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|
%%
%% This is file `xinttrig.sty',
%% generated with the docstrip utility.
%%
%% The original source files were:
%%
%% xint.dtx (with options: `xinttrig')
%%
%% IMPORTANT NOTICE:
%%
%% For the copyright see the source file.
%%
%% Any modified versions of this file must be renamed
%% with new filenames distinct from xinttrig.sty.
%%
%% For distribution of the original source see the terms
%% for copying and modification in the file xint.dtx.
%%
%% This generated file may be distributed as long as the
%% original source files, as listed above, are part of the
%% same distribution. (The sources need not necessarily be
%% in the same archive or directory.)
%% ---------------------------------------------------------------
%% The xint bundle 1.4d 2021/03/29
%% Copyright (C) 2013-2021 by Jean-Francois Burnol
%% xinttrig: Trigonometry for the xintexpr package
%% ---------------------------------------------------------------
\begingroup\catcode61\catcode48\catcode32=10\relax%
\catcode13=5 % ^^M
\endlinechar=13 %
\catcode123=1 % {
\catcode125=2 % }
\catcode64=11 % @
\catcode35=6 % #
\catcode44=12 % ,
\catcode45=12 % -
\catcode46=12 % .
\catcode58=12 % :
\catcode94=7 % ^
\def\z{\endgroup}%
\def\empty{}\def\space{ }\newlinechar10
\expandafter\let\expandafter\w\csname ver@xintexpr.sty\endcsname
\expandafter
\ifx\csname PackageInfo\endcsname\relax
\def\y#1#2{\immediate\write-1{Package #1 Info:^^J%
\space\space\space\space#2.}}%
\else
\def\y#1#2{\PackageInfo{#1}{#2}}%
\fi
\expandafter
\ifx\csname numexpr\endcsname\relax
\y{xinttrig}{\numexpr not available, aborting input}%
\aftergroup\endinput
\else
\ifx\w\relax % xintexpr.sty not yet loaded.
\y{xinttrig}%
{Loading should be via \ifx\x\empty\string\usepackage{xintexpr.sty}
\else\string\input\space xintexpr.sty \fi
rather, aborting}%
\aftergroup\endinput
\fi
\fi
\z%
\catcode`_ 11 \XINT_setcatcodes \catcode`? 12
\ifcsname xintlibver@trig\endcsname
\expandafter\xint_firstoftwo
\else
\expandafter\xint_secondoftwo
\fi
{\immediate\write-1{Reloading xinttrig library using Digits=\xinttheDigits.}}%
{\expandafter\gdef\csname xintlibver@trig\endcsname{2021/03/29 v1.4d}%
\XINT_providespackage
\ProvidesPackage{xinttrig}%
[2021/03/29 v1.4d Trigonometrical functions for xintexpr (JFB)]%
}%
\xintFor* #1 in {iDTVtuwxyzX}\do{\xintensuredummy{#1}}%
\def\xintreloadxinttrig
{\edef\XINT_restorecatcodes_now{\XINT_restorecatcodes}%
\XINT_setcatcodes\catcode`? 12
\input xinttrig.sty
\XINT_restorecatcodes_now}%
\xintdeffloatvar twoPi := 0 +
6.28318530717958647692528676655900576839433879875021164194989;%
\xintdeffloatvar threePiover2 := 0 +
4.71238898038468985769396507491925432629575409906265873146242;%
\xintdeffloatvar Pi := 0 +
3.14159265358979323846264338327950288419716939937510582097494;%
\xintdeffloatvar Piover2 := 0 +
1.57079632679489661923132169163975144209858469968755291048747;%
\xintdeffloatvar oneDegree := 0 +
0.0174532925199432957692369076848861271344287188854172545609719;% Pi/180
\xintdeffloatvar oneRadian := 0 +
57.2957795130823208767981548141051703324054724665643215491602;% 180/Pi
\xintdeffloatvar invfact\xintListWithSep{, invfact}{\xintSeq{2}{44}}%
:= \xintfloatexpr [\XINTdigits] % force float rounding after exact evaluations
\xintexpr rseq(1/2; @/i, i=3..44)\relax % no need to hide this inner ;
\relax;%
\xintdeffloatfunc sin_aux(X) := 1 - X(invfact3 - X(invfact5
\ifnum\XINTdigits>4
- X(invfact7
\ifnum\XINTdigits>6
- X(invfact9
\ifnum\XINTdigits>8
- X(invfact11
\ifnum\XINTdigits>10
- X(invfact13
\ifnum\XINTdigits>13
- X(invfact15
\ifnum\XINTdigits>15
- X(invfact17
\ifnum\XINTdigits>18
- X(invfact19
\ifnum\XINTdigits>21
- X(invfact21
\ifnum\XINTdigits>24
- X(invfact23
\ifnum\XINTdigits>27
- X(invfact25
\ifnum\XINTdigits>30
- X(invfact27
\ifnum\XINTdigits>33
- X(invfact29
\ifnum\XINTdigits>36
- X(invfact31
\ifnum\XINTdigits>39
- X(invfact33
\ifnum\XINTdigits>43
- X(invfact35
\ifnum\XINTdigits>46
- X(invfact37
\ifnum\XINTdigits>49
- X(invfact39
\ifnum\XINTdigits>53
- X(invfact41
\ifnum\XINTdigits>59
- X(invfact43
)\fi)\fi)\fi)\fi)\fi)\fi)\fi)\fi)\fi)\fi)\fi)\fi)\fi)\fi)\fi)\fi)\fi)\fi)\fi));%
\xintdeffloatfunc cos_aux(X) := 1 - X(invfact2 - X(invfact4
\ifnum\XINTdigits>3
- X(invfact6
\ifnum\XINTdigits>5
- X(invfact8
\ifnum\XINTdigits>7
- X(invfact10
\ifnum\XINTdigits>9
- X(invfact12
\ifnum\XINTdigits>12
- X(invfact14
\ifnum\XINTdigits>14
- X(invfact16
\ifnum\XINTdigits>17
- X(invfact18
\ifnum\XINTdigits>20
- X(invfact20
\ifnum\XINTdigits>23
- X(invfact22
\ifnum\XINTdigits>25
- X(invfact24
\ifnum\XINTdigits>28
- X(invfact26
\ifnum\XINTdigits>32
- X(invfact28
\ifnum\XINTdigits>35
- X(invfact30
\ifnum\XINTdigits>38
- X(invfact32
\ifnum\XINTdigits>41
- X(invfact34
\ifnum\XINTdigits>44
- X(invfact36
\ifnum\XINTdigits>48
- X(invfact38
\ifnum\XINTdigits>51
- X(invfact40
\ifnum\XINTdigits>55
- X(invfact42
\ifnum\XINTdigits>58
- X(invfact44
)\fi)\fi)\fi)\fi)\fi)\fi)\fi)\fi)\fi)\fi)\fi)\fi)\fi)\fi)\fi)\fi)\fi)\fi)\fi)\fi));%
\expandafter\let\csname XINT_expr_func_sin_aux\expandafter\endcsname
\csname XINT_flexpr_func_sin_aux\endcsname
\expandafter\let\csname XINT_expr_func_cos_aux\expandafter\endcsname
\csname XINT_flexpr_func_cos_aux\endcsname
\xintdeffloatfunc sin_(x) := x * sin_aux(sqr(x));%
\xintdeffloatfunc cos_(x) := cos_aux(sqr(x));%
\def\XINT_mod_ccclx_i #1.% input <k>.<N>. k is a non-negative exponent
{%
\expandafter\XINT_mod_ccclx_e\the\numexpr
\expandafter\XINT_mod_ccclx_j\the\numexpr1\ifcase#1 \or0\or00\else000\fi.%
}%
\def\XINT_mod_ccclx_j 1#1.#2.% #2=N is a non-negative mantissa
{%
(\XINT_mod_ccclx_ja {++}#2#1\XINT_mod_ccclx_jb 0000000\relax
}% 1 2345678
\def\XINT_mod_ccclx_ja #1#2#3#4#5#6#7#8#9%
{%
#9+#8+#7+#6+#5+#4+#3+#2\xint_firstoftwo{+\XINT_mod_ccclx_ja{+#9+#8+#7}}{#1}%
}%
\def\XINT_mod_ccclx_jb #1\xint_firstoftwo#2#3{#1+0)*280\XINT_mod_ccclx_jc #1#3}%
\def\XINT_mod_ccclx_jc +#1+#2+#3#4\relax{+80*(#3+#2+#1)+#3#2#1.}%
\def\XINT_mod_ccclx_e#1.{\expandafter\XINT_mod_ccclx_z\the\numexpr(#1+180)/360-1.#1.}%
\def\XINT_mod_ccclx_z#1.#2.{#2-360*#1.}%
\def\XINT_flexpr_func_sind_ #1#2#3%
{%
\expandafter #1\expandafter #2\expandafter{%
\romannumeral`&&@\XINT:NEhook:f:one:from:one{\romannumeral`&&@\xintSind#3}}%
}%
\def\XINT_expr_unlock{\expandafter\xint_firstofone\romannumeral`&&@}%
\def\xintSind#1{\romannumeral`&&@\expandafter\xintsind
\romannumeral0\XINTinfloatS[\XINTdigits]{#1}}%
\def\xintsind #1[#2#3]%
{%
\xint_UDsignfork
#2\XINT_sind
-\XINT_sind_int
\krof#2#3.#1..%<< attention extra dot
}%
\def\XINT_sind #1.#2.% NOT TO BE USED WITH VANISHING (OR NEGATIVE) #2.
{%
\expandafter\XINT_sind_a
\romannumeral0\xinttrunc{\XINTdigits}{#2[#1]}%
}%
\def\XINT_sind_a{\expandafter\XINT_sind_i\the\numexpr\XINT_mod_ccclx_i0.}%
\def\XINT_sind_int
{%
\expandafter\XINT_sind_i\the\numexpr\expandafter\XINT_mod_ccclx_i
}%
\def\XINT_sind_i #1.% range reduction inside [0, 360[
{%
\ifcase\numexpr#1/90\relax
\expandafter\XINT_sind_A
\or\expandafter\XINT_sind_B\the\numexpr-90+%
\or\expandafter\XINT_sind_C\the\numexpr-180+%
\or\expandafter\XINT_sind_D\the\numexpr-270+%
\else\expandafter\XINT_sind_E\the\numexpr-360+%
\fi#1.%
}%
\def\XINT_sind_A#1{%
\def\XINT_sind_A##1.##2.%
{%
\XINT_expr_unlock\expandafter\XINT_flexpr_userfunc_sin_\expandafter
{\romannumeral0\XINTinfloat[\XINTdigits]{\xintMul{##1.##2}#1}}%
}%
}\expandafter
\XINT_sind_A\expandafter{\romannumeral`&&@\xintthebarefloateval oneDegree\relax}%
\def\XINT_sind_B#1{\xint_UDsignfork#1\XINT_sind_B_n-\XINT_sind_B_p\krof #1}%
\def\XINT_tmpa#1{%
\def\XINT_sind_B_n-##1.##2.%
{%
\XINT_expr_unlock\expandafter\XINT_flexpr_userfunc_cos_\expandafter
{\romannumeral0\XINTinfloat[\XINTdigits]{\xintMul{\xintSub{##1[0]}{.##2}}#1}}%
}%
\def\XINT_sind_B_p##1.##2.%
{%
\XINT_expr_unlock\expandafter\XINT_flexpr_userfunc_cos_\expandafter
{\romannumeral0\XINTinfloat[\XINTdigits]{\xintMul{##1.##2}#1}}%
}%
}\expandafter
\XINT_tmpa\expandafter{\romannumeral`&&@\xintthebarefloateval oneDegree\relax}%
\def\XINT_sind_C#1{\xint_UDsignfork#1\XINT_sind_C_n-\XINT_sind_C_p\krof #1}%
\def\XINT_tmpa#1{%
\def\XINT_sind_C_n-##1.##2.%
{%
\XINT_expr_unlock\expandafter\XINT_flexpr_userfunc_sin_\expandafter
{\romannumeral0\XINTinfloat[\XINTdigits]{\xintMul{\xintSub{##1[0]}{.##2}}#1}}%
}%
\def\XINT_sind_C_p##1.##2.%
{%
\xintiiopp\XINT_expr_unlock\expandafter\XINT_flexpr_userfunc_sin_\expandafter
{\romannumeral0\XINTinfloat[\XINTdigits]{\xintMul{##1.##2}#1}}%
}%
}\expandafter
\XINT_tmpa\expandafter{\romannumeral`&&@\xintthebarefloateval oneDegree\relax}%
\def\XINT_sind_D#1{\xint_UDsignfork#1\XINT_sind_D_n-\XINT_sind_D_p\krof #1}%
\def\XINT_tmpa#1{%
\def\XINT_sind_D_n-##1.##2.%
{%
\xintiiopp\XINT_expr_unlock\expandafter\XINT_flexpr_userfunc_cos_\expandafter
{\romannumeral0\XINTinfloat[\XINTdigits]{\xintMul{\xintSub{##1[0]}{.##2}}#1}}%
}%
\def\XINT_sind_D_p##1.##2.%
{%
\xintiiopp\XINT_expr_unlock\expandafter\XINT_flexpr_userfunc_cos_\expandafter
{\romannumeral0\XINTinfloat[\XINTdigits]{\xintMul{##1.##2}#1}}%
}%
}\expandafter
\XINT_tmpa\expandafter{\romannumeral`&&@\xintthebarefloateval oneDegree\relax}%
\def\XINT_sind_E#1{%
\def\XINT_sind_E-##1.##2.%
{%
\xintiiopp\XINT_expr_unlock\expandafter\XINT_flexpr_userfunc_sin_\expandafter
{\romannumeral0\XINTinfloat[\XINTdigits]{\xintMul{\xintSub{##1[0]}{.##2}}#1}}%
}%
}\expandafter
\XINT_sind_E\expandafter{\romannumeral`&&@\xintthebarefloateval oneDegree\relax}%
\def\XINT_flexpr_func_cosd_ #1#2#3%
{%
\expandafter #1\expandafter #2\expandafter{%
\romannumeral`&&@\XINT:NEhook:f:one:from:one{\romannumeral`&&@\xintCosd#3}}%
}%
\def\xintCosd#1{\romannumeral`&&@\expandafter\xintcosd
\romannumeral0\XINTinfloatS[\XINTdigits]{#1}}%
\def\xintcosd #1[#2#3]%
{%
\xint_UDsignfork
#2\XINT_cosd
-\XINT_cosd_int
\krof#2#3.#1..%<< attention extra dot
}%
\def\XINT_cosd #1.#2.% NOT TO BE USED WITH VANISHING (OR NEGATIVE) #2.
{%
\expandafter\XINT_cosd_a
\romannumeral0\xinttrunc{\XINTdigits}{#2[#1]}%
}%
\def\XINT_cosd_a{\expandafter\XINT_cosd_i\the\numexpr\XINT_mod_ccclx_i0.}%
\def\XINT_cosd_int
{%
\expandafter\XINT_cosd_i\the\numexpr\expandafter\XINT_mod_ccclx_i
}%
\def\XINT_cosd_i #1.%
{%
\ifcase\numexpr#1/90\relax
\expandafter\XINT_cosd_A
\or\expandafter\XINT_cosd_B\the\numexpr-90+%
\or\expandafter\XINT_cosd_C\the\numexpr-180+%
\or\expandafter\XINT_cosd_D\the\numexpr-270+%
\else\expandafter\XINT_cosd_E\the\numexpr-360+%
\fi#1.%
}%
\def\XINT_cosd_A#1{%
\def\XINT_cosd_A##1.##2.%
{%
\XINT_expr_unlock\expandafter\XINT_flexpr_userfunc_cos_\expandafter
{\romannumeral0\XINTinfloat[\XINTdigits]{\xintMul{##1.##2}#1}}%
}%
}\expandafter
\XINT_cosd_A\expandafter{\romannumeral`&&@\xintthebarefloateval oneDegree\relax}%
\def\XINT_cosd_B#1{\xint_UDsignfork#1\XINT_cosd_B_n-\XINT_cosd_B_p\krof #1}%
\def\XINT_tmpa#1{%
\def\XINT_cosd_B_n-##1.##2.%
{%
\XINT_expr_unlock\expandafter\XINT_flexpr_userfunc_sin_\expandafter
{\romannumeral0\XINTinfloat[\XINTdigits]{\xintMul{\xintSub{##1[0]}{.##2}}#1}}%
}%
\def\XINT_cosd_B_p##1.##2.%
{%
\xintiiopp\XINT_expr_unlock\expandafter\XINT_flexpr_userfunc_sin_\expandafter
{\romannumeral0\XINTinfloat[\XINTdigits]{\xintMul{##1.##2}#1}}%
}%
}\expandafter
\XINT_tmpa\expandafter{\romannumeral`&&@\xintthebarefloateval oneDegree\relax}%
\def\XINT_cosd_C#1{\xint_UDsignfork#1\XINT_cosd_C_n-\XINT_cosd_C_p\krof #1}%
\def\XINT_tmpa#1{%
\def\XINT_cosd_C_n-##1.##2.%
{%
\xintiiopp\XINT_expr_unlock\expandafter\XINT_flexpr_userfunc_cos_\expandafter
{\romannumeral0\XINTinfloat[\XINTdigits]{\xintMul{\xintSub{##1[0]}{.##2}}#1}}%
}%
\def\XINT_cosd_C_p##1.##2.%
{%
\xintiiopp\XINT_expr_unlock\expandafter\XINT_flexpr_userfunc_cos_\expandafter
{\romannumeral0\XINTinfloat[\XINTdigits]{\xintMul{##1.##2}#1}}%
}%
}\expandafter
\XINT_tmpa\expandafter{\romannumeral`&&@\xintthebarefloateval oneDegree\relax}%
\def\XINT_cosd_D#1{\xint_UDsignfork#1\XINT_cosd_D_n-\XINT_cosd_D_p\krof #1}%
\def\XINT_tmpa#1{%
\def\XINT_cosd_D_n-##1.##2.%
{%
\xintiiopp\XINT_expr_unlock\expandafter\XINT_flexpr_userfunc_sin_\expandafter
{\romannumeral0\XINTinfloat[\XINTdigits]{\xintMul{\xintSub{##1[0]}{.##2}}#1}}%
}%
\def\XINT_cosd_D_p##1.##2.%
{%
\XINT_expr_unlock\expandafter\XINT_flexpr_userfunc_sin_\expandafter
{\romannumeral0\XINTinfloat[\XINTdigits]{\xintMul{##1.##2}#1}}%
}%
}\expandafter
\XINT_tmpa\expandafter{\romannumeral`&&@\xintthebarefloateval oneDegree\relax}%
\def\XINT_cosd_E#1{%
\def\XINT_cosd_E-##1.##2.%
{%
\XINT_expr_unlock\expandafter\XINT_flexpr_userfunc_cos_\expandafter
{\romannumeral0\XINTinfloat[\XINTdigits]{\xintMul{\xintSub{##1[0]}{.##2}}#1}}%
}%
}\expandafter
\XINT_cosd_E\expandafter{\romannumeral`&&@\xintthebarefloateval oneDegree\relax}%
\xintdeffloatfunc sind(x) := (x)??
{(x>=-45)?
{sin_(x*oneDegree)}
{-sind_(-x)}
}
{0}
{(x<=45)?
{sin_(x*oneDegree)}
{sind_(x)}
}
;%
\xintdeffloatfunc cosd(x) := (x)??
{(x>=-45)?
{cos_(x*oneDegree)}
{cosd_(-x)}
}
{1}
{(x<=45)?
{cos_(x*oneDegree)}
{cosd_(x)}
}
;%
\xintdeffloatfunc sin(x):= (abs(x)<0.79)?
{sin_(x)}
{(x)??
{-sind_(-x*oneRadian)}
{0}
{sind_(x*oneRadian)}
}
;%
\xintdeffloatfunc cos(x):= (abs(x)<0.79)?
{cos_(x)}
{cosd_(abs(x*oneRadian))}
;%
\xintdeffloatfunc sinc(x):= (abs(x)<0.79) ?
{sin_aux(sqr(x))}
{sind_(abs(x)*oneRadian)/abs(x)}
;%
\xintdeffloatfunc tand(x):= sind(x)/cosd(x);%
\xintdeffloatfunc cotd(x):= cosd(x)/sind(x);%
\xintdeffloatfunc tan(x) := (x)??
{(x>-0.79)?
{sin(x)/cos(x)}
{-cotd(90+x*oneRadian)
}
}
{0}
{(x<0.79)?
{sin(x)/cos(x)}
{cotd(90-x*oneRadian)}
}
;%
\xintdeffloatfunc cot(x) := (abs(x)<0.79)?
{cos(x)/sin(x)}
{(x)??
{-tand(90+x*oneRadian)}
{0}
{tand(90-x*oneRadian)}
};%
\xintdeffloatfunc sec(x) := inv(cos(x));%
\xintdeffloatfunc csc(x) := inv(sin(x));%
\xintdeffloatfunc secd(x):= inv(cosd(x));%
\xintdeffloatfunc cscd(x):= inv(sind(x));%
\xintdeffloatfunc asin_aux(X) := 1
\ifnum\XINTdigits>3 % actually 4 would achieve 1ulp in place of <0.5ulp
+ X(1/6
\ifnum\XINTdigits>9
+ X(3/40
\ifnum\XINTdigits>16
+ X(5/112
\ifnum\XINTdigits>25
+ X(35/1152
\ifnum\XINTdigits>35
+ X(63/2816
\ifnum\XINTdigits>46
+ X(231/13312
)\fi)\fi)\fi)\fi)\fi)\fi;%
\xintdeffloatfunc asin_o(D, T) := T + D*asin_aux(sqr(D));%
\xintdeffloatfunc asin_n(V, T, t, u) :=% V is square of T
asin_o (\xintexpr t*cos_aux(V) - u*T*sin_aux(V)\relax, T);%
\xintdeffloatfunc asin_m(T, t, u) := asin_n(sqr(T), T, t, u);%
\xintdeffloatfunc asin_l(t, u) := asin_m(t*asin_aux(sqr(t)), t, u);%
\xintdeffloatfunc asin_a(t, u) := (t<u)?
{asin_l(t, u)}
{Piover2 - asin_l(u, t)}
;%
\xintdeffloatfunc asind_a(t, u):= (t<u)?
{asin_l(t, u) * oneRadian}
{90 - asin_l(u, t) * oneRadian}
;%
\xintdeffloatfunc asin(t) := (t)??
{-asin_a(-t, sqrt_(1-sqr(t)))}
{0}
{asin_a(t, sqrt_(1-sqr(t)))}
;%
\xintdeffloatfunc asind(t) := (t)??
{-asind_a(-t, sqrt_(1-sqr(t)))}
{0}
{asind_a(t, sqrt_(1-sqr(t)))}
;%
\xintdeffloatfunc acos(t) := Piover2 - asin(t);%
\xintdeffloatfunc acosd(t):= 90 - asind(t);%
\xintdeffloatfunc atan_b(t, w, z):= 0.5 * (w< 0)?
{Pi - asin_a(2z * t, -w*z)}
{asin_a(2z * t, w*z)}
;%
\xintdeffloatfunc atan_a(t, T) := atan_b(t, 1-T, inv(1+T));%
\xintdeffloatfunc atan(t):= (t)??
{-atan_a(-t, sqr(t))}
{0}
{atan_a(t, sqr(t))}
;%
\xintdeffloatfunc atand_b(t, w, z) := 0.5 * (w< 0)?
{180 - asind_a(2z * t, -w*z)}
{asind_a(2z * t, w*z)}
;%
\xintdeffloatfunc atand_a(t, T) := atand_b(t, 1-T, inv(1+T));%
\xintdeffloatfunc atand(t) := (t)??
{-atand_a(-t, sqr(t))}
{0}
{atand_a(t, sqr(t))}
;%
\xintdeffloatfunc Arg(x, y):= (y>x)?
{(y>-x)?
{Piover2 - atan(x/y)}
{(y<0)?
{-Pi + atan(y/x)}
{Pi + atan(y/x)}
}
}
{(y>-x)?
{atan(y/x)}
{-Piover2 + atan(x/-y)}
}
;%
\xintdeffloatfunc atan2(y,x) := Arg(x, y);%
\xintdeffloatfunc Argd(x, y):= (y>x)?
{(y>-x)?
{90 - atand(x/y)}
{(y<0)?
{-180 + atand(y/x)}
{180 + atand(y/x)}
}
}
{(y>-x)?
{atand(y/x)}
{-90 + atand(x/-y)}
}
;%
\xintdeffloatfunc atan2d(y,x) := Argd(x, y);%
\xintdeffloatfunc pArg(x, y):= (y>x)?
{(y>-x)?
{Piover2 - atan(x/y)}
{Pi + atan(y/x)}
}
{(y>-x)?
{(y<0)?
{twoPi + atan(y/x)}
{atan(y/x)}
}
{threePiover2 + atan(x/-y)}
}
;%
\xintdeffloatfunc pArgd(x, y):=(y>x)?
{(y>-x)?
{90 - atan(x/y)*oneRadian}
{180 + atan(y/x)*oneRadian}
}
{(y>-x)?
{(y<0)?
{360 + atan(y/x)*oneRadian}
{atan(y/x)*oneRadian}
}
{270 + atan(x/-y)*oneRadian}
}
;%
\expandafter\let\csname XINT_flexpr_func_tg\expandafter\endcsname
\csname XINT_flexpr_func_tan\endcsname
\expandafter\let\csname XINT_flexpr_func_cotg\expandafter\endcsname
\csname XINT_flexpr_func_cot\endcsname
\xintFor #1 in {sin, cos, tan, sec, csc, cot,
asin, acos, atan}\do
{%
\xintdeffunc #1(x) := \xintfloatexpr #1(sfloat(x))\relax;%
\xintdeffunc #1d(x):= \xintfloatexpr #1d(sfloat(x))\relax;%
}%
\xintFor #1 in {Arg, pArg, atan2}\do
{%
\xintdeffunc #1(x, y) := \xintfloatexpr #1(sfloat(x), sfloat(y))\relax;%
\xintdeffunc #1d(x, y):= \xintfloatexpr #1d(sfloat(x), sfloat(y))\relax;%
}%
\xintdeffunc tg(x) := \xintfloatexpr tg(sfloat(x))\relax;%
\xintdeffunc cotg(x):= \xintfloatexpr cotg(sfloat(x))\relax;%
\xintdeffunc sinc(x):= \xintfloatexpr sinc(sfloat(x))\relax;%
\xintFor* #1 in {iDTVtuwxyzX}\do{\xintrestorevariable{#1}}%
\endinput
%%
%% End of file `xinttrig.sty'.
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