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authorWalt Mankowski <waltman@pobox.com>2019-08-30 15:02:56 -0400
committerWalt Mankowski <waltman@pobox.com>2019-08-30 15:02:56 -0400
commit9d7c4adad7c8be15fa19998c7507e20a51e84203 (patch)
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parente3b5adc047f45313e7fc6ed01e00ded7e6a1a166 (diff)
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Code for Challenge 23.1, nth order forward difference series
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+#!/usr/bin/env perl
+
+# Create a script that prints nth order forward difference series. You
+# should be a able to pass the list of numbers and order number as
+# command line parameters. Let me show you with an example.
+#
+# Suppose we have list (X) of numbers: 5, 9, 2, 8, 1, 6 and we would
+# like to create 1st order forward difference series (Y). So using the
+# formula Y(i) = X(i+1) - X(i), we get the following numbers: (9-5),
+# (2-9), (8-2), (1-8), (6-1). In short, the final series would be: 4,
+# -7, 6, -7, 5. If you noticed, it has one less number than the original
+# series. Similary you can carry on 2nd order forward difference series
+# like: (-7-4), (6+7), (-7-6), (5+7) => -11, 13, -13, 12.
+#
+# The order is passed as the first parameter to the script, followed
+# by the list of items. For example, to compute the first order forward
+# difference series of the list above, we'd run
+#
+# perl ch-1.pl 1 5 9 2 8 1 6
+# 4 -7 6 -7 5
+#
+# To compute the second order we'd run
+#
+# perl ch-1.pl 2 5 9 2 8 1 6
+# -11 13 -13 12
+
+use strict;
+use warnings;
+use feature qw(:5.30);
+use experimental qw(signatures);
+
+my ($n, @X) = @ARGV;
+
+my @Y = nth_order_forward_diff($n, @X);
+say "@Y";
+
+sub nth_order_forward_diff($n, @X) {
+ for (1..$n) {
+ my @Y;
+ for my $i (0..$#X - 1) {
+ $Y[$i] = $X[$i+1] - $X[$i];
+ }
+ @X = @Y;
+ }
+ return @X;
+}