Super Mario Bros./Notes

The following article is a Notes Page for Super Mario Bros..

Player physics/movement algorithm

• Signed vertical velocity in whole pixels at 0x009F
• Unsigned(?) vertical velocity in fractions of a pixel at 0x0433
• Gravity varies, see RAM map for 0x0709/070A

• Basic integration of vertical velocity (when player not grounded)
  • The gravity (see above) is added to 0x0433 with ADC.
  • If the carry flag is set (addition into 0x0433 overflowed), a whole pixel (0x01) is added to 0x009F.
  • Note: 0x009F is clamped to a maximum positive value of 0x05, but 0x0433 is NOT cleared. This could lead to various round-off errors leading into the next jump (unconfirmed).

• Jumps
  • An instant velocity impulse is set, e.g. 0xFB, propelling the sprite upward.
  • Gravity is also modified, e.g. set to 0x30 (weaker) when going up and then to 0xA8 (stronger) when falling down.
  • These values VARY based on jump power/horizontal velocity. See RAM map for some possible values. Exact algorithm yet unknown.

Hacking the End-of-Level Castles

1) Get some graphing paper, and start cordoning 2x2 squares. Make a 5x5 block of such squares (10x10 overall).

2) Reading right-to-left, from the top row down, you've got the metatile defined by $17DF, $17E0, $17E1, etc......, $17F7.

3) This linear string of 25 bytes can be represented on your graph paper like this:

 5  4  3  2  1 
10  9  8  7  6 
15 14 13 12 11 
20 19 18 17 16 
25 24 23 22 21 

The first byte in this string codes for the upper-rightmost metatile, the second byte codes for the metatile directly to #'s left, etc.

4) The large castles at the end of every X-3 level (and the beginning of most X-1 levels) are simply the small castle stacked on top of another, slightly taller one. This taller castle is 6 metatiles high and five metatiles wide, and is coded in a similar right-to-left, top-down fashion. Its linear byte sequence begins at $17F8.

5) The little side-sections on the X-3 castle type are actually the same background image that occurs throughout World 8-3. This image is 1 metatile wide and eleven metatiles high (although it only appears to be six metatiles high since the first five bytes are assigned transparent "00" values). Its coding begins at $13CE and ends at $13D8.

Mario Palette Information

Main Palettes

There are four main palettes each with a unique set of 8 colors defined (background, pipe, cloud, brick, mario, green enemy, red enemy, brown enemy)

• Water
• Ground
• Underground
• Castle

4 alternate palettes

• Night (sets background)
• Snow (sets background, pipe color)
• Night/Snow 1 (sets background, pipe colors)
• Night/Snow 2 (uses castle palette for everything but background)

Other

• Mushroom type sets pipe color (over rides all other pipe color settings)
• Bowser has special palette

Metatile list

00 - Blank
01 - Black Metatile
02 - Bush Left
03 - Bush Middle
04 - Bush Right
05 - Mountain Left
06 - Mountain Left Bottom/Middle Center
07 - Mountain Middle Top
08 - Mountain Right
09 - Mountain Right Bottom
0A - Mountain Middle Bottom
0B - Bridge Guardrail
0C - Chain
0D - Tall Tree Top, Top Half
0E - Short Tree Top
0F - Tall Tree Top, Bottom Half
10 - Warp Pipe End Left, Points Up
11 - Warp Pipe End Right, Points Up
12 - Decoration Pipe End Left, Points Up
13 - Decoration Pipe End Right, Points Up
14 - Pipe Shaft Left
15 - Pipe Shaft Right
16 - Tree Ledge Left Edge
17 - Tree Ledge Middle
18 - Tree Ledge Right Edge
19 - Mushroom Left Edge
1A - Mushroom Middle
1B - Mushroom Right Edge
1C - Sideways Pipe End Top
1D - Sideways Pipe Shaft Top
1E - Sideways Pipe Joint Top
1F - Sideways Pipe End Bottom
20 - Sideways Pipe Shaft Bottom
21 - Sideways Pipe Joint Bottom
22 - Seaplant
23 - Blank, Used On Bricks Or Blocks That Are Hit
24 - Flagpole Ball
25 - Flagpole Shaft
26 - Blank, Used In Conjunction With Vines

40 - Vertical Rope
41 - Horizontal Rope
42 - Left Pulley
43 - Right Pulley
44 - Blank Used For Balance Rope
45 - Castle Top
46 - Castle Window Left
47 - Castle Brick Wall
48 - Castle Window Right
49 - Castle Top W/ Brick
4A - Entrance Top
4B - Entrance Bottom
4C - Green Ledge Stump
4D - Fence
4E - Tree Trunk
4F - Mushroom Stump Top
50 - Mushroom Stump Bottom
51 - Breakable Brick W/ Line
52 - Breakable Brick
53 - Breakable Brick (Not Used)
54 - Cracked Rock Terrain
55 - Brick With Line (Power-Up)
56 - Brick With Line (Vine)
57 - Brick With Line (Star)
58 - Brick With Line (Coins)
59 - Brick With Line (1-Up)
5A - Brick (Power-Up)
5B - Brick (Vine)
5C - Brick (Star)
5D - Brick (Coins)
5E - Brick (1-Up)
5F - Hidden Block (1 Coin)
60 - Hidden Block (1-Up)
61 - Solid Block (3-D Block)
62 - Solid Block (White Wall)
63 - Bridge
64 - Bullet Bill Cannon Barrel
65 - Bullet Bill Cannon Top
66 - Bullet Bill Cannon Bottom
67 - Blank Used For Jumpspring
68 - Half Brick Used For Jumpspring
69 - Solid Block (Water Level, Green Rock)
6A - Half Brick (???)
6B - Water Pipe Top
6C - Water Pipe Bottom
6D - Flag Ball (Residual Object)

80 - Cloud Left
81 - Cloud Middle
82 - Cloud Right
83 - Cloud Bottom Left
84 - Cloud Bottom Middle
85 - Cloud Bottom Right
86 - Water/Lava Top
87 - Water/Lava
88 - Cloud Level Terrain
89 - Bowser's Bridge

C0 - Question Block (Coin)
C1 - Question Block (Power-Up)
C2 - Coin
C3 - Underwater Coin
C4 - Empty Block
C5 - Axe 

Stripe Image

This data format represents title screens and other static background layouts in a lot of games published by Nintendo. SMB uses it in ROM for the title screen and other strings (see ROM map) and in RAM for the transfer buffer.

An image consists of several packets, where each packet is as follows. A 00 byte follows the last packet in an image.

0    VRAM destination address high byte (20-3F)
1    VRAM destination address low byte
2    Flags and length
     irnn nnnn
     ||++-++++- Length minus 1 (00: 1 byte; 3F: 64 bytes)
     |+-------- Run (0: 1-64 literal bytes follow; 1: 1 byte follows repeated 1-64 times)
     +--------- Increment (0: add 1 to VRAM address after each byte; 1: add 32)
3+   Data

Sound Engine

Interface

The sound engine in Super Mario Bros. is cycled every frame as a part of the vertical interrupt. The engine makes use of several variables to determine what actions should be taken every frame. Among these are a series of bit-fields used for requesting different music or sound effects. These bit-fields are set to trigger the sound engine to attempt playing the requested content on the next frame. Music bit-fields influence multi-layer music tracks, while there are also bit-fields for sound effects made by specific APU channels.

General Music - 0xFB

Bit	Music
0	Overworld
1	Underwater
2	Underground
3	Castle
4	Clouds/Bonus
5	Overworld Pipe Intro
6	Super Star
7	None

Event Music - 0xFC

Bit	Music
0	Death
1	Game Over
2	Normal Victory
3	Castle Victory
4	Alternate Game Over
5	Level Ending
6	Hurry Up
7	None

Noise SFX - 0xFD

Bit	SFX
0	Block Break
1	Flame
2	Wind (SMB2)
3	Undefined
4	Undefined
5	Undefined
6	Undefined
7	Skid (SMB2/ANN)

Pulse 2 SFX - 0xFE

Bit	SFX
0	Coin
1	Powerup Spawn
2	Vine Spawn
3	Blast
4	Tick
5	Powerup
6	One Up
7	Bowser Fall

Pulse 1 SFX - 0xFF

Bit	SFX
0	Jump (Big)
1	Bump
2	Stomp
3	Smack
4	Pipe Entry
5	Projectile
6	Pole Slide
7	Jump (Small)

Music

Music bit-fields are checked for set bits from right to left, with the first such set bit triggering that music to play, with event music taking precedence over general music. For example, if 0xFB is 0x3B and 0xFC is 0x12, then the game over music will play since 0xFC is handled before 0xFB and the right-most set bit in 0xFC is the game over bit.

Structures

Each music offset is then the offset from the start of the music table to the descriptor for that particular piece of music. This table contains 16 entries, 8 for the event music followed by 8 for the general music.

A music entry then consists of a pointer to the note length structure applicable to the track data, a pointer to the track data itself, and fields indicating where in the track data the pulse 1, triangle, noise, and, in the case of FDS, wavetable portions of the track start in the data. The pulse 2 portion is always the first, so an offset to pulse 2 is not stored.

The length structures are a series of 8 possible tone lengths, with multiple such lists provided for different timing needs. There are several groups and different tracks may use different sets of lengths. The entries correspond with timing concepts such as whole notes, half notes, quarter notes, and so on.

The notes themselves are indices into a table of timing values to supply to the timing registers of the given oscillators in the case of tonal sound and specific sound IDs in the case of the noise channel. The table of timing values is generally in chromatic order but does not include all possible notes.

Formats

The track data itself is encoded in one of two formats depending on the channel:

Pulse 2, triangle, and wave-table data are stored with one length indicator followed by multiple notes to be played at that length, then the next length indicator, and so on, until the end of that channel in the track which is indicated by a value of 0x00 in the case of the pulse 2 channel, with the triangle and wave-table channels expected to fill the same time as the pulse 2 channel. To indicate that a byte is a length indicator, its high bit is set, such that values 0x80-0x87 represent the 8 possible length values for a following series of notes. This format will be referred to as the "uncompressed" format.

Pulse 1 and the noise channel are instead stored in a compressed format in which the length of a note as well as its ID are encoded in the same byte in the format "BCNNNNNA" where "00NNNNN0" is the identity of a given note and "ABC" is the length number for that note. A value of 0x00 may also be given for specifically the noise channel to indicate the end of that channel. As of this analysis, the behavior when pulse 2 and noise disagree on track ending has not been analyzed. The end result is every note has a length included in pulse 1 and noise formats, but a length is established for a run of notes for the other channels. For instance, to request that a note of ID 0x2C be played for length 5, the resulting byte would be 0x6D. This format will be referred to as the "compressed" format.

Processing

Each frame, the uncompressed tracks are read for a single byte. If that byte is a length byte (indicated by the high bit set), the new length is saved and the next byte retrieved as a note. As for the compressed data, a byte is read every frame and decomposed into the length and note encoded therein. In either case, the length byte is then counted down each frame until it reaches zero, at which point a new read cycle happens.

Some channels will additionally check first to determine if a sound effect is already being played on a given channel. If so, that frame of the channel will be read out but not sent to the APU as to keep the tracks in sync while not interfering with sound effects.

FDS Secondary Engine

It is important to note that in the updated engine used in Super Mario Bros. 2 as well as All Night Nippon, a secondary sound engine is loaded in for the game ending sequence. This sound engine bears much similarity to the standard one, but has added provisions for handling FDS wave-table audio as well as trims out some specific checks that only applied to music being played at gameplay time. The original sound engine is still resident in memory when this secondary one is loaded in, and may even be used, so it does feature some checks to, for instance, determine if the conventional sound engine is playing a sound effect on a channel and to mute the music on that channel for that frame if possible. This also means that the memory used by the secondary sound engine, while comparable in function, is stored elsewhere. This encompasses, for instance, the pointers to the current track data and note lengths.