提取工具函数
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@@ -1,5 +1,11 @@
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import math
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from decimal import Decimal, ROUND_HALF_EVEN
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from utils import (
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scientific_round,
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calculate_stats,
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input_decimal,
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input_int
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)
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"""
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Wheatstone Bridge Resistance Measurement Calculator
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@@ -56,71 +62,6 @@ Wheatstone Bridge Resistance Measurement Calculator
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Rx 末位与不确定度对齐
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"""
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def scientific_round(value, uncertainty):
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"""
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按照"四舍六入五凑偶"修约:
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1. 不确定度 u 保留一位有效数字
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2. 平均值末位与 u 对齐
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"""
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if uncertainty <= 0:
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return str(value), "0"
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u_float = float(uncertainty)
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first_digit_pos = math.floor(math.log10(u_float))
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prec = Decimal('1e' + str(first_digit_pos))
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u_final = uncertainty.quantize(prec, rounding=ROUND_HALF_EVEN)
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val_final = value.quantize(prec, rounding=ROUND_HALF_EVEN)
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return val_final, u_final
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def calculate_stats(data_list, delta_inst):
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"""
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计算一组数据的平均值、A类、B类及合成不确定度
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u(X) = sqrt( u_A^2 + u_B^2 )
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u_A = s / sqrt(n)
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u_B = Δ_inst / sqrt(3)
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"""
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n = len(data_list)
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mean = sum(data_list) / Decimal(n)
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if n > 1:
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variance = sum((x - mean)**2 for x in data_list) / Decimal(n - 1)
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s = Decimal(str(math.sqrt(float(variance))))
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u_a = s / Decimal(str(math.sqrt(n)))
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else:
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u_a = Decimal("0")
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u_b = Decimal(delta_inst) / Decimal(str(math.sqrt(3)))
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u_combined = Decimal(str(math.sqrt(float(u_a**2 + u_b**2))))
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return mean, u_a, u_b, u_combined
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def input_decimal(prompt, default=None):
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"""输入一个 Decimal 值,支持默认值"""
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while True:
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try:
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suffix = f" (默认 {default})" if default else ""
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val = input(f"{prompt}{suffix}: ").strip()
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if not val and default is not None:
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return Decimal(str(default))
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if not val:
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continue
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return Decimal(val)
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except Exception:
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print("输入无效,请输入数字。")
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def input_int(prompt, default=None):
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"""输入一个整数,支持默认值"""
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while True:
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try:
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suffix = f" (默认 {default})" if default else ""
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val = input(f"{prompt}{suffix}: ").strip()
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if not val and default is not None:
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return default
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return int(val)
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except Exception:
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print("输入无效,请输入整数。")
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def measure_one_ratio(ratio_label, C_value, R_nominal, n_measurements):
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"""
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@@ -174,7 +115,7 @@ def measure_one_ratio(ratio_label, C_value, R_nominal, n_measurements):
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delta_inst = R0_mean / S
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# --- 不确定度分析 ---
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R0_mean_final, u_a_R0, u_b_R0, u_R0 = calculate_stats(R0_data, str(delta_inst))
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R0_mean_final, u_R0, u_a_R0, u_b_R0, _ = calculate_stats(R0_data, str(delta_inst))
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# Rx = C * R0
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Rx_mean = C * R0_mean_final
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