can I count number of rows within certain values?

My data.table looks like this

   | value | min_val | max_val |
1: | 94.001 | 94.00 | 94.02 |
2: | 94.002 | 94.00 | 94.03 |
3: | 94.003 | 94.01 | 94.04 |
4: | 95 | 94.98 | 95.02 |
...

I want to calculate the count of rows where value > min_val & value < max_val for each line for the values from the whole dt.

   | value | min_val | max_val | count |
1: | 94.001 | 94.00 | 94.02 |  1       |   #(num of value(s) > 94.00 &  < 94.02)
2: | 94.002 | 94.00 | 94.03 |  2       |
3: | 94.003 | 94.01 | 94.04 |  2       |
4: | 95     | 94.98 | 95.02 |  1       |

I've tried dt[, count := nrow(dt[value > dt[min_val] & value < dt[max_val]])] but I'm on the wrong path.

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