User:DanR/Agony Damage Ranges

This is the minimum and maximum Agony damage that can be taken for each amount of Agony Resistance deficit, at any Fractal scale between 20 and 100. A "deficit" means having less AR than the official "Suggested Agony Resistance" amount for a particular scale. All damage in these tables represents a percentage of the characters maximum health.

Damage percent range at AR deficit (rounded to one decimal place)

Deficit: 0, Minimum damage: 1, Maximum damage: 1.2
Deficit: 1, Minimum damage: 1, Maximum damage: 2.4
Deficit: 2, Minimum damage: 1.5, Maximum damage: 3.6
Deficit: 3, Minimum damage: 2.7, Maximum damage: 4.8
Deficit: 4, Minimum damage: 3.9, Maximum damage: 6
Deficit: 5, Minimum damage: 5.1, Maximum damage: 7.2
Deficit: 6, Minimum damage: 6.3, Maximum damage: 8.4
Deficit: 7, Minimum damage: 7.5, Maximum damage: 9.6
Deficit: 8, Minimum damage: 8.7, Maximum damage: 10.8
Deficit: 9, Minimum damage: 9.9, Maximum damage: 12
Deficit: 10, Minimum damage: 11.1, Maximum damage: 13.2
Deficit: 11, Minimum damage: 12.3, Maximum damage: 14.4
Deficit: 12, Minimum damage: 13.5, Maximum damage: 15.6
Deficit: 13, Minimum damage: 14.7, Maximum damage: 16.8
Deficit: 14, Minimum damage: 15.9, Maximum damage: 18
Deficit: 15, Minimum damage: 17.1, Maximum damage: 19.2
Deficit: 16, Minimum damage: 18.3, Maximum damage: 20.4
Deficit: 17, Minimum damage: 19.5, Maximum damage: 21.6
Deficit: 18, Minimum damage: 20.7, Maximum damage: 22.8
Deficit: 19, Minimum damage: 21.9, Maximum damage: 24
Deficit: 20, Minimum damage: 23.1, Maximum damage: 25.2
Deficit: 21, Minimum damage: 24.3, Maximum damage: 26.4
Deficit: 22, Minimum damage: 25.5, Maximum damage: 27.6
Deficit: 23, Minimum damage: 26.7, Maximum damage: 28.8
Deficit: 24, Minimum damage: 27.9, Maximum damage: 30
Deficit: 25, Minimum damage: 29.1, Maximum damage: 31.2
Deficit: 26, Minimum damage: 30.3, Maximum damage: 32.4
Deficit: 27, Minimum damage: 31.5, Maximum damage: 33.6
Deficit: 28, Minimum damage: 32.7, Maximum damage: 34.8
Deficit: 29, Minimum damage: 33.9, Maximum damage: 36
Deficit: 30, Minimum damage: 35.1, Maximum damage: 37.2
Deficit: 31, Minimum damage: 36.3, Maximum damage: 38.4
Deficit: 32, Minimum damage: 37.5, Maximum damage: 39.6
Deficit: 33, Minimum damage: 38.7, Maximum damage: 40.8
Deficit: 34, Minimum damage: 39.9, Maximum damage: 42
Deficit: 35, Minimum damage: 41.1, Maximum damage: 43.2
Deficit: 36, Minimum damage: 42.3, Maximum damage: 44.4
Deficit: 37, Minimum damage: 43.5, Maximum damage: 45.6
Deficit: 38, Minimum damage: 44.7, Maximum damage: 46.8
Deficit: 39, Minimum damage: 45.9, Maximum damage: 48
Deficit: 40, Minimum damage: 47.1, Maximum damage: 49.2
Deficit: 41, Minimum damage: 48.3, Maximum damage: 50.4
Deficit: 42, Minimum damage: 49.5, Maximum damage: 51.6
Deficit: 43, Minimum damage: 50.7, Maximum damage: 52.8
Deficit: 44, Minimum damage: 51.9, Maximum damage: 54
Deficit: 45, Minimum damage: 53.1, Maximum damage: 55.2
Deficit: 46, Minimum damage: 54.3, Maximum damage: 56.4
Deficit: 47, Minimum damage: 55.5, Maximum damage: 57.6
Deficit: 48, Minimum damage: 56.7, Maximum damage: 58.8
Deficit: 49, Minimum damage: 57.9, Maximum damage: 60
Deficit: 50, Minimum damage: 59.1, Maximum damage: 61.2
Deficit: 51, Minimum damage: 60.3, Maximum damage: 62.4
Deficit: 52, Minimum damage: 61.5, Maximum damage: 63.6
Deficit: 53, Minimum damage: 62.7, Maximum damage: 64.8
Deficit: 54, Minimum damage: 63.9, Maximum damage: 66
Deficit: 55, Minimum damage: 65.1, Maximum damage: 67.2
Deficit: 56, Minimum damage: 66.3, Maximum damage: 68.4
Deficit: 57, Minimum damage: 67.5, Maximum damage: 69.6
Deficit: 58, Minimum damage: 68.7, Maximum damage: 70.8
Deficit: 59, Minimum damage: 69.9, Maximum damage: 72
Deficit: 60, Minimum damage: 71.1, Maximum damage: 73.2
Deficit: 61, Minimum damage: 72.3, Maximum damage: 74.4
Deficit: 62, Minimum damage: 73.5, Maximum damage: 75.6
Deficit: 63, Minimum damage: 74.7, Maximum damage: 76.8
Deficit: 64, Minimum damage: 75.9, Maximum damage: 78
Deficit: 65, Minimum damage: 77.1, Maximum damage: 79.2
Deficit: 66, Minimum damage: 78.3, Maximum damage: 80.4
Deficit: 67, Minimum damage: 79.5, Maximum damage: 81.6
Deficit: 68, Minimum damage: 80.7, Maximum damage: 82.8
Deficit: 69, Minimum damage: 81.9, Maximum damage: 84
Deficit: 70, Minimum damage: 83.1, Maximum damage: 85.2
Deficit: 71, Minimum damage: 84.3, Maximum damage: 86.4
Deficit: 72, Minimum damage: 85.5, Maximum damage: 87.6
Deficit: 73, Minimum damage: 86.7, Maximum damage: 88.8
Deficit: 74, Minimum damage: 87.9, Maximum damage: 90
Deficit: 75, Minimum damage: 89.1, Maximum damage: 91.2
Deficit: 76, Minimum damage: 90.3, Maximum damage: 92.4
Deficit: 77, Minimum damage: 91.5, Maximum damage: 93.6
Deficit: 78, Minimum damage: 92.7, Maximum damage: 94.8
Deficit: 79, Minimum damage: 93.9, Maximum damage: 96
Deficit: 80, Minimum damage: 95.1, Maximum damage: 97.2
Deficit: 81, Minimum damage: 96.3, Maximum damage: 98.4
Deficit: 82, Minimum damage: 97.5, Maximum damage: 99.6
Deficit: 83, Minimum damage: 98.7, Maximum damage: 100
Deficit: 84, Minimum damage: 99.9, Maximum damage: 100
Deficit: 85, Minimum damage: 100, Maximum damage: 100
Deficit: 86, Minimum damage: 100, Maximum damage: 100
Deficit: 87, Minimum damage: 100, Maximum damage: 100
Deficit: 88, Minimum damage: 100, Maximum damage: 100
Deficit: 89, Minimum damage: 100, Maximum damage: 100
Deficit: 90, Minimum damage: 100, Maximum damage: 100

Damage percent range at AR deficit (rounded to two decimal places)

Deficit: 0, Minimum damage: 1, Maximum damage: 1.22
Deficit: 1, Minimum damage: 1, Maximum damage: 2.42
Deficit: 2, Minimum damage: 1.49, Maximum damage: 3.62
Deficit: 3, Minimum damage: 2.69, Maximum damage: 4.82
Deficit: 4, Minimum damage: 3.89, Maximum damage: 6.02
Deficit: 5, Minimum damage: 5.09, Maximum damage: 7.22
Deficit: 6, Minimum damage: 6.29, Maximum damage: 8.42
Deficit: 7, Minimum damage: 7.49, Maximum damage: 9.62
Deficit: 8, Minimum damage: 8.69, Maximum damage: 10.82
Deficit: 9, Minimum damage: 9.89, Maximum damage: 12.02
Deficit: 10, Minimum damage: 11.09, Maximum damage: 13.22
Deficit: 11, Minimum damage: 12.29, Maximum damage: 14.42
Deficit: 12, Minimum damage: 13.49, Maximum damage: 15.62
Deficit: 13, Minimum damage: 14.69, Maximum damage: 16.82
Deficit: 14, Minimum damage: 15.89, Maximum damage: 18.02
Deficit: 15, Minimum damage: 17.09, Maximum damage: 19.22
Deficit: 16, Minimum damage: 18.29, Maximum damage: 20.42
Deficit: 17, Minimum damage: 19.49, Maximum damage: 21.62
Deficit: 18, Minimum damage: 20.69, Maximum damage: 22.82
Deficit: 19, Minimum damage: 21.89, Maximum damage: 24.02
Deficit: 20, Minimum damage: 23.09, Maximum damage: 25.22
Deficit: 21, Minimum damage: 24.29, Maximum damage: 26.42
Deficit: 22, Minimum damage: 25.49, Maximum damage: 27.62
Deficit: 23, Minimum damage: 26.69, Maximum damage: 28.82
Deficit: 24, Minimum damage: 27.89, Maximum damage: 30.02
Deficit: 25, Minimum damage: 29.09, Maximum damage: 31.22
Deficit: 26, Minimum damage: 30.29, Maximum damage: 32.42
Deficit: 27, Minimum damage: 31.49, Maximum damage: 33.62
Deficit: 28, Minimum damage: 32.69, Maximum damage: 34.82
Deficit: 29, Minimum damage: 33.89, Maximum damage: 36.02
Deficit: 30, Minimum damage: 35.09, Maximum damage: 37.22
Deficit: 31, Minimum damage: 36.29, Maximum damage: 38.42
Deficit: 32, Minimum damage: 37.49, Maximum damage: 39.62
Deficit: 33, Minimum damage: 38.69, Maximum damage: 40.82
Deficit: 34, Minimum damage: 39.89, Maximum damage: 42.02
Deficit: 35, Minimum damage: 41.09, Maximum damage: 43.22
Deficit: 36, Minimum damage: 42.29, Maximum damage: 44.42
Deficit: 37, Minimum damage: 43.49, Maximum damage: 45.62
Deficit: 38, Minimum damage: 44.69, Maximum damage: 46.82
Deficit: 39, Minimum damage: 45.89, Maximum damage: 48.02
Deficit: 40, Minimum damage: 47.09, Maximum damage: 49.22
Deficit: 41, Minimum damage: 48.29, Maximum damage: 50.42
Deficit: 42, Minimum damage: 49.49, Maximum damage: 51.62
Deficit: 43, Minimum damage: 50.69, Maximum damage: 52.82
Deficit: 44, Minimum damage: 51.89, Maximum damage: 54.02
Deficit: 45, Minimum damage: 53.09, Maximum damage: 55.22
Deficit: 46, Minimum damage: 54.29, Maximum damage: 56.42
Deficit: 47, Minimum damage: 55.49, Maximum damage: 57.62
Deficit: 48, Minimum damage: 56.69, Maximum damage: 58.82
Deficit: 49, Minimum damage: 57.89, Maximum damage: 60.02
Deficit: 50, Minimum damage: 59.09, Maximum damage: 61.22
Deficit: 51, Minimum damage: 60.29, Maximum damage: 62.42
Deficit: 52, Minimum damage: 61.49, Maximum damage: 63.62
Deficit: 53, Minimum damage: 62.69, Maximum damage: 64.82
Deficit: 54, Minimum damage: 63.89, Maximum damage: 66.02
Deficit: 55, Minimum damage: 65.09, Maximum damage: 67.22
Deficit: 56, Minimum damage: 66.29, Maximum damage: 68.42
Deficit: 57, Minimum damage: 67.49, Maximum damage: 69.62
Deficit: 58, Minimum damage: 68.69, Maximum damage: 70.82
Deficit: 59, Minimum damage: 69.89, Maximum damage: 72.02
Deficit: 60, Minimum damage: 71.09, Maximum damage: 73.22
Deficit: 61, Minimum damage: 72.29, Maximum damage: 74.42
Deficit: 62, Minimum damage: 73.49, Maximum damage: 75.62
Deficit: 63, Minimum damage: 74.69, Maximum damage: 76.82
Deficit: 64, Minimum damage: 75.89, Maximum damage: 78.02
Deficit: 65, Minimum damage: 77.09, Maximum damage: 79.22
Deficit: 66, Minimum damage: 78.29, Maximum damage: 80.42
Deficit: 67, Minimum damage: 79.49, Maximum damage: 81.62
Deficit: 68, Minimum damage: 80.69, Maximum damage: 82.82
Deficit: 69, Minimum damage: 81.89, Maximum damage: 84.02
Deficit: 70, Minimum damage: 83.09, Maximum damage: 85.22
Deficit: 71, Minimum damage: 84.29, Maximum damage: 86.42
Deficit: 72, Minimum damage: 85.49, Maximum damage: 87.62
Deficit: 73, Minimum damage: 86.69, Maximum damage: 88.82
Deficit: 74, Minimum damage: 87.89, Maximum damage: 90.02
Deficit: 75, Minimum damage: 89.09, Maximum damage: 91.22
Deficit: 76, Minimum damage: 90.29, Maximum damage: 92.42
Deficit: 77, Minimum damage: 91.49, Maximum damage: 93.62
Deficit: 78, Minimum damage: 92.69, Maximum damage: 94.82
Deficit: 79, Minimum damage: 93.89, Maximum damage: 96.02
Deficit: 80, Minimum damage: 95.09, Maximum damage: 97.22
Deficit: 81, Minimum damage: 96.29, Maximum damage: 98.42
Deficit: 82, Minimum damage: 97.49, Maximum damage: 99.62
Deficit: 83, Minimum damage: 98.69, Maximum damage: 100
Deficit: 84, Minimum damage: 99.89, Maximum damage: 100
Deficit: 85, Minimum damage: 100, Maximum damage: 100
Deficit: 86, Minimum damage: 100, Maximum damage: 100
Deficit: 87, Minimum damage: 100, Maximum damage: 100
Deficit: 88, Minimum damage: 100, Maximum damage: 100
Deficit: 89, Minimum damage: 100, Maximum damage: 100
Deficit: 90, Minimum damage: 100, Maximum damage: 100

Java source code used to generate the above tables

Note that this entire program is contained in a single Java class called "Start.java". The package name is "agonydamageranges", but that could be changed to any desired name.

package agonydamageranges;

import java.math.RoundingMode;
import java.text.DecimalFormat;

public class Start {

    public static void main(String[] args) {
        // Create an array containing the suggested agony resistance values
        // at each fractal scale. The index value represents the fractal scale.
        // The indexes go from 0 to 100. Ignore index zero.
        int[] suggestedAR = new int[]{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
            0, 0, 0, 0, 0, 0, 8, 10, 11, 13, 15, 17, 18, 20, 22, 24, 26, 27, 29,
            31, 33, 35, 36, 38, 40, 42, 43, 45, 47, 49, 50, 52, 54, 56, 57, 59,
            61, 63, 65, 67, 69, 70, 72, 74, 75, 77, 79, 81, 83, 85, 86, 88, 89,
            91, 93, 95, 97, 98, 100, 102, 104, 106, 107, 109, 111, 113, 115,
            116, 118, 121, 121, 124, 125, 127, 129, 130, 132, 134, 137, 138,
            140, 141, 143, 145, 146, 148, 150};
        // Create arrays for holding the minimum and maximum damage values.
        // Each index represents the minimum or maximum damage at a particular 
        // AR deficit. A deficit of zero means that a player has the official 
        // suggested AR. The arrays are initialized to a size of 151, to 
        // properly hold a range of deficits from 0-150.
        double[] minimumDamageAtDeficit = new double[151];
        double[] maximumDamageAtDeficit = new double[151];
        // Initialize each array with edge values.
        for (int deficit = 0; deficit <= 150; ++deficit) {
            minimumDamageAtDeficit[deficit] = 100;
            maximumDamageAtDeficit[deficit] = 1;
        }
        // Loop through each player agony resistance value from 0 to 150.
        for (int AR = 0; AR <= 150; ++AR) {
            // Loop through each fractal scale from 20 to 100.
            // (Scales 1-19 don't give any agony damage.)
            for (int scale = 20; scale <= 100; ++scale) {
                // Calculate the damage for the current AR at the current scale.
                double damage = CalculateDamagePercent(scale, AR);
                // Calculate the current deficit.
                int deficit = suggestedAR[scale] - AR;
                // Ignore negative values, because they represent an AR surplus.
                deficit = (deficit < 0) ? 0 : deficit;
                // Record the minimum damage at the current deficit.
                double previousLowest = minimumDamageAtDeficit[deficit];
                minimumDamageAtDeficit[deficit]
                        = (damage < previousLowest) ? damage : previousLowest;
                // Record the maximum damage at the current deficit.
                double previousHighest = maximumDamageAtDeficit[deficit];
                maximumDamageAtDeficit[deficit]
                        = (damage > previousHighest) ? damage : previousHighest;
            } // End: Scale loop.
        } // End: AR loop.
        // Print out all the minimum and maximum damage values.
        // Repeat the print out rounded to one and two decimal places.
        String[] formats = new String[]{"#.#", "#.##"};
        for (int formatIndex = 0; formatIndex <= 1; ++formatIndex) {
            DecimalFormat df = new DecimalFormat(formats[formatIndex]);
            df.setRoundingMode(RoundingMode.HALF_UP);
            System.out.println("Damage range at deficit:");
            for (int deficit = 0; deficit <= 90; ++deficit) {
                String min = df.format(minimumDamageAtDeficit[deficit]);
                String max = df.format(maximumDamageAtDeficit[deficit]);
                System.out.println("Deficit: " + deficit
                        + ", Minimum damage: " + min
                        + ", Maximum damage: " + max
                );
            }
        }
    }

    /**
     * CalculateDamagePercent, Calculates the amount of agony damage given to a
     * player per tick, for a particular fractal scale and particular amount of
     * agony resistance. Agony damage is reported as a percentage of a players
     * maximum health
     */
    public static double CalculateDamagePercent(
            double scale, double agonyResistance) {
        if (scale < 20 || scale > 150) {
            return 0;
        }
        double damage = (((scale * 2.136) - 33.0) - (agonyResistance * 1.2));
        damage = (damage < 1) ? 1 : damage;
        damage = (damage > 100) ? 100 : damage;
        return damage;
    }

}