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c++ source #1
Output
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Execute the code
Intel asm syntax
Demangle identifiers
Filters
Unused labels
Library functions
Directives
Comments
Horizontal whitespace
Debug intrinsics
Compiler
6502-c++ 11.1.0
ARM GCC 10.2.0
ARM GCC 10.3.0
ARM GCC 10.4.0
ARM GCC 10.5.0
ARM GCC 11.1.0
ARM GCC 11.2.0
ARM GCC 11.3.0
ARM GCC 11.4.0
ARM GCC 12.1.0
ARM GCC 12.2.0
ARM GCC 12.3.0
ARM GCC 13.1.0
ARM GCC 13.2.0
ARM GCC 13.2.0 (unknown-eabi)
ARM GCC 4.5.4
ARM GCC 4.6.4
ARM GCC 5.4
ARM GCC 6.3.0
ARM GCC 6.4.0
ARM GCC 7.3.0
ARM GCC 7.5.0
ARM GCC 8.2.0
ARM GCC 8.5.0
ARM GCC 9.3.0
ARM GCC 9.4.0
ARM GCC 9.5.0
ARM GCC trunk
ARM gcc 10.2.1 (none)
ARM gcc 10.3.1 (2021.07 none)
ARM gcc 10.3.1 (2021.10 none)
ARM gcc 11.2.1 (none)
ARM gcc 5.4.1 (none)
ARM gcc 7.2.1 (none)
ARM gcc 8.2 (WinCE)
ARM gcc 8.3.1 (none)
ARM gcc 9.2.1 (none)
ARM msvc v19.0 (WINE)
ARM msvc v19.10 (WINE)
ARM msvc v19.14 (WINE)
ARM64 Morello gcc 10.1 Alpha 2
ARM64 gcc 10.2
ARM64 gcc 10.3
ARM64 gcc 10.4
ARM64 gcc 10.5.0
ARM64 gcc 11.1
ARM64 gcc 11.2
ARM64 gcc 11.3
ARM64 gcc 11.4.0
ARM64 gcc 12.1
ARM64 gcc 12.2.0
ARM64 gcc 12.3.0
ARM64 gcc 13.1.0
ARM64 gcc 13.2.0
ARM64 gcc 5.4
ARM64 gcc 6.3
ARM64 gcc 6.4
ARM64 gcc 7.3
ARM64 gcc 7.5
ARM64 gcc 8.2
ARM64 gcc 8.5
ARM64 gcc 9.3
ARM64 gcc 9.4
ARM64 gcc 9.5
ARM64 gcc trunk
ARM64 msvc v19.14 (WINE)
AVR gcc 10.3.0
AVR gcc 11.1.0
AVR gcc 12.1.0
AVR gcc 12.2.0
AVR gcc 12.3.0
AVR gcc 13.1.0
AVR gcc 13.2.0
AVR gcc 4.5.4
AVR gcc 4.6.4
AVR gcc 5.4.0
AVR gcc 9.2.0
AVR gcc 9.3.0
Arduino Mega (1.8.9)
Arduino Uno (1.8.9)
BPF clang (trunk)
BPF clang 13.0.0
BPF clang 14.0.0
BPF clang 15.0.0
BPF clang 16.0.0
BPF clang 17.0.1
BPF clang 18.1.0
BPF gcc 13.1.0
BPF gcc 13.2.0
BPF gcc trunk
EDG (experimental reflection)
EDG 6.5
EDG 6.5 (GNU mode gcc 13)
EDG 6.6
EDG 6.6 (GNU mode gcc 13)
FRC 2019
FRC 2020
FRC 2023
KVX ACB 4.1.0 (GCC 7.5.0)
KVX ACB 4.1.0-cd1 (GCC 7.5.0)
KVX ACB 4.10.0 (GCC 10.3.1)
KVX ACB 4.11.1 (GCC 10.3.1)
KVX ACB 4.12.0 (GCC 11.3.0)
KVX ACB 4.2.0 (GCC 7.5.0)
KVX ACB 4.3.0 (GCC 7.5.0)
KVX ACB 4.4.0 (GCC 7.5.0)
KVX ACB 4.6.0 (GCC 9.4.1)
KVX ACB 4.8.0 (GCC 9.4.1)
KVX ACB 4.9.0 (GCC 9.4.1)
M68K gcc 13.1.0
M68K gcc 13.2.0
M68k clang (trunk)
MRISC32 gcc (trunk)
MSP430 gcc 4.5.3
MSP430 gcc 5.3.0
MSP430 gcc 6.2.1
MinGW clang 14.0.3
MinGW clang 14.0.6
MinGW clang 15.0.7
MinGW clang 16.0.0
MinGW clang 16.0.2
MinGW gcc 11.3.0
MinGW gcc 12.1.0
MinGW gcc 12.2.0
MinGW gcc 13.1.0
RISC-V (32-bits) gcc (trunk)
RISC-V (32-bits) gcc 10.2.0
RISC-V (32-bits) gcc 10.3.0
RISC-V (32-bits) gcc 11.2.0
RISC-V (32-bits) gcc 11.3.0
RISC-V (32-bits) gcc 11.4.0
RISC-V (32-bits) gcc 12.1.0
RISC-V (32-bits) gcc 12.2.0
RISC-V (32-bits) gcc 12.3.0
RISC-V (32-bits) gcc 13.1.0
RISC-V (32-bits) gcc 13.2.0
RISC-V (32-bits) gcc 8.2.0
RISC-V (32-bits) gcc 8.5.0
RISC-V (32-bits) gcc 9.4.0
RISC-V (64-bits) gcc (trunk)
RISC-V (64-bits) gcc 10.2.0
RISC-V (64-bits) gcc 10.3.0
RISC-V (64-bits) gcc 11.2.0
RISC-V (64-bits) gcc 11.3.0
RISC-V (64-bits) gcc 11.4.0
RISC-V (64-bits) gcc 12.1.0
RISC-V (64-bits) gcc 12.2.0
RISC-V (64-bits) gcc 12.3.0
RISC-V (64-bits) gcc 13.1.0
RISC-V (64-bits) gcc 13.2.0
RISC-V (64-bits) gcc 8.2.0
RISC-V (64-bits) gcc 8.5.0
RISC-V (64-bits) gcc 9.4.0
RISC-V rv32gc clang (trunk)
RISC-V rv32gc clang 10.0.0
RISC-V rv32gc clang 10.0.1
RISC-V rv32gc clang 11.0.0
RISC-V rv32gc clang 11.0.1
RISC-V rv32gc clang 12.0.0
RISC-V rv32gc clang 12.0.1
RISC-V rv32gc clang 13.0.0
RISC-V rv32gc clang 13.0.1
RISC-V rv32gc clang 14.0.0
RISC-V rv32gc clang 15.0.0
RISC-V rv32gc clang 16.0.0
RISC-V rv32gc clang 17.0.1
RISC-V rv32gc clang 18.1.0
RISC-V rv32gc clang 9.0.0
RISC-V rv32gc clang 9.0.1
RISC-V rv64gc clang (trunk)
RISC-V rv64gc clang 10.0.0
RISC-V rv64gc clang 10.0.1
RISC-V rv64gc clang 11.0.0
RISC-V rv64gc clang 11.0.1
RISC-V rv64gc clang 12.0.0
RISC-V rv64gc clang 12.0.1
RISC-V rv64gc clang 13.0.0
RISC-V rv64gc clang 13.0.1
RISC-V rv64gc clang 14.0.0
RISC-V rv64gc clang 15.0.0
RISC-V rv64gc clang 16.0.0
RISC-V rv64gc clang 17.0.1
RISC-V rv64gc clang 18.1.0
RISC-V rv64gc clang 9.0.0
RISC-V rv64gc clang 9.0.1
Raspbian Buster
Raspbian Stretch
SPARC LEON gcc 12.2.0
SPARC LEON gcc 12.3.0
SPARC LEON gcc 13.1.0
SPARC LEON gcc 13.2.0
SPARC gcc 12.2.0
SPARC gcc 12.3.0
SPARC gcc 13.1.0
SPARC gcc 13.2.0
SPARC64 gcc 12.2.0
SPARC64 gcc 12.3.0
SPARC64 gcc 13.1.0
SPARC64 gcc 13.2.0
TI C6x gcc 12.2.0
TI C6x gcc 12.3.0
TI C6x gcc 13.1.0
TI C6x gcc 13.2.0
TI CL430 21.6.1
VAX gcc NetBSDELF 10.4.0
VAX gcc NetBSDELF 10.5.0 (Nov 15 03:50:22 2023)
WebAssembly clang (trunk)
Xtensa ESP32 gcc 11.2.0 (2022r1)
Xtensa ESP32 gcc 12.2.0 (20230208)
Xtensa ESP32 gcc 8.2.0 (2019r2)
Xtensa ESP32 gcc 8.2.0 (2020r1)
Xtensa ESP32 gcc 8.2.0 (2020r2)
Xtensa ESP32 gcc 8.4.0 (2020r3)
Xtensa ESP32 gcc 8.4.0 (2021r1)
Xtensa ESP32 gcc 8.4.0 (2021r2)
Xtensa ESP32-S2 gcc 11.2.0 (2022r1)
Xtensa ESP32-S2 gcc 12.2.0 (20230208)
Xtensa ESP32-S2 gcc 8.2.0 (2019r2)
Xtensa ESP32-S2 gcc 8.2.0 (2020r1)
Xtensa ESP32-S2 gcc 8.2.0 (2020r2)
Xtensa ESP32-S2 gcc 8.4.0 (2020r3)
Xtensa ESP32-S2 gcc 8.4.0 (2021r1)
Xtensa ESP32-S2 gcc 8.4.0 (2021r2)
Xtensa ESP32-S3 gcc 11.2.0 (2022r1)
Xtensa ESP32-S3 gcc 12.2.0 (20230208)
Xtensa ESP32-S3 gcc 8.4.0 (2020r3)
Xtensa ESP32-S3 gcc 8.4.0 (2021r1)
Xtensa ESP32-S3 gcc 8.4.0 (2021r2)
arm64 msvc v19.28 VS16.9
arm64 msvc v19.29 VS16.10
arm64 msvc v19.29 VS16.11
arm64 msvc v19.30
arm64 msvc v19.31
arm64 msvc v19.32
arm64 msvc v19.33
arm64 msvc v19.34
arm64 msvc v19.35
arm64 msvc v19.36
arm64 msvc v19.37
arm64 msvc v19.38
arm64 msvc v19.latest
armv7-a clang (trunk)
armv7-a clang 10.0.0
armv7-a clang 10.0.1
armv7-a clang 11.0.0
armv7-a clang 11.0.1
armv7-a clang 9.0.0
armv7-a clang 9.0.1
armv8-a clang (all architectural features, trunk)
armv8-a clang (trunk)
armv8-a clang 10.0.0
armv8-a clang 10.0.1
armv8-a clang 11.0.0
armv8-a clang 11.0.1
armv8-a clang 12.0.0
armv8-a clang 13.0.0
armv8-a clang 14.0.0
armv8-a clang 15.0.0
armv8-a clang 16.0.0
armv8-a clang 17.0.1
armv8-a clang 18.1.0
armv8-a clang 9.0.0
armv8-a clang 9.0.1
ellcc 0.1.33
ellcc 0.1.34
ellcc 2017-07-16
hexagon-clang 16.0.5
llvm-mos commander X16
llvm-mos commodore 64
llvm-mos mega65
llvm-mos nes-cnrom
llvm-mos nes-mmc1
llvm-mos nes-mmc3
llvm-mos nes-nrom
llvm-mos osi-c1p
loongarch64 gcc 12.2.0
loongarch64 gcc 12.3.0
loongarch64 gcc 13.1.0
loongarch64 gcc 13.2.0
mips clang 13.0.0
mips clang 14.0.0
mips clang 15.0.0
mips clang 16.0.0
mips clang 17.0.1
mips clang 18.1.0
mips gcc 11.2.0
mips gcc 12.1.0
mips gcc 12.2.0
mips gcc 12.3.0
mips gcc 13.1.0
mips gcc 13.2.0
mips gcc 4.9.4
mips gcc 5.4
mips gcc 5.5.0
mips gcc 9.3.0 (codescape)
mips gcc 9.5.0
mips64 (el) gcc 12.1.0
mips64 (el) gcc 12.2.0
mips64 (el) gcc 12.3.0
mips64 (el) gcc 13.1.0
mips64 (el) gcc 13.2.0
mips64 (el) gcc 4.9.4
mips64 (el) gcc 5.4.0
mips64 (el) gcc 5.5.0
mips64 (el) gcc 9.5.0
mips64 clang 13.0.0
mips64 clang 14.0.0
mips64 clang 15.0.0
mips64 clang 16.0.0
mips64 clang 17.0.1
mips64 clang 18.1.0
mips64 gcc 11.2.0
mips64 gcc 12.1.0
mips64 gcc 12.2.0
mips64 gcc 12.3.0
mips64 gcc 13.1.0
mips64 gcc 13.2.0
mips64 gcc 4.9.4
mips64 gcc 5.4.0
mips64 gcc 5.5.0
mips64 gcc 9.5.0
mips64el clang 13.0.0
mips64el clang 14.0.0
mips64el clang 15.0.0
mips64el clang 16.0.0
mips64el clang 17.0.1
mips64el clang 18.1.0
mipsel clang 13.0.0
mipsel clang 14.0.0
mipsel clang 15.0.0
mipsel clang 16.0.0
mipsel clang 17.0.1
mipsel clang 18.1.0
mipsel gcc 12.1.0
mipsel gcc 12.2.0
mipsel gcc 12.3.0
mipsel gcc 13.1.0
mipsel gcc 13.2.0
mipsel gcc 4.9.4
mipsel gcc 5.4.0
mipsel gcc 5.5.0
mipsel gcc 9.5.0
nanoMIPS gcc 6.3.0 (mtk)
power gcc 11.2.0
power gcc 12.1.0
power gcc 12.2.0
power gcc 12.3.0
power gcc 13.1.0
power gcc 13.2.0
power gcc 4.8.5
power64 AT12.0 (gcc8)
power64 AT13.0 (gcc9)
power64 gcc 11.2.0
power64 gcc 12.1.0
power64 gcc 12.2.0
power64 gcc 12.3.0
power64 gcc 13.1.0
power64 gcc 13.2.0
power64 gcc trunk
power64le AT12.0 (gcc8)
power64le AT13.0 (gcc9)
power64le clang (trunk)
power64le gcc 11.2.0
power64le gcc 12.1.0
power64le gcc 12.2.0
power64le gcc 12.3.0
power64le gcc 13.1.0
power64le gcc 13.2.0
power64le gcc 6.3.0
power64le gcc trunk
powerpc64 clang (trunk)
s390x gcc 11.2.0
s390x gcc 12.1.0
s390x gcc 12.2.0
s390x gcc 12.3.0
s390x gcc 13.1.0
s390x gcc 13.2.0
sh gcc 12.2.0
sh gcc 12.3.0
sh gcc 13.1.0
sh gcc 13.2.0
sh gcc 4.9.4
sh gcc 9.5.0
vast (trunk)
x64 msvc v19.0 (WINE)
x64 msvc v19.10 (WINE)
x64 msvc v19.14
x64 msvc v19.14 (WINE)
x64 msvc v19.15
x64 msvc v19.16
x64 msvc v19.20
x64 msvc v19.21
x64 msvc v19.22
x64 msvc v19.23
x64 msvc v19.24
x64 msvc v19.25
x64 msvc v19.26
x64 msvc v19.27
x64 msvc v19.28
x64 msvc v19.28 VS16.9
x64 msvc v19.29 VS16.10
x64 msvc v19.29 VS16.11
x64 msvc v19.30
x64 msvc v19.31
x64 msvc v19.32
x64 msvc v19.33
x64 msvc v19.34
x64 msvc v19.35
x64 msvc v19.36
x64 msvc v19.37
x64 msvc v19.38
x64 msvc v19.latest
x86 djgpp 4.9.4
x86 djgpp 5.5.0
x86 djgpp 6.4.0
x86 djgpp 7.2.0
x86 msvc v19.0 (WINE)
x86 msvc v19.10 (WINE)
x86 msvc v19.14
x86 msvc v19.14 (WINE)
x86 msvc v19.15
x86 msvc v19.16
x86 msvc v19.20
x86 msvc v19.21
x86 msvc v19.22
x86 msvc v19.23
x86 msvc v19.24
x86 msvc v19.25
x86 msvc v19.26
x86 msvc v19.27
x86 msvc v19.28
x86 msvc v19.28 VS16.9
x86 msvc v19.29 VS16.10
x86 msvc v19.29 VS16.11
x86 msvc v19.30
x86 msvc v19.31
x86 msvc v19.32
x86 msvc v19.33
x86 msvc v19.34
x86 msvc v19.35
x86 msvc v19.36
x86 msvc v19.37
x86 msvc v19.38
x86 msvc v19.latest
x86 nvc++ 22.11
x86 nvc++ 22.7
x86 nvc++ 22.9
x86 nvc++ 23.1
x86 nvc++ 23.11
x86 nvc++ 23.3
x86 nvc++ 23.5
x86 nvc++ 23.7
x86 nvc++ 23.9
x86 nvc++ 24.1
x86 nvc++ 24.3
x86-64 Zapcc 190308
x86-64 clang (amd-stg-open)
x86-64 clang (assertions trunk)
x86-64 clang (clangir)
x86-64 clang (experimental -Wlifetime)
x86-64 clang (experimental P1061)
x86-64 clang (experimental P1144)
x86-64 clang (experimental P1221)
x86-64 clang (experimental P2996)
x86-64 clang (experimental metaprogramming - P2632)
x86-64 clang (experimental pattern matching)
x86-64 clang (old concepts branch)
x86-64 clang (reflection)
x86-64 clang (resugar)
x86-64 clang (thephd.dev)
x86-64 clang (trunk)
x86-64 clang (variadic friends - P2893)
x86-64 clang (widberg)
x86-64 clang 10.0.0
x86-64 clang 10.0.0 (assertions)
x86-64 clang 10.0.1
x86-64 clang 11.0.0
x86-64 clang 11.0.0 (assertions)
x86-64 clang 11.0.1
x86-64 clang 12.0.0
x86-64 clang 12.0.0 (assertions)
x86-64 clang 12.0.1
x86-64 clang 13.0.0
x86-64 clang 13.0.0 (assertions)
x86-64 clang 13.0.1
x86-64 clang 14.0.0
x86-64 clang 14.0.0 (assertions)
x86-64 clang 15.0.0
x86-64 clang 15.0.0 (assertions)
x86-64 clang 16.0.0
x86-64 clang 16.0.0 (assertions)
x86-64 clang 17.0.1
x86-64 clang 17.0.1 (assertions)
x86-64 clang 18.1.0
x86-64 clang 18.1.0 (assertions)
x86-64 clang 2.6.0 (assertions)
x86-64 clang 2.7.0 (assertions)
x86-64 clang 2.8.0 (assertions)
x86-64 clang 2.9.0 (assertions)
x86-64 clang 3.0.0
x86-64 clang 3.0.0 (assertions)
x86-64 clang 3.1
x86-64 clang 3.1 (assertions)
x86-64 clang 3.2
x86-64 clang 3.2 (assertions)
x86-64 clang 3.3
x86-64 clang 3.3 (assertions)
x86-64 clang 3.4 (assertions)
x86-64 clang 3.4.1
x86-64 clang 3.5
x86-64 clang 3.5 (assertions)
x86-64 clang 3.5.1
x86-64 clang 3.5.2
x86-64 clang 3.6
x86-64 clang 3.6 (assertions)
x86-64 clang 3.7
x86-64 clang 3.7 (assertions)
x86-64 clang 3.7.1
x86-64 clang 3.8
x86-64 clang 3.8 (assertions)
x86-64 clang 3.8.1
x86-64 clang 3.9.0
x86-64 clang 3.9.0 (assertions)
x86-64 clang 3.9.1
x86-64 clang 4.0.0
x86-64 clang 4.0.0 (assertions)
x86-64 clang 4.0.1
x86-64 clang 5.0.0
x86-64 clang 5.0.0 (assertions)
x86-64 clang 5.0.1
x86-64 clang 5.0.2
x86-64 clang 6.0.0
x86-64 clang 6.0.0 (assertions)
x86-64 clang 6.0.1
x86-64 clang 7.0.0
x86-64 clang 7.0.0 (assertions)
x86-64 clang 7.0.1
x86-64 clang 7.1.0
x86-64 clang 8.0.0
x86-64 clang 8.0.0 (assertions)
x86-64 clang 8.0.1
x86-64 clang 9.0.0
x86-64 clang 9.0.0 (assertions)
x86-64 clang 9.0.1
x86-64 clang rocm-4.5.2
x86-64 clang rocm-5.0.2
x86-64 clang rocm-5.1.3
x86-64 clang rocm-5.2.3
x86-64 clang rocm-5.3.3
x86-64 clang rocm-5.7.0
x86-64 gcc (contract labels)
x86-64 gcc (contracts natural syntax)
x86-64 gcc (contracts)
x86-64 gcc (coroutines)
x86-64 gcc (modules)
x86-64 gcc (trunk)
x86-64 gcc 10.1
x86-64 gcc 10.2
x86-64 gcc 10.3
x86-64 gcc 10.4
x86-64 gcc 10.5
x86-64 gcc 11.1
x86-64 gcc 11.2
x86-64 gcc 11.3
x86-64 gcc 11.4
x86-64 gcc 12.1
x86-64 gcc 12.2
x86-64 gcc 12.3
x86-64 gcc 13.1
x86-64 gcc 13.2
x86-64 gcc 4.1.2
x86-64 gcc 4.4.7
x86-64 gcc 4.5.3
x86-64 gcc 4.6.4
x86-64 gcc 4.7.1
x86-64 gcc 4.7.2
x86-64 gcc 4.7.3
x86-64 gcc 4.7.4
x86-64 gcc 4.8.1
x86-64 gcc 4.8.2
x86-64 gcc 4.8.3
x86-64 gcc 4.8.4
x86-64 gcc 4.8.5
x86-64 gcc 4.9.0
x86-64 gcc 4.9.1
x86-64 gcc 4.9.2
x86-64 gcc 4.9.3
x86-64 gcc 4.9.4
x86-64 gcc 5.1
x86-64 gcc 5.2
x86-64 gcc 5.3
x86-64 gcc 5.4
x86-64 gcc 5.5
x86-64 gcc 6.1
x86-64 gcc 6.2
x86-64 gcc 6.3
x86-64 gcc 6.4
x86-64 gcc 7.1
x86-64 gcc 7.2
x86-64 gcc 7.3
x86-64 gcc 7.4
x86-64 gcc 7.5
x86-64 gcc 8.1
x86-64 gcc 8.2
x86-64 gcc 8.3
x86-64 gcc 8.4
x86-64 gcc 8.5
x86-64 gcc 9.1
x86-64 gcc 9.2
x86-64 gcc 9.3
x86-64 gcc 9.4
x86-64 gcc 9.5
x86-64 icc 13.0.1
x86-64 icc 16.0.3
x86-64 icc 17.0.0
x86-64 icc 18.0.0
x86-64 icc 19.0.0
x86-64 icc 19.0.1
x86-64 icc 2021.1.2
x86-64 icc 2021.10.0
x86-64 icc 2021.2.0
x86-64 icc 2021.3.0
x86-64 icc 2021.4.0
x86-64 icc 2021.5.0
x86-64 icc 2021.6.0
x86-64 icc 2021.7.0
x86-64 icc 2021.7.1
x86-64 icc 2021.8.0
x86-64 icc 2021.9.0
x86-64 icx (latest)
x86-64 icx 2021.1.2
x86-64 icx 2021.2.0
x86-64 icx 2021.3.0
x86-64 icx 2021.4.0
x86-64 icx 2022.0.0
x86-64 icx 2022.1.0
x86-64 icx 2022.2.0
x86-64 icx 2022.2.1
x86-64 icx 2023.0.0
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zig c++ 0.10.0
zig c++ 0.11.0
zig c++ 0.6.0
zig c++ 0.7.0
zig c++ 0.7.1
zig c++ 0.8.0
zig c++ 0.9.0
zig c++ trunk
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Source code
#define CONSTEXPR constexpr static inline __attribute__((always_inline)) CONSTEXPR double p2(int x) { double powers_of_two[] = {0x1p-1074, 0x1p-1073, 0x1p-1072, 0x1p-1071, 0x1p-1070, 0x1p-1069, 0x1p-1068, 0x1p-1067, 0x1p-1066, 0x1p-1065, 0x1p-1064, 0x1p-1063, 0x1p-1062, 0x1p-1061, 0x1p-1060, 0x1p-1059, 0x1p-1058, 0x1p-1057, 0x1p-1056, 0x1p-1055, 0x1p-1054, 0x1p-1053, 0x1p-1052, 0x1p-1051, 0x1p-1050, 0x1p-1049, 0x1p-1048, 0x1p-1047, 0x1p-1046, 0x1p-1045, 0x1p-1044, 0x1p-1043, 0x1p-1042, 0x1p-1041, 0x1p-1040, 0x1p-1039, 0x1p-1038, 0x1p-1037, 0x1p-1036, 0x1p-1035, 0x1p-1034, 0x1p-1033, 0x1p-1032, 0x1p-1031, 0x1p-1030, 0x1p-1029, 0x1p-1028, 0x1p-1027, 0x1p-1026, 0x1p-1025, 0x1p-1024, 0x1p-1023, 0x1p-1022, 0x1p-1021, 0x1p-1020, 0x1p-1019, 0x1p-1018, 0x1p-1017, 0x1p-1016, 0x1p-1015, 0x1p-1014, 0x1p-1013, 0x1p-1012, 0x1p-1011, 0x1p-1010, 0x1p-1009, 0x1p-1008, 0x1p-1007, 0x1p-1006, 0x1p-1005, 0x1p-1004, 0x1p-1003, 0x1p-1002, 0x1p-1001, 0x1p-1000, 0x1p-999, 0x1p-998, 0x1p-997, 0x1p-996, 0x1p-995, 0x1p-994, 0x1p-993, 0x1p-992, 0x1p-991, 0x1p-990, 0x1p-989, 0x1p-988, 0x1p-987, 0x1p-986, 0x1p-985, 0x1p-984, 0x1p-983, 0x1p-982, 0x1p-981, 0x1p-980, 0x1p-979, 0x1p-978, 0x1p-977, 0x1p-976, 0x1p-975, 0x1p-974, 0x1p-973, 0x1p-972, 0x1p-971, 0x1p-970, 0x1p-969, 0x1p-968, 0x1p-967, 0x1p-966, 0x1p-965, 0x1p-964, 0x1p-963, 0x1p-962, 0x1p-961, 0x1p-960, 0x1p-959, 0x1p-958, 0x1p-957, 0x1p-956, 0x1p-955, 0x1p-954, 0x1p-953, 0x1p-952, 0x1p-951, 0x1p-950, 0x1p-949, 0x1p-948, 0x1p-947, 0x1p-946, 0x1p-945, 0x1p-944, 0x1p-943, 0x1p-942, 0x1p-941, 0x1p-940, 0x1p-939, 0x1p-938, 0x1p-937, 0x1p-936, 0x1p-935, 0x1p-934, 0x1p-933, 0x1p-932, 0x1p-931, 0x1p-930, 0x1p-929, 0x1p-928, 0x1p-927, 0x1p-926, 0x1p-925, 0x1p-924, 0x1p-923, 0x1p-922, 0x1p-921, 0x1p-920, 0x1p-919, 0x1p-918, 0x1p-917, 0x1p-916, 0x1p-915, 0x1p-914, 0x1p-913, 0x1p-912, 0x1p-911, 0x1p-910, 0x1p-909, 0x1p-908, 0x1p-907, 0x1p-906, 0x1p-905, 0x1p-904, 0x1p-903, 0x1p-902, 0x1p-901, 0x1p-900, 0x1p-899, 0x1p-898, 0x1p-897, 0x1p-896, 0x1p-895, 0x1p-894, 0x1p-893, 0x1p-892, 0x1p-891, 0x1p-890, 0x1p-889, 0x1p-888, 0x1p-887, 0x1p-886, 0x1p-885, 0x1p-884, 0x1p-883, 0x1p-882, 0x1p-881, 0x1p-880, 0x1p-879, 0x1p-878, 0x1p-877, 0x1p-876, 0x1p-875, 0x1p-874, 0x1p-873, 0x1p-872, 0x1p-871, 0x1p-870, 0x1p-869, 0x1p-868, 0x1p-867, 0x1p-866, 0x1p-865, 0x1p-864, 0x1p-863, 0x1p-862, 0x1p-861, 0x1p-860, 0x1p-859, 0x1p-858, 0x1p-857, 0x1p-856, 0x1p-855, 0x1p-854, 0x1p-853, 0x1p-852, 0x1p-851, 0x1p-850, 0x1p-849, 0x1p-848, 0x1p-847, 0x1p-846, 0x1p-845, 0x1p-844, 0x1p-843, 0x1p-842, 0x1p-841, 0x1p-840, 0x1p-839, 0x1p-838, 0x1p-837, 0x1p-836, 0x1p-835, 0x1p-834, 0x1p-833, 0x1p-832, 0x1p-831, 0x1p-830, 0x1p-829, 0x1p-828, 0x1p-827, 0x1p-826, 0x1p-825, 0x1p-824, 0x1p-823, 0x1p-822, 0x1p-821, 0x1p-820, 0x1p-819, 0x1p-818, 0x1p-817, 0x1p-816, 0x1p-815, 0x1p-814, 0x1p-813, 0x1p-812, 0x1p-811, 0x1p-810, 0x1p-809, 0x1p-808, 0x1p-807, 0x1p-806, 0x1p-805, 0x1p-804, 0x1p-803, 0x1p-802, 0x1p-801, 0x1p-800, 0x1p-799, 0x1p-798, 0x1p-797, 0x1p-796, 0x1p-795, 0x1p-794, 0x1p-793, 0x1p-792, 0x1p-791, 0x1p-790, 0x1p-789, 0x1p-788, 0x1p-787, 0x1p-786, 0x1p-785, 0x1p-784, 0x1p-783, 0x1p-782, 0x1p-781, 0x1p-780, 0x1p-779, 0x1p-778, 0x1p-777, 0x1p-776, 0x1p-775, 0x1p-774, 0x1p-773, 0x1p-772, 0x1p-771, 0x1p-770, 0x1p-769, 0x1p-768, 0x1p-767, 0x1p-766, 0x1p-765, 0x1p-764, 0x1p-763, 0x1p-762, 0x1p-761, 0x1p-760, 0x1p-759, 0x1p-758, 0x1p-757, 0x1p-756, 0x1p-755, 0x1p-754, 0x1p-753, 0x1p-752, 0x1p-751, 0x1p-750, 0x1p-749, 0x1p-748, 0x1p-747, 0x1p-746, 0x1p-745, 0x1p-744, 0x1p-743, 0x1p-742, 0x1p-741, 0x1p-740, 0x1p-739, 0x1p-738, 0x1p-737, 0x1p-736, 0x1p-735, 0x1p-734, 0x1p-733, 0x1p-732, 0x1p-731, 0x1p-730, 0x1p-729, 0x1p-728, 0x1p-727, 0x1p-726, 0x1p-725, 0x1p-724, 0x1p-723, 0x1p-722, 0x1p-721, 0x1p-720, 0x1p-719, 0x1p-718, 0x1p-717, 0x1p-716, 0x1p-715, 0x1p-714, 0x1p-713, 0x1p-712, 0x1p-711, 0x1p-710, 0x1p-709, 0x1p-708, 0x1p-707, 0x1p-706, 0x1p-705, 0x1p-704, 0x1p-703, 0x1p-702, 0x1p-701, 0x1p-700, 0x1p-699, 0x1p-698, 0x1p-697, 0x1p-696, 0x1p-695, 0x1p-694, 0x1p-693, 0x1p-692, 0x1p-691, 0x1p-690, 0x1p-689, 0x1p-688, 0x1p-687, 0x1p-686, 0x1p-685, 0x1p-684, 0x1p-683, 0x1p-682, 0x1p-681, 0x1p-680, 0x1p-679, 0x1p-678, 0x1p-677, 0x1p-676, 0x1p-675, 0x1p-674, 0x1p-673, 0x1p-672, 0x1p-671, 0x1p-670, 0x1p-669, 0x1p-668, 0x1p-667, 0x1p-666, 0x1p-665, 0x1p-664, 0x1p-663, 0x1p-662, 0x1p-661, 0x1p-660, 0x1p-659, 0x1p-658, 0x1p-657, 0x1p-656, 0x1p-655, 0x1p-654, 0x1p-653, 0x1p-652, 0x1p-651, 0x1p-650, 0x1p-649, 0x1p-648, 0x1p-647, 0x1p-646, 0x1p-645, 0x1p-644, 0x1p-643, 0x1p-642, 0x1p-641, 0x1p-640, 0x1p-639, 0x1p-638, 0x1p-637, 0x1p-636, 0x1p-635, 0x1p-634, 0x1p-633, 0x1p-632, 0x1p-631, 0x1p-630, 0x1p-629, 0x1p-628, 0x1p-627, 0x1p-626, 0x1p-625, 0x1p-624, 0x1p-623, 0x1p-622, 0x1p-621, 0x1p-620, 0x1p-619, 0x1p-618, 0x1p-617, 0x1p-616, 0x1p-615, 0x1p-614, 0x1p-613, 0x1p-612, 0x1p-611, 0x1p-610, 0x1p-609, 0x1p-608, 0x1p-607, 0x1p-606, 0x1p-605, 0x1p-604, 0x1p-603, 0x1p-602, 0x1p-601, 0x1p-600, 0x1p-599, 0x1p-598, 0x1p-597, 0x1p-596, 0x1p-595, 0x1p-594, 0x1p-593, 0x1p-592, 0x1p-591, 0x1p-590, 0x1p-589, 0x1p-588, 0x1p-587, 0x1p-586, 0x1p-585, 0x1p-584, 0x1p-583, 0x1p-582, 0x1p-581, 0x1p-580, 0x1p-579, 0x1p-578, 0x1p-577, 0x1p-576, 0x1p-575, 0x1p-574, 0x1p-573, 0x1p-572, 0x1p-571, 0x1p-570, 0x1p-569, 0x1p-568, 0x1p-567, 0x1p-566, 0x1p-565, 0x1p-564, 0x1p-563, 0x1p-562, 0x1p-561, 0x1p-560, 0x1p-559, 0x1p-558, 0x1p-557, 0x1p-556, 0x1p-555, 0x1p-554, 0x1p-553, 0x1p-552, 0x1p-551, 0x1p-550, 0x1p-549, 0x1p-548, 0x1p-547, 0x1p-546, 0x1p-545, 0x1p-544, 0x1p-543, 0x1p-542, 0x1p-541, 0x1p-540, 0x1p-539, 0x1p-538, 0x1p-537, 0x1p-536, 0x1p-535, 0x1p-534, 0x1p-533, 0x1p-532, 0x1p-531, 0x1p-530, 0x1p-529, 0x1p-528, 0x1p-527, 0x1p-526, 0x1p-525, 0x1p-524, 0x1p-523, 0x1p-522, 0x1p-521, 0x1p-520, 0x1p-519, 0x1p-518, 0x1p-517, 0x1p-516, 0x1p-515, 0x1p-514, 0x1p-513, 0x1p-512, 0x1p-511, 0x1p-510, 0x1p-509, 0x1p-508, 0x1p-507, 0x1p-506, 0x1p-505, 0x1p-504, 0x1p-503, 0x1p-502, 0x1p-501, 0x1p-500, 0x1p-499, 0x1p-498, 0x1p-497, 0x1p-496, 0x1p-495, 0x1p-494, 0x1p-493, 0x1p-492, 0x1p-491, 0x1p-490, 0x1p-489, 0x1p-488, 0x1p-487, 0x1p-486, 0x1p-485, 0x1p-484, 0x1p-483, 0x1p-482, 0x1p-481, 0x1p-480, 0x1p-479, 0x1p-478, 0x1p-477, 0x1p-476, 0x1p-475, 0x1p-474, 0x1p-473, 0x1p-472, 0x1p-471, 0x1p-470, 0x1p-469, 0x1p-468, 0x1p-467, 0x1p-466, 0x1p-465, 0x1p-464, 0x1p-463, 0x1p-462, 0x1p-461, 0x1p-460, 0x1p-459, 0x1p-458, 0x1p-457, 0x1p-456, 0x1p-455, 0x1p-454, 0x1p-453, 0x1p-452, 0x1p-451, 0x1p-450, 0x1p-449, 0x1p-448, 0x1p-447, 0x1p-446, 0x1p-445, 0x1p-444, 0x1p-443, 0x1p-442, 0x1p-441, 0x1p-440, 0x1p-439, 0x1p-438, 0x1p-437, 0x1p-436, 0x1p-435, 0x1p-434, 0x1p-433, 0x1p-432, 0x1p-431, 0x1p-430, 0x1p-429, 0x1p-428, 0x1p-427, 0x1p-426, 0x1p-425, 0x1p-424, 0x1p-423, 0x1p-422, 0x1p-421, 0x1p-420, 0x1p-419, 0x1p-418, 0x1p-417, 0x1p-416, 0x1p-415, 0x1p-414, 0x1p-413, 0x1p-412, 0x1p-411, 0x1p-410, 0x1p-409, 0x1p-408, 0x1p-407, 0x1p-406, 0x1p-405, 0x1p-404, 0x1p-403, 0x1p-402, 0x1p-401, 0x1p-400, 0x1p-399, 0x1p-398, 0x1p-397, 0x1p-396, 0x1p-395, 0x1p-394, 0x1p-393, 0x1p-392, 0x1p-391, 0x1p-390, 0x1p-389, 0x1p-388, 0x1p-387, 0x1p-386, 0x1p-385, 0x1p-384, 0x1p-383, 0x1p-382, 0x1p-381, 0x1p-380, 0x1p-379, 0x1p-378, 0x1p-377, 0x1p-376, 0x1p-375, 0x1p-374, 0x1p-373, 0x1p-372, 0x1p-371, 0x1p-370, 0x1p-369, 0x1p-368, 0x1p-367, 0x1p-366, 0x1p-365, 0x1p-364, 0x1p-363, 0x1p-362, 0x1p-361, 0x1p-360, 0x1p-359, 0x1p-358, 0x1p-357, 0x1p-356, 0x1p-355, 0x1p-354, 0x1p-353, 0x1p-352, 0x1p-351, 0x1p-350, 0x1p-349, 0x1p-348, 0x1p-347, 0x1p-346, 0x1p-345, 0x1p-344, 0x1p-343, 0x1p-342, 0x1p-341, 0x1p-340, 0x1p-339, 0x1p-338, 0x1p-337, 0x1p-336, 0x1p-335, 0x1p-334, 0x1p-333, 0x1p-332, 0x1p-331, 0x1p-330, 0x1p-329, 0x1p-328, 0x1p-327, 0x1p-326, 0x1p-325, 0x1p-324, 0x1p-323, 0x1p-322, 0x1p-321, 0x1p-320, 0x1p-319, 0x1p-318, 0x1p-317, 0x1p-316, 0x1p-315, 0x1p-314, 0x1p-313, 0x1p-312, 0x1p-311, 0x1p-310, 0x1p-309, 0x1p-308, 0x1p-307, 0x1p-306, 0x1p-305, 0x1p-304, 0x1p-303, 0x1p-302, 0x1p-301, 0x1p-300, 0x1p-299, 0x1p-298, 0x1p-297, 0x1p-296, 0x1p-295, 0x1p-294, 0x1p-293, 0x1p-292, 0x1p-291, 0x1p-290, 0x1p-289, 0x1p-288, 0x1p-287, 0x1p-286, 0x1p-285, 0x1p-284, 0x1p-283, 0x1p-282, 0x1p-281, 0x1p-280, 0x1p-279, 0x1p-278, 0x1p-277, 0x1p-276, 0x1p-275, 0x1p-274, 0x1p-273, 0x1p-272, 0x1p-271, 0x1p-270, 0x1p-269, 0x1p-268, 0x1p-267, 0x1p-266, 0x1p-265, 0x1p-264, 0x1p-263, 0x1p-262, 0x1p-261, 0x1p-260, 0x1p-259, 0x1p-258, 0x1p-257, 0x1p-256, 0x1p-255, 0x1p-254, 0x1p-253, 0x1p-252, 0x1p-251, 0x1p-250, 0x1p-249, 0x1p-248, 0x1p-247, 0x1p-246, 0x1p-245, 0x1p-244, 0x1p-243, 0x1p-242, 0x1p-241, 0x1p-240, 0x1p-239, 0x1p-238, 0x1p-237, 0x1p-236, 0x1p-235, 0x1p-234, 0x1p-233, 0x1p-232, 0x1p-231, 0x1p-230, 0x1p-229, 0x1p-228, 0x1p-227, 0x1p-226, 0x1p-225, 0x1p-224, 0x1p-223, 0x1p-222, 0x1p-221, 0x1p-220, 0x1p-219, 0x1p-218, 0x1p-217, 0x1p-216, 0x1p-215, 0x1p-214, 0x1p-213, 0x1p-212, 0x1p-211, 0x1p-210, 0x1p-209, 0x1p-208, 0x1p-207, 0x1p-206, 0x1p-205, 0x1p-204, 0x1p-203, 0x1p-202, 0x1p-201, 0x1p-200, 0x1p-199, 0x1p-198, 0x1p-197, 0x1p-196, 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0x1p917, 0x1p918, 0x1p919, 0x1p920, 0x1p921, 0x1p922, 0x1p923, 0x1p924, 0x1p925, 0x1p926, 0x1p927, 0x1p928, 0x1p929, 0x1p930, 0x1p931, 0x1p932, 0x1p933, 0x1p934, 0x1p935, 0x1p936, 0x1p937, 0x1p938, 0x1p939, 0x1p940, 0x1p941, 0x1p942, 0x1p943, 0x1p944, 0x1p945, 0x1p946, 0x1p947, 0x1p948, 0x1p949, 0x1p950, 0x1p951, 0x1p952, 0x1p953, 0x1p954, 0x1p955, 0x1p956, 0x1p957, 0x1p958, 0x1p959, 0x1p960, 0x1p961, 0x1p962, 0x1p963, 0x1p964, 0x1p965, 0x1p966, 0x1p967, 0x1p968, 0x1p969, 0x1p970, 0x1p971, 0x1p972, 0x1p973, 0x1p974, 0x1p975, 0x1p976, 0x1p977, 0x1p978, 0x1p979, 0x1p980, 0x1p981, 0x1p982, 0x1p983, 0x1p984, 0x1p985, 0x1p986, 0x1p987, 0x1p988, 0x1p989, 0x1p990, 0x1p991, 0x1p992, 0x1p993, 0x1p994, 0x1p995, 0x1p996, 0x1p997, 0x1p998, 0x1p999, 0x1p1000, 0x1p1001, 0x1p1002, 0x1p1003, 0x1p1004, 0x1p1005, 0x1p1006, 0x1p1007, 0x1p1008, 0x1p1009, 0x1p1010, 0x1p1011, 0x1p1012, 0x1p1013, 0x1p1014, 0x1p1015, 0x1p1016, 0x1p1017, 0x1p1018, 0x1p1019, 0x1p1020, 0x1p1021, 0x1p1022, 0x1p1023}; return powers_of_two[x+1074]; } CONSTEXPR double double_and(double a, double b) { return a * b; } CONSTEXPR double double_not(double a) { return 1 - a; } CONSTEXPR double double_or(double a, double b) { return a + b - a * b; } CONSTEXPR double select(double condition, double if_true, double if_false) { return condition * if_true + double_not(condition) * if_false; } CONSTEXPR double adding_smallest_is_precise(double x) { double add_error = x + p2(-1074) - x; // {0, p2(-1074), 2 * p2(-1074)} add_error -= p2(-1074); // {-p2(-1074), 0, p2(-1074)} add_error = add_error * p2(1074/2) * p2(1074/2); // {-1, 0, 1} add_error *= add_error; // {1, 0, 1} - square to make a boolean return double_not(add_error); } CONSTEXPR double is_exp_0_or_1(double x) { double precise_add = adding_smallest_is_precise(x); double precise_sub = adding_smallest_is_precise(-x); return double_and(precise_add, precise_sub); } CONSTEXPR double is_zero(double x) { double magic = p2(-1021) - p2(-1074); return double_and(is_exp_0_or_1(x + magic), is_exp_0_or_1(x - magic)); } CONSTEXPR double cmp_sub(double x, double y) { // return a number with the same sign as x-y (or zero // if x-y==0), while avoiding returning infinity. double small = double_or(is_exp_0_or_1(x), is_exp_0_or_1(y)); double multiplier = (small + 1) * p2(-1); return (x * multiplier) - (y * multiplier); } CONSTEXPR double is_equal(double x, double y) { return is_zero(cmp_sub(x, y)); } CONSTEXPR double is_exp_0(double x) { return double_and(is_exp_0_or_1(x + p2(-1022)), is_exp_0_or_1(x - p2(-1022))); } CONSTEXPR double get_encoded_exponent(double v) { double tmp = v; double exponent = 0; #pragma unroll for (int test = 1024; test >= 1; test /= 2) { double trial = tmp * p2(-test); double too_small = is_exp_0_or_1(trial); tmp = select(too_small, tmp, trial); exponent += select(too_small, 0, test); } return select(is_exp_0_or_1(v), double_not(is_exp_0(v)), exponent + 2); } CONSTEXPR double normalise(double v) { // returns a value with the same sign and fraction bits, but the encoded // exponent set to one, unless it was a subnormal, in which case it is // left as zero. probably a bad name. double res = v; #pragma unroll for (int test = 1024; test >= 1; test /= 2) { double trial = res * p2(-test); res = select(is_exp_0_or_1(trial), res, trial); } return select(is_exp_0_or_1(res), res, res * p2(-1)); } CONSTEXPR double is_less_than_zero(double v) { return is_exp_0(normalise(v) + p2(-1022)); } CONSTEXPR double is_less_than(double a, double b) { return is_less_than_zero(cmp_sub(a, b)); } CONSTEXPR double small_positive_floor(double v) { // WARNING: incorrect for negative numbers and some values over p2(52) double r = v + p2(52) - p2(52); return select(is_less_than(v, r), r - 1, r); } CONSTEXPR double get_fraction(double v) { double result = normalise(v) * select(is_less_than_zero(v), -1.0, 1.0); result -= select(is_exp_0(v), 0, p2(-1022)); result = result * p2(1074 / 2) * p2(1074 / 2); return result; } struct low_high_doubles { double low; double high; }; CONSTEXPR struct low_high_doubles constexpr_double_as_ints(double v) { double sign = is_less_than_zero(v); double exponent = get_encoded_exponent(v); double fraction = get_fraction(v); double high_fraction = small_positive_floor(fraction * p2(-32)); double high = sign * p2(31) + exponent * p2(20) + high_fraction; double low = fraction - high_fraction * p2(32); return { low, high }; } CONSTEXPR double double_from_sign_exponent_fraction(double sign, double exponent, double fraction) { double exp_is_non_zero = double_not(is_zero(exponent)); // scale fraction down to exponent 0 double v = fraction * p2(-1074); // add the implicit leading one if needed (so exponent = 1) v += select(exp_is_non_zero, p2(-1022), 0); // compute how much we need to increment the exponent by double e = select(exp_is_non_zero, exponent - 1, 0); // shift it so that all but the first bit is after the point e *= p2(-10); #pragma unroll for (int test = 1024; test >= 1; test >>= 1) { // cond will be 1 if the relevant bit is set, otherwise zero double cond = small_positive_floor(e); // clear the current bit and shift the next bit into the ones place. e = (e - cond) * 2; if (test == 1024) { // p2(1024) is out-of bounds, so multiply by its square // root twice v *= select(cond, p2(512), 1.0); v *= select(cond, p2(512), 1.0); } else { v *= select(cond, p2(test), 1.0); } } // generate a NaN value if one is expected. double is_nan = double_and(is_equal(exponent, 2047), double_not(is_zero(fraction))); // if it's a NaN, "v" will already be Infinity, so multiply by zero to make it NaN, // otherwise multiply by one to leave it as-is. v *= double_not(is_nan); // set the sign bit v *= select(sign, -1, 1); return v; } CONSTEXPR double constexpr_ints_as_double(double l, double h) { double exp_and_sign = small_positive_floor(h * p2(-20)); double sign = small_positive_floor(h * p2(-31)); double exponent = exp_and_sign - sign * p2(11); double fraction = (h - exp_and_sign * p2(20)) * p2(32) + l; return double_from_sign_exponent_fraction(sign, exponent, fraction); } double ints_as_double(double low_u32, double high_u32) { return constexpr_ints_as_double(low_u32, high_u32); } low_high_doubles double_as_ints(double v) { return constexpr_double_as_ints(v); }
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