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* PHP-8.3: random: Fix γ-section implementation for Randomizer::getFloat() (php#12402)
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Original file line number | Diff line number | Diff line change |
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@@ -13,6 +13,9 @@ | |
| Authors: Tim Düsterhus <[email protected]> | | ||
| | | ||
| Based on code from: Frédéric Goualard | | ||
| Corrected to handled appropriately random integers larger than 2^53 | | ||
| converted to double precision floats, and to avoid overflows for | | ||
| large gammas. | | ||
+----------------------------------------------------------------------+ | ||
*/ | ||
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@@ -46,6 +49,12 @@ static double gamma_max(double x, double y) | |
return (fabs(x) > fabs(y)) ? gamma_high(x) : gamma_low(y); | ||
} | ||
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static void splitint64(uint64_t v, double *vhi, double *vlo) | ||
{ | ||
*vhi = v >> 2; | ||
*vlo = v & UINT64_C(0x3); | ||
} | ||
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static uint64_t ceilint(double a, double b, double g) | ||
{ | ||
double s = b / g - a / g; | ||
|
@@ -74,9 +83,19 @@ PHPAPI double php_random_gammasection_closed_open(const php_random_algo *algo, p | |
uint64_t k = 1 + php_random_range64(algo, status, hi - 1); /* [1, hi] */ | ||
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if (fabs(min) <= fabs(max)) { | ||
return k == hi ? min : max - k * g; | ||
if (k == hi) { | ||
return min; | ||
} else { | ||
double k_hi, k_lo; | ||
splitint64(k, &k_hi, &k_lo); | ||
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return 0x1p+2 * (max * 0x1p-2 - k_hi * g) - k_lo * g; | ||
} | ||
} else { | ||
return min + (k - 1) * g; | ||
double k_hi, k_lo; | ||
splitint64(k - 1, &k_hi, &k_lo); | ||
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return 0x1p+2 * (min * 0x1p-2 + k_hi * g) + k_lo * g; | ||
} | ||
} | ||
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@@ -92,9 +111,23 @@ PHPAPI double php_random_gammasection_closed_closed(const php_random_algo *algo, | |
uint64_t k = php_random_range64(algo, status, hi); /* [0, hi] */ | ||
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if (fabs(min) <= fabs(max)) { | ||
return k == hi ? min : max - k * g; | ||
if (k == hi) { | ||
return min; | ||
} else { | ||
double k_hi, k_lo; | ||
splitint64(k, &k_hi, &k_lo); | ||
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return 0x1p+2 * (max * 0x1p-2 - k_hi * g) - k_lo * g; | ||
} | ||
} else { | ||
return k == hi ? max : min + k * g; | ||
if (k == hi) { | ||
return max; | ||
} else { | ||
double k_hi, k_lo; | ||
splitint64(k, &k_hi, &k_lo); | ||
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return 0x1p+2 * (min * 0x1p-2 + k_hi * g) + k_lo * g; | ||
} | ||
} | ||
} | ||
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@@ -110,9 +143,19 @@ PHPAPI double php_random_gammasection_open_closed(const php_random_algo *algo, p | |
uint64_t k = php_random_range64(algo, status, hi - 1); /* [0, hi - 1] */ | ||
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if (fabs(min) <= fabs(max)) { | ||
return max - k * g; | ||
double k_hi, k_lo; | ||
splitint64(k, &k_hi, &k_lo); | ||
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return 0x1p+2 * (max * 0x1p-2 - k_hi * g) - k_lo * g; | ||
} else { | ||
return k == (hi - 1) ? max : min + (k + 1) * g; | ||
if (k == (hi - 1)) { | ||
return max; | ||
} else { | ||
double k_hi, k_lo; | ||
splitint64(k + 1, &k_hi, &k_lo); | ||
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return 0x1p+2 * (min * 0x1p-2 + k_hi * g) + k_lo * g; | ||
} | ||
} | ||
} | ||
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@@ -128,8 +171,14 @@ PHPAPI double php_random_gammasection_open_open(const php_random_algo *algo, php | |
uint64_t k = 1 + php_random_range64(algo, status, hi - 2); /* [1, hi - 1] */ | ||
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if (fabs(min) <= fabs(max)) { | ||
return max - k * g; | ||
double k_hi, k_lo; | ||
splitint64(k, &k_hi, &k_lo); | ||
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return 0x1p+2 * (max * 0x1p-2 - k_hi * g) - k_lo * g; | ||
} else { | ||
return min + k * g; | ||
double k_hi, k_lo; | ||
splitint64(k, &k_hi, &k_lo); | ||
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return 0x1p+2 * (min * 0x1p-2 + k_hi * g) + k_lo * g; | ||
} | ||
} |
41 changes: 41 additions & 0 deletions
41
ext/random/tests/03_randomizer/methods/getFloat_extreme_range.phpt
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@@ -0,0 +1,41 @@ | ||
--TEST-- | ||
Random: Randomizer: getFloat(): Extreme ranges are handled correctly | ||
--FILE-- | ||
<?php | ||
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use Random\Engine; | ||
use Random\Randomizer; | ||
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final class TestEngine implements Engine | ||
{ | ||
private array $values = [ | ||
"\x64\xe8\x58\x79\x3e\xf6\x38\x00", | ||
"\x65\xe8\x58\x79\x3e\xf6\x38\x00", | ||
"\x00\x00\x00\x00\x00\x00\x00\x00", | ||
]; | ||
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public function generate(): string | ||
{ | ||
return \array_shift($this->values); | ||
} | ||
} | ||
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$r = new Randomizer(new TestEngine()); | ||
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$min = -1.6e308; | ||
$max = 1.6e308; | ||
printf("%.17g\n", $min); | ||
printf("%.17g\n\n", $max); | ||
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printf("%.17g\n", $r->getFloat($min, $max)); | ||
printf("%.17g\n", $r->getFloat($min, $max)); | ||
printf("%.17g\n", $r->getFloat($min, $max)); | ||
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?> | ||
--EXPECT-- | ||
-1.6e+308 | ||
1.6e+308 | ||
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-1.5999999999999998e+308 | ||
-1.6e+308 | ||
1.5999999999999998e+308 |
52 changes: 52 additions & 0 deletions
52
ext/random/tests/03_randomizer/methods/getFloat_opposite_signs.phpt
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@@ -0,0 +1,52 @@ | ||
--TEST-- | ||
Random: Randomizer: getFloat(): Opposite signs are handled correctly | ||
--FILE-- | ||
<?php | ||
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use Random\Engine; | ||
use Random\Randomizer; | ||
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final class TestEngine implements Engine | ||
{ | ||
private array $values = [ | ||
"\x63\xe8\x58\x79\x3e\xf6\x38\x00", | ||
"\x64\xe8\x58\x79\x3e\xf6\x38\x00", | ||
"\x65\xe8\x58\x79\x3e\xf6\x38\x00", | ||
"\x66\xe8\x58\x79\x3e\xf6\x38\x00", | ||
"\x67\xe8\x58\x79\x3e\xf6\x38\x00", | ||
]; | ||
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public function generate(): string | ||
{ | ||
return \array_shift($this->values); | ||
} | ||
} | ||
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$r = new Randomizer(new TestEngine()); | ||
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$min = -1; | ||
$max = 1; | ||
printf("%.17g\n", $min); | ||
printf("%.17g\n\n", $max); | ||
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$prev = null; | ||
for ($i = 0; $i < 5; $i++) { | ||
$float = $r->getFloat($min, $max); | ||
printf("%.17f", $float); | ||
if ($prev !== null) { | ||
printf(" (%+.17g)", ($float - $prev)); | ||
} | ||
printf("\n"); | ||
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$prev = $float; | ||
} | ||
?> | ||
--EXPECT-- | ||
-1 | ||
1 | ||
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-0.78005908680576086 | ||
-0.78005908680576097 (-1.1102230246251565e-16) | ||
-0.78005908680576108 (-1.1102230246251565e-16) | ||
-0.78005908680576119 (-1.1102230246251565e-16) | ||
-0.78005908680576130 (-1.1102230246251565e-16) |