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377 lines
10 KiB
Lua
377 lines
10 KiB
Lua
--[[ $Id: x28.lua 10710 2009-12-08 06:51:27Z airwin $
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pl.mtex3, plptex3 demo.
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Copyright (C) 2009 Werner Smekal
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This file is part of PLplot.
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PLplot is free software you can redistribute it and/or modify
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it under the terms of the GNU General Library Public License as published
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by the Free Software Foundation either version 2 of the License, or
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(at your option) any later version.
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PLplot is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU Library General Public License for more details.
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You should have received a copy of the GNU Library General Public License
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along with PLplot if not, write to the Free Software
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Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
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--]]
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-- initialise Lua bindings for PLplot examples.
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dofile("plplot_examples.lua")
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-- Choose these values to correspond to tick marks.
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XPTS = 2
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YPTS = 2
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NREVOLUTION = 16
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NROTATION = 8
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NSHEAR = 8
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----------------------------------------------------------------------------
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-- main
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--
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-- Demonstrates plotting text in 3D.
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----------------------------------------------------------------------------
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xmin=0
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xmax=1
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xmid = 0.5*(xmax + xmin)
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xrange = xmax - xmin
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ymin=0
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ymax=1
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ymid = 0.5*(ymax + ymin)
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yrange = ymax - ymin
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zmin=0
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zmax=1
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zmid = 0.5*(zmax + zmin)
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zrange = zmax - zmin
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ysmin = ymin + 0.1 * yrange
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ysmax = ymax - 0.1 * yrange
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ysrange = ysmax - ysmin
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dysrot = ysrange / ( NROTATION - 1 )
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dysshear = ysrange / ( NSHEAR - 1 )
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zsmin = zmin + 0.1 * zrange
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zsmax = zmax - 0.1 * zrange
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zsrange = zsmax - zsmin
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dzsrot = zsrange / ( NROTATION - 1 )
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dzsshear = zsrange / ( NSHEAR - 1 )
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pstring = "The future of our civilization depends on software freedom."
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-- Allocate and define the minimal x, y, and z to insure 3D box
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x = {}
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y = {}
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z = {}
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for i = 1, XPTS do
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x[i] = xmin + (i-1) * (xmax-xmin)/(XPTS-1)
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end
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for j = 1, YPTS do
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y[j] = ymin + (j-1) * (ymax-ymin)/(YPTS-1)
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end
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for i = 1, XPTS do
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z[i] = {}
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for j = 1, YPTS do
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z[i][j] = 0
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end
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end
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-- Parse and process command line arguments
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pl.parseopts(arg, pl.PL_PARSE_FULL)
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pl.init()
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-- Page 1: Demonstrate inclination and shear capability pattern.
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pl.adv(0)
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pl.vpor(-0.15, 1.15, -0.05, 1.05)
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pl.wind(-1.2, 1.2, -0.8, 1.5)
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pl.w3d(1, 1, 1, xmin, xmax, ymin, ymax, zmin, zmax, 20, 45)
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pl.col0(2)
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pl.box3("b", "", xmax-xmin, 0,
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"b", "", ymax-ymin, 0,
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"bcd", "", zmax-zmin, 0)
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-- z = zmin.
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pl.schr(0, 1)
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for i = 1, NREVOLUTION do
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omega = 2*math.pi*(i-1)/NREVOLUTION
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sin_omega = math.sin(omega)
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cos_omega = math.cos(omega)
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x_inclination = 0.5*xrange*cos_omega
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y_inclination = 0.5*yrange*sin_omega
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z_inclination = 0
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x_shear = -0.5*xrange*sin_omega
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y_shear = 0.5*yrange*cos_omega
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z_shear = 0
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pl.ptex3( xmid, ymid, zmin, x_inclination, y_inclination, z_inclination,
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x_shear, y_shear, z_shear, 0, " revolution")
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end
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-- x = xmax.
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pl.schr(0, 1)
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for i = 1, NREVOLUTION do
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omega = 2.*math.pi*(i-1)/NREVOLUTION
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sin_omega = math.sin(omega)
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cos_omega = math.cos(omega)
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x_inclination = 0.
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y_inclination = -0.5*yrange*cos_omega
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z_inclination = 0.5*zrange*sin_omega
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x_shear = 0
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y_shear = 0.5*yrange*sin_omega
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z_shear = 0.5*zrange*cos_omega
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pl.ptex3(xmax, ymid, zmid, x_inclination, y_inclination, z_inclination,
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x_shear, y_shear, z_shear, 0, " revolution")
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end
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-- y = ymax.
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pl.schr(0, 1)
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for i = 1, NREVOLUTION do
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omega = 2.*math.pi*(i-1)/NREVOLUTION
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sin_omega = math.sin(omega)
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cos_omega = math.cos(omega)
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x_inclination = 0.5*xrange*cos_omega
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y_inclination = 0.
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z_inclination = 0.5*zrange*sin_omega
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x_shear = -0.5*xrange*sin_omega
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y_shear = 0.
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z_shear = 0.5*zrange*cos_omega
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pl.ptex3(xmid, ymax, zmid, x_inclination, y_inclination, z_inclination,
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x_shear, y_shear, z_shear, 0, " revolution")
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end
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-- Draw minimal 3D grid to finish defining the 3D box.
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pl.mesh(x, y, z, pl.DRAW_LINEXY)
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-- Page 2: Demonstrate rotation of string around its axis.
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pl.adv(0)
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pl.vpor(-0.15, 1.15, -0.05, 1.05)
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pl.wind(-1.2, 1.2, -0.8, 1.5)
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pl.w3d(1, 1, 1, xmin, xmax, ymin, ymax, zmin, zmax, 20, 45)
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pl.col0(2)
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pl.box3("b", "", xmax-xmin, 0,
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"b", "", ymax-ymin, 0,
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"bcd", "", zmax-zmin, 0)
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-- y = ymax.
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pl.schr(0, 1)
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x_inclination = 1
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y_inclination = 0
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z_inclination = 0
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x_shear = 0
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for i = 1, NROTATION do
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omega = 2.*math.pi*(i-1)/NROTATION
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sin_omega = math.sin(omega)
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cos_omega = math.cos(omega)
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y_shear = 0.5*yrange*sin_omega
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z_shear = 0.5*zrange*cos_omega
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zs = zsmax - dzsrot * (i-1)
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pl.ptex3(xmid, ymax, zs,
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x_inclination, y_inclination, z_inclination,
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x_shear, y_shear, z_shear,
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0.5, "rotation for y = y#dmax#u")
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end
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-- x = xmax.
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pl.schr(0, 1)
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x_inclination = 0
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y_inclination = -1
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z_inclination = 0
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y_shear = 0
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for i = 1, NROTATION do
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omega = 2.*math.pi*(i-1)/NROTATION
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sin_omega = math.sin(omega)
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cos_omega = math.cos(omega)
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x_shear = 0.5*xrange*sin_omega
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z_shear = 0.5*zrange*cos_omega
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zs = zsmax - dzsrot * (i-1)
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pl.ptex3(xmax, ymid, zs,
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x_inclination, y_inclination, z_inclination,
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x_shear, y_shear, z_shear,
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0.5, "rotation for x = x#dmax#u")
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end
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-- z = zmin.
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pl.schr(0, 1)
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x_inclination = 1
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y_inclination = 0
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z_inclination = 0
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x_shear = 0
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for i = 1, NROTATION do
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omega = 2.*math.pi*(i-1)/NROTATION
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sin_omega = math.sin(omega)
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cos_omega = math.cos(omega)
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y_shear = 0.5*yrange*cos_omega
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z_shear = 0.5*zrange*sin_omega
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ys = ysmax - dysrot * (i-1)
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pl.ptex3(xmid, ys, zmin,
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x_inclination, y_inclination, z_inclination,
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x_shear, y_shear, z_shear,
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0.5, "rotation for z = z#dmin#u")
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end
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-- Draw minimal 3D grid to finish defining the 3D box.
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pl.mesh(x, y, z, pl.DRAW_LINEXY)
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-- Page 3: Demonstrate shear of string along its axis.
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-- Work around xcairo and pngcairo (but not pscairo) problems for
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-- shear vector too close to axis of string. (N.B. no workaround
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-- would be domega = 0.)
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domega = 0.05
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pl.adv(0)
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pl.vpor(-0.15, 1.15, -0.05, 1.05)
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pl.wind(-1.2, 1.2, -0.8, 1.5)
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pl.w3d(1, 1, 1, xmin, xmax, ymin, ymax, zmin, zmax, 20, 45)
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pl.col0(2)
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pl.box3("b", "", xmax-xmin, 0,
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"b", "", ymax-ymin, 0,
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"bcd", "", zmax-zmin, 0)
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-- y = ymax.
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pl.schr(0, 1)
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x_inclination = 1
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y_inclination = 0
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z_inclination = 0
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y_shear = 0
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for i = 1, NSHEAR do
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omega = domega + 2.*math.pi*(i-1)/NSHEAR
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sin_omega = math.sin(omega)
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cos_omega = math.cos(omega)
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x_shear = 0.5*xrange*sin_omega
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z_shear = 0.5*zrange*cos_omega
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zs = zsmax - dzsshear * (i-1)
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pl.ptex3(xmid, ymax, zs,
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x_inclination, y_inclination, z_inclination,
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x_shear, y_shear, z_shear,
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0.5, "shear for y = y#dmax#u")
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end
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-- x = xmax.
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pl.schr(0, 1)
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x_inclination = 0
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y_inclination = -1
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z_inclination = 0
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x_shear = 0
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for i = 1, NSHEAR do
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omega = domega + 2.*math.pi*(i-1)/NSHEAR
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sin_omega = math.sin(omega)
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cos_omega = math.cos(omega)
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y_shear = -0.5*yrange*sin_omega
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z_shear = 0.5*zrange*cos_omega
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zs = zsmax - dzsshear * (i-1)
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pl.ptex3(xmax, ymid, zs,
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x_inclination, y_inclination, z_inclination,
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x_shear, y_shear, z_shear,
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0.5, "shear for x = x#dmax#u")
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end
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-- z = zmin.
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pl.schr(0, 1)
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x_inclination = 1
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y_inclination = 0
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z_inclination = 0
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z_shear = 0
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for i = 1, NSHEAR do
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omega = domega + 2.*math.pi*(i-1)/NSHEAR
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sin_omega = math.sin(omega)
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cos_omega = math.cos(omega)
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y_shear = 0.5*yrange*cos_omega
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x_shear = 0.5*xrange*sin_omega
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ys = ysmax - dysshear * (i-1)
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pl.ptex3(xmid, ys, zmin,
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x_inclination, y_inclination, z_inclination,
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x_shear, y_shear, z_shear,
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0.5, "shear for z = z#dmin#u")
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end
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-- Draw minimal 3D grid to finish defining the 3D box.
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pl.mesh(x, y, z, pl.DRAW_LINEXY)
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-- Page 4: Demonstrate drawing a string on a 3D path.
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pl.adv(0)
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pl.vpor(-0.15, 1.15, -0.05, 1.05)
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pl.wind(-1.2, 1.2, -0.8, 1.5)
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pl.w3d(1, 1, 1, xmin, xmax, ymin, ymax, zmin, zmax, 40, -30)
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pl.col0(2)
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pl.box3("b", "", xmax-xmin, 0,
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"b", "", ymax-ymin, 0,
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"bcd", "", zmax-zmin, 0)
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pl.schr(0, 1.2)
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-- domega controls the spacing between the various characters of the
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-- string and also the maximum value of omega for the given number
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-- of characters in *pstring.
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domega = 2.*math.pi/string.len(pstring)
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omega = 0
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-- 3D function is a helix of the given radius and pitch
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radius = 0.5
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pitch = 1/(2*math.pi)
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for i = 1, string.len(pstring) do
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sin_omega = math.sin(omega)
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cos_omega = math.cos(omega)
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xpos = xmid + radius*sin_omega
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ypos = ymid - radius*cos_omega
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zpos = zmin + pitch*omega
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-- In general, the inclination is proportional to the derivative of
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--the position wrt theta.
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x_inclination = radius*cos_omega
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y_inclination = radius*sin_omega
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z_inclination = pitch
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-- The shear vector should be perpendicular to the 3D line with Z
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-- component maximized, but for low pitch a good approximation is
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--a constant vector that is parallel to the Z axis.
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x_shear = 0
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y_shear = 0
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z_shear = 1
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pl.ptex3(xpos, ypos, zpos, x_inclination, y_inclination, z_inclination,
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x_shear, y_shear, z_shear, 0.5, string.sub(pstring, i, i))
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omega = omega + domega
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end
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-- Draw minimal 3D grid to finish defining the 3D box.
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pl.mesh(x, y, z, pl.DRAW_LINEXY)
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-- Page 5: Demonstrate pl.mtex3 axis labelling capability
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pl.adv(0)
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pl.vpor(-0.15, 1.15, -0.05, 1.05)
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pl.wind(-1.2, 1.2, -0.8, 1.5)
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pl.w3d(1, 1, 1, xmin, xmax, ymin, ymax, zmin, zmax, 20, 45)
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pl.col0(2)
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pl.box3("b", "", xmax-xmin, 0,
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"b", "", ymax-ymin, 0,
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"bcd", "", zmax-zmin, 0)
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pl.schr(0, 1)
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pl.mtex3("xp", 3, 0.5, 0.5, "Arbitrarily displaced")
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pl.mtex3("xp", 4.5, 0.5, 0.5, "primary X-axis label")
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pl.mtex3("xs", -2.5, 0.5, 0.5, "Arbitrarily displaced")
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pl.mtex3("xs", -1, 0.5, 0.5, "secondary X-axis label")
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pl.mtex3("yp", 3, 0.5, 0.5, "Arbitrarily displaced")
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pl.mtex3("yp", 4.5, 0.5, 0.5, "primary Y-axis label")
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pl.mtex3("ys", -2.5, 0.5, 0.5, "Arbitrarily displaced")
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pl.mtex3("ys", -1, 0.5, 0.5, "secondary Y-axis label")
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pl.mtex3("zp", 4.5, 0.5, 0.5, "Arbitrarily displaced")
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pl.mtex3("zp", 3, 0.5, 0.5, "primary Z-axis label")
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pl.mtex3("zs", -2.5, 0.5, 0.5, "Arbitrarily displaced")
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pl.mtex3("zs", -1, 0.5, 0.5, "secondary Z-axis label")
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-- Draw minimal 3D grid to finish defining the 3D box.
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pl.mesh(x, y, z, pl.DRAW_LINEXY)
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pl.plend()
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