Player Progression Curve Calculator

ANA›Life Services Authority›National Calculator Authority›Player Progression Curve Calculator

.calc-container { max-width: 640px; margin: 2rem 0; padding: 1.5rem; background: #fff; border: 1px solid #ddd; border-radius: 8px; box-shadow: 0 1px 3px rgba(0,0,0,0.06); font-family: system-ui, -apple-system, sans-serif; } .calc-container h3 { font-family: Georgia, serif; font-size: 1.15rem; color: #1a1a1a; margin-bottom: 1rem; padding-bottom: 0.5rem; border-bottom: 2px solid var(--ac, #3d5a80); } .calc-row { display: flex; align-items: center; gap: 0.75rem; margin-bottom: 0.75rem; flex-wrap: wrap; } .calc-row label { min-width: 160px; font-size: 0.9rem; color: #333; font-weight: 500; } .calc-row input[type="number"], .calc-row select { flex: 1; min-width: 120px; max-width: 200px; padding: 0.5rem 0.6rem; border: 1px solid #ccc; border-radius: 4px; font-size: 0.9rem; font-family: system-ui, sans-serif; color: #1a1a1a; background: #fafaf8; } .calc-row input:focus, .calc-row select:focus { outline: none; border-color: var(--ac, #3d5a80); box-shadow: 0 0 0 2px rgba(26,74,138,0.12); } .calc-row .unit { font-size: 0.82rem; color: #888; min-width: 30px; } .calc-btn { display: inline-block; margin-top: 0.5rem; padding: 0.55rem 1.5rem; background: var(--ac, #3d5a80); color: #fff; border: none; border-radius: 4px; font-size: 0.9rem; font-weight: 600; cursor: pointer; font-family: system-ui, sans-serif; } .calc-btn:hover { opacity: 0.9; } .calc-result { margin-top: 1.25rem; padding: 1rem 1.25rem; background: #f0f6fc; border-left: 3px solid var(--ac, #3d5a80); border-radius: 0 6px 6px 0; display: none; } .calc-result.visible { display: block; } .calc-result-label { font-size: 0.78rem; text-transform: uppercase; letter-spacing: 0.06em; color: #666; margin-bottom: 0.25rem; } .calc-result-value { font-size: 1.6rem; font-weight: 700; color: var(--ac, #3d5a80); } .calc-result-detail { font-size: 0.85rem; color: #555; margin-top: 0.5rem; line-height: 1.5; } .calc-note { margin-top: 1rem; font-size: 0.8rem; color: #888; font-style: italic; } .calc-grid { display: grid; grid-template-columns: 1fr 1fr; gap: 0.75rem; margin-top: 0.75rem; } .calc-grid-item { padding: 0.6rem 0.8rem; background: #f8f9fa; border-radius: 4px; border: 1px solid #eee; } .calc-grid-item .label { font-size: 0.75rem; color: #888; text-transform: uppercase; letter-spacing: 0.04em; } .calc-grid-item .value { font-size: 1.1rem; font-weight: 600; color: #1a1a1a; } @media (max-width: 720px) { .calc-row { flex-direction: column; align-items: flex-start; gap: 0.3rem; } .calc-row label { min-width: auto; } .calc-row input[type="number"], .calc-row select { max-width: 100%; width: 100%; } .calc-grid { grid-template-columns: 1fr; } } .calc-chart { margin: 1rem 0; text-align: center; } .calc-chart svg { max-width: 100%; height: auto; } .calc-chart-legend { display: flex; flex-wrap: wrap; justify-content: center; gap: 0.6rem 1.2rem; margin-top: 0.6rem; font-size: 0.8rem; color: #555; } .calc-chart-legend span { display: inline-flex; align-items: center; gap: 0.3rem; } .calc-chart-legend i { display: inline-block; width: 10px; height: 10px; border-radius: 2px; font-style: normal; } .calc-related { max-width: 640px; margin: 2rem 0 1rem; padding: 1.25rem 1.5rem; background: #f8f9fa; border: 1px solid #e8e8e8; border-radius: 8px; } .calc-related h3 { font-family: Georgia, serif; font-size: 1rem; color: #1a1a1a; margin: 0 0 0.75rem; padding-bottom: 0.4rem; border-bottom: 2px solid var(--ac, #3d5a80); } .calc-related-list { list-style: none; padding: 0; margin: 0 0 0.75rem; display: grid; grid-template-columns: 1fr 1fr; gap: 0.4rem 1.5rem; } .calc-related-list li a { font-size: 0.88rem; color: var(--ac, #3d5a80); text-decoration: none; } .calc-related-list li a:hover { text-decoration: underline; } .calc-browse-all { margin: 0.5rem 0 0; font-size: 0.9rem; font-weight: 600; } .calc-browse-all a { color: var(--ac, #3d5a80); text-decoration: none; } .calc-browse-all a:hover { text-decoration: underline; } @media (max-width: 720px) { .calc-related-list { grid-template-columns: 1fr; } }

Player Progression Curve Calculator

Design player level progression curves by calculating XP requirements per level using linear, polynomial, or exponential scaling models used in RPG and game design.

Base XP (XP to reach Level 2)

Max Level

Curve Type

Linear Polynomial (Power) Exponential

Exponent / Growth Factor

Polynomial: power exponent (e.g. 2). Exponential: multiplier per level (e.g. 1.1). Linear: XP increment per level.

Query Level (show details for this level)

Calculate Progression Results will appear here.

function plaCalc() { var baseXP = parseFloat(document.getElementById('pla-base-xp').value); var maxLevel = parseInt(document.getElementById('pla-max-level').value); var curveType = document.getElementById('pla-curve-type').value; var exponent = parseFloat(document.getElementById('pla-exponent').value); var queryLevel = parseInt(document.getElementById('pla-query-level').value); var resultDiv = document.getElementById('pla-result');

// --- Input Validation --- if (isNaN(baseXP) || baseXP Error: Base XP must be a positive number.'; return; } if (isNaN(maxLevel) || maxLevel 100) { resultDiv.innerHTML = 'Error: Max Level must be between 2 and 100.'; return; } if (isNaN(exponent) || exponent Error: Exponent/Growth Factor must be a positive number.'; return; } if (curveType === 'exponential' && exponent Error: Exponential growth factor must be greater than 1.0 (e.g. 1.1 means 10% more XP per level).'; return; } if (isNaN(queryLevel) || queryLevel maxLevel) { resultDiv.innerHTML = 'Error: Query Level must be between 2 and Max Level (' + maxLevel + ').'; return; }

// --- XP per level calculation --- // xpForLevel(n) = XP needed to go from level n-1 to level n // Level 1 -> 2 = baseXP function xpForLevel(n) { if (n 5 && queryLevel ' + lv + '' + Math.round(xpStep).toLocaleString() + '' + Math.round(cumXP).toLocaleString() + ''; }

// Midpoint level (50% of total XP) var midLevel = 2; for (var i = 2; i = totalXP * 0.5) { midLevel = i; break; } }

var curveLabel = curveType.charAt(0).toUpperCase() + curveType.slice(1); var formulaStr = ''; if (curveType === 'linear') { formulaStr = 'XP(n) = ' + baseXP + ' + ' + exponent + ' × (n − 2)'; } else if (curveType === 'polynomial') { formulaStr = 'XP(n) = ' + baseXP + ' × (n − 1)' + exponent + ''; } else { formulaStr = 'XP(n) = ' + baseXP + ' × ' + exponent + '(n − 2)'; }

resultDiv.innerHTML = '### Progression Summary ' + '' + 'Curve Type' + curveLabel + '' + 'Base XP (Lvl 1→2)' + Math.round(baseXP).toLocaleString() + ' XP' + 'XP for Level ' + queryLevel + '' + Math.round(queryXPStep).toLocaleString() + ' XP' + 'Cumulative XP to Reach Level ' + queryLevel + '' + Math.round(queryCumulative).toLocaleString() + ' XP' + 'Total XP to Max Level (' + maxLevel + ')' + Math.round(totalXP).toLocaleString() + ' XP' + '50% XP Midpoint LevelLevel ' + midLevel + '' + 'XP Ratio (Max vs Base)' + (xpForLevel(maxLevel) / baseXP).toFixed(2) + 'x' + '' + '#### Level Breakdown (selected levels) ' + '' + 'LevelXP This LevelCumulative XP' + '' + tableRows + '' + '' + 'Formula used: ' + formulaStr + '  |  Highlighted row = Query Level

'; }

#### Formulas

Linear: XP(n) = BaseXP + Increment × (n − 2) XP per level increases by a fixed amount each level.

Polynomial (Power): XP(n) = BaseXP × (n − 1)exponent Classic RPG formula. Exponent = 2 gives quadratic growth (used in many JRPGs).

Exponential: XP(n) = BaseXP × factor(n − 2) XP multiplies by a constant factor each level. Factor = 1.1 means 10% more XP per level.

Cumulative XP to Level N: Σ XP(i) for i = 2 to N

#### Assumptions & References

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References

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