提取工具函数

This commit is contained in:
SOR
2026-06-21 11:05:42 +08:00
parent c59105ef43
commit 1c48f91be5
13 changed files with 259 additions and 444 deletions
+9 -60
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@@ -20,62 +20,11 @@ Young's Modulus Calculator (Optical Lever & Successive Difference Method)
u_B,X = Δ_inst / sqrt(3)
"""
def scientific_round(value, uncertainty):
"""
按照“四舍六入五凑偶”修约:
1. 不确定度 u 保留一位有效数字(若首位是1或2,有时保留两位,此处统一保留一位)
2. 平均值末位与 u 对齐
"""
if uncertainty <= 0:
return str(value), "0"
u_float = float(uncertainty)
# 找到第一位非零数字的位置
first_digit_pos = math.floor(math.log10(u_float))
prec = Decimal('1e' + str(first_digit_pos))
# 不确定度修约
u_final = uncertainty.quantize(prec, rounding=ROUND_HALF_EVEN)
# 平均值修约,保持与不确定度末位对齐
val_final = value.quantize(prec, rounding=ROUND_HALF_EVEN)
return val_final, u_final
def calculate_stats(data_list, delta_inst):
"""计算一组数据的平均值、A类、B类及合成不确定度"""
n = len(data_list)
mean = sum(data_list) / Decimal(n)
# A类不确定度
if n > 1:
variance = sum((x - mean)**2 for x in data_list) / Decimal(n - 1)
s = Decimal(str(math.sqrt(float(variance))))
u_a = s / Decimal(str(math.sqrt(n)))
else:
u_a = Decimal("0")
# B类不确定度
u_b = Decimal(delta_inst) / Decimal(str(math.sqrt(3)))
# 合成
u_combined = Decimal(str(math.sqrt(float(u_a**2 + u_b**2))))
return mean, u_combined
def input_data_group(name, count, unit="mm"):
"""输入一组重复测量的数值"""
print(f"\n请输入 {name} 的 {count} 次测量值 (单位: {unit}):")
data = []
for i in range(count):
while True:
try:
val = input(f"{name}_{i+1} = ").strip()
if not val: continue
data.append(Decimal(val))
break
except Exception:
print("输入无效,请输入数字。")
return data
from utils import (
scientific_round,
calculate_stats,
input_data_group
)
def main():
# --- 1. 常量设置 ---
@@ -102,10 +51,10 @@ def main():
delta_d = Decimal(input("d 的仪器误差 (mm, 默认 0.005): ").strip() or "0.005")
delta_b = Decimal(input("b 的仪器误差 (mm, 默认 0.02): ").strip() or "0.02")
L_mean, L_u = calculate_stats(L_vals, delta_L)
D_mean, D_u = calculate_stats(D_vals, delta_D)
d_mean, d_u = calculate_stats(d_vals, delta_d)
b_mean, b_u = calculate_stats(b_vals, delta_b)
L_mean, L_u = calculate_stats(L_vals, delta_L)[:2]
D_mean, D_u = calculate_stats(D_vals, delta_D)[:2]
d_mean, d_u = calculate_stats(d_vals, delta_d)[:2]
b_mean, b_u = calculate_stats(b_vals, delta_b)[:2]
# --- 3. 刻度值输入 (0-7个砝码, 加重+减重) ---
print("\n--- 输入刻度尺读数 n (单位: mm) ---")