| 123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282283284285286287288289290291292293294295296297298299300301302303304305306307308309310311312313314315316317318319320321322323324325326327328329330331332333334335336337338339340341342343344345346347348349350351352353354355356357358359360361362363364365366367368369370371372373374375376377378379380381382383384385386387388389390391392393394395396397398399400401402403404405406407408409410411412413414415416417418419420421422423424425426427428429430431432433434435436437438439440441442443444445446447448449450451452453454455456457458459460461462463464465466467468469470471472473474475476477478479480481482483484485486487488489490491492493494495496497498499500501502503504505506507508509510511512513514515516517518519520521522523524525526 | 
							- /**
 
-  *  The **FixedNumber** class permits using values with decimal places,
 
-  *  using fixed-pont math.
 
-  *
 
-  *  Fixed-point math is still based on integers under-the-hood, but uses an
 
-  *  internal offset to store fractional components below, and each operation
 
-  *  corrects for this after each operation.
 
-  *
 
-  *  @_section: api/utils/fixed-point-math:Fixed-Point Maths  [about-fixed-point-math]
 
-  */
 
- import { getBytes } from "./data.js";
 
- import { assert, assertArgument, assertPrivate } from "./errors.js";
 
- import { getBigInt, getNumber, fromTwos, mask, toBigInt } from "./maths.js";
 
- import { defineProperties } from "./properties.js";
 
- const BN_N1 = BigInt(-1);
 
- const BN_0 = BigInt(0);
 
- const BN_1 = BigInt(1);
 
- const BN_5 = BigInt(5);
 
- const _guard = {};
 
- // Constant to pull zeros from for multipliers
 
- let Zeros = "0000";
 
- while (Zeros.length < 80) {
 
-     Zeros += Zeros;
 
- }
 
- // Returns a string "1" followed by decimal "0"s
 
- function getTens(decimals) {
 
-     let result = Zeros;
 
-     while (result.length < decimals) {
 
-         result += result;
 
-     }
 
-     return BigInt("1" + result.substring(0, decimals));
 
- }
 
- function checkValue(val, format, safeOp) {
 
-     const width = BigInt(format.width);
 
-     if (format.signed) {
 
-         const limit = (BN_1 << (width - BN_1));
 
-         assert(safeOp == null || (val >= -limit && val < limit), "overflow", "NUMERIC_FAULT", {
 
-             operation: safeOp, fault: "overflow", value: val
 
-         });
 
-         if (val > BN_0) {
 
-             val = fromTwos(mask(val, width), width);
 
-         }
 
-         else {
 
-             val = -fromTwos(mask(-val, width), width);
 
-         }
 
-     }
 
-     else {
 
-         const limit = (BN_1 << width);
 
-         assert(safeOp == null || (val >= 0 && val < limit), "overflow", "NUMERIC_FAULT", {
 
-             operation: safeOp, fault: "overflow", value: val
 
-         });
 
-         val = (((val % limit) + limit) % limit) & (limit - BN_1);
 
-     }
 
-     return val;
 
- }
 
- function getFormat(value) {
 
-     if (typeof (value) === "number") {
 
-         value = `fixed128x${value}`;
 
-     }
 
-     let signed = true;
 
-     let width = 128;
 
-     let decimals = 18;
 
-     if (typeof (value) === "string") {
 
-         // Parse the format string
 
-         if (value === "fixed") {
 
-             // defaults...
 
-         }
 
-         else if (value === "ufixed") {
 
-             signed = false;
 
-         }
 
-         else {
 
-             const match = value.match(/^(u?)fixed([0-9]+)x([0-9]+)$/);
 
-             assertArgument(match, "invalid fixed format", "format", value);
 
-             signed = (match[1] !== "u");
 
-             width = parseInt(match[2]);
 
-             decimals = parseInt(match[3]);
 
-         }
 
-     }
 
-     else if (value) {
 
-         // Extract the values from the object
 
-         const v = value;
 
-         const check = (key, type, defaultValue) => {
 
-             if (v[key] == null) {
 
-                 return defaultValue;
 
-             }
 
-             assertArgument(typeof (v[key]) === type, "invalid fixed format (" + key + " not " + type + ")", "format." + key, v[key]);
 
-             return v[key];
 
-         };
 
-         signed = check("signed", "boolean", signed);
 
-         width = check("width", "number", width);
 
-         decimals = check("decimals", "number", decimals);
 
-     }
 
-     assertArgument((width % 8) === 0, "invalid FixedNumber width (not byte aligned)", "format.width", width);
 
-     assertArgument(decimals <= 80, "invalid FixedNumber decimals (too large)", "format.decimals", decimals);
 
-     const name = (signed ? "" : "u") + "fixed" + String(width) + "x" + String(decimals);
 
-     return { signed, width, decimals, name };
 
- }
 
- function toString(val, decimals) {
 
-     let negative = "";
 
-     if (val < BN_0) {
 
-         negative = "-";
 
-         val *= BN_N1;
 
-     }
 
-     let str = val.toString();
 
-     // No decimal point for whole values
 
-     if (decimals === 0) {
 
-         return (negative + str);
 
-     }
 
-     // Pad out to the whole component (including a whole digit)
 
-     while (str.length <= decimals) {
 
-         str = Zeros + str;
 
-     }
 
-     // Insert the decimal point
 
-     const index = str.length - decimals;
 
-     str = str.substring(0, index) + "." + str.substring(index);
 
-     // Trim the whole component (leaving at least one 0)
 
-     while (str[0] === "0" && str[1] !== ".") {
 
-         str = str.substring(1);
 
-     }
 
-     // Trim the decimal component (leaving at least one 0)
 
-     while (str[str.length - 1] === "0" && str[str.length - 2] !== ".") {
 
-         str = str.substring(0, str.length - 1);
 
-     }
 
-     return (negative + str);
 
- }
 
- /**
 
-  *  A FixedNumber represents a value over its [[FixedFormat]]
 
-  *  arithmetic field.
 
-  *
 
-  *  A FixedNumber can be used to perform math, losslessly, on
 
-  *  values which have decmial places.
 
-  *
 
-  *  A FixedNumber has a fixed bit-width to store values in, and stores all
 
-  *  values internally by multiplying the value by 10 raised to the power of
 
-  *  %%decimals%%.
 
-  *
 
-  *  If operations are performed that cause a value to grow too high (close to
 
-  *  positive infinity) or too low (close to negative infinity), the value
 
-  *  is said to //overflow//.
 
-  *
 
-  *  For example, an 8-bit signed value, with 0 decimals may only be within
 
-  *  the range ``-128`` to ``127``; so ``-128 - 1`` will overflow and become
 
-  *  ``127``. Likewise, ``127 + 1`` will overflow and become ``-127``.
 
-  *
 
-  *  Many operation have a normal and //unsafe// variant. The normal variant
 
-  *  will throw a [[NumericFaultError]] on any overflow, while the //unsafe//
 
-  *  variant will silently allow overflow, corrupting its value value.
 
-  *
 
-  *  If operations are performed that cause a value to become too small
 
-  *  (close to zero), the value loses precison and is said to //underflow//.
 
-  *
 
-  *  For example, an value with 1 decimal place may store a number as small
 
-  *  as ``0.1``, but the value of ``0.1 / 2`` is ``0.05``, which cannot fit
 
-  *  into 1 decimal place, so underflow occurs which means precision is lost
 
-  *  and the value becomes ``0``.
 
-  *
 
-  *  Some operations have a normal and //signalling// variant. The normal
 
-  *  variant will silently ignore underflow, while the //signalling// variant
 
-  *  will thow a [[NumericFaultError]] on underflow.
 
-  */
 
- export class FixedNumber {
 
-     /**
 
-      *  The specific fixed-point arithmetic field for this value.
 
-      */
 
-     format;
 
-     #format;
 
-     // The actual value (accounting for decimals)
 
-     #val;
 
-     // A base-10 value to multiple values by to maintain the magnitude
 
-     #tens;
 
-     /**
 
-      *  This is a property so console.log shows a human-meaningful value.
 
-      *
 
-      *  @private
 
-      */
 
-     _value;
 
-     // Use this when changing this file to get some typing info,
 
-     // but then switch to any to mask the internal type
 
-     //constructor(guard: any, value: bigint, format: _FixedFormat) {
 
-     /**
 
-      *  @private
 
-      */
 
-     constructor(guard, value, format) {
 
-         assertPrivate(guard, _guard, "FixedNumber");
 
-         this.#val = value;
 
-         this.#format = format;
 
-         const _value = toString(value, format.decimals);
 
-         defineProperties(this, { format: format.name, _value });
 
-         this.#tens = getTens(format.decimals);
 
-     }
 
-     /**
 
-      *  If true, negative values are permitted, otherwise only
 
-      *  positive values and zero are allowed.
 
-      */
 
-     get signed() { return this.#format.signed; }
 
-     /**
 
-      *  The number of bits available to store the value.
 
-      */
 
-     get width() { return this.#format.width; }
 
-     /**
 
-      *  The number of decimal places in the fixed-point arithment field.
 
-      */
 
-     get decimals() { return this.#format.decimals; }
 
-     /**
 
-      *  The value as an integer, based on the smallest unit the
 
-      *  [[decimals]] allow.
 
-      */
 
-     get value() { return this.#val; }
 
-     #checkFormat(other) {
 
-         assertArgument(this.format === other.format, "incompatible format; use fixedNumber.toFormat", "other", other);
 
-     }
 
-     #checkValue(val, safeOp) {
 
-         /*
 
-                 const width = BigInt(this.width);
 
-                 if (this.signed) {
 
-                     const limit = (BN_1 << (width - BN_1));
 
-                     assert(safeOp == null || (val >= -limit  && val < limit), "overflow", "NUMERIC_FAULT", {
 
-                         operation: <string>safeOp, fault: "overflow", value: val
 
-                     });
 
-         
 
-                     if (val > BN_0) {
 
-                         val = fromTwos(mask(val, width), width);
 
-                     } else {
 
-                         val = -fromTwos(mask(-val, width), width);
 
-                     }
 
-         
 
-                 } else {
 
-                     const masked = mask(val, width);
 
-                     assert(safeOp == null || (val >= 0 && val === masked), "overflow", "NUMERIC_FAULT", {
 
-                         operation: <string>safeOp, fault: "overflow", value: val
 
-                     });
 
-                     val = masked;
 
-                 }
 
-         */
 
-         val = checkValue(val, this.#format, safeOp);
 
-         return new FixedNumber(_guard, val, this.#format);
 
-     }
 
-     #add(o, safeOp) {
 
-         this.#checkFormat(o);
 
-         return this.#checkValue(this.#val + o.#val, safeOp);
 
-     }
 
-     /**
 
-      *  Returns a new [[FixedNumber]] with the result of %%this%% added
 
-      *  to %%other%%, ignoring overflow.
 
-      */
 
-     addUnsafe(other) { return this.#add(other); }
 
-     /**
 
-      *  Returns a new [[FixedNumber]] with the result of %%this%% added
 
-      *  to %%other%%. A [[NumericFaultError]] is thrown if overflow
 
-      *  occurs.
 
-      */
 
-     add(other) { return this.#add(other, "add"); }
 
-     #sub(o, safeOp) {
 
-         this.#checkFormat(o);
 
-         return this.#checkValue(this.#val - o.#val, safeOp);
 
-     }
 
-     /**
 
-      *  Returns a new [[FixedNumber]] with the result of %%other%% subtracted
 
-      *  from %%this%%, ignoring overflow.
 
-      */
 
-     subUnsafe(other) { return this.#sub(other); }
 
-     /**
 
-      *  Returns a new [[FixedNumber]] with the result of %%other%% subtracted
 
-      *  from %%this%%. A [[NumericFaultError]] is thrown if overflow
 
-      *  occurs.
 
-      */
 
-     sub(other) { return this.#sub(other, "sub"); }
 
-     #mul(o, safeOp) {
 
-         this.#checkFormat(o);
 
-         return this.#checkValue((this.#val * o.#val) / this.#tens, safeOp);
 
-     }
 
-     /**
 
-      *  Returns a new [[FixedNumber]] with the result of %%this%% multiplied
 
-      *  by %%other%%, ignoring overflow and underflow (precision loss).
 
-      */
 
-     mulUnsafe(other) { return this.#mul(other); }
 
-     /**
 
-      *  Returns a new [[FixedNumber]] with the result of %%this%% multiplied
 
-      *  by %%other%%. A [[NumericFaultError]] is thrown if overflow
 
-      *  occurs.
 
-      */
 
-     mul(other) { return this.#mul(other, "mul"); }
 
-     /**
 
-      *  Returns a new [[FixedNumber]] with the result of %%this%% multiplied
 
-      *  by %%other%%. A [[NumericFaultError]] is thrown if overflow
 
-      *  occurs or if underflow (precision loss) occurs.
 
-      */
 
-     mulSignal(other) {
 
-         this.#checkFormat(other);
 
-         const value = this.#val * other.#val;
 
-         assert((value % this.#tens) === BN_0, "precision lost during signalling mul", "NUMERIC_FAULT", {
 
-             operation: "mulSignal", fault: "underflow", value: this
 
-         });
 
-         return this.#checkValue(value / this.#tens, "mulSignal");
 
-     }
 
-     #div(o, safeOp) {
 
-         assert(o.#val !== BN_0, "division by zero", "NUMERIC_FAULT", {
 
-             operation: "div", fault: "divide-by-zero", value: this
 
-         });
 
-         this.#checkFormat(o);
 
-         return this.#checkValue((this.#val * this.#tens) / o.#val, safeOp);
 
-     }
 
-     /**
 
-      *  Returns a new [[FixedNumber]] with the result of %%this%% divided
 
-      *  by %%other%%, ignoring underflow (precision loss). A
 
-      *  [[NumericFaultError]] is thrown if overflow occurs.
 
-      */
 
-     divUnsafe(other) { return this.#div(other); }
 
-     /**
 
-      *  Returns a new [[FixedNumber]] with the result of %%this%% divided
 
-      *  by %%other%%, ignoring underflow (precision loss). A
 
-      *  [[NumericFaultError]] is thrown if overflow occurs.
 
-      */
 
-     div(other) { return this.#div(other, "div"); }
 
-     /**
 
-      *  Returns a new [[FixedNumber]] with the result of %%this%% divided
 
-      *  by %%other%%. A [[NumericFaultError]] is thrown if underflow
 
-      *  (precision loss) occurs.
 
-      */
 
-     divSignal(other) {
 
-         assert(other.#val !== BN_0, "division by zero", "NUMERIC_FAULT", {
 
-             operation: "div", fault: "divide-by-zero", value: this
 
-         });
 
-         this.#checkFormat(other);
 
-         const value = (this.#val * this.#tens);
 
-         assert((value % other.#val) === BN_0, "precision lost during signalling div", "NUMERIC_FAULT", {
 
-             operation: "divSignal", fault: "underflow", value: this
 
-         });
 
-         return this.#checkValue(value / other.#val, "divSignal");
 
-     }
 
-     /**
 
-      *  Returns a comparison result between %%this%% and %%other%%.
 
-      *
 
-      *  This is suitable for use in sorting, where ``-1`` implies %%this%%
 
-      *  is smaller, ``1`` implies %%this%% is larger and ``0`` implies
 
-      *  both are equal.
 
-      */
 
-     cmp(other) {
 
-         let a = this.value, b = other.value;
 
-         // Coerce a and b to the same magnitude
 
-         const delta = this.decimals - other.decimals;
 
-         if (delta > 0) {
 
-             b *= getTens(delta);
 
-         }
 
-         else if (delta < 0) {
 
-             a *= getTens(-delta);
 
-         }
 
-         // Comnpare
 
-         if (a < b) {
 
-             return -1;
 
-         }
 
-         if (a > b) {
 
-             return 1;
 
-         }
 
-         return 0;
 
-     }
 
-     /**
 
-      *  Returns true if %%other%% is equal to %%this%%.
 
-      */
 
-     eq(other) { return this.cmp(other) === 0; }
 
-     /**
 
-      *  Returns true if %%other%% is less than to %%this%%.
 
-      */
 
-     lt(other) { return this.cmp(other) < 0; }
 
-     /**
 
-      *  Returns true if %%other%% is less than or equal to %%this%%.
 
-      */
 
-     lte(other) { return this.cmp(other) <= 0; }
 
-     /**
 
-      *  Returns true if %%other%% is greater than to %%this%%.
 
-      */
 
-     gt(other) { return this.cmp(other) > 0; }
 
-     /**
 
-      *  Returns true if %%other%% is greater than or equal to %%this%%.
 
-      */
 
-     gte(other) { return this.cmp(other) >= 0; }
 
-     /**
 
-      *  Returns a new [[FixedNumber]] which is the largest **integer**
 
-      *  that is less than or equal to %%this%%.
 
-      *
 
-      *  The decimal component of the result will always be ``0``.
 
-      */
 
-     floor() {
 
-         let val = this.#val;
 
-         if (this.#val < BN_0) {
 
-             val -= this.#tens - BN_1;
 
-         }
 
-         val = (this.#val / this.#tens) * this.#tens;
 
-         return this.#checkValue(val, "floor");
 
-     }
 
-     /**
 
-      *  Returns a new [[FixedNumber]] which is the smallest **integer**
 
-      *  that is greater than or equal to %%this%%.
 
-      *
 
-      *  The decimal component of the result will always be ``0``.
 
-      */
 
-     ceiling() {
 
-         let val = this.#val;
 
-         if (this.#val > BN_0) {
 
-             val += this.#tens - BN_1;
 
-         }
 
-         val = (this.#val / this.#tens) * this.#tens;
 
-         return this.#checkValue(val, "ceiling");
 
-     }
 
-     /**
 
-      *  Returns a new [[FixedNumber]] with the decimal component
 
-      *  rounded up on ties at %%decimals%% places.
 
-      */
 
-     round(decimals) {
 
-         if (decimals == null) {
 
-             decimals = 0;
 
-         }
 
-         // Not enough precision to not already be rounded
 
-         if (decimals >= this.decimals) {
 
-             return this;
 
-         }
 
-         const delta = this.decimals - decimals;
 
-         const bump = BN_5 * getTens(delta - 1);
 
-         let value = this.value + bump;
 
-         const tens = getTens(delta);
 
-         value = (value / tens) * tens;
 
-         checkValue(value, this.#format, "round");
 
-         return new FixedNumber(_guard, value, this.#format);
 
-     }
 
-     /**
 
-      *  Returns true if %%this%% is equal to ``0``.
 
-      */
 
-     isZero() { return (this.#val === BN_0); }
 
-     /**
 
-      *  Returns true if %%this%% is less than ``0``.
 
-      */
 
-     isNegative() { return (this.#val < BN_0); }
 
-     /**
 
-      *  Returns the string representation of %%this%%.
 
-      */
 
-     toString() { return this._value; }
 
-     /**
 
-      *  Returns a float approximation.
 
-      *
 
-      *  Due to IEEE 754 precission (or lack thereof), this function
 
-      *  can only return an approximation and most values will contain
 
-      *  rounding errors.
 
-      */
 
-     toUnsafeFloat() { return parseFloat(this.toString()); }
 
-     /**
 
-      *  Return a new [[FixedNumber]] with the same value but has had
 
-      *  its field set to %%format%%.
 
-      *
 
-      *  This will throw if the value cannot fit into %%format%%.
 
-      */
 
-     toFormat(format) {
 
-         return FixedNumber.fromString(this.toString(), format);
 
-     }
 
-     /**
 
-      *  Creates a new [[FixedNumber]] for %%value%% divided by
 
-      *  %%decimal%% places with %%format%%.
 
-      *
 
-      *  This will throw a [[NumericFaultError]] if %%value%% (once adjusted
 
-      *  for %%decimals%%) cannot fit in %%format%%, either due to overflow
 
-      *  or underflow (precision loss).
 
-      */
 
-     static fromValue(_value, _decimals, _format) {
 
-         const decimals = (_decimals == null) ? 0 : getNumber(_decimals);
 
-         const format = getFormat(_format);
 
-         let value = getBigInt(_value, "value");
 
-         const delta = decimals - format.decimals;
 
-         if (delta > 0) {
 
-             const tens = getTens(delta);
 
-             assert((value % tens) === BN_0, "value loses precision for format", "NUMERIC_FAULT", {
 
-                 operation: "fromValue", fault: "underflow", value: _value
 
-             });
 
-             value /= tens;
 
-         }
 
-         else if (delta < 0) {
 
-             value *= getTens(-delta);
 
-         }
 
-         checkValue(value, format, "fromValue");
 
-         return new FixedNumber(_guard, value, format);
 
-     }
 
-     /**
 
-      *  Creates a new [[FixedNumber]] for %%value%% with %%format%%.
 
-      *
 
-      *  This will throw a [[NumericFaultError]] if %%value%% cannot fit
 
-      *  in %%format%%, either due to overflow or underflow (precision loss).
 
-      */
 
-     static fromString(_value, _format) {
 
-         const match = _value.match(/^(-?)([0-9]*)\.?([0-9]*)$/);
 
-         assertArgument(match && (match[2].length + match[3].length) > 0, "invalid FixedNumber string value", "value", _value);
 
-         const format = getFormat(_format);
 
-         let whole = (match[2] || "0"), decimal = (match[3] || "");
 
-         // Pad out the decimals
 
-         while (decimal.length < format.decimals) {
 
-             decimal += Zeros;
 
-         }
 
-         // Check precision is safe
 
-         assert(decimal.substring(format.decimals).match(/^0*$/), "too many decimals for format", "NUMERIC_FAULT", {
 
-             operation: "fromString", fault: "underflow", value: _value
 
-         });
 
-         // Remove extra padding
 
-         decimal = decimal.substring(0, format.decimals);
 
-         const value = BigInt(match[1] + whole + decimal);
 
-         checkValue(value, format, "fromString");
 
-         return new FixedNumber(_guard, value, format);
 
-     }
 
-     /**
 
-      *  Creates a new [[FixedNumber]] with the big-endian representation
 
-      *  %%value%% with %%format%%.
 
-      *
 
-      *  This will throw a [[NumericFaultError]] if %%value%% cannot fit
 
-      *  in %%format%% due to overflow.
 
-      */
 
-     static fromBytes(_value, _format) {
 
-         let value = toBigInt(getBytes(_value, "value"));
 
-         const format = getFormat(_format);
 
-         if (format.signed) {
 
-             value = fromTwos(value, format.width);
 
-         }
 
-         checkValue(value, format, "fromBytes");
 
-         return new FixedNumber(_guard, value, format);
 
-     }
 
- }
 
- //const f1 = FixedNumber.fromString("12.56", "fixed16x2");
 
- //const f2 = FixedNumber.fromString("0.3", "fixed16x2");
 
- //console.log(f1.divSignal(f2));
 
- //const BUMP = FixedNumber.from("0.5");
 
- //# sourceMappingURL=fixednumber.js.map
 
 
  |