2015-08-28 15:33:40 +00:00
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This is libquadmath.info, produced by makeinfo version 4.12 from
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/space/rguenther/gcc-5.2.0/gcc-5.2.0/libquadmath/libquadmath.texi.
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2012-03-27 23:13:14 +00:00
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2015-08-28 15:33:40 +00:00
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Copyright (C) 2010-2015 Free Software Foundation, Inc.
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2012-03-27 23:13:14 +00:00
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Permission is granted to copy, distribute and/or modify this
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document under the terms of the GNU Free Documentation License,
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Version 1.2 or any later version published by the Free Software
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Foundation; with no Invariant Sections, with the Front-Cover Texts
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being "A GNU Manual," and with the Back-Cover Texts as in (a)
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below. A copy of the license is included in the section entitled
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"GNU Free Documentation License."
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2015-08-28 15:33:40 +00:00
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(a) The FSF's Back-Cover Text is: "You have the freedom to copy
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and modify this GNU manual.
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2012-03-27 23:13:14 +00:00
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INFO-DIR-SECTION GNU Libraries
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START-INFO-DIR-ENTRY
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* libquadmath: (libquadmath). GCC Quad-Precision Math Library
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END-INFO-DIR-ENTRY
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This manual documents the GCC Quad-Precision Math Library API.
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Published by the Free Software Foundation 51 Franklin Street, Fifth
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Floor Boston, MA 02110-1301 USA
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2015-08-28 15:33:40 +00:00
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Copyright (C) 2010-2015 Free Software Foundation, Inc.
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2012-03-27 23:13:14 +00:00
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Permission is granted to copy, distribute and/or modify this
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document under the terms of the GNU Free Documentation License,
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Version 1.2 or any later version published by the Free Software
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Foundation; with no Invariant Sections, with the Front-Cover Texts
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being "A GNU Manual," and with the Back-Cover Texts as in (a)
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below. A copy of the license is included in the section entitled
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"GNU Free Documentation License."
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2015-08-28 15:33:40 +00:00
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(a) The FSF's Back-Cover Text is: "You have the freedom to copy
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and modify this GNU manual.
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2012-03-27 23:13:14 +00:00
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File: libquadmath.info, Node: Top, Next: Typedef and constants, Up: (dir)
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Introduction
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************
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This manual documents the usage of libquadmath, the GCC Quad-Precision
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Math Library Application Programming Interface (API).
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* Menu:
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* Typedef and constants:: Defined data types and constants
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* Math Library Routines:: The Libquadmath math runtime application
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programming interface.
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* I/O Library Routines:: The Libquadmath I/O runtime application
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programming interface.
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* GNU Free Documentation License::
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How you can copy and share this manual.
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* Reporting Bugs:: How to report bugs in GCC Libquadmath.
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File: libquadmath.info, Node: Typedef and constants, Next: Math Library Routines, Prev: Top, Up: Top
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1 Typedef and constants
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***********************
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The following data type has been defined via `typedef'.
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`__complex128': `__float128'-based complex number
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The following macros are defined, which give the numeric limits of
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the `__float128' data type.
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`FLT128_MAX': largest finite number
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`FLT128_MIN': smallest positive number with full precision
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`FLT128_EPSILON': difference between 1 and the next larger
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representable number
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`FLT128_DENORM_MIN': smallest positive denormalized number
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`FLT128_MANT_DIG': number of digits in the mantissa (bit precision)
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`FLT128_MIN_EXP': maximal negative exponent
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`FLT128_MAX_EXP': maximal positive exponent
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`FLT128_DIG': number of decimal digits in the mantissa
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`FLT128_MIN_10_EXP': maximal negative decimal exponent
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`FLT128_MAX_10_EXP': maximal positive decimal exponent
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The following mathematical constants of type `__float128' are
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defined.
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`M_Eq': the constant e (Euler's number)
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`M_LOG2Eq': binary logarithm of 2
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`M_LOG10Eq': common, decimal logarithm of 2
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`M_LN2q': natural logarithm of 2
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`M_LN10q': natural logarithm of 10
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`M_PIq': pi
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`M_PI_2q': pi divided by two
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`M_PI_4q': pi divided by four
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`M_1_PIq': one over pi
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`M_2_PIq': one over two pi
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`M_2_SQRTPIq': two over square root of pi
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`M_SQRT2q': square root of 2
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`M_SQRT1_2q': one over square root of 2
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File: libquadmath.info, Node: Math Library Routines, Next: I/O Library Routines, Prev: Typedef and constants, Up: Top
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2 Math Library Routines
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***********************
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The following mathematical functions are available:
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`acosq': arc cosine function
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`acoshq': inverse hyperbolic cosine function
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`asinq': arc sine function
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`asinhq': inverse hyperbolic sine function
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`atanq': arc tangent function
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`atanhq': inverse hyperbolic tangent function
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`atan2q': arc tangent function
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`cbrtq': cube root function
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`ceilq': ceiling value function
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`copysignq': copy sign of a number
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`coshq': hyperbolic cosine function
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`cosq': cosine function
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`erfq': error function
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`erfcq': complementary error function
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`expq': exponential function
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`expm1q': exponential minus 1 function
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`fabsq': absolute value function
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`fdimq': positive difference function
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`finiteq': check finiteness of value
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`floorq': floor value function
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`fmaq': fused multiply and add
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`fmaxq': determine maximum of two values
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`fminq': determine minimum of two values
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`fmodq': remainder value function
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`frexpq': extract mantissa and exponent
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`hypotq': Eucledian distance function
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`ilogbq': get exponent of the value
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`isinfq': check for infinity
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`isnanq': check for not a number
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`j0q': Bessel function of the first kind, first order
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`j1q': Bessel function of the first kind, second order
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`jnq': Bessel function of the first kind, N-th order
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`ldexpq': load exponent of the value
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`lgammaq': logarithmic gamma function
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`llrintq': round to nearest integer value
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`llroundq': round to nearest integer value away from zero
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`logq': natural logarithm function
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`log10q': base 10 logarithm function
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`log1pq': compute natural logarithm of the value plus one
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`log2q': base 2 logarithm function
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`lrintq': round to nearest integer value
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`lroundq': round to nearest integer value away from zero
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`modfq': decompose the floating-point number
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`nanq': return quiet NaN
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`nearbyintq': round to nearest integer
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`nextafterq': next representable floating-point number
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`powq': power function
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`remainderq': remainder function
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`remquoq': remainder and part of quotient
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`rintq': round-to-nearest integral value
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`roundq': round-to-nearest integral value, return `__float128'
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`scalblnq': compute exponent using `FLT_RADIX'
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`scalbnq': compute exponent using `FLT_RADIX'
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`signbitq': return sign bit
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`sincosq': calculate sine and cosine simultaneously
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`sinhq': hyperbolic sine function
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`sinq': sine function
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`sqrtq': square root function
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`tanq': tangent function
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`tanhq': hyperbolic tangent function
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`tgammaq': true gamma function
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`truncq': round to integer, towards zero
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`y0q': Bessel function of the second kind, first order
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`y1q': Bessel function of the second kind, second order
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`ynq': Bessel function of the second kind, N-th order
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`cabsq' complex absolute value function
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`cargq': calculate the argument
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`cimagq' imaginary part of complex number
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`crealq': real part of complex number
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`cacoshq': complex arc hyperbolic cosine function
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`cacosq': complex arc cosine function
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`casinhq': complex arc hyperbolic sine function
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`casinq': complex arc sine function
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`catanhq': complex arc hyperbolic tangent function
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`catanq': complex arc tangent function
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`ccosq' complex cosine function:
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`ccoshq': complex hyperbolic cosine function
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`cexpq': complex exponential function
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`cexpiq': computes the exponential function of "i" times a
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real value
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`clogq': complex natural logarithm
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`clog10q': complex base 10 logarithm
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`conjq': complex conjugate function
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`cpowq': complex power function
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`cprojq': project into Riemann Sphere
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`csinq': complex sine function
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`csinhq': complex hyperbolic sine function
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`csqrtq': complex square root
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`ctanq': complex tangent function
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`ctanhq': complex hyperbolic tangent function
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File: libquadmath.info, Node: I/O Library Routines, Next: GNU Free Documentation License, Prev: Math Library Routines, Up: Top
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3 I/O Library Routines
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**********************
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* Menu:
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* `strtoflt128': strtoflt128, Convert from string
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* `quadmath_snprintf': quadmath_snprintf, Convert to string
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File: libquadmath.info, Node: strtoflt128, Next: quadmath_snprintf, Up: I/O Library Routines
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3.1 `strtoflt128' -- Convert from string
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========================================
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The function `strtoflt128' converts a string into a `__float128' number.
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Syntax
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`__float128 strtoflt128 (const char *s, char **sp)'
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_Arguments_:
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S input string
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SP the address of the next character in the string
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The argument SP contains, if not `NULL', the address of the next
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character following the parts of the string, which have been read.
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Example
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#include <quadmath.h>
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int main ()
|
|
|
|
|
{
|
|
|
|
|
__float128 r;
|
|
|
|
|
|
|
|
|
|
r = strtoflt128 ("1.2345678", NULL);
|
|
|
|
|
|
|
|
|
|
return 0;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
File: libquadmath.info, Node: quadmath_snprintf, Prev: strtoflt128, Up: I/O Library Routines
|
|
|
|
|
|
2015-08-28 15:33:40 +00:00
|
|
|
|
3.2 `quadmath_snprintf' -- Convert to string
|
2012-03-27 23:13:14 +00:00
|
|
|
|
============================================
|
|
|
|
|
|
2015-08-28 15:33:40 +00:00
|
|
|
|
The function `quadmath_snprintf' converts a `__float128' floating-point
|
|
|
|
|
number into a string. It is a specialized alternative to `snprintf',
|
2012-03-27 23:13:14 +00:00
|
|
|
|
where the format string is restricted to a single conversion specifier
|
2015-08-28 15:33:40 +00:00
|
|
|
|
with `Q' modifier and conversion specifier `e', `E', `f', `F', `g',
|
|
|
|
|
`G', `a' or `A', with no extra characters before or after the
|
|
|
|
|
conversion specifier. The `%m$' or `*m$' style must not be used in the
|
|
|
|
|
format.
|
2012-03-27 23:13:14 +00:00
|
|
|
|
|
|
|
|
|
Syntax
|
2015-08-28 15:33:40 +00:00
|
|
|
|
`int quadmath_snprintf (char *s, size_t size, const char *format,
|
2012-03-27 23:13:14 +00:00
|
|
|
|
...)'
|
|
|
|
|
|
|
|
|
|
_Arguments_:
|
2015-08-28 15:33:40 +00:00
|
|
|
|
S output string
|
|
|
|
|
SIZE byte size of the string, including tailing NUL
|
|
|
|
|
FORMAT conversion specifier string
|
2012-03-27 23:13:14 +00:00
|
|
|
|
|
|
|
|
|
Note
|
|
|
|
|
On some targets when supported by the C library hooks are installed
|
2015-08-28 15:33:40 +00:00
|
|
|
|
for `printf' family of functions, so that `printf ("%Qe", 1.2Q);'
|
2012-03-27 23:13:14 +00:00
|
|
|
|
etc. works too.
|
|
|
|
|
|
|
|
|
|
Example
|
|
|
|
|
#include <quadmath.h>
|
|
|
|
|
#include <stdlib.h>
|
|
|
|
|
#include <stdio.h>
|
|
|
|
|
|
|
|
|
|
int main ()
|
|
|
|
|
{
|
|
|
|
|
__float128 r;
|
|
|
|
|
int prec = 20;
|
|
|
|
|
int width = 46;
|
|
|
|
|
char buf[128];
|
|
|
|
|
|
|
|
|
|
r = 2.0q;
|
|
|
|
|
r = sqrtq (r);
|
|
|
|
|
int n = quadmath_snprintf (buf, sizeof buf, "%+-#*.20Qe", width, r);
|
|
|
|
|
if ((size_t) n < sizeof buf)
|
|
|
|
|
printf ("%s\n", buf);
|
|
|
|
|
/* Prints: +1.41421356237309504880e+00 */
|
|
|
|
|
quadmath_snprintf (buf, sizeof buf, "%Qa", r);
|
|
|
|
|
if ((size_t) n < sizeof buf)
|
|
|
|
|
printf ("%s\n", buf);
|
|
|
|
|
/* Prints: 0x1.6a09e667f3bcc908b2fb1366ea96p+0 */
|
|
|
|
|
n = quadmath_snprintf (NULL, 0, "%+-#46.*Qe", prec, r);
|
|
|
|
|
if (n > -1)
|
|
|
|
|
{
|
|
|
|
|
char *str = malloc (n + 1);
|
|
|
|
|
if (str)
|
|
|
|
|
{
|
|
|
|
|
quadmath_snprintf (str, n + 1, "%+-#46.*Qe", prec, r);
|
|
|
|
|
printf ("%s\n", str);
|
|
|
|
|
/* Prints: +1.41421356237309504880e+00 */
|
|
|
|
|
}
|
|
|
|
|
free (str);
|
|
|
|
|
}
|
|
|
|
|
return 0;
|
|
|
|
|
}
|
|
|
|
|
|
2015-08-28 15:33:40 +00:00
|
|
|
|
|
2012-03-27 23:13:14 +00:00
|
|
|
|
|
|
|
|
|
File: libquadmath.info, Node: GNU Free Documentation License, Next: Reporting Bugs, Prev: I/O Library Routines, Up: Top
|
|
|
|
|
|
|
|
|
|
GNU Free Documentation License
|
|
|
|
|
******************************
|
|
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|
|
|
Version 1.3, 3 November 2008
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|
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|
|
|
|
|
|
|
Copyright (C) 2000, 2001, 2002, 2007, 2008 Free Software Foundation, Inc.
|
2015-08-28 15:33:40 +00:00
|
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|
|
`http://fsf.org/'
|
2012-03-27 23:13:14 +00:00
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Everyone is permitted to copy and distribute verbatim copies
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of this license document, but changing it is not allowed.
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0. PREAMBLE
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The purpose of this License is to make a manual, textbook, or other
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functional and useful document "free" in the sense of freedom: to
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assure everyone the effective freedom to copy and redistribute it,
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with or without modifying it, either commercially or
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noncommercially. Secondarily, this License preserves for the
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author and publisher a way to get credit for their work, while not
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being considered responsible for modifications made by others.
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This License is a kind of "copyleft", which means that derivative
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works of the document must themselves be free in the same sense.
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It complements the GNU General Public License, which is a copyleft
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license designed for free software.
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We have designed this License in order to use it for manuals for
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|
|
free software, because free software needs free documentation: a
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|
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free program should come with manuals providing the same freedoms
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|
|
that the software does. But this License is not limited to
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|
|
software manuals; it can be used for any textual work, regardless
|
2015-08-28 15:33:40 +00:00
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of subject matter or whether it is published as a printed book.
|
|
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|
|
We recommend this License principally for works whose purpose is
|
2012-03-27 23:13:14 +00:00
|
|
|
|
instruction or reference.
|
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|
|
|
|
1. APPLICABILITY AND DEFINITIONS
|
|
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|
|
|
|
|
|
|
This License applies to any manual or other work, in any medium,
|
2015-08-28 15:33:40 +00:00
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|
|
|
that contains a notice placed by the copyright holder saying it
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can be distributed under the terms of this License. Such a notice
|
2012-03-27 23:13:14 +00:00
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|
grants a world-wide, royalty-free license, unlimited in duration,
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to use that work under the conditions stated herein. The
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|
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"Document", below, refers to any such manual or work. Any member
|
2015-08-28 15:33:40 +00:00
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of the public is a licensee, and is addressed as "you". You
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accept the license if you copy, modify or distribute the work in a
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way requiring permission under copyright law.
|
2012-03-27 23:13:14 +00:00
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A "Modified Version" of the Document means any work containing the
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Document or a portion of it, either copied verbatim, or with
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modifications and/or translated into another language.
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|
A "Secondary Section" is a named appendix or a front-matter section
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of the Document that deals exclusively with the relationship of the
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publishers or authors of the Document to the Document's overall
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subject (or to related matters) and contains nothing that could
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|
|
fall directly within that overall subject. (Thus, if the Document
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is in part a textbook of mathematics, a Secondary Section may not
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explain any mathematics.) The relationship could be a matter of
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historical connection with the subject or with related matters, or
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of legal, commercial, philosophical, ethical or political position
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regarding them.
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|
|
The "Invariant Sections" are certain Secondary Sections whose
|
2015-08-28 15:33:40 +00:00
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|
|
titles are designated, as being those of Invariant Sections, in
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the notice that says that the Document is released under this
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License. If a section does not fit the above definition of
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Secondary then it is not allowed to be designated as Invariant.
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The Document may contain zero Invariant Sections. If the Document
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does not identify any Invariant Sections then there are none.
|
2012-03-27 23:13:14 +00:00
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|
|
The "Cover Texts" are certain short passages of text that are
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|
|
listed, as Front-Cover Texts or Back-Cover Texts, in the notice
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|
that says that the Document is released under this License. A
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Front-Cover Text may be at most 5 words, and a Back-Cover Text may
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be at most 25 words.
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A "Transparent" copy of the Document means a machine-readable copy,
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represented in a format whose specification is available to the
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general public, that is suitable for revising the document
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2015-08-28 15:33:40 +00:00
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straightforwardly with generic text editors or (for images
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composed of pixels) generic paint programs or (for drawings) some
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|
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widely available drawing editor, and that is suitable for input to
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text formatters or for automatic translation to a variety of
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formats suitable for input to text formatters. A copy made in an
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otherwise Transparent file format whose markup, or absence of
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|
|
markup, has been arranged to thwart or discourage subsequent
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|
|
modification by readers is not Transparent. An image format is
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not Transparent if used for any substantial amount of text. A
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copy that is not "Transparent" is called "Opaque".
|
2012-03-27 23:13:14 +00:00
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Examples of suitable formats for Transparent copies include plain
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ASCII without markup, Texinfo input format, LaTeX input format,
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2015-08-28 15:33:40 +00:00
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SGML or XML using a publicly available DTD, and
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standard-conforming simple HTML, PostScript or PDF designed for
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human modification. Examples of transparent image formats include
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PNG, XCF and JPG. Opaque formats include proprietary formats that
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can be read and edited only by proprietary word processors, SGML or
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XML for which the DTD and/or processing tools are not generally
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available, and the machine-generated HTML, PostScript or PDF
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produced by some word processors for output purposes only.
|
2012-03-27 23:13:14 +00:00
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|
The "Title Page" means, for a printed book, the title page itself,
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plus such following pages as are needed to hold, legibly, the
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material this License requires to appear in the title page. For
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works in formats which do not have any title page as such, "Title
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Page" means the text near the most prominent appearance of the
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work's title, preceding the beginning of the body of the text.
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The "publisher" means any person or entity that distributes copies
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of the Document to the public.
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A section "Entitled XYZ" means a named subunit of the Document
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whose title either is precisely XYZ or contains XYZ in parentheses
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following text that translates XYZ in another language. (Here XYZ
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stands for a specific section name mentioned below, such as
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"Acknowledgements", "Dedications", "Endorsements", or "History".)
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To "Preserve the Title" of such a section when you modify the
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Document means that it remains a section "Entitled XYZ" according
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to this definition.
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The Document may include Warranty Disclaimers next to the notice
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Warranty Disclaimers are considered to be included by reference in
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this License, but only as regards disclaiming warranties: any other
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implication that these Warranty Disclaimers may have is void and
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has no effect on the meaning of this License.
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2. VERBATIM COPYING
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You may copy and distribute the Document in any medium, either
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commercially or noncommercially, provided that this License, the
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copyright notices, and the license notice saying this License
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applies to the Document are reproduced in all copies, and that you
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add no other conditions whatsoever to those of this License. You
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may not use technical measures to obstruct or control the reading
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or further copying of the copies you make or distribute. However,
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you may accept compensation in exchange for copies. If you
|
2015-08-28 15:33:40 +00:00
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distribute a large enough number of copies you must also follow
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the conditions in section 3.
|
2012-03-27 23:13:14 +00:00
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You may also lend copies, under the same conditions stated above,
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and you may publicly display copies.
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3. COPYING IN QUANTITY
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If you publish printed copies (or copies in media that commonly
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have printed covers) of the Document, numbering more than 100, and
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the Document's license notice requires Cover Texts, you must
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enclose the copies in covers that carry, clearly and legibly, all
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these Cover Texts: Front-Cover Texts on the front cover, and
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|
|
Back-Cover Texts on the back cover. Both covers must also clearly
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|
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and legibly identify you as the publisher of these copies. The
|
2015-08-28 15:33:40 +00:00
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front cover must present the full title with all words of the
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title equally prominent and visible. You may add other material
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on the covers in addition. Copying with changes limited to the
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covers, as long as they preserve the title of the Document and
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|
satisfy these conditions, can be treated as verbatim copying in
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|
other respects.
|
2012-03-27 23:13:14 +00:00
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|
|
If the required texts for either cover are too voluminous to fit
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|
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|
|
legibly, you should put the first ones listed (as many as fit
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|
|
reasonably) on the actual cover, and continue the rest onto
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|
|
adjacent pages.
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|
If you publish or distribute Opaque copies of the Document
|
2015-08-28 15:33:40 +00:00
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|
|
numbering more than 100, you must either include a
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|
|
machine-readable Transparent copy along with each Opaque copy, or
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|
|
state in or with each Opaque copy a computer-network location from
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which the general network-using public has access to download
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using public-standard network protocols a complete Transparent
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copy of the Document, free of added material. If you use the
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|
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latter option, you must take reasonably prudent steps, when you
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|
begin distribution of Opaque copies in quantity, to ensure that
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|
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|
|
this Transparent copy will remain thus accessible at the stated
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|
|
location until at least one year after the last time you
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|
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|
|
distribute an Opaque copy (directly or through your agents or
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|
|
retailers) of that edition to the public.
|
2012-03-27 23:13:14 +00:00
|
|
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|
|
|
|
|
|
It is requested, but not required, that you contact the authors of
|
2015-08-28 15:33:40 +00:00
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|
|
the Document well before redistributing any large number of
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|
|
copies, to give them a chance to provide you with an updated
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|
|
|
|
version of the Document.
|
2012-03-27 23:13:14 +00:00
|
|
|
|
|
|
|
|
|
4. MODIFICATIONS
|
|
|
|
|
|
|
|
|
|
You may copy and distribute a Modified Version of the Document
|
|
|
|
|
under the conditions of sections 2 and 3 above, provided that you
|
2015-08-28 15:33:40 +00:00
|
|
|
|
release the Modified Version under precisely this License, with
|
|
|
|
|
the Modified Version filling the role of the Document, thus
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|
|
|
|
licensing distribution and modification of the Modified Version to
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|
|
|
|
whoever possesses a copy of it. In addition, you must do these
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|
|
|
|
things in the Modified Version:
|
2012-03-27 23:13:14 +00:00
|
|
|
|
|
|
|
|
|
A. Use in the Title Page (and on the covers, if any) a title
|
2015-08-28 15:33:40 +00:00
|
|
|
|
distinct from that of the Document, and from those of
|
|
|
|
|
previous versions (which should, if there were any, be listed
|
|
|
|
|
in the History section of the Document). You may use the
|
|
|
|
|
same title as a previous version if the original publisher of
|
|
|
|
|
that version gives permission.
|
2012-03-27 23:13:14 +00:00
|
|
|
|
|
|
|
|
|
B. List on the Title Page, as authors, one or more persons or
|
|
|
|
|
entities responsible for authorship of the modifications in
|
|
|
|
|
the Modified Version, together with at least five of the
|
|
|
|
|
principal authors of the Document (all of its principal
|
|
|
|
|
authors, if it has fewer than five), unless they release you
|
|
|
|
|
from this requirement.
|
|
|
|
|
|
|
|
|
|
C. State on the Title page the name of the publisher of the
|
|
|
|
|
Modified Version, as the publisher.
|
|
|
|
|
|
|
|
|
|
D. Preserve all the copyright notices of the Document.
|
|
|
|
|
|
|
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|
|
E. Add an appropriate copyright notice for your modifications
|
|
|
|
|
adjacent to the other copyright notices.
|
|
|
|
|
|
|
|
|
|
F. Include, immediately after the copyright notices, a license
|
|
|
|
|
notice giving the public permission to use the Modified
|
|
|
|
|
Version under the terms of this License, in the form shown in
|
|
|
|
|
the Addendum below.
|
|
|
|
|
|
|
|
|
|
G. Preserve in that license notice the full lists of Invariant
|
|
|
|
|
Sections and required Cover Texts given in the Document's
|
|
|
|
|
license notice.
|
|
|
|
|
|
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|
|
H. Include an unaltered copy of this License.
|
|
|
|
|
|
|
|
|
|
I. Preserve the section Entitled "History", Preserve its Title,
|
|
|
|
|
and add to it an item stating at least the title, year, new
|
2015-08-28 15:33:40 +00:00
|
|
|
|
authors, and publisher of the Modified Version as given on
|
|
|
|
|
the Title Page. If there is no section Entitled "History" in
|
|
|
|
|
the Document, create one stating the title, year, authors,
|
|
|
|
|
and publisher of the Document as given on its Title Page,
|
|
|
|
|
then add an item describing the Modified Version as stated in
|
|
|
|
|
the previous sentence.
|
2012-03-27 23:13:14 +00:00
|
|
|
|
|
|
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|
|
J. Preserve the network location, if any, given in the Document
|
|
|
|
|
for public access to a Transparent copy of the Document, and
|
|
|
|
|
likewise the network locations given in the Document for
|
2015-08-28 15:33:40 +00:00
|
|
|
|
previous versions it was based on. These may be placed in
|
|
|
|
|
the "History" section. You may omit a network location for a
|
|
|
|
|
work that was published at least four years before the
|
|
|
|
|
Document itself, or if the original publisher of the version
|
|
|
|
|
it refers to gives permission.
|
2012-03-27 23:13:14 +00:00
|
|
|
|
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|
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|
|
K. For any section Entitled "Acknowledgements" or "Dedications",
|
2015-08-28 15:33:40 +00:00
|
|
|
|
Preserve the Title of the section, and preserve in the
|
|
|
|
|
section all the substance and tone of each of the contributor
|
2012-03-27 23:13:14 +00:00
|
|
|
|
acknowledgements and/or dedications given therein.
|
|
|
|
|
|
2015-08-28 15:33:40 +00:00
|
|
|
|
L. Preserve all the Invariant Sections of the Document,
|
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|
|
|
unaltered in their text and in their titles. Section numbers
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|
|
|
|
or the equivalent are not considered part of the section
|
|
|
|
|
titles.
|
2012-03-27 23:13:14 +00:00
|
|
|
|
|
|
|
|
|
M. Delete any section Entitled "Endorsements". Such a section
|
|
|
|
|
may not be included in the Modified Version.
|
|
|
|
|
|
|
|
|
|
N. Do not retitle any existing section to be Entitled
|
|
|
|
|
"Endorsements" or to conflict in title with any Invariant
|
|
|
|
|
Section.
|
|
|
|
|
|
|
|
|
|
O. Preserve any Warranty Disclaimers.
|
|
|
|
|
|
|
|
|
|
If the Modified Version includes new front-matter sections or
|
|
|
|
|
appendices that qualify as Secondary Sections and contain no
|
2015-08-28 15:33:40 +00:00
|
|
|
|
material copied from the Document, you may at your option
|
|
|
|
|
designate some or all of these sections as invariant. To do this,
|
|
|
|
|
add their titles to the list of Invariant Sections in the Modified
|
|
|
|
|
Version's license notice. These titles must be distinct from any
|
|
|
|
|
other section titles.
|
2012-03-27 23:13:14 +00:00
|
|
|
|
|
|
|
|
|
You may add a section Entitled "Endorsements", provided it contains
|
|
|
|
|
nothing but endorsements of your Modified Version by various
|
|
|
|
|
parties--for example, statements of peer review or that the text
|
|
|
|
|
has been approved by an organization as the authoritative
|
|
|
|
|
definition of a standard.
|
|
|
|
|
|
|
|
|
|
You may add a passage of up to five words as a Front-Cover Text,
|
2015-08-28 15:33:40 +00:00
|
|
|
|
and a passage of up to 25 words as a Back-Cover Text, to the end
|
|
|
|
|
of the list of Cover Texts in the Modified Version. Only one
|
|
|
|
|
passage of Front-Cover Text and one of Back-Cover Text may be
|
|
|
|
|
added by (or through arrangements made by) any one entity. If the
|
|
|
|
|
Document already includes a cover text for the same cover,
|
|
|
|
|
previously added by you or by arrangement made by the same entity
|
|
|
|
|
you are acting on behalf of, you may not add another; but you may
|
|
|
|
|
replace the old one, on explicit permission from the previous
|
|
|
|
|
publisher that added the old one.
|
2012-03-27 23:13:14 +00:00
|
|
|
|
|
|
|
|
|
The author(s) and publisher(s) of the Document do not by this
|
|
|
|
|
License give permission to use their names for publicity for or to
|
|
|
|
|
assert or imply endorsement of any Modified Version.
|
|
|
|
|
|
|
|
|
|
5. COMBINING DOCUMENTS
|
|
|
|
|
|
|
|
|
|
You may combine the Document with other documents released under
|
|
|
|
|
this License, under the terms defined in section 4 above for
|
2015-08-28 15:33:40 +00:00
|
|
|
|
modified versions, provided that you include in the combination
|
|
|
|
|
all of the Invariant Sections of all of the original documents,
|
2012-03-27 23:13:14 +00:00
|
|
|
|
unmodified, and list them all as Invariant Sections of your
|
|
|
|
|
combined work in its license notice, and that you preserve all
|
|
|
|
|
their Warranty Disclaimers.
|
|
|
|
|
|
|
|
|
|
The combined work need only contain one copy of this License, and
|
|
|
|
|
multiple identical Invariant Sections may be replaced with a single
|
|
|
|
|
copy. If there are multiple Invariant Sections with the same name
|
|
|
|
|
but different contents, make the title of each such section unique
|
|
|
|
|
by adding at the end of it, in parentheses, the name of the
|
|
|
|
|
original author or publisher of that section if known, or else a
|
|
|
|
|
unique number. Make the same adjustment to the section titles in
|
|
|
|
|
the list of Invariant Sections in the license notice of the
|
|
|
|
|
combined work.
|
|
|
|
|
|
|
|
|
|
In the combination, you must combine any sections Entitled
|
|
|
|
|
"History" in the various original documents, forming one section
|
|
|
|
|
Entitled "History"; likewise combine any sections Entitled
|
|
|
|
|
"Acknowledgements", and any sections Entitled "Dedications". You
|
|
|
|
|
must delete all sections Entitled "Endorsements."
|
|
|
|
|
|
|
|
|
|
6. COLLECTIONS OF DOCUMENTS
|
|
|
|
|
|
|
|
|
|
You may make a collection consisting of the Document and other
|
|
|
|
|
documents released under this License, and replace the individual
|
|
|
|
|
copies of this License in the various documents with a single copy
|
|
|
|
|
that is included in the collection, provided that you follow the
|
2015-08-28 15:33:40 +00:00
|
|
|
|
rules of this License for verbatim copying of each of the
|
|
|
|
|
documents in all other respects.
|
2012-03-27 23:13:14 +00:00
|
|
|
|
|
|
|
|
|
You may extract a single document from such a collection, and
|
|
|
|
|
distribute it individually under this License, provided you insert
|
2015-08-28 15:33:40 +00:00
|
|
|
|
a copy of this License into the extracted document, and follow
|
|
|
|
|
this License in all other respects regarding verbatim copying of
|
|
|
|
|
that document.
|
2012-03-27 23:13:14 +00:00
|
|
|
|
|
|
|
|
|
7. AGGREGATION WITH INDEPENDENT WORKS
|
|
|
|
|
|
|
|
|
|
A compilation of the Document or its derivatives with other
|
2015-08-28 15:33:40 +00:00
|
|
|
|
separate and independent documents or works, in or on a volume of
|
|
|
|
|
a storage or distribution medium, is called an "aggregate" if the
|
2012-03-27 23:13:14 +00:00
|
|
|
|
copyright resulting from the compilation is not used to limit the
|
|
|
|
|
legal rights of the compilation's users beyond what the individual
|
|
|
|
|
works permit. When the Document is included in an aggregate, this
|
|
|
|
|
License does not apply to the other works in the aggregate which
|
|
|
|
|
are not themselves derivative works of the Document.
|
|
|
|
|
|
|
|
|
|
If the Cover Text requirement of section 3 is applicable to these
|
|
|
|
|
copies of the Document, then if the Document is less than one half
|
|
|
|
|
of the entire aggregate, the Document's Cover Texts may be placed
|
|
|
|
|
on covers that bracket the Document within the aggregate, or the
|
|
|
|
|
electronic equivalent of covers if the Document is in electronic
|
|
|
|
|
form. Otherwise they must appear on printed covers that bracket
|
|
|
|
|
the whole aggregate.
|
|
|
|
|
|
|
|
|
|
8. TRANSLATION
|
|
|
|
|
|
|
|
|
|
Translation is considered a kind of modification, so you may
|
|
|
|
|
distribute translations of the Document under the terms of section
|
|
|
|
|
4. Replacing Invariant Sections with translations requires special
|
|
|
|
|
permission from their copyright holders, but you may include
|
|
|
|
|
translations of some or all Invariant Sections in addition to the
|
|
|
|
|
original versions of these Invariant Sections. You may include a
|
|
|
|
|
translation of this License, and all the license notices in the
|
|
|
|
|
Document, and any Warranty Disclaimers, provided that you also
|
|
|
|
|
include the original English version of this License and the
|
|
|
|
|
original versions of those notices and disclaimers. In case of a
|
|
|
|
|
disagreement between the translation and the original version of
|
|
|
|
|
this License or a notice or disclaimer, the original version will
|
|
|
|
|
prevail.
|
|
|
|
|
|
|
|
|
|
If a section in the Document is Entitled "Acknowledgements",
|
|
|
|
|
"Dedications", or "History", the requirement (section 4) to
|
|
|
|
|
Preserve its Title (section 1) will typically require changing the
|
|
|
|
|
actual title.
|
|
|
|
|
|
|
|
|
|
9. TERMINATION
|
|
|
|
|
|
|
|
|
|
You may not copy, modify, sublicense, or distribute the Document
|
|
|
|
|
except as expressly provided under this License. Any attempt
|
|
|
|
|
otherwise to copy, modify, sublicense, or distribute it is void,
|
|
|
|
|
and will automatically terminate your rights under this License.
|
|
|
|
|
|
|
|
|
|
However, if you cease all violation of this License, then your
|
|
|
|
|
license from a particular copyright holder is reinstated (a)
|
2015-08-28 15:33:40 +00:00
|
|
|
|
provisionally, unless and until the copyright holder explicitly
|
|
|
|
|
and finally terminates your license, and (b) permanently, if the
|
2012-03-27 23:13:14 +00:00
|
|
|
|
copyright holder fails to notify you of the violation by some
|
|
|
|
|
reasonable means prior to 60 days after the cessation.
|
|
|
|
|
|
|
|
|
|
Moreover, your license from a particular copyright holder is
|
|
|
|
|
reinstated permanently if the copyright holder notifies you of the
|
|
|
|
|
violation by some reasonable means, this is the first time you have
|
|
|
|
|
received notice of violation of this License (for any work) from
|
|
|
|
|
that copyright holder, and you cure the violation prior to 30 days
|
|
|
|
|
after your receipt of the notice.
|
|
|
|
|
|
|
|
|
|
Termination of your rights under this section does not terminate
|
2015-08-28 15:33:40 +00:00
|
|
|
|
the licenses of parties who have received copies or rights from
|
|
|
|
|
you under this License. If your rights have been terminated and
|
|
|
|
|
not permanently reinstated, receipt of a copy of some or all of
|
|
|
|
|
the same material does not give you any rights to use it.
|
2012-03-27 23:13:14 +00:00
|
|
|
|
|
2015-08-28 15:33:40 +00:00
|
|
|
|
10. FUTURE REVISIONS OF THIS LICENSE
|
2012-03-27 23:13:14 +00:00
|
|
|
|
|
|
|
|
|
The Free Software Foundation may publish new, revised versions of
|
|
|
|
|
the GNU Free Documentation License from time to time. Such new
|
|
|
|
|
versions will be similar in spirit to the present version, but may
|
|
|
|
|
differ in detail to address new problems or concerns. See
|
2015-08-28 15:33:40 +00:00
|
|
|
|
`http://www.gnu.org/copyleft/'.
|
2012-03-27 23:13:14 +00:00
|
|
|
|
|
|
|
|
|
Each version of the License is given a distinguishing version
|
|
|
|
|
number. If the Document specifies that a particular numbered
|
|
|
|
|
version of this License "or any later version" applies to it, you
|
|
|
|
|
have the option of following the terms and conditions either of
|
|
|
|
|
that specified version or of any later version that has been
|
2015-08-28 15:33:40 +00:00
|
|
|
|
published (not as a draft) by the Free Software Foundation. If
|
|
|
|
|
the Document does not specify a version number of this License,
|
|
|
|
|
you may choose any version ever published (not as a draft) by the
|
|
|
|
|
Free Software Foundation. If the Document specifies that a proxy
|
|
|
|
|
can decide which future versions of this License can be used, that
|
2012-03-27 23:13:14 +00:00
|
|
|
|
proxy's public statement of acceptance of a version permanently
|
|
|
|
|
authorizes you to choose that version for the Document.
|
|
|
|
|
|
2015-08-28 15:33:40 +00:00
|
|
|
|
11. RELICENSING
|
2012-03-27 23:13:14 +00:00
|
|
|
|
|
|
|
|
|
"Massive Multiauthor Collaboration Site" (or "MMC Site") means any
|
|
|
|
|
World Wide Web server that publishes copyrightable works and also
|
|
|
|
|
provides prominent facilities for anybody to edit those works. A
|
|
|
|
|
public wiki that anybody can edit is an example of such a server.
|
|
|
|
|
A "Massive Multiauthor Collaboration" (or "MMC") contained in the
|
|
|
|
|
site means any set of copyrightable works thus published on the MMC
|
|
|
|
|
site.
|
|
|
|
|
|
|
|
|
|
"CC-BY-SA" means the Creative Commons Attribution-Share Alike 3.0
|
|
|
|
|
license published by Creative Commons Corporation, a not-for-profit
|
|
|
|
|
corporation with a principal place of business in San Francisco,
|
|
|
|
|
California, as well as future copyleft versions of that license
|
|
|
|
|
published by that same organization.
|
|
|
|
|
|
|
|
|
|
"Incorporate" means to publish or republish a Document, in whole or
|
|
|
|
|
in part, as part of another Document.
|
|
|
|
|
|
|
|
|
|
An MMC is "eligible for relicensing" if it is licensed under this
|
|
|
|
|
License, and if all works that were first published under this
|
|
|
|
|
License somewhere other than this MMC, and subsequently
|
|
|
|
|
incorporated in whole or in part into the MMC, (1) had no cover
|
|
|
|
|
texts or invariant sections, and (2) were thus incorporated prior
|
|
|
|
|
to November 1, 2008.
|
|
|
|
|
|
|
|
|
|
The operator of an MMC Site may republish an MMC contained in the
|
|
|
|
|
site under CC-BY-SA on the same site at any time before August 1,
|
|
|
|
|
2009, provided the MMC is eligible for relicensing.
|
|
|
|
|
|
2015-08-28 15:33:40 +00:00
|
|
|
|
|
2012-03-27 23:13:14 +00:00
|
|
|
|
ADDENDUM: How to use this License for your documents
|
|
|
|
|
====================================================
|
|
|
|
|
|
|
|
|
|
To use this License in a document you have written, include a copy of
|
|
|
|
|
the License in the document and put the following copyright and license
|
|
|
|
|
notices just after the title page:
|
|
|
|
|
|
|
|
|
|
Copyright (C) YEAR YOUR NAME.
|
|
|
|
|
Permission is granted to copy, distribute and/or modify this document
|
|
|
|
|
under the terms of the GNU Free Documentation License, Version 1.3
|
|
|
|
|
or any later version published by the Free Software Foundation;
|
|
|
|
|
with no Invariant Sections, no Front-Cover Texts, and no Back-Cover
|
|
|
|
|
Texts. A copy of the license is included in the section entitled ``GNU
|
|
|
|
|
Free Documentation License''.
|
|
|
|
|
|
|
|
|
|
If you have Invariant Sections, Front-Cover Texts and Back-Cover
|
2015-08-28 15:33:40 +00:00
|
|
|
|
Texts, replace the "with...Texts." line with this:
|
2012-03-27 23:13:14 +00:00
|
|
|
|
|
|
|
|
|
with the Invariant Sections being LIST THEIR TITLES, with
|
|
|
|
|
the Front-Cover Texts being LIST, and with the Back-Cover Texts
|
|
|
|
|
being LIST.
|
|
|
|
|
|
|
|
|
|
If you have Invariant Sections without Cover Texts, or some other
|
|
|
|
|
combination of the three, merge those two alternatives to suit the
|
|
|
|
|
situation.
|
|
|
|
|
|
|
|
|
|
If your document contains nontrivial examples of program code, we
|
2015-08-28 15:33:40 +00:00
|
|
|
|
recommend releasing these examples in parallel under your choice of
|
|
|
|
|
free software license, such as the GNU General Public License, to
|
|
|
|
|
permit their use in free software.
|
2012-03-27 23:13:14 +00:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
File: libquadmath.info, Node: Reporting Bugs, Prev: GNU Free Documentation License, Up: Top
|
|
|
|
|
|
|
|
|
|
4 Reporting Bugs
|
|
|
|
|
****************
|
|
|
|
|
|
|
|
|
|
Bugs in the GCC Quad-Precision Math Library implementation should be
|
2015-08-28 15:33:40 +00:00
|
|
|
|
reported via `http://gcc.gnu.org/bugs.html'.
|
2012-03-27 23:13:14 +00:00
|
|
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|
|
Tag Table:
|
2015-08-28 15:33:40 +00:00
|
|
|
|
Node: Top1684
|
|
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|
|
Node: Typedef and constants2418
|
|
|
|
|
Node: Math Library Routines3858
|
|
|
|
|
Node: I/O Library Routines7662
|
|
|
|
|
Node: strtoflt1287987
|
|
|
|
|
Node: quadmath_snprintf8745
|
|
|
|
|
Node: GNU Free Documentation License10953
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Node: Reporting Bugs36119
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2012-03-27 23:13:14 +00:00
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End Tag Table
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