javascript之试图通过 Steam 身份验证 : stumped with RSA ecnryption (js to python)

我正在尝试通过 steam auth here。我难过的地方是使用公钥的 RSA 密码加密。可以从 here 接收要编码的参数。我用来加密密码的代码是:

import base64 
from Crypto.PublicKey import RSA 
mod = long(publickey_mod, 16) 
exp = long(publickey_exp, 16) 
rsa = RSA.construct((mod, exp)) 
encrypted_password = rsa.encrypt(password, '')[0] 
encrypted_password = base64.b64encode(encrypted_password) 

这是 RSA.js:

var RSAPublicKey = function($modulus_hex, $encryptionExponent_hex) { 
    this.modulus = new BigInteger( $modulus_hex, 16); 
    this.encryptionExponent = new BigInteger( $encryptionExponent_hex, 16); 
} 
 
var Base64 = { 
    base64: "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/=", 
    encode: function($input) { 
        if (!$input) { 
            return false; 
        } 
        var $output = ""; 
        var $chr1, $chr2, $chr3; 
        var $enc1, $enc2, $enc3, $enc4; 
        var $i = 0; 
        do { 
            $chr1 = $input.charCodeAt($i++); 
            $chr2 = $input.charCodeAt($i++); 
            $chr3 = $input.charCodeAt($i++); 
            $enc1 = $chr1 >> 2; 
            $enc2 = (($chr1 & 3) << 4) | ($chr2 >> 4); 
            $enc3 = (($chr2 & 15) << 2) | ($chr3 >> 6); 
            $enc4 = $chr3 & 63; 
            if (isNaN($chr2)) $enc3 = $enc4 = 64; 
            else if (isNaN($chr3)) $enc4 = 64; 
            $output += this.base64.charAt($enc1) + this.base64.charAt($enc2) + this.base64.charAt($enc3) + this.base64.charAt($enc4); 
        } while ($i < $input.length); 
        return $output; 
    }, 
    decode: function($input) { 
        if(!$input) return false; 
        $input = $input.replace(/[^A-Za-z0-9\+\/\=]/g, ""); 
        var $output = ""; 
        var $enc1, $enc2, $enc3, $enc4; 
        var $i = 0; 
        do { 
            $enc1 = this.base64.indexOf($input.charAt($i++)); 
            $enc2 = this.base64.indexOf($input.charAt($i++)); 
            $enc3 = this.base64.indexOf($input.charAt($i++)); 
            $enc4 = this.base64.indexOf($input.charAt($i++)); 
            $output += String.fromCharCode(($enc1 << 2) | ($enc2 >> 4)); 
            if ($enc3 != 64) $output += String.fromCharCode((($enc2 & 15) << 4) | ($enc3 >> 2)); 
            if ($enc4 != 64) $output += String.fromCharCode((($enc3 & 3) << 6) | $enc4); 
        } while ($i < $input.length); 
        return $output;  
    } 
}; 
 
var Hex = { 
    hex: "0123456789abcdef", 
    encode: function($input) { 
        if(!$input) return false; 
        var $output = ""; 
        var $k; 
        var $i = 0; 
        do { 
            $k = $input.charCodeAt($i++); 
            $output += this.hex.charAt(($k >> 4) &0xf) + this.hex.charAt($k & 0xf); 
        } while ($i < $input.length); 
        return $output; 
    }, 
    decode: function($input) { 
        if(!$input) return false; 
        $input = $input.replace(/[^0-9abcdef]/g, ""); 
        var $output = ""; 
        var $i = 0; 
        do { 
            $output += String.fromCharCode(((this.hex.indexOf($input.charAt($i++)) << 4) & 0xf0) | (this.hex.indexOf($input.charAt($i++)) & 0xf)); 
        } while ($i < $input.length); 
        return $output; 
    } 
}; 
 
var RSA = { 
 
    getPublicKey: function( $modulus_hex, $exponent_hex ) { 
        return new RSAPublicKey( $modulus_hex, $exponent_hex ); 
    }, 
 
    encrypt: function($data, $pubkey) { 
        if (!$pubkey) return false; 
        $data = this.pkcs1pad2($data,($pubkey.modulus.bitLength()+7)>>3); 
        if(!$data) return false; 
        $data = $data.modPowInt($pubkey.encryptionExponent, $pubkey.modulus); 
        if(!$data) return false; 
        $data = $data.toString(16); 
        return Base64.encode(Hex.decode($data)); 
    }, 
 
    pkcs1pad2: function($data, $keysize) { 
        if($keysize < $data.length + 11) 
            return null; 
        var $buffer = []; 
        var $i = $data.length - 1; 
        while($i >= 0 && $keysize > 0) 
            $buffer[--$keysize] = $data.charCodeAt($i--); 
        $buffer[--$keysize] = 0; 
        while($keysize > 2) 
            $buffer[--$keysize] = Math.floor(Math.random()*254) + 1; 
        $buffer[--$keysize] = 2; 
        $buffer[--$keysize] = 0; 
        return new BigInteger($buffer); 
    } 
} 

这是来自 Steam 网站的 JS 代码:

var pubKey = RSA.getPublicKey( results.publickey_mod, results.publickey_exp ); 
var encryptedPassword = RSA.encrypt( password, pubKey ); 

我想我必须使用 Crypto.PKCS1_v1_5 而不是 Crypto.PublicKey.RSA.encrypt，因为该函数恰好对应一个名称“pkcs1pad2”，但我不知道将 publickey_exp 放在哪里以及如何导入现有 key

请您参考如下方法:

如您所料，您应该使用 Crypto.Cipher.PKCS1_v1_5，如以下代码段所示:

import base64 
from Crypto.PublicKey import RSA 
from Crypto.Cipher import PKCS1_v1_5 
mod = long(publickey_mod, 16) 
exp = long(publickey_exp, 16) 
rsa_key = RSA.construct((mod, exp)) 
rsa = PKCS115_Cipher(rsa_key) 
encrypted_password = rsa.encrypt(password) 
encrypted_password = base64.b64encode(encrypted_password)