ChandraQuant — Kāla-Chakra: Free TradingView Indicator (Pine Script)

Add It to Your TradingView Chart

1Copy the scriptPress Copy script above, or the copy button on the code below.
2Open the Pine EditorOpen a TradingView chart and choose Pine Editor at the bottom of the screen.
3Paste over the templateCreate a new indicator, select all of the template text and paste. Press Save and give it a name.
4Add it to the chartPress Add to chart, then adjust the settings with the gear icon next to its name.

Source Code

327 lines of Pine Script v6 from v3/pine/ChandraQuant_KalaChakra.pine, published under MIT. Keep the author's credit and licence lines when you reuse it.

ChandraQuant_KalaChakra.pine

//@version=6
// =============================================================================
//  ChandraQuant — Kāla-Chakra
//  Vedic astronomical regime overlay for Indian equity indices.
//
//  This script computes REAL astronomy on the chart. There is no lookup table for
//  the Sun and Moon: their ecliptic longitudes are evaluated from Meeus' periodic
//  series (Astronomical Algorithms, ch. 25 and 47) directly in Pine, then converted
//  to the sidereal zodiac with the Lahiri ayanamsa. Accuracy is ~0.01° for Surya
//  and ~0.02° for Chandra — two orders of magnitude finer than the 13°20' width of
//  a nakshatra — and it works on any bar, any date, past or future, forever.
//
//  Only Guru, Shani and Rahu use an embedded table (monthly nodes, 1996–2036),
//  because they move 0.08°/0.03°/0.05° per day and a series for each would be
//  hundreds of terms for no visible gain. Interpolation error stays under 0.4°.
//
//  Everything drawn here is a deterministic function of time. Nothing is fitted to
//  price, and nothing repaints.
//
//  Companion to the ChandraQuant Alpha Engine (Python). See CLAUDE.md.
// =============================================================================

indicator("ChandraQuant — Kāla-Chakra", shorttitle="ChandraQuant", overlay=true, max_labels_count=500)

// ----------------------------------------------------------------------------- inputs
grpD = "Display"
showBands    = input.bool(true,  "Regime background bands",  group=grpD)
showNakLabel = input.bool(true,  "Nakshatra change markers", group=grpD)
showSyzygy   = input.bool(true,  "Purnima / Amavasya glyphs", group=grpD)
showEclipse  = input.bool(true,  "Grahana (eclipse) shading", group=grpD)
showVishti   = input.bool(true,  "Vishti (Bhadra) karana marks", group=grpD)
showTable    = input.bool(true,  "Info table", group=grpD)
tablePos     = input.string("Top right", "Table position", options=["Top right","Top left","Bottom right","Bottom left"], group=grpD)

grpT = "Trend context"
emaFast = input.int(20,  "Fast EMA", group=grpT)
emaSlow = input.int(50,  "Slow EMA", group=grpT)
emaTrend= input.int(200, "Trend EMA", group=grpT)

// ----------------------------------------------------------------------------- constants
DEG2RAD = 0.017453292519943295
NAK_DEG = 13.333333333333334      // 360 / 27
TITHI_DEG = 12.0
KARANA_DEG = 6.0

norm360(x) =>
    float v = x % 360.0
    v < 0 ? v + 360.0 : v

sind(x) => math.sin(x * DEG2RAD)
cosd(x) => math.cos(x * DEG2RAD)

// ----------------------------------------------------------------------------- time
// Pine's `time` is the bar open in milliseconds UTC. For an NSE daily bar that is
// 03:45 UTC, i.e. the 09:15 IST opening bell — the same instant the Python engine
// evaluates. Julian Day follows directly.
julianDay() => time / 86400000.0 + 2440587.5

// ----------------------------------------------------------------------------- Lahiri ayanamsa
// Anchored at 23.250182° on JD 2435553.5 (1956-01-01), accumulating IAU-2006
// general precession in longitude. Matches Swiss Ephemeris to a few arc-seconds.
ayanamsa(T) =>
    float p  = 5028.796195 * T + 1.1054348 * T * T
    23.250182 + (p + 2201.1312) / 3600.0

// ----------------------------------------------------------------------------- Surya (Meeus ch. 25)
sunLongitude(T) =>
    float L0 = 280.46646 + 36000.76983 * T + 0.0003032 * T * T
    float M  = 357.52911 + 35999.05029 * T - 0.0001537 * T * T
    float C  = (1.914602 - 0.004817 * T - 0.000014 * T * T) * sind(M) + (0.019993 - 0.000101 * T) * sind(2.0 * M) + 0.000289 * sind(3.0 * M)
    float trueLon = L0 + C
    float omega = 125.04 - 1934.136 * T
    norm360(trueLon - 0.00569 - 0.00478 * sind(omega))

// ----------------------------------------------------------------------------- Chandra (Meeus ch. 47)
// The 27 largest periodic terms in longitude. Truncating here costs ~0.02°, which is
// invisible at nakshatra resolution but keeps the script fast on long histories.
moonLongitude(T) =>
    float Lp = 218.3164477 + 481267.88123421 * T - 0.0015786 * T * T + T * T * T / 538841.0 - T * T * T * T / 65194000.0
    float D  = 297.8501921 + 445267.1114034 * T - 0.0018819 * T * T + T * T * T / 545868.0
    float Ms = 357.5291092 + 35999.0502909 * T - 0.0001536 * T * T
    float Mp = 134.9633964 + 477198.8675055 * T + 0.0087414 * T * T + T * T * T / 69699.0
    float F  = 93.2720950 + 483202.0175233 * T - 0.0036539 * T * T - T * T * T / 3526000.0
    float E  = 1.0 - 0.002516 * T - 0.0000074 * T * T

    float s = 0.0
    s := s + 6288774.0 * sind(Mp)
    s := s + 1274027.0 * sind(2.0 * D - Mp)
    s := s +  658314.0 * sind(2.0 * D)
    s := s +  213618.0 * sind(2.0 * Mp)
    s := s -  185116.0 * sind(Ms) * E
    s := s -  114332.0 * sind(2.0 * F)
    s := s +   58793.0 * sind(2.0 * D - 2.0 * Mp)
    s := s +   57066.0 * sind(2.0 * D - Ms - Mp) * E
    s := s +   53322.0 * sind(2.0 * D + Mp)
    s := s +   45758.0 * sind(2.0 * D - Ms) * E
    s := s -   40923.0 * sind(Ms - Mp) * E
    s := s -   34720.0 * sind(D)
    s := s -   30383.0 * sind(Ms + Mp) * E
    s := s +   15327.0 * sind(2.0 * D - 2.0 * F)
    s := s -   12528.0 * sind(Mp + 2.0 * F)
    s := s +   10980.0 * sind(Mp - 2.0 * F)
    s := s +   10675.0 * sind(4.0 * D - Mp)
    s := s +   10034.0 * sind(3.0 * Mp)
    s := s +    8548.0 * sind(4.0 * D - 2.0 * Mp)
    s := s -    7888.0 * sind(2.0 * D + Ms - Mp) * E
    s := s -    6766.0 * sind(2.0 * D + Ms) * E
    s := s -    5163.0 * sind(D - Mp)
    s := s +    4987.0 * sind(D + Ms) * E
    s := s +    4036.0 * sind(2.0 * D - Ms + Mp) * E
    s := s +    3994.0 * sind(2.0 * D + 2.0 * Mp)
    s := s +    3861.0 * sind(4.0 * D)
    s := s +    3665.0 * sind(2.0 * D - 3.0 * Mp)
    norm360(Lp + s / 1000000.0)

// Chandra's ecliptic latitude — needed for eclipse geometry, since an eclipse
// requires a syzygy AND the Moon near a node.
moonLatitude(T) =>
    float D  = 297.8501921 + 445267.1114034 * T - 0.0018819 * T * T
    float Ms = 357.5291092 + 35999.0502909 * T - 0.0001536 * T * T
    float Mp = 134.9633964 + 477198.8675055 * T + 0.0087414 * T * T
    float F  = 93.2720950 + 483202.0175233 * T - 0.0036539 * T * T
    float E  = 1.0 - 0.002516 * T

    float b = 0.0
    b := b + 5128122.0 * sind(F)
    b := b +  280602.0 * sind(Mp + F)
    b := b +  277693.0 * sind(Mp - F)
    b := b +  173237.0 * sind(2.0 * D - F)
    b := b +   55413.0 * sind(2.0 * D - Mp + F)
    b := b +   46271.0 * sind(2.0 * D - Mp - F)
    b := b +   32573.0 * sind(2.0 * D + F)
    b := b +   17198.0 * sind(2.0 * Mp + F)
    b := b +    9266.0 * sind(2.0 * D + Mp - F)
    b := b +    8822.0 * sind(2.0 * Mp - F)
    b := b +    8216.0 * sind(2.0 * D - Ms - F) * E
    b := b +    4324.0 * sind(2.0 * D - 2.0 * Mp - F)
    b / 1000000.0

// ---------------------------------------------------------------------------
// Slow-graha table: sidereal longitudes at regular nodes, linearly interpolated.
// Span 1996-01-01 to 2036-01-01, 30-day nodes, 488 points per graha.
// Guru/Shani/Rahu move 0.08/0.03/0.05 deg per day, so interpolation error stays
// far below one degree - nakshatra boundaries are 13 deg 20' wide.
// Generated by chandraquant/pine/emit.py - do not hand-edit.
// ---------------------------------------------------------------------------
cq_jd0   = 2450083.50000
cq_step  = 30.0
var float[] cq_guru = array.from(245.708, 252.278, 257.959, 262.042, 263.813, 262.842, 259.632, 255.998, 254.071, 254.873, 258.247, 263.532, 270.008, 277.008, 283.915, 290.117, 294.954, 297.716, 297.797, 295.244, 291.437, 288.687, 288.583, 291.305, 296.239, 302.603, 309.682, 316.848, 323.522, 329.098, 332.898, 334.216, 332.686, 329.074, 325.563, 324.327, 326.088, 330.384, 336.392, 343.338, 350.577, 357.548, 363.695, 368.387, 370.896, 370.590, 367.619, 363.687, 361.305, 361.868, 365.235, 370.609, 377.170, 384.244, 391.274, 397.734, 403.035, 406.470, 407.289, 405.208, 401.319, 398.076, 397.443, 399.739, 404.296, 410.287, 417.012, 423.905, 430.451, 436.087, 440.128, 441.794, 440.563, 437.027, 433.329, 431.735, 433.022, 436.743, 442.111, 448.419, 455.088, 461.599, 467.396, 471.811, 474.059, 473.507, 470.415, 466.573, 464.313, 464.774, 467.759, 472.563, 478.489, 484.945, 491.401, 497.296, 501.968, 504.635, 504.617, 501.960, 498.139, 495.434, 495.247, 497.627, 501.973, 507.602, 513.915, 520.360, 526.368, 531.275, 534.310, 534.768, 532.542, 528.822, 525.791, 525.064, 526.933, 530.913, 536.338, 542.590, 549.099, 555.277, 560.464, 563.906, 564.883, 563.143, 559.592, 556.278, 555.027, 556.410, 560.066, 565.348, 571.610, 578.253, 584.675, 590.226, 594.178, 595.803, 594.695, 591.430, 587.854, 586.017, 586.839, 590.137, 595.276, 601.574, 608.391, 615.116, 621.115, 625.702, 628.150, 627.904, 625.149, 621.394, 618.865, 618.954, 621.748, 626.649, 632.925, 639.889, 646.915, 653.396, 658.693, 662.108, 662.969, 661.059, 657.367, 654.108, 653.227, 655.256, 659.705, 665.790, 672.768, 679.990, 686.875, 692.836, 697.219, 699.305, 698.561, 695.350, 691.542, 689.534, 690.492, 694.180, 699.807, 706.565, 713.777, 720.871, 727.302, 732.468, 735.660, 736.171, 733.835, 729.908, 726.882, 726.595, 729.251, 734.143, 740.426, 747.390, 754.456, 761.101, 766.763, 770.764, 772.338, 770.994, 767.381, 763.715, 762.284, 763.822, 767.828, 773.472, 780.022, 786.884, 793.540, 799.448, 803.955, 806.289, 805.798, 802.703, 798.803, 796.526, 797.067, 800.205, 805.187, 811.278, 817.872, 824.445, 830.456, 835.266, 838.109, 838.266, 835.696, 831.818, 829.000, 828.756, 831.150, 835.546, 841.228, 847.583, 854.073, 860.149, 865.174, 868.388, 869.049, 866.955, 863.218, 860.064, 859.213, 861.000, 864.919, 870.285, 876.479, 882.941, 889.112, 894.349, 897.905, 899.027, 897.397, 893.861, 890.472, 889.111, 890.376, 893.904, 899.045, 905.161, 911.674, 918.004, 923.509, 927.456, 929.093, 927.994, 924.731, 921.153, 919.289, 920.037, 923.203, 928.167, 934.271, 940.903, 947.465, 953.320, 957.761, 960.046, 959.635, 956.789, 953.072, 950.648, 950.789, 953.532, 958.301, 964.403, 971.182, 978.022, 984.300, 989.348, 992.444, 992.949, 990.772, 987.061, 984.010, 983.362, 985.509, 989.960, 995.979, 1002.856, 1009.952, 1016.662, 1022.367, 1026.385, 1028.013, 1026.835, 1023.439, 1019.813, 1018.170, 1019.444, 1023.331, 1029.071, 1035.889, 1043.114, 1050.155, 1056.438, 1061.337, 1064.139, 1064.205, 1061.551, 1057.644, 1054.946, 1055.068, 1058.079, 1063.256, 1069.767, 1076.900, 1084.064, 1090.719, 1096.288, 1100.091, 1101.385, 1099.769, 1096.049, 1092.529, 1091.412, 1093.311, 1097.663, 1103.617, 1110.425, 1117.482, 1124.263, 1130.223, 1134.720, 1136.991, 1136.406, 1133.225, 1129.316, 1127.156, 1127.920, 1131.331, 1136.589, 1142.926, 1149.722, 1156.449, 1162.578, 1167.489, 1170.430, 1170.670, 1168.122, 1164.192, 1161.330, 1161.132, 1163.657, 1168.217, 1174.059, 1180.550, 1187.153, 1193.338, 1198.494, 1201.878, 1202.725, 1200.750, 1196.989, 1193.723, 1192.792, 1194.572, 1198.526, 1203.936, 1210.164, 1216.660, 1222.883, 1228.220, 1231.937, 1233.258, 1231.783, 1228.266, 1224.774, 1223.287, 1224.458, 1227.916, 1232.989, 1239.037, 1245.491, 1251.793, 1257.325, 1261.360, 1263.125, 1262.139, 1258.913, 1255.283, 1253.324, 1253.962, 1257.001, 1261.821, 1267.772, 1274.261, 1280.710, 1286.496, 1290.907, 1293.180, 1292.759, 1289.904, 1286.192, 1283.767, 1283.860, 1286.491, 1291.094, 1297.002, 1303.588, 1310.252, 1316.370, 1321.255, 1324.167, 1324.473, 1322.158, 1318.452, 1315.518, 1314.964, 1317.103, 1321.449, 1327.307, 1334.006, 1340.918, 1347.427, 1352.883, 1356.580, 1357.827, 1356.316, 1352.817, 1349.366, 1347.992, 1349.442, 1353.381, 1359.087, 1365.830, 1372.949, 1379.839, 1385.893, 1390.453, 1392.808, 1392.400, 1389.461, 1385.642, 1383.299, 1383.784, 1387.050, 1392.386, 1398.995, 1406.176, 1413.325, 1419.876, 1425.226, 1428.683, 1429.546, 1427.560, 1423.754, 1420.492, 1419.783, 1422.067, 1426.739, 1432.955, 1439.966, 1447.159, 1453.991, 1459.907, 1464.255, 1466.289, 1465.441, 1462.103, 1458.264, 1456.369)
var float[] cq_shani = array.from(325.600, 328.202, 331.614, 335.315, 338.798, 341.590, 343.259, 343.497, 342.288, 340.122, 337.972, 336.839, 337.252, 339.168, 342.198, 345.827, 349.541, 352.850, 355.294, 356.470, 356.141, 354.460, 352.143, 350.271, 349.721, 350.782, 353.228, 356.592, 360.352, 364.007, 367.083, 369.131, 369.781, 368.899, 366.843, 364.539, 363.089, 363.171, 364.837, 367.726, 371.334, 375.146, 378.680, 381.468, 383.073, 383.172, 381.774, 379.471, 377.350, 376.430, 377.147, 379.348, 382.590, 386.358, 390.155, 393.509, 395.955, 397.071, 396.609, 394.766, 392.370, 390.587, 390.262, 391.577, 394.233, 397.741, 401.595, 405.316, 408.433, 410.483, 411.068, 410.056, 407.873, 405.554, 404.233, 404.519, 406.373, 409.397, 413.093, 416.969, 420.553, 423.374, 424.967, 424.988, 423.469, 421.087, 419.007, 418.230, 419.105, 421.424, 424.737, 428.549, 432.384, 435.770, 438.227, 439.303, 438.745, 436.800, 434.383, 432.685, 432.488, 433.905, 436.613, 440.140, 444.004, 447.735, 450.855, 452.876, 453.381, 452.261, 450.014, 447.731, 446.519, 446.902, 448.801, 451.825, 455.500, 459.354, 462.916, 465.695, 467.205, 467.104, 465.480, 463.088, 461.098, 460.432, 461.368, 463.687, 466.961, 470.723, 474.505, 477.824, 480.179, 481.109, 480.399, 478.379, 476.015, 474.444, 474.349, 475.796, 478.472, 481.937, 485.726, 489.366, 492.362, 494.209, 494.510, 493.232, 490.964, 488.797, 487.734, 488.205, 490.113, 493.090, 496.688, 500.441, 503.865, 506.449, 507.711, 507.367, 505.613, 503.269, 501.448, 500.941, 501.956, 504.275, 507.497, 511.169, 514.816, 517.937, 520.021, 520.639, 519.678, 517.587, 515.347, 513.983, 514.053, 515.576, 518.255, 521.665, 525.345, 528.806, 531.533, 533.033, 532.985, 531.489, 529.230, 527.256, 526.426, 527.068, 529.059, 532.044, 535.581, 539.195, 542.379, 544.619, 545.475, 544.783, 542.879, 540.635, 539.061, 538.807, 540.001, 542.412, 545.644, 549.239, 552.701, 555.513, 557.182, 557.368, 556.101, 553.953, 551.896, 550.821, 551.159, 552.872, 555.650, 559.064, 562.634, 565.850, 568.196, 569.234, 568.762, 567.035, 564.821, 563.102, 562.594, 563.518, 565.708, 568.791, 572.310, 575.764, 578.635, 580.433, 580.808, 579.738, 577.703, 575.601, 574.340, 574.434, 575.922, 578.534, 581.850, 585.386, 588.625, 591.058, 592.246, 591.965, 590.399, 588.227, 586.399, 585.685, 586.391, 588.404, 591.373, 594.838, 598.293, 601.220, 603.134, 603.679, 602.790, 600.862, 598.730, 597.315, 597.204, 598.509, 600.993, 604.242, 607.762, 611.036, 613.559, 614.895, 614.796, 613.381, 611.251, 609.329, 608.435, 608.953, 610.825, 613.712, 617.150, 620.626, 623.624, 625.666, 626.387, 625.677, 623.853, 621.692, 620.133, 619.836, 620.983, 623.368, 626.575, 630.105, 633.438, 636.074, 637.577, 637.674, 636.416, 634.328, 632.310, 631.239, 631.583, 633.331, 636.158, 639.592, 643.115, 646.214, 648.416, 649.342, 648.832, 647.123, 644.933, 643.221, 642.734, 643.727, 646.024, 649.208, 652.770, 656.193, 658.980, 660.692, 661.022, 659.950, 657.914, 655.794, 654.530, 654.685, 656.305, 659.078, 662.522, 666.118, 669.356, 671.765, 672.946, 672.682, 671.120, 668.906, 667.025, 666.319, 667.135, 669.331, 672.490, 676.099, 679.640, 682.622, 684.597, 685.219, 684.385, 682.434, 680.207, 678.719, 678.645, 680.104, 682.800, 686.251, 689.933, 693.341, 696.004, 697.502, 697.552, 696.194, 693.984, 691.917, 690.948, 691.534, 693.586, 696.693, 700.341, 704.014, 707.224, 709.515, 710.499, 709.979, 708.175, 705.863, 704.119, 703.754, 704.987, 707.555, 710.980, 714.738, 718.330, 721.283, 723.155, 723.597, 722.532, 720.390, 718.143, 716.860, 717.138, 718.969, 721.966, 725.617, 729.409, 732.857, 735.499, 736.907, 736.792, 735.231, 732.889, 730.876, 730.152, 731.068, 733.425, 736.758, 740.552, 744.309, 747.556, 749.836, 750.738, 750.064, 748.089, 745.709, 744.079, 743.967, 745.478, 748.275, 751.858, 755.720, 759.380, 762.370, 764.232, 764.592, 763.381, 761.111, 758.863, 757.731, 758.236, 760.276, 763.425, 767.177, 771.041, 774.545, 777.218, 778.606, 778.400, 776.709, 774.292, 772.336, 771.772, 772.864, 775.354, 778.772, 782.622, 786.426, 789.712, 792.003, 792.863, 792.088, 790.011, 787.617, 786.084, 786.111, 787.735, 790.596, 794.210, 798.093, 801.775, 804.777, 806.616, 806.902, 805.588, 803.259, 801.055, 800.036, 800.643, 802.735, 805.891, 809.633, 813.488, 816.982, 819.626, 820.944, 820.631, 818.848, 816.431, 814.567, 814.110, 815.261, 817.751, 821.137, 824.946, 828.709, 831.943, 834.149, 834.884, 833.978)
var float[] cq_rahu = array.from(178.622, 177.033, 175.443, 173.853, 172.263, 170.674, 169.084, 167.494, 165.904, 164.314, 162.725, 161.135, 159.545, 157.955, 156.366, 154.776, 153.186, 151.596, 150.007, 148.417, 146.827, 145.237, 143.648, 142.058, 140.468, 138.878, 137.289, 135.699, 134.109, 132.519, 130.930, 129.340, 127.750, 126.160, 124.570, 122.981, 121.391, 119.801, 118.211, 116.622, 115.032, 113.442, 111.852, 110.263, 108.673, 107.083, 105.493, 103.904, 102.314, 100.724, 99.134, 97.545, 95.955, 94.365, 92.775, 91.186, 89.596, 88.006, 86.416, 84.826, 83.237, 81.647, 80.057, 78.467, 76.878, 75.288, 73.698, 72.108, 70.519, 68.929, 67.339, 65.749, 64.160, 62.570, 60.980, 59.390, 57.801, 56.211, 54.621, 53.031, 51.442, 49.852, 48.262, 46.672, 45.082, 43.493, 41.903, 40.313, 38.723, 37.134, 35.544, 33.954, 32.364, 30.775, 29.185, 27.595, 26.005, 24.416, 22.826, 21.236, 19.646, 18.057, 16.467, 14.877, 13.287, 11.698, 10.108, 8.518, 6.928, 5.338, 3.749, 2.159, 0.569, -1.021, -2.610, -4.200, -5.790, -7.380, -8.969, -10.559, -12.149, -13.739, -15.328, -16.918, -18.508, -20.098, -21.687, -23.277, -24.867, -26.457, -28.046, -29.636, -31.226, -32.816, -34.406, -35.995, -37.585, -39.175, -40.765, -42.354, -43.944, -45.534, -47.124, -48.713, -50.303, -51.893, -53.483, -55.072, -56.662, -58.252, -59.842, -61.431, -63.021, -64.611, -66.201, -67.790, -69.380, -70.970, -72.560, -74.150, -75.739, -77.329, -78.919, -80.509, -82.098, -83.688, -85.278, -86.868, -88.457, -90.047, -91.637, -93.227, -94.816, -96.406, -97.996, -99.586, -101.175, -102.765, -104.355, -105.945, -107.534, -109.124, -110.714, -112.304, -113.894, -115.483, -117.073, -118.663, -120.253, -121.842, -123.432, -125.022, -126.612, -128.201, -129.791, -131.381, -132.971, -134.560, -136.150, -137.740, -139.330, -140.919, -142.509, -144.099, -145.689, -147.278, -148.868, -150.458, -152.048, -153.638, -155.227, -156.817, -158.407, -159.997, -161.586, -163.176, -164.766, -166.356, -167.945, -169.535, -171.125, -172.715, -174.304, -175.894, -177.484, -179.074, -180.663, -182.253, -183.843, -185.433, -187.022, -188.612, -190.202, -191.792, -193.382, -194.971, -196.561, -198.151, -199.741, -201.330, -202.920, -204.510, -206.100, -207.689, -209.279, -210.869, -212.459, -214.048, -215.638, -217.228, -218.818, -220.407, -221.997, -223.587, -225.177, -226.766, -228.356, -229.946, -231.536, -233.126, -234.715, -236.305, -237.895, -239.485, -241.074, -242.664, -244.254, -245.844, -247.433, -249.023, -250.613, -252.203, -253.792, -255.382, -256.972, -258.562, -260.151, -261.741, -263.331, -264.921, -266.510, -268.100, -269.690, -271.280, -272.870, -274.459, -276.049, -277.639, -279.229, -280.818, -282.408, -283.998, -285.588, -287.177, -288.767, -290.357, -291.947, -293.536, -295.126, -296.716, -298.306, -299.895, -301.485, -303.075, -304.665, -306.254, -307.844, -309.434, -311.024, -312.614, -314.203, -315.793, -317.383, -318.973, -320.562, -322.152, -323.742, -325.332, -326.921, -328.511, -330.101, -331.691, -333.280, -334.870, -336.460, -338.050, -339.639, -341.229, -342.819, -344.409, -345.998, -347.588, -349.178, -350.768, -352.358, -353.947, -355.537, -357.127, -358.717, -360.306, -361.896, -363.486, -365.076, -366.665, -368.255, -369.845, -371.435, -373.024, -374.614, -376.204, -377.794, -379.383, -380.973, -382.563, -384.153, -385.742, -387.332, -388.922, -390.512, -392.102, -393.691, -395.281, -396.871, -398.461, -400.050, -401.640, -403.230, -404.820, -406.409, -407.999, -409.589, -411.179, -412.768, -414.358, -415.948, -417.538, -419.127, -420.717, -422.307, -423.897, -425.486, -427.076, -428.666, -430.256, -431.845, -433.435, -435.025, -436.615, -438.205, -439.794, -441.384, -442.974, -444.564, -446.153, -447.743, -449.333, -450.923, -452.512, -454.102, -455.692, -457.282, -458.871, -460.461, -462.051, -463.641, -465.230, -466.820, -468.410, -470.000, -471.589, -473.179, -474.769, -476.359, -477.949, -479.538, -481.128, -482.718, -484.308, -485.897, -487.487, -489.077, -490.667, -492.256, -493.846, -495.436, -497.026, -498.615, -500.205, -501.795, -503.385, -504.974, -506.564, -508.154, -509.744, -511.333, -512.923, -514.513, -516.103, -517.692, -519.282, -520.872, -522.462, -524.052, -525.641, -527.231, -528.821, -530.411, -532.000, -533.590, -535.180, -536.770, -538.359, -539.949, -541.539, -543.129, -544.718, -546.308, -547.898, -549.488, -551.077, -552.667, -554.257, -555.847, -557.436, -559.026, -560.616, -562.206, -563.796, -565.385, -566.975, -568.565, -570.155, -571.744, -573.334, -574.924, -576.514, -578.103, -579.693, -581.283, -582.873, -584.462, -586.052, -587.642, -589.232, -590.821, -592.411, -594.001, -595.591)

cq_slow(arr, jd) =>
    float pos = (jd - cq_jd0) / cq_step
    int n = array.size(arr)
    int i = math.max(0, math.min(n - 2, int(math.floor(pos))))
    float frac = math.max(0.0, math.min(1.0, pos - i))
    float a = array.get(arr, i)
    float b = array.get(arr, i + 1)
    (a + (b - a) * frac) % 360.0

// ----------------------------------------------------------------------------- compute
float jd  = julianDay()
float T   = (jd - 2451545.0) / 36525.0
float ayan = ayanamsa(T)

float sunTrop  = sunLongitude(T)
float moonTrop = moonLongitude(T)
float sunSid   = norm360(sunTrop - ayan)
float moonSid  = norm360(moonTrop - ayan)
float moonLat  = moonLatitude(T)

float guruSid  = cq_slow(cq_guru, jd)
float shaniSid = cq_slow(cq_shani, jd)
float rahuSid  = cq_slow(cq_rahu, jd)

// --- Panchanga ---------------------------------------------------------------------
float elong    = norm360(moonSid - sunSid)
int   tithiIdx = int(math.floor(elong / TITHI_DEG))              // 0..29
int   tithiNum = (tithiIdx % 15) + 1                             // 1..15
bool  shukla   = tithiIdx < 15
int   nakIdx   = int(math.floor(moonSid / NAK_DEG))              // 0..26
int   padaIdx  = int(math.floor((moonSid % NAK_DEG) / (NAK_DEG / 4.0))) + 1
int   yogaIdx  = int(math.floor(norm360(sunSid + moonSid) / NAK_DEG))
int   karSlot  = int(math.floor(elong / KARANA_DEG))             // 0..59

// Karana identity: Kimstughna at slot 0, the seven chara karanas repeating across
// slots 1..56, then Shakuni, Chatushpada and Naga closing the lunar month.
int karIdx = karSlot == 0 ? 10 : karSlot >= 57 ? 7 + (karSlot - 57) : (karSlot - 1) % 7
bool isVishti = karIdx == 6

bool isPurnima = tithiIdx == 14
bool isAmavasya = tithiIdx == 29
bool isRikta = tithiNum == 4 or tithiNum == 9 or tithiNum == 14

// Gandanta: the water–fire junctions at 0°, 120° and 240°, ±3°20'.
float gdist = math.min(math.min(math.abs(((moonSid - 0.0 + 180.0) % 360.0) - 180.0), math.abs(((moonSid - 120.0 + 180.0) % 360.0) - 180.0)), math.abs(((moonSid - 240.0 + 180.0) % 360.0) - 180.0))
bool inGandanta = gdist <= 3.3333

// Grahana: a syzygy with the Moon inside the ecliptic limit.
bool nearSyzygy = elong < 14.0 or elong > 346.0 or math.abs(elong - 180.0) < 14.0
bool eclipseWindow = nearSyzygy and math.abs(moonLat) < 1.5

// --- Composites ---------------------------------------------------------------------
// Kala Taranga: the cosmic tide. A weighted sum of the aspect geometry between the
// slow grahas and the luminaries, standardised on the chart's own history.
float gsSep = math.abs(((guruSid - shaniSid + 180.0) % 360.0) - 180.0)
float grSep = math.abs(((guruSid - rahuSid + 180.0) % 360.0) - 180.0)
float srSep = math.abs(((shaniSid - rahuSid + 180.0) % 360.0) - 180.0)
float mgSep = math.abs(((moonSid - guruSid + 180.0) % 360.0) - 180.0)
float msSep = math.abs(((moonSid - shaniSid + 180.0) % 360.0) - 180.0)

aspectK(sep, angle, orb) => math.max(0.0, 1.0 - math.abs(sep - angle) / orb)

float ktwRaw = 0.0
ktwRaw := ktwRaw + 1.00 * (aspectK(gsSep, 0.0, 12.0) - aspectK(gsSep, 90.0, 8.0) + aspectK(gsSep, 120.0, 8.0))
ktwRaw := ktwRaw + 0.70 * (aspectK(grSep, 120.0, 8.0) - aspectK(grSep, 0.0, 10.0))
ktwRaw := ktwRaw - 0.90 * aspectK(srSep, 0.0, 10.0)
ktwRaw := ktwRaw + 0.50 * (aspectK(mgSep, 0.0, 8.0) + aspectK(mgSep, 120.0, 7.0))
ktwRaw := ktwRaw - 0.40 * aspectK(msSep, 0.0, 8.0)
ktwRaw := ktwRaw + 0.35 * (shukla ? 1.0 : -1.0)

float ktw = ta.sma(ktwRaw, 5)
float ktwZ = (ktw - ta.sma(ktw, 200)) / math.max(ta.stdev(ktw, 200), 0.0001)

// Bhaya (panic) index: the classical stress terms, 0..1.
float bhyRaw = 0.0
bhyRaw := bhyRaw + (isVishti ? 0.22 : 0.0)
bhyRaw := bhyRaw + (eclipseWindow ? 0.26 : 0.0)
bhyRaw := bhyRaw + (inGandanta ? 0.18 : 0.0)
bhyRaw := bhyRaw + (isRikta ? 0.14 : 0.0)
bhyRaw := bhyRaw + 0.20 * aspectK(srSep, 0.0, 12.0)
bhyRaw := bhyRaw + (shukla ? 0.0 : 0.10)
float bhy = math.min(1.0, bhyRaw)

// --- Regime ---------------------------------------------------------------------------
// Trend and volatility define the regime; the astro layer supplies the risk overlay.
float emaF = ta.ema(close, emaFast)
float emaS = ta.ema(close, emaSlow)
float emaT = ta.ema(close, emaTrend)
float rv   = ta.stdev(ta.roc(close, 1), 20) * math.sqrt(252)
float rvRank = ta.percentrank(rv, 252)

bool trendUp   = close > emaT and emaF > emaS
bool trendDown = close < emaT and emaF < emaS
bool turbulent = rvRank > 85

// 0 Vriddhi, 1 Sthira, 2 Kshaya, 3 Kshobha
int regime = turbulent ? 3 : trendUp ? 0 : trendDown ? 2 : 1

color regimeCol = regime == 0 ? color.new(#22c55e, 88) : regime == 1 ? color.new(#f59e0b, 90) : regime == 2 ? color.new(#ef4444, 88) : color.new(#a855f7, 85)

bgcolor(showBands ? regimeCol : na, title="Regime band")
bgcolor(showEclipse and eclipseWindow ? color.new(#a855f7, 70) : na, title="Grahana window")
bgcolor(showVishti and isVishti ? color.new(#ef4444, 82) : na, title="Vishti karana")

// --- Markers -----------------------------------------------------------------------------
var string[] NAK = array.from("Ashvini","Bharani","Krittika","Rohini","Mrigashira","Ardra","Punarvasu","Pushya","Ashlesha","Magha","P.Phalguni","U.Phalguni","Hasta","Chitra","Svati","Vishakha","Anuradha","Jyeshtha","Mula","P.Ashadha","U.Ashadha","Shravana","Dhanishtha","Shatabhishaj","P.Bhadrapada","U.Bhadrapada","Revati")
var string[] TITHI = array.from("Pratipada","Dvitiya","Tritiya","Chaturthi","Panchami","Shashthi","Saptami","Ashtami","Navami","Dashami","Ekadashi","Dvadashi","Trayodashi","Chaturdashi","Purnima")
var string[] YOGA = array.from("Vishkambha","Priti","Ayushman","Saubhagya","Shobhana","Atiganda","Sukarma","Dhriti","Shula","Ganda","Vriddhi","Dhruva","Vyaghata","Harshana","Vajra","Siddhi","Vyatipata","Variyana","Parigha","Shiva","Siddha","Sadhya","Shubha","Shukla","Brahma","Indra","Vaidhriti")
var string[] KARANA = array.from("Bava","Balava","Kaulava","Taitila","Gara","Vanija","Vishti","Shakuni","Chatushpada","Naga","Kimstughna")
var string[] RASHI = array.from("Mesha","Vrishabha","Mithuna","Karka","Simha","Kanya","Tula","Vrischika","Dhanu","Makara","Kumbha","Meena")

string nakName   = array.get(NAK, nakIdx)
string tithiName = (shukla ? "Shukla " : "Krishna ") + (isAmavasya ? "Amavasya" : array.get(TITHI, tithiNum - 1))
string yogaName  = array.get(YOGA, yogaIdx)
string karName   = array.get(KARANA, karIdx)

bool nakChanged = nakIdx != nakIdx[1]
if showNakLabel and nakChanged and not na(nakIdx[1])
    label.new(bar_index, low, nakName, style=label.style_label_up, color=color.new(#334155, 20), textcolor=#e2e8f0, size=size.tiny)

plotshape(showSyzygy and isPurnima, title="Purnima", style=shape.circle, location=location.abovebar, color=color.new(#fbbf24, 0), size=size.tiny)
plotshape(showSyzygy and isAmavasya, title="Amavasya", style=shape.circle, location=location.abovebar, color=color.new(#475569, 0), size=size.tiny)

// --- Trend plot ---------------------------------------------------------------------------
plot(emaT, "Trend EMA", color=color.new(#64748b, 40), linewidth=1)
plot(emaF, "Fast EMA", color=color.new(#22d3ee, 30), linewidth=1)

// --- Info table -----------------------------------------------------------------------------
var table info = na
if barstate.islast and showTable
    pos = tablePos == "Top right" ? position.top_right : tablePos == "Top left" ? position.top_left : tablePos == "Bottom right" ? position.bottom_right : position.bottom_left
    info := table.new(pos, 2, 13, bgcolor=color.new(#0f172a, 10), border_color=color.new(#334155, 40), border_width=1)
    regimeName = regime == 0 ? "VRIDDHI" : regime == 1 ? "STHIRA" : regime == 2 ? "KSHAYA" : "KSHOBHA"
    regimeTxt  = regime == 0 ? #22c55e : regime == 1 ? #f59e0b : regime == 2 ? #ef4444 : #a855f7

    table.cell(info, 0, 0, "ChandraQuant", text_color=#22d3ee, text_size=size.small)
    table.cell(info, 1, 0, "Kāla-Chakra",  text_color=#94a3b8, text_size=size.small)
    table.cell(info, 0, 1, "Regime",    text_color=#94a3b8, text_size=size.small)
    table.cell(info, 1, 1, regimeName,  text_color=regimeTxt, text_size=size.small)
    table.cell(info, 0, 2, "Tithi",     text_color=#94a3b8, text_size=size.small)
    table.cell(info, 1, 2, tithiName,   text_color=#e2e8f0, text_size=size.small)
    table.cell(info, 0, 3, "Nakshatra", text_color=#94a3b8, text_size=size.small)
    table.cell(info, 1, 3, nakName + " · " + str.tostring(padaIdx), text_color=#e2e8f0, text_size=size.small)
    table.cell(info, 0, 4, "Yoga",      text_color=#94a3b8, text_size=size.small)
    table.cell(info, 1, 4, yogaName,    text_color=#e2e8f0, text_size=size.small)
    table.cell(info, 0, 5, "Karana",    text_color=#94a3b8, text_size=size.small)
    table.cell(info, 1, 5, karName,     text_color=isVishti ? #ef4444 : #e2e8f0, text_size=size.small)
    table.cell(info, 0, 6, "Chandra",   text_color=#94a3b8, text_size=size.small)
    table.cell(info, 1, 6, array.get(RASHI, int(moonSid / 30.0)) + " " + str.tostring(moonSid % 30.0, "#.#") + "°", text_color=#e2e8f0, text_size=size.small)
    table.cell(info, 0, 7, "Surya",     text_color=#94a3b8, text_size=size.small)
    table.cell(info, 1, 7, array.get(RASHI, int(sunSid / 30.0)) + " " + str.tostring(sunSid % 30.0, "#.#") + "°", text_color=#e2e8f0, text_size=size.small)
    table.cell(info, 0, 8, "Guru",      text_color=#94a3b8, text_size=size.small)
    table.cell(info, 1, 8, array.get(RASHI, int(guruSid / 30.0)), text_color=#e2e8f0, text_size=size.small)
    table.cell(info, 0, 9, "Shani",     text_color=#94a3b8, text_size=size.small)
    table.cell(info, 1, 9, array.get(RASHI, int(shaniSid / 30.0)), text_color=#e2e8f0, text_size=size.small)
    table.cell(info, 0, 10, "Kāla Taraṅga", text_color=#94a3b8, text_size=size.small)
    table.cell(info, 1, 10, str.tostring(ktwZ, "#.##"), text_color=ktwZ > 0 ? #22c55e : #ef4444, text_size=size.small)
    table.cell(info, 0, 11, "Bhaya",    text_color=#94a3b8, text_size=size.small)
    table.cell(info, 1, 11, str.tostring(bhy * 100, "#") + "%", text_color=bhy > 0.5 ? #ef4444 : #22c55e, text_size=size.small)
    table.cell(info, 0, 12, "Ayanamsa", text_color=#94a3b8, text_size=size.small)
    table.cell(info, 1, 12, str.tostring(ayan, "#.###") + "°", text_color=#64748b, text_size=size.small)

// --- Alerts ------------------------------------------------------------------------------------
alertcondition(regime != regime[1], "Regime change", "ChandraQuant: regime has shifted")
alertcondition(nakChanged, "Nakshatra change", "ChandraQuant: Chandra enters a new nakshatra")
alertcondition(isVishti and not isVishti[1], "Vishti karana begins", "ChandraQuant: Vishti (Bhadra) — abstention window")
alertcondition(eclipseWindow and not eclipseWindow[1], "Grahana window", "ChandraQuant: eclipse window opens")

// --- Exposed for other scripts --------------------------------------------------------------------
plot(moonSid, "Chandra sidereal", display=display.data_window)
plot(sunSid,  "Surya sidereal",   display=display.data_window)
plot(ktwZ,    "Kala Taranga",     display=display.data_window)
plot(bhy,     "Bhaya",            display=display.data_window)
plot(nakIdx,  "Nakshatra index",  display=display.data_window)
plot(tithiIdx,"Tithi index",      display=display.data_window)

Overview

ChandraQuant — Kāla-Chakra calculates Sun and Moon ecliptic longitudes from Meeus periodic series, converts them to the sidereal zodiac with the Lahiri ayanamsa, and marks nakshatra changes, Purnima and Amavasya, eclipse intervals, and Vishti karana on the price chart. Optional background bands show the astronomical regime. Fast, slow, and trend exponential moving averages supply price context, and an info table lists the current readings. All drawings are deterministic functions of time and do not repaint.

Meeus Sun and Moon longitudes
Lahiri ayanamsa sidereal conversion
Nakshatra, tithi and karana marks
Eclipse shading and syzygy glyphs
EMA trend context and info table

Details

Published by

vinitpatil519 on GitHub

Type

Indicator, Pine Script v6

Draws

On the price chart

Markets

Indices

Timeframes

Any timeframe

Risk Notes

No repainting, lookahead or stacked entries were found in its code or README. That says nothing about how well it works: test it first.

File

v3/pine/ChandraQuant_KalaChakra.pine

Repository

github.com/vinitpatil519/ChandraQuant. See its other scripts in the library

Settings

The inputs you can change from the gear icon on the chart. Defaults are the author's.

Setting	Type	Default	Variable
Regime background bands	`bool`	`true`	`showBands`
Nakshatra change markers	`bool`	`true`	`showNakLabel`
Purnima / Amavasya glyphs	`bool`	`true`	`showSyzygy`
Grahana (eclipse) shading	`bool`	`true`	`showEclipse`
Vishti (Bhadra) karana marks	`bool`	`true`	`showVishti`
Info table	`bool`	`true`	`showTable`
Table position	`string`	`Top right`	`tablePos`
Fast EMA	`int`	`20`	`emaFast`
Slow EMA	`int`	`50`	`emaSlow`
Trend EMA	`int`	`200`	`emaTrend`

Third-party code. ForexR did not write, test or endorse this script, and the summary above was generated automatically from its code and README. Indicators describe the past, and a strategy's backtest can look better than live trading, especially when a script repaints. Check it in the Strategy Tester and on a demo account before you rely on it.

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