将所有逻辑规则与矩阵并按相同顺序匹配

例如，我有一个像这样的矩阵

dat <- cbind(1:10,11:20,21:30)
colnames(dat) <- paste0("x",1:ncol(dat))
dat
      x1 x2 x3
 [1,]  1 11 21
 [2,]  2 12 22
 [3,]  3 13 23
 [4,]  4 14 24
 [5,]  5 15 25
 [6,]  6 16 26
 [7,]  7 17 27
 [8,]  8 18 28
 [9,]  9 19 29
[10,] 10 20 30

我还有一个具有逻辑规则的向量，例如像这样

pat <- c("x1>1 & x2>12","x3>25","x1<x3 & x3>28")
pat
[1] "x1>1 & x2>12"       "x3>25"         "x1<x3 & x3>28"

I need to check the matrix for the execution of the rules, and the rules should work in the same sequence in which they are specified in the vector. For a better understanding, I will draw

因此，我想得到一个带有两个参数的函数，一个矩阵dat和一个有规则的向量pat，并返回真/假。

如果有人愿意帮助我，我会很高兴

UPD========================================

我并不总是从函数中得到正确的答案f1， 可能是什么问题呢？

f1 <- function(pat, dat) {
  tmp <-  suppressWarnings(lapply(pat, function(x) 
    min(which( with(as.data.frame(dat), 
                    eval(parse(text = x)))))))
  tmp1 <- unlist(tmp)
  i1 <- any(sapply(tmp, is.infinite))
  if(i1) FALSE else identical(tmp1, sort(tmp1))
}

一些虚假数据

set.seed(25641)
dat <- matrix(data = sample(10,20,replace = T),ncol = 3)
colnames(dat) <- paste0("x",1:ncol(dat))

pat <- c("x1>5","x2>x1","x3>1")

> dat
     x1 x2 x3
[1,]  4  4  7
[2,]  9  3  4
[3,]  7  9  5
[4,]  3  2 10
[5,] 10  7 10
[6,]  5  6  4
[7,]  9  9  4

According to the data, it can be seen that the function f1 should return TRUE, but it returns FALSE

f1(pat = pat,dat = dat)
[1] FALSE

这是一个循环模式的函数，将matrix to data.frame, while eval计算表达式，if评估后没有 TRUE 值返回 FALSE，否则检查是否unlist min索引与sorted one

f1 <- function(pat, dat) {
   tmp <-  suppressWarnings(lapply(pat, function(x) 
       min(which( with(as.data.frame(dat), 
           eval(parse(text = x)))))))
   tmp1 <- unlist(tmp)
   i1 <- any(sapply(tmp, is.infinite))
   if(i1) FALSE else identical(tmp1, sort(tmp1))
 }
   
f1(pat, dat)
#[1] TRUE

对于更新的

pat <- c("x1>1 & x2>12","x3>25","x1<x3 & x3>48")
f1(pat, dat)
#[1] FALSE