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https://git.kernel.org/pub/scm/linux/kernel/git/stable/linux.git
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The binary GCD algorithm is based on the following facts: 1. If a and b are all evens, then gcd(a,b) = 2 * gcd(a/2, b/2) 2. If a is even and b is odd, then gcd(a,b) = gcd(a/2, b) 3. If a and b are all odds, then gcd(a,b) = gcd((a-b)/2, b) = gcd((a+b)/2, b) Even on x86 machines with reasonable division hardware, the binary algorithm runs about 25% faster (80% the execution time) than the division-based Euclidian algorithm. On platforms like Alpha and ARMv6 where division is a function call to emulation code, it's even more significant. There are two variants of the code here, depending on whether a fast __ffs (find least significant set bit) instruction is available. This allows the unpredictable branches in the bit-at-a-time shifting loop to be eliminated. If fast __ffs is not available, the "even/odd" GCD variant is used. I use the following code to benchmark: #include <stdio.h> #include <stdlib.h> #include <stdint.h> #include <string.h> #include <time.h> #include <unistd.h> #define swap(a, b) \ do { \ a ^= b; \ b ^= a; \ a ^= b; \ } while (0) unsigned long gcd0(unsigned long a, unsigned long b) { unsigned long r; if (a < b) { swap(a, b); } if (b == 0) return a; while ((r = a % b) != 0) { a = b; b = r; } return b; } unsigned long gcd1(unsigned long a, unsigned long b) { unsigned long r = a | b; if (!a || !b) return r; b >>= __builtin_ctzl(b); for (;;) { a >>= __builtin_ctzl(a); if (a == b) return a << __builtin_ctzl(r); if (a < b) swap(a, b); a -= b; } } unsigned long gcd2(unsigned long a, unsigned long b) { unsigned long r = a | b; if (!a || !b) return r; r &= -r; while (!(b & r)) b >>= 1; for (;;) { while (!(a & r)) a >>= 1; if (a == b) return a; if (a < b) swap(a, b); a -= b; a >>= 1; if (a & r) a += b; a >>= 1; } } unsigned long gcd3(unsigned long a, unsigned long b) { unsigned long r = a | b; if (!a || !b) return r; b >>= __builtin_ctzl(b); if (b == 1) return r & -r; for (;;) { a >>= __builtin_ctzl(a); if (a == 1) return r & -r; if (a == b) return a << __builtin_ctzl(r); if (a < b) swap(a, b); a -= b; } } unsigned long gcd4(unsigned long a, unsigned long b) { unsigned long r = a | b; if (!a || !b) return r; r &= -r; while (!(b & r)) b >>= 1; if (b == r) return r; for (;;) { while (!(a & r)) a >>= 1; if (a == r) return r; if (a == b) return a; if (a < b) swap(a, b); a -= b; a >>= 1; if (a & r) a += b; a >>= 1; } } static unsigned long (*gcd_func[])(unsigned long a, unsigned long b) = { gcd0, gcd1, gcd2, gcd3, gcd4, }; #define TEST_ENTRIES (sizeof(gcd_func) / sizeof(gcd_func[0])) #if defined(__x86_64__) #define rdtscll(val) do { \ unsigned long __a,__d; \ __asm__ __volatile__("rdtsc" : "=a" (__a), "=d" (__d)); \ (val) = ((unsigned long long)__a) | (((unsigned long long)__d)<<32); \ } while(0) static unsigned long long benchmark_gcd_func(unsigned long (*gcd)(unsigned long, unsigned long), unsigned long a, unsigned long b, unsigned long *res) { unsigned long long start, end; unsigned long long ret; unsigned long gcd_res; rdtscll(start); gcd_res = gcd(a, b); rdtscll(end); if (end >= start) ret = end - start; else ret = ~0ULL - start + 1 + end; *res = gcd_res; return ret; } #else static inline struct timespec read_time(void) { struct timespec time; clock_gettime(CLOCK_PROCESS_CPUTIME_ID, &time); return time; } static inline unsigned long long diff_time(struct timespec start, struct timespec end) { struct timespec temp; if ((end.tv_nsec - start.tv_nsec) < 0) { temp.tv_sec = end.tv_sec - start.tv_sec - 1; temp.tv_nsec = 1000000000ULL + end.tv_nsec - start.tv_nsec; } else { temp.tv_sec = end.tv_sec - start.tv_sec; temp.tv_nsec = end.tv_nsec - start.tv_nsec; } return temp.tv_sec * 1000000000ULL + temp.tv_nsec; } static unsigned long long benchmark_gcd_func(unsigned long (*gcd)(unsigned long, unsigned long), unsigned long a, unsigned long b, unsigned long *res) { struct timespec start, end; unsigned long gcd_res; start = read_time(); gcd_res = gcd(a, b); end = read_time(); *res = gcd_res; return diff_time(start, end); } #endif static inline unsigned long get_rand() { if (sizeof(long) == 8) return (unsigned long)rand() << 32 | rand(); else return rand(); } int main(int argc, char **argv) { unsigned int seed = time(0); int loops = 100; int repeats = 1000; unsigned long (*res)[TEST_ENTRIES]; unsigned long long elapsed[TEST_ENTRIES]; int i, j, k; for (;;) { int opt = getopt(argc, argv, "n:r:s:"); /* End condition always first */ if (opt == -1) break; switch (opt) { case 'n': loops = atoi(optarg); break; case 'r': repeats = atoi(optarg); break; case 's': seed = strtoul(optarg, NULL, 10); break; default: /* You won't actually get here. */ break; } } res = malloc(sizeof(unsigned long) * TEST_ENTRIES * loops); memset(elapsed, 0, sizeof(elapsed)); srand(seed); for (j = 0; j < loops; j++) { unsigned long a = get_rand(); /* Do we have args? */ unsigned long b = argc > optind ? strtoul(argv[optind], NULL, 10) : get_rand(); unsigned long long min_elapsed[TEST_ENTRIES]; for (k = 0; k < repeats; k++) { for (i = 0; i < TEST_ENTRIES; i++) { unsigned long long tmp = benchmark_gcd_func(gcd_func[i], a, b, &res[j][i]); if (k == 0 || min_elapsed[i] > tmp) min_elapsed[i] = tmp; } } for (i = 0; i < TEST_ENTRIES; i++) elapsed[i] += min_elapsed[i]; } for (i = 0; i < TEST_ENTRIES; i++) printf("gcd%d: elapsed %llu\n", i, elapsed[i]); k = 0; srand(seed); for (j = 0; j < loops; j++) { unsigned long a = get_rand(); unsigned long b = argc > optind ? strtoul(argv[optind], NULL, 10) : get_rand(); for (i = 1; i < TEST_ENTRIES; i++) { if (res[j][i] != res[j][0]) break; } if (i < TEST_ENTRIES) { if (k == 0) { k = 1; fprintf(stderr, "Error:\n"); } fprintf(stderr, "gcd(%lu, %lu): ", a, b); for (i = 0; i < TEST_ENTRIES; i++) fprintf(stderr, "%ld%s", res[j][i], i < TEST_ENTRIES - 1 ? ", " : "\n"); } } if (k == 0) fprintf(stderr, "PASS\n"); free(res); return 0; } Compiled with "-O2", on "VirtualBox 4.4.0-22-generic #38-Ubuntu x86_64" got: zhaoxiuzeng@zhaoxiuzeng-VirtualBox:~/develop$ ./gcd -r 500000 -n 10 gcd0: elapsed 10174 gcd1: elapsed 2120 gcd2: elapsed 2902 gcd3: elapsed 2039 gcd4: elapsed 2812 PASS zhaoxiuzeng@zhaoxiuzeng-VirtualBox:~/develop$ ./gcd -r 500000 -n 10 gcd0: elapsed 9309 gcd1: elapsed 2280 gcd2: elapsed 2822 gcd3: elapsed 2217 gcd4: elapsed 2710 PASS zhaoxiuzeng@zhaoxiuzeng-VirtualBox:~/develop$ ./gcd -r 500000 -n 10 gcd0: elapsed 9589 gcd1: elapsed 2098 gcd2: elapsed 2815 gcd3: elapsed 2030 gcd4: elapsed 2718 PASS zhaoxiuzeng@zhaoxiuzeng-VirtualBox:~/develop$ ./gcd -r 500000 -n 10 gcd0: elapsed 9914 gcd1: elapsed 2309 gcd2: elapsed 2779 gcd3: elapsed 2228 gcd4: elapsed 2709 PASS [akpm@linux-foundation.org: avoid #defining a CONFIG_ variable] Signed-off-by: Zhaoxiu Zeng <zhaoxiu.zeng@gmail.com> Signed-off-by: George Spelvin <linux@horizon.com> Signed-off-by: Andrew Morton <akpm@linux-foundation.org> Signed-off-by: Linus Torvalds <torvalds@linux-foundation.org>
298 lines
7.3 KiB
Plaintext
298 lines
7.3 KiB
Plaintext
config MICROBLAZE
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def_bool y
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select ARCH_HAS_GCOV_PROFILE_ALL
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select ARCH_MIGHT_HAVE_PC_PARPORT
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select ARCH_WANT_IPC_PARSE_VERSION
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select ARCH_WANT_OPTIONAL_GPIOLIB
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select BUILDTIME_EXTABLE_SORT
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select CLKSRC_OF
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select CLONE_BACKWARDS3
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select COMMON_CLK
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select GENERIC_ATOMIC64
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select GENERIC_CLOCKEVENTS
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select GENERIC_CPU_DEVICES
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select GENERIC_IDLE_POLL_SETUP
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select GENERIC_IRQ_PROBE
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select GENERIC_IRQ_SHOW
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select GENERIC_PCI_IOMAP
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select GENERIC_SCHED_CLOCK
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select HAVE_ARCH_KGDB
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select HAVE_DEBUG_KMEMLEAK
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select HAVE_DMA_API_DEBUG
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select HAVE_DYNAMIC_FTRACE
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select HAVE_FTRACE_MCOUNT_RECORD
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select HAVE_FUNCTION_GRAPH_TRACER
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select HAVE_FUNCTION_TRACER
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select HAVE_MEMBLOCK
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select HAVE_MEMBLOCK_NODE_MAP
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select HAVE_OPROFILE
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select IRQ_DOMAIN
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select MODULES_USE_ELF_RELA
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select OF
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select OF_EARLY_FLATTREE
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select TRACING_SUPPORT
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select VIRT_TO_BUS
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select CPU_NO_EFFICIENT_FFS
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config SWAP
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def_bool n
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config RWSEM_GENERIC_SPINLOCK
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def_bool y
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config ZONE_DMA
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def_bool y
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config RWSEM_XCHGADD_ALGORITHM
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bool
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config ARCH_HAS_ILOG2_U32
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def_bool n
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config ARCH_HAS_ILOG2_U64
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def_bool n
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config GENERIC_HWEIGHT
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def_bool y
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config GENERIC_CALIBRATE_DELAY
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def_bool y
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config GENERIC_CSUM
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def_bool y
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config STACKTRACE_SUPPORT
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def_bool y
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config LOCKDEP_SUPPORT
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def_bool y
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source "init/Kconfig"
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source "kernel/Kconfig.freezer"
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source "arch/microblaze/Kconfig.platform"
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menu "Processor type and features"
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source "kernel/Kconfig.preempt"
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source "kernel/Kconfig.hz"
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config MMU
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bool "MMU support"
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default n
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comment "Boot options"
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config CMDLINE_BOOL
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bool "Default bootloader kernel arguments"
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config CMDLINE
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string "Default kernel command string"
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depends on CMDLINE_BOOL
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default "console=ttyUL0,115200"
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help
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On some architectures there is currently no way for the boot loader
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to pass arguments to the kernel. For these architectures, you should
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supply some command-line options at build time by entering them
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here.
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config CMDLINE_FORCE
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bool "Force default kernel command string"
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depends on CMDLINE_BOOL
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default n
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help
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Set this to have arguments from the default kernel command string
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override those passed by the boot loader.
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config SECCOMP
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bool "Enable seccomp to safely compute untrusted bytecode"
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depends on PROC_FS
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default y
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help
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This kernel feature is useful for number crunching applications
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that may need to compute untrusted bytecode during their
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execution. By using pipes or other transports made available to
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the process as file descriptors supporting the read/write
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syscalls, it's possible to isolate those applications in
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their own address space using seccomp. Once seccomp is
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enabled via /proc/<pid>/seccomp, it cannot be disabled
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and the task is only allowed to execute a few safe syscalls
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defined by each seccomp mode.
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If unsure, say Y. Only embedded should say N here.
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endmenu
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menu "Kernel features"
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config NR_CPUS
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int
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default "1"
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config ADVANCED_OPTIONS
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bool "Prompt for advanced kernel configuration options"
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help
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This option will enable prompting for a variety of advanced kernel
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configuration options. These options can cause the kernel to not
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work if they are set incorrectly, but can be used to optimize certain
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aspects of kernel memory management.
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Unless you know what you are doing, say N here.
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comment "Default settings for advanced configuration options are used"
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depends on !ADVANCED_OPTIONS
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config XILINX_UNCACHED_SHADOW
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bool "Are you using uncached shadow for RAM ?"
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depends on ADVANCED_OPTIONS && !MMU
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default n
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help
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This is needed to be able to allocate uncachable memory regions.
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The feature requires the design to define the RAM memory controller
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window to be twice as large as the actual physical memory.
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config HIGHMEM
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bool "High memory support"
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depends on MMU
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help
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The address space of Microblaze processors is only 4 Gigabytes large
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and it has to accommodate user address space, kernel address
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space as well as some memory mapped IO. That means that, if you
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have a large amount of physical memory and/or IO, not all of the
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memory can be "permanently mapped" by the kernel. The physical
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memory that is not permanently mapped is called "high memory".
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If unsure, say n.
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config LOWMEM_SIZE_BOOL
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bool "Set maximum low memory"
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depends on ADVANCED_OPTIONS && MMU
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help
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This option allows you to set the maximum amount of memory which
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will be used as "low memory", that is, memory which the kernel can
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access directly, without having to set up a kernel virtual mapping.
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This can be useful in optimizing the layout of kernel virtual
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memory.
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Say N here unless you know what you are doing.
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config LOWMEM_SIZE
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hex "Maximum low memory size (in bytes)" if LOWMEM_SIZE_BOOL
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default "0x30000000"
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config MANUAL_RESET_VECTOR
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hex "Microblaze reset vector address setup"
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default "0x0"
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help
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Set this option to have the kernel override the CPU Reset vector.
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If zero, no change will be made to the MicroBlaze reset vector at
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address 0x0.
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If non-zero, a jump instruction to this address, will be written
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to the reset vector at address 0x0.
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If you are unsure, set it to default value 0x0.
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config KERNEL_START_BOOL
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bool "Set custom kernel base address"
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depends on ADVANCED_OPTIONS
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help
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This option allows you to set the kernel virtual address at which
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the kernel will map low memory (the kernel image will be linked at
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this address). This can be useful in optimizing the virtual memory
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layout of the system.
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Say N here unless you know what you are doing.
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config KERNEL_START
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hex "Virtual address of kernel base" if KERNEL_START_BOOL
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default "0xc0000000" if MMU
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default KERNEL_BASE_ADDR if !MMU
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config TASK_SIZE_BOOL
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bool "Set custom user task size"
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depends on ADVANCED_OPTIONS && MMU
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help
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This option allows you to set the amount of virtual address space
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allocated to user tasks. This can be useful in optimizing the
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virtual memory layout of the system.
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Say N here unless you know what you are doing.
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config TASK_SIZE
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hex "Size of user task space" if TASK_SIZE_BOOL
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default "0x80000000"
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choice
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prompt "Page size"
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default MICROBLAZE_4K_PAGES
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depends on ADVANCED_OPTIONS && !MMU
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help
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Select the kernel logical page size. Increasing the page size
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will reduce software overhead at each page boundary, allow
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hardware prefetch mechanisms to be more effective, and allow
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larger dma transfers increasing IO efficiency and reducing
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overhead. However the utilization of memory will increase.
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For example, each cached file will using a multiple of the
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page size to hold its contents and the difference between the
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end of file and the end of page is wasted.
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If unsure, choose 4K_PAGES.
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config MICROBLAZE_4K_PAGES
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bool "4k page size"
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config MICROBLAZE_16K_PAGES
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bool "16k page size"
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config MICROBLAZE_64K_PAGES
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bool "64k page size"
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endchoice
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source "mm/Kconfig"
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endmenu
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menu "Executable file formats"
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source "fs/Kconfig.binfmt"
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endmenu
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menu "Bus Options"
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config PCI
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bool "PCI support"
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config PCI_DOMAINS
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def_bool PCI
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config PCI_DOMAINS_GENERIC
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def_bool PCI_DOMAINS
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config PCI_SYSCALL
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def_bool PCI
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config PCI_XILINX
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bool "Xilinx PCI host bridge support"
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depends on PCI
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source "drivers/pci/Kconfig"
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endmenu
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source "net/Kconfig"
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source "drivers/Kconfig"
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source "fs/Kconfig"
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source "arch/microblaze/Kconfig.debug"
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source "security/Kconfig"
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source "crypto/Kconfig"
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source "lib/Kconfig"
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