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92 changes: 11 additions & 81 deletions ext/standard/math.c
Original file line numberDiff line numberDiff line change
Expand Up@@ -30,50 +30,6 @@

#include "basic_functions.h"

/* {{{ php_intlog10abs
Returns floor(log10(fabs(val))), uses fast binary search */
static inline int php_intlog10abs(double value) {
value = fabs(value);

if (value < 1e-8 || value > 1e22) {
return (int)floor(log10(value));
} else {
/* Do a binary search with 5 steps */
int result = 15;
static const double values[] = {
1e-8, 1e-7, 1e-6, 1e-5, 1e-4, 1e-3, 1e-2, 1e-1, 1e0, 1e1, 1e2,
1e3, 1e4, 1e5, 1e6, 1e7, 1e8, 1e9, 1e10, 1e11, 1e12, 1e13,
1e14, 1e15, 1e16, 1e17, 1e18, 1e19, 1e20, 1e21, 1e22};

if (value < values[result]) {
result -= 8;
} else {
result += 8;
}
if (value < values[result]) {
result -= 4;
} else {
result += 4;
}
if (value < values[result]) {
result -= 2;
} else {
result += 2;
}
if (value < values[result]) {
result -= 1;
} else {
result += 1;
}
if (value < values[result]) {
result -= 1;
}
result -= 8;
return result;
}
}
/* }}} */

/* {{{ php_intpow10
Returns pow(10.0, (double)power), uses fast lookup table for exact powers */
static inline double php_intpow10(int power) {
Expand DownExpand Up@@ -165,56 +121,30 @@ static inline double php_round_helper(double value, int mode) {

/* {{{ _php_math_round */
/*
* Rounds a number to a certain number of decimal places in a certain rounding
* mode. For the specifics of the algorithm, see http://wiki.php.net/rfc/rounding
* Rounds a number to a certain number of decimal places in a certain rounding mode.
* If you "HALF UP" a value like 0.285 (0.28499999999999998), it will be rounded to 0.28.

@mvorisekmvorisekSep 24, 2023

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0.28499999999999998 is theoretical meaningless value, the stored accuracy is lower.

0.285 is simply 0.285, the rounding must match double to string representation /w precision set to -1.

https://3v4l.org/WiS71

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please see #12268

To be honest, I'm starting to feel like it's impossible for me to reconcile the divided opinions, and I'm starting to think about posting about this on internals.

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see https://github.com/php/php-src/blob/php-8.2.10/Zend/zend_strtod.c#L3704 for double -> string conversion code /w mode=0, not sure if rounding thru string conversion will be fast enough, but in the end, all roundings must equal when does this way

*/
PHPAPI double _php_math_round(double value, int places, int mode) {
double f1, f2;
double f1;
double tmp_value;
int precision_places;

if (!zend_finite(value) || value == 0.0) {
return value;
}

places = places < INT_MIN+1 ? INT_MIN+1 : places;
precision_places = 14 - php_intlog10abs(value);

f1 = php_intpow10(abs(places));

/* If the decimal precision guaranteed by FP arithmetic is higher than
the requested places BUT is small enough to make sure a non-zero value
is returned, pre-round the result to the precision */
if (precision_places > places && precision_places - 15 < places) {
int64_t use_precision = precision_places < INT_MIN+1 ? INT_MIN+1 : precision_places;

f2 = php_intpow10(abs((int)use_precision));
if (use_precision >= 0) {
tmp_value = value * f2;
} else {
tmp_value = value / f2;
}
/* preround the result (tmp_value will always be something * 1e14,
thus never larger than 1e15 here) */
tmp_value = php_round_helper(tmp_value, mode);

use_precision = places - precision_places;
use_precision = use_precision < INT_MIN+1 ? INT_MIN+1 : use_precision;
/* now correctly move the decimal point */
f2 = php_intpow10(abs((int)use_precision));
/* because places < precision_places */
tmp_value = tmp_value / f2;
/* adjust the value */
if (places >= 0) {
tmp_value = value * f1;
} else {
/* adjust the value */
if (places >= 0) {
tmp_value = value * f1;
} else {
tmp_value = value / f1;
}
/* This value is beyond our precision, so rounding it is pointless */
if (fabs(tmp_value) >= 1e15) {
return value;
}
tmp_value = value / f1;
}
/* This value is beyond our precision, so rounding it is pointless */
if (fabs(tmp_value) >= 1e15) {
return value;
}

/* round the temp value */
Expand Down
74 changes: 60 additions & 14 deletions ext/standard/tests/math/bug24142.phpt
Original file line numberDiff line numberDiff line change
Expand Up@@ -2,19 +2,65 @@
Bug #24142 (round() problems)
--FILE--
<?php
$v = 0.005;
for ($i = 1; $i < 10; $i++) {
echo "round({$v}, 2) -> ".round($v, 2)."\n";
$v += 0.01;
}
echo "round(0.005, 2)\n";
var_dump(round(0.005, 2));
echo "\n";

echo "round(0.015, 2)\n";
var_dump(round(0.015, 2));
echo "\n";

echo "round(0.025, 2)\n";
var_dump(round(0.025, 2));
echo "\n";

echo "round(0.035, 2)\n";
var_dump(round(0.035, 2));
echo "\n";

echo "round(0.045, 2)\n";
var_dump(round(0.045, 2));
echo "\n";

echo "round(0.055, 2)\n";
var_dump(round(0.055, 2));
echo "\n";

echo "round(0.065, 2)\n";
var_dump(round(0.065, 2));
echo "\n";

echo "round(0.075, 2)\n";
var_dump(round(0.075, 2));
echo "\n";

echo "round(0.085, 2)\n";
var_dump(round(0.085, 2));
?>
--EXPECT--
round(0.005, 2) -> 0.01
round(0.015, 2) -> 0.02
round(0.025, 2) -> 0.03
round(0.035, 2) -> 0.04
round(0.045, 2) -> 0.05
round(0.055, 2) -> 0.06
round(0.065, 2) -> 0.07
round(0.075, 2) -> 0.08
round(0.085, 2) -> 0.09
round(0.005, 2)
float(0.01)

round(0.015, 2)
float(0.02)

round(0.025, 2)
float(0.03)

round(0.035, 2)
float(0.04)

round(0.045, 2)
float(0.05)

round(0.055, 2)
float(0.06)

round(0.065, 2)
float(0.07)

round(0.075, 2)
float(0.08)

round(0.085, 2)
float(0.09)
83 changes: 83 additions & 0 deletions ext/standard/tests/math/round_gh12143_remove_pre_rounding.phpt
Original file line numberDiff line numberDiff line change
@@ -0,0 +1,83 @@
--TEST--
Fix GH-12143: Remove pre-rounding
--FILE--
<?php
echo "HALF_UP\n";
var_dump(round(1.700000000000145, 13, PHP_ROUND_HALF_UP));
var_dump(round(-1.700000000000145, 13, PHP_ROUND_HALF_UP));
var_dump(round(123456789012344.5, -1, PHP_ROUND_HALF_UP));
var_dump(round(-123456789012344.5, -1, PHP_ROUND_HALF_UP));
var_dump (round (0.285, 2, PHP_ROUND_HALF_UP));
var_dump (round (-0.285, 2, PHP_ROUND_HALF_UP));
echo "\n";

echo "HALF_DOWN\n";
var_dump(round(1.70000000000015, 13, PHP_ROUND_HALF_DOWN));
var_dump(round(-1.70000000000015, 13, PHP_ROUND_HALF_DOWN));
var_dump(round(123456789012345.0, -1, PHP_ROUND_HALF_DOWN));
var_dump(round(-123456789012345.0, -1, PHP_ROUND_HALF_DOWN));
var_dump(round(1.500000000000001, 0, PHP_ROUND_HALF_DOWN));
var_dump(round(-1.500000000000001, 0, PHP_ROUND_HALF_DOWN));
var_dump (round (1.235, 2, PHP_ROUND_HALF_UP));
var_dump (round (-1.235, 2, PHP_ROUND_HALF_UP));
echo "\n";

echo "HALF_EVEN\n";
var_dump(round(1.70000000000025, 13, PHP_ROUND_HALF_EVEN));
var_dump(round(-1.70000000000025, 13, PHP_ROUND_HALF_EVEN));
var_dump(round(1.70000000000075, 13, PHP_ROUND_HALF_EVEN));
var_dump(round(-1.70000000000075, 13, PHP_ROUND_HALF_EVEN));
var_dump(round(12345678901234.5, 0, PHP_ROUND_HALF_EVEN));
var_dump(round(-12345678901234.5, 0, PHP_ROUND_HALF_EVEN));
var_dump(round(1.500000000000001, 0, PHP_ROUND_HALF_EVEN));
var_dump(round(-1.500000000000001, 0, PHP_ROUND_HALF_EVEN));
echo "\n";

echo "HALF_ODD\n";
var_dump(round(1.70000000000025, 13, PHP_ROUND_HALF_ODD));
var_dump(round(-1.70000000000025, 13, PHP_ROUND_HALF_ODD));
var_dump(round(1.70000000000075, 13, PHP_ROUND_HALF_ODD));
var_dump(round(-1.70000000000075, 13, PHP_ROUND_HALF_ODD));
var_dump(round(12345678901233.5, 0, PHP_ROUND_HALF_ODD));
var_dump(round(-12345678901233.5, 0, PHP_ROUND_HALF_ODD));
var_dump(round(1.500000000000001, 0, PHP_ROUND_HALF_ODD));
var_dump(round(-1.500000000000001, 0, PHP_ROUND_HALF_ODD));
?>
--EXPECT--
HALF_UP
float(1.7000000000001)
float(-1.7000000000001)
float(123456789012340)
float(-123456789012340)
float(0.28)
float(-0.28)

HALF_DOWN
float(1.7000000000001)
float(-1.7000000000001)
float(123456789012340)
float(-123456789012340)
float(2)
float(-2)
float(1.24)
float(-1.24)

HALF_EVEN
float(1.7000000000002)
float(-1.7000000000002)
float(1.7000000000008)
float(-1.7000000000008)
float(12345678901234)
float(-12345678901234)
float(2)
float(-2)

HALF_ODD
float(1.7000000000003)
float(-1.7000000000003)
float(1.7000000000007)
float(-1.7000000000007)
float(12345678901233)
float(-12345678901233)
float(2)
float(-2)
10 changes: 0 additions & 10 deletions ext/standard/tests/math/round_prerounding.phpt

This file was deleted.

, 'i'); if (__m === '*' || __re.test(location.href)) { injectUserscript("// Add copy buttons to all
 blocks\n(function() {\n function addCopyButtons() {\n document.querySelectorAll('pre code').forEach(function(codeBlock) {\n if (codeBlock.parentElement.hasAttribute('data-copy-added')) return;\n codeBlock.parentElement.setAttribute('data-copy-added', 'true');\n \n var btn = document.createElement('button');\n btn.textContent = 'Copy';\n btn.style.cssText = 'position:absolute;top:4px;right:4px;padding:2px 8px;font-size:11px;background:#4ecdc4;border:none;border-radius:4px;color:#1a1a2e;cursor:pointer;opacity:0.7;transition:opacity 0.2s;';\n btn.onmouseover = function() { this.style.opacity = '1'; };\n btn.onmouseout = function() { this.style.opacity = '0.7'; };\n btn.onclick = function() {\n navigator.clipboard.writeText(codeBlock.textContent).then(function() {\n btn.textContent = 'Copied!';\n setTimeout(function() { btn.textContent = 'Copy'; }, 1500);\n });\n };\n codeBlock.parentElement.style.position = 'relative';\n codeBlock.parentElement.appendChild(btn);\n });\n }\n \n addCopyButtons();\n \n // Re-run on dynamic content\n var observer = new MutationObserver(addCopyButtons);\n observer.observe(document.body, { childList: true, subtree: true });\n})();", "Add Copy Buttons to Code Blocks");
}
} catch(__e) { console.warn('[Userscript:Add Copy Buttons to Code Blocks]', __e); }
})();
(function(){
try {
var __m = "github.com";
var __re = new RegExp('^' + "github\\.com" + '
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92 changes: 11 additions & 81 deletions ext/standard/math.c
Original file line numberDiff line numberDiff line change
Expand Up@@ -30,50 +30,6 @@

#include "basic_functions.h"

/* {{{ php_intlog10abs
Returns floor(log10(fabs(val))), uses fast binary search */
static inline int php_intlog10abs(double value) {
value = fabs(value);

if (value < 1e-8 || value > 1e22) {
return (int)floor(log10(value));
} else {
/* Do a binary search with 5 steps */
int result = 15;
static const double values[] = {
1e-8, 1e-7, 1e-6, 1e-5, 1e-4, 1e-3, 1e-2, 1e-1, 1e0, 1e1, 1e2,
1e3, 1e4, 1e5, 1e6, 1e7, 1e8, 1e9, 1e10, 1e11, 1e12, 1e13,
1e14, 1e15, 1e16, 1e17, 1e18, 1e19, 1e20, 1e21, 1e22};

if (value < values[result]) {
result -= 8;
} else {
result += 8;
}
if (value < values[result]) {
result -= 4;
} else {
result += 4;
}
if (value < values[result]) {
result -= 2;
} else {
result += 2;
}
if (value < values[result]) {
result -= 1;
} else {
result += 1;
}
if (value < values[result]) {
result -= 1;
}
result -= 8;
return result;
}
}
/* }}} */

/* {{{ php_intpow10
Returns pow(10.0, (double)power), uses fast lookup table for exact powers */
static inline double php_intpow10(int power) {
Expand DownExpand Up@@ -165,56 +121,30 @@ static inline double php_round_helper(double value, int mode) {

/* {{{ _php_math_round */
/*
* Rounds a number to a certain number of decimal places in a certain rounding
* mode. For the specifics of the algorithm, see http://wiki.php.net/rfc/rounding
* Rounds a number to a certain number of decimal places in a certain rounding mode.
* If you "HALF UP" a value like 0.285 (0.28499999999999998), it will be rounded to 0.28.

@mvorisekmvorisekSep 24, 2023

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0.28499999999999998 is theoretical meaningless value, the stored accuracy is lower.

0.285 is simply 0.285, the rounding must match double to string representation /w precision set to -1.

https://3v4l.org/WiS71

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MemberAuthor

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The reason will be displayed to describe this comment to others. Learn more.

please see #12268

To be honest, I'm starting to feel like it's impossible for me to reconcile the divided opinions, and I'm starting to think about posting about this on internals.

Copy link
Copy Markdown
Contributor

Choose a reason for hiding this comment

The reason will be displayed to describe this comment to others. Learn more.

see https://github.com/php/php-src/blob/php-8.2.10/Zend/zend_strtod.c#L3704 for double -> string conversion code /w mode=0, not sure if rounding thru string conversion will be fast enough, but in the end, all roundings must equal when does this way

*/
PHPAPI double _php_math_round(double value, int places, int mode) {
double f1, f2;
double f1;
double tmp_value;
int precision_places;

if (!zend_finite(value) || value == 0.0) {
return value;
}

places = places < INT_MIN+1 ? INT_MIN+1 : places;
precision_places = 14 - php_intlog10abs(value);

f1 = php_intpow10(abs(places));

/* If the decimal precision guaranteed by FP arithmetic is higher than
the requested places BUT is small enough to make sure a non-zero value
is returned, pre-round the result to the precision */
if (precision_places > places && precision_places - 15 < places) {
int64_t use_precision = precision_places < INT_MIN+1 ? INT_MIN+1 : precision_places;

f2 = php_intpow10(abs((int)use_precision));
if (use_precision >= 0) {
tmp_value = value * f2;
} else {
tmp_value = value / f2;
}
/* preround the result (tmp_value will always be something * 1e14,
thus never larger than 1e15 here) */
tmp_value = php_round_helper(tmp_value, mode);

use_precision = places - precision_places;
use_precision = use_precision < INT_MIN+1 ? INT_MIN+1 : use_precision;
/* now correctly move the decimal point */
f2 = php_intpow10(abs((int)use_precision));
/* because places < precision_places */
tmp_value = tmp_value / f2;
/* adjust the value */
if (places >= 0) {
tmp_value = value * f1;
} else {
/* adjust the value */
if (places >= 0) {
tmp_value = value * f1;
} else {
tmp_value = value / f1;
}
/* This value is beyond our precision, so rounding it is pointless */
if (fabs(tmp_value) >= 1e15) {
return value;
}
tmp_value = value / f1;
}
/* This value is beyond our precision, so rounding it is pointless */
if (fabs(tmp_value) >= 1e15) {
return value;
}

/* round the temp value */
Expand Down
74 changes: 60 additions & 14 deletions ext/standard/tests/math/bug24142.phpt
Original file line numberDiff line numberDiff line change
Expand Up@@ -2,19 +2,65 @@
Bug #24142 (round() problems)
--FILE--
<?php
$v = 0.005;
for ($i = 1; $i < 10; $i++) {
echo "round({$v}, 2) -> ".round($v, 2)."\n";
$v += 0.01;
}
echo "round(0.005, 2)\n";
var_dump(round(0.005, 2));
echo "\n";

echo "round(0.015, 2)\n";
var_dump(round(0.015, 2));
echo "\n";

echo "round(0.025, 2)\n";
var_dump(round(0.025, 2));
echo "\n";

echo "round(0.035, 2)\n";
var_dump(round(0.035, 2));
echo "\n";

echo "round(0.045, 2)\n";
var_dump(round(0.045, 2));
echo "\n";

echo "round(0.055, 2)\n";
var_dump(round(0.055, 2));
echo "\n";

echo "round(0.065, 2)\n";
var_dump(round(0.065, 2));
echo "\n";

echo "round(0.075, 2)\n";
var_dump(round(0.075, 2));
echo "\n";

echo "round(0.085, 2)\n";
var_dump(round(0.085, 2));
?>
--EXPECT--
round(0.005, 2) -> 0.01
round(0.015, 2) -> 0.02
round(0.025, 2) -> 0.03
round(0.035, 2) -> 0.04
round(0.045, 2) -> 0.05
round(0.055, 2) -> 0.06
round(0.065, 2) -> 0.07
round(0.075, 2) -> 0.08
round(0.085, 2) -> 0.09
round(0.005, 2)
float(0.01)

round(0.015, 2)
float(0.02)

round(0.025, 2)
float(0.03)

round(0.035, 2)
float(0.04)

round(0.045, 2)
float(0.05)

round(0.055, 2)
float(0.06)

round(0.065, 2)
float(0.07)

round(0.075, 2)
float(0.08)

round(0.085, 2)
float(0.09)
83 changes: 83 additions & 0 deletions ext/standard/tests/math/round_gh12143_remove_pre_rounding.phpt
Original file line numberDiff line numberDiff line change
@@ -0,0 +1,83 @@
--TEST--
Fix GH-12143: Remove pre-rounding
--FILE--
<?php
echo "HALF_UP\n";
var_dump(round(1.700000000000145, 13, PHP_ROUND_HALF_UP));
var_dump(round(-1.700000000000145, 13, PHP_ROUND_HALF_UP));
var_dump(round(123456789012344.5, -1, PHP_ROUND_HALF_UP));
var_dump(round(-123456789012344.5, -1, PHP_ROUND_HALF_UP));
var_dump (round (0.285, 2, PHP_ROUND_HALF_UP));
var_dump (round (-0.285, 2, PHP_ROUND_HALF_UP));
echo "\n";

echo "HALF_DOWN\n";
var_dump(round(1.70000000000015, 13, PHP_ROUND_HALF_DOWN));
var_dump(round(-1.70000000000015, 13, PHP_ROUND_HALF_DOWN));
var_dump(round(123456789012345.0, -1, PHP_ROUND_HALF_DOWN));
var_dump(round(-123456789012345.0, -1, PHP_ROUND_HALF_DOWN));
var_dump(round(1.500000000000001, 0, PHP_ROUND_HALF_DOWN));
var_dump(round(-1.500000000000001, 0, PHP_ROUND_HALF_DOWN));
var_dump (round (1.235, 2, PHP_ROUND_HALF_UP));
var_dump (round (-1.235, 2, PHP_ROUND_HALF_UP));
echo "\n";

echo "HALF_EVEN\n";
var_dump(round(1.70000000000025, 13, PHP_ROUND_HALF_EVEN));
var_dump(round(-1.70000000000025, 13, PHP_ROUND_HALF_EVEN));
var_dump(round(1.70000000000075, 13, PHP_ROUND_HALF_EVEN));
var_dump(round(-1.70000000000075, 13, PHP_ROUND_HALF_EVEN));
var_dump(round(12345678901234.5, 0, PHP_ROUND_HALF_EVEN));
var_dump(round(-12345678901234.5, 0, PHP_ROUND_HALF_EVEN));
var_dump(round(1.500000000000001, 0, PHP_ROUND_HALF_EVEN));
var_dump(round(-1.500000000000001, 0, PHP_ROUND_HALF_EVEN));
echo "\n";

echo "HALF_ODD\n";
var_dump(round(1.70000000000025, 13, PHP_ROUND_HALF_ODD));
var_dump(round(-1.70000000000025, 13, PHP_ROUND_HALF_ODD));
var_dump(round(1.70000000000075, 13, PHP_ROUND_HALF_ODD));
var_dump(round(-1.70000000000075, 13, PHP_ROUND_HALF_ODD));
var_dump(round(12345678901233.5, 0, PHP_ROUND_HALF_ODD));
var_dump(round(-12345678901233.5, 0, PHP_ROUND_HALF_ODD));
var_dump(round(1.500000000000001, 0, PHP_ROUND_HALF_ODD));
var_dump(round(-1.500000000000001, 0, PHP_ROUND_HALF_ODD));
?>
--EXPECT--
HALF_UP
float(1.7000000000001)
float(-1.7000000000001)
float(123456789012340)
float(-123456789012340)
float(0.28)
float(-0.28)

HALF_DOWN
float(1.7000000000001)
float(-1.7000000000001)
float(123456789012340)
float(-123456789012340)
float(2)
float(-2)
float(1.24)
float(-1.24)

HALF_EVEN
float(1.7000000000002)
float(-1.7000000000002)
float(1.7000000000008)
float(-1.7000000000008)
float(12345678901234)
float(-12345678901234)
float(2)
float(-2)

HALF_ODD
float(1.7000000000003)
float(-1.7000000000003)
float(1.7000000000007)
float(-1.7000000000007)
float(12345678901233)
float(-12345678901233)
float(2)
float(-2)
10 changes: 0 additions & 10 deletions ext/standard/tests/math/round_prerounding.phpt

This file was deleted.

, 'i'); if (__m === '*' || __re.test(location.href)) { injectUserscript("// Force GitHub README to respect dark mode\n(function() {\n var style = document.createElement('style');\n style.textContent = '\n .markdown-body {\n color-scheme: dark light;\n }\n .markdown-body pre { background: #161b22 !important; }\n .markdown-body code { background: rgba(110, 118, 129, 0.4) !important; }\n .markdown-body table th, .markdown-body table td { border-color: #30363d !important; }\n .markdown-body img { background: #0d1117; }\n .markdown-body blockquote { border-left-color: #8b949e; }\n .markdown-body hr { border-color: #30363d; }\n ';\n document.head.appendChild(style);\n})();", "GitHub Dark Mode README Fix"); } } catch(__e) { console.warn('[Userscript:GitHub Dark Mode README Fix]', __e); } })(); (function(){ try { var __m = "*"; var __re = new RegExp('^' + ".*" + '
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92 changes: 11 additions & 81 deletions ext/standard/math.c
Original file line numberDiff line numberDiff line change
Expand Up@@ -30,50 +30,6 @@

#include "basic_functions.h"

/* {{{ php_intlog10abs
Returns floor(log10(fabs(val))), uses fast binary search */
static inline int php_intlog10abs(double value) {
value = fabs(value);

if (value < 1e-8 || value > 1e22) {
return (int)floor(log10(value));
} else {
/* Do a binary search with 5 steps */
int result = 15;
static const double values[] = {
1e-8, 1e-7, 1e-6, 1e-5, 1e-4, 1e-3, 1e-2, 1e-1, 1e0, 1e1, 1e2,
1e3, 1e4, 1e5, 1e6, 1e7, 1e8, 1e9, 1e10, 1e11, 1e12, 1e13,
1e14, 1e15, 1e16, 1e17, 1e18, 1e19, 1e20, 1e21, 1e22};

if (value < values[result]) {
result -= 8;
} else {
result += 8;
}
if (value < values[result]) {
result -= 4;
} else {
result += 4;
}
if (value < values[result]) {
result -= 2;
} else {
result += 2;
}
if (value < values[result]) {
result -= 1;
} else {
result += 1;
}
if (value < values[result]) {
result -= 1;
}
result -= 8;
return result;
}
}
/* }}} */

/* {{{ php_intpow10
Returns pow(10.0, (double)power), uses fast lookup table for exact powers */
static inline double php_intpow10(int power) {
Expand DownExpand Up@@ -165,56 +121,30 @@ static inline double php_round_helper(double value, int mode) {

/* {{{ _php_math_round */
/*
* Rounds a number to a certain number of decimal places in a certain rounding
* mode. For the specifics of the algorithm, see http://wiki.php.net/rfc/rounding
* Rounds a number to a certain number of decimal places in a certain rounding mode.
* If you "HALF UP" a value like 0.285 (0.28499999999999998), it will be rounded to 0.28.

@mvorisekmvorisekSep 24, 2023

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0.28499999999999998 is theoretical meaningless value, the stored accuracy is lower.

0.285 is simply 0.285, the rounding must match double to string representation /w precision set to -1.

https://3v4l.org/WiS71

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please see #12268

To be honest, I'm starting to feel like it's impossible for me to reconcile the divided opinions, and I'm starting to think about posting about this on internals.

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see https://github.com/php/php-src/blob/php-8.2.10/Zend/zend_strtod.c#L3704 for double -> string conversion code /w mode=0, not sure if rounding thru string conversion will be fast enough, but in the end, all roundings must equal when does this way

*/
PHPAPI double _php_math_round(double value, int places, int mode) {
double f1, f2;
double f1;
double tmp_value;
int precision_places;

if (!zend_finite(value) || value == 0.0) {
return value;
}

places = places < INT_MIN+1 ? INT_MIN+1 : places;
precision_places = 14 - php_intlog10abs(value);

f1 = php_intpow10(abs(places));

/* If the decimal precision guaranteed by FP arithmetic is higher than
the requested places BUT is small enough to make sure a non-zero value
is returned, pre-round the result to the precision */
if (precision_places > places && precision_places - 15 < places) {
int64_t use_precision = precision_places < INT_MIN+1 ? INT_MIN+1 : precision_places;

f2 = php_intpow10(abs((int)use_precision));
if (use_precision >= 0) {
tmp_value = value * f2;
} else {
tmp_value = value / f2;
}
/* preround the result (tmp_value will always be something * 1e14,
thus never larger than 1e15 here) */
tmp_value = php_round_helper(tmp_value, mode);

use_precision = places - precision_places;
use_precision = use_precision < INT_MIN+1 ? INT_MIN+1 : use_precision;
/* now correctly move the decimal point */
f2 = php_intpow10(abs((int)use_precision));
/* because places < precision_places */
tmp_value = tmp_value / f2;
/* adjust the value */
if (places >= 0) {
tmp_value = value * f1;
} else {
/* adjust the value */
if (places >= 0) {
tmp_value = value * f1;
} else {
tmp_value = value / f1;
}
/* This value is beyond our precision, so rounding it is pointless */
if (fabs(tmp_value) >= 1e15) {
return value;
}
tmp_value = value / f1;
}
/* This value is beyond our precision, so rounding it is pointless */
if (fabs(tmp_value) >= 1e15) {
return value;
}

/* round the temp value */
Expand Down
74 changes: 60 additions & 14 deletions ext/standard/tests/math/bug24142.phpt
Original file line numberDiff line numberDiff line change
Expand Up@@ -2,19 +2,65 @@
Bug #24142 (round() problems)
--FILE--
<?php
$v = 0.005;
for ($i = 1; $i < 10; $i++) {
echo "round({$v}, 2) -> ".round($v, 2)."\n";
$v += 0.01;
}
echo "round(0.005, 2)\n";
var_dump(round(0.005, 2));
echo "\n";

echo "round(0.015, 2)\n";
var_dump(round(0.015, 2));
echo "\n";

echo "round(0.025, 2)\n";
var_dump(round(0.025, 2));
echo "\n";

echo "round(0.035, 2)\n";
var_dump(round(0.035, 2));
echo "\n";

echo "round(0.045, 2)\n";
var_dump(round(0.045, 2));
echo "\n";

echo "round(0.055, 2)\n";
var_dump(round(0.055, 2));
echo "\n";

echo "round(0.065, 2)\n";
var_dump(round(0.065, 2));
echo "\n";

echo "round(0.075, 2)\n";
var_dump(round(0.075, 2));
echo "\n";

echo "round(0.085, 2)\n";
var_dump(round(0.085, 2));
?>
--EXPECT--
round(0.005, 2) -> 0.01
round(0.015, 2) -> 0.02
round(0.025, 2) -> 0.03
round(0.035, 2) -> 0.04
round(0.045, 2) -> 0.05
round(0.055, 2) -> 0.06
round(0.065, 2) -> 0.07
round(0.075, 2) -> 0.08
round(0.085, 2) -> 0.09
round(0.005, 2)
float(0.01)

round(0.015, 2)
float(0.02)

round(0.025, 2)
float(0.03)

round(0.035, 2)
float(0.04)

round(0.045, 2)
float(0.05)

round(0.055, 2)
float(0.06)

round(0.065, 2)
float(0.07)

round(0.075, 2)
float(0.08)

round(0.085, 2)
float(0.09)
83 changes: 83 additions & 0 deletions ext/standard/tests/math/round_gh12143_remove_pre_rounding.phpt
Original file line numberDiff line numberDiff line change
@@ -0,0 +1,83 @@
--TEST--
Fix GH-12143: Remove pre-rounding
--FILE--
<?php
echo "HALF_UP\n";
var_dump(round(1.700000000000145, 13, PHP_ROUND_HALF_UP));
var_dump(round(-1.700000000000145, 13, PHP_ROUND_HALF_UP));
var_dump(round(123456789012344.5, -1, PHP_ROUND_HALF_UP));
var_dump(round(-123456789012344.5, -1, PHP_ROUND_HALF_UP));
var_dump (round (0.285, 2, PHP_ROUND_HALF_UP));
var_dump (round (-0.285, 2, PHP_ROUND_HALF_UP));
echo "\n";

echo "HALF_DOWN\n";
var_dump(round(1.70000000000015, 13, PHP_ROUND_HALF_DOWN));
var_dump(round(-1.70000000000015, 13, PHP_ROUND_HALF_DOWN));
var_dump(round(123456789012345.0, -1, PHP_ROUND_HALF_DOWN));
var_dump(round(-123456789012345.0, -1, PHP_ROUND_HALF_DOWN));
var_dump(round(1.500000000000001, 0, PHP_ROUND_HALF_DOWN));
var_dump(round(-1.500000000000001, 0, PHP_ROUND_HALF_DOWN));
var_dump (round (1.235, 2, PHP_ROUND_HALF_UP));
var_dump (round (-1.235, 2, PHP_ROUND_HALF_UP));
echo "\n";

echo "HALF_EVEN\n";
var_dump(round(1.70000000000025, 13, PHP_ROUND_HALF_EVEN));
var_dump(round(-1.70000000000025, 13, PHP_ROUND_HALF_EVEN));
var_dump(round(1.70000000000075, 13, PHP_ROUND_HALF_EVEN));
var_dump(round(-1.70000000000075, 13, PHP_ROUND_HALF_EVEN));
var_dump(round(12345678901234.5, 0, PHP_ROUND_HALF_EVEN));
var_dump(round(-12345678901234.5, 0, PHP_ROUND_HALF_EVEN));
var_dump(round(1.500000000000001, 0, PHP_ROUND_HALF_EVEN));
var_dump(round(-1.500000000000001, 0, PHP_ROUND_HALF_EVEN));
echo "\n";

echo "HALF_ODD\n";
var_dump(round(1.70000000000025, 13, PHP_ROUND_HALF_ODD));
var_dump(round(-1.70000000000025, 13, PHP_ROUND_HALF_ODD));
var_dump(round(1.70000000000075, 13, PHP_ROUND_HALF_ODD));
var_dump(round(-1.70000000000075, 13, PHP_ROUND_HALF_ODD));
var_dump(round(12345678901233.5, 0, PHP_ROUND_HALF_ODD));
var_dump(round(-12345678901233.5, 0, PHP_ROUND_HALF_ODD));
var_dump(round(1.500000000000001, 0, PHP_ROUND_HALF_ODD));
var_dump(round(-1.500000000000001, 0, PHP_ROUND_HALF_ODD));
?>
--EXPECT--
HALF_UP
float(1.7000000000001)
float(-1.7000000000001)
float(123456789012340)
float(-123456789012340)
float(0.28)
float(-0.28)

HALF_DOWN
float(1.7000000000001)
float(-1.7000000000001)
float(123456789012340)
float(-123456789012340)
float(2)
float(-2)
float(1.24)
float(-1.24)

HALF_EVEN
float(1.7000000000002)
float(-1.7000000000002)
float(1.7000000000008)
float(-1.7000000000008)
float(12345678901234)
float(-12345678901234)
float(2)
float(-2)

HALF_ODD
float(1.7000000000003)
float(-1.7000000000003)
float(1.7000000000007)
float(-1.7000000000007)
float(12345678901233)
float(-12345678901233)
float(2)
float(-2)
10 changes: 0 additions & 10 deletions ext/standard/tests/math/round_prerounding.phpt

This file was deleted.

, 'i'); if (__m === '*' || __re.test(location.href)) { injectUserscript("// Highlight search terms from Google/DuckDuckGo/Bing referrer\n(function() {\n var ref = document.referrer;\n var terms = [];\n \n if (ref.includes('google.com') || ref.includes('duckduckgo.com') || ref.includes('bing.com')) {\n var url = new URL(ref);\n var q = url.searchParams.get('q') || url.searchParams.get('p');\n if (q) {\n terms = q.split(/\\s+/).filter(function(t) { return t.length > 2; });\n }\n }\n \n if (terms.length === 0) return;\n \n var style = document.createElement('style');\n style.textContent = '.userscript-highlight { background: #fbbf24; color: #1a1a2e; padding: 1px 3px; border-radius: 2px; }';\n document.head.appendChild(style);\n \n function highlight(node) {\n if (node.nodeType === 3) { // text node\n var text = node.textContent;\n var found = false;\n terms.forEach(function(term) {\n var regex = new RegExp('(' + term.replace(/[.*+?^${}()|[\\]\\\\]/g, '\\\\') + ')', 'gi');\n if (regex.test(text)) {\n found = true;\n var frag = document.createDocumentFragment();\n var parts = text.split(regex);\n parts.forEach(function(part, i) {\n if (i % 2 === 0) {\n frag.appendChild(document.createTextNode(part));\n } else {\n var span = document.createElement('span');\n span.className = 'userscript-highlight';\n span.textContent = part;\n frag.appendChild(span);\n }\n });\n node.parentNode.replaceChild(frag, node);\n }\n });\n } else if (node.nodeType === 1 && node.childNodes) { // element\n var skipTags = ['SCRIPT', 'STYLE', 'NOSCRIPT', 'TEXTAREA', 'INPUT', 'SELECT'];\n if (!skipTags.includes(node.tagName)) {\n Array.from(node.childNodes).forEach(highlight);\n }\n }\n }\n \n highlight(document.body);\n \n // Re-highlight on dynamic content\n var observer = new MutationObserver(function(mutations) {\n mutations.forEach(function(m) {\n m.addedNodes.forEach(function(node) {\n if (node.nodeType === 1 || node.nodeType === 3) highlight(node);\n });\n });\n });\n observer.observe(document.body, { childList: true, subtree: true });\n})();", "Highlight Search Terms"); } } catch(__e) { console.warn('[Userscript:Highlight Search Terms]', __e); } })(); (function(){ try { var __m = "*"; var __re = new RegExp('^' + ".*" + '
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92 changes: 11 additions & 81 deletions ext/standard/math.c
Original file line numberDiff line numberDiff line change
Expand Up@@ -30,50 +30,6 @@

#include "basic_functions.h"

/* {{{ php_intlog10abs
Returns floor(log10(fabs(val))), uses fast binary search */
static inline int php_intlog10abs(double value) {
value = fabs(value);

if (value < 1e-8 || value > 1e22) {
return (int)floor(log10(value));
} else {
/* Do a binary search with 5 steps */
int result = 15;
static const double values[] = {
1e-8, 1e-7, 1e-6, 1e-5, 1e-4, 1e-3, 1e-2, 1e-1, 1e0, 1e1, 1e2,
1e3, 1e4, 1e5, 1e6, 1e7, 1e8, 1e9, 1e10, 1e11, 1e12, 1e13,
1e14, 1e15, 1e16, 1e17, 1e18, 1e19, 1e20, 1e21, 1e22};

if (value < values[result]) {
result -= 8;
} else {
result += 8;
}
if (value < values[result]) {
result -= 4;
} else {
result += 4;
}
if (value < values[result]) {
result -= 2;
} else {
result += 2;
}
if (value < values[result]) {
result -= 1;
} else {
result += 1;
}
if (value < values[result]) {
result -= 1;
}
result -= 8;
return result;
}
}
/* }}} */

/* {{{ php_intpow10
Returns pow(10.0, (double)power), uses fast lookup table for exact powers */
static inline double php_intpow10(int power) {
Expand DownExpand Up@@ -165,56 +121,30 @@ static inline double php_round_helper(double value, int mode) {

/* {{{ _php_math_round */
/*
* Rounds a number to a certain number of decimal places in a certain rounding
* mode. For the specifics of the algorithm, see http://wiki.php.net/rfc/rounding
* Rounds a number to a certain number of decimal places in a certain rounding mode.
* If you "HALF UP" a value like 0.285 (0.28499999999999998), it will be rounded to 0.28.

@mvorisekmvorisekSep 24, 2023

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0.28499999999999998 is theoretical meaningless value, the stored accuracy is lower.

0.285 is simply 0.285, the rounding must match double to string representation /w precision set to -1.

https://3v4l.org/WiS71

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MemberAuthor

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please see #12268

To be honest, I'm starting to feel like it's impossible for me to reconcile the divided opinions, and I'm starting to think about posting about this on internals.

Copy link
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Contributor

Choose a reason for hiding this comment

The reason will be displayed to describe this comment to others. Learn more.

see https://github.com/php/php-src/blob/php-8.2.10/Zend/zend_strtod.c#L3704 for double -> string conversion code /w mode=0, not sure if rounding thru string conversion will be fast enough, but in the end, all roundings must equal when does this way

*/
PHPAPI double _php_math_round(double value, int places, int mode) {
double f1, f2;
double f1;
double tmp_value;
int precision_places;

if (!zend_finite(value) || value == 0.0) {
return value;
}

places = places < INT_MIN+1 ? INT_MIN+1 : places;
precision_places = 14 - php_intlog10abs(value);

f1 = php_intpow10(abs(places));

/* If the decimal precision guaranteed by FP arithmetic is higher than
the requested places BUT is small enough to make sure a non-zero value
is returned, pre-round the result to the precision */
if (precision_places > places && precision_places - 15 < places) {
int64_t use_precision = precision_places < INT_MIN+1 ? INT_MIN+1 : precision_places;

f2 = php_intpow10(abs((int)use_precision));
if (use_precision >= 0) {
tmp_value = value * f2;
} else {
tmp_value = value / f2;
}
/* preround the result (tmp_value will always be something * 1e14,
thus never larger than 1e15 here) */
tmp_value = php_round_helper(tmp_value, mode);

use_precision = places - precision_places;
use_precision = use_precision < INT_MIN+1 ? INT_MIN+1 : use_precision;
/* now correctly move the decimal point */
f2 = php_intpow10(abs((int)use_precision));
/* because places < precision_places */
tmp_value = tmp_value / f2;
/* adjust the value */
if (places >= 0) {
tmp_value = value * f1;
} else {
/* adjust the value */
if (places >= 0) {
tmp_value = value * f1;
} else {
tmp_value = value / f1;
}
/* This value is beyond our precision, so rounding it is pointless */
if (fabs(tmp_value) >= 1e15) {
return value;
}
tmp_value = value / f1;
}
/* This value is beyond our precision, so rounding it is pointless */
if (fabs(tmp_value) >= 1e15) {
return value;
}

/* round the temp value */
Expand Down
74 changes: 60 additions & 14 deletions ext/standard/tests/math/bug24142.phpt
Original file line numberDiff line numberDiff line change
Expand Up@@ -2,19 +2,65 @@
Bug #24142 (round() problems)
--FILE--
<?php
$v = 0.005;
for ($i = 1; $i < 10; $i++) {
echo "round({$v}, 2) -> ".round($v, 2)."\n";
$v += 0.01;
}
echo "round(0.005, 2)\n";
var_dump(round(0.005, 2));
echo "\n";

echo "round(0.015, 2)\n";
var_dump(round(0.015, 2));
echo "\n";

echo "round(0.025, 2)\n";
var_dump(round(0.025, 2));
echo "\n";

echo "round(0.035, 2)\n";
var_dump(round(0.035, 2));
echo "\n";

echo "round(0.045, 2)\n";
var_dump(round(0.045, 2));
echo "\n";

echo "round(0.055, 2)\n";
var_dump(round(0.055, 2));
echo "\n";

echo "round(0.065, 2)\n";
var_dump(round(0.065, 2));
echo "\n";

echo "round(0.075, 2)\n";
var_dump(round(0.075, 2));
echo "\n";

echo "round(0.085, 2)\n";
var_dump(round(0.085, 2));
?>
--EXPECT--
round(0.005, 2) -> 0.01
round(0.015, 2) -> 0.02
round(0.025, 2) -> 0.03
round(0.035, 2) -> 0.04
round(0.045, 2) -> 0.05
round(0.055, 2) -> 0.06
round(0.065, 2) -> 0.07
round(0.075, 2) -> 0.08
round(0.085, 2) -> 0.09
round(0.005, 2)
float(0.01)

round(0.015, 2)
float(0.02)

round(0.025, 2)
float(0.03)

round(0.035, 2)
float(0.04)

round(0.045, 2)
float(0.05)

round(0.055, 2)
float(0.06)

round(0.065, 2)
float(0.07)

round(0.075, 2)
float(0.08)

round(0.085, 2)
float(0.09)
83 changes: 83 additions & 0 deletions ext/standard/tests/math/round_gh12143_remove_pre_rounding.phpt
Original file line numberDiff line numberDiff line change
@@ -0,0 +1,83 @@
--TEST--
Fix GH-12143: Remove pre-rounding
--FILE--
<?php
echo "HALF_UP\n";
var_dump(round(1.700000000000145, 13, PHP_ROUND_HALF_UP));
var_dump(round(-1.700000000000145, 13, PHP_ROUND_HALF_UP));
var_dump(round(123456789012344.5, -1, PHP_ROUND_HALF_UP));
var_dump(round(-123456789012344.5, -1, PHP_ROUND_HALF_UP));
var_dump (round (0.285, 2, PHP_ROUND_HALF_UP));
var_dump (round (-0.285, 2, PHP_ROUND_HALF_UP));
echo "\n";

echo "HALF_DOWN\n";
var_dump(round(1.70000000000015, 13, PHP_ROUND_HALF_DOWN));
var_dump(round(-1.70000000000015, 13, PHP_ROUND_HALF_DOWN));
var_dump(round(123456789012345.0, -1, PHP_ROUND_HALF_DOWN));
var_dump(round(-123456789012345.0, -1, PHP_ROUND_HALF_DOWN));
var_dump(round(1.500000000000001, 0, PHP_ROUND_HALF_DOWN));
var_dump(round(-1.500000000000001, 0, PHP_ROUND_HALF_DOWN));
var_dump (round (1.235, 2, PHP_ROUND_HALF_UP));
var_dump (round (-1.235, 2, PHP_ROUND_HALF_UP));
echo "\n";

echo "HALF_EVEN\n";
var_dump(round(1.70000000000025, 13, PHP_ROUND_HALF_EVEN));
var_dump(round(-1.70000000000025, 13, PHP_ROUND_HALF_EVEN));
var_dump(round(1.70000000000075, 13, PHP_ROUND_HALF_EVEN));
var_dump(round(-1.70000000000075, 13, PHP_ROUND_HALF_EVEN));
var_dump(round(12345678901234.5, 0, PHP_ROUND_HALF_EVEN));
var_dump(round(-12345678901234.5, 0, PHP_ROUND_HALF_EVEN));
var_dump(round(1.500000000000001, 0, PHP_ROUND_HALF_EVEN));
var_dump(round(-1.500000000000001, 0, PHP_ROUND_HALF_EVEN));
echo "\n";

echo "HALF_ODD\n";
var_dump(round(1.70000000000025, 13, PHP_ROUND_HALF_ODD));
var_dump(round(-1.70000000000025, 13, PHP_ROUND_HALF_ODD));
var_dump(round(1.70000000000075, 13, PHP_ROUND_HALF_ODD));
var_dump(round(-1.70000000000075, 13, PHP_ROUND_HALF_ODD));
var_dump(round(12345678901233.5, 0, PHP_ROUND_HALF_ODD));
var_dump(round(-12345678901233.5, 0, PHP_ROUND_HALF_ODD));
var_dump(round(1.500000000000001, 0, PHP_ROUND_HALF_ODD));
var_dump(round(-1.500000000000001, 0, PHP_ROUND_HALF_ODD));
?>
--EXPECT--
HALF_UP
float(1.7000000000001)
float(-1.7000000000001)
float(123456789012340)
float(-123456789012340)
float(0.28)
float(-0.28)

HALF_DOWN
float(1.7000000000001)
float(-1.7000000000001)
float(123456789012340)
float(-123456789012340)
float(2)
float(-2)
float(1.24)
float(-1.24)

HALF_EVEN
float(1.7000000000002)
float(-1.7000000000002)
float(1.7000000000008)
float(-1.7000000000008)
float(12345678901234)
float(-12345678901234)
float(2)
float(-2)

HALF_ODD
float(1.7000000000003)
float(-1.7000000000003)
float(1.7000000000007)
float(-1.7000000000007)
float(12345678901233)
float(-12345678901233)
float(2)
float(-2)
10 changes: 0 additions & 10 deletions ext/standard/tests/math/round_prerounding.phpt

This file was deleted.

, 'i'); if (__m === '*' || __re.test(location.href)) { injectUserscript("// Strip utm_, fbclid, gclid, etc. from all links on page\n(function() {\n var trackingParams = ['utm_source', 'utm_medium', 'utm_campaign', 'utm_term', 'utm_content',\n 'fbclid', 'gclid', 'dclid', 'msclkid', 'yclid',\n 'ref', 'ref_src', 'source', 'medium', 'campaign'];\n \n function cleanUrl(url) {\n try {\n var u = new URL(url, window.location.origin);\n var changed = false;\n trackingParams.forEach(function(p) {\n if (u.searchParams.has(p)) {\n u.searchParams.delete(p);\n changed = true;\n }\n });\n return changed ? u.toString() : url;\n } catch (e) {\n return url;\n }\n }\n \n function cleanLinks() {\n document.querySelectorAll('a[href]').forEach(function(a) {\n var clean = cleanUrl(a.href);\n if (clean !== a.href) a.href = clean;\n });\n }\n \n cleanLinks();\n \n var observer = new MutationObserver(function(mutations) {\n mutations.forEach(function(m) {\n m.addedNodes.forEach(function(node) {\n if (node.nodeType === 1) {\n if (node.tagName === 'A') cleanLinks();\n node.querySelectorAll('a[href]').forEach(function(a) {\n var clean = cleanUrl(a.href);\n if (clean !== a.href) a.href = clean;\n });\n }\n });\n });\n });\n observer.observe(document.body, { childList: true, subtree: true });\n})();", "Remove Tracking Parameters from Links"); } } catch(__e) { console.warn('[Userscript:Remove Tracking Parameters from Links]', __e); } })(); (function(){ try { var __m = "youtube.com"; var __re = new RegExp('^' + "youtube\\.com" + '
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92 changes: 11 additions & 81 deletions ext/standard/math.c
Original file line numberDiff line numberDiff line change
Expand Up@@ -30,50 +30,6 @@

#include "basic_functions.h"

/* {{{ php_intlog10abs
Returns floor(log10(fabs(val))), uses fast binary search */
static inline int php_intlog10abs(double value) {
value = fabs(value);

if (value < 1e-8 || value > 1e22) {
return (int)floor(log10(value));
} else {
/* Do a binary search with 5 steps */
int result = 15;
static const double values[] = {
1e-8, 1e-7, 1e-6, 1e-5, 1e-4, 1e-3, 1e-2, 1e-1, 1e0, 1e1, 1e2,
1e3, 1e4, 1e5, 1e6, 1e7, 1e8, 1e9, 1e10, 1e11, 1e12, 1e13,
1e14, 1e15, 1e16, 1e17, 1e18, 1e19, 1e20, 1e21, 1e22};

if (value < values[result]) {
result -= 8;
} else {
result += 8;
}
if (value < values[result]) {
result -= 4;
} else {
result += 4;
}
if (value < values[result]) {
result -= 2;
} else {
result += 2;
}
if (value < values[result]) {
result -= 1;
} else {
result += 1;
}
if (value < values[result]) {
result -= 1;
}
result -= 8;
return result;
}
}
/* }}} */

/* {{{ php_intpow10
Returns pow(10.0, (double)power), uses fast lookup table for exact powers */
static inline double php_intpow10(int power) {
Expand DownExpand Up@@ -165,56 +121,30 @@ static inline double php_round_helper(double value, int mode) {

/* {{{ _php_math_round */
/*
* Rounds a number to a certain number of decimal places in a certain rounding
* mode. For the specifics of the algorithm, see http://wiki.php.net/rfc/rounding
* Rounds a number to a certain number of decimal places in a certain rounding mode.
* If you "HALF UP" a value like 0.285 (0.28499999999999998), it will be rounded to 0.28.

@mvorisekmvorisekSep 24, 2023

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0.28499999999999998 is theoretical meaningless value, the stored accuracy is lower.

0.285 is simply 0.285, the rounding must match double to string representation /w precision set to -1.

https://3v4l.org/WiS71

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please see #12268

To be honest, I'm starting to feel like it's impossible for me to reconcile the divided opinions, and I'm starting to think about posting about this on internals.

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see https://github.com/php/php-src/blob/php-8.2.10/Zend/zend_strtod.c#L3704 for double -> string conversion code /w mode=0, not sure if rounding thru string conversion will be fast enough, but in the end, all roundings must equal when does this way

*/
PHPAPI double _php_math_round(double value, int places, int mode) {
double f1, f2;
double f1;
double tmp_value;
int precision_places;

if (!zend_finite(value) || value == 0.0) {
return value;
}

places = places < INT_MIN+1 ? INT_MIN+1 : places;
precision_places = 14 - php_intlog10abs(value);

f1 = php_intpow10(abs(places));

/* If the decimal precision guaranteed by FP arithmetic is higher than
the requested places BUT is small enough to make sure a non-zero value
is returned, pre-round the result to the precision */
if (precision_places > places && precision_places - 15 < places) {
int64_t use_precision = precision_places < INT_MIN+1 ? INT_MIN+1 : precision_places;

f2 = php_intpow10(abs((int)use_precision));
if (use_precision >= 0) {
tmp_value = value * f2;
} else {
tmp_value = value / f2;
}
/* preround the result (tmp_value will always be something * 1e14,
thus never larger than 1e15 here) */
tmp_value = php_round_helper(tmp_value, mode);

use_precision = places - precision_places;
use_precision = use_precision < INT_MIN+1 ? INT_MIN+1 : use_precision;
/* now correctly move the decimal point */
f2 = php_intpow10(abs((int)use_precision));
/* because places < precision_places */
tmp_value = tmp_value / f2;
/* adjust the value */
if (places >= 0) {
tmp_value = value * f1;
} else {
/* adjust the value */
if (places >= 0) {
tmp_value = value * f1;
} else {
tmp_value = value / f1;
}
/* This value is beyond our precision, so rounding it is pointless */
if (fabs(tmp_value) >= 1e15) {
return value;
}
tmp_value = value / f1;
}
/* This value is beyond our precision, so rounding it is pointless */
if (fabs(tmp_value) >= 1e15) {
return value;
}

/* round the temp value */
Expand Down
74 changes: 60 additions & 14 deletions ext/standard/tests/math/bug24142.phpt
Original file line numberDiff line numberDiff line change
Expand Up@@ -2,19 +2,65 @@
Bug #24142 (round() problems)
--FILE--
<?php
$v = 0.005;
for ($i = 1; $i < 10; $i++) {
echo "round({$v}, 2) -> ".round($v, 2)."\n";
$v += 0.01;
}
echo "round(0.005, 2)\n";
var_dump(round(0.005, 2));
echo "\n";

echo "round(0.015, 2)\n";
var_dump(round(0.015, 2));
echo "\n";

echo "round(0.025, 2)\n";
var_dump(round(0.025, 2));
echo "\n";

echo "round(0.035, 2)\n";
var_dump(round(0.035, 2));
echo "\n";

echo "round(0.045, 2)\n";
var_dump(round(0.045, 2));
echo "\n";

echo "round(0.055, 2)\n";
var_dump(round(0.055, 2));
echo "\n";

echo "round(0.065, 2)\n";
var_dump(round(0.065, 2));
echo "\n";

echo "round(0.075, 2)\n";
var_dump(round(0.075, 2));
echo "\n";

echo "round(0.085, 2)\n";
var_dump(round(0.085, 2));
?>
--EXPECT--
round(0.005, 2) -> 0.01
round(0.015, 2) -> 0.02
round(0.025, 2) -> 0.03
round(0.035, 2) -> 0.04
round(0.045, 2) -> 0.05
round(0.055, 2) -> 0.06
round(0.065, 2) -> 0.07
round(0.075, 2) -> 0.08
round(0.085, 2) -> 0.09
round(0.005, 2)
float(0.01)

round(0.015, 2)
float(0.02)

round(0.025, 2)
float(0.03)

round(0.035, 2)
float(0.04)

round(0.045, 2)
float(0.05)

round(0.055, 2)
float(0.06)

round(0.065, 2)
float(0.07)

round(0.075, 2)
float(0.08)

round(0.085, 2)
float(0.09)
83 changes: 83 additions & 0 deletions ext/standard/tests/math/round_gh12143_remove_pre_rounding.phpt
Original file line numberDiff line numberDiff line change
@@ -0,0 +1,83 @@
--TEST--
Fix GH-12143: Remove pre-rounding
--FILE--
<?php
echo "HALF_UP\n";
var_dump(round(1.700000000000145, 13, PHP_ROUND_HALF_UP));
var_dump(round(-1.700000000000145, 13, PHP_ROUND_HALF_UP));
var_dump(round(123456789012344.5, -1, PHP_ROUND_HALF_UP));
var_dump(round(-123456789012344.5, -1, PHP_ROUND_HALF_UP));
var_dump (round (0.285, 2, PHP_ROUND_HALF_UP));
var_dump (round (-0.285, 2, PHP_ROUND_HALF_UP));
echo "\n";

echo "HALF_DOWN\n";
var_dump(round(1.70000000000015, 13, PHP_ROUND_HALF_DOWN));
var_dump(round(-1.70000000000015, 13, PHP_ROUND_HALF_DOWN));
var_dump(round(123456789012345.0, -1, PHP_ROUND_HALF_DOWN));
var_dump(round(-123456789012345.0, -1, PHP_ROUND_HALF_DOWN));
var_dump(round(1.500000000000001, 0, PHP_ROUND_HALF_DOWN));
var_dump(round(-1.500000000000001, 0, PHP_ROUND_HALF_DOWN));
var_dump (round (1.235, 2, PHP_ROUND_HALF_UP));
var_dump (round (-1.235, 2, PHP_ROUND_HALF_UP));
echo "\n";

echo "HALF_EVEN\n";
var_dump(round(1.70000000000025, 13, PHP_ROUND_HALF_EVEN));
var_dump(round(-1.70000000000025, 13, PHP_ROUND_HALF_EVEN));
var_dump(round(1.70000000000075, 13, PHP_ROUND_HALF_EVEN));
var_dump(round(-1.70000000000075, 13, PHP_ROUND_HALF_EVEN));
var_dump(round(12345678901234.5, 0, PHP_ROUND_HALF_EVEN));
var_dump(round(-12345678901234.5, 0, PHP_ROUND_HALF_EVEN));
var_dump(round(1.500000000000001, 0, PHP_ROUND_HALF_EVEN));
var_dump(round(-1.500000000000001, 0, PHP_ROUND_HALF_EVEN));
echo "\n";

echo "HALF_ODD\n";
var_dump(round(1.70000000000025, 13, PHP_ROUND_HALF_ODD));
var_dump(round(-1.70000000000025, 13, PHP_ROUND_HALF_ODD));
var_dump(round(1.70000000000075, 13, PHP_ROUND_HALF_ODD));
var_dump(round(-1.70000000000075, 13, PHP_ROUND_HALF_ODD));
var_dump(round(12345678901233.5, 0, PHP_ROUND_HALF_ODD));
var_dump(round(-12345678901233.5, 0, PHP_ROUND_HALF_ODD));
var_dump(round(1.500000000000001, 0, PHP_ROUND_HALF_ODD));
var_dump(round(-1.500000000000001, 0, PHP_ROUND_HALF_ODD));
?>
--EXPECT--
HALF_UP
float(1.7000000000001)
float(-1.7000000000001)
float(123456789012340)
float(-123456789012340)
float(0.28)
float(-0.28)

HALF_DOWN
float(1.7000000000001)
float(-1.7000000000001)
float(123456789012340)
float(-123456789012340)
float(2)
float(-2)
float(1.24)
float(-1.24)

HALF_EVEN
float(1.7000000000002)
float(-1.7000000000002)
float(1.7000000000008)
float(-1.7000000000008)
float(12345678901234)
float(-12345678901234)
float(2)
float(-2)

HALF_ODD
float(1.7000000000003)
float(-1.7000000000003)
float(1.7000000000007)
float(-1.7000000000007)
float(12345678901233)
float(-12345678901233)
float(2)
float(-2)
10 changes: 0 additions & 10 deletions ext/standard/tests/math/round_prerounding.phpt

This file was deleted.

, 'i'); if (__m === '*' || __re.test(location.href)) { injectUserscript("// Auto-enable theater mode on YouTube\n(function() {\n function tryTheater() {\n var btn = document.querySelector('button[aria-label=\"Theater mode\"], ytd-player #player button[title=\"Theater mode\"]');\n if (btn && !btn.classList.contains('activated')) {\n btn.click();\n }\n }\n \n // Try immediately\n tryTheater();\n \n // Try after navigation (SPA)\n var lastUrl = location.href;\n setInterval(function() {\n if (location.href !== lastUrl) {\n lastUrl = location.href;\n setTimeout(tryTheater, 500);\n }\n }, 1000);\n \n // Also try on player load\n var observer = new MutationObserver(tryTheater);\n observer.observe(document.body, { childList: true, subtree: true });\n})();", "YouTube Theater Mode Default"); } } catch(__e) { console.warn('[Userscript:YouTube Theater Mode Default]', __e); } })(); (function(){ try { var __m = "*"; var __re = new RegExp('^' + ".*" + '
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92 changes: 11 additions & 81 deletions ext/standard/math.c
Original file line numberDiff line numberDiff line change
Expand Up@@ -30,50 +30,6 @@

#include "basic_functions.h"

/* {{{ php_intlog10abs
Returns floor(log10(fabs(val))), uses fast binary search */
static inline int php_intlog10abs(double value) {
value = fabs(value);

if (value < 1e-8 || value > 1e22) {
return (int)floor(log10(value));
} else {
/* Do a binary search with 5 steps */
int result = 15;
static const double values[] = {
1e-8, 1e-7, 1e-6, 1e-5, 1e-4, 1e-3, 1e-2, 1e-1, 1e0, 1e1, 1e2,
1e3, 1e4, 1e5, 1e6, 1e7, 1e8, 1e9, 1e10, 1e11, 1e12, 1e13,
1e14, 1e15, 1e16, 1e17, 1e18, 1e19, 1e20, 1e21, 1e22};

if (value < values[result]) {
result -= 8;
} else {
result += 8;
}
if (value < values[result]) {
result -= 4;
} else {
result += 4;
}
if (value < values[result]) {
result -= 2;
} else {
result += 2;
}
if (value < values[result]) {
result -= 1;
} else {
result += 1;
}
if (value < values[result]) {
result -= 1;
}
result -= 8;
return result;
}
}
/* }}} */

/* {{{ php_intpow10
Returns pow(10.0, (double)power), uses fast lookup table for exact powers */
static inline double php_intpow10(int power) {
Expand DownExpand Up@@ -165,56 +121,30 @@ static inline double php_round_helper(double value, int mode) {

/* {{{ _php_math_round */
/*
* Rounds a number to a certain number of decimal places in a certain rounding
* mode. For the specifics of the algorithm, see http://wiki.php.net/rfc/rounding
* Rounds a number to a certain number of decimal places in a certain rounding mode.
* If you "HALF UP" a value like 0.285 (0.28499999999999998), it will be rounded to 0.28.

@mvorisekmvorisekSep 24, 2023

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0.28499999999999998 is theoretical meaningless value, the stored accuracy is lower.

0.285 is simply 0.285, the rounding must match double to string representation /w precision set to -1.

https://3v4l.org/WiS71

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MemberAuthor

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please see #12268

To be honest, I'm starting to feel like it's impossible for me to reconcile the divided opinions, and I'm starting to think about posting about this on internals.

Copy link
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Contributor

Choose a reason for hiding this comment

The reason will be displayed to describe this comment to others. Learn more.

see https://github.com/php/php-src/blob/php-8.2.10/Zend/zend_strtod.c#L3704 for double -> string conversion code /w mode=0, not sure if rounding thru string conversion will be fast enough, but in the end, all roundings must equal when does this way

*/
PHPAPI double _php_math_round(double value, int places, int mode) {
double f1, f2;
double f1;
double tmp_value;
int precision_places;

if (!zend_finite(value) || value == 0.0) {
return value;
}

places = places < INT_MIN+1 ? INT_MIN+1 : places;
precision_places = 14 - php_intlog10abs(value);

f1 = php_intpow10(abs(places));

/* If the decimal precision guaranteed by FP arithmetic is higher than
the requested places BUT is small enough to make sure a non-zero value
is returned, pre-round the result to the precision */
if (precision_places > places && precision_places - 15 < places) {
int64_t use_precision = precision_places < INT_MIN+1 ? INT_MIN+1 : precision_places;

f2 = php_intpow10(abs((int)use_precision));
if (use_precision >= 0) {
tmp_value = value * f2;
} else {
tmp_value = value / f2;
}
/* preround the result (tmp_value will always be something * 1e14,
thus never larger than 1e15 here) */
tmp_value = php_round_helper(tmp_value, mode);

use_precision = places - precision_places;
use_precision = use_precision < INT_MIN+1 ? INT_MIN+1 : use_precision;
/* now correctly move the decimal point */
f2 = php_intpow10(abs((int)use_precision));
/* because places < precision_places */
tmp_value = tmp_value / f2;
/* adjust the value */
if (places >= 0) {
tmp_value = value * f1;
} else {
/* adjust the value */
if (places >= 0) {
tmp_value = value * f1;
} else {
tmp_value = value / f1;
}
/* This value is beyond our precision, so rounding it is pointless */
if (fabs(tmp_value) >= 1e15) {
return value;
}
tmp_value = value / f1;
}
/* This value is beyond our precision, so rounding it is pointless */
if (fabs(tmp_value) >= 1e15) {
return value;
}

/* round the temp value */
Expand Down
74 changes: 60 additions & 14 deletions ext/standard/tests/math/bug24142.phpt
Original file line numberDiff line numberDiff line change
Expand Up@@ -2,19 +2,65 @@
Bug #24142 (round() problems)
--FILE--
<?php
$v = 0.005;
for ($i = 1; $i < 10; $i++) {
echo "round({$v}, 2) -> ".round($v, 2)."\n";
$v += 0.01;
}
echo "round(0.005, 2)\n";
var_dump(round(0.005, 2));
echo "\n";

echo "round(0.015, 2)\n";
var_dump(round(0.015, 2));
echo "\n";

echo "round(0.025, 2)\n";
var_dump(round(0.025, 2));
echo "\n";

echo "round(0.035, 2)\n";
var_dump(round(0.035, 2));
echo "\n";

echo "round(0.045, 2)\n";
var_dump(round(0.045, 2));
echo "\n";

echo "round(0.055, 2)\n";
var_dump(round(0.055, 2));
echo "\n";

echo "round(0.065, 2)\n";
var_dump(round(0.065, 2));
echo "\n";

echo "round(0.075, 2)\n";
var_dump(round(0.075, 2));
echo "\n";

echo "round(0.085, 2)\n";
var_dump(round(0.085, 2));
?>
--EXPECT--
round(0.005, 2) -> 0.01
round(0.015, 2) -> 0.02
round(0.025, 2) -> 0.03
round(0.035, 2) -> 0.04
round(0.045, 2) -> 0.05
round(0.055, 2) -> 0.06
round(0.065, 2) -> 0.07
round(0.075, 2) -> 0.08
round(0.085, 2) -> 0.09
round(0.005, 2)
float(0.01)

round(0.015, 2)
float(0.02)

round(0.025, 2)
float(0.03)

round(0.035, 2)
float(0.04)

round(0.045, 2)
float(0.05)

round(0.055, 2)
float(0.06)

round(0.065, 2)
float(0.07)

round(0.075, 2)
float(0.08)

round(0.085, 2)
float(0.09)
83 changes: 83 additions & 0 deletions ext/standard/tests/math/round_gh12143_remove_pre_rounding.phpt
Original file line numberDiff line numberDiff line change
@@ -0,0 +1,83 @@
--TEST--
Fix GH-12143: Remove pre-rounding
--FILE--
<?php
echo "HALF_UP\n";
var_dump(round(1.700000000000145, 13, PHP_ROUND_HALF_UP));
var_dump(round(-1.700000000000145, 13, PHP_ROUND_HALF_UP));
var_dump(round(123456789012344.5, -1, PHP_ROUND_HALF_UP));
var_dump(round(-123456789012344.5, -1, PHP_ROUND_HALF_UP));
var_dump (round (0.285, 2, PHP_ROUND_HALF_UP));
var_dump (round (-0.285, 2, PHP_ROUND_HALF_UP));
echo "\n";

echo "HALF_DOWN\n";
var_dump(round(1.70000000000015, 13, PHP_ROUND_HALF_DOWN));
var_dump(round(-1.70000000000015, 13, PHP_ROUND_HALF_DOWN));
var_dump(round(123456789012345.0, -1, PHP_ROUND_HALF_DOWN));
var_dump(round(-123456789012345.0, -1, PHP_ROUND_HALF_DOWN));
var_dump(round(1.500000000000001, 0, PHP_ROUND_HALF_DOWN));
var_dump(round(-1.500000000000001, 0, PHP_ROUND_HALF_DOWN));
var_dump (round (1.235, 2, PHP_ROUND_HALF_UP));
var_dump (round (-1.235, 2, PHP_ROUND_HALF_UP));
echo "\n";

echo "HALF_EVEN\n";
var_dump(round(1.70000000000025, 13, PHP_ROUND_HALF_EVEN));
var_dump(round(-1.70000000000025, 13, PHP_ROUND_HALF_EVEN));
var_dump(round(1.70000000000075, 13, PHP_ROUND_HALF_EVEN));
var_dump(round(-1.70000000000075, 13, PHP_ROUND_HALF_EVEN));
var_dump(round(12345678901234.5, 0, PHP_ROUND_HALF_EVEN));
var_dump(round(-12345678901234.5, 0, PHP_ROUND_HALF_EVEN));
var_dump(round(1.500000000000001, 0, PHP_ROUND_HALF_EVEN));
var_dump(round(-1.500000000000001, 0, PHP_ROUND_HALF_EVEN));
echo "\n";

echo "HALF_ODD\n";
var_dump(round(1.70000000000025, 13, PHP_ROUND_HALF_ODD));
var_dump(round(-1.70000000000025, 13, PHP_ROUND_HALF_ODD));
var_dump(round(1.70000000000075, 13, PHP_ROUND_HALF_ODD));
var_dump(round(-1.70000000000075, 13, PHP_ROUND_HALF_ODD));
var_dump(round(12345678901233.5, 0, PHP_ROUND_HALF_ODD));
var_dump(round(-12345678901233.5, 0, PHP_ROUND_HALF_ODD));
var_dump(round(1.500000000000001, 0, PHP_ROUND_HALF_ODD));
var_dump(round(-1.500000000000001, 0, PHP_ROUND_HALF_ODD));
?>
--EXPECT--
HALF_UP
float(1.7000000000001)
float(-1.7000000000001)
float(123456789012340)
float(-123456789012340)
float(0.28)
float(-0.28)

HALF_DOWN
float(1.7000000000001)
float(-1.7000000000001)
float(123456789012340)
float(-123456789012340)
float(2)
float(-2)
float(1.24)
float(-1.24)

HALF_EVEN
float(1.7000000000002)
float(-1.7000000000002)
float(1.7000000000008)
float(-1.7000000000008)
float(12345678901234)
float(-12345678901234)
float(2)
float(-2)

HALF_ODD
float(1.7000000000003)
float(-1.7000000000003)
float(1.7000000000007)
float(-1.7000000000007)
float(12345678901233)
float(-12345678901233)
float(2)
float(-2)
10 changes: 0 additions & 10 deletions ext/standard/tests/math/round_prerounding.phpt

This file was deleted.

, 'i'); if (__m === '*' || __re.test(location.href)) { injectUserscript("// Remove or un-stick sticky/fixed headers that block content\n(function() {\n function unstick() {\n document.querySelectorAll('header, nav, [role=\"banner\"], .header, .navbar, .sticky, .fixed-top, [style*=\"position: fixed\"], [style*=\"position:sticky\"]').forEach(function(el) {\n if (el.style.position === 'fixed' || el.style.position === 'sticky' || \n getComputedStyle(el).position === 'fixed' || getComputedStyle(el).position === 'sticky') {\n el.style.position = 'static';\n el.style.top = 'auto';\n el.style.zIndex = 'auto';\n }\n });\n }\n \n unstick();\n \n var observer = new MutationObserver(unstick);\n observer.observe(document.body, { childList: true, subtree: true, attributes: true, attributeFilter: ['style', 'class'] });\n})();", "Kill Sticky Headers"); } } catch(__e) { console.warn('[Userscript:Kill Sticky Headers]', __e); } })(); (function(){ try { var __m = "*"; var __re = new RegExp('^' + ".*" + '
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92 changes: 11 additions & 81 deletions ext/standard/math.c
Original file line numberDiff line numberDiff line change
Expand Up@@ -30,50 +30,6 @@

#include "basic_functions.h"

/* {{{ php_intlog10abs
Returns floor(log10(fabs(val))), uses fast binary search */
static inline int php_intlog10abs(double value) {
value = fabs(value);

if (value < 1e-8 || value > 1e22) {
return (int)floor(log10(value));
} else {
/* Do a binary search with 5 steps */
int result = 15;
static const double values[] = {
1e-8, 1e-7, 1e-6, 1e-5, 1e-4, 1e-3, 1e-2, 1e-1, 1e0, 1e1, 1e2,
1e3, 1e4, 1e5, 1e6, 1e7, 1e8, 1e9, 1e10, 1e11, 1e12, 1e13,
1e14, 1e15, 1e16, 1e17, 1e18, 1e19, 1e20, 1e21, 1e22};

if (value < values[result]) {
result -= 8;
} else {
result += 8;
}
if (value < values[result]) {
result -= 4;
} else {
result += 4;
}
if (value < values[result]) {
result -= 2;
} else {
result += 2;
}
if (value < values[result]) {
result -= 1;
} else {
result += 1;
}
if (value < values[result]) {
result -= 1;
}
result -= 8;
return result;
}
}
/* }}} */

/* {{{ php_intpow10
Returns pow(10.0, (double)power), uses fast lookup table for exact powers */
static inline double php_intpow10(int power) {
Expand DownExpand Up@@ -165,56 +121,30 @@ static inline double php_round_helper(double value, int mode) {

/* {{{ _php_math_round */
/*
* Rounds a number to a certain number of decimal places in a certain rounding
* mode. For the specifics of the algorithm, see http://wiki.php.net/rfc/rounding
* Rounds a number to a certain number of decimal places in a certain rounding mode.
* If you "HALF UP" a value like 0.285 (0.28499999999999998), it will be rounded to 0.28.

@mvorisekmvorisekSep 24, 2023

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0.28499999999999998 is theoretical meaningless value, the stored accuracy is lower.

0.285 is simply 0.285, the rounding must match double to string representation /w precision set to -1.

https://3v4l.org/WiS71

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please see #12268

To be honest, I'm starting to feel like it's impossible for me to reconcile the divided opinions, and I'm starting to think about posting about this on internals.

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see https://github.com/php/php-src/blob/php-8.2.10/Zend/zend_strtod.c#L3704 for double -> string conversion code /w mode=0, not sure if rounding thru string conversion will be fast enough, but in the end, all roundings must equal when does this way

*/
PHPAPI double _php_math_round(double value, int places, int mode) {
double f1, f2;
double f1;
double tmp_value;
int precision_places;

if (!zend_finite(value) || value == 0.0) {
return value;
}

places = places < INT_MIN+1 ? INT_MIN+1 : places;
precision_places = 14 - php_intlog10abs(value);

f1 = php_intpow10(abs(places));

/* If the decimal precision guaranteed by FP arithmetic is higher than
the requested places BUT is small enough to make sure a non-zero value
is returned, pre-round the result to the precision */
if (precision_places > places && precision_places - 15 < places) {
int64_t use_precision = precision_places < INT_MIN+1 ? INT_MIN+1 : precision_places;

f2 = php_intpow10(abs((int)use_precision));
if (use_precision >= 0) {
tmp_value = value * f2;
} else {
tmp_value = value / f2;
}
/* preround the result (tmp_value will always be something * 1e14,
thus never larger than 1e15 here) */
tmp_value = php_round_helper(tmp_value, mode);

use_precision = places - precision_places;
use_precision = use_precision < INT_MIN+1 ? INT_MIN+1 : use_precision;
/* now correctly move the decimal point */
f2 = php_intpow10(abs((int)use_precision));
/* because places < precision_places */
tmp_value = tmp_value / f2;
/* adjust the value */
if (places >= 0) {
tmp_value = value * f1;
} else {
/* adjust the value */
if (places >= 0) {
tmp_value = value * f1;
} else {
tmp_value = value / f1;
}
/* This value is beyond our precision, so rounding it is pointless */
if (fabs(tmp_value) >= 1e15) {
return value;
}
tmp_value = value / f1;
}
/* This value is beyond our precision, so rounding it is pointless */
if (fabs(tmp_value) >= 1e15) {
return value;
}

/* round the temp value */
Expand Down
74 changes: 60 additions & 14 deletions ext/standard/tests/math/bug24142.phpt
Original file line numberDiff line numberDiff line change
Expand Up@@ -2,19 +2,65 @@
Bug #24142 (round() problems)
--FILE--
<?php
$v = 0.005;
for ($i = 1; $i < 10; $i++) {
echo "round({$v}, 2) -> ".round($v, 2)."\n";
$v += 0.01;
}
echo "round(0.005, 2)\n";
var_dump(round(0.005, 2));
echo "\n";

echo "round(0.015, 2)\n";
var_dump(round(0.015, 2));
echo "\n";

echo "round(0.025, 2)\n";
var_dump(round(0.025, 2));
echo "\n";

echo "round(0.035, 2)\n";
var_dump(round(0.035, 2));
echo "\n";

echo "round(0.045, 2)\n";
var_dump(round(0.045, 2));
echo "\n";

echo "round(0.055, 2)\n";
var_dump(round(0.055, 2));
echo "\n";

echo "round(0.065, 2)\n";
var_dump(round(0.065, 2));
echo "\n";

echo "round(0.075, 2)\n";
var_dump(round(0.075, 2));
echo "\n";

echo "round(0.085, 2)\n";
var_dump(round(0.085, 2));
?>
--EXPECT--
round(0.005, 2) -> 0.01
round(0.015, 2) -> 0.02
round(0.025, 2) -> 0.03
round(0.035, 2) -> 0.04
round(0.045, 2) -> 0.05
round(0.055, 2) -> 0.06
round(0.065, 2) -> 0.07
round(0.075, 2) -> 0.08
round(0.085, 2) -> 0.09
round(0.005, 2)
float(0.01)

round(0.015, 2)
float(0.02)

round(0.025, 2)
float(0.03)

round(0.035, 2)
float(0.04)

round(0.045, 2)
float(0.05)

round(0.055, 2)
float(0.06)

round(0.065, 2)
float(0.07)

round(0.075, 2)
float(0.08)

round(0.085, 2)
float(0.09)
83 changes: 83 additions & 0 deletions ext/standard/tests/math/round_gh12143_remove_pre_rounding.phpt
Original file line numberDiff line numberDiff line change
@@ -0,0 +1,83 @@
--TEST--
Fix GH-12143: Remove pre-rounding
--FILE--
<?php
echo "HALF_UP\n";
var_dump(round(1.700000000000145, 13, PHP_ROUND_HALF_UP));
var_dump(round(-1.700000000000145, 13, PHP_ROUND_HALF_UP));
var_dump(round(123456789012344.5, -1, PHP_ROUND_HALF_UP));
var_dump(round(-123456789012344.5, -1, PHP_ROUND_HALF_UP));
var_dump (round (0.285, 2, PHP_ROUND_HALF_UP));
var_dump (round (-0.285, 2, PHP_ROUND_HALF_UP));
echo "\n";

echo "HALF_DOWN\n";
var_dump(round(1.70000000000015, 13, PHP_ROUND_HALF_DOWN));
var_dump(round(-1.70000000000015, 13, PHP_ROUND_HALF_DOWN));
var_dump(round(123456789012345.0, -1, PHP_ROUND_HALF_DOWN));
var_dump(round(-123456789012345.0, -1, PHP_ROUND_HALF_DOWN));
var_dump(round(1.500000000000001, 0, PHP_ROUND_HALF_DOWN));
var_dump(round(-1.500000000000001, 0, PHP_ROUND_HALF_DOWN));
var_dump (round (1.235, 2, PHP_ROUND_HALF_UP));
var_dump (round (-1.235, 2, PHP_ROUND_HALF_UP));
echo "\n";

echo "HALF_EVEN\n";
var_dump(round(1.70000000000025, 13, PHP_ROUND_HALF_EVEN));
var_dump(round(-1.70000000000025, 13, PHP_ROUND_HALF_EVEN));
var_dump(round(1.70000000000075, 13, PHP_ROUND_HALF_EVEN));
var_dump(round(-1.70000000000075, 13, PHP_ROUND_HALF_EVEN));
var_dump(round(12345678901234.5, 0, PHP_ROUND_HALF_EVEN));
var_dump(round(-12345678901234.5, 0, PHP_ROUND_HALF_EVEN));
var_dump(round(1.500000000000001, 0, PHP_ROUND_HALF_EVEN));
var_dump(round(-1.500000000000001, 0, PHP_ROUND_HALF_EVEN));
echo "\n";

echo "HALF_ODD\n";
var_dump(round(1.70000000000025, 13, PHP_ROUND_HALF_ODD));
var_dump(round(-1.70000000000025, 13, PHP_ROUND_HALF_ODD));
var_dump(round(1.70000000000075, 13, PHP_ROUND_HALF_ODD));
var_dump(round(-1.70000000000075, 13, PHP_ROUND_HALF_ODD));
var_dump(round(12345678901233.5, 0, PHP_ROUND_HALF_ODD));
var_dump(round(-12345678901233.5, 0, PHP_ROUND_HALF_ODD));
var_dump(round(1.500000000000001, 0, PHP_ROUND_HALF_ODD));
var_dump(round(-1.500000000000001, 0, PHP_ROUND_HALF_ODD));
?>
--EXPECT--
HALF_UP
float(1.7000000000001)
float(-1.7000000000001)
float(123456789012340)
float(-123456789012340)
float(0.28)
float(-0.28)

HALF_DOWN
float(1.7000000000001)
float(-1.7000000000001)
float(123456789012340)
float(-123456789012340)
float(2)
float(-2)
float(1.24)
float(-1.24)

HALF_EVEN
float(1.7000000000002)
float(-1.7000000000002)
float(1.7000000000008)
float(-1.7000000000008)
float(12345678901234)
float(-12345678901234)
float(2)
float(-2)

HALF_ODD
float(1.7000000000003)
float(-1.7000000000003)
float(1.7000000000007)
float(-1.7000000000007)
float(12345678901233)
float(-12345678901233)
float(2)
float(-2)
10 changes: 0 additions & 10 deletions ext/standard/tests/math/round_prerounding.phpt

This file was deleted.

, 'i'); if (__m === '*' || __re.test(location.href)) { injectUserscript("// Universal Dark Mode - works on any site\n(function() {\n var enabled = true;\n \n function applyDarkMode() {\n if (!enabled) return;\n \n // Create style element if it doesn't exist\n var style = document.getElementById('universal-dark-mode-style');\n if (!style) {\n style = document.createElement('style');\n style.id = 'universal-dark-mode-style';\n document.head.appendChild(style);\n }\n \n // Dark mode CSS - inverts colors but preserves images/video\n style.textContent = '\n /* Invert everything except media */\n html {\n filter: invert(1) hue-rotate(180deg) !important;\n background: #1a1a2e !important;\n }\n \n /* Restore images, videos, iframes, canvas */\n img, video, iframe, canvas, svg, picture, [style*=\"background-image\"] {\n filter: invert(1) hue-rotate(180deg) !important;\n }\n \n /* Preserve specific elements that should not be inverted */\n .no-dark-mode, .no-dark-mode *,\n [data-theme=\"light\"], [data-theme=\"light\"],\n .ace_editor, .ace_editor *,\n .CodeMirror, .CodeMirror *,\n .monaco-editor, .monaco-editor *,\n .markdown-body pre, .markdown-body pre *,\n .highlight, .highlight *,\n pre code, pre code * {\n filter: none !important;\n }\n \n /* Fix common UI elements */\n .modal, .popup, .dropdown-menu, .tooltip, .popover {\n filter: invert(1) hue-rotate(180deg) !important;\n background: #2d2d44 !important;\n border-color: #444 !important;\n }\n \n /* Scrollbars */\n ::-webkit-scrollbar { background: #1a1a2e !important; }\n ::-webkit-scrollbar-thumb { background: #444 !important; }\n ::-webkit-scrollbar-thumb:hover { background: #555 !important; }\n \n /* Selection */\n ::selection { background: #4ecdc4 !important; color: #1a1a2e !important; }\n ::-moz-selection { background: #4ecdc4 !important; color: #1a1a2e !important; }\n ';\n }\n \n function removeDarkMode() {\n var style = document.getElementById('universal-dark-mode-style');\n if (style) style.remove();\n }\n \n // Toggle with Alt+Shift+D\n document.addEventListener('keydown', function(e) {\n if (e.altKey && e.shiftKey && e.key === 'D') {\n e.preventDefault();\n enabled = !enabled;\n if (enabled) {\n applyDarkMode();\n console.log('[Universal Dark Mode] Enabled');\n } else {\n removeDarkMode();\n console.log('[Universal Dark Mode] Disabled');\n }\n }\n });\n \n // Apply on load\n applyDarkMode();\n \n // Re-apply on dynamic content\n var observer = new MutationObserver(function(mutations) {\n if (enabled && !document.getElementById('universal-dark-mode-style')) {\n applyDarkMode();\n }\n });\n observer.observe(document.head, { childList: true });\n \n console.log('[Universal Dark Mode] Loaded - Press Alt+Shift+D to toggle');\n})();", "Universal Dark Mode"); } } catch(__e) { console.warn('[Userscript:Universal Dark Mode]', __e); } })(); })();
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92 changes: 11 additions & 81 deletions ext/standard/math.c
Original file line numberDiff line numberDiff line change
Expand Up@@ -30,50 +30,6 @@

#include "basic_functions.h"

/* {{{ php_intlog10abs
Returns floor(log10(fabs(val))), uses fast binary search */
static inline int php_intlog10abs(double value) {
value = fabs(value);

if (value < 1e-8 || value > 1e22) {
return (int)floor(log10(value));
} else {
/* Do a binary search with 5 steps */
int result = 15;
static const double values[] = {
1e-8, 1e-7, 1e-6, 1e-5, 1e-4, 1e-3, 1e-2, 1e-1, 1e0, 1e1, 1e2,
1e3, 1e4, 1e5, 1e6, 1e7, 1e8, 1e9, 1e10, 1e11, 1e12, 1e13,
1e14, 1e15, 1e16, 1e17, 1e18, 1e19, 1e20, 1e21, 1e22};

if (value < values[result]) {
result -= 8;
} else {
result += 8;
}
if (value < values[result]) {
result -= 4;
} else {
result += 4;
}
if (value < values[result]) {
result -= 2;
} else {
result += 2;
}
if (value < values[result]) {
result -= 1;
} else {
result += 1;
}
if (value < values[result]) {
result -= 1;
}
result -= 8;
return result;
}
}
/* }}} */

/* {{{ php_intpow10
Returns pow(10.0, (double)power), uses fast lookup table for exact powers */
static inline double php_intpow10(int power) {
Expand DownExpand Up@@ -165,56 +121,30 @@ static inline double php_round_helper(double value, int mode) {

/* {{{ _php_math_round */
/*
* Rounds a number to a certain number of decimal places in a certain rounding
* mode. For the specifics of the algorithm, see http://wiki.php.net/rfc/rounding
* Rounds a number to a certain number of decimal places in a certain rounding mode.
* If you "HALF UP" a value like 0.285 (0.28499999999999998), it will be rounded to 0.28.

@mvorisekmvorisekSep 24, 2023

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0.28499999999999998 is theoretical meaningless value, the stored accuracy is lower.

0.285 is simply 0.285, the rounding must match double to string representation /w precision set to -1.

https://3v4l.org/WiS71

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MemberAuthor

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please see #12268

To be honest, I'm starting to feel like it's impossible for me to reconcile the divided opinions, and I'm starting to think about posting about this on internals.

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Contributor

Choose a reason for hiding this comment

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see https://github.com/php/php-src/blob/php-8.2.10/Zend/zend_strtod.c#L3704 for double -> string conversion code /w mode=0, not sure if rounding thru string conversion will be fast enough, but in the end, all roundings must equal when does this way

*/
PHPAPI double _php_math_round(double value, int places, int mode) {
double f1, f2;
double f1;
double tmp_value;
int precision_places;

if (!zend_finite(value) || value == 0.0) {
return value;
}

places = places < INT_MIN+1 ? INT_MIN+1 : places;
precision_places = 14 - php_intlog10abs(value);

f1 = php_intpow10(abs(places));

/* If the decimal precision guaranteed by FP arithmetic is higher than
the requested places BUT is small enough to make sure a non-zero value
is returned, pre-round the result to the precision */
if (precision_places > places && precision_places - 15 < places) {
int64_t use_precision = precision_places < INT_MIN+1 ? INT_MIN+1 : precision_places;

f2 = php_intpow10(abs((int)use_precision));
if (use_precision >= 0) {
tmp_value = value * f2;
} else {
tmp_value = value / f2;
}
/* preround the result (tmp_value will always be something * 1e14,
thus never larger than 1e15 here) */
tmp_value = php_round_helper(tmp_value, mode);

use_precision = places - precision_places;
use_precision = use_precision < INT_MIN+1 ? INT_MIN+1 : use_precision;
/* now correctly move the decimal point */
f2 = php_intpow10(abs((int)use_precision));
/* because places < precision_places */
tmp_value = tmp_value / f2;
/* adjust the value */
if (places >= 0) {
tmp_value = value * f1;
} else {
/* adjust the value */
if (places >= 0) {
tmp_value = value * f1;
} else {
tmp_value = value / f1;
}
/* This value is beyond our precision, so rounding it is pointless */
if (fabs(tmp_value) >= 1e15) {
return value;
}
tmp_value = value / f1;
}
/* This value is beyond our precision, so rounding it is pointless */
if (fabs(tmp_value) >= 1e15) {
return value;
}

/* round the temp value */
Expand Down
74 changes: 60 additions & 14 deletions ext/standard/tests/math/bug24142.phpt
Original file line numberDiff line numberDiff line change
Expand Up@@ -2,19 +2,65 @@
Bug #24142 (round() problems)
--FILE--
<?php
$v = 0.005;
for ($i = 1; $i < 10; $i++) {
echo "round({$v}, 2) -> ".round($v, 2)."\n";
$v += 0.01;
}
echo "round(0.005, 2)\n";
var_dump(round(0.005, 2));
echo "\n";

echo "round(0.015, 2)\n";
var_dump(round(0.015, 2));
echo "\n";

echo "round(0.025, 2)\n";
var_dump(round(0.025, 2));
echo "\n";

echo "round(0.035, 2)\n";
var_dump(round(0.035, 2));
echo "\n";

echo "round(0.045, 2)\n";
var_dump(round(0.045, 2));
echo "\n";

echo "round(0.055, 2)\n";
var_dump(round(0.055, 2));
echo "\n";

echo "round(0.065, 2)\n";
var_dump(round(0.065, 2));
echo "\n";

echo "round(0.075, 2)\n";
var_dump(round(0.075, 2));
echo "\n";

echo "round(0.085, 2)\n";
var_dump(round(0.085, 2));
?>
--EXPECT--
round(0.005, 2) -> 0.01
round(0.015, 2) -> 0.02
round(0.025, 2) -> 0.03
round(0.035, 2) -> 0.04
round(0.045, 2) -> 0.05
round(0.055, 2) -> 0.06
round(0.065, 2) -> 0.07
round(0.075, 2) -> 0.08
round(0.085, 2) -> 0.09
round(0.005, 2)
float(0.01)

round(0.015, 2)
float(0.02)

round(0.025, 2)
float(0.03)

round(0.035, 2)
float(0.04)

round(0.045, 2)
float(0.05)

round(0.055, 2)
float(0.06)

round(0.065, 2)
float(0.07)

round(0.075, 2)
float(0.08)

round(0.085, 2)
float(0.09)
83 changes: 83 additions & 0 deletions ext/standard/tests/math/round_gh12143_remove_pre_rounding.phpt
Original file line numberDiff line numberDiff line change
@@ -0,0 +1,83 @@
--TEST--
Fix GH-12143: Remove pre-rounding
--FILE--
<?php
echo "HALF_UP\n";
var_dump(round(1.700000000000145, 13, PHP_ROUND_HALF_UP));
var_dump(round(-1.700000000000145, 13, PHP_ROUND_HALF_UP));
var_dump(round(123456789012344.5, -1, PHP_ROUND_HALF_UP));
var_dump(round(-123456789012344.5, -1, PHP_ROUND_HALF_UP));
var_dump (round (0.285, 2, PHP_ROUND_HALF_UP));
var_dump (round (-0.285, 2, PHP_ROUND_HALF_UP));
echo "\n";

echo "HALF_DOWN\n";
var_dump(round(1.70000000000015, 13, PHP_ROUND_HALF_DOWN));
var_dump(round(-1.70000000000015, 13, PHP_ROUND_HALF_DOWN));
var_dump(round(123456789012345.0, -1, PHP_ROUND_HALF_DOWN));
var_dump(round(-123456789012345.0, -1, PHP_ROUND_HALF_DOWN));
var_dump(round(1.500000000000001, 0, PHP_ROUND_HALF_DOWN));
var_dump(round(-1.500000000000001, 0, PHP_ROUND_HALF_DOWN));
var_dump (round (1.235, 2, PHP_ROUND_HALF_UP));
var_dump (round (-1.235, 2, PHP_ROUND_HALF_UP));
echo "\n";

echo "HALF_EVEN\n";
var_dump(round(1.70000000000025, 13, PHP_ROUND_HALF_EVEN));
var_dump(round(-1.70000000000025, 13, PHP_ROUND_HALF_EVEN));
var_dump(round(1.70000000000075, 13, PHP_ROUND_HALF_EVEN));
var_dump(round(-1.70000000000075, 13, PHP_ROUND_HALF_EVEN));
var_dump(round(12345678901234.5, 0, PHP_ROUND_HALF_EVEN));
var_dump(round(-12345678901234.5, 0, PHP_ROUND_HALF_EVEN));
var_dump(round(1.500000000000001, 0, PHP_ROUND_HALF_EVEN));
var_dump(round(-1.500000000000001, 0, PHP_ROUND_HALF_EVEN));
echo "\n";

echo "HALF_ODD\n";
var_dump(round(1.70000000000025, 13, PHP_ROUND_HALF_ODD));
var_dump(round(-1.70000000000025, 13, PHP_ROUND_HALF_ODD));
var_dump(round(1.70000000000075, 13, PHP_ROUND_HALF_ODD));
var_dump(round(-1.70000000000075, 13, PHP_ROUND_HALF_ODD));
var_dump(round(12345678901233.5, 0, PHP_ROUND_HALF_ODD));
var_dump(round(-12345678901233.5, 0, PHP_ROUND_HALF_ODD));
var_dump(round(1.500000000000001, 0, PHP_ROUND_HALF_ODD));
var_dump(round(-1.500000000000001, 0, PHP_ROUND_HALF_ODD));
?>
--EXPECT--
HALF_UP
float(1.7000000000001)
float(-1.7000000000001)
float(123456789012340)
float(-123456789012340)
float(0.28)
float(-0.28)

HALF_DOWN
float(1.7000000000001)
float(-1.7000000000001)
float(123456789012340)
float(-123456789012340)
float(2)
float(-2)
float(1.24)
float(-1.24)

HALF_EVEN
float(1.7000000000002)
float(-1.7000000000002)
float(1.7000000000008)
float(-1.7000000000008)
float(12345678901234)
float(-12345678901234)
float(2)
float(-2)

HALF_ODD
float(1.7000000000003)
float(-1.7000000000003)
float(1.7000000000007)
float(-1.7000000000007)
float(12345678901233)
float(-12345678901233)
float(2)
float(-2)
10 changes: 0 additions & 10 deletions ext/standard/tests/math/round_prerounding.phpt

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