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// RUN: %clang -std=c11 -O0 %s -S -emit-llvm -o - | %opt - %OPloadEnzyme %enzyme -S | %lli -
// RUN: %clang -std=c11 -O1 %s -S -emit-llvm -o - | %opt - %OPloadEnzyme %enzyme -S | %lli -
// RUN: %clang -std=c11 -O2 %s -S -emit-llvm -o - | %opt - %OPloadEnzyme %enzyme -S | %lli -
// RUN: %clang -std=c11 -O3 %s -S -emit-llvm -o - | %opt - %OPloadEnzyme %enzyme -S | %lli -
// RUN: %clang -std=c11 -O0 %s -S -emit-llvm -o - | %opt - %OPloadEnzyme %enzyme -enzyme-inline=1 -S | %lli -
// RUN: %clang -std=c11 -O1 %s -S -emit-llvm -o - | %opt - %OPloadEnzyme %enzyme -enzyme-inline=1 -S | %lli -
// RUN: %clang -std=c11 -O2 %s -S -emit-llvm -o - | %opt - %OPloadEnzyme %enzyme -enzyme-inline=1 -S | %lli -
// RUN: %clang -std=c11 -O3 %s -S -emit-llvm -o - | %opt - %OPloadEnzyme %enzyme -enzyme-inline=1 -S | %lli -
#include "../test_utils.h"
void __enzyme_autodiff(void*, ...);
__attribute__((noinline))
void forward_sub(int N, double* __restrict__ L, double * __restrict__ b, double * __restrict__ out) {
/*
"""x = forward_sub(L, b) is the solution to L x = b
L must be a lower-triangular matrix
b must be a vector of the same leading dimension as L
"""
*/
for (unsigned long i=0; i<N; i++) {
double tmp = b[i];
if (i > 1)
for (unsigned long j=0; j<i-1; j++) {
tmp -= L[i*N+j] * out[j];
}
out[i] = tmp;
// assumed to be 1
// out[i] = tmp / L[i*N+i];
}
}
int main() {
double L[9];
double dL[9];
for (int i=0; i<9; i++) {
L[i] = i+1;
dL[i] = 0;
}
double b[3];
double db[3];
double out[3];
double dout[3];
for (int i=0; i<3; i++) {
b[i] = (i+1) / 10.;
db[i] = 0;
dout[i] = 10000 * (i + 1);
}
forward_sub(3, L, b, out);
for (int i=0; i<9; i++) {
L[i] = i;
}
__enzyme_autodiff(forward_sub, 3, L, dL, b, db, out, dout);
for (int i=0; i<9; i++) {
printf("dL[%d]=%f\n", i, dL[i]);
}
for (int i=0; i<3; i++) {
printf("dB[%d]=%f\n", i, db[i]);
}
double real_dL[9] = { 0. };
real_dL[6] = -3000;
for (int i=0; i<9; i++) {
APPROX_EQ(dL[i], real_dL[i], 1e-10);
}
double real_db[3] = { -170000., 20000, 30000 };
for (int i=0; i<3; i++) {
APPROX_EQ(db[i], real_db[i], 1e-10);
}
return 0;
}