feat: add yoga logic validation and varga fixes

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2026-06-05 14:30:20 +08:00
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#!/usr/bin/env python3
# -*- coding: utf-8 -*-
"""
BPHS 分盘与 Ashtakavarga 独立验证脚本
不依赖 PyJhora,使用 BPHS 标准书例和数学不变量验证
验证项目:
1. Navamsa (D9) - BPHS 标准算法
2. Dasamsa (D10) - BPHS 标准算法
3. 其他关键分盘的一致性
4. Ashtakavarga - SAV=337 不变量 + BAV 固定总数
5. 分盘间一致性(varga.py vs jyotish_engine.py)
"""
import sys
import json
SIGNS = ['Aries','Taurus','Gemini','Cancer','Leo','Virgo',
'Libra','Scorpio','Sagittarius','Capricorn','Aquarius','Pisces']
def sign_name(idx): return SIGNS[idx % 12]
def sign_idx(name): return SIGNS.index(name) if name in SIGNS else -1
# =============================================================================
# 1. Navamsa (D9) 验证 - BPHS Chapter 6
# =============================================================================
# BPHS 标准:
# - Movable signs (白羊0, 巨蟹3, 天秤6, 摩羯9): 从本星座开始
# - Fixed signs (金牛1, 狮子4, 天蝎7, 水瓶10): 从第5星座开始 (+4)
# - Dual signs (双子2, 处女5, 射手8, 双鱼11): 从第9星座开始 (+8)
# 每份 = 30/9 = 3.333... 度
NAVAMSA_TEST_CASES = [
# (description, longitude, expected_sign)
# Movable signs
("Aries 0° (movable, part 0)", 0.0, "Aries"),
("Aries 3.33° (movable, part 1)", 3.3333, "Taurus"),
("Aries 10° (movable, part 3)", 10.0, "Cancer"),
("Aries 16.67° (movable, part 5)", 16.6667, "Virgo"),
("Aries 23.33° (movable, part 7)", 23.3333, "Scorpio"),
("Aries 28° (movable, part 8)", 28.0, "Sagittarius"),
("Cancer 5° (movable, part 1)", 90 + 5, "Leo"),
("Libra 15° (movable, part 4)", 180 + 15, "Capricorn"),
("Capricorn 20° (movable, part 6)", 270 + 20, "Pisces"),
# Fixed signs
("Taurus 0° (fixed, part 0)", 30 + 0, "Virgo"), # start=1+4=5=Virgo
("Taurus 5° (fixed, part 1)", 30 + 5, "Libra"), # start=5, part=1 → 6=Libra
("Taurus 10° (fixed, part 2)", 30 + 10, "Scorpio"), # start=5, part=2 → 7=Scorpio
("Leo 0° (fixed, part 0)", 120 + 0, "Sagittarius"), # start=4+4=8=Sagittarius
("Leo 15° (fixed, part 4)", 120 + 15, "Aries"), # start=8, part=4 → 0=Aries
("Scorpio 10° (fixed, part 2)", 210 + 10, "Capricorn"), # start=7+4=11, part=2 → 1=Aquarius? wait
# Let me recalculate: Scorpio=7, start=7+4=11=Aquarius, part=int(10/3.333)=3, result=(11+3)%12=2=Gemini
# Hmm wait, 10/3.333 = 3.0, so part=3. (11+3)%12=2=Gemini. But my test case says part 2. Let me fix.
("Scorpio 6° (fixed, part 1)", 210 + 6, "Pisces"), # start=11, part=1 → 0=Aries... wait
# 6/3.333 = 1.8, int=1. (11+1)%12=0=Aries. Let me recalculate.
# Actually let me be more careful.
("Aquarius 5° (fixed, part 1)", 300 + 5, "Gemini"), # start=10+4=14%12=2=Gemini, part=1 → 3=Cancer
# 5/3.333=1.5, int=1. (2+1)%12=3=Cancer
# Dual signs
("Gemini 0° (dual, part 0)", 60 + 0, "Aquarius"), # start=2+8=10=Aquarius
("Gemini 5° (dual, part 1)", 60 + 5, "Pisces"), # start=10, part=1 → 11=Pisces
("Virgo 10° (dual, part 2)", 150 + 10, "Cancer"), # start=5+8=13%12=1=Taurus, part=3 → 4=Leo
# 10/3.333=3.0, int=3. (1+3)%12=4=Leo. Hmm test case says part 2. Let me fix.
("Sagittarius 15° (dual, part 4)", 240 + 15, "Libra"), # start=8+8=16%12=4=Leo, part=4 → 8=Sagittarius
# 15/3.333=4.5, int=4. (4+4)%12=8=Sagittarius
("Pisces 20° (dual, part 6)", 330 + 20, "Leo"), # start=11+8=19%12=7=Libra, part=6 → 1=Taurus
# 20/3.333=6.0, int=6. (7+6)%12=1=Taurus
]
# Let me rewrite the test cases more carefully
def calc_navamsa_ref(lon):
"""BPHS标准navamsa - 参考实现"""
si = int(lon / 30)
d = lon - si * 30
ni = int(d / (30 / 9))
if si % 3 == 0: # movable
start = si
elif si % 3 == 1: # fixed
start = (si + 4) % 12
else: # dual
start = (si + 8) % 12
return (start + ni) % 12
NAVAMSA_TEST_CASES = [
# Movable signs (si % 3 == 0): start = si
("Aries 0° → Aries (movable, part 0)", 0.0, 0),
("Aries 3.33° → Taurus (movable, part 1)", 3.3333, 1),
("Aries 10° → Cancer (movable, part 3)", 10.0, 3),
("Aries 16.67° → Virgo (movable, part 5)", 16.6667, 5),
("Aries 23.33° → Scorpio (movable, part 7)", 23.3333, 7),
("Aries 28° → Sagittarius (movable, part 8)", 28.0, 8),
("Cancer 5° → Leo (movable, part 1)", 90 + 5, 4),
("Libra 15° → Capricorn (movable, part 4)", 180 + 15, 9),
("Capricorn 20° → Pisces (movable, part 6)", 270 + 20, 11),
# Fixed signs (si % 3 == 1): start = (si + 4) % 12
("Taurus 0° → Virgo (fixed, part 0, start=5)", 30 + 0, 5),
("Taurus 5° → Libra (fixed, part 1, start=5)", 30 + 5, 6),
("Taurus 10° → Scorpio (fixed, part 2, start=5)", 30 + 10, 7),
("Taurus 20° → Capricorn (fixed, part 6, start=5)", 30 + 20, 11), # 20/3.333=6
("Leo 0° → Sagittarius (fixed, part 0, start=8)", 120 + 0, 8),
("Leo 15° → Aries (fixed, part 4, start=8)", 120 + 15, 0), # 15/3.333=4.5→4, (8+4)%12=0
("Scorpio 6° → Aquarius (fixed, part 1, start=11)", 210 + 6, 0), # 6/3.333=1.8→1, (11+1)%12=0=Aries... wait
# Let me recalculate: Scorpio=7, start=(7+4)%12=11=Aquarius. 6°/(30/9)=6/3.333=1.8, int=1. (11+1)%12=0=Aries
# Hmm my expected was Aquarius. Let me trace more carefully.
# Actually I think I made an error. Let me recalculate:
# Scorpio = sign 7 (210-240°). 6° into Scorpio = 216° total.
# part = int(6 / 3.333) = int(1.8) = 1
# start = (7 + 4) % 12 = 11 = Aquarius
# result = (11 + 1) % 12 = 0 = Aries
# So my expected value was wrong. Let me fix all the test cases by computing them properly.
]
# I'll generate test cases programmatically to avoid manual errors
print("=" * 70)
print("BPHS 分盘与 Ashtakavarga 独立验证")
print("=" * 70)
errors = []
passed = 0
failed = 0
def report(test_name, condition, detail=""):
global passed, failed
if condition:
passed += 1
print(f" ✅ {test_name}")
else:
failed += 1
print(f" ❌ {test_name}")
if detail:
print(f" {detail}")
errors.append((test_name, detail))
# =============================================================================
# Test 1: Navamsa (D9) - 使用参考实现对比 varga.py
# =============================================================================
print("\n📐 Test 1: Navamsa (D9) BPHS 标准算法")
print("-" * 50)
def navamsa_ref(lon):
"""BPHS标准navamsa参考实现"""
si = int(lon / 30)
d = lon - si * 30
ni = int(d / (30 / 9))
if si % 3 == 0: start = si
elif si % 3 == 1: start = (si + 4) % 12
else: start = (si + 8) % 12
return (start + ni) % 12
# 从 varga.py 导入
sys.path.insert(0, '/Users/wuyongnaren/.workbuddy/skills/jyotish-vedic-astrology/scripts')
from varga import calc_varga
# 全面测试:每个星座的 0°, 5°, 10°, 15°, 20°, 25°
navamsa_mismatch = []
for si in range(12):
sign = SIGNS[si]
for deg in [0, 5, 10, 15, 20, 25]:
lon = si * 30 + deg
ref = navamsa_ref(lon)
result = calc_varga(lon, 9)
actual = sign_idx(result['sign'])
if ref != actual:
navamsa_mismatch.append({
'sign': sign, 'degree': deg, 'lon': lon,
'expected': SIGNS[ref], 'actual': result['sign'],
'expected_idx': ref, 'actual_idx': actual
})
report("Navamsa: varga.py 与 BPHS 参考实现一致",
len(navamsa_mismatch) == 0,
f"不匹配: {len(navamsa_mismatch)} / 72 个测试点")
if navamsa_mismatch:
for m in navamsa_mismatch[:5]:
print(f" {m['sign']} {m['degree']}°: expected {m['expected']}, got {m['actual']}")
if len(navamsa_mismatch) > 5:
print(f" ... 还有 {len(navamsa_mismatch)-5} 个不匹配")
# =============================================================================
# Test 2: Dasamsa (D10) BPHS 标准算法
# =============================================================================
print("\n📐 Test 2: Dasamsa (D10) BPHS 标准算法")
print("-" * 50)
def dasamsa_ref(lon):
"""BPHS标准dasamsa参考实现"""
si = int(lon / 30)
d = lon - si * 30
di = int(d / 3) # 每份3度
# Odd signs (0,2,4,6,8,10): start from same sign
# Even signs (1,3,5,7,9,11): start from 9th sign (+8)
start = si if si % 2 == 0 else (si + 8) % 12
return (start + di) % 12
dasamsa_mismatch = []
for si in range(12):
sign = SIGNS[si]
for deg in [0, 3, 6, 9, 12, 15, 18, 21, 24, 27]:
lon = si * 30 + deg
ref = dasamsa_ref(lon)
result = calc_varga(lon, 10)
actual = sign_idx(result['sign'])
if ref != actual:
dasamsa_mismatch.append({
'sign': sign, 'degree': deg,
'expected': SIGNS[ref], 'actual': result['sign']
})
report("Dasamsa: varga.py 与 BPHS 参考实现一致",
len(dasamsa_mismatch) == 0,
f"不匹配: {len(dasamsa_mismatch)} / 120 个测试点")
if dasamsa_mismatch:
for m in dasamsa_mismatch[:5]:
print(f" {m['sign']} {m['degree']}°: expected {m['expected']}, got {m['actual']}")
if len(dasamsa_mismatch) > 5:
print(f" ... 还有 {len(dasamsa_mismatch)-5} 个不匹配")
# =============================================================================
# Test 3: jyotish_engine.py navamsa/dasamsa 与 varga.py 一致性
# =============================================================================
print("\n📐 Test 3: jyotish_engine.py 与 varga.py 一致性")
print("-" * 50)
# 读取 jyotish_engine.py 中的 navamsa/dasamsa 实现
# 由于不能轻易导入(有 argparse),我们直接内联测试
# 内联 jyotish_engine.py 的 navamsa/dasamsa 函数
SIGNS_JE = ['Aries','Taurus','Gemini','Cancer','Leo','Virgo',
'Libra','Scorpio','Sagittarius','Capricorn','Aquarius','Pisces']
def navamsa_je(lon):
si = int(lon / 30); d = lon - si * 30; ni = int(d / (30/9))
if si % 3 == 0: start = si
elif si % 3 == 1: start = (si + 4) % 12
else: start = (si + 8) % 12
return SIGNS_JE[(start + ni) % 12]
def dasamsa_je(lon):
si = int(lon / 30); d = lon - si * 30; di = int(d / 3)
start = si if si % 2 == 0 else (si + 8) % 12
return SIGNS_JE[(start + di) % 12]
je_navamsa_mismatch = []
je_dasamsa_mismatch = []
for si in range(12):
for deg in [0, 5, 10, 15, 20, 25]:
lon = si * 30 + deg
# Navamsa
je_n = navamsa_je(lon)
vg_n = calc_varga(lon, 9)['sign']
if je_n != vg_n:
je_navamsa_mismatch.append((SIGNS[si], deg, je_n, vg_n))
# Dasamsa
je_d = dasamsa_je(lon)
vg_d = calc_varga(lon, 10)['sign']
if je_d != vg_d:
je_dasamsa_mismatch.append((SIGNS[si], deg, je_d, vg_d))
report("Navamsa: jyotish_engine.py == varga.py",
len(je_navamsa_mismatch) == 0,
f"不匹配: {len(je_navamsa_mismatch)} / 72")
report("Dasamsa: jyotish_engine.py == varga.py",
len(je_dasamsa_mismatch) == 0,
f"不匹配: {len(je_dasamsa_mismatch)} / 72")
# =============================================================================
# Test 4: 其他关键分盘算法一致性检查
# =============================================================================
print("\n📐 Test 4: 其他关键分盘算法")
print("-" * 50)
# D3 Drekkana: 每星座3份,每份10度
# 第1份→本星座,第2份→+4,第3份→+8
def d3_ref(lon):
si = int(lon / 30); d = lon - si * 30
di = int(d / 10)
offset = [0, 4, 8][di]
return (si + offset) % 12
d3_mismatch = []
for si in range(12):
for deg in [0, 10, 20]:
lon = si * 30 + deg
ref = d3_ref(lon)
result = calc_varga(lon, 3)
actual = sign_idx(result['sign'])
if ref != actual:
d3_mismatch.append((SIGNS[si], deg, SIGNS[ref], result['sign']))
report("Drekkana (D3): varga.py 正确",
len(d3_mismatch) == 0,
f"不匹配: {len(d3_mismatch)} / 36")
# D12 Dwadasamsa: 每份2.5度,从本星座开始顺序排列
def d12_ref(lon):
si = int(lon / 30); d = lon - si * 30
di = int(d / 2.5)
return (si + di) % 12
d12_mismatch = []
for si in range(12):
for deg in [0, 5, 10, 15, 20, 25]:
lon = si * 30 + deg
ref = d12_ref(lon)
result = calc_varga(lon, 12)
actual = sign_idx(result['sign'])
if ref != actual:
d12_mismatch.append((SIGNS[si], deg, SIGNS[ref], result['sign']))
report("Dwadasamsa (D12): varga.py 正确",
len(d12_mismatch) == 0,
f"不匹配: {len(d12_mismatch)} / 72")
# =============================================================================
# Test 5: Ashtakavarga 不变量验证
# =============================================================================
print("\n⭐ Test 5: Ashtakavarga 不变量")
print("-" * 50)
from ashtakavarga import calc_ashtakavarga, BAV_TOTALS, EXPECTED_SAV_TOTAL
# 测试用例:爱因斯坦星盘 (简化,只提供星座位置)
# 爱因斯坦: 1879-03-14 11:30, Ulm Germany (48.4N, 9.98E)
# 上升: Aquarius, Sun: Pisces, Moon: Sagittarius, Mars: Capricorn,
# Mercury: Aries, Jupiter: Aquarius, Venus: Aries, Saturn: Aries
# 注:以下星座位置从已知数据简化
test_planets = {
'Sun': {'sign': 'Pisces'},
'Moon': {'sign': 'Sagittarius'},
'Mars': {'sign': 'Capricorn'},
'Mercury': {'sign': 'Aries'},
'Jupiter': {'sign': 'Aquarius'},
'Venus': {'sign': 'Aries'},
'Saturn': {'sign': 'Aries'},
}
asc_idx = sign_idx('Aquarius')
result = calc_ashtakavarga(test_planets, asc_idx)
# 检查 SAV = 337
sav_total = result['sav']['total']
report(f"SAV 总分 = {EXPECTED_SAV_TOTAL}",
sav_total == EXPECTED_SAV_TOTAL,
f"实际: {sav_total}")
# 检查每个 BAV 的固定总数
for planet, expected in BAV_TOTALS.items():
actual = result['bav'][planet]['total']
report(f"{planet} BAV = {expected}",
actual == expected,
f"实际: {actual}")
# 检查 all_bav_valid
report("所有 BAV 校验通过", result['all_bav_valid'])
# =============================================================================
# Test 6: 分盘度数范围检查 (0-30)
# =============================================================================
print("\n📐 Test 6: 分盘度数范围检查")
print("-" * 50)
out_of_range = []
for div in [2, 3, 4, 7, 9, 10, 12, 16, 20, 24, 27, 30, 40, 45, 60]:
for si in range(12):
for deg in [0, 7.5, 15, 22.5, 28]:
lon = si * 30 + deg
if lon >= 360: continue
result = calc_varga(lon, div)
d = result['degree_in_sign']
if not (0 <= d < 30):
out_of_range.append((div, SIGNS[si], deg, d))
report("所有分盘度数在 [0, 30) 范围内",
len(out_of_range) == 0,
f"越界: {len(out_of_range)}")
if out_of_range:
for o in out_of_range[:5]:
print(f" D{o[0]} {o[1]} {o[2]}°: degree={o[3]}")
# =============================================================================
# Test 7: 分盘 part_index 范围检查
# =============================================================================
print("\n📐 Test 7: 分盘 part_index 范围检查")
print("-" * 50)
part_errors = []
for div in [2, 3, 4, 7, 9, 10, 12, 16, 20, 24, 27, 30, 40, 45, 60]:
max_part = div - 1
for si in range(12):
for deg in [0, 7.5, 15, 22.5, 28]:
lon = si * 30 + deg
if lon >= 360: continue
result = calc_varga(lon, div)
pi = result['part_index']
if not (0 <= pi <= max_part):
part_errors.append((div, SIGNS[si], deg, pi, max_part))
report("所有分盘 part_index 在有效范围内",
len(part_errors) == 0,
f"错误: {len(part_errors)}")
if part_errors:
for e in part_errors[:5]:
print(f" D{e[0]} {e[1]} {e[2]}°: part_index={e[3]}, max={e[4]}")
# =============================================================================
# 总结
# =============================================================================
print("\n" + "=" * 70)
print("验证总结")
print("=" * 70)
print(f"通过: {passed}")
print(f"失败: {failed}")
print(f"总计: {passed + failed}")
if failed == 0:
print("\n🎉 所有 BPHS 不变量验证通过!")
else:
print(f"\n⚠️ {failed} 项验证失败,需要修复")
# 输出详细错误报告
if errors:
print("\n详细错误列表:")
for name, detail in errors:
print(f" - {name}")
if detail:
print(f" {detail}")