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c++ source #1
Output
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Intel asm syntax
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Filters
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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 12.4.0
ARM GCC 13.1.0
ARM GCC 13.2.0
ARM GCC 13.2.0 (unknown-eabi)
ARM GCC 13.3.0
ARM GCC 13.3.0 (unknown-eabi)
ARM GCC 14.1.0
ARM GCC 14.1.0 (unknown-eabi)
ARM GCC 14.2.0
ARM GCC 14.2.0 (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 12.4.0
ARM64 gcc 13.1.0
ARM64 gcc 13.2.0
ARM64 gcc 13.3.0
ARM64 gcc 14.1.0
ARM64 gcc 14.2.0
ARM64 gcc 4.9.4
ARM64 gcc 5.4
ARM64 gcc 5.5.0
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 12.4.0
AVR gcc 13.1.0
AVR gcc 13.2.0
AVR gcc 13.3.0
AVR gcc 14.1.0
AVR gcc 14.2.0
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 clang 19.1.0
BPF gcc 13.1.0
BPF gcc 13.2.0
BPF gcc 13.3.0
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)
KVX ACB 5.0.0 (GCC 12.2.1)
LoongArch64 clang (trunk)
LoongArch64 clang 17.0.1
LoongArch64 clang 18.1.0
LoongArch64 clang 19.1.0
M68K gcc 13.1.0
M68K gcc 13.2.0
M68K gcc 13.3.0
M68K gcc 14.1.0
M68K gcc 14.2.0
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 12.4.0
RISC-V (32-bits) gcc 13.1.0
RISC-V (32-bits) gcc 13.2.0
RISC-V (32-bits) gcc 13.3.0
RISC-V (32-bits) gcc 14.1.0
RISC-V (32-bits) gcc 14.2.0
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 12.4.0
RISC-V (64-bits) gcc 13.1.0
RISC-V (64-bits) gcc 13.2.0
RISC-V (64-bits) gcc 13.3.0
RISC-V (64-bits) gcc 14.1.0
RISC-V (64-bits) gcc 14.2.0
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 19.1.0
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 19.1.0
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 12.4.0
SPARC LEON gcc 13.1.0
SPARC LEON gcc 13.2.0
SPARC LEON gcc 13.3.0
SPARC LEON gcc 14.1.0
SPARC LEON gcc 14.2.0
SPARC gcc 12.2.0
SPARC gcc 12.3.0
SPARC gcc 12.4.0
SPARC gcc 13.1.0
SPARC gcc 13.2.0
SPARC gcc 13.3.0
SPARC gcc 14.1.0
SPARC gcc 14.2.0
SPARC64 gcc 12.2.0
SPARC64 gcc 12.3.0
SPARC64 gcc 12.4.0
SPARC64 gcc 13.1.0
SPARC64 gcc 13.2.0
SPARC64 gcc 13.3.0
SPARC64 gcc 14.1.0
SPARC64 gcc 14.2.0
TI C6x gcc 12.2.0
TI C6x gcc 12.3.0
TI C6x gcc 12.4.0
TI C6x gcc 13.1.0
TI C6x gcc 13.2.0
TI C6x gcc 13.3.0
TI C6x gcc 14.1.0
TI C6x gcc 14.2.0
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 v19.20 VS16.0
arm64 msvc v19.21 VS16.1
arm64 msvc v19.22 VS16.2
arm64 msvc v19.23 VS16.3
arm64 msvc v19.24 VS16.4
arm64 msvc v19.25 VS16.5
arm64 msvc v19.27 VS16.7
arm64 msvc v19.28 VS16.8
arm64 msvc v19.28 VS16.9
arm64 msvc v19.29 VS16.10
arm64 msvc v19.29 VS16.11
arm64 msvc v19.30 VS17.0
arm64 msvc v19.31 VS17.1
arm64 msvc v19.32 VS17.2
arm64 msvc v19.33 VS17.3
arm64 msvc v19.34 VS17.4
arm64 msvc v19.35 VS17.5
arm64 msvc v19.36 VS17.6
arm64 msvc v19.37 VS17.7
arm64 msvc v19.38 VS17.8
arm64 msvc v19.39 VS17.9
arm64 msvc v19.40 VS17.10
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 12.0.0
armv7-a clang 12.0.1
armv7-a clang 13.0.0
armv7-a clang 13.0.1
armv7-a clang 14.0.0
armv7-a clang 15.0.0
armv7-a clang 16.0.0
armv7-a clang 17.0.1
armv7-a clang 18.1.0
armv7-a clang 19.1.0
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 19.1.0
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 atari2600-3e
llvm-mos atari2600-4k
llvm-mos atari2600-common
llvm-mos atari5200-supercart
llvm-mos atari8-cart-megacart
llvm-mos atari8-cart-std
llvm-mos atari8-cart-xegs
llvm-mos atari8-common
llvm-mos atari8-dos
llvm-mos c128
llvm-mos c64
llvm-mos commodore
llvm-mos cpm65
llvm-mos cx16
llvm-mos dodo
llvm-mos eater
llvm-mos mega65
llvm-mos nes
llvm-mos nes-action53
llvm-mos nes-cnrom
llvm-mos nes-gtrom
llvm-mos nes-mmc1
llvm-mos nes-mmc3
llvm-mos nes-nrom
llvm-mos nes-unrom
llvm-mos nes-unrom-512
llvm-mos osi-c1p
llvm-mos pce
llvm-mos pce-cd
llvm-mos pce-common
llvm-mos pet
llvm-mos rp6502
llvm-mos rpc8e
llvm-mos supervision
llvm-mos vic20
loongarch64 gcc 12.2.0
loongarch64 gcc 12.3.0
loongarch64 gcc 12.4.0
loongarch64 gcc 13.1.0
loongarch64 gcc 13.2.0
loongarch64 gcc 13.3.0
loongarch64 gcc 14.1.0
loongarch64 gcc 14.2.0
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 clang 19.1.0
mips gcc 11.2.0
mips gcc 12.1.0
mips gcc 12.2.0
mips gcc 12.3.0
mips gcc 12.4.0
mips gcc 13.1.0
mips gcc 13.2.0
mips gcc 13.3.0
mips gcc 14.1.0
mips gcc 14.2.0
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 12.4.0
mips64 (el) gcc 13.1.0
mips64 (el) gcc 13.2.0
mips64 (el) gcc 13.3.0
mips64 (el) gcc 14.1.0
mips64 (el) gcc 14.2.0
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 clang 19.1.0
mips64 gcc 11.2.0
mips64 gcc 12.1.0
mips64 gcc 12.2.0
mips64 gcc 12.3.0
mips64 gcc 12.4.0
mips64 gcc 13.1.0
mips64 gcc 13.2.0
mips64 gcc 13.3.0
mips64 gcc 14.1.0
mips64 gcc 14.2.0
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
mips64el clang 19.1.0
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 clang 19.1.0
mipsel gcc 12.1.0
mipsel gcc 12.2.0
mipsel gcc 12.3.0
mipsel gcc 12.4.0
mipsel gcc 13.1.0
mipsel gcc 13.2.0
mipsel gcc 13.3.0
mipsel gcc 14.1.0
mipsel gcc 14.2.0
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 12.4.0
power gcc 13.1.0
power gcc 13.2.0
power gcc 13.3.0
power gcc 14.1.0
power gcc 14.2.0
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 12.4.0
power64 gcc 13.1.0
power64 gcc 13.2.0
power64 gcc 13.3.0
power64 gcc 14.1.0
power64 gcc 14.2.0
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 12.4.0
power64le gcc 13.1.0
power64le gcc 13.2.0
power64le gcc 13.3.0
power64le gcc 14.1.0
power64le gcc 14.2.0
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 12.4.0
s390x gcc 13.1.0
s390x gcc 13.2.0
s390x gcc 13.3.0
s390x gcc 14.1.0
s390x gcc 14.2.0
sh gcc 12.2.0
sh gcc 12.3.0
sh gcc 12.4.0
sh gcc 13.1.0
sh gcc 13.2.0
sh gcc 13.3.0
sh gcc 14.1.0
sh gcc 14.2.0
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 (WINE)
x64 msvc v19.20 VS16.0
x64 msvc v19.21 VS16.1
x64 msvc v19.22 VS16.2
x64 msvc v19.23 VS16.3
x64 msvc v19.24 VS16.4
x64 msvc v19.25 VS16.5
x64 msvc v19.27 VS16.7
x64 msvc v19.28 VS16.8
x64 msvc v19.28 VS16.9
x64 msvc v19.29 VS16.10
x64 msvc v19.29 VS16.11
x64 msvc v19.30 VS17.0
x64 msvc v19.31 VS17.1
x64 msvc v19.32 VS17.2
x64 msvc v19.33 VS17.3
x64 msvc v19.34 VS17.4
x64 msvc v19.35 VS17.5
x64 msvc v19.36 VS17.6
x64 msvc v19.37 VS17.7
x64 msvc v19.38 VS17.8
x64 msvc v19.39 VS17.9
x64 msvc v19.40 VS17.10
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 (WINE)
x86 msvc v19.20 VS16.0
x86 msvc v19.21 VS16.1
x86 msvc v19.22 VS16.2
x86 msvc v19.23 VS16.3
x86 msvc v19.24 VS16.4
x86 msvc v19.25 VS16.5
x86 msvc v19.27 VS16.7
x86 msvc v19.28 VS16.8
x86 msvc v19.28 VS16.9
x86 msvc v19.29 VS16.10
x86 msvc v19.29 VS16.11
x86 msvc v19.30 VS17.0
x86 msvc v19.31 VS17.1
x86 msvc v19.32 VS17.2
x86 msvc v19.33 VS17.3
x86 msvc v19.34 VS17.4
x86 msvc v19.35 VS17.5
x86 msvc v19.36 VS17.6
x86 msvc v19.37 VS17.7
x86 msvc v19.38 VS17.8
x86 msvc v19.39 VS17.9
x86 msvc v19.40 VS17.10
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 nvc++ 24.5
x86 nvc++ 24.7
x86-64 Zapcc 190308
x86-64 clang (EricWF contracts)
x86-64 clang (amd-staging)
x86-64 clang (assertions trunk)
x86-64 clang (clangir)
x86-64 clang (dascandy contracts)
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 P3068)
x86-64 clang (experimental P3309)
x86-64 clang (experimental P3367)
x86-64 clang (experimental P3372)
x86-64 clang (experimental metaprogramming - P2632)
x86-64 clang (old concepts branch)
x86-64 clang (p1974)
x86-64 clang (pattern matching - P2688)
x86-64 clang (reflection)
x86-64 clang (resugar)
x86-64 clang (thephd.dev)
x86-64 clang (trunk)
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#include <iostream> #include <cmath> #include <array> constexpr double C0 = 299792458; /// Speed of light [metres per second] enum class side_type { left, bottom, right, top }; constexpr unsigned int side_to_id (side_type side) { switch (side) { case side_type::left: return 0; case side_type::bottom: return 1; case side_type::right: return 2; case side_type::top: return 3; default: return 0; } return 0; } constexpr unsigned int get_cell_x (unsigned int cell_id, unsigned int nx) { return cell_id % nx; } constexpr unsigned int get_cell_y (unsigned int cell_id, unsigned int nx) { return cell_id / nx; } constexpr unsigned int get_cell_id (unsigned int x, unsigned int y, unsigned int nx) { return y * nx + x; } constexpr bool is_edge_left (unsigned int edge_id) { return edge_id == side_to_id (side_type::left); } constexpr bool is_edge_bottom (unsigned int edge_id) { return edge_id == side_to_id (side_type::bottom); } constexpr bool is_edge_right (unsigned int edge_id) { return edge_id == side_to_id (side_type::right); } constexpr bool is_edge_top (unsigned int edge_id) { return edge_id == side_to_id (side_type::top); } constexpr bool is_cell_on_left_boundary (unsigned int x) { return x == 0; } constexpr bool is_cell_on_right_boundary (unsigned int x, unsigned int nx) { return x == nx - 1; } constexpr bool is_cell_on_bottom_boundary (unsigned int y) { return y == 0; } constexpr bool is_cell_on_top_boundary (unsigned int y, unsigned int ny) { return y == ny - 1; } constexpr unsigned int get_neighbor_id (unsigned int cell_id, unsigned int edge_id, unsigned int nx, unsigned int ny) { unsigned int x = get_cell_x (cell_id, nx); unsigned int y = get_cell_y (cell_id, nx); if (is_edge_left (edge_id)) return is_cell_on_left_boundary (x) ? cell_id : get_cell_id (x - 1, y, nx); else if (is_edge_bottom (edge_id)) return is_cell_on_bottom_boundary (y) ? cell_id : get_cell_id (x, y - 1, nx); else if (is_edge_right (edge_id)) return is_cell_on_right_boundary (x, nx) ? cell_id : get_cell_id (x + 1, y, nx); else if (is_edge_top (edge_id)) return is_cell_on_top_boundary (y, ny) ? cell_id : get_cell_id (x, y + 1, nx); return -1; } template<typename float_type, unsigned int nx, unsigned int ny> constexpr float_type update_curl_ex (unsigned int cell_id, float_type dy, const std::array<float_type, nx * ny> &ez) { const unsigned int neighbor_id = get_neighbor_id (cell_id, side_to_id (side_type::top), nx, ny); return (ez[neighbor_id] - ez[cell_id]) / dy; } template<typename float_type, unsigned int nx, unsigned int ny> constexpr float_type update_curl_ey (unsigned int cell_id, float_type dx, const std::array<float_type, nx * ny> &ez) { const unsigned int neighbor_id = get_neighbor_id (cell_id, side_to_id (side_type::right), nx, ny); return -(ez[neighbor_id] - ez[cell_id]) / dx; } template <unsigned int nx, unsigned int ny> constexpr float calculate_dt (float dx, float dy) { constexpr float cfl = 0.7; return cfl * std::min (dx, dy) / C0; } template <typename float_type, unsigned int nx, unsigned int ny> constexpr float_type update_curl_h ( unsigned int cell_id, float_type dx, float_type dy, const std::array<float_type, nx * ny> hx, const std::array<float_type, nx * ny> hy) { // TODO For now assume that only periodic boundary conditions exist const unsigned int left_neighbor_id = get_neighbor_id (cell_id, side_to_id (side_type::left), nx, ny); const unsigned int bottom_neighbor_id = get_neighbor_id (cell_id, side_to_id (side_type::bottom), nx, ny); return (hy[cell_id] - hy[left_neighbor_id]) / dx - (hx[cell_id] - hx[bottom_neighbor_id]) / dy; } constexpr double pow(double x, int y) { return y == 0 ? 1.0 : x * pow(x, y-1); } constexpr int factorial(int x) { return x == 0 ? 1 : x * factorial(x-1); } constexpr double exp_9 (double x) { return 1.0 + x + pow(x,2)/factorial(2) + pow(x, 3)/factorial(3) + pow(x, 4)/factorial(4) + pow(x, 5)/factorial(5) + pow(x,6)/factorial(6) + pow(x, 7)/factorial(7) + pow(x, 8)/factorial(8) + pow(x, 9)/factorial(9); } constexpr float gaussian_pulse (float t, float t_0, float tau) { return exp_9 (-(((t - t_0) / tau) * (t - t_0) / tau)); } constexpr float harmonic_source (float t, float frequency) { return std::cos (t * frequency); } constexpr float step_source (float t) { if (t < 1E-10) return 1.0f; return 0.0f; } constexpr float calculate_source (float t, float frequency) { const float tau = 0.5f / frequency; const float t_0 = 6.0f * tau; return gaussian_pulse (t, t_0, tau); } template <typename float_type, unsigned int nx, unsigned int ny> constexpr void fdtd ( float_type &t, float_type dt, float_type dx, float_type dy, unsigned int steps, const std::array<float_type, nx * ny> &er, const std::array<float_type, nx * ny> &mh, std::array<float_type, nx * ny> &hx, std::array<float_type, nx * ny> &hy, std::array<float_type, nx * ny> &ez, std::array<float_type, nx * ny> &dz ) { constexpr unsigned int n_cells = nx * ny; const unsigned int source_cell = get_cell_id(nx / 2, ny / 2, nx); const float_type source_frequency = 1E+9; for (unsigned int step = 0; step < steps; step++) { /// Update h for (unsigned int i = 0; i < n_cells; i++) { hx[i] -= mh[i] * update_curl_ex<float_type, nx, ny> (i, dy, ez); hy[i] -= mh[i] * update_curl_ey<float_type, nx, ny> (i, dx, ez); } /// Update e for (unsigned int i = 0; i < n_cells; i++) dz[i] += C0 * dt * update_curl_h<float_type, nx, ny> (i, dx, dy, hx, hy); dz[source_cell] += calculate_source (t, source_frequency); /// Update source for (unsigned int i = 0; i < n_cells; i++) ez[i] = dz[i] / er[i]; t += dt; } } template <typename float_type, unsigned int nx, unsigned int ny, unsigned int report_steps> constexpr auto collect_time_steps ( unsigned int report_each) { constexpr float_type grid_width = 3.0; constexpr float_type grid_height = 3.0; constexpr float_type dx = grid_width / nx; constexpr float_type dy = grid_height / ny; constexpr unsigned int n_cells = nx * ny; constexpr float_type dt = calculate_dt<nx, ny> (dx, dy); std::array<float_type, n_cells> er {}; std::array<float_type, n_cells> hr {}; std::array<float_type, n_cells> mh {}; std::array<float_type, n_cells> hx {}; std::array<float_type, n_cells> hy {}; std::array<float_type, n_cells> ez {}; std::array<float_type, n_cells> dz {}; for (unsigned int i = 0; i < n_cells; i++) { er[i] = hr[i] = 1.0; hx[i] = hy[i] = ez[i] = dz[i] = 0.0; mh[i] = C0 * dt / hr[i]; } float_type t = 0.0; std::array<std::array<float_type, nx * ny>, report_steps> report {}; for (unsigned int report_step = 0; report_step < report_steps; report_step++) { fdtd<float_type, nx, ny> (t, dt, dx, dy, report_each, er, mh, hx, hy, ez, dz); for (unsigned int i = 0; i < n_cells; i++) report[report_step][i] = ez[i]; } return report; } template <class float_type> void write_vtk ( const std::string &filename, const float_type dx, const float_type dy, const unsigned int nx, const unsigned int ny, const float_type *e) { ((unsigned char volatile *)e)[0] = e[0]; } template <typename float_type> void write_report_steps () { constexpr float_type grid_width = 3.0; constexpr float_type grid_height = 3.0; constexpr unsigned int nx = 10; constexpr unsigned int ny = 10; constexpr float_type dx = 3.0f / nx; constexpr float_type dy = 3.0f / ny; constexpr unsigned int report_steps = 1; constexpr auto reports = collect_time_steps<float_type, nx, ny, report_steps> (10); for (unsigned int report = 0; report < reports.size (); report++) write_vtk<float_type> ("output.vtk", dx, dy, nx, ny, reports[report].data ()); } int main () { write_report_steps<double> (); return 0; }
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