How can I identify IRQ handlers that occur during a normal CPU execution?

[havingnordicfun]

I have a time-sensitive block of code run purely by the CPU, not within any interrupt handler or peripheral. Part of the execution is getting interrupted, and so what I would like is to simply identify which IRQ or IRQs are occurring, preferably in real time. To be clear, I am not looking for advice regarding superior techniques for time-sensitive operations, I would just like to identify which IRQ or IRQs are occurring in a particular block of code. Is there a way to do this in general, or is it a process of narrowing down the potential suspects. Detailed answers much appreciated. I am using Segger Embedded Studio in my development. Thank you!

[havingnordicfun]

I wanted to reply with what I ended up doing to accomplish the aim of my original question:

One can access the vector table with SCB and remap to a location in RAM, assign every entry in the vector table to a function that forwards IRQs and intercepts them there:

#include "core_cm4.h"

#define VECTOR_TABLE_SIZE 256                                                   /**< Size of the vector table in bytes. (16 Cortex + 42 Nordic = 58 words. Next power of 2 = 256) */
static uint32_t vector_table_ram_trampoline[VECTOR_TABLE_SIZE] __attribute__ ((aligned (128)));
static uint32_t vector_table_ram[VECTOR_TABLE_SIZE] __attribute__ ((aligned (128)));


typedef void (*irq_handler_t)(void);

void irq_forwarder(void){

  uint32_t ipsr = __get_IPSR();
  uint8_t isr = ipsr & 0xFF; // this is the IRQ number that is occurring

  irq_handler_t irq_handler = (irq_handler_t)(vector_table_ram[isr]);

  irq_handler();
}

/*
 * Copy the interrupt vector table into RAM and set VTOR to point to it.
 * Call before anything else in main
 */
void vector_table_init()
{
    memcpy(vector_table_ram_trampoline, (uint32_t *) (SCB->VTOR), VECTOR_TABLE_SIZE);
    memcpy(vector_table_ram, (uint32_t *) (SCB->VTOR), VECTOR_TABLE_SIZE);

    __disable_irq();
    SCB->VTOR = (uint32_t)&vector_table_ram_trampoline;    // Set VTOR to point to new vector table
    for(int i=0; i<VECTOR_TABLE_SIZE; i++){
        vector_table_ram_trampoline[i] = (uint32_t) &irq_forwarder;
    }
    __enable_irq();
}