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/usr/include/gsl/gsl_machine.h is in libgsl-dev 2.3+dfsg-1.

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/* Author:  B. Gough and G. Jungman */
#ifndef __GSL_MACHINE_H__
#define __GSL_MACHINE_H__

#include <limits.h>
#include <float.h>

/* magic constants; mostly for the benefit of the implementation */

/* -*-MACHINE CONSTANTS-*-
 *
 * PLATFORM: Whiz-O-Matic 9000
 * FP_PLATFORM: IEEE-Virtual
 * HOSTNAME: nnn.lanl.gov
 * DATE: Fri Nov 20 17:53:26 MST 1998
 */
#define GSL_DBL_EPSILON        2.2204460492503131e-16
#define GSL_SQRT_DBL_EPSILON   1.4901161193847656e-08
#define GSL_ROOT3_DBL_EPSILON  6.0554544523933429e-06
#define GSL_ROOT4_DBL_EPSILON  1.2207031250000000e-04
#define GSL_ROOT5_DBL_EPSILON  7.4009597974140505e-04
#define GSL_ROOT6_DBL_EPSILON  2.4607833005759251e-03
#define GSL_LOG_DBL_EPSILON   (-3.6043653389117154e+01)

#define GSL_DBL_MIN        2.2250738585072014e-308
#define GSL_SQRT_DBL_MIN   1.4916681462400413e-154
#define GSL_ROOT3_DBL_MIN  2.8126442852362996e-103
#define GSL_ROOT4_DBL_MIN  1.2213386697554620e-77
#define GSL_ROOT5_DBL_MIN  2.9476022969691763e-62
#define GSL_ROOT6_DBL_MIN  5.3034368905798218e-52
#define GSL_LOG_DBL_MIN   (-7.0839641853226408e+02)

#define GSL_DBL_MAX        1.7976931348623157e+308
#define GSL_SQRT_DBL_MAX   1.3407807929942596e+154
#define GSL_ROOT3_DBL_MAX  5.6438030941222897e+102
#define GSL_ROOT4_DBL_MAX  1.1579208923731620e+77
#define GSL_ROOT5_DBL_MAX  4.4765466227572707e+61
#define GSL_ROOT6_DBL_MAX  2.3756689782295612e+51
#define GSL_LOG_DBL_MAX    7.0978271289338397e+02

#define GSL_FLT_EPSILON        1.1920928955078125e-07
#define GSL_SQRT_FLT_EPSILON   3.4526698300124393e-04
#define GSL_ROOT3_FLT_EPSILON  4.9215666011518501e-03
#define GSL_ROOT4_FLT_EPSILON  1.8581361171917516e-02
#define GSL_ROOT5_FLT_EPSILON  4.1234622211652937e-02
#define GSL_ROOT6_FLT_EPSILON  7.0153878019335827e-02
#define GSL_LOG_FLT_EPSILON   (-1.5942385152878742e+01)

#define GSL_FLT_MIN        1.1754943508222875e-38
#define GSL_SQRT_FLT_MIN   1.0842021724855044e-19
#define GSL_ROOT3_FLT_MIN  2.2737367544323241e-13
#define GSL_ROOT4_FLT_MIN  3.2927225399135965e-10
#define GSL_ROOT5_FLT_MIN  2.5944428542140822e-08
#define GSL_ROOT6_FLT_MIN  4.7683715820312542e-07
#define GSL_LOG_FLT_MIN   (-8.7336544750553102e+01)

#define GSL_FLT_MAX        3.4028234663852886e+38
#define GSL_SQRT_FLT_MAX   1.8446743523953730e+19
#define GSL_ROOT3_FLT_MAX  6.9814635196223242e+12
#define GSL_ROOT4_FLT_MAX  4.2949672319999986e+09
#define GSL_ROOT5_FLT_MAX  5.0859007855960041e+07
#define GSL_ROOT6_FLT_MAX  2.6422459233807749e+06
#define GSL_LOG_FLT_MAX    8.8722839052068352e+01

#define GSL_SFLT_EPSILON        4.8828125000000000e-04
#define GSL_SQRT_SFLT_EPSILON   2.2097086912079612e-02
#define GSL_ROOT3_SFLT_EPSILON  7.8745065618429588e-02
#define GSL_ROOT4_SFLT_EPSILON  1.4865088937534013e-01
#define GSL_ROOT5_SFLT_EPSILON  2.1763764082403100e-01
#define GSL_ROOT6_SFLT_EPSILON  2.8061551207734325e-01
#define GSL_LOG_SFLT_EPSILON   (-7.6246189861593985e+00)

/* !MACHINE CONSTANTS! */


/* a little internal backwards compatibility */
#define GSL_MACH_EPS  GSL_DBL_EPSILON



/* Here are the constants related to or derived from
 * machine constants. These are not to be confused with
 * the constants that define various precision levels
 * for the precision/error system.
 *
 * This information is determined at configure time
 * and is platform dependent. Edit at your own risk.
 *
 * PLATFORM: WHIZ-O-MATIC
 * CONFIG-DATE: Thu Nov 19 19:27:18 MST 1998
 * CONFIG-HOST: nnn.lanl.gov
 */

/* machine precision constants */
/* #define GSL_MACH_EPS         1.0e-15 */
#define GSL_SQRT_MACH_EPS       3.2e-08
#define GSL_ROOT3_MACH_EPS      1.0e-05
#define GSL_ROOT4_MACH_EPS      0.000178
#define GSL_ROOT5_MACH_EPS      0.00100
#define GSL_ROOT6_MACH_EPS      0.00316
#define GSL_LOG_MACH_EPS       (-34.54)


#endif /* __GSL_MACHINE_H__ */