%% tikzlibrarytikzphysics.mechanics.code.tex
%% -----------------------------------------------------------
%% Mechanics module for tikzphysics.
%%
%% Native mechanics primitives and connections:
%%   - physicsblock  : simple rectangular block style
%%   - physicspulley : circle with optional axle-dot
%%   - spring        : configurable coil path style
%%   - \physicsstringoverpulley : tangent string segments plus circular wrap
%%
%% Also provides particle/disk/ring nodes, vector/rod styles, support and
%% pendulum pics, and the native over-pulley to path.
%%
%% Internal namespace : \tikzphysics@mech@...
%% Requires           : tikz, calc, tikzphysics.core
%%
%% Author  : Vaibhav Blayer
%% Version : v1.2.0 (2026-09-05)
%% License : LPPL 1.3c
%% -----------------------------------------------------------

\usetikzlibrary{calc,decorations.pathmorphing}
\usetikzlibrary{tikzphysics.core}

\makeatletter

\tikzphysics@declarehook{block}
\tikzphysics@declarehook{pulley}
\tikzphysics@declarehook{spring}
\tikzphysics@declarehook{rope}

%% ============================================================
%%  INTERNAL STATE
%% ============================================================

\def\tikzphysics@mech@pulleycenterfill{2pt}
\def\tikzphysics@mech@pulleycenterfillcolor{black}
\def\tikzphysics@mech@stringstartsolution{2}
\def\tikzphysics@mech@stringendsolution{1}
\def\tikzphysics@mech@stringdelta{-(Mod(\n1-\n2,360))}
\newdimen\tikzphysics@mech@springkeydim

%% Optional command arguments are often split over lines. Trim only their
%% leading/trailing spaces before handing the unchanged key list to TikZ.
\ExplSyntaxOn
\cs_new_protected:Npn \tikzphysics_mech_tikzset_trim:n #1
  {
    \tl_set:Nn \l_tmpa_tl {#1}
    \tl_trim_spaces:N \l_tmpa_tl
    \exp_args:NV \tikzset \l_tmpa_tl
  }
\cs_new_eq:NN \tikzphysics@mech@tikzsettrim \tikzphysics_mech_tikzset_trim:n
\ExplSyntaxOff

%% ============================================================
%%  TIKZ KEYS (scoped, unit-aware)
%% ============================================================

\tikzset{
  %% ---- block sizing ----
  physics block width/.code  = {\tikzphysics@length@keyhandler{/pgf/minimum width}{#1}},
  physics block height/.code = {\tikzphysics@length@keyhandler{/pgf/minimum height}{#1}},
  block width/.style  = {physics block width={#1}},
  block height/.style = {physics block height={#1}},
  %% ---- pulley sizing ----
  physics pulley diameter/.code = {\tikzphysics@length@keyhandler{/pgf/minimum size}{#1}},
  pulley diameter/.style = {physics pulley diameter={#1}},
  %% ---- spring geometry ----
  physics spring pre length/.code={%
    \tikzphysics@resolve@nonnegative{\tikzphysics@mech@springkeydim}{#1}%
    \pgfkeysalso{/pgf/decoration/pre length={\the\tikzphysics@mech@springkeydim}}},
  physics spring post length/.code={%
    \tikzphysics@resolve@nonnegative{\tikzphysics@mech@springkeydim}{#1}%
    \pgfkeysalso{/pgf/decoration/post length={\the\tikzphysics@mech@springkeydim}}},
  physics spring amplitude/.code={%
    \tikzphysics@resolve@length{\tikzphysics@mech@springkeydim}{#1}%
    \pgfkeysalso{/pgf/decoration/amplitude={\the\tikzphysics@mech@springkeydim}}},
  physics spring segment length/.code={%
    \tikzphysics@resolve@length{\tikzphysics@mech@springkeydim}{#1}%
    \pgfkeysalso{/pgf/decoration/segment length={\the\tikzphysics@mech@springkeydim}}},
  physics spring aspect/.style={/pgf/decoration/aspect={#1}},
  pre length/.style={physics spring pre length={#1}},
  post length/.style={physics spring post length={#1}},
  amplitude/.style={physics spring amplitude={#1}},
  segment length/.style={physics spring segment length={#1}},
  aspect/.style={physics spring aspect={#1}},
  %% ---- pulley axle-dot ----
  physics pulley axle radius/.code = {\def\tikzphysics@mech@pulleycenterfill{#1}},
  physics pulley axle color/.code  = {\def\tikzphysics@mech@pulleycenterfillcolor{#1}},
  pulley axle radius/.style = {physics pulley axle radius={#1}},
  pulley axle color/.style  = {physics pulley axle color={#1}},
  physics pulley axle radius       = 2pt,
  physics pulley axle color        = black,
  %% ---- tangent string construction ----
  physics string start solution/.code = {\def\tikzphysics@mech@stringstartsolution{#1}},
  physics string end solution/.code   = {\def\tikzphysics@mech@stringendsolution{#1}},
  physics string wrap/.is choice,
  physics string wrap/clockwise/.code = {\def\tikzphysics@mech@stringdelta{-(Mod(\n1-\n2,360))}},
  physics string wrap/counterclockwise/.code = {\def\tikzphysics@mech@stringdelta{Mod(\n2-\n1,360)}},
  physics string wrap/shortest/.code = {\def\tikzphysics@mech@stringdelta{Mod(\n2-\n1+180,360)-180}},
  %% Named routes for the common case in which the first endpoint lies
  %% generally to the left of the pulley and the second lies to its right.
  %% The explicit solution/wrap keys remain available for every orientation.
  physics string route/.is choice,
  physics string route/over/.style={
    physics string start solution=2,
    physics string end solution=1,
    physics string wrap=clockwise,
  },
  physics string route/under/.style={
    physics string start solution=1,
    physics string end solution=2,
    physics string wrap=counterclockwise,
  },
  physics string route/surface-right/.style={
    physics string start solution=2,
    physics string end solution=1,
    physics string wrap=clockwise,
  },
  physics string route/shortest/.style={physics string wrap=shortest},
  string start solution/.style={physics string start solution={#1}},
  string end solution/.style={physics string end solution={#1}},
  string wrap/.style={physics string wrap={#1}},
  string route/.style={physics string route={#1}},
  physics string/.style={line width=0.5pt,
    every physics connection, every rope,
  },
}

%% ============================================================
%%  BLOCK AND PULLEY SHAPES; SPRING PATH STYLE
%% ============================================================

\tikzset{
  physicsblock/.style={
    shape=rectangle,
    physics logical shape=physicsblock,
    draw=black,
    line width=0.5pt,
    fill=none,
    inner sep=0pt,
    outer sep=0pt,
    minimum width=1cm,
    minimum height=1cm,
    physics debug setup, every physics object, every block,
  },
  physicspulley/.style={
    shape=circle,
    physics logical shape=physicspulley,
    draw=black,
    line width=0.5pt,
    fill=none,
    inner sep=0pt,
    outer sep=0pt,
    minimum size=1cm,
    path picture={%
      \def\tikzphysics@mech@pulley@none{none}%
      \ifx\tikzphysics@mech@pulleycenterfill\tikzphysics@mech@pulley@none\relax
      \else
        \fill[\tikzphysics@mech@pulleycenterfillcolor]
          (path picture bounding box.center)
          circle[radius=\tikzphysics@mech@pulleycenterfill];%
      \fi
    },
    physics debug setup, every physics object, every pulley,
  },
  physics spring/.style={
    draw=black,
    line width=0.5pt,
    decorate,
    decoration={
      coil,
      pre length=5pt,
      post length=5pt,
      amplitude=4.5pt,
      segment length=4.5pt,
      aspect=0.5,
    },
    every physics connection, every spring,
  },
  physicsspring/.style={physics spring},
}

%% Short public names; use the physics-prefixed forms if a document already
%% defines generic block, pulley, or spring styles.
\tikzset{
  block/.style={physicsblock},
  pulley/.style={physicspulley},
  spring/.style={physics spring},
}

%% ============================================================
%%  TANGENT STRING OVER A PULLEY
%%
%%  Usage:
%%    \physicsstringoverpulley[<TikZ options>]{<start>}{<pulley>}{<end>}
%%
%%  The start and end arguments are coordinate names without parentheses;
%%  the pulley argument is the name of a physicspulley node. The two straight
%%  portions terminate at exact tangent points computed by TikZ's calc
%%  library. Between them, the path follows the pulley's true circular arc.
%%
%%  The default surface-right route (solutions 2/1, clockwise wrap) matches a
%%  block approaching parallel to a horizontal or rising surface. The string
%%  passes over the pulley's upper rim before descending on its right. The
%%  three component keys remain available for other configurations.
%% ============================================================

%% The native to path is shared by the compatibility command. TikZ supplies
%% the resolved start/target coordinates, so ordinary coordinate expressions
%% and node labels work without a new drawing language.
\tikzset{
  rope/.style={physics string},
  physics over pulley/.style={to path={
    let
      \p1=(tangent cs:node=#1,point={(\tikztostart)},solution=\tikzphysics@mech@stringstartsolution),
      \p2=(#1.center),
      \p3=(tangent cs:node=#1,point={(\tikztotarget)},solution=\tikzphysics@mech@stringendsolution),
      \n1={atan2(\y1-\y2,\x1-\x2)},
      \n2={atan2(\y3-\y2,\x3-\x2)},
      \n3={veclen(\x1-\x2,\y1-\y2)},
      \n4={\tikzphysics@mech@stringdelta}
    in
      (\tikztostart) -- (\p1)
      arc[start angle=\n1,delta angle=\n4,radius=\n3]
      -- (\tikztotarget) \tikztonodes
  }},
  physics over pulley/.value required,
  over pulley/.style={physics over pulley={#1}},
  over pulley/.value required,
}

\newcommand{\physicsstringoverpulley}[4][]{%
  \begin{scope}[physics string]
    \tikzphysics@mech@tikzsettrim{#1}%
    \draw (#2) to[physics over pulley=#3] (#4);
  \end{scope}%
}

%% ============================================================
%%  ANCHOR AND KEY REGISTRATION (for debug overlays)
%%
%%  physicsblock and physicspulley are thin styles over rectangle and
%%  circle, so we register a curated list of anchors that are
%%  most useful in mechanics diagrams.
%% ============================================================

\tikzphysics@registeranchors{physicsblock}{%
  center, north, south, east, west,
  north east, north west, south east, south west}

\tikzphysics@registeranchors{physicspulley}{%
  center, north, south, east, west,
  north east, north west, south east, south west}

\tikzphysics@registerdisplayname{physicsblock}{block}
\tikzphysics@registerdisplayname{physicspulley}{pulley}

\tikzphysics@registerkeys{physicsblock}{%
  minimum width, minimum height}
\tikzphysics@registerkeydefaults{physicsblock}{%
  minimum width/1cm, minimum height/1cm}

\tikzphysics@registerkeys{physicspulley}{%
  minimum size, pulley axle radius, pulley axle color}
\tikzphysics@registerkeydefaults{physicspulley}{%
  minimum size/1cm, pulley axle radius/2pt, pulley axle color/black}

\tikzset{
  physics block width/.value required,
  physics block height/.value required,
  physics pulley diameter/.value required,
  physics pulley axle radius/.value required,
  physics pulley axle color/.value required,
  physics string start solution/.value required,
  physics string end solution/.value required,
  physics string route/.value required,
  physics string wrap/.value required,
  physics spring pre length/.value required,
  physics spring post length/.value required,
  physics spring amplitude/.value required,
  physics spring segment length/.value required,
  physics spring aspect/.value required,
}


%% ============================================================
%% MECHANICS PRIMITIVES: NODES, PATH STYLES, AND NAMED PICS
%% ============================================================
\tikzphysics@declarehook{particle}
\tikzphysics@declarehook{disk}
\tikzphysics@declarehook{ring}
\tikzphysics@declarehook{force}
\tikzphysics@declarehook{velocity}
\tikzphysics@declarehook{acceleration}
\tikzphysics@declarehook{torque}
\tikzphysics@declarehook{rod}
\tikzphysics@declarehook{support}
\tikzphysics@declarehook{pendulum}

\tikzset{
  physicsparticle/.style={circle,draw=black,fill=black,
    inner sep=0pt,outer sep=0pt,minimum size=3mm,
    physics logical shape=physicsparticle,
    physics debug setup, every physics object,every particle},
  physicsdisk/.style={circle,draw=black,fill=white,line width=.5pt,
    inner sep=0pt,outer sep=0pt,minimum size=15mm,
    physics logical shape=physicsdisk,
    physics debug setup, every physics object,every disk},
  physicsring/.style={circle,draw=black,fill=none,line width=1pt,
    inner sep=0pt,outer sep=0pt,minimum size=15mm,
    physics logical shape=physicsring,
    physics debug setup, every physics object,every ring},
  particle/.style={physicsparticle},
  disk/.style={physicsdisk},
  ring/.style={physicsring},
  physics force/.style={draw=black,-latex,line width=.7pt,
    every physics connection,every force},
  physics velocity/.style={draw=black,-latex,line width=.6pt,
    every physics connection,every velocity},
  physics acceleration/.style={draw=black,-latex,line width=.6pt,
    every physics connection,every acceleration},
  physics torque/.style={draw=black,-latex,line width=.7pt,
    every physics connection,every torque},
  physics rod/.style={draw=black,line width=2pt,line cap=round,
    every physics connection,every rod},
  force/.style={physics force},
  velocity/.style={physics velocity},
  acceleration/.style={physics acceleration},
  torque/.style={physics torque},
  rod/.style={physics rod},
  support size/.initial=6mm,
  support size/.value required,
  physics support size/.style={support size={#1}},
  pendulum length/.initial=2cm,
  pendulum length/.value required,
  pendulum angle/.initial=30,
  pendulum angle/.value required,
  physics pendulum length/.style={pendulum length={#1}},
  physics pendulum angle/.style={pendulum angle={#1}},
  pics/pin-support/.style={/tikz/.cd,every support,/tikz/pics/code={
    \tikzphysics@resolve@length{\@tempdima}{\pgfkeysvalueof{/tikz/support size}}%
    \edef\tikzphysics@mech@supportsize{\the\@tempdima}%
    \coordinate (-pivot) at (0,0);
    \coordinate (-base) at (0,-\tikzphysics@mech@supportsize);
    \coordinate (-left) at (-.5*\tikzphysics@mech@supportsize,-\tikzphysics@mech@supportsize);
    \coordinate (-right) at (.5*\tikzphysics@mech@supportsize,-\tikzphysics@mech@supportsize);
    \draw (0,0) -- (-left) -- (-right) -- cycle;
    \draw (-.7*\tikzphysics@mech@supportsize,-\tikzphysics@mech@supportsize)
      -- (.7*\tikzphysics@mech@supportsize,-\tikzphysics@mech@supportsize);
  }},
  pics/roller-support/.style={/tikz/.cd,every support,/tikz/pics/code={
    \tikzphysics@resolve@length{\@tempdima}{\pgfkeysvalueof{/tikz/support size}}%
    \edef\tikzphysics@mech@supportsize{\the\@tempdima}%
    \coordinate (-pivot) at (0,0);
    \coordinate (-base) at (0,-\tikzphysics@mech@supportsize);
    \coordinate (-left) at (-.5*\tikzphysics@mech@supportsize,-.7*\tikzphysics@mech@supportsize);
    \coordinate (-right) at (.5*\tikzphysics@mech@supportsize,-.7*\tikzphysics@mech@supportsize);
    \draw (0,0) -- (-left) -- (-right) -- cycle;
    \draw (-.3*\tikzphysics@mech@supportsize,-.85*\tikzphysics@mech@supportsize)
      circle[radius=.15*\tikzphysics@mech@supportsize];
    \draw (.3*\tikzphysics@mech@supportsize,-.85*\tikzphysics@mech@supportsize)
      circle[radius=.15*\tikzphysics@mech@supportsize];
    \draw (-.7*\tikzphysics@mech@supportsize,-\tikzphysics@mech@supportsize)
      -- (.7*\tikzphysics@mech@supportsize,-\tikzphysics@mech@supportsize);
  }},
  pics/pendulum/.style={/tikz/.cd,every pendulum,/tikz/pics/code={
    \tikzphysics@resolve@length{\@tempdima}{\pgfkeysvalueof{/tikz/pendulum length}}%
    \edef\tikzphysics@mech@pendulumlength{\the\@tempdima}%
    \coordinate (-pivot) at (0,0);
    \node[physicsparticle] (-bob) at
      ({\pgfkeysvalueof{/tikz/pendulum angle}-90}:\tikzphysics@mech@pendulumlength) {};
    \draw[physics string] (-pivot) -- (-bob);
  }},
  pics/physics pin-support/.style={pin-support},
  pics/physics roller-support/.style={roller-support},
  pics/physics pendulum/.style={pendulum},
}

\tikzphysics@registeranchors{physicsparticle}{center,north,south,east,west}
\tikzphysics@registeranchors{physicsdisk}{center,north,south,east,west}
\tikzphysics@registeranchors{physicsring}{center,north,south,east,west}
\tikzphysics@registerdisplayname{physicsparticle}{particle}
\tikzphysics@registerdisplayname{physicsdisk}{disk}
\tikzphysics@registerdisplayname{physicsring}{ring}
\tikzphysics@registerkeys{physicsparticle}{minimum size}
\tikzphysics@registerkeys{physicsdisk}{minimum size}
\tikzphysics@registerkeys{physicsring}{minimum size}
\tikzphysics@registerkeydefaults{physicsparticle}{minimum size/3mm}
\tikzphysics@registerkeydefaults{physicsdisk}{minimum size/15mm}
\tikzphysics@registerkeydefaults{physicsring}{minimum size/15mm}

\tikzphysics@registerdisplayname{physicsspring}{spring}
\tikzphysics@registerkeydefaults{physicsspring}{pre length/5pt,post length/5pt,amplitude/4.5pt,segment length/4.5pt,aspect/0.5}
\tikzphysics@registerdisplayname{physicsrope}{rope}
\tikzphysics@registerkeydefaults{physicsrope}{line width/0.5pt,over pulley/required node name,string route/surface-right,string start solution/2,string end solution/1,string wrap/clockwise}
\tikzphysics@registerdisplayname{physicsforce}{force}
\tikzphysics@registerkeydefaults{physicsforce}{line width/0.7pt}
\tikzphysics@registerdisplayname{physicsvelocity}{velocity}
\tikzphysics@registerkeydefaults{physicsvelocity}{line width/0.6pt}
\tikzphysics@registerdisplayname{physicsacceleration}{acceleration}
\tikzphysics@registerkeydefaults{physicsacceleration}{line width/0.6pt}
\tikzphysics@registerdisplayname{physicstorque}{torque}
\tikzphysics@registerkeydefaults{physicstorque}{line width/0.7pt}
\tikzphysics@registerdisplayname{physicsrod}{rod}
\tikzphysics@registerkeydefaults{physicsrod}{line width/2pt}
\tikzphysics@registerdisplayname{physicspinsupport}{pin-support}
\tikzphysics@registerkeydefaults{physicspinsupport}{support size/6mm}
\tikzphysics@registerdisplayname{physicsrollersupport}{roller-support}
\tikzphysics@registerkeydefaults{physicsrollersupport}{support size/6mm}
\tikzphysics@registerdisplayname{physicspendulum}{pendulum}
\tikzphysics@registerkeydefaults{physicspendulum}{pendulum length/2cm,pendulum angle/30 degrees}
\tikzset{
  physics block width/.value required,
  physics block height/.value required,
  physics pulley diameter/.value required,
  physics spring pre length/.value required,
  physics spring post length/.value required,
  physics spring amplitude/.value required,
  physics spring segment length/.value required,
  physics pulley axle radius/.value required,
  physics pulley axle color/.value required,
  physics string start solution/.value required,
  physics string end solution/.value required,
}
\makeatother
\endinput
%%
%% End of file `tikzlibrarytikzphysics.mechanics.code.tex'.