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Offline Phlashlite

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Putting it together, Rolling Clouds
« on: February 27, 2022, 04:03:16 am »
Demo of some Simplex noise generated clouds on a rolling sky.  Put together with lots of other developers' code

@bplus , It has some issues... but it is starting to come together.

~Phlashlite

Code: QB64: [Select]
  1.  
  2. _TITLE "Rolling Clouds 1.0"
  3. ' Ported to QB64 by: Phlashlite, February 20, 2022
  4. '
  5. '          Resource: Simplex noise demystified
  6. '            Author: Stefan Gustavson, Link”ping University, Sweden (stegu@itn.liu.se), 2005-03-22
  7. '               URL: https://weber.itn.liu.se/~stegu/simplexnoise/simplexnoise.pdf
  8. '
  9. '          Resource: Working with Simplex Noise
  10. '            Author: Christian Maher
  11. '               URL: https://cmaher.github.io/posts/working-with-simplex-noise/
  12. '
  13. '          Resource: FLRMAP - simple floormapper with diagram and explanation.
  14. '         Developer: Toshi Horie March 2001
  15. '          Based on: Floormapper Ecliptorial and Qasir's constant-z optimization explanation.
  16. '
  17. '
  18. ' Simplex noise is a method for constructing an n-dimensional noise function comparable to
  19. ' Perlin noise ("classic" noise) but with fewer directional artifacts and, in higher dimensions, a lower computational overhead. Ken Perlin designed the algorithm in 2001[1] to address the limitations of his classic noise function, especially in higher dimensions.
  20. ' The advantages of simplex noise over Perlin noise:
  21. '
  22. ' - Simplex noise has a lower computational complexity and requires fewer multiplications.
  23. ' - Simplex noise scales to higher dimensions (4D, 5D and up) with much less computational
  24. '   cost, the complexity is for dimensions instead of the of classic Noise.
  25. ' - Simplex noise has no noticeable directional artifacts.
  26. ' - Simplex noise has a well-defined and continuous gradient everywhere that can be computed
  27. '   quite cheaply.
  28. ' - Simplex noise is easy to implement in hardware
  29. '
  30. ' ~Wikipedia
  31. ' https://en.wikipedia.org/wiki/Simplex_noise#:~:text=Simplex%20noise%20is%20a%20method,dimensions%2C%20a%20lower%20computational%20overhead.
  32.  
  33.  
  34. DEFDBL A-Z
  35.  
  36. '==============================================================================
  37.  
  38. g3: 'gradient
  39. DATA 1,1,0
  40. DATA -1,1,0
  41. DATA 1,-1,0
  42. DATA -1,-1,0
  43. DATA 1,0,1
  44. DATA -1,0,1
  45. DATA 1,0,-1
  46. DATA -1,0,-1
  47. DATA 0,1,1
  48. DATA 0,-1,1
  49. DATA 0,1,-1
  50. DATA 0,-1,-1
  51.  
  52. TYPE TriBit 'data structure to hold gradient data
  53.     x AS INTEGER
  54.     y AS INTEGER
  55.     z AS INTEGER
  57. DIM SHARED grad3(12) AS TriBit
  58.  
  60. FOR g& = 0 TO 11
  61.     READ grad3(g&).x
  62.     READ grad3(g&).y
  63.     READ grad3(g&).z
  64. NEXT g&
  65.  
  66. '______________________________________________________________________________
  67.  
  68. p: 'permutation table
  69. DATA 151,160,137,091,090,015,131,013,201,095,096,053,194,233,007,225,140,036,103,030
  70. DATA 069,142,008,099,037,240,021,010,023,190,006,148,247,120,234,075,000,026,197,062
  71. DATA 094,252,219,203,117,035,011,032,057,177,033,088,237,149,056,087,174,020,125,136
  72. DATA 171,168,068,175,074,165,071,134,139,048,027,166,077,146,158,231,083,111,229,122
  73. DATA 060,211,133,230,220,105,092,041,055,046,245,040,244,102,143,054,065,025,063,161
  74. DATA 001,216,080,073,209,076,132,187,208,089,018,169,200,196,135,130,116,188,159,086
  75. DATA 164,100,109,198,173,186,003,064,052,217,226,250,124,123,005,202,038,147,118,126
  76. DATA 255,082,085,212,207,206,059,227,047,016,058,017,182,189,028,042,223,183,170,213
  77. DATA 119,248,152,002,044,154,163,070,221,153,101,155,167,043,172,009,129,022,039,253
  78. DATA 019,098,108,110,079,113,224,232,178,185,112,104,218,246,097,228,251,034,242,193
  79. DATA 238,210,144,012,191,179,162,241,081,051,145,235,249,014,239,107,049,192,214,031
  80. DATA 181,199,106,157,184,084,204,176,115,121,050,045,127,004,150,254,138,236,205,093
  81. DATA 222,114,067,029,024,072,243,141,128,195,078,066,215,061,156,180
  82. DATA 151,160,137,091,090,015,131,013,201,095,096,053,194,233,007,225,140,036,103,030
  83. DATA 069,142,008,099,037,240,021,010,023,190,006,148,247,120,234,075,000,026,197,062
  84. DATA 094,252,219,203,117,035,011,032,057,177,033,088,237,149,056,087,174,020,125,136
  85. DATA 171,168,068,175,074,165,071,134,139,048,027,166,077,146,158,231,083,111,229,122
  86. DATA 060,211,133,230,220,105,092,041,055,046,245,040,244,102,143,054,065,025,063,161
  87. DATA 001,216,080,073,209,076,132,187,208,089,018,169,200,196,135,130,116,188,159,086
  88. DATA 164,100,109,198,173,186,003,064,052,217,226,250,124,123,005,202,038,147,118,126
  89. DATA 255,082,085,212,207,206,059,227,047,016,058,017,182,189,028,042,223,183,170,213
  90. DATA 119,248,152,002,044,154,163,070,221,153,101,155,167,043,172,009,129,022,039,253
  91. DATA 019,098,108,110,079,113,224,232,178,185,112,104,218,246,097,228,251,034,242,193
  92. DATA 238,210,144,012,191,179,162,241,081,051,145,235,249,014,239,107,049,192,214,031
  93. DATA 181,199,106,157,184,084,204,176,115,121,050,045,127,004,150,254,138,236,205,093
  94. DATA 222,114,067,029,024,072,243,141,128,195,078,066,215,061,156,180
  95.  
  96. 'To remove the need for index wrapping, double the permutation table length
  98. DIM SHARED perm(512) AS INTEGER
  99.  
  101. FOR i& = 0 TO 511
  102.     READ p(i&)
  103.     perm(i&) = p(i&) AND 255
  105.  
  106. '==============================================================================
  107.  
  108. CONST WDTH = 800
  109. CONST HGHT = 600
  110. CONST COLORMODE = 32
  111.  
  112. 'From: FLRMAP__________________________________________________________________
  113. CONST H = 5 '       Height of PoV @ the plane of the "Y" axis
  114. CONST DPTH = WDTH ' Depth of the "Z" axis
  115. CONST HLV = -500 '  Horizontal Line between sky and GP
  116. CONST GP = -10 '    Ground Plane
  117.  
  118. '2D simplex noise. From: "Simplex noise demystified"___________________________
  119. CONST F2 = .5 * (SQR(3) - 1)
  120. CONST G2 = (3 - SQR(3)) / 6
  121. CONST G2x2 = G2 * 2
  122.  
  123. 'Settings for noise and brownian motion. From: "Working with Simplex Noise"____
  124. CONST SCALE = .02 '       Noise SCALE
  125. CONST ITERATIONS = 5 '    Affects the noise layers (octaves)
  126. CONST PERSISTENCE = 0.5 ' Amount each octave contributes to the noise structure
  127. CONST LOW = 0 '           Low end of point luminance
  128. CONST HIGH = 196 '        High end of luminance
  129. CONST SPEED = .20 '       Cloud (scroll) speed
  130.  
  131. DIM lut(HLV TO GP)
  132. DIM HF(HLV TO GP)
  133. DIM D(HLV TO GP)
  134. DIM Texture&(WDTH, HGHT)
  135.  
  136. HFV! = -(WDTH * .5)
  137. FOR y& = HLV TO GP
  138.     lut(y&) = H / (H - y&)
  139.     HF(y&) = HFV * lut(y&)
  140.     D(y&) = DPTH * lut(y&)
  142. HL = 500
  143.  
  144. '==============================================================================
  145. SCREEN _NEWIMAGE(WDTH, HGHT, COLORMODE)
  146.  
  148.     vofs = vofs + SPEED
  149.     FOR y& = HLV TO GP
  150.  
  151.         v = vofs + D(y&)
  152.         u = HF(y&)
  153.         du = lut(y&)
  154.  
  155.         FOR x& = 0 TO WDTH - 1
  156.  
  157.             'Load the texture array with noise
  158.             Texture&(u, v) = map(sumOcatave(ITERATIONS, u, v + HL, PERSISTENCE, SCALE), -1, 1, LOW, HIGH)
  159.  
  160.             'Grayscale pallette
  161.             c& = _RGB(Texture&(u, v), Texture&(u, v), Texture&(u, v))
  162.  
  163.             'Draw the screen
  164.             PSET (x&, y& + HL), c&
  165.  
  166.             u = u + du
  167.         NEXT
  168.     NEXT
  169.     _DISPLAY
  170.     _LIMIT 30
  172. '==============================================================================
  173.  
  174.  
  175. FUNCTION noise2D (xin, yin) 'From: Simplex noise demystified___________________
  176.  
  177.     '' Skew the input space to determine which simplex cell we're in
  178.     s = (xin + yin) * F2
  179.     i& = INT(xin + s)
  180.     j& = INT(yin + s)
  181.  
  182.     t = (i& + j&) * G2
  183.  
  184.     ' Unskew the cell origin back to (x,y) space
  185.     BX0 = i& - t
  186.     BY0 = j& - t
  187.  
  188.     ' The x,y distances from the cell origin
  189.     x0 = xin - BX0
  190.     y0 = yin - BY0
  191.  
  192.  
  193.     ' For the 2D case, the simplex shape is an equilateral triangle
  194.     ' Determine which simplex we are in.
  195.     ' Offsets for second (middle) corner of simplex in (i,j) coords
  196.     IF x0 > y0 THEN
  197.         i1& = 1: j1& = 0
  198.     ELSE
  199.         i1& = 0: j1& = 1
  200.     END IF
  201.  
  202.  
  203.     ' A step of (1,0) in (i,j) means a step of (1-c,-c) in (x,y), and
  204.     ' a step of (0,1) in (i,j) means a step of (-c,1-c) in (x,y), where
  205.     ' c = (3-sqrt(3))/6 which is G2
  206.     x1 = x0 - i1& + G2
  207.     y1 = y0 - j1& + G2
  208.  
  209.     ' Offsets for last corner in (x,y) unskewed coords
  210.     x2 = x0 - 1 + G2x2
  211.     y2 = y0 - 1 + G2x2
  212.  
  213.     ' Work out the hashed gradient indices of the three simplex corners
  214.     ii& = i& AND 255
  215.     jj& = j& AND 255
  216.     gi0& = perm(ii& + perm(jj&)) MOD 12
  217.     gi1& = perm(ii& + i1& + perm(jj& + j1&)) MOD 12
  218.     gi2& = perm(ii& + 1 + perm(jj& + 1)) MOD 12
  219.  
  220.  
  221.     ' Calculate the contribution from the three corners
  222.  
  223.     ' First corner
  224.     t0 = .5 - x0 * x0 - y0 * y0
  225.     IF t0 < 0 THEN
  226.         n0 = 0
  227.     ELSE
  228.         t0 = t0 * t0
  229.         n0 = t0 * t0 * DotP2(gi0&, x0, y0)
  230.     END IF
  231.  
  232.     ' Second corner
  233.     t1 = .5 - x1 * x1 - y1 * y1
  234.     IF t1 < 0 THEN
  235.         n1 = 0
  236.     ELSE
  237.         t1 = t1 * t1
  238.         n1 = t1 * t1 * DotP2(gi1&, x1, y1)
  239.     END IF
  240.  
  241.     ' Third corner
  242.     t2 = .5 - x2 * x2 - y2 * y2
  243.     IF t2 < 0 THEN
  244.         n2 = 0
  245.     ELSE
  246.         t2 = t2 * t2
  247.         n2 = t2 * t2 * DotP2(gi2&, x2, y2)
  248.     END IF
  249.  
  250.  
  251.     ' Add contributions from each corner to get the final noise value.
  252.     ' The result is scaled to return values in the interval [-1,1].
  253.     noise2D = 70 * (n0 + n1 + n2)
  254.  
  256.  
  257. ' From: "Working with Simplex Noise"___________________________________________
  258. FUNCTION sumOcatave (iterations, x&, y&, persistence, scale)
  259.  
  260.     DIM maxAmp
  261.     DIM amp
  262.     DIM freq
  263.     DIM noise
  264.  
  265.     noise = 0
  266.     maxAmp = 0
  267.     amp = 1
  268.     freq = scale
  269.  
  270.     ' Add successively smaller, higher-frequency terms
  271.     FOR i& = 0 TO iterations
  272.         noise = (noise2D(x& * freq, y& * freq) * amp) + noise
  273.         maxAmp = maxAmp + amp
  274.         amp = amp * persistence
  275.         freq = freq * 2
  276.     NEXT
  277.  
  278.     sumOcatave = noise
  280.  
  281. '2D DotProduct. From: Simplex noise demystified________________________________
  282. FUNCTION DotP2 (g&, x, y)
  283.     DotP2 = grad3(g&).x * x + grad3(g&).y * y
  285.  
  286. ' Map function I found or translated from somewhere.___________________________
  287. ' The Coding Train" guy on youtube, where I translated the rain code from
  288. ' explained it in one of his videos.
  289. FUNCTION map (value, minRange, maxRange, newMinRange, newMaxRange)
  290.     map = ((value - minRange) / (maxRange - minRange)) * (newMaxRange - newMinRange) + newMinRange
  292.  
  293.  
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Offline bplus

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Re: Putting it together, Rolling Clouds
« Reply #1 on: February 27, 2022, 12:02:50 pm »
I like that angle of perspective you are going with.

I wonder if you could do pixels at front end and multi pixels groups towards back to avoid blocks of one shade tiles eg use 1 pixel to represent groups, larger and larger going towards horizon line. Just a thought, probably too much more calcs.
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Offline Phlashlite

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Re: Putting it together, Rolling Clouds
« Reply #2 on: February 27, 2022, 02:11:08 pm »
Quote from: bplus on February 27, 2022, 12:02:50 pm
I wonder if you could do pixels at front end and multi pixels groups towards back to avoid blocks of one shade tiles eg use 1 pixel to represent groups, larger and larger going towards horizon line. Just a thought, probably too much more calcs.

I had to look really hard at Toshi's code to figure out roughly how it worked.  I think it works exactly opposite of what you are proposing. LOL... but try changing the "H" CONST to 20.

Anyway, it's still a work in progress. :)
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Offline johnno56

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Re: Putting it together, Rolling Clouds
« Reply #3 on: February 27, 2022, 02:52:16 pm »
Cool... Graveyard and some creepy music... hey...  Nicely done!
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Marked as best answer by Phlashlite on February 28, 2022, 04:18:03 am

Offline Phlashlite

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Re: Putting it together, Rolling Clouds
« Reply #4 on: February 28, 2022, 01:02:56 am »
Quote from: johnno56 on February 27, 2022, 02:52:16 pm
Cool... Graveyard and some creepy music... hey...  Nicely done!

Thanks!... I'm still working on it though.  I have the speed turned up in order to see the cloud progression.  If you turn it down to something approching realistic, you can afford to turn up the iteration setting and get some really detailed clouds.  This thing has so many knobs to turn, that I could mess with it all night!... I haven't even got to adding the alpha channel and colors, or the 3rd noise dimension.

@bplus Here is the latest iteration.  I think its better. :)

Code: QB64: [Select]
  1. _TITLE "Rolling Clouds 1.0"
  2.  
  3. ' Ported to QB64 by: Phlashlite, February 20, 2022
  4. '
  5. '          Resource: Simplex noise demystified
  6. '            Author: Stefan Gustavson, Link”ping University, Sweden (stegu@itn.liu.se), 2005-03-22
  7. '               URL: https://weber.itn.liu.se/~stegu/simplexnoise/simplexnoise.pdf
  8. '
  9. '          Resource: Working with Simplex Noise
  10. '            Author: Christian Maher
  11. '               URL: https://cmaher.github.io/posts/working-with-simplex-noise/
  12. '
  13. '          Resource: FLRMAP - simple floormapper with diagram and explanation.
  14. '         Developer: Toshi Horie March 2001
  15. '          Based on: Floormapper Ecliptorial and Qasir's constant-z optimization explanation.
  16. '
  17. '
  18. ' Simplex noise is a method for constructing an n-dimensional noise function comparable to
  19. ' Perlin noise ("classic" noise) but with fewer directional artifacts and, in higher dimensions, a lower computational overhead. Ken Perlin designed the algorithm in 2001[1] to address the limitations of his classic noise function, especially in higher dimensions.
  20. ' The advantages of simplex noise over Perlin noise:
  21. '
  22. ' - Simplex noise has a lower computational complexity and requires fewer multiplications.
  23. ' - Simplex noise scales to higher dimensions (4D, 5D and up) with much less computational
  24. '   cost, the complexity is for dimensions instead of the of classic Noise.
  25. ' - Simplex noise has no noticeable directional artifacts.
  26. ' - Simplex noise has a well-defined and continuous gradient everywhere that can be computed
  27. '   quite cheaply.
  28. ' - Simplex noise is easy to implement in hardware
  29. '
  30. ' ~Wikipedia
  31. ' https://en.wikipedia.org/wiki/Simplex_noise#:~:text=Simplex%20noise%20is%20a%20method,dimensions%2C%20a%20lower%20computational%20overhead.
  32.  
  33.  
  34. DEFDBL A-Z
  35.  
  36. '==============================================================================
  37.  
  38. g3: 'gradient
  39. DATA 1,1,0
  40. DATA -1,1,0
  41. DATA 1,-1,0
  42. DATA -1,-1,0
  43. DATA 1,0,1
  44. DATA -1,0,1
  45. DATA 1,0,-1
  46. DATA -1,0,-1
  47. DATA 0,1,1
  48. DATA 0,-1,1
  49. DATA 0,1,-1
  50. DATA 0,-1,-1
  51.  
  52. TYPE TriBit 'data structure to hold gradient data
  53.     x AS INTEGER
  54.     y AS INTEGER
  55.     z AS INTEGER
  57. DIM SHARED grad3(12) AS TriBit
  58.  
  60. FOR g& = 0 TO 11
  61.     READ grad3(g&).x
  62.     READ grad3(g&).y
  63.     READ grad3(g&).z
  64. NEXT g&
  65.  
  66. '______________________________________________________________________________
  67.  
  68. p: 'permutation table
  69. DATA 151,160,137,091,090,015,131,013,201,095,096,053,194,233,007,225,140,036,103,030
  70. DATA 069,142,008,099,037,240,021,010,023,190,006,148,247,120,234,075,000,026,197,062
  71. DATA 094,252,219,203,117,035,011,032,057,177,033,088,237,149,056,087,174,020,125,136
  72. DATA 171,168,068,175,074,165,071,134,139,048,027,166,077,146,158,231,083,111,229,122
  73. DATA 060,211,133,230,220,105,092,041,055,046,245,040,244,102,143,054,065,025,063,161
  74. DATA 001,216,080,073,209,076,132,187,208,089,018,169,200,196,135,130,116,188,159,086
  75. DATA 164,100,109,198,173,186,003,064,052,217,226,250,124,123,005,202,038,147,118,126
  76. DATA 255,082,085,212,207,206,059,227,047,016,058,017,182,189,028,042,223,183,170,213
  77. DATA 119,248,152,002,044,154,163,070,221,153,101,155,167,043,172,009,129,022,039,253
  78. DATA 019,098,108,110,079,113,224,232,178,185,112,104,218,246,097,228,251,034,242,193
  79. DATA 238,210,144,012,191,179,162,241,081,051,145,235,249,014,239,107,049,192,214,031
  80. DATA 181,199,106,157,184,084,204,176,115,121,050,045,127,004,150,254,138,236,205,093
  81. DATA 222,114,067,029,024,072,243,141,128,195,078,066,215,061,156,180
  82. DATA 151,160,137,091,090,015,131,013,201,095,096,053,194,233,007,225,140,036,103,030
  83. DATA 069,142,008,099,037,240,021,010,023,190,006,148,247,120,234,075,000,026,197,062
  84. DATA 094,252,219,203,117,035,011,032,057,177,033,088,237,149,056,087,174,020,125,136
  85. DATA 171,168,068,175,074,165,071,134,139,048,027,166,077,146,158,231,083,111,229,122
  86. DATA 060,211,133,230,220,105,092,041,055,046,245,040,244,102,143,054,065,025,063,161
  87. DATA 001,216,080,073,209,076,132,187,208,089,018,169,200,196,135,130,116,188,159,086
  88. DATA 164,100,109,198,173,186,003,064,052,217,226,250,124,123,005,202,038,147,118,126
  89. DATA 255,082,085,212,207,206,059,227,047,016,058,017,182,189,028,042,223,183,170,213
  90. DATA 119,248,152,002,044,154,163,070,221,153,101,155,167,043,172,009,129,022,039,253
  91. DATA 019,098,108,110,079,113,224,232,178,185,112,104,218,246,097,228,251,034,242,193
  92. DATA 238,210,144,012,191,179,162,241,081,051,145,235,249,014,239,107,049,192,214,031
  93. DATA 181,199,106,157,184,084,204,176,115,121,050,045,127,004,150,254,138,236,205,093
  94. DATA 222,114,067,029,024,072,243,141,128,195,078,066,215,061,156,180
  95.  
  96. 'To remove the need for index wrapping, double the permutation table length
  98. DIM SHARED perm(512) AS INTEGER
  99.  
  101. FOR i& = 0 TO 511
  102.     READ p(i&)
  103.     perm(i&) = p(i&) AND 255
  105.  
  106. '==============================================================================
  107.  
  108. CONST WDTH = 800
  109. CONST HGHT = 600
  110. CONST COLORMODE = 32
  111.  
  112. '2D simplex noise. From: "Simplex noise demystified"___________________________
  113. CONST F2 = .5 * (SQR(3) - 1)
  114. CONST G2 = (3 - SQR(3)) / 6
  115. CONST G2x2 = G2 * 2
  116.  
  117. 'Settings for noise and brownian motion. From: "Working with Simplex Noise"____
  118. CONST SCALE = .009 '       Noise SCALE
  119. CONST ITERATIONS = 7 '     Affects the noise layers (octaves)
  120. CONST PERSISTENCE = 0.5 '  Amount each octave contributes to the noise structure
  121. CONST LOW = 25 '           Low end of point luminance
  122. CONST HIGH = 167 '         High end of luminance
  123. CONST SPEED = 1 '        Cloud (scroll) speed
  124.  
  125. 'From: FLRMAP__________________________________________________________________
  126. CONST H = 6 '              Height of PoV @ the plane of the "Y" axis
  127. CONST DPTH = .618 * HGHT ' Depth of the "Z" axis
  128. CONST HLV = -499 '         Horizontal Line between sky and GP
  129. CONST GP = 0 '             Ground Plane
  130.  
  131. DIM lut(HLV TO GP)
  132. DIM HF(HLV TO GP)
  133. DIM D(HLV TO GP)
  134. DIM Texture&(WDTH, HGHT)
  135.  
  136. HFV = -(WDTH * .7)
  137. FOR y& = HLV TO GP
  138.     lut(y&) = H / (H - y&)
  139.     HF(y&) = HFV * lut(y&)
  140.     D(y&) = DPTH * lut(y&)
  142. HL = 450
  143. vofs = 250
  144. '==============================================================================
  145. SCREEN _NEWIMAGE(WDTH, HGHT, COLORMODE)
  146.  
  148.     vofs = vofs + SPEED
  149.     FOR y& = HLV TO GP
  150.  
  151.         v = vofs + D(y&)
  152.         u = HF(y&)
  153.         du = lut(y&)
  154.  
  155.         FOR x& = 0 TO WDTH - 1
  156.  
  157.             'Load the texture array with noise
  158.             gs& = INT(map(sumOcatave(ITERATIONS, u, v + HL, PERSISTENCE, SCALE), -1, 1, LOW, HIGH))
  159.  
  160.             'Grayscale pallette
  161.             c& = _RGB(gs&, gs&, gs&)
  162.  
  163.             'Draw the screen
  164.             PSET (x&, y& + HL), c&
  165.  
  166.             u = u + du
  167.         NEXT
  168.     NEXT
  169.     _DISPLAY
  170.     '_LIMIT 30
  172. '==============================================================================
  173.  
  174.  
  175. FUNCTION noise2D (xin, yin) 'From: Simplex noise demystified___________________
  176.  
  177.     '' Skew the input space to determine which simplex cell we're in
  178.     s = (xin + yin) * F2
  179.     i& = INT(xin + s)
  180.     j& = INT(yin + s)
  181.  
  182.     t = (i& + j&) * G2
  183.  
  184.     ' Unskew the cell origin back to (x,y) space
  185.     BX0 = i& - t
  186.     BY0 = j& - t
  187.  
  188.     ' The x,y distances from the cell origin
  189.     x0 = xin - BX0
  190.     y0 = yin - BY0
  191.  
  192.  
  193.     ' For the 2D case, the simplex shape is an equilateral triangle
  194.     ' Determine which simplex we are in.
  195.     ' Offsets for second (middle) corner of simplex in (i,j) coords
  196.     IF x0 > y0 THEN
  197.         i1& = 1: j1& = 0
  198.     ELSE
  199.         i1& = 0: j1& = 1
  200.     END IF
  201.  
  202.  
  203.     ' A step of (1,0) in (i,j) means a step of (1-c,-c) in (x,y), and
  204.     ' a step of (0,1) in (i,j) means a step of (-c,1-c) in (x,y), where
  205.     ' c = (3-sqrt(3))/6 which is G2
  206.     x1 = x0 - i1& + G2
  207.     y1 = y0 - j1& + G2
  208.  
  209.     ' Offsets for last corner in (x,y) unskewed coords
  210.     x2 = x0 - 1 + G2x2
  211.     y2 = y0 - 1 + G2x2
  212.  
  213.     ' Work out the hashed gradient indices of the three simplex corners
  214.     ii& = i& AND 255
  215.     jj& = j& AND 255
  216.     gi0& = perm(ii& + perm(jj&)) MOD 12
  217.     gi1& = perm(ii& + i1& + perm(jj& + j1&)) MOD 12
  218.     gi2& = perm(ii& + 1 + perm(jj& + 1)) MOD 12
  219.  
  220.  
  221.     ' Calculate the contribution from the three corners
  222.  
  223.     ' First corner
  224.     t0 = .5 - x0 * x0 - y0 * y0
  225.     IF t0 < 0 THEN
  226.         n0 = 0
  227.     ELSE
  228.         t0 = t0 * t0
  229.         n0 = t0 * t0 * DotP2(gi0&, x0, y0)
  230.     END IF
  231.  
  232.     ' Second corner
  233.     t1 = .5 - x1 * x1 - y1 * y1
  234.     IF t1 < 0 THEN
  235.         n1 = 0
  236.     ELSE
  237.         t1 = t1 * t1
  238.         n1 = t1 * t1 * DotP2(gi1&, x1, y1)
  239.     END IF
  240.  
  241.     ' Third corner
  242.     t2 = .5 - x2 * x2 - y2 * y2
  243.     IF t2 < 0 THEN
  244.         n2 = 0
  245.     ELSE
  246.         t2 = t2 * t2
  247.         n2 = t2 * t2 * DotP2(gi2&, x2, y2)
  248.     END IF
  249.  
  250.  
  251.     ' Add contributions from each corner to get the final noise value.
  252.     ' The result is scaled to return values in the interval [-1,1].
  253.     noise2D = 70 * (n0 + n1 + n2)
  254.  
  256.  
  257. ' From: "Working with Simplex Noise"___________________________________________
  258. FUNCTION sumOcatave (iterations, x, y, persistence, scale)
  259.  
  260.     DIM maxAmp
  261.     DIM amp
  262.     DIM freq
  263.     DIM noise
  264.  
  265.     noise = 0
  266.     maxAmp = 0
  267.     amp = 1.1
  268.     freq = scale
  269.  
  270.     ' Add successively smaller, higher-frequency terms
  271.     FOR i& = 0 TO iterations
  272.         noise = (noise2D(x * freq, y * freq) * amp) + noise
  273.         maxAmp = maxAmp + amp
  274.         amp = amp * persistence
  275.         freq = freq * 2
  276.     NEXT
  277.  
  278.     sumOcatave = noise
  280.  
  281. '2D DotProduct. From: Simplex noise demystified________________________________
  282. FUNCTION DotP2 (g&, x, y)
  283.     DotP2 = grad3(g&).x * x + grad3(g&).y * y
  285.  
  286. ' Map function I found or translated from somewhere.___________________________
  287. ' The Coding Train" guy on youtube, where I translated the rain code from
  288. ' explained it in one of his videos.
  289. FUNCTION map (value, minRange, maxRange, newMinRange, newMaxRange)
  290.     map = ((value - minRange) / (maxRange - minRange)) * (newMaxRange - newMinRange) + newMinRange
  292.  
  293.  
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Offline bplus

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Re: Putting it together, Rolling Clouds
« Reply #5 on: February 28, 2022, 09:35:14 am »
Yes sir, coming along nicely.
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