#!/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}")