Does the require function need more gas when called with a message?

Question

If I add a message to require as a second parameter, will it increase gas consumption?

Answer 1

I did small test in Remix

Here is small contract

contract Sharer {
    function sendHalf(address addr) public payable {
        require(msg.value % 2 == 0);
    }
}

Gas estimation without message:

{
    "Creation": {
        "codeDepositCost": "32000",
        "executionCost": "81",
        "totalCost": "32081"
    },
    "External": {
        "sendHalf(address)": "147"
    }
}

Gas estimation with message:

{
    "Creation": {
        "codeDepositCost": "51600",
        "executionCost": "105",
        "totalCost": "51705"
    },
    "External": {
        "sendHalf(address)": "240"
    }
}

Answer 2

Using @Aquila's contract to perform more tests.

Contract

V1

pragma solidity ^0.4.25;

contract Sharer {
    function sendHalf() public payable {
        require(msg.value % 2 == 0);
    }
}

V2

pragma solidity ^0.4.25;

contract Sharer {
    function sendHalf() public payable {
        require(msg.value % 2 == 0, "zonk bonk");
    }
}

Deployment

V1

{
    "Creation": {
        "codeDepositCost": "26800",
        "executionCost": "81",
        "totalCost": "26881"
    },
    "External": {
        "sendHalf()": "133"
    }
}

V2

{
    "Creation": {
        "codeDepositCost": "46400",
        "executionCost": "99",
        "totalCost": "46499"
    },
    "External": {
        "sendHalf()": "228"
    }
}

V2 needs a whopping 19618 more gas at deployment:

Transaction

Importantly, there's no difference in gas costs when transfering an even number of wei to the contract. However, when the number is odd and require reverts the transaction...

V1 consumed 21401 gas while V2 21500, the difference being 99. It's not a huge figure, but neither a trivial one. I guess convenience has a cost!