80 lines
24 KiB
Plaintext
80 lines
24 KiB
Plaintext
(phixonline)-->
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<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span>
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<span style="color: #7060A8;">requires</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"1.0.0"</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- (mpfr_set_default_prec[ision] has been renamed)</span>
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<span style="color: #008080;">include</span> <span style="color: #000000;">builtins</span><span style="color: #0000FF;">\</span><span style="color: #004080;">mpfr</span><span style="color: #0000FF;">.</span><span style="color: #000000;">e</span>
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<span style="color: #7060A8;">puts</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"Task 1\n"</span><span style="color: #0000FF;">)</span>
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<span style="color: #008080;">constant</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">fns</span><span style="color: #0000FF;">,</span><span style="color: #000000;">fdp</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">columnize</span><span style="color: #0000FF;">({{</span><span style="color: #000000;">3</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">4</span><span style="color: #0000FF;">,</span><span style="color: #000000;">6</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">6</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">6</span><span style="color: #0000FF;">,</span><span style="color: #000000;">6</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">7</span><span style="color: #0000FF;">,</span><span style="color: #000000;">6</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">8</span><span style="color: #0000FF;">,</span><span style="color: #000000;">7</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">20</span><span style="color: #0000FF;">,</span><span style="color: #000000;">16</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">30</span><span style="color: #0000FF;">,</span><span style="color: #000000;">24</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">50</span><span style="color: #0000FF;">,</span><span style="color: #000000;">40</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">100</span><span style="color: #0000FF;">,</span><span style="color: #000000;">78</span><span style="color: #0000FF;">}})</span>
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<span style="color: #7060A8;">mpfr_set_default_precision</span><span style="color: #0000FF;">(-</span><span style="color: #000000;">196</span><span style="color: #0000FF;">)</span>
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<span style="color: #004080;">sequence</span> <span style="color: #000000;">v</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #7060A8;">mpfr_init</span><span style="color: #0000FF;">(</span><span style="color: #000000;">2</span><span style="color: #0000FF;">),</span><span style="color: #7060A8;">mpfr_init</span><span style="color: #0000FF;">(-</span><span style="color: #000000;">4</span><span style="color: #0000FF;">)}</span>
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<span style="color: #004080;">mpfr</span> <span style="color: #000000;">t1</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpfr_init</span><span style="color: #0000FF;">()</span>
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<span style="color: #008080;">for</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">=</span><span style="color: #000000;">3</span> <span style="color: #008080;">to</span> <span style="color: #000000;">100</span> <span style="color: #008080;">do</span>
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<span style="color: #000080;font-style:italic;">-- v = append(v,111 - 1130/v[n-1] + 3000/(v[n-1]*v[n-2]))</span>
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<span style="color: #7060A8;">mpfr_set_si</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1130</span><span style="color: #0000FF;">)</span>
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<span style="color: #7060A8;">mpfr_div</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">t1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">v</span><span style="color: #0000FF;">[</span><span style="color: #000000;">n</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">])</span>
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<span style="color: #7060A8;">mpfr_si_sub</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">111</span><span style="color: #0000FF;">,</span><span style="color: #000000;">t1</span><span style="color: #0000FF;">)</span>
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<span style="color: #004080;">mpfr</span> <span style="color: #000000;">t2</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpfr_init</span><span style="color: #0000FF;">()</span>
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<span style="color: #7060A8;">mpfr_mul</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">v</span><span style="color: #0000FF;">[</span><span style="color: #000000;">n</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">],</span><span style="color: #000000;">v</span><span style="color: #0000FF;">[</span><span style="color: #000000;">n</span><span style="color: #0000FF;">-</span><span style="color: #000000;">2</span><span style="color: #0000FF;">])</span>
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<span style="color: #7060A8;">mpfr_si_div</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">3000</span><span style="color: #0000FF;">,</span><span style="color: #000000;">t2</span><span style="color: #0000FF;">)</span>
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<span style="color: #7060A8;">mpfr_add</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t2</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>
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<span style="color: #000000;">v</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">append</span><span style="color: #0000FF;">(</span><span style="color: #000000;">v</span><span style="color: #0000FF;">,</span><span style="color: #000000;">t2</span><span style="color: #0000FF;">)</span>
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<span style="color: #008080;">if</span> <span style="color: #000000;">n</span><span style="color: #0000FF;"><</span><span style="color: #000000;">9</span> <span style="color: #008080;">or</span> <span style="color: #7060A8;">find</span><span style="color: #0000FF;">(</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">20</span><span style="color: #0000FF;">,</span><span style="color: #000000;">30</span><span style="color: #0000FF;">,</span><span style="color: #000000;">50</span><span style="color: #0000FF;">,</span><span style="color: #000000;">100</span><span style="color: #0000FF;">})</span> <span style="color: #008080;">then</span>
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<span style="color: #000080;font-style:italic;">-- printf(1,"n = %-3d %20.16f\n", {n, v[n]})</span>
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<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;">"n = %-3d %s\n"</span><span style="color: #0000FF;">,</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span> <span style="color: #7060A8;">mpfr_get_fixed</span><span style="color: #0000FF;">(</span><span style="color: #000000;">v</span><span style="color: #0000FF;">[</span><span style="color: #000000;">n</span><span style="color: #0000FF;">],</span><span style="color: #000000;">fdp</span><span style="color: #0000FF;">[</span><span style="color: #7060A8;">find</span><span style="color: #0000FF;">(</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">fns</span><span style="color: #0000FF;">)])})</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
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<span style="color: #7060A8;">puts</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"\nTask 2\n"</span><span style="color: #0000FF;">)</span>
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<span style="color: #000080;font-style:italic;">--atom balance = exp(1)-1
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--for i=1 to 25 do balance = balance*i-1 end for
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--printf(1,"\nTask 2\nBalance after 25 years: $%12.10f", balance)</span>
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<span style="color: #7060A8;">mpfr_set_default_precision</span><span style="color: #0000FF;">(-</span><span style="color: #000000;">41</span><span style="color: #0000FF;">)</span>
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<span style="color: #004080;">mpfr</span> <span style="color: #000000;">balance</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpfr_init</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"1.71828182845904523536028747135266249775724709369995"</span><span style="color: #0000FF;">&</span>
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<span style="color: #008000;">"95749669676277240766303535475945713821785251664274"</span><span style="color: #0000FF;">)</span>
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<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: #000000;">25</span> <span style="color: #008080;">do</span>
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<span style="color: #7060A8;">mpfr_mul_si</span><span style="color: #0000FF;">(</span><span style="color: #000000;">balance</span><span style="color: #0000FF;">,</span><span style="color: #000000;">balance</span><span style="color: #0000FF;">,</span><span style="color: #000000;">i</span><span style="color: #0000FF;">)</span>
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<span style="color: #7060A8;">mpfr_sub_si</span><span style="color: #0000FF;">(</span><span style="color: #000000;">balance</span><span style="color: #0000FF;">,</span><span style="color: #000000;">balance</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1</span><span style="color: #0000FF;">)</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
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<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;">"Balance after 25 years: $%s\n\n"</span><span style="color: #0000FF;">,</span> <span style="color: #0000FF;">{</span><span style="color: #7060A8;">mpfr_get_fixed</span><span style="color: #0000FF;">(</span><span style="color: #000000;">balance</span><span style="color: #0000FF;">,</span><span style="color: #000000;">16</span><span style="color: #0000FF;">)})</span>
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<span style="color: #7060A8;">puts</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"Task 3\n"</span><span style="color: #0000FF;">)</span>
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<span style="color: #7060A8;">mpfr_set_default_precision</span><span style="color: #0000FF;">(-</span><span style="color: #000000;">36</span><span style="color: #0000FF;">)</span>
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<span style="color: #004080;">integer</span> <span style="color: #000000;">a</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">77617</span><span style="color: #0000FF;">,</span>
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<span style="color: #000000;">b</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">33096</span>
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<span style="color: #000080;font-style:italic;">--atom pa2 = power(a,2),
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-- pb2a211 = 11*pa2*power(b,2),
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-- pb4121 = 121*power(b,4),
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-- pb6 = power(b,6),
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-- pb855 = 5.5*power(b,8),
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-- f_ab = 333.75 * pb6 + pa2 * (pb2a211 - pb6 - pb4121 - 2) + pb855 + a/(2*b)
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--printf(1,"f(%d, %d) = %.15f\n\n", {a, b, f_ab})
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-- (translation of FreeBASIC)</span>
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<span style="color: #004080;">mpfr</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">t2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">t3</span><span style="color: #0000FF;">,</span><span style="color: #000000;">t4</span><span style="color: #0000FF;">,</span><span style="color: #000000;">t5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">t6</span><span style="color: #0000FF;">,</span><span style="color: #000000;">t7</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpfr_inits</span><span style="color: #0000FF;">(</span><span style="color: #000000;">6</span><span style="color: #0000FF;">)</span>
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<span style="color: #7060A8;">mpfr_set_d</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">a</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- a</span>
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<span style="color: #7060A8;">mpfr_set_d</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t2</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">b</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- b </span>
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<span style="color: #7060A8;">mpfr_set_d</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t3</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">333.75</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- 333.75</span>
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<span style="color: #7060A8;">mpfr_pow_si</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t4</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">t2</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">6</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- b ^ 6</span>
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<span style="color: #7060A8;">mpfr_mul</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t3</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">t3</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">t4</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- 333.75 * b^6</span>
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<span style="color: #7060A8;">mpfr_pow_si</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t5</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">t1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">2</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- a^2</span>
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<span style="color: #7060A8;">mpfr_pow_si</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t6</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">t2</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">2</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- b^2</span>
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<span style="color: #7060A8;">mpfr_mul_si</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t7</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">t5</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">11</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- 11 * a^2</span>
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<span style="color: #7060A8;">mpfr_mul</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t7</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">t7</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">t6</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- 11 * a^2 * b^2</span>
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<span style="color: #7060A8;">mpfr_sub</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t7</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">t7</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">t4</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- 11 * a^2 * b^2 - b^6</span>
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<span style="color: #7060A8;">mpfr_pow_si</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t4</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">t2</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">4</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- b^4</span>
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<span style="color: #7060A8;">mpfr_mul_si</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t4</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">t4</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">121</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- 121 * b^4</span>
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<span style="color: #7060A8;">mpfr_sub</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t7</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">t7</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">t4</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- 11 * a^2 * b^2 - b^6 - 121 * b^4</span>
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<span style="color: #7060A8;">mpfr_sub_si</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t7</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">t7</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">2</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- 11 * a^2 * b^2 - b^6 - 121 * b^4 - 2</span>
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<span style="color: #7060A8;">mpfr_mul</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t7</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">t7</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">t5</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- (11 * a^2 * b^2 - b^6 - 121 * b^4 - 2) * a^2</span>
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<span style="color: #7060A8;">mpfr_add</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t3</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">t3</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">t7</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- 333.75 * b^6 + (11 * a^2 * b^2 - b^6 - 121 * b^4 - 2) * a^2</span>
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<span style="color: #7060A8;">mpfr_set_d</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t4</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">5.5</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- 5.5</span>
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<span style="color: #7060A8;">mpfr_pow_si</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t5</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">t2</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">8</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- b^8 </span>
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<span style="color: #7060A8;">mpfr_mul</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t4</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">t4</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">t5</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- 5.5 * b^8</span>
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<span style="color: #7060A8;">mpfr_add</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t3</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">t3</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">t4</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- 333.75 * b^6 + (11 * a^2 * b^2 - b^6 - 121 * b^4 - 2) * a^2 + 5.5 * b^8</span>
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<span style="color: #7060A8;">mpfr_mul_si</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t4</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">t2</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">2</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- 2 * b</span>
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<span style="color: #7060A8;">mpfr_div</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t5</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">t1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">t4</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- a / (2 * b)</span>
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<span style="color: #7060A8;">mpfr_add</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t3</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">t3</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">t5</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- 333.75 * b^6 + (11 * a^2 * b^2 - b^6 - 121 * b^4 - 2) * a^2 + 5.5 * b^8 + a / (2 * b)</span>
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<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;">"f(%d, %d) = %s\n"</span><span style="color: #0000FF;">,</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">a</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">b</span><span style="color: #0000FF;">,</span> <span style="color: #7060A8;">mpfr_get_fixed</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t3</span><span style="color: #0000FF;">,</span><span style="color: #000000;">15</span><span style="color: #0000FF;">)})</span>
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<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><span style="color: #000000;">t3</span><span style="color: #0000FF;">,</span><span style="color: #000000;">t4</span><span style="color: #0000FF;">,</span><span style="color: #000000;">t5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">t6</span><span style="color: #0000FF;">,</span><span style="color: #000000;">t7</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpfr_free</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><span style="color: #000000;">t3</span><span style="color: #0000FF;">,</span><span style="color: #000000;">t4</span><span style="color: #0000FF;">,</span><span style="color: #000000;">t5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">t6</span><span style="color: #0000FF;">,</span><span style="color: #000000;">t7</span><span style="color: #0000FF;">})</span>
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