63 lines
1.4 KiB
Factor
63 lines
1.4 KiB
Factor
USING: math math.functions kernel sequences io io.styles
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prettyprint words hints ;
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IN: benchmark.partial-sums
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: summing ( n quot -- y )
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[ + ] compose 0.0 -rot 1 -rot (each-integer) ; inline
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: 2/3^k ( n -- y ) [ 2.0 3.0 / swap 1- ^ ] summing ;
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HINTS: 2/3^k fixnum ;
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: k^-0.5 ( n -- y ) [ -0.5 ^ ] summing ;
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HINTS: k^-0.5 fixnum ;
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: 1/k(k+1) ( n -- y ) [ dup 1+ * recip ] summing ;
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HINTS: 1/k(k+1) fixnum ;
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: cube ( x -- y ) dup dup * * ; inline
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: flint-hills ( n -- y )
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[ dup cube swap sin sq * recip ] summing ;
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HINTS: flint-hills fixnum ;
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: cookson-hills ( n -- y )
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[ dup cube swap cos sq * recip ] summing ;
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HINTS: cookson-hills fixnum ;
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: harmonic ( n -- y ) [ recip ] summing ;
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HINTS: harmonic fixnum ;
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: riemann-zeta ( n -- y ) [ sq recip ] summing ;
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HINTS: riemann-zeta fixnum ;
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: -1^ 2 mod zero? 1 -1 ? ; inline
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: alternating-harmonic ( n -- y ) [ dup -1^ swap / ] summing ;
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HINTS: alternating-harmonic fixnum ;
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: gregory ( n -- y ) [ dup -1^ swap 2 * 1- / ] summing ;
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HINTS: gregory fixnum ;
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: functions
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{ 2/3^k k^-0.5 1/k(k+1) flint-hills cookson-hills harmonic riemann-zeta alternating-harmonic gregory } ;
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: partial-sums ( n -- )
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standard-table-style [
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functions [
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[ tuck execute pprint-cell pprint-cell ] with-row
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] with each
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] tabular-output ;
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: partial-sums-main 2500000 partial-sums ;
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MAIN: partial-sums-main
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