Data update
This commit is contained in:
Ingy döt Net
parent
4bb20c9b71
commit
cbaf4c4b64
12390 changed files with 318560 additions and 27248 deletions
|
|
@ -0,0 +1,13 @@
|
|||
CirclePlus[x_, y_] := Max[x, y];
|
||||
CircleTimes[x_, y_] := x + y;
|
||||
UpArrow[x_, y_Integer?Positive] := x * y;
|
||||
|
||||
Print["2 ⊗ -2 = ", 2 ⊗ -2];
|
||||
Print["-0.001 ⊕ -∞ = ", -0.001 ⊕ -∞];
|
||||
Print["0 ⊗ -∞ = ", 0 ⊗ -∞];
|
||||
Print["1.5 ⊕ -1 = ", 1.5 ⊕ -1];
|
||||
Print["-0.5 ⊗ 0 = ", -0.5 ⊗ 0];
|
||||
Print["5 ↑ 7 = ", 5 ↑ 7];
|
||||
Print["5 ⊗ (8 ⊕ 7) = ", 5 ⊗ (8 ⊕ 7)];
|
||||
Print["5 ⊗ 8 ⊕ 5 ⊗ 7 = ", 5 ⊗ 8 ⊕ 5 ⊗ 7 ];
|
||||
Print["5 ⊗ (8 ⊕ 7) == 5 ⊗ 8 ⊕ 5 ⊗ 7 : ", 5 ⊗(8 ⊕ 7) == 5 ⊗ 8 ⊕ 5 ⊗ 7 ];
|
||||
|
|
@ -0,0 +1,58 @@
|
|||
#!/usr/bin/perl
|
||||
|
||||
use strict; # https://rosettacode.org/wiki/Tropical_algebra_overloading
|
||||
use warnings;
|
||||
|
||||
#Show that 2 * -2 is 0, -0.001 + -Inf is -0.001, 0 * -Inf is -Inf, 1.5 + -1 is 1.5, and -0.5 * 0 is -0.5.
|
||||
|
||||
my $negativeinfinity = - 2 ** 2 ** 10;
|
||||
print "negativeinfinity $negativeinfinity\n";
|
||||
printf "2 * -2 is %s\n", Tropical->new(2) * -2;
|
||||
printf "-0.001 + -inf is %s\n", Tropical->new(0.001) + $negativeinfinity;
|
||||
printf "0 * -inf is %s\n", Tropical->new(0) * $negativeinfinity;
|
||||
printf "1.5 + -1 is %s\n", Tropical->new(1.5) + -1;
|
||||
printf "-0.5 * 0 is %s\n", Tropical->new(-0.5) * 0;
|
||||
printf "2 ** 3 is %s\n", Tropical->new(2) ** 3;
|
||||
printf "2 ** 3 is %s\n", 2 ** Tropical->new(3);
|
||||
printf "5 * ( 8 + 7) is %s\n", 5 * (Tropical->new(8) + 7);
|
||||
printf "5 * 8 + 5 * 7 is %s\n", 5 * Tropical->new(8) + Tropical->new(5) * 7;
|
||||
|
||||
package Tropical;
|
||||
use overload qw( "" asstring + add ** power * mult );
|
||||
use List::Util qw( max );
|
||||
|
||||
sub new
|
||||
{
|
||||
my ( $class, $value ) = @_;
|
||||
bless \$value, ref $class || $class;
|
||||
}
|
||||
|
||||
sub asstring
|
||||
{
|
||||
my ($self, $other, $swap) = @_;
|
||||
$$self;
|
||||
}
|
||||
|
||||
sub add
|
||||
{
|
||||
my ($self, $other, $swap) = @_;
|
||||
return $swap
|
||||
? bless \(max "$other", $$self), ref $self
|
||||
: bless \(max $$self, "$other"), ref $self;
|
||||
}
|
||||
|
||||
sub mult
|
||||
{
|
||||
my ($self, $other, $swap) = @_;
|
||||
return $swap
|
||||
? bless \("$other" + $$self), ref $self
|
||||
: bless \($$self + "$other"), ref $self;
|
||||
}
|
||||
|
||||
sub power
|
||||
{
|
||||
my ($self, $other, $swap) = @_;
|
||||
return $swap
|
||||
? bless \("$other" * $$self), ref $self
|
||||
: bless \($$self * "$other"), ref $self;
|
||||
}
|
||||
|
|
@ -1,27 +1,25 @@
|
|||
(phixonline)-->
|
||||
<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span>
|
||||
<span style="color: #7060A8;">requires</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"1.0.1"</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- (minor/backportable bugfix rqd to handling of -inf in printf[1])</span>
|
||||
<span style="color: #008080;">constant</span> <span style="color: #000000;">tropicalAdd</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">max</span><span style="color: #0000FF;">,</span>
|
||||
<span style="color: #000000;">tropicalMul</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">sq_add</span><span style="color: #0000FF;">,</span>
|
||||
<span style="color: #000000;">tropicalExp</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">sq_mul</span><span style="color: #0000FF;">,</span>
|
||||
<span style="color: #000000;">inf</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">1e300</span><span style="color: #0000FF;">*</span><span style="color: #000000;">1e300</span>
|
||||
with javascript_semantics
|
||||
requires("1.0.1") -- (minor/backportable bugfix rqd to handling of -inf in printf[1])
|
||||
constant tropicalAdd = max,
|
||||
tropicalMul = sq_add,
|
||||
tropicalExp = sq_mul,
|
||||
inf = 1e300*1e300
|
||||
|
||||
<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;">"tropicalMul(2,-2) = %g\n"</span><span style="color: #0000FF;">,</span>
|
||||
<span style="color: #0000FF;">{</span><span style="color: #000000;">tropicalMul</span><span style="color: #0000FF;">(</span><span style="color: #000000;">2</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">2</span><span style="color: #0000FF;">)})</span>
|
||||
<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;">"tropicalAdd(-0.001,-inf) = %g\n"</span><span style="color: #0000FF;">,</span>
|
||||
<span style="color: #0000FF;">{</span><span style="color: #000000;">tropicalAdd</span><span style="color: #0000FF;">(-</span><span style="color: #000000;">0.001</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">inf</span><span style="color: #0000FF;">)})</span>
|
||||
<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;">"tropicalMul(0,-inf) = %g\n"</span><span style="color: #0000FF;">,</span>
|
||||
<span style="color: #0000FF;">{</span><span style="color: #000000;">tropicalMul</span><span style="color: #0000FF;">(</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">inf</span><span style="color: #0000FF;">)})</span>
|
||||
<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;">"tropicalAdd(1.5,-1) = %g\n"</span><span style="color: #0000FF;">,</span>
|
||||
<span style="color: #0000FF;">{</span><span style="color: #000000;">tropicalAdd</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1.5</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">)})</span>
|
||||
<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;">"tropicalMul(-0.5,0) = %g\n"</span><span style="color: #0000FF;">,</span>
|
||||
<span style="color: #0000FF;">{</span><span style="color: #000000;">tropicalMul</span><span style="color: #0000FF;">(-</span><span style="color: #000000;">0.5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">)})</span>
|
||||
<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;">"tropicalExp(5,7) = %g\n"</span><span style="color: #0000FF;">,</span>
|
||||
<span style="color: #0000FF;">{</span><span style="color: #000000;">tropicalExp</span><span style="color: #0000FF;">(</span><span style="color: #000000;">5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">7</span><span style="color: #0000FF;">)})</span>
|
||||
<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;">"tropicalMul(5,tropicalAdd(8,7)) = %g\n"</span><span style="color: #0000FF;">,</span>
|
||||
<span style="color: #0000FF;">{</span><span style="color: #000000;">tropicalMul</span><span style="color: #0000FF;">(</span><span style="color: #000000;">5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">tropicalAdd</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: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"tropicalAdd(tropicalMul(5,8),tropicalMul(5,7)) = %g\n"</span><span style="color: #0000FF;">,</span>
|
||||
<span style="color: #0000FF;">{</span><span style="color: #000000;">tropicalAdd</span><span style="color: #0000FF;">(</span><span style="color: #000000;">tropicalMul</span><span style="color: #0000FF;">(</span><span style="color: #000000;">5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">8</span><span style="color: #0000FF;">),</span><span style="color: #000000;">tropicalMul</span><span style="color: #0000FF;">(</span><span style="color: #000000;">5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">7</span><span style="color: #0000FF;">))})</span>
|
||||
<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;">"tropicalMul(5,tropicalAdd(8,7)) == tropicalAdd(tropicalMul(5,8),tropicalMul(5,7)) = %t\n"</span><span style="color: #0000FF;">,</span>
|
||||
<span style="color: #0000FF;">{</span><span style="color: #000000;">tropicalMul</span><span style="color: #0000FF;">(</span><span style="color: #000000;">5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">tropicalAdd</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: #0000FF;">==</span> <span style="color: #000000;">tropicalAdd</span><span style="color: #0000FF;">(</span><span style="color: #000000;">tropicalMul</span><span style="color: #0000FF;">(</span><span style="color: #000000;">5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">8</span><span style="color: #0000FF;">),</span><span style="color: #000000;">tropicalMul</span><span style="color: #0000FF;">(</span><span style="color: #000000;">5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">7</span><span style="color: #0000FF;">))})</span>
|
||||
<!--
|
||||
printf(1,"tropicalMul(2,-2) = %g\n",
|
||||
{tropicalMul(2,-2)})
|
||||
printf(1,"tropicalAdd(-0.001,-inf) = %g\n",
|
||||
{tropicalAdd(-0.001,-inf)})
|
||||
printf(1,"tropicalMul(0,-inf) = %g\n",
|
||||
{tropicalMul(0,-inf)})
|
||||
printf(1,"tropicalAdd(1.5,-1) = %g\n",
|
||||
{tropicalAdd(1.5,-1)})
|
||||
printf(1,"tropicalMul(-0.5,0) = %g\n",
|
||||
{tropicalMul(-0.5,0)})
|
||||
printf(1,"tropicalExp(5,7) = %g\n",
|
||||
{tropicalExp(5,7)})
|
||||
printf(1,"tropicalMul(5,tropicalAdd(8,7)) = %g\n",
|
||||
{tropicalMul(5,tropicalAdd(8,7))})
|
||||
printf(1,"tropicalAdd(tropicalMul(5,8),tropicalMul(5,7)) = %g\n",
|
||||
{tropicalAdd(tropicalMul(5,8),tropicalMul(5,7))})
|
||||
printf(1,"tropicalMul(5,tropicalAdd(8,7)) == tropicalAdd(tropicalMul(5,8),tropicalMul(5,7)) = %t\n",
|
||||
{tropicalMul(5,tropicalAdd(8,7)) == tropicalAdd(tropicalMul(5,8),tropicalMul(5,7))})
|
||||
|
|
|
|||
Loading…
Add table
Add a link
Reference in a new issue