init

2025-10-09 17:41:57 +00:00
commit 7a3b2960f8
146 changed files with 34948 additions and 0 deletions
@@ -0,0 +1,120 @@
+<?php
+
+namespace Elliptic\Curve\BaseCurve;
+
+use Elliptic\Utils;
+
+abstract class Point
+{
+    public $curve;
+    public $type;
+    public $precomputed;
+
+    function __construct($curve, $type)
+    {
+        $this->curve = $curve;
+        $this->type = $type;
+        $this->precomputed = null;
+    }
+
+    abstract public function eq($other);
+
+    public function validate() {
+        return $this->curve->validate($this);
+    }
+
+    public function encodeCompressed($enc) {
+        return $this->encode($enc, true);
+    }
+
+    public function encode($enc, $compact = false) {
+        return Utils::encode($this->_encode($compact), $enc);
+    }
+
+    protected function _encode($compact)
+    {
+        $len = $this->curve->p->byteLength();
+        $x = $this->getX()->toArray("be", $len);
+
+        if( $compact )
+        {
+            array_unshift($x, ($this->getY()->isEven() ? 0x02 : 0x03));
+            return $x;
+        }
+
+        return array_merge(array(0x04), $x, $this->getY()->toArray("be", $len));
+    }
+
+    public function precompute($power = null)
+    {
+        if( isset($this->precomputed) )
+            return $this;
+
+        $this->precomputed = array(
+            "naf" => $this->_getNAFPoints(8),
+            "doubles" => $this->_getDoubles(4, $power),
+            "beta" => $this->_getBeta()
+        );
+
+        return $this;
+    }
+
+    protected function _hasDoubles($k)
+    {
+        if( !isset($this->precomputed) || !isset($this->precomputed["doubles"]) )
+            return false;
+
+        return count($this->precomputed["doubles"]["points"]) >= ceil(($k->bitLength() + 1) / $this->precomputed["doubles"]["step"]);
+    }
+
+    public function _getDoubles($step = null, $power = null)
+    {
+        if( isset($this->precomputed) && isset($this->precomputed["doubles"]) )
+            return $this->precomputed["doubles"];
+
+        $doubles = array( $this );
+        $acc = $this;
+        for($i = 0; $i < $power; $i += $step)
+        {
+            for($j = 0; $j < $step; $j++)
+                $acc = $acc->dbl();
+            array_push($doubles, $acc);
+        }
+
+        return array(
+            "step" => $step,
+            "points" => $doubles
+        );
+    }
+
+    public function _getNAFPoints($wnd)
+    {
+        if( isset($this->precomputed) && isset($this->precomputed["naf"]) )
+            return $this->precomputed["naf"];
+
+        $res = array( $this );
+        $max = (1  << $wnd) - 1;
+        $dbl = $max === 1 ? null : $this->dbl();
+        for($i = 1; $i < $max; $i++)
+            array_push($res, $res[$i - 1]->add($dbl));
+
+        return array(
+            "wnd" => $wnd,
+            "points" => $res
+        );
+    }
+
+    public function _getBeta() {
+        return null;
+    }
+
+    public function dblp($k)
+    {
+        $r = $this;
+        for($i = 0; $i < $k; $i++)
+            $r = $r->dbl();
+        return $r;
+    }
+}
+
+?>