Arithmetic coding/As a generalized change of radix: Difference between revisions

Arithmetic coding/As a generalized change of radix (view source)

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→‎{{header|Phix}}: added syntax colouring the hard way, mpz_get_si() => mpz_get_integer().

Petelomax

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Revision as of 22:50, 16 May 2021 (view source) rosettacode>Lscrd (→‎{{header\|Nim}}) ← Older edit		Revision as of 02:40, 11 June 2021 (view source) Petelomax (talk \| contribs) m (→‎{{header\|Phix}}: added syntax colouring the hard way, mpz_get_si() => mpz_get_integer().) Newer edit →
Line 1,420: {{trans\|Kotlin}} {{libheader\|Phix/mpfr}} <!--<lang Phix>~~include mpfr.e~~(phixonline)--> <span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span> <span style="color: #008080;">include</span> <span style="color: #004080;">mpfr</span><span style="color: #0000FF;">.</span><span style="color: #000000;">e</span> ~~function cumulative_freq(sequence freq)~~ ~~integer total = 0,~~ <span style="color: #008080;">function</span> <span style="color: #000000;">cumulative_freq</span><span style="color: #0000FF;">(</span><span style="color: #004080;">sequence</span> <span style="color: #000000;">freq</span><span style="color: #0000FF;">)</span> ~~l = length(freq)~~ <span style="color: #004080;">integer</span> <span style="color: #000000;">total</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">,</span> ~~sequence cf = repeat(-1,l)~~ <span style="color: #000000;">l</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">freq</span><span style="color: #0000FF;">)</span> ~~for c=1 to l do~~ <span style="color: #004080;">sequence</span> <span style="color: #000000;">cf</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">repeat</span><span style="color: #0000FF;">(-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">l</span><span style="color: #0000FF;">)</span> ~~integer v = freq[c]~~ <span style="color: #008080;">for</span> <span style="color: #000000;">c</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #000000;">l</span> <span style="color: #008080;">do</span> ~~if v!=0 then~~ <span style="color: #004080;">integer</span> <span style="color: #000000;">v</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">freq</span><span style="color: #0000FF;">[</span><span style="color: #000000;">c</span><span style="color: #0000FF;">]</span> ~~cf[c] = total~~ <span style="color: #008080;">if</span> <span style="color: #000000;">v</span><span style="color: #0000FF;">!=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span> ~~total += v~~ <span style="color: #000000;">cf</span><span style="color: #0000FF;">[</span><span style="color: #000000;">c</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">total</span> ~~end if~~ <span style="color: #000000;">total</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">v</span> ~~end for~~ <span style="color: #008080;">end</span> <span style="color: #008080;">if</span> ~~return cf~~ <span style="color: #008080;">end</span> <span style="color: #008080;">for</span> ~~end function~~ <span style="color: #008080;">return</span> <span style="color: #000000;">cf</span> <span style="color: #008080;">end</span> <span style="color: #008080;">function</span> ~~function arithmethic_coding(string str, integer radix)~~ ~~sequence freq = repeat(0,256)~~ <span style="color: #008080;">function</span> <span style="color: #000000;">arithmethic_coding</span><span style="color: #0000FF;">(</span><span style="color: #004080;">string</span> <span style="color: #000000;">str</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">integer</span> <span style="color: #000000;">radix</span><span style="color: #0000FF;">)</span> ~~for i=1 to length(str) do~~ <span style="color: #004080;">sequence</span> <span style="color: #000000;">freq</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">repeat</span><span style="color: #0000FF;">(</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">256</span><span style="color: #0000FF;">)</span> ~~freq[str[i]+1] += 1~~ <span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">str</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span> ~~end for~~ <span style="color: #000000;">freq</span><span style="color: #0000FF;">[</span><span style="color: #000000;">str</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">1</span> ~~sequence cf = cumulative_freq(freq)~~ <span style="color: #008080;">end</span> <span style="color: #008080;">for</span> ~~integer base = length(str)~~ <span style="color: #004080;">sequence</span> <span style="color: #000000;">cf</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">cumulative_freq</span><span style="color: #0000FF;">(</span><span style="color: #000000;">freq</span><span style="color: #0000FF;">)</span> ~~mpz lo = mpz_init(0), -- lower bound~~ <span style="color: #004080;">integer</span> <span style="color: #000000;">base</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">str</span><span style="color: #0000FF;">)</span> ~~pf = mpz_init(1), -- product of all frequencies~~ <span style="color: #004080;">mpz</span> <span style="color: #000000;">lo</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpz_init</span><span style="color: #0000FF;">(</span><span style="color: #000000;">0</span><span style="color: #0000FF;">),</span> <span style="color: #000080;font-style:italic;">-- lower bound</span> ~~t1 = mpz_init(), -- temp~~ <span style="color: #000000;">pf</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpz_init</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">),</span> <span style="color: #000080;font-style:italic;">-- product of all frequencies</span> ~~t2 = mpz_init(), -- temp~~ <span style="color: #000000;">t1</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpz_init</span><span style="color: #0000FF;">(),</span> <span style="color: #000080;font-style:italic;">-- temp</span> ~~hi = mpz_init(), -- upper bound~~ <span style="color: #000000;">t2</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpz_init</span><span style="color: #0000FF;">(),</span> <span style="color: #000080;font-style:italic;">-- temp</span> ~~diff = mpz_init()~~ <span style="color: #000000;">hi</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpz_init</span><span style="color: #0000FF;">(),</span> <span style="color: #000080;font-style:italic;">-- upper bound</span> ~~-- Each term is multiplied by the product of the~~ <span style="color: #000000;">diff</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpz_init</span><span style="color: #0000FF;">()</span> ~~-- frequencies of all previously occurring symbols~~ <span style="color: #000080;font-style:italic;">-- Each term is multiplied by the product of the ~~for i=1 to length(str) do~~ -- frequencies of all previously occurring symbols</span> ~~integer c = str[i]+1~~ <span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">str</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span> ~~integer x = cf[c]~~ <span style="color: #004080;">integer</span> <span style="color: #000000;">c</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">str</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]+</span><span style="color: #000000;">1</span> ~~mpz_mul_si(t1,lo,base)~~ <span style="color: #004080;">integer</span> <span style="color: #000000;">x</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">cf</span><span style="color: #0000FF;">[</span><span style="color: #000000;">c</span><span style="color: #0000FF;">]</span> ~~mpz_mul_si(t2,pf,x)~~ <span style="color: #7060A8;">mpz_mul_si</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">lo</span><span style="color: #0000FF;">,</span><span style="color: #000000;">base</span><span style="color: #0000FF;">)</span> ~~mpz_add(lo,t1,t2)~~ <span style="color: #7060A8;">mpz_mul_si</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">pf</span><span style="color: #0000FF;">,</span><span style="color: #000000;">x</span><span style="color: #0000FF;">)</span> ~~mpz_mul_si(pf,pf,freq[c])~~ <span style="color: #7060A8;">mpz_add</span><span style="color: #0000FF;">(</span><span style="color: #000000;">lo</span><span style="color: #0000FF;">,</span><span style="color: #000000;">t1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">t2</span><span style="color: #0000FF;">)</span> ~~end for~~ <span style="color: #7060A8;">mpz_mul_si</span><span style="color: #0000FF;">(</span><span style="color: #000000;">pf</span><span style="color: #0000FF;">,</span><span style="color: #000000;">pf</span><span style="color: #0000FF;">,</span><span style="color: #000000;">freq</span><span style="color: #0000FF;">[</span><span style="color: #000000;">c</span><span style="color: #0000FF;">])</span> ~~mpz_add(hi,lo,pf)~~ <span style="color: #008080;">end</span> <span style="color: #008080;">for</span> ~~integer powr = 0~~ <span style="color: #7060A8;">mpz_add</span><span style="color: #0000FF;">(</span><span style="color: #000000;">hi</span><span style="color: #0000FF;">,</span><span style="color: #000000;">lo</span><span style="color: #0000FF;">,</span><span style="color: #000000;">pf</span><span style="color: #0000FF;">)</span> ~~while true do~~ <span style="color: #004080;">integer</span> <span style="color: #000000;">powr</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span> ~~{} = mpz_fdiv_q_ui(pf,pf,radix)~~ <span style="color: #008080;">while</span> <span style="color: #004600;">true</span> <span style="color: #008080;">do</span> ~~if mpz_cmp_si(pf,0)=0 then exit end if~~ <span style="color: #0000FF;">{}</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpz_fdiv_q_ui</span><span style="color: #0000FF;">(</span><span style="color: #000000;">pf</span><span style="color: #0000FF;">,</span><span style="color: #000000;">pf</span><span style="color: #0000FF;">,</span><span style="color: #000000;">radix</span><span style="color: #0000FF;">)</span> ~~powr += 1~~ <span style="color: #008080;">if</span> <span style="color: #7060A8;">mpz_cmp_si</span><span style="color: #0000FF;">(</span><span style="color: #000000;">pf</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">)=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span> <span style="color: #008080;">exit</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span> ~~end while~~ <span style="color: #000000;">powr</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">1</span> ~~mpz_sub_ui(hi,hi,1)~~ <span style="color: #008080;">end</span> <span style="color: #008080;">while</span> ~~mpz_ui_pow_ui(t1,radix,powr)~~ <span style="color: #7060A8;">mpz_sub_ui</span><span style="color: #0000FF;">(</span><span style="color: #000000;">hi</span><span style="color: #0000FF;">,</span><span style="color: #000000;">hi</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1</span><span style="color: #0000FF;">)</span> ~~mpz_fdiv_q(diff,hi,t1)~~ <span style="color: #7060A8;">mpz_ui_pow_ui</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">radix</span><span style="color: #0000FF;">,</span><span style="color: #000000;">powr</span><span style="color: #0000FF;">)</span> ~~return {diff, powr, freq}~~ <span style="color: #7060A8;">mpz_fdiv_q</span><span style="color: #0000FF;">(</span><span style="color: #000000;">diff</span><span style="color: #0000FF;">,</span><span style="color: #000000;">hi</span><span style="color: #0000FF;">,</span><span style="color: #000000;">t1</span><span style="color: #0000FF;">)</span> ~~end function~~ <span style="color: #008080;">return</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">diff</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">powr</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">freq</span><span style="color: #0000FF;">}</span> <span style="color: #008080;">end</span> <span style="color: #008080;">function</span> ~~function arithmethic_decoding(mpz num, integer radix, pwr, sequence freq)~~ ~~mpz enc = mpz_init(),~~ <span style="color: #008080;">function</span> <span style="color: #000000;">arithmethic_decoding</span><span style="color: #0000FF;">(</span><span style="color: #004080;">mpz</span> <span style="color: #000000;">num</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">integer</span> <span style="color: #000000;">radix</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">pwr</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">sequence</span> <span style="color: #000000;">freq</span><span style="color: #0000FF;">)</span> ~~pow = mpz_init(),~~ <span style="color: #004080;">mpz</span> <span style="color: #000000;">enc</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpz_init</span><span style="color: #0000FF;">(),</span> ~~tmp = mpz_init()~~ <span style="color: #000000;">pow</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpz_init</span><span style="color: #0000FF;">(),</span> ~~mpz_ui_pow_ui(enc,radix,pwr)~~ <span style="color: #000000;">tmp</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpz_init</span><span style="color: #0000FF;">()</span> ~~mpz_mul(enc,num,enc)~~ <span style="color: #7060A8;">mpz_ui_pow_ui</span><span style="color: #0000FF;">(</span><span style="color: #000000;">enc</span><span style="color: #0000FF;">,</span><span style="color: #000000;">radix</span><span style="color: #0000FF;">,</span><span style="color: #000000;">pwr</span><span style="color: #0000FF;">)</span> ~~integer base = sum(freq)~~ <span style="color: #7060A8;">mpz_mul</span><span style="color: #0000FF;">(</span><span style="color: #000000;">enc</span><span style="color: #0000FF;">,</span><span style="color: #000000;">num</span><span style="color: #0000FF;">,</span><span style="color: #000000;">enc</span><span style="color: #0000FF;">)</span> ~~sequence cf = cumulative_freq(freq)~~ <span style="color: #004080;">integer</span> <span style="color: #000000;">base</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">sum</span><span style="color: #0000FF;">(</span><span style="color: #000000;">freq</span><span style="color: #0000FF;">)</span> ~~sequence dict = repeat(0,base+1)~~ <span style="color: #004080;">sequence</span> <span style="color: #000000;">cf</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">cumulative_freq</span><span style="color: #0000FF;">(</span><span style="color: #000000;">freq</span><span style="color: #0000FF;">)</span> ~~for i=1 to length(cf) do~~ <span style="color: #004080;">sequence</span> <span style="color: #000000;">dict</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">repeat</span><span style="color: #0000FF;">(</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">base</span><span style="color: #0000FF;">+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">)</span> ~~integer v = cf[i]~~ <span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">cf</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span> ~~if v!=-1 then dict[v+1] = i-1 end if~~ <span style="color: #004080;">integer</span> <span style="color: #000000;">v</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">cf</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]</span> ~~end for~~ <span style="color: #008080;">if</span> <span style="color: #000000;">v</span><span style="color: #0000FF;">!=-</span><span style="color: #000000;">1</span> <span style="color: #008080;">then</span> <span style="color: #000000;">dict</span><span style="color: #0000FF;">[</span><span style="color: #000000;">v</span><span style="color: #0000FF;">+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span> ~~-- Fill the gaps in the dictionary~~ <span style="color: #008080;">end</span> <span style="color: #008080;">for</span> ~~integer lchar = -1~~ <span style="color: #000080;font-style:italic;">-- Fill the gaps in the dictionary</span> ~~for i=0 to base do~~ <span style="color: #004080;">integer</span> <span style="color: #000000;">lchar</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">-</span><span style="color: #000000;">1</span> ~~integer v = dict[i+1]~~ <span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">0</span> <span style="color: #008080;">to</span> <span style="color: #000000;">base</span> <span style="color: #008080;">do</span> ~~if v!=0 then~~ <span style="color: #004080;">integer</span> <span style="color: #000000;">v</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">dict</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]</span> ~~lchar = v~~ <span style="color: #008080;">if</span> <span style="color: #000000;">v</span><span style="color: #0000FF;">!=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span> ~~elsif lchar!=-1 then~~ <span style="color: #000000;">lchar</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">v</span> ~~dict[i+1] = lchar~~ <span style="color: #008080;">elsif</span> <span style="color: #000000;">lchar</span><span style="color: #0000FF;">!=-</span><span style="color: #000000;">1</span> <span style="color: #008080;">then</span> ~~end if~~ <span style="color: #000000;">dict</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">lchar</span> ~~end for~~ <span style="color: #008080;">end</span> <span style="color: #008080;">if</span> ~~-- Decode the input number~~ <span style="color: #008080;">end</span> <span style="color: #008080;">for</span> ~~string decoded = ""~~ <span style="color: #000080;font-style:italic;">-- Decode the input number</span> ~~for i=base-1 to 0 by -1 do~~ <span style="color: #004080;">string</span> <span style="color: #000000;">decoded</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">""</span> ~~mpz_ui_pow_ui(pow,base,i)~~ <span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">base</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #000000;">0</span> <span style="color: #008080;">by</span> <span style="color: #0000FF;">-</span><span style="color: #000000;">1</span> <span style="color: #008080;">do</span> ~~mpz_fdiv_q(tmp,enc,pow)~~ <span style="color: #7060A8;">mpz_ui_pow_ui</span><span style="color: #0000FF;">(</span><span style="color: #000000;">pow</span><span style="color: #0000FF;">,</span><span style="color: #000000;">base</span><span style="color: #0000FF;">,</span><span style="color: #000000;">i</span><span style="color: #0000FF;">)</span> ~~integer div = mpz_get_si(tmp),~~ <span style="color: #7060A8;">mpz_fdiv_q</span><span style="color: #0000FF;">(</span><span style="color: #000000;">tmp</span><span style="color: #0000FF;">,</span><span style="color: #000000;">enc</span><span style="color: #0000FF;">,</span><span style="color: #000000;">pow</span><span style="color: #0000FF;">)</span> ~~c = dict[div+1],~~ <span style="color: #004080;">integer</span> <span style="color: #000000;">div</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpz_get_integer</span><span style="color: #0000FF;">(</span><span style="color: #000000;">tmp</span><span style="color: #0000FF;">),</span> ~~fv = freq[c+1],~~ <span style="color: #000000;">c</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">dict</span><span style="color: #0000FF;">[</span><span style="color: #000000;">div</span><span style="color: #0000FF;">+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">],</span> ~~cv = cf[c+1]~~ <span style="color: #000000;">fv</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">freq</span><span style="color: #0000FF;">[</span><span style="color: #000000;">c</span><span style="color: #0000FF;">+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">],</span> ~~mpz_mul_si(tmp,pow,cv)~~ <span style="color: #000000;">cv</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">cf</span><span style="color: #0000FF;">[</span><span style="color: #000000;">c</span><span style="color: #0000FF;">+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]</span> ~~mpz_sub(tmp,enc,tmp)~~ <span style="color: #7060A8;">mpz_mul_si</span><span style="color: #0000FF;">(</span><span style="color: #000000;">tmp</span><span style="color: #0000FF;">,</span><span style="color: #000000;">pow</span><span style="color: #0000FF;">,</span><span style="color: #000000;">cv</span><span style="color: #0000FF;">)</span> ~~{} = mpz_fdiv_q_ui(enc,tmp,fv)~~ <span style="color: #7060A8;">mpz_sub</span><span style="color: #0000FF;">(</span><span style="color: #000000;">tmp</span><span style="color: #0000FF;">,</span><span style="color: #000000;">enc</span><span style="color: #0000FF;">,</span><span style="color: #000000;">tmp</span><span style="color: #0000FF;">)</span> ~~decoded &= c~~ <span style="color: #0000FF;">{}</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpz_fdiv_q_ui</span><span style="color: #0000FF;">(</span><span style="color: #000000;">enc</span><span style="color: #0000FF;">,</span><span style="color: #000000;">tmp</span><span style="color: #0000FF;">,</span><span style="color: #000000;">fv</span><span style="color: #0000FF;">)</span> ~~end for~~ <span style="color: #000000;">decoded</span> <span style="color: #0000FF;">&=</span> <span style="color: #000000;">c</span> ~~return decoded~~ <span style="color: #008080;">end</span> <span style="color: #008080;">for</span> ~~end function~~ <span style="color: #008080;">return</span> <span style="color: #000000;">decoded</span> <span style="color: #008080;">end</span> <span style="color: #008080;">function</span> ~~constant tests = {"DABDDB", "DABDDBBDDBA", "ABRACADABRA", "TOBEORNOTTOBEORTOBEORNOT"},~~ ~~radix = 10~~ <span style="color: #008080;">constant</span> <span style="color: #000000;">tests</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #008000;">"DABDDB"</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"DABDDBBDDBA"</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"ABRACADABRA"</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"TOBEORNOTTOBEORTOBEORNOT"</span><span style="color: #0000FF;">},</span> <span style="color: #000000;">radix</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">10</span> ~~for i=1 to length(tests) do~~ ~~string str = tests[i]~~ <span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">tests</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span> ~~{mpz enc, integer pow, sequence freq} = arithmethic_coding(str, radix)~~ <span style="color: #004080;">string</span> <span style="color: #000000;">str</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">tests</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]</span> ~~string dec = arithmethic_decoding(enc, radix, pow, freq),~~ <span style="color: #0000FF;">{</span><span style="color: #004080;">mpz</span> <span style="color: #000000;">enc</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">integer</span> <span style="color: #000000;">pow</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">sequence</span> <span style="color: #000000;">freq</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">arithmethic_coding</span><span style="color: #0000FF;">(</span><span style="color: #000000;">str</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">radix</span><span style="color: #0000FF;">)</span> ~~ok = iff(str=dec?"(ok)":"*ERROR"),~~ <span style="color: #004080;">string</span> <span style="color: #000000;">dec</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">arithmethic_decoding</span><span style="color: #0000FF;">(</span><span style="color: #000000;">enc</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">radix</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">pow</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">freq</span><span style="color: #0000FF;">),</span> ~~encs = mpz_get_str(enc)~~ <span style="color: #000000;">ok</span> <span style="color: #0000FF;">=</span> <span style="color: #008080;">iff</span><span style="color: #0000FF;">(</span><span style="color: #000000;">str</span><span style="color: #0000FF;">=</span><span style="color: #000000;">dec</span><span style="color: #0000FF;">?</span><span style="color: #008000;">"(ok)"</span><span style="color: #0000FF;">:</span><span style="color: #008000;">"ERROR"</span><span style="color: #0000FF;">),</span> ~~printf(1,"%-25s=> %19s %d^%d %s\n",{str, encs, radix, pow, ok})~~ <span style="color: #000000;">encs</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpz_get_str</span><span style="color: #0000FF;">(</span><span style="color: #000000;">enc</span><span style="color: #0000FF;">)</span> ~~end for</lang>~~ <span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"%-25s=> %19s * %d^%d %s\n"</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">str</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">encs</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">radix</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">pow</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">ok</span><span style="color: #0000FF;">})</span> <span style="color: #008080;">end</span> <span style="color: #008080;">for</span> <!--</lang>--> {{out}} <pre>