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<h1 id="information-about-this-entry">Information about this entry</h1>
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<p>Morse codes for letters and digits use sequences of 1 to 5 (inclusive)
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Morse symbols (denoted as <code>.</code> or <code>-</code>), e.g.</p>
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<pre><code> E .
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Z --..
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3 ...--</code></pre>
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<p>(BTW: digits always have 5 symbols, letters 1 to 4. I didn’t use this fact.)</p>
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<p>Of course we can encode these symbols with bits in a byte. I chose <code>-</code>
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to be a bit set to 0, <code>.</code> to be a bit set to 1. Characters in C are at
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least 8 bits, but they are either signed or unsigned. To be portable,
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I’ve used only values from 0 to 127 (inclusive) (both in the encoding
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of Morse codes, as well as in subexpressions in the program). Hence we
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can use type <code>char</code> (using <code>unsigned char</code> for an extra bit would have made
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the source code excessively large ;-)</p>
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<p>The least significant bit contains the first symbol of a Morse code, so
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we have</p>
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<pre><code> E > 0......1
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Z > 0...1100
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3 > 0..00111</code></pre>
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<p>The dots still have to be determined. But we also need to encode the
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length of the sequence. Since there are only 4 different kind of lengths,
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two bits would suffice, e.g.</p>
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<pre><code> E > 000....1
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Z > 010.1100
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3 > 01100111</code></pre>
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<p>That means bits 6 and 5 set to 00 is length 1, set to 01 is length 2, etc.
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But this would mean that we would have to extract the length into a
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counter before shifting out each symbol, such as</p>
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<pre class="<!---c-->"><code> length = (encoding & 96) >> 5;
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do {
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putchar(encoding & 1 ? '-' : '.');
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encoding >>= 1;
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} while (length--);</code></pre>
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<p>We can also use the remaining bits to <em>include</em> the counter</p>
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<pre><code> length 1: 00000.1x E > 00000.11
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length 2: 0000.1xx
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length 3: 000.1xxx
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length 4: 00.1xxxx Z > 00.11100
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length 5: 0.1xxxxx 3 > 0.100111</code></pre>
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<p>with 1 bit still to be chosen freely (let’s assume it is 0). Now we can do</p>
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<pre class="<!---c-->"><code> do {
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putchar(encoding & 1 ? '-' : '.');
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encoding >>= 1;
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while (encoding > 1);</code></pre>
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<p>As you see, the encoded Morse sequence can be the counter itself. But
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this is not very pleasant, as some Morse sequences will end up having
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an ASCII value < 32, i.e. they will be control codes. This would make
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the initializing (encoding) string awkward. Hence I came up with the
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following</p>
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<pre><code> length 1: 0010010x E > 00100101 (= '%')
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length 2: 001010xx
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length 3: 00110xxx
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length 4: 0100xxxx Z > 01001100 (= 'L')
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length 5: 011xxxxx 3 > 01100111 (= 'g')</code></pre>
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<p>Notice these encodings in the initialization string. Only the coding for
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<code>5</code> needs an escape (<code>5 = ..... > 01111111 = '\177'</code>). The way the length
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is encoded still allows the encoding to be its own counter:</p>
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<pre class="<!---c-->"><code> do {
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putchar(encoding & 1 ? '-' : '.');
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encoding = (encoding + 32) >> 1;
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} while (encoding > 35);</code></pre>
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<p>The last shift will always result in <code>00100010</code>, hence the test for <code>>35</code>.
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Note that the calculation for the next value of <code>encoding</code> is done at <code>int</code>
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precision, so that the actual value of the <code>char</code> remains <code><= 127</code>.</p>
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<p>The character <code>'-'</code> (ASCII 45) and <code>'.'</code> (ASCII 46) are conveniently in
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sequence, so the putchar can simply be</p>
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<pre class="<!---c-->"><code> putchar(45 + encoding % 2);</code></pre>
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<p>I used the modulo operator this time, because <code>+</code> takes precedence over <code>&</code>.
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The assignment can be incorporated into the <code>while</code> control test, and a
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<code>do-while</code> loop with a body of a single expression statement can be written
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as a <code>while</code> loop with a comma operator in the test:</p>
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<pre class="<!---c-->"><code> while(putchar(45 + encoding % 2), encoding = encoding + 32 >> 1);</code></pre>
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<p>Voila.</p>
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<p>Now, the decoding of Morse codes is just the reverse. We shift in <code>0</code>s
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and <code>1</code>s as we scan the line. But: we have to scan from back to front
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(the left most Morse symbol is in the least significant bit, and thus
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has to shifted in last). The test for the scanning while loop must
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stop when there are no more <code>.</code> or <code>-</code> on the left. Hence we need a
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terminating character in front of the line. The input line is read one
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past the encoding string (into the same character array) the terminating
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character for the reverse scan is therefore provided by the implicit <code>'\0'</code>
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of the array initializer ! The test also stops when at most 5 symbols
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have been shifted in.</p>
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<p>The encoded character is then looked up in the encoding string with
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<code>memchr(3)</code> (why <code>memchr(3)</code> is explained later). Either a <code>?</code> (when there are
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more than 5 consecutive Morse symbols, or if the sequence is unknown)
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or the decoded character is printed. Or a <code>' '</code> if there was an extra
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space in the source line. Note the use of “or” in these last sentences,
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as they explain the use of the conditional operator.</p>
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<p>The <code>strspn(3)</code> calls need either <code>" .-"</code> or <code>".-"</code> as argument. Of course they
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are overlapped. I put these strings between the encodings for digits
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and letters. This is OK, since neither of these characters, or the <code>'\0'</code>,
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is a valid encoding ! We must, however, use <code>memchr(3)</code> instead of <code>strchr(3)</code> in
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the decoding lookup because of this <code>'\0'</code>. Since it is far more obscure
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this way, I hope you’ll forgive me.</p>
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<p>The outline of the program is roughly as follows</p>
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<pre><code> while (more lines) {
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if (line is in morse) {
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while (more characters) {
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skip next sequence
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if (' ')
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putchar(' ');
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else
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decode_sequence; /* backwards */
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}
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} else {
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||
while (more characters) {
|
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if (isalnum)
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encode_character;
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putchar(' ');
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}
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}</code></pre>
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<p>Because of the <em>two</em> <code>while(more characters)</code> loops are the same, I’ve
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exchanged the <code>if(line is in morse)</code> and the two <code>while</code> loops (so there
|
||
is <em>single</em> <code>while</code> loop). However, we must now store the <code>if(line is in morse)</code> test for efficiency (it would be stupid to test the entire line
|
||
for every character). This is done in <code>l[0]</code> ! (the first encoding is
|
||
thus in <code>l[1]</code>). The <code>memchr(3)</code> decoding lookup is not disturbed, because the
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test is always <code>0</code> for Morse lines, and <code>'\0'</code> is not a possible encoding.
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<code>l[0]</code> is also used as the temporary shift character while encoding a
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line of text. This does not disturb the <code>if (line is in morse)</code> test,
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as the temporary <code>l[0]</code> will remain <code>!= 0</code>.</p>
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<p>I’ve put the <code>if</code>s in the above layout into a single switch. Hope you don’t
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mind ;-)</p>
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<p>Summary of the use of l[999]:</p>
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<pre><code> l[0] result of "is this line in morse" test
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l[0] temporary shift during encoding
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l[0] - l[33] Morse codings (letters and digits, plus garbage)
|
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l[11] - l[14] strspn argument
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l[12] - l[14] strspn argument
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l[34] terminator for backward decoding
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l[35] - l[998] input line</code></pre>
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<hr />
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||
<p>Selected notes:
|
||
- We don’t need to declare <code>isalnum(3)</code> (or include ctype.h) as its implicit
|
||
declaration is correct (int argument, int result). This is not so for
|
||
<code>strlen(3)</code>, <code>strspn(3)</code>, and <code>memchr(3)</code> as they use <code>size_t</code>.
|
||
- During development, my gcc 2.7.2.3 had an internal compiler error (signal
|
||
6) on code that was correct !
|
||
- lclint 2.4b thinks that “the observer is modified” a couple of times,
|
||
whereas it is not. Well, it is, but there is a sequence point in between.
|
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- lclint 2.4b parses line 13 as <error>, whereas it is correct code.
|
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- lclint 2.4b is positive the second <code>while</code> loop is infinite, whereas it is
|
||
not.</p>
|
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<hr />
|
||
<p>.. - …. .. -. -.- - …. .. … … .–. — .. .-.. . .-. .. … – — .-. . — -… ..-. ..- … -.-. .- - . -.. - …. .- -. - …. . .–. .-. — –. .-. .- –</p>
|
||
<p>. -..- . .-. -.-. .. … .
|
||
-.-. …. .- -. –. . - …. . .–. .-. — –. .-. .- – … — .. - -.. — . … -. — - … …. — ..- -</p>
|
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Copyright © 1984-2024 by Landon Curt Noll. All Rights Reserved.
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You are free to share and adapt this file under the terms of this license:
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You are free to share and adapt this file under the terms of this license:
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<p>All IOCCC content including this file and web page are:</p>
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<b> Copyright © 1984-2024 by Landon Curt Noll. <a href="https://creativecommons.org/faq/#what-does-some-rights-reserved-mean">Some Rights Reserved</a>.</b>
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