Currency Formats

The CSC Ledger has two kinds of money: CSC, and issued currencies. In the CSC Ledger, both types have high precision, although their formats are different.

String Formatting

CSC Ledger APIs generally use strings, rather than native JSON numbers, to represent numeric amounts of currency for both CSC and issued currencies. This protects against a loss of precision when using JSON parsers, which may automatically try to represent all JSON numbers in a floating-point format. Within the String value, the numbers are serialized in the same way as native JSON numbers:

  • Base-10.
  • Non-zero-prefaced.
  • May contain . as a decimal point. For example, ½ is represented as 0.5. (American style, not European)
  • May contain E or e to indicate being raised to a power of 10 (scientific notation). For example, 1.2E5 is equivalent to 1.2×105, or 120000.
  • No comma (,) characters are used.

CSC Precision

CSC has the same precision as a 64-bit unsigned integer where each unit is equivalent to 0.00000001 CSC. Its properties are:

  • Minimum value: 0
  • Maximum value: 100000000000 (1011) CSC
    • "10000000000000000000" (1019) drops of CSC
  • Precise to the nearest 0.00000001 (10-8) CSC
    • "1" drop of CSC

Issued Currency Precision

Issued currencies in the CSC Ledger are represented with a custom format with the following precision:

  • Minimum nonzero absolute value: 1000000000000000e-96
  • Maximum value: 9999999999999999e80
  • Minimum value: -9999999999999999e80
  • 15 decimal digits of precision

Issued Currency Math


Issued Currency Amount Format diagram

Internally, casinocoind represents numbers for issued currencies in a custom number format. This format can store a wide variety of assets, including those typically measured in very small or very large denominations. Unlike typical floating-point representations of non-whole numbers, this format uses integer math for all calculations, so it always maintains 15 decimal digits of precision. Unlike "arbitrary precision" number formats, the custom format can always be stored in a fixed size of 64 bits.

The internal format consists of three parts: a sign bit, significant digits, and an exponent. (It uses them in the same way as scientific notation.) The sign bit indicates whether the amount is positive or negative. The significant digits are represented using an integer in the range 1000000000000000 to 9999999999999999 (inclusive), except for the special case of the value 0, whose significant digits use the value 0. The exponent indicates the scale (what power of 10 the significant digits should be multiplied by) in the range -96 to +80 (inclusive). Before recording any amount, casinocoind "canonicalizes" the value so that the significant digits and exponent are within the expected range. For example, the canonical representation of 1 unit of currency is 1000000000000000e-15. The internal calculations generally use integer math so that numbers are always precise within 15 digits. Multiplication and division have adjustments to compensate for over-rounding in the least significant digits.

When transmitting non-CSC amounts across the network or recording them in ledgers, the amounts are joined into a 64-bit format. The most significant bit indicates whether the amount is CSC or issued currency. (The value 1 indicates a non-CSC amount.) The next bit is the sign bit, 1 for positive or 0 for negative. (Caution: This is the opposite of how sign bits work in most other numeric representations!) The next 8 bits are the exponent, and the significant digits occupy the remaining 54 bits.

Currency Codes

All non-CSC currencies in the CSC Ledger have a 160-bit currency code. The casinocoind APIs map 3-character ASCII strings (case-sensitive) to 160-bit currency codes using a standard mapping. The currency code CSC is disallowed for issued currencies. Currencies with the same code can casinocoin across connected trustlines. Currency codes have no other behavior built into the CSC Ledger.

Standard Currency Codes

The standard currency mapping allocates the bits as follows:

Standard Currency Code Format

  1. The first 8 bits must be 0x00.
  2. The next 96 bits are reserved, and should be all 0s.
  3. The next 24 bits represent 3 characters of ASCII. CasinoCoin recommends using ISO 4217 codes, or popular pseudo-ISO 4217 codes such as "BTC". However, any combination of the following characters is permitted: all uppercase and lowercase letters, digits, as well as the symbols ?, !, @, #, $, %, ^, &, *, <, >, (, ), {, }, [, ], and |. The currency code CSC (all-uppercase) is reserved for CSC and cannot be used by issued currencies.
  4. The next 8 bits indicate the currency version. If the same currency is reissued with a different value, you can increment this value to keep the currencies separate.
  5. The next 24 bits are reserved and should be all 0s.

Nonstandard Currency Codes

You can also issue currency of other types by using a 160-bit (40-character) hexadecimal string such as 015841551A748AD2C1F76FF6ECB0CCCD00000000 as the currency code. To prevent this from being treated as a different currency code type, the first 8 bits MUST NOT be 0x00.

Deprecated: Some previous versions of casinocoin-libjs supported an "interest-bearing" or "demurraging" currency code type. These currencies have the first 8 bits 0x01. Demurraging / interest-bearing currencies are no longer supported, but you may encounter them in ledger data. For more information, see Demurrage.