/** 银行卡号有效性问题Luhn算法
* 现行 16 位银联卡现行卡号开头 6 位是 622126~622925 之间的,7 到 15 位是银行自定义的,
* 可能是发卡分行,发卡网点,发卡序号,第 16 位是校验码。
* 16 位卡号校验位采用 Luhm 校验方法计算:
* 1,将未带校验位的 15 位卡号从右依次编号 1 到 15,位于奇数位号上的数字乘以 2
* 2,将奇位乘积的个十位全部相加,再加上所有偶数位上的数字
* 3,将加法和加上校验位能被 10 整除。
*/
+ (BOOL)isBankCardNumber:(NSString *)cardNum {
NSString * lastNum = [[cardNum substringFromIndex:(cardNum.length-1)] copy];//取出最后一位
NSString * forwardNum = [[cardNum substringToIndex:(cardNum.length -1)] copy];//前15或18位
NSMutableArray * forwardArr = [[NSMutableArray alloc] initWithCapacity:0];
for (int i=0; i<forwardNum.length; i++) {
NSString * subStr = [forwardNum substringWithRange:NSMakeRange(i, 1)];
[forwardArr addObject:subStr];
}
NSMutableArray * forwardDescArr = [[NSMutableArray alloc] initWithCapacity:0];
for (int i = (int)(forwardArr.count-1); i> -1; i--) {//前15位或者前18位倒序存进数组
[forwardDescArr addObject:forwardArr[i]];
}
NSMutableArray * arrOddNum = [[NSMutableArray alloc] initWithCapacity:0];//奇数位*2的积 < 9
NSMutableArray * arrOddNum2 = [[NSMutableArray alloc] initWithCapacity:0];//奇数位*2的积 > 9
NSMutableArray * arrEvenNum = [[NSMutableArray alloc] initWithCapacity:0];//偶数位数组
for (int i=0; i< forwardDescArr.count; i++) {
NSInteger num = [forwardDescArr[i] intValue];
if (i%2) {//偶数位
[arrEvenNum addObject:[NSNumber numberWithInteger:num]];
}else{//奇数位
if (num * 2 < 9) {
[arrOddNum addObject:[NSNumber numberWithInteger:num * 2]];
}else{
NSInteger decadeNum = (num * 2) / 10;
NSInteger unitNum = (num * 2) % 10;
[arrOddNum2 addObject:[NSNumber numberWithInteger:unitNum]];
[arrOddNum2 addObject:[NSNumber numberWithInteger:decadeNum]];
}
}
}
__block NSInteger sumOddNumTotal = 0;
[arrOddNum enumerateObjectsUsingBlock:^(NSNumber * obj, NSUInteger idx, BOOL *stop) {
sumOddNumTotal += [obj integerValue];
}];
__block NSInteger sumOddNum2Total = 0;
[arrOddNum2 enumerateObjectsUsingBlock:^(NSNumber * obj, NSUInteger idx, BOOL *stop) {
sumOddNum2Total += [obj integerValue];
}];
__block NSInteger sumEvenNumTotal =0 ;
[arrEvenNum enumerateObjectsUsingBlock:^(NSNumber * obj, NSUInteger idx, BOOL *stop) {
sumEvenNumTotal += [obj integerValue];
}];
NSInteger lastNumber = [lastNum integerValue];
NSInteger luhmTotal = lastNumber + sumEvenNumTotal + sumOddNum2Total + sumOddNumTotal;
return (luhmTotal%10 ==0)?YES:NO;
}
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