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Gate integration operations

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thepaperpilot 2023-04-22 18:04:01 -05:00
parent 44f8b59925
commit 2c4083281f
1 changed files with 111 additions and 0 deletions
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111
src/game/formulas/operations.ts
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@ -17,6 +17,9 @@ export function invertNeg(value: DecimalSource, lhs: FormulaSource) {
export function integrateNeg(stack: SubstitutionStack, lhs: FormulaSource) {
if (hasVariable(lhs)) {
if (!lhs.isIntegrable()) {
throw new Error("Could not integrate due to variable not being integrable");
}
return Formula.neg(lhs.getIntegralFormula(stack));
}
throw new Error("Could not integrate due to no input being a variable");
@ -37,9 +40,15 @@ export function invertAdd(value: DecimalSource, lhs: FormulaSource, rhs: Formula
export function integrateAdd(stack: SubstitutionStack, lhs: FormulaSource, rhs: FormulaSource) {
if (hasVariable(lhs)) {
if (!lhs.isIntegrable()) {
throw new Error("Could not integrate due to variable not being integrable");
}
const x = lhs.getIntegralFormula(stack);
return Formula.times(rhs, lhs.innermostVariable ?? 0).add(x);
} else if (hasVariable(rhs)) {
if (!rhs.isIntegrable()) {
throw new Error("Could not integrate due to variable not being integrable");
}
const x = rhs.getIntegralFormula(stack);
return Formula.times(lhs, rhs.innermostVariable ?? 0).add(x);
}
@ -52,9 +61,15 @@ export function integrateInnerAdd(
rhs: FormulaSource
) {
if (hasVariable(lhs)) {
if (!lhs.isIntegrable()) {
throw new Error("Could not integrate due to variable not being integrable");
}
const x = lhs.getIntegralFormula(stack);
return Formula.add(x, rhs);
} else if (hasVariable(rhs)) {
if (!rhs.isIntegrable()) {
throw new Error("Could not integrate due to variable not being integrable");
}
const x = rhs.getIntegralFormula(stack);
return Formula.add(x, lhs);
}
@ -72,9 +87,15 @@ export function invertSub(value: DecimalSource, lhs: FormulaSource, rhs: Formula
export function integrateSub(stack: SubstitutionStack, lhs: FormulaSource, rhs: FormulaSource) {
if (hasVariable(lhs)) {
if (!lhs.isIntegrable()) {
throw new Error("Could not integrate due to variable not being integrable");
}
const x = lhs.getIntegralFormula(stack);
return Formula.sub(x, Formula.times(rhs, lhs.innermostVariable ?? 0));
} else if (hasVariable(rhs)) {
if (!rhs.isIntegrable()) {
throw new Error("Could not integrate due to variable not being integrable");
}
const x = rhs.getIntegralFormula(stack);
return Formula.times(lhs, rhs.innermostVariable ?? 0).sub(x);
}
@ -87,9 +108,15 @@ export function integrateInnerSub(
rhs: FormulaSource
) {
if (hasVariable(lhs)) {
if (!lhs.isIntegrable()) {
throw new Error("Could not integrate due to variable not being integrable");
}
const x = lhs.getIntegralFormula(stack);
return Formula.sub(x, rhs);
} else if (hasVariable(rhs)) {
if (!rhs.isIntegrable()) {
throw new Error("Could not integrate due to variable not being integrable");
}
const x = rhs.getIntegralFormula(stack);
return Formula.sub(x, lhs);
}
@ -107,9 +134,15 @@ export function invertMul(value: DecimalSource, lhs: FormulaSource, rhs: Formula
export function integrateMul(stack: SubstitutionStack, lhs: FormulaSource, rhs: FormulaSource) {
if (hasVariable(lhs)) {
if (!lhs.isIntegrable()) {
throw new Error("Could not integrate due to variable not being integrable");
}
const x = lhs.getIntegralFormula(stack);
return Formula.times(x, rhs);
} else if (hasVariable(rhs)) {
if (!rhs.isIntegrable()) {
throw new Error("Could not integrate due to variable not being integrable");
}
const x = rhs.getIntegralFormula(stack);
return Formula.times(x, lhs);
}
@ -140,9 +173,15 @@ export function invertDiv(value: DecimalSource, lhs: FormulaSource, rhs: Formula
export function integrateDiv(stack: SubstitutionStack, lhs: FormulaSource, rhs: FormulaSource) {
if (hasVariable(lhs)) {
if (!lhs.isIntegrable()) {
throw new Error("Could not integrate due to variable not being integrable");
}
const x = lhs.getIntegralFormula(stack);
return Formula.div(x, rhs);
} else if (hasVariable(rhs)) {
if (!rhs.isIntegrable()) {
throw new Error("Could not integrate due to variable not being integrable");
}
const x = rhs.getIntegralFormula(stack);
return Formula.div(lhs, x);
}
@ -171,6 +210,9 @@ export function invertRecip(value: DecimalSource, lhs: FormulaSource) {
export function integrateRecip(stack: SubstitutionStack, lhs: FormulaSource) {
if (hasVariable(lhs)) {
if (!lhs.isIntegrable()) {
throw new Error("Could not integrate due to variable not being integrable");
}
const x = lhs.getIntegralFormula(stack);
return Formula.ln(x);
}
@ -198,6 +240,9 @@ function internalInvertIntegralLog10(value: DecimalSource, lhs: FormulaSource) {
export function integrateLog10(stack: SubstitutionStack, lhs: FormulaSource) {
if (hasVariable(lhs)) {
if (!lhs.isIntegrable()) {
throw new Error("Could not integrate due to variable not being integrable");
}
return new Formula({
inputs: [lhs.getIntegralFormula(stack)],
evaluate: internalIntegrateLog10,
@ -230,6 +275,9 @@ function internalInvertIntegralLog(value: DecimalSource, lhs: FormulaSource, rhs
export function integrateLog(stack: SubstitutionStack, lhs: FormulaSource, rhs: FormulaSource) {
if (hasVariable(lhs)) {
if (!lhs.isIntegrable()) {
throw new Error("Could not integrate due to variable not being integrable");
}
return new Formula({
inputs: [lhs.getIntegralFormula(stack), rhs],
evaluate: internalIntegrateLog,
@ -260,6 +308,9 @@ function internalInvertIntegralLog2(value: DecimalSource, lhs: FormulaSource) {
export function integrateLog2(stack: SubstitutionStack, lhs: FormulaSource) {
if (hasVariable(lhs)) {
if (!lhs.isIntegrable()) {
throw new Error("Could not integrate due to variable not being integrable");
}
return new Formula({
inputs: [lhs.getIntegralFormula(stack)],
evaluate: internalIntegrateLog2,
@ -289,6 +340,9 @@ function internalInvertIntegralLn(value: DecimalSource, lhs: FormulaSource) {
export function integrateLn(stack: SubstitutionStack, lhs: FormulaSource) {
if (hasVariable(lhs)) {
if (!lhs.isIntegrable()) {
throw new Error("Could not integrate due to variable not being integrable");
}
return new Formula({
inputs: [lhs.getIntegralFormula(stack)],
evaluate: internalIntegrateLn,
@ -309,10 +363,16 @@ export function invertPow(value: DecimalSource, lhs: FormulaSource, rhs: Formula
export function integratePow(stack: SubstitutionStack, lhs: FormulaSource, rhs: FormulaSource) {
if (hasVariable(lhs)) {
if (!lhs.isIntegrable()) {
throw new Error("Could not integrate due to variable not being integrable");
}
const x = lhs.getIntegralFormula(stack);
const pow = Formula.add(rhs, 1);
return Formula.pow(x, pow).div(pow);
} else if (hasVariable(rhs)) {
if (!rhs.isIntegrable()) {
throw new Error("Could not integrate due to variable not being integrable");
}
const x = rhs.getIntegralFormula(stack);
return Formula.pow(lhs, x).div(Formula.ln(lhs));
}
@ -328,6 +388,9 @@ export function invertPow10(value: DecimalSource, lhs: FormulaSource) {
export function integratePow10(stack: SubstitutionStack, lhs: FormulaSource) {
if (hasVariable(lhs)) {
if (!lhs.isIntegrable()) {
throw new Error("Could not integrate due to variable not being integrable");
}
const x = lhs.getIntegralFormula(stack);
return Formula.pow10(x).div(Formula.ln(10));
}
@ -345,9 +408,15 @@ export function invertPowBase(value: DecimalSource, lhs: FormulaSource, rhs: For
export function integratePowBase(stack: SubstitutionStack, lhs: FormulaSource, rhs: FormulaSource) {
if (hasVariable(lhs)) {
if (!lhs.isIntegrable()) {
throw new Error("Could not integrate due to variable not being integrable");
}
const x = lhs.getIntegralFormula(stack);
return Formula.pow(rhs, x).div(Formula.ln(rhs));
} else if (hasVariable(rhs)) {
if (!rhs.isIntegrable()) {
throw new Error("Could not integrate due to variable not being integrable");
}
const x = rhs.getIntegralFormula(stack);
const denominator = Formula.add(lhs, 1);
return Formula.pow(x, denominator).div(denominator);
@ -366,6 +435,9 @@ export function invertRoot(value: DecimalSource, lhs: FormulaSource, rhs: Formul
export function integrateRoot(stack: SubstitutionStack, lhs: FormulaSource, rhs: FormulaSource) {
if (hasVariable(lhs)) {
if (!lhs.isIntegrable()) {
throw new Error("Could not integrate due to variable not being integrable");
}
const x = lhs.getIntegralFormula(stack);
return Formula.pow(x, Formula.recip(rhs).add(1)).times(rhs).div(Formula.add(rhs, 1));
}
@ -381,6 +453,9 @@ export function invertExp(value: DecimalSource, lhs: FormulaSource) {
export function integrateExp(stack: SubstitutionStack, lhs: FormulaSource) {
if (hasVariable(lhs)) {
if (!lhs.isIntegrable()) {
throw new Error("Could not integrate due to variable not being integrable");
}
const x = lhs.getIntegralFormula(stack);
return Formula.exp(x);
}
@ -512,6 +587,9 @@ export function invertSin(value: DecimalSource, lhs: FormulaSource) {
export function integrateSin(stack: SubstitutionStack, lhs: FormulaSource) {
if (hasVariable(lhs)) {
if (!lhs.isIntegrable()) {
throw new Error("Could not integrate due to variable not being integrable");
}
const x = lhs.getIntegralFormula(stack);
return Formula.cos(x).neg();
}
@ -527,6 +605,9 @@ export function invertCos(value: DecimalSource, lhs: FormulaSource) {
export function integrateCos(stack: SubstitutionStack, lhs: FormulaSource) {
if (hasVariable(lhs)) {
if (!lhs.isIntegrable()) {
throw new Error("Could not integrate due to variable not being integrable");
}
const x = lhs.getIntegralFormula(stack);
return Formula.sin(x);
}
@ -542,6 +623,9 @@ export function invertTan(value: DecimalSource, lhs: FormulaSource) {
export function integrateTan(stack: SubstitutionStack, lhs: FormulaSource) {
if (hasVariable(lhs)) {
if (!lhs.isIntegrable()) {
throw new Error("Could not integrate due to variable not being integrable");
}
const x = lhs.getIntegralFormula(stack);
return Formula.cos(x).ln().neg();
}
@ -557,6 +641,9 @@ export function invertAsin(value: DecimalSource, lhs: FormulaSource) {
export function integrateAsin(stack: SubstitutionStack, lhs: FormulaSource) {
if (hasVariable(lhs)) {
if (!lhs.isIntegrable()) {
throw new Error("Could not integrate due to variable not being integrable");
}
const x = lhs.getIntegralFormula(stack);
return Formula.asin(x)
.times(x)
@ -574,6 +661,9 @@ export function invertAcos(value: DecimalSource, lhs: FormulaSource) {
export function integrateAcos(stack: SubstitutionStack, lhs: FormulaSource) {
if (hasVariable(lhs)) {
if (!lhs.isIntegrable()) {
throw new Error("Could not integrate due to variable not being integrable");
}
const x = lhs.getIntegralFormula(stack);
return Formula.acos(x)
.times(x)
@ -591,6 +681,9 @@ export function invertAtan(value: DecimalSource, lhs: FormulaSource) {
export function integrateAtan(stack: SubstitutionStack, lhs: FormulaSource) {
if (hasVariable(lhs)) {
if (!lhs.isIntegrable()) {
throw new Error("Could not integrate due to variable not being integrable");
}
const x = lhs.getIntegralFormula(stack);
return Formula.atan(x)
.times(x)
@ -608,6 +701,9 @@ export function invertSinh(value: DecimalSource, lhs: FormulaSource) {
export function integrateSinh(stack: SubstitutionStack, lhs: FormulaSource) {
if (hasVariable(lhs)) {
if (!lhs.isIntegrable()) {
throw new Error("Could not integrate due to variable not being integrable");
}
const x = lhs.getIntegralFormula(stack);
return Formula.cosh(x);
}
@ -623,6 +719,9 @@ export function invertCosh(value: DecimalSource, lhs: FormulaSource) {
export function integrateCosh(stack: SubstitutionStack, lhs: FormulaSource) {
if (hasVariable(lhs)) {
if (!lhs.isIntegrable()) {
throw new Error("Could not integrate due to variable not being integrable");
}
const x = lhs.getIntegralFormula(stack);
return Formula.sinh(x);
}
@ -638,6 +737,9 @@ export function invertTanh(value: DecimalSource, lhs: FormulaSource) {
export function integrateTanh(stack: SubstitutionStack, lhs: FormulaSource) {
if (hasVariable(lhs)) {
if (!lhs.isIntegrable()) {
throw new Error("Could not integrate due to variable not being integrable");
}
const x = lhs.getIntegralFormula(stack);
return Formula.cosh(x).ln();
}
@ -653,6 +755,9 @@ export function invertAsinh(value: DecimalSource, lhs: FormulaSource) {
export function integrateAsinh(stack: SubstitutionStack, lhs: FormulaSource) {
if (hasVariable(lhs)) {
if (!lhs.isIntegrable()) {
throw new Error("Could not integrate due to variable not being integrable");
}
const x = lhs.getIntegralFormula(stack);
return Formula.asinh(x).times(x).sub(Formula.pow(x, 2).add(1).sqrt());
}
@ -668,6 +773,9 @@ export function invertAcosh(value: DecimalSource, lhs: FormulaSource) {
export function integrateAcosh(stack: SubstitutionStack, lhs: FormulaSource) {
if (hasVariable(lhs)) {
if (!lhs.isIntegrable()) {
throw new Error("Could not integrate due to variable not being integrable");
}
const x = lhs.getIntegralFormula(stack);
return Formula.acosh(x)
.times(x)
@ -685,6 +793,9 @@ export function invertAtanh(value: DecimalSource, lhs: FormulaSource) {
export function integrateAtanh(stack: SubstitutionStack, lhs: FormulaSource) {
if (hasVariable(lhs)) {
if (!lhs.isIntegrable()) {
throw new Error("Could not integrate due to variable not being integrable");
}
const x = lhs.getIntegralFormula(stack);
return Formula.atanh(x)
.times(x)