NonintegerCollatz/plot_w.gplot at main · fra99le/NonintegerCollatz · GitHub

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#!/usr/bin/env gnuplot
#
# plot_w.gplot
# NonintegerCollatz: Collatz for non-integers
#
# Copyright (c) 2025-2026 Bryan Franklin. All rights reserved.
#

set terminal png size 1600,1000
set encoding utf8
#set title ""

orange = '#F5B63F'
blue = '#008ebc'
purple = '#B300BD'


set grid x
set grid y
set mytics 5
set mxtics 5

set term wxt
set logscale x
set xrange [0:1.1e7]
set yrange [-20000:20000]
#plot 'divfree_data_ints.txt' using 1:($4/$5) with points, \
#     'divfree_data.txt' using 1:($4/$5) with dots;
#pause -1

set term png
set terminal png size 600,400
set xlabel 'w'
set ylabel 'x_0'

set key right bottom box

set xrange [*:1e52]
set output 'divfree_x_vs_w_only.png'
plot 'divfree_w_sampled.txt' using 1:($4/$5) with dots title 'Sampled W';

set terminal png size 600,400
set key right bottom box
set logscale x
set logscale y
set mytics 10
set xrange [1:1e11]
set yrange [1:1e17]
set output 'sampled_w_vs_x.png'
set xlabel 'x_0'
set ylabel 'w'
plot 'divfree_w_sampled.txt' using ($4/$5):1 \
        linecolor rgb '#F5B63F' \
        with dots title 'Sampled w', \
     'divfree_x_sampled.txt' using ($4/$5):1 \
        linecolor rgb '#008ebc' \
        with dots title 'Integer x_0';

set term pdf size 5in,3in
set output "sampled_w_vs_x.pdf"
replot

set terminal png size 600,400
set key left top box
unset logscale x
unset logscale y
set xrange [1:5e17]
set yrange [1:*]
#set output 'sampled_steps_vs_x.png'
set xlabel 'x_0'
set ylabel '"steps to 1" (m+d)'
#plot 'divfree_w_sampled.txt' using ($4/$5):($2+$3) \
        linecolor rgb '#F5B63F' \
        with dots title 'Sampled w', \
     'divfree_x_sampled.txt' using ($4/$5):($2+$3) \
        linecolor rgb '#008ebc' \
        with dots title 'Sampled x';

#set term pdf size 5in,3in
#set output "sampled_steps_vs_x.pdf"
#replot

set terminal png size 600,400
set key right bottom box
set logscale x
set logscale y
set mytics 10
set xrange [1:100000]
set yrange [1:100000]
set output 'enumerated_w_vs_x.png'
set xlabel 'x_0'
set ylabel 'w'
plot 'divfree_w_enumerated.txt' using ($4/$5):1 \
        linecolor rgb '#F5B63F' \
        with dots title 'Enumerated w', \
     'divfree_x_enumerated.txt' using ($4/$5):1 \
        linecolor rgb '#008ebc' \
        with points title 'Integer x_0';

set term pdf size 5in,3in
set output "enumerated_w_vs_x.pdf"
replot

set terminal png size 600,400
set key right bottom box
unset logscale x
set logscale y
set mytics 10
set xrange [1:5000]
set yrange [1:300]
set output 'enumerated_steps_vs_x.png'
set xlabel 'x_0'
set ylabel '"steps to 1" (m+d)'
plot 'divfree_w_enumerated.txt' using ($4/$5):($2+$3) \
        linecolor rgb '#F5B63F' \
        with dots title 'Enumerated w', \
     'divfree_x_enumerated.txt' using ($4/$5):($2+$3) \
        linecolor rgb '#008ebc' \
        with points title 'Integer x_0';

set term pdf size 5in,3in
set output "enumerated_steps_vs_x.pdf"
replot

set terminal png size 600,400
set key right bottom box
unset logscale x
unset logscale y
set mytics 5
set xrange [1:25]
set yrange [0:25]
set output 'enumerated_steps_vs_x_2.png'
set xlabel 'x_0'
set ylabel '"steps to 1" (m+d)'
plot 'divfree_w_enumerated.txt' using ($4/$5):($2+$3) \
        linecolor rgb '#F5B63F' \
        with dots title 'Enumerated w', \
     'divfree_x_enumerated.txt' using ($4/$5):($2+$3) \
        linecolor rgb '#008ebc' \
        with points title 'Integer x_0';

set term pdf size 5in,3in
set output "enumerated_steps_vs_x_2.pdf"
replot

set terminal png size 600,400
set key right bottom box
set logscale x
unset logscale y
set xrange [1:1e5]
set yrange [1:*]
#set output 'enumerated_steps_vs_w.png'
set xlabel 'w'
set ylabel '"steps to 1" (m+d)'
#plot 'divfree_w_enumerated.txt' using 1:($2+$3) \
        linecolor rgb '#F5B63F' \
        with dots title 'Enumerated w', \
     'divfree_x_enumerated.txt' using 1:($2+$3) \
        linecolor rgb '#008ebc' \
        with points title 'Integer x_0';

#set term pdf size 5in,3in
#set output "enumerated_steps_vs_w.pdf"
#replot