Mana Comparison

👉 This page compares the starting mana and mana growth of all character classes and races in GnollHack.

🔮 Mana by Character Class

Character Class	Starting Mana	Mana Per Level	Avg. Int	Avg. Wis	Stat Mana Bonus
Archaeologist	1d4+2 (avg. 4.5)	+1d4 (avg. 2.5)	14	14	+2.17
Barbarian	1d2-1 (avg. 0.5)	+1d3-1 (avg. 1.0)	7	8	+1.06
Caveman	1d6 (avg. 3.5)	+1d3 (avg. 2.0)	8	13	+1.44
Healer	1d3+5 (avg. 7.0)	+1d4+1 (avg. 3.5)	14	14	+2.17
Knight	1d4+1 (avg. 3.5)	+1d3 (avg. 2.0)	7	13	+1.33
Monk	1d4+3 (avg. 5.5)	+1d3+1 (avg. 3.0)	9	14	+1.61
Priest	1d3+5 (avg. 7.0)	+1d4+1 (avg. 3.5)	10	18	+1.94
Rogue	1d2+2 (avg. 3.5)	+1d3 (avg. 2.0)	10	10	+1.50
Ranger	1d2+2 (avg. 3.5)	+1d3 (avg. 2.0)	9	10	+1.39
Samurai	1d3-1 (avg. 1.0)	+1d3-1 (avg. 1.0)	10	8	+1.39
Tourist	1d4+2 (avg. 4.5)	+1d6-1 (avg. 2.5)	13	9	+1.78
Valkyrie	1d2-1 (avg. 0.5)	+1d3-1 (avg. 1.0)	9	9	+1.33
Wizard	1d3+7 (avg. 9.0)	+1d4+2 (avg. 4.5)	18	10	+2.39

🧬 Mana by Race

Race	Starting Mana	Mana Per Level	Int Modifier	Wis Modifier
Human	1d3 (avg. 2.0)	+1d3-1 (avg. 1.0)	+0	+0
Elf	1d6+4 (avg. 7.5)	+1d3 (avg. 2.0)	+2	+2
Dwarf	0 (avg. 0.0)	+0 (avg. 0.0)	-2	-2
Gnoll	1d3-1 (avg. 1.0)	+1d2-1 (avg. 0.5)	-2	-2
Orc	1d3-1 (avg. 1.0)	+1d2-1 (avg. 0.5)	-2	-2

📈 Mana Progression by Character Class

🏺 Archaeologist

Mana Per Level by Race:

Race	Human	Dwarf
Mana Per Level	+5.5	+4.5

Level	Human	Dwarf
1	14.5	11.5
2	20.0	16.0
3	26.5	20.5
4	32.0	24.0
5	37.5	28.5
6	43.0	33.0
7	48.5	37.5
8	54.0	42.0
9	60.5	46.5
10	66.0	50.0
11	71.5	54.5
12	77.0	59.0
13	82.5	63.5
14	88.0	68.0
15	94.5	72.5
16	100.0	76.0
17	105.5	80.5
18	111.0	85.0
19	116.5	89.5
20	122.0	94.0

🪓 Barbarian

Mana Per Level by Race:

Race	Human	Gnoll	Orc
Mana Per Level	+3.0	+2.5	+2.5

Level	Human	Gnoll	Orc
1	6.5	3.5	3.5
2	9.5	6.0	6.0
3	12.5	8.5	8.5
4	15.5	11.0	11.0
5	18.5	12.5	12.5
6	21.5	15.0	15.0
7	24.5	17.5	17.5
8	27.5	19.0	19.0
9	30.5	21.5	21.5
10	33.5	24.0	24.0
11	36.5	26.5	26.5
12	39.5	28.0	28.0
13	42.5	30.5	30.5
14	45.5	33.0	33.0
15	49.5	35.5	35.5
16	52.5	37.0	37.0
17	55.5	39.5	39.5
18	58.5	42.0	42.0
19	61.5	43.5	43.5
20	64.5	46.0	46.0

🦴 Caveman

Mana Per Level by Race:

Race	Human	Dwarf	Gnoll
Mana Per Level	+5.0	+3.0	+3.5

Level	Human	Dwarf	Gnoll
1	10.5	7.5	8.5
2	15.5	10.5	12.0
3	19.5	13.5	15.5
4	24.5	16.5	19.0
5	28.5	19.5	22.5
6	33.5	23.5	27.0
7	37.5	26.5	30.5
8	41.5	29.5	34.0
9	46.5	32.5	37.5
10	50.5	35.5	41.0
11	55.5	38.5	44.5
12	59.5	41.5	48.0
13	64.5	44.5	51.5
14	68.5	47.5	55.0
15	73.5	51.5	59.5
16	77.5	54.5	63.0
17	81.5	57.5	66.5
18	86.5	60.5	70.0
19	90.5	63.5	73.5
20	95.5	66.5	77.0

🧪 Healer

Mana Per Level by Race:

Race	Human	Gnoll
Mana Per Level	+6.5	+6.0

Level	Human	Gnoll
1	17.0	15.0
2	23.5	21.0
3	31.0	27.0
4	37.5	32.0
5	44.0	38.0
6	50.5	44.0
7	57.0	50.0
8	63.5	56.0
9	71.0	62.0
10	77.5	67.0
11	84.0	73.0
12	90.5	79.0
13	97.0	85.0
14	103.5	91.0
15	111.0	97.0
16	117.5	102.0
17	124.0	108.0
18	130.5	114.0
19	137.0	120.0
20	143.5	126.0

🛡️ Knight

Mana Per Level by Race:

Race	Human	Dwarf
Mana Per Level	+4.0	+3.0

Level	Human	Dwarf
1	10.5	7.5
2	14.5	10.5
3	19.5	13.5
4	23.5	16.5
5	27.5	19.5
6	32.5	22.5
7	36.5	25.5
8	40.5	28.5
9	45.5	31.5
10	49.5	34.5
11	53.5	37.5
12	58.5	40.5
13	62.5	43.5
14	66.5	46.5
15	71.5	49.5
16	75.5	52.5
17	79.5	55.5
18	84.5	58.5
19	88.5	61.5
20	92.5	64.5

🥋 Monk

Mana Per Level by Race:

Race	Human
Mana Per Level	+6.0

Level	Human
1	13.5
2	19.5
3	24.5
4	30.5
5	35.5
6	41.5
7	47.5
8	52.5
9	58.5
10	63.5
11	69.5
12	75.5
13	80.5
14	86.5
15	92.5
16	97.5
17	103.5
18	108.5
19	114.5
20	120.5

⛪ Priest

Mana Per Level by Race:

Race	Human	Elf	Gnoll
Mana Per Level	+6.5	+7.5	+6.0

Level	Human	Elf	Gnoll
1	16.0	23.5	14.0
2	22.5	31.0	20.0
3	29.0	38.5	25.0
4	35.5	46.0	31.0
5	42.0	54.5	36.0
6	48.5	62.0	42.0
7	55.0	69.5	48.0
8	61.5	78.0	53.0
9	68.0	85.5	59.0
10	74.5	93.0	64.0
11	81.0	100.5	70.0
12	87.5	109.0	76.0
13	94.0	116.5	81.0
14	100.5	124.0	87.0
15	107.0	132.5	93.0
16	112.5	140.0	98.0
17	119.0	147.5	104.0
18	125.5	155.0	109.0
19	132.0	163.5	115.0
20	138.5	171.0	121.0

🗡️ Rogue

Mana Per Level by Race:

Race	Human	Gnoll	Orc
Mana Per Level	+4.0	+3.5	+3.5

Level	Human	Gnoll	Orc
1	11.5	8.5	8.5
2	15.5	12.0	12.0
3	20.5	16.5	16.5
4	24.5	20.0	20.0
5	29.5	23.5	23.5
6	33.5	27.0	27.0
7	38.5	30.5	30.5
8	42.5	34.0	34.0
9	47.5	38.5	38.5
10	51.5	42.0	42.0
11	56.5	45.5	45.5
12	60.5	49.0	49.0
13	65.5	52.5	52.5
14	69.5	56.0	56.0
15	74.5	60.5	60.5
16	78.5	64.0	64.0
17	83.5	67.5	67.5
18	87.5	71.0	71.0
19	92.5	74.5	74.5
20	96.5	78.0	78.0

🏹 Ranger

Mana Per Level by Race:

Race	Human	Elf	Gnoll	Orc
Mana Per Level	+4.0	+6.0	+3.5	+3.5

Level	Human	Elf	Gnoll	Orc
1	10.5	17.0	8.5	8.5
2	14.5	23.0	12.0	12.0
3	19.5	29.0	15.5	15.5
4	23.5	35.0	19.0	19.0
5	28.5	40.0	22.5	22.5
6	32.5	46.0	26.0	26.0
7	36.5	52.0	29.5	29.5
8	41.5	57.0	33.0	33.0
9	45.5	63.0	36.5	36.5
10	50.5	69.0	40.0	40.0
11	54.5	75.0	43.5	43.5
12	58.5	80.0	47.0	47.0
13	63.5	86.0	50.5	50.5
14	67.5	92.0	54.0	54.0
15	72.5	98.0	58.5	58.5
16	76.5	103.0	62.0	62.0
17	80.5	109.0	65.5	65.5
18	85.5	115.0	69.0	69.0
19	89.5	120.0	72.5	72.5
20	93.5	126.0	76.0	76.0

⚔️ Samurai

Mana Per Level by Race:

Race	Human
Mana Per Level	+3.0

Level	Human
1	8.0
2	11.0
3	15.0
4	18.0
5	22.0
6	25.0
7	28.0
8	32.0
9	35.0
10	39.0
11	42.0
12	45.0
13	49.0
14	52.0
15	56.0
16	59.0
17	62.0
18	66.0
19	69.0
20	72.0

📸 Tourist

Mana Per Level by Race:

Race	Human
Mana Per Level	+4.5

Level	Human
1	13.5
2	18.0
3	23.5
4	29.0
5	34.5
6	40.0
7	44.5
8	50.0
9	55.5
10	61.0
11	65.5
12	71.0
13	76.5
14	82.0
15	87.5
16	92.0
17	97.5
18	103.0
19	108.5
20	113.0

⚡ Valkyrie

Mana Per Level by Race:

Race	Human	Dwarf
Mana Per Level	+3.0	+2.0

Level	Human	Dwarf
1	7.5	4.5
2	10.5	6.5
3	14.5	8.5
4	17.5	10.5
5	20.5	12.5
6	24.5	14.5
7	27.5	16.5
8	30.5	18.5
9	34.5	20.5
10	37.5	22.5
11	40.5	24.5
12	44.5	26.5
13	47.5	28.5
14	50.5	30.5
15	54.5	32.5
16	57.5	34.5
17	60.5	36.5
18	64.5	38.5
19	67.5	40.5
20	70.5	42.5

🪄 Wizard

Mana Per Level by Race:

Race	Human	Elf	Orc
Mana Per Level	+7.5	+9.5	+7.0

Level	Human	Elf	Orc
1	20.0	26.5	18.0
2	27.5	36.0	25.0
3	36.0	45.5	32.0
4	43.5	55.0	39.0
5	52.0	63.5	46.0
6	59.5	73.0	53.0
7	67.0	82.5	60.0
8	75.5	91.0	67.0
9	83.0	100.5	74.0
10	91.5	110.0	81.0
11	99.0	119.5	88.0
12	106.5	128.0	95.0
13	115.0	137.5	102.0
14	122.5	147.0	109.0
15	131.0	156.5	117.0
16	138.5	165.0	124.0
17	146.0	174.5	131.0
18	154.5	184.0	138.0
19	162.0	192.5	145.0
20	169.5	202.0	152.0

🧬 Mana Calculation Formulas

This section explains the formulas used by the game engine to calculate starting mana (energy) and level-up mana progression.

Starting Mana

Starting mana is determined when the character is created. It consists of fixed and random components determined by class and race, plus the stat mana bonus at level 1.

$\text{Starting Mana} = \text{Class Initial Mana} + \text{Race Initial Mana} + \text{Class Starting Random} + \text{Race Starting Random} + \text{Stat Mana Bonus}(1)$

Where:

• $\text{Class Initial Mana}$ is the starting infix field in the class's energy advancement configuration.
• $\text{Race Initial Mana}$ is the starting infix field in the race's energy advancement configuration.
• $\text{Class Starting Random}$ is rolled if inrnd is greater than 0: $\text{rn2}(\text{Class Starting Random Range} + 1)$.
• $\text{Race Starting Random}$ is rolled if inrnd is greater than 0: $\text{rn2}(\text{Race Starting Random Range} + 1)$.
• $\text{Stat Mana Bonus}(1)$ is the Intelligence and Wisdom mana bonus at level 1.

Intelligence and Wisdom Mana Bonus

The Intelligence and Wisdom mana bonus is applied at every experience level (including level 1) and is calculated using the following formula:

$\text{Stat Mana Bonus}(L) = \lfloor \frac{\max\left(0.0, \frac{2 \times \text{Int} + \text{Wis}}{3.0} - 1.0\right) \times (L + 3)}{6.0} \rfloor$

Where:

• $\text{Int}$ is the active Intelligence score of the character.
• $\text{Wis}$ is the active Wisdom score of the character.
• $\text{L}$ is the experience level of the character.

Mana Gained Per Level

Each time the character gains a level (from level 2 to level 50), they receive an increase in mana:

$\text{Mana Gain} = \text{Class lofix} + \text{Race lofix} + \text{rn2}(\text{Class lornd} + \text{Race lornd} + 1)$

Where:

• $\text{Class lofix}$ and $\text{Race lofix}$ are the fixed minimum increases for the class and race, respectively.
• $\text{Class lornd}$ and $\text{Race lornd}$ are the random range parameters for the class and race.
• $\text{rn2}(M)$ generates a random integer in the range $[0, M - 1]$ with uniform probability.
• The average base gain per level is: $\text{Gain}_{\text{avg}} = \text{Class lofix} + \text{Race lofix} + \frac{\text{Class lornd} + \text{Race lornd}}{2.0}$

Total Expected Mana at Level L

At experience level $L$ (where $1 \le L \le 20$), the expected maximum mana is:

$\text{Expected Mana}(L) = \text{Starting Mana}{\text{avg}} + (L - 1) \times \text{Gain}{\text{avg}} + \text{Stat Mana Bonus}(L)$

Where:

• $\text{Starting Mana}_{\text{avg}}$ is the average starting mana of the class and race: $\text{Class Initial Mana} + \text{Race Initial Mana} + \frac{\text{Class Starting Random Range} + \text{Race Starting Random Range}}{2.0}$
• $\text{Gain}_{\text{avg}}$ is the average mana gained per level.
• $\text{Stat Mana Bonus}(L)$ is computed using the average Intelligence and Wisdom scores for the class and race (subject to the race's attribute caps).