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  • src/libcfa/math.c

    rdc5376a r6e991d6  
     1//                               -*- Mode: C -*-
    12//
    23// Cforall Version 1.0.0 Copyright (C) 2016 University of Waterloo
     
    1011// Created On       : Tue Apr 19 22:23:08 2016
    1112// Last Modified By : Peter A. Buhr
    12 // Last Modified On : Sun Apr 24 08:52:31 2016
    13 // Update Count     : 75
     13// Last Modified On : Thu Apr 21 07:56:49 2016
     14// Update Count     : 51
    1415//
    1516
    1617#include "math"
    1718
     19//---------------------------------------
     20
    1821extern "C" {
     22#include <math.h>
    1923#include <complex.h>
    2024} // extern "C"
     25
     26float cos( float x ) { return cosf( x ); }
     27long double cos( long double x ) { return cosl( x ); }
     28float _Complex cos( float _Complex x ) { return ccosf( x ); }
     29double _Complex cos( double _Complex x ) { return ccos( x ); }
     30long double _Complex cos( long double _Complex x ) { return ccosl( x ); }
     31
     32float cosh( float x ) { return coshf( x ); }
     33long double cosh( long double x ) { return coshl( x ); }
     34float _Complex cosh( float _Complex x ) { return ccoshf( x ); }
     35double _Complex cosh( double _Complex x ) { return ccosh( x ); }
     36long double _Complex cosh( long double _Complex x ) { return ccoshl( x ); }
     37
     38float acos( float x ) { return acosf( x ); }
     39long double acos( long double x ) { return acosl( x ); }
     40float _Complex acos( float _Complex x ) { return cacosf( x ); }
     41double _Complex acos( double _Complex x ) { return cacos( x ); }
     42long double _Complex acos( long double _Complex x ) { return cacosl( x ); }
     43
     44float acosh( float x ) { return acoshf( x ); }
     45long double acosh( long double x ) { return acoshl( x ); }
     46float _Complex acosh( float _Complex x ) { return cacoshf( x ); }
     47double _Complex acosh( double _Complex x ) { return cacosh( x ); }
     48long double _Complex acosh( long double _Complex x ) { return cacoshl( x ); }
     49
     50float sin( float x ) { return sinf( x ); }
     51long double sin( long double x ) { return sinl( x ); }
     52float _Complex sin( float _Complex x ) { return csinf( x ); }
     53double _Complex sin( double _Complex x ) { return csin( x ); }
     54long double _Complex sin( long double _Complex x ) { return csinl( x ); }
     55
     56float sinh( float x ) { return sinhf( x ); }
     57long double sinh( long double x ) { return sinhl( x ); }
     58float _Complex sinh( float _Complex x ) { return csinhf( x ); }
     59double _Complex sinh( double _Complex x ) { return csinh( x ); }
     60long double _Complex sinh( long double _Complex x ) { return csinhl( x ); }
     61
     62float asin( float x ) { return asinf( x ); }
     63long double asin( long double x ) { return asinl( x ); }
     64float _Complex asin( float _Complex x ) { return casinf( x ); }
     65double _Complex asin( double _Complex x ) { return casin( x ); }
     66long double _Complex asin( long double _Complex x ) { return casinl( x ); }
     67
     68float asinh( float x ) { return asinhf( x ); }
     69long double asinh( long double x ) { return asinhl( x ); }
     70float _Complex asinh( float _Complex x ) { return casinhf( x ); }
     71double _Complex asinh( double _Complex x ) { return casinh( x ); }
     72long double _Complex asinh( long double _Complex x ) { return casinhl( x ); }
     73
     74float tan( float x ) { return tanf( x ); }
     75long double tan( long double x ) { return tanl( x ); }
     76float _Complex tan( float _Complex x ) { return ctanf( x ); }
     77double _Complex tan( double _Complex x ) { return ctan( x ); }
     78long double _Complex tan( long double _Complex x ) { return ctanl( x ); }
     79
     80float tanh( float x ) { return tanhf( x ); }
     81long double tanh( long double x ) { return tanhl( x ); }
     82float _Complex tanh( float _Complex x ) { return ctanhf( x ); }
     83double _Complex tanh( double _Complex x ) { return ctanh( x ); }
     84long double _Complex tanh( long double _Complex x ) { return ctanhl( x ); }
     85
     86float atan( float x ) { return atanf( x ); }
     87long double atan( long double x ) { return atanl( x ); }
     88float _Complex atan( float _Complex x ) { return catanf( x ); }
     89double _Complex atan( double _Complex x ) { return catan( x ); }
     90long double _Complex atan( long double _Complex x ) { return catanl( x ); }
     91
     92float atan( float x, float y ) { return atan2f( x, y ); }
     93double atan( double x, double y ) { return atan2( x, y ); }
     94long double atan( long double x, long double y ) { return atan2l( x, y ); }
     95
     96float atanh( float x ) { return atanhf( x ); }
     97long double atanh( long double x ) { return atanhl( x ); }
     98float _Complex atanh( float _Complex x ) { return catanhf( x ); }
     99double _Complex atanh( double _Complex x ) { return catanh( x ); }
     100long double _Complex atanh( long double _Complex x ) { return catanhl( x ); }
     101
     102float exp( float x ) { return expf( x ); }
     103long double exp( long double x ) { return expl( x ); }
     104float _Complex exp( float _Complex x ) { return cexpf( x ); }
     105double _Complex exp( double _Complex x ) { return cexp( x ); }
     106long double _Complex exp( long double _Complex x ) { return cexpl( x ); }
     107
     108float log( float x ) { return logf( x ); }
     109long double log( long double x ) { return logl( x ); }
     110float _Complex log( float _Complex x ) { return clogf( x ); }
     111double _Complex log( double _Complex x ) { return clog( x ); }
     112long double _Complex log( long double _Complex x ) { return clogl( x ); }
     113
     114float pow( float x, float y ) { return powf( x, y ); }
     115long double pow( long double x, long double y ) { return powl( x, y ); }
     116float _Complex pow( float _Complex x, float _Complex y ) { return cpowf( x, y ); }
     117double _Complex pow( double _Complex x, double _Complex y ) { return cpow( x, y ); }
     118long double _Complex pow( long double _Complex x, long double _Complex y ) { return cpowl( x, y ); }
     119
     120float sqrt( float x ) { return sqrtf( x ); }
     121long double sqrt( long double x ) { return sqrtl( x ); }
     122float _Complex sqrt( float _Complex x ) { return csqrtf( x ); }
     123double _Complex sqrt( double _Complex x ) { return csqrt( x ); }
     124long double _Complex sqrt( long double _Complex x ) { return csqrtl( x ); }
    21125
    22126float fabs( float x ) { return fabsf( x ); }
    23127long double fabs( long double x ) { return fabsl( x ); }
    24128float cabs( float _Complex x ) { return cabsf( x ); }
    25 double cabs( double _Complex x ) { return cabs( x ); }
    26129long double cabs( long double _Complex x ) { return cabsl( x ); }
     130
     131float floor( float x ) { return floorf( x ); }
     132long double floor( long double x ) { return floorl( x ); }
     133
     134float ceil( float x ) { return ceilf( x ); }
     135long double ceil( long double x ) { return ceill( x ); }
     136
     137//---------------------------------------
     138
     139float cbrt( float x ) { return cbrtf( x ); }
     140long double cbrt( long double x ) { return cbrtl( x ); }
     141
     142float copysign( float x, float y ) { return copysignf( x, y ); }
     143long double copysign( long double x, long double y ) { return copysignl( x, y ); }
     144
     145float erf( float x ) { return erff( x ); }
     146long double erf( long double x ) { return erfl( x ); }
     147
     148float erfc( float x ) { return erfcf( x ); }
     149long double erfc( long double x ) { return erfcl( x ); }
     150
     151float exp2( float x ) { return exp2f( x ); }
     152long double exp2( long double x ) { return exp2l( x ); }
     153
     154float expm1( float x ) { return expm1f( x ); }
     155long double expm1( long double x ) { return expm1l( x ); }
     156
     157float fdim( float x, float y ) { return fdimf( x, y ); }
     158long double fdim( long double x, long double y ) { return fdiml( x, y ); }
     159
     160float fma( float x, float y, float z ) { return fmaf( x, y, z ); }
     161long double fma( long double x, long double y, long double z ) { return fmal( x, y, z ); }
    27162
    28163float ?%?( float x, float y ) { return fmodf( x, y ); }
     
    32167long double fmod( long double x, long double y ) { return fmodl( x, y ); }
    33168
    34 float remainder( float x, float y ) { return remainderf( x, y ); }
    35 long double remainder( long double x, long double y ) { return remainderl( x, y ); }
    36 
    37 // [ int, float ] remquo( float x, float y ) { int quo; x = remquof( x, y, &quo ); return [ quo, x ]; }
    38 float remquo( float x, float y, int *quo ) { return remquof( x, y, quo ); }
    39 // [ int, double ] remquo( double x, double y ) { int quo; x = remquo( x, y, &quo ); return [ quo, x ]; }
    40 // [ int, long double ] remquo( long double x, long double y ) { int quo; x = remquol( x, y, &quo ); return [ quo, x ]; }
    41 long double remquo( long double x, long double y, int *quo ) { return remquol( x, y, quo ); }
    42 
    43 // [ int, float ] div( float x, float y ) { int quo; x = remquof( x, y, &quo ); return [ quo, x ]; }
    44 float div( float x, float y, int *quo ) { return remquof( x, y, quo ); }
    45 // [ int, double ] div( double x, double y ) { int quo; x = remquo( x, y, &quo ); return [ quo, x ]; }
    46 // [ int, long double ] div( long double x, long double y ) { int quo; x = remquol( x, y, &quo ); return [ quo, x ]; }
    47 long double div( long double x, long double y, int *quo ) { return remquol( x, y, quo ); }
    48 
    49 float fma( float x, float y, float z ) { return fmaf( x, y, z ); }
    50 long double fma( long double x, long double y, long double z ) { return fmal( x, y, z ); }
    51 
    52 float fdim( float x, float y ) { return fdimf( x, y ); }
    53 long double fdim( long double x, long double y ) { return fdiml( x, y ); }
    54 
    55 float nan( const char *tag ) { return nanf( tag ); }
    56 long double nan( const char *tag ) { return nanl( tag ); }
    57 
    58 //---------------------- Exponential ----------------------
    59 
    60 float exp( float x ) { return expf( x ); }
    61 long double exp( long double x ) { return expl( x ); }
    62 float _Complex exp( float _Complex x ) { return cexpf( x ); }
    63 double _Complex exp( double _Complex x ) { return cexp( x ); }
    64 long double _Complex exp( long double _Complex x ) { return cexpl( x ); }
    65 
    66 float exp2( float x ) { return exp2f( x ); }
    67 long double exp2( long double x ) { return exp2l( x ); }
    68 // float _Complex exp2( float _Complex x ) { return cexp2f( x ); }
    69 // double _Complex exp2( double _Complex x ) { return cexp2( x ); }
    70 // long double _Complex exp2( long double _Complex x ) { return cexp2l( x ); }
    71 
    72 float expm1( float x ) { return expm1f( x ); }
    73 long double expm1( long double x ) { return expm1l( x ); }
    74 
    75 float log( float x ) { return logf( x ); }
    76 long double log( long double x ) { return logl( x ); }
    77 float _Complex log( float _Complex x ) { return clogf( x ); }
    78 double _Complex log( double _Complex x ) { return clog( x ); }
    79 long double _Complex log( long double _Complex x ) { return clogl( x ); }
    80 
    81 float log2( float x ) { return log2f( x ); }
    82 long double log2( long double x ) { return log2l( x ); }
    83 // float _Complex log2( float _Complex x ) { return clog2f( x ); }
    84 // double _Complex log2( double _Complex x ) { return clog2( x ); }
    85 // long double _Complex log2( long double _Complex x ) { return clog2l( x ); }
    86 
    87 float log10( float x ) { return log10f( x ); }
    88 long double log10( long double x ) { return log10l( x ); }
    89 // float _Complex log10( float _Complex x ) { return clog10f( x ); }
    90 // double _Complex log10( double _Complex x ) { return clog10( x ); }
    91 // long double _Complex log10( long double _Complex x ) { return clog10l( x ); }
    92 
    93 float log1p( float x ) { return log1pf( x ); }
    94 long double log1p( long double x ) { return log1pl( x ); }
     169//[ int, float ] div( float x ) { int i; x = frexpf( x, &i ); return [ i, x ]; }
     170float frexp( float x, int *ip ) { return frexpf( x, ip ); }
     171//[ int, double ] div( double x ) { int i; x = frexp( x, &i ); return [ i, x ]; }
     172//[ int, long double ] div( long double x ) { int i; x = frexpl( x, &i ); return [ i, x ]; }
     173long double frexp( long double x, int *ip ) { return frexpl( x, ip ); }
     174
     175float hypot( float x, float y ) { return hypotf( x, y ); }
     176long double hypot( long double x, long double y ) { return hypotl( x, y ); }
    95177
    96178int ilogb( float x ) { return ilogbf( x ); }
    97179int ilogb( long double x ) { return ilogbl( x ); }
    98180
    99 float logb( float x ) { return logbf( x ); }
    100 long double logb( long double x ) { return logbl( x ); }
    101 
    102 //---------------------- Power ----------------------
    103 
    104 float sqrt( float x ) { return sqrtf( x ); }
    105 long double sqrt( long double x ) { return sqrtl( x ); }
    106 float _Complex sqrt( float _Complex x ) { return csqrtf( x ); }
    107 double _Complex sqrt( double _Complex x ) { return csqrt( x ); }
    108 long double _Complex sqrt( long double _Complex x ) { return csqrtl( x ); }
    109 
    110 float cbrt( float x ) { return cbrtf( x ); }
    111 long double cbrt( long double x ) { return cbrtl( x ); }
    112 
    113 float hypot( float x, float y ) { return hypotf( x, y ); }
    114 long double hypot( long double x, long double y ) { return hypotl( x, y ); }
    115 
    116 float pow( float x, float y ) { return powf( x, y ); }
    117 long double pow( long double x, long double y ) { return powl( x, y ); }
    118 float _Complex pow( float _Complex x, float _Complex y ) { return cpowf( x, y ); }
    119 double _Complex pow( double _Complex x, double _Complex y ) { return cpow( x, y ); }
    120 long double _Complex pow( long double _Complex x, long double _Complex y ) { return cpowl( x, y ); }
    121 
    122 //---------------------- Trigonometric ----------------------
    123 
    124 float sin( float x ) { return sinf( x ); }
    125 long double sin( long double x ) { return sinl( x ); }
    126 float _Complex sin( float _Complex x ) { return csinf( x ); }
    127 double _Complex sin( double _Complex x ) { return csin( x ); }
    128 long double _Complex sin( long double _Complex x ) { return csinl( x ); }
    129 
    130 float cos( float x ) { return cosf( x ); }
    131 long double cos( long double x ) { return cosl( x ); }
    132 float _Complex cos( float _Complex x ) { return ccosf( x ); }
    133 double _Complex cos( double _Complex x ) { return ccos( x ); }
    134 long double _Complex cos( long double _Complex x ) { return ccosl( x ); }
    135 
    136 float tan( float x ) { return tanf( x ); }
    137 long double tan( long double x ) { return tanl( x ); }
    138 float _Complex tan( float _Complex x ) { return ctanf( x ); }
    139 double _Complex tan( double _Complex x ) { return ctan( x ); }
    140 long double _Complex tan( long double _Complex x ) { return ctanl( x ); }
    141 
    142 float asin( float x ) { return asinf( x ); }
    143 long double asin( long double x ) { return asinl( x ); }
    144 float _Complex asin( float _Complex x ) { return casinf( x ); }
    145 double _Complex asin( double _Complex x ) { return casin( x ); }
    146 long double _Complex asin( long double _Complex x ) { return casinl( x ); }
    147 
    148 float acos( float x ) { return acosf( x ); }
    149 long double acos( long double x ) { return acosl( x ); }
    150 float _Complex acos( float _Complex x ) { return cacosf( x ); }
    151 double _Complex acos( double _Complex x ) { return cacos( x ); }
    152 long double _Complex acos( long double _Complex x ) { return cacosl( x ); }
    153 
    154 float atan( float x ) { return atanf( x ); }
    155 long double atan( long double x ) { return atanl( x ); }
    156 float _Complex atan( float _Complex x ) { return catanf( x ); }
    157 double _Complex atan( double _Complex x ) { return catan( x ); }
    158 long double _Complex atan( long double _Complex x ) { return catanl( x ); }
    159 
    160 float atan2( float x, float y ) { return atan2f( x, y ); }
    161 double atan2( double x, double y ) { return atan2( x, y ); }
    162 long double atan2( long double x, long double y ) { return atan2l( x, y ); }
    163 
    164 float atan( float x, float y ) { return atan2f( x, y ); }
    165 double atan( double x, double y ) { return atan2( x, y ); }
    166 long double atan( long double x, long double y ) { return atan2l( x, y ); }
    167 
    168 //---------------------- Hyperbolic ----------------------
    169 
    170 float sinh( float x ) { return sinhf( x ); }
    171 long double sinh( long double x ) { return sinhl( x ); }
    172 float _Complex sinh( float _Complex x ) { return csinhf( x ); }
    173 double _Complex sinh( double _Complex x ) { return csinh( x ); }
    174 long double _Complex sinh( long double _Complex x ) { return csinhl( x ); }
    175 
    176 float cosh( float x ) { return coshf( x ); }
    177 long double cosh( long double x ) { return coshl( x ); }
    178 float _Complex cosh( float _Complex x ) { return ccoshf( x ); }
    179 double _Complex cosh( double _Complex x ) { return ccosh( x ); }
    180 long double _Complex cosh( long double _Complex x ) { return ccoshl( x ); }
    181 
    182 float tanh( float x ) { return tanhf( x ); }
    183 long double tanh( long double x ) { return tanhl( x ); }
    184 float _Complex tanh( float _Complex x ) { return ctanhf( x ); }
    185 double _Complex tanh( double _Complex x ) { return ctanh( x ); }
    186 long double _Complex tanh( long double _Complex x ) { return ctanhl( x ); }
    187 
    188 float asinh( float x ) { return asinhf( x ); }
    189 long double asinh( long double x ) { return asinhl( x ); }
    190 float _Complex asinh( float _Complex x ) { return casinhf( x ); }
    191 double _Complex asinh( double _Complex x ) { return casinh( x ); }
    192 long double _Complex asinh( long double _Complex x ) { return casinhl( x ); }
    193 
    194 float acosh( float x ) { return acoshf( x ); }
    195 long double acosh( long double x ) { return acoshl( x ); }
    196 float _Complex acosh( float _Complex x ) { return cacoshf( x ); }
    197 double _Complex acosh( double _Complex x ) { return cacosh( x ); }
    198 long double _Complex acosh( long double _Complex x ) { return cacoshl( x ); }
    199 
    200 float atanh( float x ) { return atanhf( x ); }
    201 long double atanh( long double x ) { return atanhl( x ); }
    202 float _Complex atanh( float _Complex x ) { return catanhf( x ); }
    203 double _Complex atanh( double _Complex x ) { return catanh( x ); }
    204 long double _Complex atanh( long double _Complex x ) { return catanhl( x ); }
    205 
    206 //---------------------- Error / Gamma ----------------------
    207 
    208 float erf( float x ) { return erff( x ); }
    209 long double erf( long double x ) { return erfl( x ); }
    210 // float _Complex erf( float _Complex x ) { return crflf( x ); }
    211 // double _Complex erf( double _Complex x ) { return crfl( x ); }
    212 // long double _Complex erf( long double _Complex x ) { return crfll( x ); }
    213 
    214 float erfc( float x ) { return erfcf( x ); }
    215 long double erfc( long double x ) { return erfcl( x ); }
    216 // float _Complex erfc( float _Complex x ) { return cerfcf( x ); }
    217 // double _Complex erfc( double _Complex x ) { return cerfc( x ); }
    218 // long double _Complex erfc( long double _Complex x ) { return cerfcl( x ); }
     181float ldexp( float x, int exp2 ) { return ldexpf( x, exp2 ); }
     182long double ldexp( long double x, int exp2 ) { return ldexpl( x, exp2 ); }
    219183
    220184float lgamma( float x ) { return lgammaf( x ); }
    221185long double lgamma( long double x ) { return lgammal( x ); }
    222 float lgamma( float x, int *sign ) { return lgammaf_r( x, sign ); }
    223 double lgamma( double x, int *sign ) { return lgamma_r( x, sign ); }
    224 long double lgamma( long double x, int *sign ) { return lgammal_r( x, sign ); }
    225 
    226 float tgamma( float x ) { return tgammaf( x ); }
    227 long double tgamma( long double x ) { return tgammal( x ); }
    228 
    229 //---------------------- Nearest Integer ----------------------
    230 
    231 float floor( float x ) { return floorf( x ); }
    232 long double floor( long double x ) { return floorl( x ); }
    233 
    234 float ceil( float x ) { return ceilf( x ); }
    235 long double ceil( long double x ) { return ceill( x ); }
    236 
    237 float trunc( float x ) { return truncf( x ); }
    238 long double trunc( long double x ) { return truncl( x ); }
    239186
    240187float rint( float x ) { return rintf( x ); }
     
    252199long long int llrint( long double x ) { return llrintl( x ); }
    253200
    254 float nearbyint( float x ) { return nearbyintf( x ); }
    255 long double nearbyint( long double x ) { return nearbyintl( x ); }
    256 
    257201float round( float x ) { return roundf( x ); }
    258202long double round( long double x ) { return roundl( x ); }
     
    269213long long int llround( long double x ) { return llroundl( x ); }
    270214
    271 //---------------------- Manipulation ----------------------
    272 
    273 float copysign( float x, float y ) { return copysignf( x, y ); }
    274 long double copysign( long double x, long double y ) { return copysignl( x, y ); }
    275 
    276 float frexp( float x, int *ip ) { return frexpf( x, ip ); }
    277 long double frexp( long double x, int *ip ) { return frexpl( x, ip ); }
    278 
    279 float ldexp( float x, int exp2 ) { return ldexpf( x, exp2 ); }
    280 long double ldexp( long double x, int exp2 ) { return ldexpl( x, exp2 ); }
    281 
    282 // [ float, float ] modf( float x ) { float i; x = modff( x, &i ); return [ i, x ]; }
    283 float modf( float x, float *i ) { return modff( x, i ); }
    284 // [ double, double ] modf( double x ) { double i; x = modf( x, &i ); return [ i, x ]; }
    285 // [ long double, long double ] modf( long double x ) { long double i; x = modfl( x, &i ); return [ i, x ]; }
    286 long double modf( long double x, long double *i ) { return modfl( x, i ); }
     215float log10( float x ) { return log10f( x ); }
     216long double log10( long double x ) { return log10l( x ); }
     217
     218float log1p( float x ) { return log1pf( x ); }
     219long double log1p( long double x ) { return log1pl( x ); }
     220
     221float log2( float x ) { return log2f( x ); }
     222long double log2( long double x ) { return log2l( x ); }
     223
     224float logb( float x ) { return logbf( x ); }
     225long double logb( long double x ) { return logbl( x ); }
     226
     227float nearbyint( float x ) { return nearbyintf( x ); }
     228long double nearbyint( long double x ) { return nearbyintl( x ); }
    287229
    288230float nextafter( float x, float y ) { return nextafterf( x, y ); }
     
    291233float nexttoward( float x, long double y ) { return nexttowardf( x, y ); }
    292234long double nexttoward( long double x, long double y ) { return nexttowardl( x, y ); }
     235
     236float remainder( float x, float y ) { return remainderf( x, y ); }
     237long double remainder( long double x, long double y ) { return remainderl( x, y ); }
     238
     239//[ int, float ] remquo( float x, float y ) { int quo; x = remquof( x, y, &quo ); return [ quo, x ]; }
     240float remquo( float x, float y, int *quo ) { return remquof( x, y, quo ); }
     241//[ int, double ] remquo( double x, double y ) { int quo; x = remquo( x, y, &quo ); return [ quo, x ]; }
     242//[ int, long double ] remquo( long double x, long double y ) { int quo; x = remquol( x, y, &quo ); return [ quo, x ]; }
     243long double remquo( long double x, long double y, int *quo ) { return remquol( x, y, quo ); }
    293244
    294245float scalbn( float x, int exp ) { return scalbnf( x, exp ); }
     
    301252long double scalbln( long double x, long int exp ) { return scalblnl( x, exp ); }
    302253
     254float tgamma( float x ) { return tgammaf( x ); }
     255long double tgamma( long double x ) { return tgammal( x ); }
     256
     257float trunc( float x ) { return truncf( x ); }
     258long double trunc( long double x ) { return truncl( x ); }
     259
    303260// Local Variables: //
    304261// mode: c //
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