2003-10-20 Bob Wilson <bob.wilson@acm.org>
* libc/locale/locale.c: Use double quotes in code. * libc/locale/locale.tex: Likewise. * libc/libc.texinfo: Hyphenate "floating-point". * libc/machine/necv70/necv70.tex: Likewise. * libc/stdio/sprintf.c: Likewise. * libc/stdio/sscanf.c: Likewise. * libc/stdlib/atof.c: Likewise. * libc/stdlib/ldtoa.c: Fix comment typo. * libc/stdlib/div.c: Use @ifnottex instead of @ifinfo. * libc/stdlib/ldiv.c: Likewise. * libm/common/s_expm1.c: Likewise. * libm/common/s_ilogb.c: Hyphenate "floating-point". Use "nonzero". * libm/common/s_infinity: Hyphenate "double- and single-precision". * libm/common/s_nan.c: Likewise. Also correct the FUNCTION summary. * libm/common/s_nextafter.c: Fix typo. Hyphenate "double-precision" and "floating-point". * libm/common/s_scalbn.c: Correct the FUNCTION summary. * libm/math/e_pow.c: Fix comment typo. * libm/math/math.tex: Hyphenate "single-precision" and "floating-point". * libm/math/s_asinh.c: Use @ifnottex instead of @ifinfo. * libm/math/s_atan.c: Likewise. * libm/math/s_frexp.c: Likewise. Also use "nonzero". * libm/math/s_isnan.c: Hyphenate "single-precision" and "floating-point". Use "nonzero". * libm/math/s_ldexp.c: Use @ifnottex instead of @ifinfo. * libm/math/w_acos.c: Likewise. * libm/math/w_acosh.c: Likewise. * libm/math/w_asin.c: Likewise. * libm/math/w_atan2.c: Likewise. * libm/math/w_atanh.c: Likewise. * libm/math/w_cosh.c: Likewise. * libm/math/w_exp.c: Likewise. * libm/math/w_exp2.c: Likewise. Add missing @end and missing @tex version of 2^x in the description. * libm/math/w_fmod.c: Use @ifnottex instead of @ifinfo. * libm/math/w_gamma.c: Likewise. * libm/math/w_hypot.c: Likewise. * libm/math/w_j0.c: Likewise. * libm/math/w_sinh.c: Likewise. * libm/math/w_pow.c: Replace "exp1.0nt" with "exponent". * libm/mathfp/mathfp.tex: Hyphenate "single-precision" and "floating-point". * libm/mathfp/e_acosh.c: Use @ifnottex instead of @ifinfo. * libm/mathfp/e_atanh.c: Likewise. * libm/mathfp/e_hypot.c: Likewise. * libm/mathfp/er_lgamma.c: Likewise. * libm/mathfp/s_acos.c: Likewise. * libm/mathfp/s_asine.c: Likewise. * libm/mathfp/s_asinh.c: Likewise. * libm/mathfp/s_atan.c: Likewise. * libm/mathfp/s_atan2.c: Likewise. * libm/mathfp/s_atangent.c: Likewise. * libm/mathfp/s_cosh.c: Likewise. * libm/mathfp/s_exp.c: Likewise. * libm/mathfp/s_fmod.c: Likewise. * libm/mathfp/s_frexp.c: Likewise. Also use "nonzero". * libm/mathfp/s_isnan.c: Hyphenate "single-precision" and "floating-point". Use "nonzero". * libm/math/s_pow.c: Replace "exp1.0nt" with "exponent". * libm/mathfp/s_ldexp.c: Use @ifnottex instead of @ifinfo. * libm/mathfp/s_sineh.c: Likewise. * libm/mathfp/w_jn.c: Likewise.
This commit is contained in:
Jeff Johnston
parent
d775e6b7ae
commit
76a7df5256
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@ -1,3 +1,68 @@
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2003-10-20 Bob Wilson <bob.wilson@acm.org>
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* libc/locale/locale.c: Use double quotes in code.
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* libc/locale/locale.tex: Likewise.
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* libc/libc.texinfo: Hyphenate "floating-point".
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* libc/machine/necv70/necv70.tex: Likewise.
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* libc/stdio/sprintf.c: Likewise.
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* libc/stdio/sscanf.c: Likewise.
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* libc/stdlib/atof.c: Likewise.
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* libc/stdlib/ldtoa.c: Fix comment typo.
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* libc/stdlib/div.c: Use @ifnottex instead of @ifinfo.
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* libc/stdlib/ldiv.c: Likewise.
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* libm/common/s_expm1.c: Likewise.
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* libm/common/s_ilogb.c: Hyphenate "floating-point". Use "nonzero".
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* libm/common/s_infinity: Hyphenate "double- and single-precision".
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* libm/common/s_nan.c: Likewise. Also correct the FUNCTION summary.
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* libm/common/s_nextafter.c: Fix typo. Hyphenate "double-precision"
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and "floating-point".
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* libm/common/s_scalbn.c: Correct the FUNCTION summary.
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* libm/math/e_pow.c: Fix comment typo.
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* libm/math/math.tex: Hyphenate "single-precision" and "floating-point".
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* libm/math/s_asinh.c: Use @ifnottex instead of @ifinfo.
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* libm/math/s_atan.c: Likewise.
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* libm/math/s_frexp.c: Likewise. Also use "nonzero".
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* libm/math/s_isnan.c: Hyphenate "single-precision" and
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"floating-point". Use "nonzero".
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* libm/math/s_ldexp.c: Use @ifnottex instead of @ifinfo.
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* libm/math/w_acos.c: Likewise.
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* libm/math/w_acosh.c: Likewise.
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* libm/math/w_asin.c: Likewise.
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* libm/math/w_atan2.c: Likewise.
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* libm/math/w_atanh.c: Likewise.
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* libm/math/w_cosh.c: Likewise.
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* libm/math/w_exp.c: Likewise.
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* libm/math/w_exp2.c: Likewise. Add missing @end and missing @tex
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version of 2^x in the description.
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* libm/math/w_fmod.c: Use @ifnottex instead of @ifinfo.
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* libm/math/w_gamma.c: Likewise.
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* libm/math/w_hypot.c: Likewise.
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* libm/math/w_j0.c: Likewise.
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* libm/math/w_sinh.c: Likewise.
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* libm/math/w_pow.c: Replace "exp1.0nt" with "exponent".
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* libm/mathfp/mathfp.tex: Hyphenate "single-precision" and
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"floating-point".
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* libm/mathfp/e_acosh.c: Use @ifnottex instead of @ifinfo.
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* libm/mathfp/e_atanh.c: Likewise.
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* libm/mathfp/e_hypot.c: Likewise.
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* libm/mathfp/er_lgamma.c: Likewise.
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* libm/mathfp/s_acos.c: Likewise.
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* libm/mathfp/s_asine.c: Likewise.
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* libm/mathfp/s_asinh.c: Likewise.
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* libm/mathfp/s_atan.c: Likewise.
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* libm/mathfp/s_atan2.c: Likewise.
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* libm/mathfp/s_atangent.c: Likewise.
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* libm/mathfp/s_cosh.c: Likewise.
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* libm/mathfp/s_exp.c: Likewise.
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* libm/mathfp/s_fmod.c: Likewise.
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* libm/mathfp/s_frexp.c: Likewise. Also use "nonzero".
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* libm/mathfp/s_isnan.c: Hyphenate "single-precision" and
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"floating-point". Use "nonzero".
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* libm/math/s_pow.c: Replace "exp1.0nt" with "exponent".
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* libm/mathfp/s_ldexp.c: Use @ifnottex instead of @ifinfo.
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* libm/mathfp/s_sineh.c: Likewise.
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* libm/mathfp/w_jn.c: Likewise.
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2003-10-15 Alexandre Oliva <aoliva@redhat.com>
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* Makefile.am: Add $(MAKE) comments to multido and multiclean
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@ -36,7 +36,7 @@ University of California, Berkeley and its contributors.
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libc includes software developed by Martin Jackson, Graham Haley
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and Steve Chamberlain of Tadpole Technology and released to Cygnus.
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libc uses floating point converstion software developed at AT&T, which
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libc uses floating-point conversion software developed at AT&T, which
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includes this copyright information:
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The author of this software is David M. Gay.
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@ -106,7 +106,7 @@ University of California, Berkeley and its contributors.
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@file{libc} includes software developed by Martin Jackson, Graham Haley
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and Steve Chamberlain of Tadpole Technology and released to Cygnus.
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@file{libc} uses floating point conversion software developed at AT&T,
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@file{libc} uses floating-point conversion software developed at AT&T,
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which includes this copyright information:
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@cartouche
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@ -42,17 +42,17 @@ execution environment for international collating and formatting
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information; <<localeconv>> reports on the settings of the current
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locale.
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This is a minimal implementation, supporting only the required <<``C''>>
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This is a minimal implementation, supporting only the required <<"C">>
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value for <[locale]>; strings representing other locales are not
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honored unless MB_CAPABLE is defined in which case three new
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extensions are allowed for LC_CTYPE or LC_MESSAGES only: <<''C-JIS''>>,
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<<''C-EUCJP''>>, <<''C-SJIS''>>, or <<''C-ISO-8859-1''>>. (<<``''>> is
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extensions are allowed for LC_CTYPE or LC_MESSAGES only: <<"C-JIS">>,
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<<"C-EUCJP">>, <<"C-SJIS">>, or <<"C-ISO-8859-1">>. (<<"">> is
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also accepted; it represents the default locale
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for an implementation, here equivalent to <<``C''>>.)
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for an implementation, here equivalent to <<"C">>.)
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If you use <<NULL>> as the <[locale]> argument, <<setlocale>> returns
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a pointer to the string representing the current locale (always
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<<``C''>> in this implementation). The acceptable values for
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<<"C">> in this implementation). The acceptable values for
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<[category]> are defined in `<<locale.h>>' as macros beginning with
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<<"LC_">>, but this implementation does not check the values you pass
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in the <[category]> argument.
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@ -67,7 +67,7 @@ in effect.
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RETURNS
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<<setlocale>> returns either a pointer to a string naming the locale
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currently in effect (always <<``C''>> for this implementation, or, if
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currently in effect (always <<"C">> for this implementation, or, if
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the locale request cannot be honored, <<NULL>>.
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<<localeconv>> returns a pointer to a structure of type <<lconv>>,
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@ -6,10 +6,10 @@ collating sequences and formatting conventions) that may be different
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depending on location or culture. The @code{"C"} locale is the only
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one defined in the ANSI C standard.
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This is a minimal implementation, supporting only the required @code{``C''}
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This is a minimal implementation, supporting only the required @code{"C"}
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value for locale; strings representing other locales are not
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honored. (@code{``''} is also accepted; it represents the default locale
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for an implementation, here equivalent to @code{``C''}.
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honored. (@code{""} is also accepted; it represents the default locale
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for an implementation, here equivalent to @code{"C"}.
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@file{locale.h} defines the structure @code{lconv} to collect the
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@ -18,13 +18,13 @@ information on a locale, with the following fields:
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@table @code
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@item char *decimal_point
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The decimal point character used to format ``ordinary'' numbers (all
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numbers except those referring to amounts of money). @code{``.''} in the
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numbers except those referring to amounts of money). @code{"."} in the
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C locale.
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@item char *thousands_sep
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The character (if any) used to separate groups of digits, when
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formatting ordinary numbers.
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@code{``''} in the C locale.
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@code{""} in the C locale.
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@item char *grouping
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Specifications for how many digits to group (if any grouping is done at
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@ -33,36 +33,36 @@ character in the string represents the number of digits for the next
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group, and a value of @code{0} (that is, the string's trailing
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@code{NULL}) means to continue grouping digits using the last value
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specified. Use @code{CHAR_MAX} to indicate that no further grouping is
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desired. @code{``''} in the C locale.
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desired. @code{""} in the C locale.
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@item char *int_curr_symbol
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The international currency symbol (first three characters), if any, and
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the character used to separate it from numbers.
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@code{``''} in the C locale.
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@code{""} in the C locale.
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@item char *currency_symbol
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The local currency symbol, if any.
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@code{``''} in the C locale.
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@code{""} in the C locale.
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@item char *mon_decimal_point
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The symbol used to delimit fractions in amounts of money.
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@code{``''} in the C locale.
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@code{""} in the C locale.
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@item char *mon_thousands_sep
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Similar to @code{thousands_sep}, but used for amounts of money.
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@code{``''} in the C locale.
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@code{""} in the C locale.
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@item char *mon_grouping
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Similar to @code{grouping}, but used for amounts of money.
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@code{``''} in the C locale.
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@code{""} in the C locale.
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@item char *positive_sign
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A string to flag positive amounts of money when formatting.
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@code{``''} in the C locale.
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@code{""} in the C locale.
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@item char *negative_sign
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A string to flag negative amounts of money when formatting.
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@code{``''} in the C locale.
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@code{""} in the C locale.
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@item char int_frac_digits
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The number of digits to display when formatting amounts of money to
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@ -1,8 +1,8 @@
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@node machine,,syscalls,Top
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@chapter NEC V70 Specific Functions
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The NEC V70 has machine instructions for fast IEEE floating point,
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including operations normally provided by the library.
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The NEC V70 has machine instructions for fast IEEE floating-point
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arithmetic, including operations normally provided by the library.
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When you use the @file{/usr/include/fastmath.h} header file, the
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names of several library math functions are redefined to call the
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@ -43,7 +43,7 @@ Also, the library provides true @code{float} entry points. The
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@code{fast_sinf} entry point really performs a @code{fsin.s}
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operation. Because of this, the instructions are only useful when
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using code compiled with an ANSI C compiler. The prototypes
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and definitions for the floating point versions of the math library
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and definitions for the floating-point versions of the math library
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routines are only defined if compiling a module with an ANSI C
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compiler.
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@ -250,24 +250,24 @@ DESCRIPTION
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o f
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prints a signed value of the form <<[-]9999.9999>>; takes
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a floating point number
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a floating-point number
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o e
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prints a signed value of the form <<[-]9.9999e[+|-]999>>; takes a
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floating point number
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floating-point number
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o E
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prints the same way as <<e>>, but using <<E>> to introduce the
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exponent; takes a floating point number
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exponent; takes a floating-point number
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o g
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prints a signed value in either <<f>> or <<e>> form, based on given
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value and precision---trailing zeros and the decimal point are
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printed only if necessary; takes a floating point number
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printed only if necessary; takes a floating-point number
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o G
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prints the same way as <<g>>, but using <<E>> for the exponent if an
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exponent is needed; takes a floating point number
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exponent is needed; takes a floating-point number
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o n
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stores (in the same object) a count of the characters written;
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@ -234,11 +234,11 @@ DESCRIPTION
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<<(int *arg)>>.
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o e, f, g
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Read a floating point number into the corresponding <[arg]>:
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Read a floating-point number into the corresponding <[arg]>:
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<<(float *arg)>>.
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o E, F, G
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Read a floating point number into the corresponding <[arg]>:
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Read a floating-point number into the corresponding <[arg]>:
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<<(double *arg)>>.
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o i
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@ -25,7 +25,7 @@ DESCRIPTION
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<<atoff>> converts the initial portion of a string to a <<float>>.
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The functions parse the character string <[s]>,
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locating a substring which can be converted to a floating point
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locating a substring which can be converted to a floating-point
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value. The substring must match the format:
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. [+|-]<[digits]>[.][<[digits]>][(e|E)[+|-]<[digits]>]
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The substring converted is the longest initial
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@ -19,9 +19,9 @@ Divide
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@tex
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$n/d$,
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@end tex
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@ifinfo
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@ifnottex
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<[n]>/<[d]>,
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@end ifinfo
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@end ifnottex
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returning quotient and remainder as two integers in a structure <<div_t>>.
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RETURNS
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@ -19,9 +19,9 @@ Divide
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@tex
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$n/d$,
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@end tex
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@ifinfo
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@ifnottex
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<[n]>/<[d]>,
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@end ifinfo
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@end ifnottex
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returning quotient and remainder as two long integers in a structure <<ldiv_t>>.
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RETURNS
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@ -44,7 +44,7 @@ void _IO_ldtostr(long double *, char *, int, int, char);
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/* Maximum exponent digits - base 10 */
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#define MAX_EXP_DIGITS 5
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/* Control structure for long doublue conversion including rounding precision values.
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/* Control structure for long double conversion including rounding precision values.
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* rndprc can be set to 80 (if NE=6), 64, 56, 53, or 24 bits.
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*/
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typedef struct
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@ -35,9 +35,9 @@ TRAD_SYNOPSIS
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DESCRIPTION
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<<expm1>> and <<expm1f>> calculate the exponential of <[x]>
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and subtract 1, that is,
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@ifinfo
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@ifnottex
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e raised to the power <[x]> minus 1 (where e
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@end ifinfo
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@end ifnottex
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@tex
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$e^x - 1$ (where $e$
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@end tex
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@ -13,7 +13,7 @@
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/*
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FUNCTION
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<<ilogb>>, <<ilogbf>>---get exponent of floating point number
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<<ilogb>>, <<ilogbf>>---get exponent of floating-point number
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INDEX
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ilogb
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INDEX
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@ -44,7 +44,7 @@ DESCRIPTION
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RETURNS
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<<ilogb>> and <<ilogbf>> return the power of two used to form the
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floating point argument. If <[val]> is <<0>>, they return <<-
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floating-point argument. If <[val]> is <<0>>, they return <<-
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INT_MAX>> (<<INT_MAX>> is defined in limits.h). If <[val]> is
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infinite, or NaN, they return <<INT_MAX>>.
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|
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@ -25,8 +25,8 @@ TRAD_SYNOPSIS
|
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|
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DESCRIPTION
|
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<<infinity>> and <<infinityf>> return the special number IEEE
|
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infinity in double and single precision arithmetic
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respectivly.
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infinity in double- and single-precision arithmetic
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respectively.
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|
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QUICKREF
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infinity - pure
|
||||
|
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@ -5,7 +5,7 @@
|
|||
|
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/*
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FUNCTION
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<<nan>>, <<nanf>>---representation of infinity
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<<nan>>, <<nanf>>---representation of ``Not a Number''
|
||||
|
||||
INDEX
|
||||
nan
|
||||
|
|
@ -25,7 +25,7 @@ TRAD_SYNOPSIS
|
|||
|
||||
DESCRIPTION
|
||||
<<nan>> and <<nanf>> return an IEEE NaN (Not a Number) in
|
||||
double and single precision arithmetic respectivly. The
|
||||
double- and single-precision arithmetic respectively. The
|
||||
argument is currently disregarded.
|
||||
|
||||
QUICKREF
|
||||
|
|
|
|||
|
|
@ -38,7 +38,7 @@ TRAD_SYNOPSIS
|
|||
|
||||
|
||||
DESCRIPTION
|
||||
<<nextafter>> returns the double) precision floating point number
|
||||
<<nextafter>> returns the double-precision floating-point number
|
||||
closest to <[val]> in the direction toward <[dir]>. <<nextafterf>>
|
||||
performs the same operation in single precision. For example,
|
||||
<<nextafter(0.0,1.0)>> returns the smallest positive number which is
|
||||
|
|
|
|||
|
|
@ -13,7 +13,7 @@
|
|||
|
||||
/*
|
||||
FUNCTION
|
||||
<<scalbn>>, <<scalbnf>>---scale by integer
|
||||
<<scalbn>>, <<scalbnf>>---scale by power of two
|
||||
INDEX
|
||||
scalbn
|
||||
INDEX
|
||||
|
|
|
|||
|
|
@ -18,7 +18,7 @@
|
|||
* 1. Compute and return log2(x) in two pieces:
|
||||
* log2(x) = w1 + w2,
|
||||
* where w1 has 53-24 = 29 bit trailing zeros.
|
||||
* 2. Perform y*log2(x) = n+y' by simulating muti-precision
|
||||
* 2. Perform y*log2(x) = n+y' by simulating multi-precision
|
||||
* arithmetic, where |y'|<=0.5.
|
||||
* 3. Return x**y = 2**n*exp(y'*log2)
|
||||
*
|
||||
|
|
|
|||
|
|
@ -102,7 +102,7 @@ In X/Open mode, @code{errno} is set correctly, and @code{matherr} is
|
|||
called, but warning message are not printed.
|
||||
|
||||
In SVID mode, functions which overflow return 3.40282346638528860e+38,
|
||||
the maximum single precision floating point value, rather than infinity.
|
||||
the maximum single-precision floating-point value, rather than infinity.
|
||||
Also, @code{errno} is set correctly, @code{matherr} is called, and, if
|
||||
@code{matherr} returns 0, warning messages are printed for some errors.
|
||||
For example, by default @samp{log(-1.0)} writes this message on standard
|
||||
|
|
|
|||
|
|
@ -36,9 +36,9 @@ TRAD_SYNOPSIS
|
|||
DESCRIPTION
|
||||
<<asinh>> calculates the inverse hyperbolic sine of <[x]>.
|
||||
<<asinh>> is defined as
|
||||
@ifinfo
|
||||
@ifnottex
|
||||
. sgn(<[x]>) * log(abs(<[x]>) + sqrt(1+<[x]>*<[x]>))
|
||||
@end ifinfo
|
||||
@end ifnottex
|
||||
@tex
|
||||
$$sign(x) \times ln\Bigl(|x| + \sqrt{1+x^2}\Bigr)$$
|
||||
@end tex
|
||||
|
|
|
|||
|
|
@ -41,9 +41,9 @@ DESCRIPTION
|
|||
<<atanf>> is identical to <<atan>>, save that it operates on <<floats>>.
|
||||
|
||||
RETURNS
|
||||
@ifinfo
|
||||
@ifnottex
|
||||
<<atan>> returns a value in radians, in the range of -pi/2 to pi/2.
|
||||
@end ifinfo
|
||||
@end ifnottex
|
||||
@tex
|
||||
<<atan>> returns a value in radians, in the range of $-\pi/2$ to $\pi/2$.
|
||||
@end tex
|
||||
|
|
|
|||
|
|
@ -43,10 +43,10 @@ DESCRIPTION
|
|||
long as <[val]> is nonzero). The power of two will be stored
|
||||
in <<*>><[exp]>.
|
||||
|
||||
@ifinfo
|
||||
@ifnottex
|
||||
<[m]> and <[p]> are calculated so that
|
||||
<[val]> is <[m]> times <<2>> to the power <[p]>.
|
||||
@end ifinfo
|
||||
@end ifnottex
|
||||
@tex
|
||||
<[m]> and <[p]> are calculated so that
|
||||
$ val = m \times 2^p $.
|
||||
|
|
|
|||
|
|
@ -55,7 +55,7 @@ TRAD_SYNOPSIS
|
|||
|
||||
|
||||
DESCRIPTION
|
||||
These functions provide information on the floating point
|
||||
These functions provide information on the floating-point
|
||||
argument supplied.
|
||||
|
||||
There are five major number formats -
|
||||
|
|
@ -79,7 +79,7 @@ DESCRIPTION
|
|||
|
||||
The <<isnanf>>, <<isinff>> and <<finitef>> perform the same
|
||||
operations as their <<isnan>>, <<isinf>> and <<finite>>
|
||||
counterparts, but on single precision floating point numbers.
|
||||
counterparts, but on single-precision floating-point numbers.
|
||||
|
||||
QUICKREF
|
||||
isnan - pure
|
||||
|
|
|
|||
|
|
@ -39,9 +39,9 @@ TRAD_SYNOPSIS
|
|||
|
||||
DESCRIPTION
|
||||
<<ldexp>> calculates the value
|
||||
@ifinfo
|
||||
@ifnottex
|
||||
<[val]> times 2 to the power <[exp]>.
|
||||
@end ifinfo
|
||||
@end ifnottex
|
||||
@tex
|
||||
$val\times 2^{exp}$.
|
||||
@end tex
|
||||
|
|
|
|||
|
|
@ -44,9 +44,9 @@ DESCRIPTION
|
|||
its calculations on <<floats>>.
|
||||
|
||||
RETURNS
|
||||
@ifinfo
|
||||
@ifnottex
|
||||
<<acos>> and <<acosf>> return values in radians, in the range of 0 to pi.
|
||||
@end ifinfo
|
||||
@end ifnottex
|
||||
@tex
|
||||
<<acos>> and <<acosf>> return values in radians, in the range of <<0>> to $\pi$.
|
||||
@end tex
|
||||
|
|
|
|||
|
|
@ -37,9 +37,9 @@ TRAD_SYNOPSIS
|
|||
DESCRIPTION
|
||||
<<acosh>> calculates the inverse hyperbolic cosine of <[x]>.
|
||||
<<acosh>> is defined as
|
||||
@ifinfo
|
||||
@ifnottex
|
||||
. log(<[x]> + sqrt(<[x]>*<[x]>-1))
|
||||
@end ifinfo
|
||||
@end ifnottex
|
||||
@tex
|
||||
$$ln\Bigl(x + \sqrt{x^2-1}\Bigr)$$
|
||||
@end tex
|
||||
|
|
|
|||
|
|
@ -46,9 +46,9 @@ returning floats.
|
|||
You can modify error handling for these routines using <<matherr>>.
|
||||
|
||||
RETURNS
|
||||
@ifinfo
|
||||
@ifnottex
|
||||
<<asin>> returns values in radians, in the range of -pi/2 to pi/2.
|
||||
@end ifinfo
|
||||
@end ifnottex
|
||||
@tex
|
||||
<<asin>> returns values in radians, in the range of $-\pi/2$ to $\pi/2$.
|
||||
@end tex
|
||||
|
|
|
|||
|
|
@ -40,9 +40,9 @@ DESCRIPTION
|
|||
|
||||
<<atan2>> computes the inverse tangent (arc tangent) of <[y]>/<[x]>.
|
||||
<<atan2>> produces the correct result even for angles near
|
||||
@ifinfo
|
||||
@ifnottex
|
||||
pi/2 or -pi/2
|
||||
@end ifinfo
|
||||
@end ifnottex
|
||||
@tex
|
||||
$\pi/2$ or $-\pi/2$
|
||||
@end tex
|
||||
|
|
@ -53,9 +53,9 @@ $\pi/2$ or $-\pi/2$
|
|||
|
||||
RETURNS
|
||||
<<atan2>> and <<atan2f>> return a value in radians, in the range of
|
||||
@ifinfo
|
||||
@ifnottex
|
||||
-pi to pi.
|
||||
@end ifinfo
|
||||
@end ifnottex
|
||||
@tex
|
||||
$-\pi$ to $\pi$.
|
||||
@end tex
|
||||
|
|
|
|||
|
|
@ -43,9 +43,9 @@ RETURNS
|
|||
<<atanh>> and <<atanhf>> return the calculated value.
|
||||
|
||||
If
|
||||
@ifinfo
|
||||
@ifnottex
|
||||
|<[x]>|
|
||||
@end ifinfo
|
||||
@end ifnottex
|
||||
@tex
|
||||
$|x|$
|
||||
@end tex
|
||||
|
|
@ -53,9 +53,9 @@ RETURNS
|
|||
the result is a NaN. A <<DOMAIN error>> is reported.
|
||||
|
||||
If
|
||||
@ifinfo
|
||||
@ifnottex
|
||||
|<[x]>|
|
||||
@end ifinfo
|
||||
@end ifnottex
|
||||
@tex
|
||||
$|x|$
|
||||
@end tex
|
||||
|
|
|
|||
|
|
@ -33,9 +33,9 @@ DESCRIPTION
|
|||
|
||||
<<cosh>> computes the hyperbolic cosine of the argument <[x]>.
|
||||
<<cosh(<[x]>)>> is defined as
|
||||
@ifinfo
|
||||
@ifnottex
|
||||
. (exp(x) + exp(-x))/2
|
||||
@end ifinfo
|
||||
@end ifnottex
|
||||
@tex
|
||||
$${(e^x + e^{-x})} \over 2$$
|
||||
@end tex
|
||||
|
|
|
|||
|
|
@ -34,9 +34,9 @@ TRAD_SYNOPSIS
|
|||
|
||||
DESCRIPTION
|
||||
<<exp>> and <<expf>> calculate the exponential of <[x]>, that is,
|
||||
@ifinfo
|
||||
@ifnottex
|
||||
e raised to the power <[x]> (where e
|
||||
@end ifinfo
|
||||
@end ifnottex
|
||||
@tex
|
||||
$e^x$ (where $e$
|
||||
@end tex
|
||||
|
|
|
|||
|
|
@ -34,8 +34,12 @@ TRAD_SYNOPSIS
|
|||
|
||||
DESCRIPTION
|
||||
<<exp2>> and <<exp2f>> calculate 2 ^ <[x]>, that is,
|
||||
@ifinfo
|
||||
@ifnottex
|
||||
2 raised to the power <[x]>.
|
||||
@end ifnottex
|
||||
@tex
|
||||
$2^x$
|
||||
@end tex
|
||||
|
||||
You can use the (non-ANSI) function <<matherr>> to specify
|
||||
error handling for these functions.
|
||||
|
|
|
|||
|
|
@ -39,9 +39,9 @@ remainder of <[x]>/<[y]> (<[x]> modulo <[y]>).
|
|||
|
||||
RETURNS
|
||||
The <<fmod>> function returns the value
|
||||
@ifinfo
|
||||
@ifnottex
|
||||
<[x]>-<[i]>*<[y]>,
|
||||
@end ifinfo
|
||||
@end ifnottex
|
||||
@tex
|
||||
$x-i\times y$,
|
||||
@end tex
|
||||
|
|
|
|||
|
|
@ -76,9 +76,9 @@ $\mit ln\bigl(\Gamma(x)\bigr)$,
|
|||
the natural logarithm of the gamma function of <[x]>. The gamma function
|
||||
(<<exp(gamma(<[x]>))>>) is a generalization of factorial, and retains
|
||||
the property that
|
||||
@ifinfo
|
||||
@ifnottex
|
||||
<<exp(gamma(N))>> is equivalent to <<N*exp(gamma(N-1))>>.
|
||||
@end ifinfo
|
||||
@end ifnottex
|
||||
@tex
|
||||
$\mit \Gamma(N)\equiv N\times\Gamma(N-1)$.
|
||||
@end tex
|
||||
|
|
@ -87,10 +87,10 @@ quickly. <<gamma>> is defined as
|
|||
@tex
|
||||
$\mit ln\bigl(\Gamma(x)\bigr)$ rather than simply $\mit \Gamma(x)$
|
||||
@end tex
|
||||
@ifinfo
|
||||
@ifnottex
|
||||
the natural log of the gamma function, rather than the gamma function
|
||||
itself,
|
||||
@end ifinfo
|
||||
@end ifnottex
|
||||
to extend the useful range of results representable.
|
||||
|
||||
The sign of the result is returned in the global variable <<signgam>>,
|
||||
|
|
|
|||
|
|
@ -36,9 +36,9 @@ DESCRIPTION
|
|||
@tex
|
||||
$\sqrt{x^2+y^2}$
|
||||
@end tex
|
||||
@ifinfo
|
||||
@ifnottex
|
||||
<<sqrt(<[x]>*<[x]> + <[y]>*<[y]>)>>
|
||||
@end ifinfo
|
||||
@end ifnottex
|
||||
between the origin (0,0) and a point represented by the
|
||||
Cartesian coordinates (<[x]>,<[y]>). <<hypotf>> differs only
|
||||
in the type of its arguments and result.
|
||||
|
|
|
|||
|
|
@ -91,10 +91,10 @@ float <[x]>;
|
|||
DESCRIPTION
|
||||
The Bessel functions are a family of functions that solve the
|
||||
differential equation
|
||||
@ifinfo
|
||||
@ifnottex
|
||||
. 2 2 2
|
||||
. x y'' + xy' + (x - p )y = 0
|
||||
@end ifinfo
|
||||
@end ifnottex
|
||||
@tex
|
||||
$$x^2{d^2y\over dx^2} + x{dy\over dx} + (x^2-p^2)y = 0$$
|
||||
@end tex
|
||||
|
|
|
|||
|
|
@ -35,7 +35,7 @@ TRAD_SYNOPSIS
|
|||
float <[x]>, <[y]>;
|
||||
|
||||
DESCRIPTION
|
||||
<<pow>> and <<powf>> calculate <[x]> raised to the exp1.0nt <[y]>.
|
||||
<<pow>> and <<powf>> calculate <[x]> raised to the exponent <[y]>.
|
||||
@tex
|
||||
(That is, $x^y$.)
|
||||
@end tex
|
||||
|
|
|
|||
|
|
@ -37,9 +37,9 @@ TRAD_SYNOPSIS
|
|||
DESCRIPTION
|
||||
<<sinh>> computes the hyperbolic sine of the argument <[x]>.
|
||||
Angles are specified in radians. <<sinh>>(<[x]>) is defined as
|
||||
@ifinfo
|
||||
@ifnottex
|
||||
. (exp(<[x]>) - exp(-<[x]>))/2
|
||||
@end ifinfo
|
||||
@end ifnottex
|
||||
@tex
|
||||
$${e^x - e^{-x}}\over 2$$
|
||||
@end tex
|
||||
|
|
|
|||
|
|
@ -26,9 +26,9 @@ TRAD_SYNOPSIS
|
|||
DESCRIPTION
|
||||
<<acosh>> calculates the inverse hyperbolic cosine of <[x]>.
|
||||
<<acosh>> is defined as
|
||||
@ifinfo
|
||||
@ifnottex
|
||||
. log(<[x]> + sqrt(<[x]>*<[x]>-1))
|
||||
@end ifinfo
|
||||
@end ifnottex
|
||||
@tex
|
||||
$$ln\Bigl(x + \sqrt{x^2-1}\Bigr)$$
|
||||
@end tex
|
||||
|
|
|
|||
|
|
@ -44,9 +44,9 @@ RETURNS
|
|||
<<atanh>> and <<atanhf>> return the calculated value.
|
||||
|
||||
If
|
||||
@ifinfo
|
||||
@ifnottex
|
||||
|<[x]>|
|
||||
@end ifinfo
|
||||
@end ifnottex
|
||||
@tex
|
||||
$|x|$
|
||||
@end tex
|
||||
|
|
@ -54,9 +54,9 @@ RETURNS
|
|||
the result is a NaN. A <<DOMAIN error>> is reported.
|
||||
|
||||
If
|
||||
@ifinfo
|
||||
@ifnottex
|
||||
|<[x]>|
|
||||
@end ifinfo
|
||||
@end ifnottex
|
||||
@tex
|
||||
$|x|$
|
||||
@end tex
|
||||
|
|
|
|||
|
|
@ -36,9 +36,9 @@ DESCRIPTION
|
|||
@tex
|
||||
$\sqrt{x^2+y^2}$
|
||||
@end tex
|
||||
@ifinfo
|
||||
@ifnottex
|
||||
<<sqrt(<[x]>*<[x]> + <[y]>*<[y]>)>>
|
||||
@end ifinfo
|
||||
@end ifnottex
|
||||
between the origin (0,0) and a point represented by the
|
||||
Cartesian coordinates (<[x]>,<[y]>). <<hypotf>> differs only
|
||||
in the type of its arguments and result.
|
||||
|
|
|
|||
|
|
@ -76,9 +76,9 @@ $\mit ln\bigl(\Gamma(x)\bigr)$,
|
|||
the natural logarithm of the gamma function of <[x]>. The gamma function
|
||||
(<<exp(gamma(<[x]>))>>) is a generalization of factorial, and retains
|
||||
the property that
|
||||
@ifinfo
|
||||
@ifnottex
|
||||
<<exp(gamma(N))>> is equivalent to <<N*exp(gamma(N-1))>>.
|
||||
@end ifinfo
|
||||
@end ifnottex
|
||||
@tex
|
||||
$\mit \Gamma(N)\equiv N\times\Gamma(N-1)$.
|
||||
@end tex
|
||||
|
|
@ -87,10 +87,10 @@ quickly. <<gamma>> is defined as
|
|||
@tex
|
||||
$\mit ln\bigl(\Gamma(x)\bigr)$ rather than simply $\mit \Gamma(x)$
|
||||
@end tex
|
||||
@ifinfo
|
||||
@ifnottex
|
||||
the natural log of the gamma function, rather than the gamma function
|
||||
itself,
|
||||
@end ifinfo
|
||||
@end ifnottex
|
||||
to extend the useful range of results representable.
|
||||
|
||||
The sign of the result is returned in the global variable <<signgam>>,
|
||||
|
|
|
|||
|
|
@ -102,7 +102,7 @@ In X/Open mode, @code{errno} is set correctly, and @code{matherr} is
|
|||
called, but warning message are not printed.
|
||||
|
||||
In SVID mode, functions which overflow return 3.40282346638528860e+38,
|
||||
the maximum single precision floating point value, rather than infinity.
|
||||
the maximum single-precision floating-point value, rather than infinity.
|
||||
Also, @code{errno} is set correctly, @code{matherr} is called, and, if
|
||||
@code{matherr} returns 0, warning messages are printed for some errors.
|
||||
For example, by default @samp{log(-1.0)} writes this message on standard
|
||||
|
|
|
|||
|
|
@ -34,10 +34,10 @@ DESCRIPTION
|
|||
its calculations on <<floats>>.
|
||||
|
||||
RETURNS
|
||||
@ifinfo
|
||||
@ifnottex
|
||||
<<acos>> and <<acosf>> return values in radians, in the range of 0 to pi
|
||||
.
|
||||
@end ifinfo
|
||||
@end ifnottex
|
||||
@tex
|
||||
<<acos>> and <<acosf>> return values in radians, in the range of <<0>> t
|
||||
o $\pi$.
|
||||
|
|
|
|||
|
|
@ -62,9 +62,9 @@ Arguments to <<asin>> and <<acos>> must be in the range @minus{}1 to 1.
|
|||
than taking and returning floats.
|
||||
|
||||
RETURNS
|
||||
@ifinfo
|
||||
@ifnottex
|
||||
<<asin>> and <<acos>> return values in radians, in the range of -pi/2 to pi/2.
|
||||
@end ifinfo
|
||||
@end ifnottex
|
||||
@tex
|
||||
<<asin>> and <<acos>> return values in radians, in the range of $-\pi/2$ to $\pi/2$.
|
||||
@end tex
|
||||
|
|
|
|||
|
|
@ -36,9 +36,9 @@ TRAD_SYNOPSIS
|
|||
DESCRIPTION
|
||||
<<asinh>> calculates the inverse hyperbolic sine of <[x]>.
|
||||
<<asinh>> is defined as
|
||||
@ifinfo
|
||||
@ifnottex
|
||||
. sgn(<[x]>) * log(abs(<[x]>) + sqrt(1+<[x]>*<[x]>))
|
||||
@end ifinfo
|
||||
@end ifnottex
|
||||
@tex
|
||||
$$sign(x) \times ln\Bigl(|x| + \sqrt{1+x^2}\Bigr)$$
|
||||
@end tex
|
||||
|
|
|
|||
|
|
@ -30,9 +30,9 @@ DESCRIPTION
|
|||
<<atanf>> is identical to <<atan>>, save that it operates on <<floats>>.
|
||||
|
||||
RETURNS
|
||||
@ifinfo
|
||||
@ifnottex
|
||||
<<atan>> returns a value in radians, in the range of -pi/2 to pi/2.
|
||||
@end ifinfo
|
||||
@end ifnottex
|
||||
@tex
|
||||
<<atan>> returns a value in radians, in the range of $-\pi/2$ to $\pi/2$.
|
||||
@end tex
|
||||
|
|
|
|||
|
|
@ -29,9 +29,9 @@ DESCRIPTION
|
|||
|
||||
<<atan2>> computes the inverse tangent (arc tangent) of <[y]>/<[x]>.
|
||||
<<atan2>> produces the correct result even for angles near
|
||||
@ifinfo
|
||||
@ifnottex
|
||||
pi/2 or -pi/2
|
||||
@end ifinfo
|
||||
@end ifnottex
|
||||
@tex
|
||||
$\pi/2$ or $-\pi/2$
|
||||
@end tex
|
||||
|
|
@ -42,9 +42,9 @@ $\pi/2$ or $-\pi/2$
|
|||
|
||||
RETURNS
|
||||
<<atan2>> and <<atan2f>> return a value in radians, in the range of
|
||||
@ifinfo
|
||||
@ifnottex
|
||||
-pi to pi.
|
||||
@end ifinfo
|
||||
@end ifnottex
|
||||
@tex
|
||||
$-\pi$ to $\pi$.
|
||||
@end tex
|
||||
|
|
|
|||
|
|
@ -55,10 +55,10 @@ DESCRIPTION
|
|||
<<atanf>> is identical to <<atan>>, save that it operates on <<floats>>.
|
||||
|
||||
RETURNS
|
||||
@ifinfo
|
||||
@ifnottex
|
||||
<<atan>> returns a value in radians, in the range of -pi/2 to pi/2.
|
||||
<<atan2>> returns a value in radians, in the range of -pi/2 to pi/2.
|
||||
@end ifinfo
|
||||
@end ifnottex
|
||||
@tex
|
||||
<<atan>> returns a value in radians, in the range of $-\pi/2$ to $\pi/2$.
|
||||
<<atan2>> returns a value in radians, in the range of $-\pi/2$ to $\pi/2$.
|
||||
|
|
|
|||
|
|
@ -23,9 +23,9 @@ DESCRIPTION
|
|||
|
||||
<<cosh>> computes the hyperbolic cosine of the argument <[x]>.
|
||||
<<cosh(<[x]>)>> is defined as
|
||||
@ifinfo
|
||||
@ifnottex
|
||||
. (exp(x) + exp(-x))/2
|
||||
@end ifinfo
|
||||
@end ifnottex
|
||||
@tex
|
||||
$${(e^x + e^{-x})} \over 2$$
|
||||
@end tex
|
||||
|
|
|
|||
|
|
@ -30,9 +30,9 @@ TRAD_SYNOPSIS
|
|||
|
||||
DESCRIPTION
|
||||
<<exp>> and <<expf>> calculate the exponential of <[x]>, that is,
|
||||
@ifinfo
|
||||
@ifnottex
|
||||
e raised to the power <[x]> (where e
|
||||
@end ifinfo
|
||||
@end ifnottex
|
||||
@tex
|
||||
$e^x$ (where $e$
|
||||
@end tex
|
||||
|
|
|
|||
|
|
@ -39,9 +39,9 @@ remainder of <[x]>/<[y]> (<[x]> modulo <[y]>).
|
|||
|
||||
RETURNS
|
||||
The <<fmod>> function returns the value
|
||||
@ifinfo
|
||||
@ifnottex
|
||||
<[x]>-<[i]>*<[y]>,
|
||||
@end ifinfo
|
||||
@end ifnottex
|
||||
@tex
|
||||
$x-i\times y$,
|
||||
@end tex
|
||||
|
|
|
|||
|
|
@ -33,10 +33,10 @@ DESCRIPTION
|
|||
long as <[val]> is nonzero). The power of two will be stored
|
||||
in <<*>><[exp]>.
|
||||
|
||||
@ifinfo
|
||||
@ifnottex
|
||||
<[m]> and <[p]> are calculated so that
|
||||
<[val]> is <[m]> times <<2>> to the power <[p]>.
|
||||
@end ifinfo
|
||||
@end ifnottex
|
||||
@tex
|
||||
<[m]> and <[p]> are calculated so that
|
||||
$ val = m \times 2^p $.
|
||||
|
|
|
|||
|
|
@ -46,7 +46,7 @@ TRAD_SYNOPSIS
|
|||
|
||||
|
||||
DESCRIPTION
|
||||
These functions provide information on the floating point
|
||||
These functions provide information on the floating-point
|
||||
argument supplied.
|
||||
|
||||
There are five major number formats -
|
||||
|
|
@ -71,7 +71,7 @@ ion.
|
|||
|
||||
The <<isnanf>>, <<isinff>> and <<finitef>> perform the same
|
||||
operations as their <<isnan>>, <<isinf>> and <<finite>>
|
||||
counterparts, but on single precision floating point numbers.
|
||||
counterparts, but on single-precision floating-point numbers.
|
||||
|
||||
QUICKREF
|
||||
isnan - pure
|
||||
|
|
@ -92,7 +92,7 @@ QUICKREF
|
|||
* isnan
|
||||
*
|
||||
* Input:
|
||||
* x - pointer to a floating point value
|
||||
* x - pointer to a floating-point value
|
||||
*
|
||||
* Output:
|
||||
* An integer that indicates if the number is NaN.
|
||||
|
|
|
|||
|
|
@ -28,9 +28,9 @@ TRAD_SYNOPSIS
|
|||
|
||||
DESCRIPTION
|
||||
<<ldexp>> calculates the value
|
||||
@ifinfo
|
||||
@ifnottex
|
||||
<[val]> times 2 to the power <[exp]>.
|
||||
@end ifinfo
|
||||
@end ifnottex
|
||||
@tex
|
||||
$val\times 2^{exp}$.
|
||||
@end tex
|
||||
|
|
|
|||
|
|
@ -24,7 +24,7 @@ TRAD_SYNOPSIS
|
|||
float <[x]>, <[y]>;
|
||||
|
||||
DESCRIPTION
|
||||
<<pow>> and <<powf>> calculate <[x]> raised to the exp1.0nt <[y]>.
|
||||
<<pow>> and <<powf>> calculate <[x]> raised to the exponent <[y]>.
|
||||
@tex
|
||||
(That is, $x^y$.)
|
||||
@end tex
|
||||
|
|
|
|||
|
|
@ -44,16 +44,16 @@ DESCRIPTION
|
|||
<<sinh>> and <<cosh>> compute the hyperbolic sine or cosine
|
||||
of the argument <[x]>.
|
||||
Angles are specified in radians. <<sinh>>(<[x]>) is defined as
|
||||
@ifinfo
|
||||
@ifnottex
|
||||
. (exp(<[x]>) - exp(-<[x]>))/2
|
||||
@end ifinfo
|
||||
@end ifnottex
|
||||
@tex
|
||||
$${e^x - e^{-x}}\over 2$$
|
||||
@end tex
|
||||
<<cosh>> is defined as
|
||||
@ifinfo
|
||||
@ifnottex
|
||||
. (exp(<[x]>) - exp(-<[x]>))/2
|
||||
@end ifinfo
|
||||
@end ifnottex
|
||||
@tex
|
||||
$${e^x + e^{-x}}\over 2$$
|
||||
@end tex
|
||||
|
|
|
|||
|
|
@ -91,10 +91,10 @@ float <[x]>;
|
|||
DESCRIPTION
|
||||
The Bessel functions are a family of functions that solve the
|
||||
differential equation
|
||||
@ifinfo
|
||||
@ifnottex
|
||||
. 2 2 2
|
||||
. x y'' + xy' + (x - p )y = 0
|
||||
@end ifinfo
|
||||
@end ifnottex
|
||||
@tex
|
||||
$$x^2{d^2y\over dx^2} + x{dy\over dx} + (x^2-p^2)y = 0$$
|
||||
@end tex
|
||||
|
|
|
|||
Loading…
Reference in New Issue