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%!ps % PostScript prologue for pst-coil.tex. % Version 1.06, 2011/09/18 % For distribution, see pstricks.tex. % /tx@CoilDict 40 dict def tx@CoilDict begin /CoilLoop { /t ED t sin AspectSin mul t 180 div AspectCos mul add t cos lineto } def /Coil { /Inc ED dup sin /AspectSin ED cos /AspectCos ED /ArmB ED /ArmA ED /h ED /w ED /y1 ED /x1 ED /y0 ED /x0 ED x0 y0 translate y1 y0 sub x1 x0 sub 2 copy Pyth /TotalLength ED Atan rotate /BeginAngle ArmA AspectCos Div w h mul Div 360 mul def /EndAngle TotalLength ArmB sub AspectCos Div w h mul Div 360 mul def 1 0 0 0 ArrowA ArmA 0 lineto /mtrx CM def w h mul 2 Div w 2 Div scale BeginAngle Inc EndAngle { CoilLoop } for EndAngle CoilLoop mtrx setmatrix TotalLength ArmB sub 0 lineto CP % DG/SR modification begin - Jun. 2, 1998 - Patch 1 (from Michael Vulis) % TotalLength 0 ArrowB lineto } def TotalLength 0 ArrowB lineto pop pop pop pop } def % DG/SR modification end % /Sin { /Func ED /PointsPerPeriod ED /ArmB ED /ArmA ED /Amplitude ED /roundValue ED /relativePeriod ED /Periods ED /y1 ED /x1 ED /y0 ED /x0 ED x0 y0 translate y1 y0 sub x1 x0 sub 2 copy Pyth dup /TotalLength ED ArmA sub ArmB sub /SinLength ED Atan rotate 1 0 0 0 ArrowA ArmA 0 lineto /mtrx CM def relativePeriod {} { SinLength Periods div roundValue dup 0 eq { pop cvi } { 1 eq { round } if } ifelse /Periods ED } ifelse /dxStep SinLength 360 div def % the default step for x pos /xStep 360 PointsPerPeriod div def % the step for the for loop 1 xStep 360 { % PointsPerPeriod times dup dxStep mul ArmA add exch % x pos and value for the func Periods mul Func Amplitude mul lineto } for mtrx setmatrix TotalLength ArmB sub 0 lineto CP TotalLength 0 ArrowB lineto pop pop pop pop } def % /AltCoil { /Inc ED dup sin /AspectSin ED cos /AspectCos ED /h ED /w ED /EndAngle ED /BeginAngle ED /mtrx CM def w h mul 2 Div w 2 Div scale BeginAngle sin AspectSin mul BeginAngle 180 div AspectCos mul add BeginAngle cos /lineto load stopped { moveto } if BeginAngle Inc EndAngle { CoilLoop } for EndAngle CoilLoop mtrx setmatrix } def /ZigZag { 15 dict begin /ArmB ED /ArmA ED 2 div /w ED w mul /h ED /y1 ED /x1 ED /y0 ED /x0 ED x1 y1 translate y0 y1 sub x0 x1 sub 2 copy Pyth /TotalLength ED Atan rotate TotalLength ArmA sub ArmB sub dup h div cvi /n ED n h mul sub 2 div dup ArmA add /ArmA ED ArmB add /ArmB ED /x ArmB h 2 div add def mark 0 0 ArmB 0 n { x w /w w neg def /x x h add def } repeat TotalLength ArmA sub 0 TotalLength 0 end } def % /ZigZagCirc { % x0 y0 x1 y1 bow h w ArmA ArmB on stack /bow ED /ArmB ED /ArmA ED 2 div /w ED w mul /h ED /y1 ED /x1 ED /y0 ED /x0 ED x1 y1 translate % y0 y1 sub x0 x1 sub 2 copy Pyth 2 div /HalfLength ED Atan /ang ED %angle of A relative to B %rotate % so end B is origin and BA is horizontal, A to right /theta bow abs HalfLength Atan 2 mul def %halfangular sector for arc /theta2 theta 2 mul def % full arc %/psi ang 90 sub theta sub def % angle of B from center if bow>0 /rho HalfLength theta sin div def % radius of circle bow 0 gt { /direc 1 def /thetaB ang 90 sub theta sub def } % travel B to A in pos drn { /direc -1 def /thetaB ang 90 add theta add def } ifelse % travel B to A in neg drn %thetaB=angle from center to B rho thetaB 180 add PtoC translate % origin now at center /h h rho div RadtoDeg def /ArmA ArmA rho div RadtoDeg def /ArmB ArmB rho div RadtoDeg def theta2 ArmA sub ArmB sub dup h div cvi /n ED n h mul %HalfLength 2 mul ArmA sub ArmB sub dup h div cvi /n ED n h mul sub 2 div dup ArmA add /ArmA ED ArmB add /ArmB ED /h h direc mul def % h is now angle increment for half-period /rhoo rho w add def /rhoi rho w sub def % outer and inner radii /arg thetaB ArmB direc mul add def % argument for 2nd point % thetaB = direc = bow = HalfLength = theta = rho = arg = h = n = mark rho thetaB PtoC rho arg PtoC /arg arg h 2 div add def n { w 0 gt { rhoo }{ rhoi } ifelse arg PtoC /w w neg def /arg arg h add def } repeat rho thetaB theta2 ArmA sub direc mul add PtoC rho thetaB theta2 direc mul add PtoC } def % end % END pst-coil.pro