token-js: add JS helpers for interest bearing tokens' UIAmounts

token/js/src/actions/amountToUiAmount.ts

@@ -1,7 +1,9 @@
-import type { Connection, PublicKey, Signer, TransactionError } from '@solana/web3.js';
-import { Transaction } from '@solana/web3.js';
-import { TOKEN_PROGRAM_ID } from '../constants.js';
+import type { Connection, Signer, TransactionError } from '@solana/web3.js';
+import { PublicKey, Transaction } from '@solana/web3.js';
+import { TOKEN_2022_PROGRAM_ID, TOKEN_PROGRAM_ID } from '../constants.js';
 import { createAmountToUiAmountInstruction } from '../instructions/amountToUiAmount.js';
+import { getMint, unpackMint } from '../state/mint.js';
+import { getInterestBearingMintConfigState } from '../extensions/interestBearingMint/state.js';
 
 /**
  * Amount as a string using mint-prescribed decimals
@@ -28,3 +30,242 @@ export async function amountToUiAmount(
     }
     return err;
 }
+
+/**
+ * Calculates the exponent for the interest rate formula.
+ * @param t1 - The start time in seconds.
+ * @param t2 - The end time in seconds.
+ * @param r - The interest rate in basis points.
+ * @returns The calculated exponent.
+ */
+function calculateExponentForTimesAndRate(t1: number, t2: number, r: number) {
+    const ONE_IN_BASIS_POINTS = 10000;
+    const SECONDS_PER_YEAR = 60 * 60 * 24 * 365.24;
+    const timespan = t2 - t1;
+    const numerator = r * timespan;
+    const exponent = numerator / (SECONDS_PER_YEAR * ONE_IN_BASIS_POINTS);
+    return Math.exp(exponent);
+}
+
+/**
+ * Retrieves the current timestamp from the Solana clock sysvar.
+ * @param connection - The Solana connection object.
+ * @returns A promise that resolves to the current timestamp in seconds.
+ * @throws An error if the sysvar clock cannot be fetched or parsed.
+ */
+async function getSysvarClockTimestamp(connection: Connection): Promise<number> {
+    const info = await connection.getParsedAccountInfo(new PublicKey('SysvarC1ock11111111111111111111111111111111'));
+    if (!info) {
+        throw new Error('Failed to fetch sysvar clock');
+    }
+    if (typeof info.value === 'object' && info.value && 'data' in info.value && 'parsed' in info.value.data) {
+        return info.value.data.parsed.info.unixTimestamp;
+    }
+    throw new Error('Failed to parse sysvar clock');
+}
+
+/**
+ * Convert amount to UiAmount for a mint with interest bearing extension without simulating a transaction
+ * This implements the same logic as the CPI instruction available in /token/program-2022/src/extension/interest_bearing_mint/mod.rs
+ * In general to calculate compounding interest over a period of time, the formula is:
+ * A = P * e^(r * t) where
+ * A = final amount after interest
+ * P = principal amount (initial investment)
+ * r = annual interest rate (as a decimal, e.g., 5% = 0.05)
+ * t = time in years
+ * e = mathematical constant (~2.718)
+ *
+ * In this case, we are calculating the total scale factor for the interest bearing extension which is the product of two exponential functions:
+ * totalScale = e^(r1 * t1) * e^(r2 * t2)
+ * where r1 and r2 are the interest rates before and after the last update, and t1 and t2 are the times in years between
+ * the initialization timestamp and the last update timestamp, and between the last update timestamp and the current timestamp.
+ *
+ * @param amount                   Amount of tokens to be converted
+ * @param decimals                 Number of decimals of the mint
+ * @param currentTimestamp         Current timestamp in seconds
+ * @param lastUpdateTimestamp      Last time the interest rate was updated in seconds
+ * @param initializationTimestamp  Time the interest bearing extension was initialized in seconds
+ * @param preUpdateAverageRate     Interest rate in basis points (1 basis point = 0.01%) before last update
+ * @param currentRate              Current interest rate in basis points
+ *
+ * @return Amount scaled by accrued interest as a string with appropriate decimal places
+ */
+export function amountToUiAmountWithoutSimulation(
+    amount: bigint,
+    decimals: number,
+    currentTimestamp: number, // in seconds
+    lastUpdateTimestamp: number,
+    initializationTimestamp: number,
+    preUpdateAverageRate: number,
+    currentRate: number,
+): string {
+    // Calculate pre-update exponent
+    // e^(preUpdateAverageRate * (lastUpdateTimestamp - initializationTimestamp) / (SECONDS_PER_YEAR * ONE_IN_BASIS_POINTS))
+    const preUpdateExp = calculateExponentForTimesAndRate(
+        initializationTimestamp,
+        lastUpdateTimestamp,
+        preUpdateAverageRate,
+    );
+
+    // Calculate post-update exponent
+    // e^(currentRate * (currentTimestamp - lastUpdateTimestamp) / (SECONDS_PER_YEAR * ONE_IN_BASIS_POINTS))
+    const postUpdateExp = calculateExponentForTimesAndRate(lastUpdateTimestamp, currentTimestamp, currentRate);
+
+    // Calculate total scale
+    const totalScale = preUpdateExp * postUpdateExp;
+    // Scale the amount by the total interest factor
+    const scaledAmount = Number(amount) * totalScale;
+
+    // Calculate the decimal factor (e.g. 100 for 2 decimals)
+    const decimalFactor = Math.pow(10, decimals);
+
+    // Convert to UI amount by:
+    // 1. Truncating to remove any remaining decimals
+    // 2. Dividing by decimal factor to get final UI amount
+    // 3. Converting to string
+    return (Math.trunc(scaledAmount) / decimalFactor).toString();
+}
+
+/**
+ * Convert amount to UiAmount for a mint without simulating a transaction
+ * This implements the same logic as `process_amount_to_ui_amount` in /token/program-2022/src/processor.rs
+ * and `process_amount_to_ui_amount` in /token/program/src/processor.rs
+ *
+ * @param connection     Connection to use
+ * @param mint           Mint to use for calculations
+ * @param amount         Amount of tokens to be converted to Ui Amount
+ *
+ * @return Ui Amount generated
+ */
+export async function amountToUiAmountForMintWithoutSimulation(
+    connection: Connection,
+    mint: PublicKey,
+    amount: bigint,
+): Promise<string> {
+    const accountInfo = await connection.getAccountInfo(mint);
+    const programId = accountInfo?.owner;
+    if (programId !== TOKEN_PROGRAM_ID && programId !== TOKEN_2022_PROGRAM_ID) {
+        throw new Error('Invalid program ID');
+    }
+
+    const mintInfo = unpackMint(mint, accountInfo, programId);
+
+    const interestBearingMintConfigState = getInterestBearingMintConfigState(mintInfo);
+    if (!interestBearingMintConfigState) {
+        const amountNumber = Number(amount);
+        const decimalsFactor = Math.pow(10, mintInfo.decimals);
+        return (amountNumber / decimalsFactor).toString();
+    }
+
+    const timestamp = await getSysvarClockTimestamp(connection);
+
+    return amountToUiAmountWithoutSimulation(
+        amount,
+        mintInfo.decimals,
+        timestamp,
+        Number(interestBearingMintConfigState.lastUpdateTimestamp),
+        Number(interestBearingMintConfigState.initializationTimestamp),
+        interestBearingMintConfigState.preUpdateAverageRate,
+        interestBearingMintConfigState.currentRate,
+    );
+}
+
+/**
+ * Convert an amount with interest back to the original amount without interest
+ * This implements the same logic as the CPI instruction available in /token/program-2022/src/extension/interest_bearing_mint/mod.rs
+ *
+ * @param uiAmount                  UI Amount (principal plus continuously compounding interest) to be converted back to original principal
+ * @param decimals                  Number of decimals for the mint
+ * @param currentTimestamp          Current timestamp in seconds
+ * @param lastUpdateTimestamp       Last time the interest rate was updated in seconds
+ * @param initializationTimestamp   Time the interest bearing extension was initialized in seconds
+ * @param preUpdateAverageRate      Interest rate in basis points (hundredths of a percent) before the last update
+ * @param currentRate              Current interest rate in basis points
+ *
+ * In general to calculate the principal from the UI amount, the formula is:
+ * P = A / (e^(r * t)) where
+ * P = principal
+ * A = UI amount
+ * r = annual interest rate (as a decimal, e.g., 5% = 0.05)
+ * t = time in years
+ *
+ * In this case, we are calculating the principal by dividing the UI amount by the total scale factor which is the product of two exponential functions:
+ * totalScale = e^(r1 * t1) * e^(r2 * t2)
+ * where r1 is the pre-update average rate, r2 is the current rate, t1 is the time in years between the initialization timestamp and the last update timestamp,
+ * and t2 is the time in years between the last update timestamp and the current timestamp.
+ * then to calculate the principal, we divide the UI amount by the total scale factor:
+ * P = A / totalScale
+ *
+ * @return Original amount (principal) without interest
+ */
+export function uiAmountToAmountWithoutSimulation(
+    uiAmount: string,
+    decimals: number,
+    currentTimestamp: number, // in seconds
+    lastUpdateTimestamp: number,
+    initializationTimestamp: number,
+    preUpdateAverageRate: number,
+    currentRate: number,
+): bigint {
+    const uiAmountNumber = parseFloat(uiAmount);
+    const decimalsFactor = Math.pow(10, decimals);
+    const uiAmountScaled = uiAmountNumber * decimalsFactor;
+
+    // Calculate pre-update exponent
+    const preUpdateExp = calculateExponentForTimesAndRate(
+        initializationTimestamp,
+        lastUpdateTimestamp,
+        preUpdateAverageRate,
+    );
+
+    // Calculate post-update exponent
+    const postUpdateExp = calculateExponentForTimesAndRate(lastUpdateTimestamp, currentTimestamp, currentRate);
+
+    // Calculate total scale
+    const totalScale = preUpdateExp * postUpdateExp;
+
+    // Calculate original principal by dividing the UI amount (principal + interest) by the total scale
+    const originalprincipal = uiAmountScaled / totalScale;
+    return BigInt(Math.trunc(originalprincipal));
+}
+
+/**
+ * Convert a UI amount back to the raw amount
+ *
+ * @param connection     Connection to use
+ * @param mint           Mint to use for calculations
+ * @param uiAmount       UI Amount to be converted back to raw amount
+ *
+ *
+ * @return Raw amount
+ */
+export async function uiAmountToAmountForMintWithoutSimulation(
+    connection: Connection,
+    mint: PublicKey,
+    uiAmount: string,
+): Promise<bigint> {
+    const accountInfo = await connection.getAccountInfo(mint);
+    const programId = accountInfo?.owner;
+    if (programId !== TOKEN_PROGRAM_ID && programId !== TOKEN_2022_PROGRAM_ID) {
+        throw new Error('Invalid program ID');
+    }
+
+    const mintInfo = unpackMint(mint, accountInfo, programId);
+    const interestBearingMintConfigState = getInterestBearingMintConfigState(mintInfo);
+    if (!interestBearingMintConfigState) {
+        const uiAmountScaled = parseFloat(uiAmount) * Math.pow(10, mintInfo.decimals);
+        return BigInt(Math.trunc(uiAmountScaled));
+    }
+
+    const timestamp = await getSysvarClockTimestamp(connection);
+
+    return uiAmountToAmountWithoutSimulation(
+        uiAmount,
+        mintInfo.decimals,
+        timestamp,
+        Number(interestBearingMintConfigState.lastUpdateTimestamp),
+        Number(interestBearingMintConfigState.initializationTimestamp),
+        interestBearingMintConfigState.preUpdateAverageRate,
+        interestBearingMintConfigState.currentRate,
+    );
+}