具有先前行依赖性的R data.table计算 [英] R data.table calculations with previous row dependencies

问题描述

下面是一些当前我在Excel中计算的数据。

Below is some data which I currently calculate in Excel.

col_A   col _B  col_C col_D col_E   col_F    col_G
-1.5%   0.010   1.00    1   1.00     -       -   
-5.4%   0.024   1.00    1   1.00     0.01   -0.00 
-7.9%   0.036   1.00    1   1.00     0.02   -0.00 
-12.7%  0.052   0.99    1   0.99     0.06   -0.01 
-4.6%   0.049   0.98    1   0.98     0.19   -0.01 
-8.3%   0.051   0.95    1   0.95     0.39   -0.03 
-7.3%   0.052   0.88    1   0.88     1.00   -0.07 
-9.2%   0.055   0.69    1   0.69     2.31   -0.21 
-7.9%   0.055   0.38    1   0.38     5.63   -0.44 
-2.2%   0.051   0.29    1   0.29     11.13  -0.24 

我一直在尝试使用data.table在R中执行计算。我的问题是data.table按列执行计算。由于依赖于先前行值的结果，我需要按行执行计算。下面给出了计算列的Excel公式，其中 T表示当前行， T-1表示上一行

I have been trying to perform the calculations in R using data.table. The problem I have is that data.table performs calculation column-wise. I need the calculations to be performed row-wise, because of dependencies on the results of previous row values. The Excel-formulas for the calculated columns are given below, with "T" indicating "current row" and "T-1" indication "previous row"

col_C：（ col_C.T-1）*（1 + col_G.T）

col_C: (col_C.T-1) * (1 + col_G.T)

col_D：最大值（Col_C.T，col_D.T-1）

col_D: max (Col_C.T, col_D.T-1)

col_E：（col_C.T / col_D.T）

col_E: (col_C.T / col_D.T)

col_F：max（（1-（col_C.T-1 / col_D。 T-1））/ col BT-1），0.01）

col_F: max ((1 - (col_C.T-1 / col_D.T-1)) / col B.T-1), 0.01)

col_G：col_A * col_F

col_G: col_A * col_F

任何

推荐答案

如果没有其他条件需要使用 data.table 我建议使用矩阵实现按行计算：

If there are no other conditions which require to use data.table I suggest to implement the rowwise calculations using a matrix:

m <- data.matrix(dt)
m[, 3:7] <- NA

for (i in seq.int(nrow(m))) {
  if (i == 1L) {
    m[i, "col_F"] <- 0
    m[i, "col_G"] <- 0 
    m[i, "col_C"] <- 1
    m[i, "col_D"] <- 1
  } else {
    m[i, "col_F"] <- max((1 - (m[i-1, "col_C"] / m[i-1, "col_D"])) / m[i-1, "col_B"], 0.01)
    m[i, "col_G"] <- m[i, "col_A"] * m[i, "col_F"]
    m[i, "col_C"] <- m[i-1, "col_C"] * (1 + m[i, "col_G"])
    m[i, "col_D"] <- max(m[i, "col_C"], m[i-1, "col_D"])
  }
m[i, "col_E"] <- m[i, "col_C"] / m[i, "col_D"]  
}

m

       col_A col_B     col_C col_D     col_E       col_F        col_G
 [1,] -0.015 0.010 1.0000000     1 1.0000000  0.00000000  0.000000000
 [2,] -0.054 0.024 0.9994600     1 0.9994600  0.01000000 -0.000540000
 [3,] -0.079 0.036 0.9976835     1 0.9976835  0.02250000 -0.001777500
 [4,] -0.127 0.052 0.9895302     1 0.9895302  0.06434834 -0.008172239
 [5,] -0.046 0.049 0.9803653     1 0.9803653  0.20134322 -0.009261788
 [6,] -0.083 0.051 0.9477596     1 0.9477596  0.40070748 -0.033258721
 [7,] -0.073 0.052 0.8768905     1 0.8768905  1.02432085 -0.074775422
 [8,] -0.092 0.055 0.6858958     1 0.6858958  2.36749020 -0.217809099
 [9,] -0.079 0.055 0.3764416     1 0.3764416  5.71098585 -0.451167882
[10,] -0.022 0.051 0.2825483     1 0.2825483 11.33742486 -0.249423347

col_F 的最后4行与OP的预期结果之间的偏差可能是由于过帐值的精度有限 col_A 和 col_B 。

The deviations in the last 4 rows of col_F from OP's expected result might be due to the limited precision of the posted values of col_A and col_B.

library(data.table)

dt <- fread("col_A   col_B  col_C col_D col_E   col_F    col_G
-1.5%   0.010   1.00    1   1.00     -       -   
-5.4%   0.024   1.00    1   1.00     0.01   -0.00 
-7.9%   0.036   1.00    1   1.00     0.02   -0.00 
-12.7%  0.052   0.99    1   0.99     0.06   -0.01 
-4.6%   0.049   0.98    1   0.98     0.19   -0.01 
-8.3%   0.051   0.95    1   0.95     0.39   -0.03 
-7.3%   0.052   0.88    1   0.88     1.00   -0.07 
-9.2%   0.055   0.69    1   0.69     2.31   -0.21 
-7.9%   0.055   0.38    1   0.38     5.63   -0.44 
-2.2%   0.051   0.29    1   0.29     11.13  -0.24 ", na.strings = "-")
# convert percent string to numeric
dt[, col_A := readr::parse_number(col_A) / 100]

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