
|
|
|
|
const double last_normal = DBL_MAX;
|
|
const double penultimate_normal = nextafter(last_normal, 0.0);
|
|
|
|
// Various test cases for numbers between two representable floats. Each
|
|
// call to TestHalfwayValue tests a number just below and just above the
|
|
// halfway point, as well as the number exactly between them.
|
|
|
|
// Test between zero and first_subnormal. Round-to-even tie rounds down.
|
|
TestHalfwayValue(
|
|
"2."
|
|
"470328229206232720882843964341106861825299013071623822127928412503377536"
|
|
"351043759326499181808179961898982823477228588654633283551779698981993873"
|
|
"980053909390631503565951557022639229085839244910518443593180284993653615"
|
|
"250031937045767824921936562366986365848075700158576926990370631192827955"
|
|
"855133292783433840935197801553124659726357957462276646527282722005637400"
|
|
"648549997709659947045402082816622623785739345073633900796776193057750674"
|
|
"017632467360096895134053553745851666113422376667860416215968046191446729"
|
|
"184030053005753084904876539171138659164623952491262365388187963623937328"
|
|
"042389101867234849766823508986338858792562830275599565752445550725518931"
|
|
"369083625477918694866799496832404970582102851318545139621383772282614543"
|
|
"7693412532098591327667236328125",
|
|
-324, zero, first_subnormal, zero);
|
|
|
|
// first_subnormal and second_subnormal. Round-to-even tie rounds up.
|
|
TestHalfwayValue(
|
|
"7."
|
|
"410984687618698162648531893023320585475897039214871466383785237510132609"
|
|
"053131277979497545424539885696948470431685765963899850655339096945981621"
|
|
"940161728171894510697854671067917687257517734731555330779540854980960845"
|
|
"750095811137303474765809687100959097544227100475730780971111893578483867"
|
|
"565399878350301522805593404659373979179073872386829939581848166016912201"
|
|
"945649993128979841136206248449867871357218035220901702390328579173252022"
|
|
"052897402080290685402160661237554998340267130003581248647904138574340187"
|
|
"552090159017259254714629617513415977493871857473787096164563890871811984"
|
|
"127167305601704549300470526959016576377688490826798697257336652176556794"
|
|
"107250876433756084600398490497214911746308553955635418864151316847843631"
|
|
"3080237596295773983001708984375",
|
|
-324, first_subnormal, second_subnormal, second_subnormal);
|
|
|
|
// last_subnormal and first_normal. Round-to-even tie rounds up.
|
|
TestHalfwayValue(
|
|
"2."
|
|
"225073858507201136057409796709131975934819546351645648023426109724822222"
|
|
"021076945516529523908135087914149158913039621106870086438694594645527657"
|
|
"207407820621743379988141063267329253552286881372149012981122451451889849"
|
|
"057222307285255133155755015914397476397983411801999323962548289017107081"
|
|
"850690630666655994938275772572015763062690663332647565300009245888316433"
|
|
"037779791869612049497390377829704905051080609940730262937128958950003583"
|
|
"799967207254304360284078895771796150945516748243471030702609144621572289"
|
|
"880258182545180325707018860872113128079512233426288368622321503775666622"
|
|
"503982534335974568884423900265498198385487948292206894721689831099698365"
|
|
"846814022854243330660339850886445804001034933970427567186443383770486037"
|
|
"86162277173854562306587467901408672332763671875",
|
|
-308, last_subnormal, first_normal, first_normal);
|
|
|
|
// first_normal and second_normal. Round-to-even tie rounds down.
|
|
TestHalfwayValue(
|
|
"2."
|
|
"225073858507201630123055637955676152503612414573018013083228724049586647"
|
|
"606759446192036794116886953213985520549032000903434781884412325572184367"
|
|
"563347617020518175998922941393629966742598285899994830148971433555578567"
|
|
"693279306015978183162142425067962460785295885199272493577688320732492479"
|
|
"924816869232247165964934329258783950102250973957579510571600738343645738"
|
|
"494324192997092179207389919761694314131497173265255020084997973676783743"
|
|
"155205818804439163810572367791175177756227497413804253387084478193655533"
|
|
"073867420834526162513029462022730109054820067654020201547112002028139700"
|
|
"141575259123440177362244273712468151750189745559978653234255886219611516"
|
|
"335924167958029604477064946470184777360934300451421683607013647479513962"
|
|
"13837722826145437693412532098591327667236328125",
|
|
-308, first_normal, second_normal, first_normal);
|
|
|
|
// penultimate_normal and last_normal. Round-to-even rounds down.
|
|
TestHalfwayValue(
|
|
"1."
|
|
"797693134862315608353258760581052985162070023416521662616611746258695532"
|
|
"672923265745300992879465492467506314903358770175220871059269879629062776"
|
|
"047355692132901909191523941804762171253349609463563872612866401980290377"
|
|
"995141836029815117562837277714038305214839639239356331336428021390916694"
|
|
"57927874464075218944",
|
|
308, penultimate_normal, last_normal, penultimate_normal);
|
|
}
|
|
|
|
// Same test cases as DoubleRounding, now with new and improved Much Smaller
|
|
// Precision!
|
|
TEST(FromChars, FloatRounding) {
|
|
const float zero = 0.0;
|
|
const float first_subnormal = nextafterf(zero, 1.0);
|
|
const float second_subnormal = nextafterf(first_subnormal, 1.0);
|
|
|
|
const float first_normal = FLT_MIN;
|
|
const float last_subnormal = nextafterf(first_normal, 0.0);
|
|
const float second_normal = nextafterf(first_normal, 1.0);
|
|
|
|
const float last_normal = FLT_MAX;
|
|
const float penultimate_normal = nextafterf(last_normal, 0.0);
|
|
|
|
// Test between zero and first_subnormal. Round-to-even tie rounds down.
|
|
TestHalfwayValue(
|
|
"7."
|
|
"006492321624085354618647916449580656401309709382578858785341419448955413"
|
|
"42930300743319094181060791015625",
|
|
-46, zero, first_subnormal, zero);
|
|
|
|
// first_subnormal and second_subnormal. Round-to-even tie rounds up.
|
|
TestHalfwayValue(
|
|
"2."
|
|
"101947696487225606385594374934874196920392912814773657635602425834686624"
|
|
"028790902229957282543182373046875",
|
|
-45, first_subnormal, second_subnormal, second_subnormal);
|
|
|
|
// last_subnormal and first_normal. Round-to-even tie rounds up.
|
|
TestHalfwayValue(
|
|
"1."
|
|
"175494280757364291727882991035766513322858992758990427682963118425003064"
|
|
"9651730385585324256680905818939208984375",
|
|
-38, last_subnormal, first_normal, first_normal);
|
|
|
|
// first_normal and second_normal. Round-to-even tie rounds down.
|
|
TestHalfwayValue(
|
|
"1."
|
|
"175494420887210724209590083408724842314472120785184615334540294131831453"
|
|
"9442813071445925743319094181060791015625",
|
|
-38, first_normal, second_normal, first_normal);
|
|
|
|
// penultimate_normal and last_normal. Round-to-even rounds down.
|
|
TestHalfwayValue("3.40282336497324057985868971510891282432", 38,
|
|
penultimate_normal, last_normal, penultimate_normal);
|
|
}
|
|
|
|
TEST(FromChars, Underflow) {
|
|
// Check that underflow is handled correctly, according to the specification
|
|
// in DR 3081.
|
|
double d;
|
|
float f;
|
|
absl::from_chars_result result;
|
|
|
|
std::string negative_underflow = "-1e-1000";
|
|
const char* begin = negative_underflow.data();
|
|
const char* end = begin + negative_underflow.size();
|
|
d = 100.0;
|
|
result = absl::from_chars(begin, end, d);
|
|
EXPECT_EQ(result.ptr, end);
|
|
EXPECT_EQ(result.ec, std::errc::result_out_of_range);
|
|
EXPECT_TRUE(std::signbit(d)); // negative
|
|
EXPECT_GE(d, -std::numeric_limits<double>::min());
|
|
f = 100.0;
|
|
result = absl::from_chars(begin, end, f);
|
|
EXPECT_EQ(result.ptr, end);
|
|
EXPECT_EQ(result.ec, std::errc::result_out_of_range);
|
|
EXPECT_TRUE(std::signbit(f)); // negative
|
|
EXPECT_GE(f, -std::numeric_limits<float>::min());
|
|
|
|
std::string positive_underflow = "1e-1000";
|
|
begin = positive_underflow.data();
|
|
end = begin + positive_underflow.size();
|
|
d = -100.0;
|
|
result = absl::from_chars(begin, end, d);
|
|
EXPECT_EQ(result.ptr, end);
|
|
EXPECT_EQ(result.ec, std::errc::result_out_of_range);
|
|
EXPECT_FALSE(std::signbit(d)); // positive
|
|
EXPECT_LE(d, std::numeric_limits<double>::min());
|
|
f = -100.0;
|
|
result = absl::from_chars(begin, end, f);
|
|
EXPECT_EQ(result.ptr, end);
|
|
EXPECT_EQ(result.ec, std::errc::result_out_of_range);
|
|
EXPECT_FALSE(std::signbit(f)); // positive
|
|
EXPECT_LE(f, std::numeric_limits<float>::min());
|
|
}
|
|
|
|
TEST(FromChars, Overflow) {
|
|
// Check that overflow is handled correctly, according to the specification
|
|
// in DR 3081.
|
|
double d;
|
|
float f;
|
|
absl::from_chars_result result;
|
|
|
|
std::string negative_overflow = "-1e1000";
|
|
const char* begin = negative_overflow.data();
|
|
const char* end = begin + negative_overflow.size();
|
|
d = 100.0;
|
|
result = absl::from_chars(begin, end, d);
|
|
EXPECT_EQ(result.ptr, end);
|
|
EXPECT_EQ(result.ec, std::errc::result_out_of_range);
|
|
EXPECT_TRUE(std::signbit(d)); // negative
|
|
EXPECT_EQ(d, -std::numeric_limits<double>::max());
|
|
f = 100.0;
|
|
result = absl::from_chars(begin, end, f);
|
|
EXPECT_EQ(result.ptr, end);
|
|
EXPECT_EQ(result.ec, std::errc::result_out_of_range);
|
|
EXPECT_TRUE(std::signbit(f)); // negative
|
|
EXPECT_EQ(f, -std::numeric_limits<float>::max());
|
|
|
|
std::string positive_overflow = "1e1000";
|
|
begin = positive_overflow.data();
|
|
end = begin + positive_overflow.size();
|
|
d = -100.0;
|
|
result = absl::from_chars(begin, end, d);
|
|
EXPECT_EQ(result.ptr, end);
|
|
EXPECT_EQ(result.ec, std::errc::result_out_of_range);
|
|
EXPECT_FALSE(std::signbit(d)); // positive
|
|
EXPECT_EQ(d, std::numeric_limits<double>::max());
|
|
f = -100.0;
|
|
result = absl::from_chars(begin, end, f);
|
|
EXPECT_EQ(result.ptr, end);
|
|
EXPECT_EQ(result.ec, std::errc::result_out_of_range);
|
|
EXPECT_FALSE(std::signbit(f)); // positive
|
|
EXPECT_EQ(f, std::numeric_limits<float>::max());
|
|
}
|
|
|
|
TEST(FromChars, RegressionTestsFromFuzzer) {
|
|
absl::string_view src = "0x21900000p00000000099";
|
|
float f;
|
|
auto result = absl::from_chars(src.data(), src.data() + src.size(), f);
|
|
EXPECT_EQ(result.ec, std::errc::result_out_of_range);
|
|
}
|
|
|
|
TEST(FromChars, ReturnValuePtr) {
|
|
// Check that `ptr` points one past the number scanned, even if that number
|
|
// is not representable.
|
|
double d;
|
|
absl::from_chars_result result;
|
|
|
|
std::string normal = "3.14@#$%@#$%";
|
|
result = absl::from_chars(normal.data(), normal.data() + normal.size(), d);
|
|
EXPECT_EQ(result.ec, std::errc());
|
|
EXPECT_EQ(result.ptr - normal.data(), 4);
|
|
|
|
std::string overflow = "1e1000@#$%@#$%";
|
|
result = absl::from_chars(overflow.data(),
|
|
overflow.data() + overflow.size(), d);
|
|
EXPECT_EQ(result.ec, std::errc::result_out_of_range);
|
|
EXPECT_EQ(result.ptr - overflow.data(), 6);
|
|
|
|
std::string garbage = "#$%@#$%";
|
|
result = absl::from_chars(garbage.data(),
|
|
garbage.data() + garbage.size(), d);
|
|
EXPECT_EQ(result.ec, std::errc::invalid_argument);
|
|
EXPECT_EQ(result.ptr - garbage.data(), 0);
|
|
}
|
|
|
|
// Check for a wide range of inputs that strtod() and absl::from_chars() exactly
|
|
// agree on the conversion amount.
|
|
//
|
|
// This test assumes the platform's strtod() uses perfect round_to_nearest
|
|
// rounding.
|
|
TEST(FromChars, TestVersusStrtod) {
|
|
for (int mantissa = 1000000; mantissa <= 9999999; mantissa += 501) {
|
|
for (int exponent = -300; exponent < 300; ++exponent) {
|
|
std::string candidate = absl::StrCat(mantissa, "e", exponent);
|
|
double strtod_value = strtod(candidate.c_str(), nullptr);
|
|
double absl_value = 0;
|
|
absl::from_chars(candidate.data(), candidate.data() + candidate.size(),
|
|
absl_value);
|
|
ASSERT_EQ(strtod_value, absl_value) << candidate;
|
|
}
|
|
}
|
|
}
|
|
|
|
// Check for a wide range of inputs that strtof() and absl::from_chars() exactly
|
|
// agree on the conversion amount.
|
|
//
|
|
// This test assumes the platform's strtof() uses perfect round_to_nearest
|
|
// rounding.
|
|
TEST(FromChars, TestVersusStrtof) {
|
|
for (int mantissa = 1000000; mantissa <= 9999999; mantissa += 501) {
|
|
for (int exponent = -43; exponent < 32; ++exponent) {
|
|
std::string candidate = absl::StrCat(mantissa, "e", exponent);
|
|
float strtod_value = strtof(candidate.c_str(), nullptr);
|
|
float absl_value = 0;
|
|
absl::from_chars(candidate.data(), candidate.data() + candidate.size(),
|
|
absl_value);
|
|
ASSERT_EQ(strtod_value, absl_value) << candidate;
|
|
}
|
|
}
|
|
}
|
|
|
|
// Tests if two floating point values have identical bit layouts. (EXPECT_EQ
|
|
// is not suitable for NaN testing, since NaNs are never equal.)
|
|
template <typename Float>
|
|
bool Identical(Float a, Float b) {
|
|
return 0 == memcmp(&a, &b, sizeof(Float));
|
|
}
|
|
|
|
// Check that NaNs are parsed correctly. The spec requires that
|
|
// std::from_chars on "NaN(123abc)" return the same value as std::nan("123abc").
|
|
// How such an n-char-sequence affects the generated NaN is unspecified, so we
|
|
// just test for symmetry with std::nan and strtod here.
|
|
//
|
|
// (In Linux, this parses the value as a number and stuffs that number into the
|
|
// free bits of a quiet NaN.)
|
|
TEST(FromChars, NaNDoubles) {
|
|
for (std::string n_char_sequence :
|
|
{"", "1", "2", "3", "fff", "FFF", "200000", "400000", "4000000000000",
|
|
"8000000000000", "abc123", "legal_but_unexpected",
|
|
"99999999999999999999999", "_"}) {
|
|
std::string input = absl::StrCat("nan(", n_char_sequence, ")");
|
|
SCOPED_TRACE(input);
|
|
double from_chars_double;
|
|
absl::from_chars(input.data(), input.data() + input.size(),
|
|
from_chars_double);
|
|
double std_nan_double = std::nan(n_char_sequence.c_str());
|
|
EXPECT_TRUE(Identical(from_chars_double, std_nan_double));
|
|
|
|
// Also check that we match strtod()'s behavior. This test assumes that the
|
|
// platform has a compliant strtod().
|
|
#if ABSL_STRTOD_HANDLES_NAN_CORRECTLY
|
|
double strtod_double = strtod(input.c_str(), nullptr);
|
|
EXPECT_TRUE(Identical(from_chars_double, strtod_double));
|
|
#endif // ABSL_STRTOD_HANDLES_NAN_CORRECTLY
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|
|
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// Check that we can parse a negative NaN
|
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std::string negative_input = "-" + input;
|
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double negative_from_chars_double;
|
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absl::from_chars(negative_input.data(),
|
|
negative_input.data() + negative_input.size(),
|
|
negative_from_chars_double);
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EXPECT_TRUE(std::signbit(negative_from_chars_double));
|
|
EXPECT_FALSE(Identical(negative_from_chars_double, from_chars_double));
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from_chars_double = std::copysign(from_chars_double, -1.0);
|
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EXPECT_TRUE(Identical(negative_from_chars_double, from_chars_double));
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}
|
|
}
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|
|
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TEST(FromChars, NaNFloats) {
|
|
for (std::string n_char_sequence :
|
|
{"", "1", "2", "3", "fff", "FFF", "200000", "400000", "4000000000000",
|
|
"8000000000000", "abc123", "legal_but_unexpected",
|
|
"99999999999999999999999", "_"}) {
|
|
std::string input = absl::StrCat("nan(", n_char_sequence, ")");
|
|
SCOPED_TRACE(input);
|
|
float from_chars_float;
|
|
absl::from_chars(input.data(), input.data() + input.size(),
|
|
from_chars_float);
|
|
float std_nan_float = std::nanf(n_char_sequence.c_str());
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|
EXPECT_TRUE(Identical(from_chars_float, std_nan_float));
|
|
|
|
// Also check that we match strtof()'s behavior. This test assumes that the
|
|
// platform has a compliant strtof().
|
|
#if ABSL_STRTOD_HANDLES_NAN_CORRECTLY
|
|
float strtof_float = strtof(input.c_str(), nullptr);
|
|
EXPECT_TRUE(Identical(from_chars_float, strtof_float));
|
|
#endif // ABSL_STRTOD_HANDLES_NAN_CORRECTLY
|
|
|
|
// Check that we can parse a negative NaN
|
|
std::string negative_input = "-" + input;
|
|
float negative_from_chars_float;
|
|
absl::from_chars(negative_input.data(),
|
|
negative_input.data() + negative_input.size(),
|
|
negative_from_chars_float);
|
|
EXPECT_TRUE(std::signbit(negative_from_chars_float));
|
|
EXPECT_FALSE(Identical(negative_from_chars_float, from_chars_float));
|
|
from_chars_float = std::copysign(from_chars_float, -1.0);
|
|
EXPECT_TRUE(Identical(negative_from_chars_float, from_chars_float));
|
|
}
|
|
}
|
|
|
|
// Returns an integer larger than step. The values grow exponentially.
|
|
int NextStep(int step) {
|
|
return step + (step >> 2) + 1;
|
|
}
|
|
|
|
// Test a conversion on a family of input strings, checking that the calculation
|
|
// is correct for in-bounds values, and that overflow and underflow are done
|
|
// correctly for out-of-bounds values.
|
|
//
|
|
// input_generator maps from an integer index to a string to test.
|
|
// expected_generator maps from an integer index to an expected Float value.
|
|
// from_chars conversion of input_generator(i) should result in
|
|
// expected_generator(i).
|
|
//
|
|
// lower_bound and upper_bound denote the smallest and largest values for which
|
|
// the conversion is expected to succeed.
|
|
template <typename Float>
|
|
void TestOverflowAndUnderflow(
|
|
const std::function<std::string(int)>& input_generator,
|
|
const std::function<Float(int)>& expected_generator, int lower_bound,
|
|
int upper_bound) {
|
|
// test legal values near lower_bound
|
|
int index, step;
|
|
for (index = lower_bound, step = 1; index < upper_bound;
|
|
index += step, step = NextStep(step)) {
|
|
std::string input = input_generator(index);
|
|
SCOPED_TRACE(input);
|
|
Float expected = expected_generator(index);
|
|
Float actual;
|
|
auto result =
|
|
absl::from_chars(input.data(), input.data() + input.size(), actual);
|
|
EXPECT_EQ(result.ec, std::errc());
|
|
EXPECT_EQ(expected, actual)
|
|
<< absl::StrFormat("%a vs %a", expected, actual);
|
|
}
|
|
// test legal values near upper_bound
|
|
for (index = upper_bound, step = 1; index > lower_bound;
|
|
index -= step, step = NextStep(step)) {
|
|
std::string input = input_generator(index);
|
|
SCOPED_TRACE(input);
|
|
Float expected = expected_generator(index);
|
|
Float actual;
|
|
auto result =
|
|
absl::from_chars(input.data(), input.data() + input.size(), actual);
|
|
EXPECT_EQ(result.ec, std::errc());
|
|
EXPECT_EQ(expected, actual)
|
|
<< absl::StrFormat("%a vs %a", expected, actual);
|
|
}
|
|
// Test underflow values below lower_bound
|
|
for (index = lower_bound - 1, step = 1; index > -1000000;
|
|
index -= step, step = NextStep(step)) {
|
|
std::string input = input_generator(index);
|
|
SCOPED_TRACE(input);
|
|
Float actual;
|
|
auto result =
|
|
absl::from_chars(input.data(), input.data() + input.size(), actual);
|
|
EXPECT_EQ(result.ec, std::errc::result_out_of_range);
|
|
EXPECT_LT(actual, 1.0); // check for underflow
|
|
}
|
|
// Test overflow values above upper_bound
|
|
for (index = upper_bound + 1, step = 1; index < 1000000;
|
|
index += step, step = NextStep(step)) {
|
|
std::string input = input_generator(index);
|
|
SCOPED_TRACE(input);
|
|
Float actual;
|
|
auto result =
|
|
absl::from_chars(input.data(), input.data() + input.size(), actual);
|
|
EXPECT_EQ(result.ec, std::errc::result_out_of_range);
|
|
EXPECT_GT(actual, 1.0); // check for overflow
|
|
}
|
|
}
|
|
|
|
// Check that overflow and underflow are caught correctly for hex doubles.
|
|
//
|
|
// The largest representable double is 0x1.fffffffffffffp+1023, and the
|
|
// smallest representable subnormal is 0x0.0000000000001p-1022, which equals
|
|
// 0x1p-1074. Therefore 1023 and -1074 are the limits of acceptable exponents
|
|
// in this test.
|
|
TEST(FromChars, HexdecimalDoubleLimits) {
|
|
auto input_gen = [](int index) { return absl::StrCat("0x1.0p", index); };
|
|
auto expected_gen = [](int index) { return std::ldexp(1.0, index); };
|
|
TestOverflowAndUnderflow<double>(input_gen, expected_gen, -1074, 1023);
|
|
}
|
|
|
|
// Check that overflow and underflow are caught correctly for hex floats.
|
|
//
|
|
// The largest representable float is 0x1.fffffep+127, and the smallest
|
|
// representable subnormal is 0x0.000002p-126, which equals 0x1p-149.
|
|
// Therefore 127 and -149 are the limits of acceptable exponents in this test.
|
|
TEST(FromChars, HexdecimalFloatLimits) {
|
|
auto input_gen = [](int index) { return absl::StrCat("0x1.0p", index); };
|
|
auto expected_gen = [](int index) { return std::ldexp(1.0f, index); };
|
|
TestOverflowAndUnderflow<float>(input_gen, expected_gen, -149, 127);
|
|
}
|
|
|
|
// Check that overflow and underflow are caught correctly for decimal doubles.
|
|
//
|
|
// The largest representable double is about 1.8e308, and the smallest
|
|
// representable subnormal is about 5e-324. '1e-324' therefore rounds away from
|
|
// the smallest representable positive value. -323 and 308 are the limits of
|
|
// acceptable exponents in this test.
|
|
TEST(FromChars, DecimalDoubleLimits) {
|
|
auto input_gen = [](int index) { return absl::StrCat("1.0e", index); };
|
|
auto expected_gen = [](int index) { return Pow10(index); };
|
|
TestOverflowAndUnderflow<double>(input_gen, expected_gen, -323, 308);
|
|
}
|
|
|
|
// Check that overflow and underflow are caught correctly for decimal floats.
|
|
//
|
|
// The largest representable float is about 3.4e38, and the smallest
|
|
// representable subnormal is about 1.45e-45. '1e-45' therefore rounds towards
|
|
// the smallest representable positive value. -45 and 38 are the limits of
|
|
// acceptable exponents in this test.
|
|
TEST(FromChars, DecimalFloatLimits) {
|
|
auto input_gen = [](int index) { return absl::StrCat("1.0e", index); };
|
|
auto expected_gen = [](int index) { return Pow10(index); };
|
|
TestOverflowAndUnderflow<float>(input_gen, expected_gen, -45, 38);
|
|
}
|
|
|
|
} // namespace
|