aboutsummaryrefslogtreecommitdiff
path: root/build/stem.i
diff options
context:
space:
mode:
Diffstat (limited to 'build/stem.i')
-rw-r--r--build/stem.i4228
1 files changed, 4228 insertions, 0 deletions
diff --git a/build/stem.i b/build/stem.i
new file mode 100644
index 0000000..e2c2a9c
--- /dev/null
+++ b/build/stem.i
@@ -0,0 +1,4228 @@
+# 0 "src/stem.c"
+# 0 "<built-in>"
+# 0 "<command-line>"
+# 1 "/usr/include/stdc-predef.h" 1 3 4
+# 0 "<command-line>" 2
+# 1 "src/stem.c"
+# 1 "/usr/include/ctype.h" 1 3 4
+# 25 "/usr/include/ctype.h" 3 4
+# 1 "/usr/include/features.h" 1 3 4
+# 394 "/usr/include/features.h" 3 4
+# 1 "/usr/include/features-time64.h" 1 3 4
+# 20 "/usr/include/features-time64.h" 3 4
+# 1 "/usr/include/bits/wordsize.h" 1 3 4
+# 21 "/usr/include/features-time64.h" 2 3 4
+# 1 "/usr/include/bits/timesize.h" 1 3 4
+# 19 "/usr/include/bits/timesize.h" 3 4
+# 1 "/usr/include/bits/wordsize.h" 1 3 4
+# 20 "/usr/include/bits/timesize.h" 2 3 4
+# 22 "/usr/include/features-time64.h" 2 3 4
+# 395 "/usr/include/features.h" 2 3 4
+# 503 "/usr/include/features.h" 3 4
+# 1 "/usr/include/sys/cdefs.h" 1 3 4
+# 576 "/usr/include/sys/cdefs.h" 3 4
+# 1 "/usr/include/bits/wordsize.h" 1 3 4
+# 577 "/usr/include/sys/cdefs.h" 2 3 4
+# 1 "/usr/include/bits/long-double.h" 1 3 4
+# 578 "/usr/include/sys/cdefs.h" 2 3 4
+# 504 "/usr/include/features.h" 2 3 4
+# 527 "/usr/include/features.h" 3 4
+# 1 "/usr/include/gnu/stubs.h" 1 3 4
+# 10 "/usr/include/gnu/stubs.h" 3 4
+# 1 "/usr/include/gnu/stubs-64.h" 1 3 4
+# 11 "/usr/include/gnu/stubs.h" 2 3 4
+# 528 "/usr/include/features.h" 2 3 4
+# 26 "/usr/include/ctype.h" 2 3 4
+# 1 "/usr/include/bits/types.h" 1 3 4
+# 27 "/usr/include/bits/types.h" 3 4
+# 1 "/usr/include/bits/wordsize.h" 1 3 4
+# 28 "/usr/include/bits/types.h" 2 3 4
+# 1 "/usr/include/bits/timesize.h" 1 3 4
+# 19 "/usr/include/bits/timesize.h" 3 4
+# 1 "/usr/include/bits/wordsize.h" 1 3 4
+# 20 "/usr/include/bits/timesize.h" 2 3 4
+# 29 "/usr/include/bits/types.h" 2 3 4
+
+
+
+# 31 "/usr/include/bits/types.h" 3 4
+typedef unsigned char __u_char;
+typedef unsigned short int __u_short;
+typedef unsigned int __u_int;
+typedef unsigned long int __u_long;
+
+
+typedef signed char __int8_t;
+typedef unsigned char __uint8_t;
+typedef signed short int __int16_t;
+typedef unsigned short int __uint16_t;
+typedef signed int __int32_t;
+typedef unsigned int __uint32_t;
+
+typedef signed long int __int64_t;
+typedef unsigned long int __uint64_t;
+
+
+
+
+
+
+typedef __int8_t __int_least8_t;
+typedef __uint8_t __uint_least8_t;
+typedef __int16_t __int_least16_t;
+typedef __uint16_t __uint_least16_t;
+typedef __int32_t __int_least32_t;
+typedef __uint32_t __uint_least32_t;
+typedef __int64_t __int_least64_t;
+typedef __uint64_t __uint_least64_t;
+
+
+
+typedef long int __quad_t;
+typedef unsigned long int __u_quad_t;
+
+
+
+
+
+
+
+typedef long int __intmax_t;
+typedef unsigned long int __uintmax_t;
+# 141 "/usr/include/bits/types.h" 3 4
+# 1 "/usr/include/bits/typesizes.h" 1 3 4
+# 142 "/usr/include/bits/types.h" 2 3 4
+# 1 "/usr/include/bits/time64.h" 1 3 4
+# 143 "/usr/include/bits/types.h" 2 3 4
+
+
+typedef unsigned long int __dev_t;
+typedef unsigned int __uid_t;
+typedef unsigned int __gid_t;
+typedef unsigned long int __ino_t;
+typedef unsigned long int __ino64_t;
+typedef unsigned int __mode_t;
+typedef unsigned long int __nlink_t;
+typedef long int __off_t;
+typedef long int __off64_t;
+typedef int __pid_t;
+typedef struct { int __val[2]; } __fsid_t;
+typedef long int __clock_t;
+typedef unsigned long int __rlim_t;
+typedef unsigned long int __rlim64_t;
+typedef unsigned int __id_t;
+typedef long int __time_t;
+typedef unsigned int __useconds_t;
+typedef long int __suseconds_t;
+typedef long int __suseconds64_t;
+
+typedef int __daddr_t;
+typedef int __key_t;
+
+
+typedef int __clockid_t;
+
+
+typedef void * __timer_t;
+
+
+typedef long int __blksize_t;
+
+
+
+
+typedef long int __blkcnt_t;
+typedef long int __blkcnt64_t;
+
+
+typedef unsigned long int __fsblkcnt_t;
+typedef unsigned long int __fsblkcnt64_t;
+
+
+typedef unsigned long int __fsfilcnt_t;
+typedef unsigned long int __fsfilcnt64_t;
+
+
+typedef long int __fsword_t;
+
+typedef long int __ssize_t;
+
+
+typedef long int __syscall_slong_t;
+
+typedef unsigned long int __syscall_ulong_t;
+
+
+
+typedef __off64_t __loff_t;
+typedef char *__caddr_t;
+
+
+typedef long int __intptr_t;
+
+
+typedef unsigned int __socklen_t;
+
+
+
+
+typedef int __sig_atomic_t;
+# 27 "/usr/include/ctype.h" 2 3 4
+
+
+# 39 "/usr/include/ctype.h" 3 4
+# 1 "/usr/include/bits/endian.h" 1 3 4
+# 35 "/usr/include/bits/endian.h" 3 4
+# 1 "/usr/include/bits/endianness.h" 1 3 4
+# 36 "/usr/include/bits/endian.h" 2 3 4
+# 40 "/usr/include/ctype.h" 2 3 4
+
+
+
+
+
+
+enum
+{
+ _ISupper = ((0) < 8 ? ((1 << (0)) << 8) : ((1 << (0)) >> 8)),
+ _ISlower = ((1) < 8 ? ((1 << (1)) << 8) : ((1 << (1)) >> 8)),
+ _ISalpha = ((2) < 8 ? ((1 << (2)) << 8) : ((1 << (2)) >> 8)),
+ _ISdigit = ((3) < 8 ? ((1 << (3)) << 8) : ((1 << (3)) >> 8)),
+ _ISxdigit = ((4) < 8 ? ((1 << (4)) << 8) : ((1 << (4)) >> 8)),
+ _ISspace = ((5) < 8 ? ((1 << (5)) << 8) : ((1 << (5)) >> 8)),
+ _ISprint = ((6) < 8 ? ((1 << (6)) << 8) : ((1 << (6)) >> 8)),
+ _ISgraph = ((7) < 8 ? ((1 << (7)) << 8) : ((1 << (7)) >> 8)),
+ _ISblank = ((8) < 8 ? ((1 << (8)) << 8) : ((1 << (8)) >> 8)),
+ _IScntrl = ((9) < 8 ? ((1 << (9)) << 8) : ((1 << (9)) >> 8)),
+ _ISpunct = ((10) < 8 ? ((1 << (10)) << 8) : ((1 << (10)) >> 8)),
+ _ISalnum = ((11) < 8 ? ((1 << (11)) << 8) : ((1 << (11)) >> 8))
+};
+# 79 "/usr/include/ctype.h" 3 4
+extern const unsigned short int **__ctype_b_loc (void)
+ __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__));
+extern const __int32_t **__ctype_tolower_loc (void)
+ __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__));
+extern const __int32_t **__ctype_toupper_loc (void)
+ __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__));
+# 108 "/usr/include/ctype.h" 3 4
+extern int isalnum (int) __attribute__ ((__nothrow__ , __leaf__));
+extern int isalpha (int) __attribute__ ((__nothrow__ , __leaf__));
+extern int iscntrl (int) __attribute__ ((__nothrow__ , __leaf__));
+extern int isdigit (int) __attribute__ ((__nothrow__ , __leaf__));
+extern int islower (int) __attribute__ ((__nothrow__ , __leaf__));
+extern int isgraph (int) __attribute__ ((__nothrow__ , __leaf__));
+extern int isprint (int) __attribute__ ((__nothrow__ , __leaf__));
+extern int ispunct (int) __attribute__ ((__nothrow__ , __leaf__));
+extern int isspace (int) __attribute__ ((__nothrow__ , __leaf__));
+extern int isupper (int) __attribute__ ((__nothrow__ , __leaf__));
+extern int isxdigit (int) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+extern int tolower (int __c) __attribute__ ((__nothrow__ , __leaf__));
+
+
+extern int toupper (int __c) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+
+extern int isblank (int) __attribute__ ((__nothrow__ , __leaf__));
+# 142 "/usr/include/ctype.h" 3 4
+extern int isascii (int __c) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+extern int toascii (int __c) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+extern int _toupper (int) __attribute__ ((__nothrow__ , __leaf__));
+extern int _tolower (int) __attribute__ ((__nothrow__ , __leaf__));
+# 206 "/usr/include/ctype.h" 3 4
+extern __inline __attribute__ ((__gnu_inline__)) int
+__attribute__ ((__nothrow__ , __leaf__)) tolower (int __c)
+{
+ return __c >= -128 && __c < 256 ? (*__ctype_tolower_loc ())[__c] : __c;
+}
+
+extern __inline __attribute__ ((__gnu_inline__)) int
+__attribute__ ((__nothrow__ , __leaf__)) toupper (int __c)
+{
+ return __c >= -128 && __c < 256 ? (*__ctype_toupper_loc ())[__c] : __c;
+}
+# 237 "/usr/include/ctype.h" 3 4
+# 1 "/usr/include/bits/types/locale_t.h" 1 3 4
+# 22 "/usr/include/bits/types/locale_t.h" 3 4
+# 1 "/usr/include/bits/types/__locale_t.h" 1 3 4
+# 27 "/usr/include/bits/types/__locale_t.h" 3 4
+struct __locale_struct
+{
+
+ struct __locale_data *__locales[13];
+
+
+ const unsigned short int *__ctype_b;
+ const int *__ctype_tolower;
+ const int *__ctype_toupper;
+
+
+ const char *__names[13];
+};
+
+typedef struct __locale_struct *__locale_t;
+# 23 "/usr/include/bits/types/locale_t.h" 2 3 4
+
+typedef __locale_t locale_t;
+# 238 "/usr/include/ctype.h" 2 3 4
+# 251 "/usr/include/ctype.h" 3 4
+extern int isalnum_l (int, locale_t) __attribute__ ((__nothrow__ , __leaf__));
+extern int isalpha_l (int, locale_t) __attribute__ ((__nothrow__ , __leaf__));
+extern int iscntrl_l (int, locale_t) __attribute__ ((__nothrow__ , __leaf__));
+extern int isdigit_l (int, locale_t) __attribute__ ((__nothrow__ , __leaf__));
+extern int islower_l (int, locale_t) __attribute__ ((__nothrow__ , __leaf__));
+extern int isgraph_l (int, locale_t) __attribute__ ((__nothrow__ , __leaf__));
+extern int isprint_l (int, locale_t) __attribute__ ((__nothrow__ , __leaf__));
+extern int ispunct_l (int, locale_t) __attribute__ ((__nothrow__ , __leaf__));
+extern int isspace_l (int, locale_t) __attribute__ ((__nothrow__ , __leaf__));
+extern int isupper_l (int, locale_t) __attribute__ ((__nothrow__ , __leaf__));
+extern int isxdigit_l (int, locale_t) __attribute__ ((__nothrow__ , __leaf__));
+
+extern int isblank_l (int, locale_t) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+extern int __tolower_l (int __c, locale_t __l) __attribute__ ((__nothrow__ , __leaf__));
+extern int tolower_l (int __c, locale_t __l) __attribute__ ((__nothrow__ , __leaf__));
+
+
+extern int __toupper_l (int __c, locale_t __l) __attribute__ ((__nothrow__ , __leaf__));
+extern int toupper_l (int __c, locale_t __l) __attribute__ ((__nothrow__ , __leaf__));
+# 327 "/usr/include/ctype.h" 3 4
+
+# 2 "src/stem.c" 2
+# 1 "include/macros.h" 1
+# 78 "include/macros.h"
+
+# 78 "include/macros.h"
+void die(char *message);
+# 3 "src/stem.c" 2
+# 1 "/usr/include/math.h" 1 3 4
+# 27 "/usr/include/math.h" 3 4
+# 1 "/usr/include/bits/libc-header-start.h" 1 3 4
+# 28 "/usr/include/math.h" 2 3 4
+
+
+
+
+
+
+
+
+
+
+
+
+# 1 "/usr/include/bits/math-vector.h" 1 3 4
+# 25 "/usr/include/bits/math-vector.h" 3 4
+# 1 "/usr/include/bits/libm-simd-decl-stubs.h" 1 3 4
+# 26 "/usr/include/bits/math-vector.h" 2 3 4
+# 41 "/usr/include/math.h" 2 3 4
+
+
+# 1 "/usr/include/bits/floatn.h" 1 3 4
+# 119 "/usr/include/bits/floatn.h" 3 4
+# 1 "/usr/include/bits/floatn-common.h" 1 3 4
+# 24 "/usr/include/bits/floatn-common.h" 3 4
+# 1 "/usr/include/bits/long-double.h" 1 3 4
+# 25 "/usr/include/bits/floatn-common.h" 2 3 4
+# 120 "/usr/include/bits/floatn.h" 2 3 4
+# 44 "/usr/include/math.h" 2 3 4
+# 152 "/usr/include/math.h" 3 4
+# 1 "/usr/include/bits/flt-eval-method.h" 1 3 4
+# 153 "/usr/include/math.h" 2 3 4
+# 163 "/usr/include/math.h" 3 4
+
+# 163 "/usr/include/math.h" 3 4
+typedef float float_t;
+typedef double double_t;
+# 204 "/usr/include/math.h" 3 4
+# 1 "/usr/include/bits/fp-logb.h" 1 3 4
+# 205 "/usr/include/math.h" 2 3 4
+# 247 "/usr/include/math.h" 3 4
+# 1 "/usr/include/bits/fp-fast.h" 1 3 4
+# 248 "/usr/include/math.h" 2 3 4
+# 312 "/usr/include/math.h" 3 4
+# 1 "/usr/include/bits/mathcalls-helper-functions.h" 1 3 4
+# 20 "/usr/include/bits/mathcalls-helper-functions.h" 3 4
+extern int __fpclassify (double __value) __attribute__ ((__nothrow__ , __leaf__))
+ __attribute__ ((__const__));
+
+
+extern int __signbit (double __value) __attribute__ ((__nothrow__ , __leaf__))
+ __attribute__ ((__const__));
+
+
+
+extern int __isinf (double __value) __attribute__ ((__nothrow__ , __leaf__))
+ __attribute__ ((__const__));
+
+
+extern int __finite (double __value) __attribute__ ((__nothrow__ , __leaf__))
+ __attribute__ ((__const__));
+
+
+extern int __isnan (double __value) __attribute__ ((__nothrow__ , __leaf__))
+ __attribute__ ((__const__));
+
+
+extern int __iseqsig (double __x, double __y) __attribute__ ((__nothrow__ , __leaf__));
+
+
+extern int __issignaling (double __value) __attribute__ ((__nothrow__ , __leaf__))
+ __attribute__ ((__const__));
+# 313 "/usr/include/math.h" 2 3 4
+# 1 "/usr/include/bits/mathcalls.h" 1 3 4
+# 53 "/usr/include/bits/mathcalls.h" 3 4
+ extern double acos (double __x) __attribute__ ((__nothrow__ , __leaf__)); extern double __acos (double __x) __attribute__ ((__nothrow__ , __leaf__));
+
+ extern double asin (double __x) __attribute__ ((__nothrow__ , __leaf__)); extern double __asin (double __x) __attribute__ ((__nothrow__ , __leaf__));
+
+ extern double atan (double __x) __attribute__ ((__nothrow__ , __leaf__)); extern double __atan (double __x) __attribute__ ((__nothrow__ , __leaf__));
+
+ extern double atan2 (double __y, double __x) __attribute__ ((__nothrow__ , __leaf__)); extern double __atan2 (double __y, double __x) __attribute__ ((__nothrow__ , __leaf__));
+
+
+ extern double cos (double __x) __attribute__ ((__nothrow__ , __leaf__)); extern double __cos (double __x) __attribute__ ((__nothrow__ , __leaf__));
+
+ extern double sin (double __x) __attribute__ ((__nothrow__ , __leaf__)); extern double __sin (double __x) __attribute__ ((__nothrow__ , __leaf__));
+
+ extern double tan (double __x) __attribute__ ((__nothrow__ , __leaf__)); extern double __tan (double __x) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+
+ extern double cosh (double __x) __attribute__ ((__nothrow__ , __leaf__)); extern double __cosh (double __x) __attribute__ ((__nothrow__ , __leaf__));
+
+ extern double sinh (double __x) __attribute__ ((__nothrow__ , __leaf__)); extern double __sinh (double __x) __attribute__ ((__nothrow__ , __leaf__));
+
+ extern double tanh (double __x) __attribute__ ((__nothrow__ , __leaf__)); extern double __tanh (double __x) __attribute__ ((__nothrow__ , __leaf__));
+# 85 "/usr/include/bits/mathcalls.h" 3 4
+ extern double acosh (double __x) __attribute__ ((__nothrow__ , __leaf__)); extern double __acosh (double __x) __attribute__ ((__nothrow__ , __leaf__));
+
+ extern double asinh (double __x) __attribute__ ((__nothrow__ , __leaf__)); extern double __asinh (double __x) __attribute__ ((__nothrow__ , __leaf__));
+
+ extern double atanh (double __x) __attribute__ ((__nothrow__ , __leaf__)); extern double __atanh (double __x) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+
+
+ extern double exp (double __x) __attribute__ ((__nothrow__ , __leaf__)); extern double __exp (double __x) __attribute__ ((__nothrow__ , __leaf__));
+
+
+extern double frexp (double __x, int *__exponent) __attribute__ ((__nothrow__ , __leaf__)); extern double __frexp (double __x, int *__exponent) __attribute__ ((__nothrow__ , __leaf__));
+
+
+extern double ldexp (double __x, int __exponent) __attribute__ ((__nothrow__ , __leaf__)); extern double __ldexp (double __x, int __exponent) __attribute__ ((__nothrow__ , __leaf__));
+
+
+ extern double log (double __x) __attribute__ ((__nothrow__ , __leaf__)); extern double __log (double __x) __attribute__ ((__nothrow__ , __leaf__));
+
+
+ extern double log10 (double __x) __attribute__ ((__nothrow__ , __leaf__)); extern double __log10 (double __x) __attribute__ ((__nothrow__ , __leaf__));
+
+
+extern double modf (double __x, double *__iptr) __attribute__ ((__nothrow__ , __leaf__)); extern double __modf (double __x, double *__iptr) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (2)));
+# 119 "/usr/include/bits/mathcalls.h" 3 4
+ extern double expm1 (double __x) __attribute__ ((__nothrow__ , __leaf__)); extern double __expm1 (double __x) __attribute__ ((__nothrow__ , __leaf__));
+
+
+ extern double log1p (double __x) __attribute__ ((__nothrow__ , __leaf__)); extern double __log1p (double __x) __attribute__ ((__nothrow__ , __leaf__));
+
+
+extern double logb (double __x) __attribute__ ((__nothrow__ , __leaf__)); extern double __logb (double __x) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+
+ extern double exp2 (double __x) __attribute__ ((__nothrow__ , __leaf__)); extern double __exp2 (double __x) __attribute__ ((__nothrow__ , __leaf__));
+
+
+ extern double log2 (double __x) __attribute__ ((__nothrow__ , __leaf__)); extern double __log2 (double __x) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+
+
+
+ extern double pow (double __x, double __y) __attribute__ ((__nothrow__ , __leaf__)); extern double __pow (double __x, double __y) __attribute__ ((__nothrow__ , __leaf__));
+
+
+extern double sqrt (double __x) __attribute__ ((__nothrow__ , __leaf__)); extern double __sqrt (double __x) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+ extern double hypot (double __x, double __y) __attribute__ ((__nothrow__ , __leaf__)); extern double __hypot (double __x, double __y) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+
+ extern double cbrt (double __x) __attribute__ ((__nothrow__ , __leaf__)); extern double __cbrt (double __x) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+
+
+
+extern double ceil (double __x) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__)); extern double __ceil (double __x) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__));
+
+
+extern double fabs (double __x) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__)); extern double __fabs (double __x) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__));
+
+
+extern double floor (double __x) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__)); extern double __floor (double __x) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__));
+
+
+extern double fmod (double __x, double __y) __attribute__ ((__nothrow__ , __leaf__)); extern double __fmod (double __x, double __y) __attribute__ ((__nothrow__ , __leaf__));
+# 177 "/usr/include/bits/mathcalls.h" 3 4
+extern int isinf (double __value) __attribute__ ((__nothrow__ , __leaf__))
+ __attribute__ ((__const__));
+
+
+
+
+extern int finite (double __value) __attribute__ ((__nothrow__ , __leaf__))
+ __attribute__ ((__const__));
+
+
+extern double drem (double __x, double __y) __attribute__ ((__nothrow__ , __leaf__)); extern double __drem (double __x, double __y) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+extern double significand (double __x) __attribute__ ((__nothrow__ , __leaf__)); extern double __significand (double __x) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+
+
+
+extern double copysign (double __x, double __y) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__)); extern double __copysign (double __x, double __y) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__));
+
+
+
+
+extern double nan (const char *__tagb) __attribute__ ((__nothrow__ , __leaf__)); extern double __nan (const char *__tagb) __attribute__ ((__nothrow__ , __leaf__));
+# 213 "/usr/include/bits/mathcalls.h" 3 4
+extern int isnan (double __value) __attribute__ ((__nothrow__ , __leaf__))
+ __attribute__ ((__const__));
+
+
+
+
+
+extern double j0 (double) __attribute__ ((__nothrow__ , __leaf__)); extern double __j0 (double) __attribute__ ((__nothrow__ , __leaf__));
+extern double j1 (double) __attribute__ ((__nothrow__ , __leaf__)); extern double __j1 (double) __attribute__ ((__nothrow__ , __leaf__));
+extern double jn (int, double) __attribute__ ((__nothrow__ , __leaf__)); extern double __jn (int, double) __attribute__ ((__nothrow__ , __leaf__));
+extern double y0 (double) __attribute__ ((__nothrow__ , __leaf__)); extern double __y0 (double) __attribute__ ((__nothrow__ , __leaf__));
+extern double y1 (double) __attribute__ ((__nothrow__ , __leaf__)); extern double __y1 (double) __attribute__ ((__nothrow__ , __leaf__));
+extern double yn (int, double) __attribute__ ((__nothrow__ , __leaf__)); extern double __yn (int, double) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+
+
+ extern double erf (double) __attribute__ ((__nothrow__ , __leaf__)); extern double __erf (double) __attribute__ ((__nothrow__ , __leaf__));
+ extern double erfc (double) __attribute__ ((__nothrow__ , __leaf__)); extern double __erfc (double) __attribute__ ((__nothrow__ , __leaf__));
+extern double lgamma (double) __attribute__ ((__nothrow__ , __leaf__)); extern double __lgamma (double) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+
+extern double tgamma (double) __attribute__ ((__nothrow__ , __leaf__)); extern double __tgamma (double) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+
+
+extern double gamma (double) __attribute__ ((__nothrow__ , __leaf__)); extern double __gamma (double) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+
+
+
+
+extern double lgamma_r (double, int *__signgamp) __attribute__ ((__nothrow__ , __leaf__)); extern double __lgamma_r (double, int *__signgamp) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+
+
+
+extern double rint (double __x) __attribute__ ((__nothrow__ , __leaf__)); extern double __rint (double __x) __attribute__ ((__nothrow__ , __leaf__));
+
+
+extern double nextafter (double __x, double __y) __attribute__ ((__nothrow__ , __leaf__)); extern double __nextafter (double __x, double __y) __attribute__ ((__nothrow__ , __leaf__));
+
+extern double nexttoward (double __x, long double __y) __attribute__ ((__nothrow__ , __leaf__)); extern double __nexttoward (double __x, long double __y) __attribute__ ((__nothrow__ , __leaf__));
+# 275 "/usr/include/bits/mathcalls.h" 3 4
+extern double remainder (double __x, double __y) __attribute__ ((__nothrow__ , __leaf__)); extern double __remainder (double __x, double __y) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+extern double scalbn (double __x, int __n) __attribute__ ((__nothrow__ , __leaf__)); extern double __scalbn (double __x, int __n) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+extern int ilogb (double __x) __attribute__ ((__nothrow__ , __leaf__)); extern int __ilogb (double __x) __attribute__ ((__nothrow__ , __leaf__));
+# 293 "/usr/include/bits/mathcalls.h" 3 4
+extern double scalbln (double __x, long int __n) __attribute__ ((__nothrow__ , __leaf__)); extern double __scalbln (double __x, long int __n) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+extern double nearbyint (double __x) __attribute__ ((__nothrow__ , __leaf__)); extern double __nearbyint (double __x) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+extern double round (double __x) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__)); extern double __round (double __x) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__));
+
+
+
+extern double trunc (double __x) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__)); extern double __trunc (double __x) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__));
+
+
+
+
+extern double remquo (double __x, double __y, int *__quo) __attribute__ ((__nothrow__ , __leaf__)); extern double __remquo (double __x, double __y, int *__quo) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+
+
+
+extern long int lrint (double __x) __attribute__ ((__nothrow__ , __leaf__)); extern long int __lrint (double __x) __attribute__ ((__nothrow__ , __leaf__));
+__extension__
+extern long long int llrint (double __x) __attribute__ ((__nothrow__ , __leaf__)); extern long long int __llrint (double __x) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+extern long int lround (double __x) __attribute__ ((__nothrow__ , __leaf__)); extern long int __lround (double __x) __attribute__ ((__nothrow__ , __leaf__));
+__extension__
+extern long long int llround (double __x) __attribute__ ((__nothrow__ , __leaf__)); extern long long int __llround (double __x) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+extern double fdim (double __x, double __y) __attribute__ ((__nothrow__ , __leaf__)); extern double __fdim (double __x, double __y) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+extern double fmax (double __x, double __y) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__)); extern double __fmax (double __x, double __y) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__));
+
+
+extern double fmin (double __x, double __y) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__)); extern double __fmin (double __x, double __y) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__));
+
+
+
+extern double fma (double __x, double __y, double __z) __attribute__ ((__nothrow__ , __leaf__)); extern double __fma (double __x, double __y, double __z) __attribute__ ((__nothrow__ , __leaf__));
+# 435 "/usr/include/bits/mathcalls.h" 3 4
+extern double scalb (double __x, double __n) __attribute__ ((__nothrow__ , __leaf__)); extern double __scalb (double __x, double __n) __attribute__ ((__nothrow__ , __leaf__));
+# 314 "/usr/include/math.h" 2 3 4
+# 329 "/usr/include/math.h" 3 4
+# 1 "/usr/include/bits/mathcalls-helper-functions.h" 1 3 4
+# 20 "/usr/include/bits/mathcalls-helper-functions.h" 3 4
+extern int __fpclassifyf (float __value) __attribute__ ((__nothrow__ , __leaf__))
+ __attribute__ ((__const__));
+
+
+extern int __signbitf (float __value) __attribute__ ((__nothrow__ , __leaf__))
+ __attribute__ ((__const__));
+
+
+
+extern int __isinff (float __value) __attribute__ ((__nothrow__ , __leaf__))
+ __attribute__ ((__const__));
+
+
+extern int __finitef (float __value) __attribute__ ((__nothrow__ , __leaf__))
+ __attribute__ ((__const__));
+
+
+extern int __isnanf (float __value) __attribute__ ((__nothrow__ , __leaf__))
+ __attribute__ ((__const__));
+
+
+extern int __iseqsigf (float __x, float __y) __attribute__ ((__nothrow__ , __leaf__));
+
+
+extern int __issignalingf (float __value) __attribute__ ((__nothrow__ , __leaf__))
+ __attribute__ ((__const__));
+# 330 "/usr/include/math.h" 2 3 4
+# 1 "/usr/include/bits/mathcalls.h" 1 3 4
+# 53 "/usr/include/bits/mathcalls.h" 3 4
+ extern float acosf (float __x) __attribute__ ((__nothrow__ , __leaf__)); extern float __acosf (float __x) __attribute__ ((__nothrow__ , __leaf__));
+
+ extern float asinf (float __x) __attribute__ ((__nothrow__ , __leaf__)); extern float __asinf (float __x) __attribute__ ((__nothrow__ , __leaf__));
+
+ extern float atanf (float __x) __attribute__ ((__nothrow__ , __leaf__)); extern float __atanf (float __x) __attribute__ ((__nothrow__ , __leaf__));
+
+ extern float atan2f (float __y, float __x) __attribute__ ((__nothrow__ , __leaf__)); extern float __atan2f (float __y, float __x) __attribute__ ((__nothrow__ , __leaf__));
+
+
+ extern float cosf (float __x) __attribute__ ((__nothrow__ , __leaf__)); extern float __cosf (float __x) __attribute__ ((__nothrow__ , __leaf__));
+
+ extern float sinf (float __x) __attribute__ ((__nothrow__ , __leaf__)); extern float __sinf (float __x) __attribute__ ((__nothrow__ , __leaf__));
+
+ extern float tanf (float __x) __attribute__ ((__nothrow__ , __leaf__)); extern float __tanf (float __x) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+
+ extern float coshf (float __x) __attribute__ ((__nothrow__ , __leaf__)); extern float __coshf (float __x) __attribute__ ((__nothrow__ , __leaf__));
+
+ extern float sinhf (float __x) __attribute__ ((__nothrow__ , __leaf__)); extern float __sinhf (float __x) __attribute__ ((__nothrow__ , __leaf__));
+
+ extern float tanhf (float __x) __attribute__ ((__nothrow__ , __leaf__)); extern float __tanhf (float __x) __attribute__ ((__nothrow__ , __leaf__));
+# 85 "/usr/include/bits/mathcalls.h" 3 4
+ extern float acoshf (float __x) __attribute__ ((__nothrow__ , __leaf__)); extern float __acoshf (float __x) __attribute__ ((__nothrow__ , __leaf__));
+
+ extern float asinhf (float __x) __attribute__ ((__nothrow__ , __leaf__)); extern float __asinhf (float __x) __attribute__ ((__nothrow__ , __leaf__));
+
+ extern float atanhf (float __x) __attribute__ ((__nothrow__ , __leaf__)); extern float __atanhf (float __x) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+
+
+ extern float expf (float __x) __attribute__ ((__nothrow__ , __leaf__)); extern float __expf (float __x) __attribute__ ((__nothrow__ , __leaf__));
+
+
+extern float frexpf (float __x, int *__exponent) __attribute__ ((__nothrow__ , __leaf__)); extern float __frexpf (float __x, int *__exponent) __attribute__ ((__nothrow__ , __leaf__));
+
+
+extern float ldexpf (float __x, int __exponent) __attribute__ ((__nothrow__ , __leaf__)); extern float __ldexpf (float __x, int __exponent) __attribute__ ((__nothrow__ , __leaf__));
+
+
+ extern float logf (float __x) __attribute__ ((__nothrow__ , __leaf__)); extern float __logf (float __x) __attribute__ ((__nothrow__ , __leaf__));
+
+
+ extern float log10f (float __x) __attribute__ ((__nothrow__ , __leaf__)); extern float __log10f (float __x) __attribute__ ((__nothrow__ , __leaf__));
+
+
+extern float modff (float __x, float *__iptr) __attribute__ ((__nothrow__ , __leaf__)); extern float __modff (float __x, float *__iptr) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__nonnull__ (2)));
+# 119 "/usr/include/bits/mathcalls.h" 3 4
+ extern float expm1f (float __x) __attribute__ ((__nothrow__ , __leaf__)); extern float __expm1f (float __x) __attribute__ ((__nothrow__ , __leaf__));
+
+
+ extern float log1pf (float __x) __attribute__ ((__nothrow__ , __leaf__)); extern float __log1pf (float __x) __attribute__ ((__nothrow__ , __leaf__));
+
+
+extern float logbf (float __x) __attribute__ ((__nothrow__ , __leaf__)); extern float __logbf (float __x) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+
+ extern float exp2f (float __x) __attribute__ ((__nothrow__ , __leaf__)); extern float __exp2f (float __x) __attribute__ ((__nothrow__ , __leaf__));
+
+
+ extern float log2f (float __x) __attribute__ ((__nothrow__ , __leaf__)); extern float __log2f (float __x) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+
+
+
+ extern float powf (float __x, float __y) __attribute__ ((__nothrow__ , __leaf__)); extern float __powf (float __x, float __y) __attribute__ ((__nothrow__ , __leaf__));
+
+
+extern float sqrtf (float __x) __attribute__ ((__nothrow__ , __leaf__)); extern float __sqrtf (float __x) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+ extern float hypotf (float __x, float __y) __attribute__ ((__nothrow__ , __leaf__)); extern float __hypotf (float __x, float __y) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+
+ extern float cbrtf (float __x) __attribute__ ((__nothrow__ , __leaf__)); extern float __cbrtf (float __x) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+
+
+
+extern float ceilf (float __x) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__)); extern float __ceilf (float __x) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__));
+
+
+extern float fabsf (float __x) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__)); extern float __fabsf (float __x) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__));
+
+
+extern float floorf (float __x) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__)); extern float __floorf (float __x) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__));
+
+
+extern float fmodf (float __x, float __y) __attribute__ ((__nothrow__ , __leaf__)); extern float __fmodf (float __x, float __y) __attribute__ ((__nothrow__ , __leaf__));
+# 177 "/usr/include/bits/mathcalls.h" 3 4
+extern int isinff (float __value) __attribute__ ((__nothrow__ , __leaf__))
+ __attribute__ ((__const__));
+
+
+
+
+extern int finitef (float __value) __attribute__ ((__nothrow__ , __leaf__))
+ __attribute__ ((__const__));
+
+
+extern float dremf (float __x, float __y) __attribute__ ((__nothrow__ , __leaf__)); extern float __dremf (float __x, float __y) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+extern float significandf (float __x) __attribute__ ((__nothrow__ , __leaf__)); extern float __significandf (float __x) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+
+
+
+extern float copysignf (float __x, float __y) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__)); extern float __copysignf (float __x, float __y) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__));
+
+
+
+
+extern float nanf (const char *__tagb) __attribute__ ((__nothrow__ , __leaf__)); extern float __nanf (const char *__tagb) __attribute__ ((__nothrow__ , __leaf__));
+# 213 "/usr/include/bits/mathcalls.h" 3 4
+extern int isnanf (float __value) __attribute__ ((__nothrow__ , __leaf__))
+ __attribute__ ((__const__));
+
+
+
+
+
+extern float j0f (float) __attribute__ ((__nothrow__ , __leaf__)); extern float __j0f (float) __attribute__ ((__nothrow__ , __leaf__));
+extern float j1f (float) __attribute__ ((__nothrow__ , __leaf__)); extern float __j1f (float) __attribute__ ((__nothrow__ , __leaf__));
+extern float jnf (int, float) __attribute__ ((__nothrow__ , __leaf__)); extern float __jnf (int, float) __attribute__ ((__nothrow__ , __leaf__));
+extern float y0f (float) __attribute__ ((__nothrow__ , __leaf__)); extern float __y0f (float) __attribute__ ((__nothrow__ , __leaf__));
+extern float y1f (float) __attribute__ ((__nothrow__ , __leaf__)); extern float __y1f (float) __attribute__ ((__nothrow__ , __leaf__));
+extern float ynf (int, float) __attribute__ ((__nothrow__ , __leaf__)); extern float __ynf (int, float) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+
+
+ extern float erff (float) __attribute__ ((__nothrow__ , __leaf__)); extern float __erff (float) __attribute__ ((__nothrow__ , __leaf__));
+ extern float erfcf (float) __attribute__ ((__nothrow__ , __leaf__)); extern float __erfcf (float) __attribute__ ((__nothrow__ , __leaf__));
+extern float lgammaf (float) __attribute__ ((__nothrow__ , __leaf__)); extern float __lgammaf (float) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+
+extern float tgammaf (float) __attribute__ ((__nothrow__ , __leaf__)); extern float __tgammaf (float) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+
+
+extern float gammaf (float) __attribute__ ((__nothrow__ , __leaf__)); extern float __gammaf (float) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+
+
+
+
+extern float lgammaf_r (float, int *__signgamp) __attribute__ ((__nothrow__ , __leaf__)); extern float __lgammaf_r (float, int *__signgamp) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+
+
+
+extern float rintf (float __x) __attribute__ ((__nothrow__ , __leaf__)); extern float __rintf (float __x) __attribute__ ((__nothrow__ , __leaf__));
+
+
+extern float nextafterf (float __x, float __y) __attribute__ ((__nothrow__ , __leaf__)); extern float __nextafterf (float __x, float __y) __attribute__ ((__nothrow__ , __leaf__));
+
+extern float nexttowardf (float __x, long double __y) __attribute__ ((__nothrow__ , __leaf__)); extern float __nexttowardf (float __x, long double __y) __attribute__ ((__nothrow__ , __leaf__));
+# 275 "/usr/include/bits/mathcalls.h" 3 4
+extern float remainderf (float __x, float __y) __attribute__ ((__nothrow__ , __leaf__)); extern float __remainderf (float __x, float __y) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+extern float scalbnf (float __x, int __n) __attribute__ ((__nothrow__ , __leaf__)); extern float __scalbnf (float __x, int __n) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+extern int ilogbf (float __x) __attribute__ ((__nothrow__ , __leaf__)); extern int __ilogbf (float __x) __attribute__ ((__nothrow__ , __leaf__));
+# 293 "/usr/include/bits/mathcalls.h" 3 4
+extern float scalblnf (float __x, long int __n) __attribute__ ((__nothrow__ , __leaf__)); extern float __scalblnf (float __x, long int __n) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+extern float nearbyintf (float __x) __attribute__ ((__nothrow__ , __leaf__)); extern float __nearbyintf (float __x) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+extern float roundf (float __x) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__)); extern float __roundf (float __x) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__));
+
+
+
+extern float truncf (float __x) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__)); extern float __truncf (float __x) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__));
+
+
+
+
+extern float remquof (float __x, float __y, int *__quo) __attribute__ ((__nothrow__ , __leaf__)); extern float __remquof (float __x, float __y, int *__quo) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+
+
+
+extern long int lrintf (float __x) __attribute__ ((__nothrow__ , __leaf__)); extern long int __lrintf (float __x) __attribute__ ((__nothrow__ , __leaf__));
+__extension__
+extern long long int llrintf (float __x) __attribute__ ((__nothrow__ , __leaf__)); extern long long int __llrintf (float __x) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+extern long int lroundf (float __x) __attribute__ ((__nothrow__ , __leaf__)); extern long int __lroundf (float __x) __attribute__ ((__nothrow__ , __leaf__));
+__extension__
+extern long long int llroundf (float __x) __attribute__ ((__nothrow__ , __leaf__)); extern long long int __llroundf (float __x) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+extern float fdimf (float __x, float __y) __attribute__ ((__nothrow__ , __leaf__)); extern float __fdimf (float __x, float __y) __attribute__ ((__nothrow__ , __leaf__));
+
+
+
+extern float fmaxf (float __x, float __y) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__)); extern float __fmaxf (float __x, float __y) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__));
+
+
+extern float fminf (float __x, float __y) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__)); extern float __fminf (float __x, float __y) __attribute__ ((__nothrow__ , __leaf__)) __attribute__ ((__const__));
+
+
+
+extern float fmaf (float __x, float __y, float __z) __attribute__ ((__nothrow__ , __leaf__)); extern float __fmaf (float __x, float __y, float __z) __attribute__ ((__nothrow__ , __leaf__));
+# 435 "/usr/include/bits/mathcalls.h" 3 4
+extern float scalbf (float __x, float __n) __attribute__ ((__nothrow__ , __leaf__)); extern float __scalbf (float __x, float __n) __attribute__ ((__nothrow__ , __leaf__));
+# 331 "/usr/include/math.h" 2 3 4
+# 398 "/usr/include/math.h" 3 4
+# 1 "/usr/include/bits/mathcalls-helper-functions.h" 1 3 4
+# 20 "/usr/include/bits/mathcalls-helper-functions.h" 3 4
+extern int __fpclassifyl (long double __value) __attribute__ ((__nothrow__ , __leaf__))
+ __attribute__ ((__const__));
+
+
+extern int __signbitl (long double __value) __attribute__ ((__nothrow__ , __leaf__))
+ __attribute__ ((__const__));
+
+
+
+extern int __isinfl (long double __value) __attribute__ ((__nothrow__ , __leaf__))
+ __attribute__ ((__const__));
+
+
+extern int __finitel (long double __value) __attribute__ ((__nothrow__ , __leaf__))
+ __attribute__ ((__const__));
+
+
+extern int __isnanl (long double __value) __attribute__ ((__nothrow__ , __leaf__))
+ __attribute__ ((__const__));
+
+
+extern int __iseqsigl (long double __x, long double __y) __attribute__ ((__nothrow__ , __leaf__));
+
+
+extern int __issignalingl (long double __value) __attribute__ ((__nothrow__ , __leaf__))
+ __attribute__ ((__const__));
+# 399 "/usr/include/math.h" 2 3 4
+# 1 "/usr/include/bits/mathcalls.h" 1 3 4
+# 53 "/usr/include/bits/mathcalls.h" 3 4
+ extern long double acosl (long double __x) __attribute__ ((__nothrow__ , __leaf__)); extern long double __acosl (long double __x) __attribute__ ((__nothrow__ , __leaf__));
+
+ extern long double asinl (long double __x) __attribute__ ((__nothrow__ , __leaf__)); extern long double __asinl (long double __x) __attribute__ ((__nothrow__ , __leaf__));
+
+ extern long double atanl (long double __x) __attribute__ ((__nothrow__ , __leaf__)); extern long double __atanl (long double __x) __attribute__ ((__nothrow__ , __leaf__));
+
+ extern long double atan2l (long double __y, long double __x) __attribu