estimated new armor formula

[continue]

Level - Base Level < 77:

Armor = Base Armor * [ 0.001477*(Level - Base Level)^2 + 0.01966*(Level - Base Level) + 0.9534 ]

Level - Base Level > 77:

Armor = Base Armor * [ 9.8353*ln(Level - Base Level) - 31.58 ] 

OR 

Armor = Base Armor * [ 0.5429*(Level - Base Level)^0.6997 ]

Graph:

Zoomed in version for higher level:

Spoiler

Comparison of the three (3) enemies I tested against:

Spoiler

Data:

Spoiler

	Base Damage	600	No Mods					Base Damage	3525	R8 Primed Point Blank, R4 Incendiary Coat, R4 Charged Shell					Base Damage	1050	No Mods, Radiation is 1.75x Effective vs Armor
	Corrupted Butcher							Corrupted Heavy Gunner							Corrupted Bombard
	Base Level		Armor Type	Base Armor				Base Level		Armor Type	Base Armor				Base Level		Armor Type	Base Armor
	1		Ferrite	5				8		Ferrite	500				4		Alloy	500
Level – Base	Level	Damage	Reduction	Armor	Armor / Base		Level – Base	Level	Damage	Reduction	Armor	Armor / Base		Level – Base	Level	Damage	Reduction	Armor	Armor / Base
4	5	590	0.02	5.08	1.02		-3	5	1322	0.62	499.92	1.00		1	5	740	0.30	502.70	1.01
9	10	588	0.02	6.12	1.22		2	10	1309	0.63	507.87	1.02		6	10	717	0.32	557.32	1.11
14	15	586	0.02	7.17	1.43		7	15	1209	0.66	574.69	1.15		11	15	675	0.36	666.67	1.33
19	20	583	0.03	8.75	1.75		12	20	1065	0.70	692.96	1.39		16	20	624	0.41	819.23	1.64
24	25	579	0.04	10.88	2.18		17	25	916	0.74	854.48	1.71		21	25	569	0.46	1,014.41	2.03
29	30	573	0.05	14.14	2.83		22	30	779	0.78	1,057.51	2.12		26	30	515	0.51	1,246.60	2.49
34	35	570	0.05	15.79	3.16		27	35	661	0.81	1,299.85	2.60		31	35	464	0.56	1,515.52	3.03
39	40	563	0.06	19.72	3.94		32	40	564	0.84	1,575.00	3.15		36	40	417	0.60	1,821.58	3.64
44	45	557	0.07	23.16	4.63		37	45	484	0.86	1,884.92	3.77		41	45	375	0.64	2,160.00	4.32
49	50	550	0.08	27.27	5.45		42	50	418	0.88	2,229.90	4.46		46	50	338	0.68	2,527.81	5.06
54	55	544	0.09	30.88	6.18		47	55	364	0.90	2,605.22	5.21		51	55	305	0.71	2,931.15	5.86
59	60	536	0.11	35.82	7.16		52	60	319	0.91	3,015.05	6.03		56	60	276	0.74	3,365.22	6.73
64	65	528	0.12	40.91	8.18		57	65	282	0.92	3,450.00	6.90		61	65	251	0.76	3,819.92	7.64
69	70	520	0.13	46.15	9.23		62	70	250	0.93	3,930.00	7.86		66	70	228	0.78	4,326.32	8.65
74	75	510	0.15	52.94	10.59		67	75	224	0.94	4,420.98	8.84		71	75	208	0.80	4,857.69	9.72
79	80	504	0.16	57.14	11.43		72	80	200	0.94	4,987.50	9.98		76	80	186	0.82	5,574.19	11.15
84	85	500	0.17	60.00	12.00		77	85	178	0.95	5,641.01	11.28		81	85	177	0.83	5,918.64	11.84
89	90	497	0.17	62.17	12.43		82	90	169	0.95	5,957.40	11.91		86	90	171	0.84	6,168.42	12.34
94	95	493	0.18	65.11	13.02		87	95	163	0.95	6,187.73	12.38		91	95	166	0.84	6,390.36	12.78
99	100	490	0.18	67.35	13.47		92	100	157	0.96	6,435.67	12.87		96	100	161	0.85	6,626.09	13.25
104	105	486	0.19	70.37	14.07		97	105	151	0.96	6,703.31	13.41		101	105	156	0.85	6,876.92	13.75
109	110	484	0.19	71.90	14.38		102	110	146	0.96	6,943.15	13.89		106	110	152	0.86	7,089.47	14.18
114	115	481	0.20	74.22	14.84		107	115	142	0.96	7,147.18	14.29		111	115	148	0.86	7,313.51	14.63
119	120	477	0.21	77.36	15.47		112	120	138	0.96	7,363.04	14.73		116	120	144	0.86	7,550.00	15.10
124	125	475	0.21	78.95	15.79		117	125	134	0.96	7,591.79	15.18		121	125	140	0.87	7,800.00	15.60
129	130	472	0.21	81.36	16.27		122	130	130	0.96	7,834.62	15.67		126	130	137	0.87	7,997.08	15.99
134	135	470	0.22	82.98	16.60		127	135	126	0.96	8,092.86	16.19		131	135	133	0.87	8,273.68	16.55
139	140	468	0.22	84.62	16.92		132	140	123	0.97	8,297.56	16.60		136	140	130	0.88	8,492.31	16.98

Methodology:

Spoiler

Used an Arca Plasmor in Simulacrum (Paused Enemy AI, Wisp as Warframe). Arca Plasmor was chosen for its pure Radiation damage (neutral effectiveness vs Cloned Flesh and Ferrite Armor) and lack of headshots for ease of calculation and testing.

Against Heavy Gunners, Mods (Rank 8 Primed Point Blank, Rank 4 Incendiary Coat, Rank 4 Charged Shell) were used in order to raise the difference in damage values at higher level and decrease the effect of rounding errors.

Level - Base Level < 77 was chosen for a Quadratic trend line by observation. 

Level - Base Level > 77 was chosen for a both Logarithmic and Power trend lines by observation.

The intersection at a relative level of 77 was chosen because the Quadratic lower level trend line intersects with the higher level Logarithmic and Power trend lines at relative level 76 and 78, respectively.

Testing was conducted every 5 levels up to 140 because I'm jealous of your Mastery Rank.

FAQ (please read):

Spoiler

Why do you have both a logarithmic and power formula for higher level armor?

• so you can make your own decisions

Why did you choose level 77 as the boundary when DE said level 80?

• it is a mystery
• one that can only be solved by looking at the methodology

Aren't some of your decisions bad?

• all of my decisions are bad

Why did you do this? Isn't this boring?

• because nobody else would

Won't DE just give us the formula eventually?

• god i hope so

What if DE changes the scaling again?

• then i will evacuate my mortal coil

Digital E Digital E please just give us the formuoli

Edited March 9, 2020 by continue

[(PSN)robotwars7]

you're probably more likely to get your hands on the secret Krabby Patty Formula than you are the Armor scaling Formula.

thank you for taking time to do this though. I myself may be on the same mathematical level as a three-year-old, and those graphs may as well have been in Chinese for me, but I'm sure that somebody will appreciate and use this data. I'm just gonna stick to my formula of "if it dies in an appropriate number of hits for the weapon and level, then it's fine".

Edited March 10, 2020 by (PS4)robotwars7

[ManaMayhemMike]

Did some testing myself. I used a lanka with pure electric (2100 damage, 5.6x crit mult) and tested against lancers (the normal 100 armor ones) with hip-fire only bodyshots. A lot smaller sample size, but somehow works. You probably want to model it after the old scaling still: armor = base armor * (1 + a*(level - base level)^b)), except for the middle blend.

Link to graphs of armor values. I can provide the actual damage values and calculations if asked but it'd probably be faster to just test it yourself.

lvl 1-60 (table 1, y1): armor seems to still follow old scaling of armor = base armor * (1 + 0.005 * (level - base level)^1.75))

Past level 100 (table 2, y2): new formula is armor = base armor * (1 + 0.4 * (level - base level)^0.75)). testing on levels in between and past the samples gives expected damage off by 1 or 2.

60-100 (table 3): I tested every level in that range, by the looks of it, there are actually 3 versions of scaling. the high end scaling (y2), the intial scaling (y1), and a blend starting at ~lvl 71 and ending at ~lvl 81 (for lancers anyway, will have to test for other base levels). haven't modeled it yet so cant say anything about it other than it exists.

< lvl 71?: Armor = Base armor * (1 + 0.005 * (level - base level)^1.75)

> lvl 81?: Armor = Base armor * (1 + 0.4 * (level - base level)^0.75)

Tested on heavy gunners, commanders and lancers. By the looks of it, armor (and probably health and shields, but with different coefficients and breakpoints) can be approximated with this piece wise function:

Armor_1(x) = Base armor * (1 + 0.005 * x ^ 1.75)      x <= 70

Armor_3(x) = Base armor * (1 + 0.4 * x ^ 1.75)          x >= 80

Armor_2(x) = Base armor * [( Armor_3(x) - Armor_1(x) ) * ( 0.5 - 0.5 * cos( ( x-70 ) / pi ) )] + Armor_1(x)

Where x is current level - base level.

Link to graph (unorganized af)

Data

Spoiler

		Heavy gunner						Commander						Lancer
lvl		lvl - base	damage	armor	scale	armor (model)		lvl - base	damage	armor	scale	armor (model)		lvl - base	damage	armor	scale	armor (model)
1		0	4412	499.6374	0.999275	500		0	8936	94.80752	0.997974	95		0	8825	99.77337	0.997734	100
3		0	4412	499.6374	0.999275	500		0	8936	94.80752	0.997974	95		2	8802	100.818	1.00818	101.6817928
8		0	4412	499.6374	0.999275	500		5	8781	101.7766	1.071332	102.9412911		7	8506	114.766	1.14766	115.0623097
10		2	4369	507.5074	1.015015	508.4089642		7	8630	108.8065	1.145331	109.3091943		9	8345	122.7681	1.227681	123.3826859
20		12	3555	692.4051	1.38481	693.4225877		17	7640	161.7801	1.702948	162.605063		19	7263	185.7497	1.857497	186.4547394
30		22	2599	1057.445	2.11489	1058.701323		27	6465	245.7077	2.586396	246.9078429		29	6075	280.7407	2.807407	281.2034661
40		32	1882	1574.601	3.149203	1576.347412		37	5364	357.7181	3.765454	358.6614443		39	5014	403.6298	4.036298	404.3218018
50		42	1394	2230.846	4.461693	2232.31261		47	4440	494.5946	5.206259	495.7419997		49	4138	552.5858	5.525858	553.7463498
60		52	1064	3015.789	6.031579	3017.363089		57	3691	655.8385	6.903563	656.6614374		59	3434	727.3733	7.273733	728.0019969
70		62	836	3920.096	7.840191	3924.723117		67	3096	839.5349	8.837209	840.2886619		69	2881	924.5748	9.245748	925.9540996
71		63	817	4018.237	8.036475	4021.972578		68	3046	858.2403	9.034109	859.8639762		70	2831	946.2028	9.462028	947.0159224
72		64	799	4115.519	8.231039	4120.38672		69	2994	878.3567	9.24586	879.6563946		71	2777	970.4357	9.704357	971.0691887
73		65	781	4217.286	8.434571	4219.960966		70	2944	898.3696	9.456522	899.6651263		72	2715	999.4475	9.994475	999.5031215
74		66	764	4317.801	8.635602	4320.690829		71	2889	921.1838	9.696672	922.5157292		73	2654	1029.314	10.29314	1030.017535
75		67	748	4416.578	8.833155	4422.571905		72	2824	949.2918	9.992545	949.5279654		74	2595	1059.538	10.59538	1060.273864
76		68	732	4519.672	9.039344	4525.599875		73	2762	977.3353	10.28774	978.5166583		75	2545	1086.248	10.86248	1088.230553
77		69	716	4627.374	9.254749	4629.770498		74	2701	1006.183	10.5914	1007.260171		76	2502	1110.072	11.10072	1112.425066
78		70	701	4732.81	9.465621	4735.079612		75	2648	1032.326	10.86659	1033.819025		77	2467	1130.077	11.30077	1132.164966
79		71	685	4850.365	9.70073	4855.345943		76	2605	1054.319	11.09809	1056.803813		78	2439	1146.494	11.46494	1147.602839
80		72	666	4997.297	9.994595	4997.515608		77	2569	1073.297	11.29786	1075.556718		79	2419	1158.454	11.58454	1159.685454
81		73	647	5152.859	10.30572	5150.087675		78	2541	1088.43	11.45716	1090.222697		80	2403	1168.165	11.68165	1169.984488
82		74	630	5300	10.6	5301.369319		79	2519	1100.556	11.5848	1101.701181		81	2385	1179.245	11.79245	1180
83		75	615	5436.585	10.87317	5441.152766		80	2502	1110.072	11.68497	1111.485264		82	2371	1187.98	11.8798	1189.984647
84		76	603	5550.746	11.10149	5562.125332		81	2484	1120.29	11.79252	1121		83	2355	1198.089	11.98089	1199.938898
85		77	593	5649.41	11.29882	5660.824829		82	2468	1129.498	11.88945	1130.485414		84	2339	1208.337	12.08337	1209.863211
86		78	585	5730.769	11.46154	5738.014193		83	2453	1138.239	11.98146	1139.941953		85	2324	1218.072	12.18072	1219.75803
87		79	579	5793.264	11.58653	5798.427271		84	2436	1148.276	12.08711	1149.37005		86	2309	1227.934	12.27934	1229.623789
88		80	574	5846.341	11.69268	5849.92244		85	2421	1157.249	12.18157	1158.770129		87	2294	1237.925	12.37925	1239.460909
89		81	569	5900.351	11.8007	5900		86	2404	1167.554	12.29004	1168.1426		88	2279	1248.047	12.48047	1249.269802
90		82	565	5944.248	11.8885	5949.923234		87	2390	1176.151	12.38053	1177.487864		89	2264	1258.304	12.58304	1259.050867
100		92	524	6432.824	12.86565	6441.154771		97	2250	1268	13.34737	1269.525357		99	2133	1354.008	13.54008	1355.412323
110		102	489	6914.724	13.82945	6919.188434		107	2128	1357.895	14.29363	1359.216429		109	2018	1448.266	14.48266	1449.366316
120		112	459	7386.275	14.77255	7385.627313		117	2022	1444.807	15.2085	1446.832841		119	1917	1540.376	15.40376	1541.18659
130		122	434	7829.032	15.65806	7841.754679		127	1927	1530.825	16.11395	1532.59445		129	1828	1629.978	16.29978	1631.095479
140		132	411	8283.942	16.56788	8288.618719		137	1842	1615.309	17.00326	1616.682416		139	1747	1719.462	17.19462	1719.276792
150		142	391	8723.018	17.44604	8727.090107		147	1766	1697.735	17.87089	1699.248337		149	1677	1803.757	18.03757	1805.884773

 

Edited March 10, 2020 by ManaMayhemMike

[SadOverlord]

New armor formula is 1+(0.45*(current level-base level)^0.7)

[Signs]

1 hour ago, SadOverlord said:

New armor formula is 1+(0.45*(current level-base level)^0.7)

This man's so smart

Also there's a blend between levels 60-80, that is the formula for anything above level 80

Edited March 10, 2020 by Signs

[ManaMayhemMike]

On 2020-03-10 at 5:28 AM, SadOverlord said:

New armor formula is 1+(0.45*(current level-base level)^0.7)

Lancer base level: 1, base armor: 100

Lancer (lvl 151) armor by your formula: 1 + (0.45*(150)^0.7) ~ 1601.33

Expected body-shot hipfire crit with a lanka modded for 2100 electric, 5.6 crit mult with an unmodded excal, vazarin and no active sentinel = 2100 * 5.6 * 1 / (1 + 1601.33 / 300) ~ 1855.54

damage seen: 1670

armor assuming 1 + (0.4 * diff ^0.75) = ~1814.46, expected damage: 1668.5

If you have any numbers that support your formula can you post them? I hope I'm not accidentally applying buffs that are messing with the data or I just wasted 4 hours for nothing.

[GKP_light]

Level - Base Level < 77: Armor = Base Armor * [ 0.001477*(Level - Base Level)^2 + 0.01966*(Level - Base Level) + 0.9534 ]

do you think it is  appropriate to use that many numbers ?

the real formula here is :

Armor = Base Armor * [ 0.0015*(Level - Base Level)^2 + 1]

and is the same as before.

 

Level - Base Level > 77:

you shoud watch : Level - Base Level > 90
you will have a better result.
because there is a transition between the 2 that distorts your calculations

[SadOverlord]

38 minutes ago, ManaMayhemMike said:

Lancer base level: 1, base armor: 100

Lancer (lvl 151) armor by your formula: 1 + (0.45*(150)^0.7) ~ 1601.33

Expected body-shot hipfire crit with a lanka modded for 2100 electric, 5.6 crit mult with an unmodded excal, vazarin and no active sentinel = 2100 * 5.6 * 1 / (1 + 1601.33 / 300) ~ 1855.54

damage seen: 1670

armor assuming 1 + (0.4 * diff ^0.75) = ~1814.46, expected damage: 1668.5

If you have any numbers that support your formula can you post them? I hope I'm not accidentally applying buffs that are messing with the data or I just wasted 4 hours for nothing.

Haven't checked in game. This was the table that was shown during devstream. You see the Falloff power of 0.7 and the scale of 0.45. In the armor diminish part the numbers are correct with the 1+(0.45*(current level-base level)^0.7) formula. Wouldn't be surprised if they changed it around before releasing it.