// Copyright ©2015 The Gonum Authors. All rights reserved. // Use of this source code is governed by a BSD-style // license that can be found in the LICENSE file. package f64_test import ( "fmt" "testing" "gonum.org/v1/gonum/floats/scalar" . "gonum.org/v1/gonum/internal/asm/f64" ) var axpyTests = []struct { alpha float64 x []float64 y []float64 want []float64 wantRev []float64 // Result when x is traversed in reverse direction. }{ { alpha: 0, x: []float64{}, y: []float64{}, want: []float64{}, wantRev: []float64{}, }, { alpha: 0, x: []float64{2}, y: []float64{-3}, want: []float64{-3}, wantRev: []float64{-3}, }, { alpha: 1, x: []float64{2}, y: []float64{-3}, want: []float64{-1}, wantRev: []float64{-1}, }, { alpha: 3, x: []float64{2}, y: []float64{-3}, want: []float64{3}, wantRev: []float64{3}, }, { alpha: -3, x: []float64{2}, y: []float64{-3}, want: []float64{-9}, wantRev: []float64{-9}, }, { alpha: 1, x: []float64{1, 5}, y: []float64{2, -3}, want: []float64{3, 2}, wantRev: []float64{7, -2}, }, { alpha: 1, x: []float64{2, 3, 4}, y: []float64{-3, -2, -1}, want: []float64{-1, 1, 3}, wantRev: []float64{1, 1, 1}, }, { alpha: 0, x: []float64{0, 0, 1, 1, 2, -3, -4}, y: []float64{0, 1, 0, 3, -4, 5, -6}, want: []float64{0, 1, 0, 3, -4, 5, -6}, wantRev: []float64{0, 1, 0, 3, -4, 5, -6}, }, { alpha: 1, x: []float64{0, 0, 1, 1, 2, -3, -4}, y: []float64{0, 1, 0, 3, -4, 5, -6}, want: []float64{0, 1, 1, 4, -2, 2, -10}, wantRev: []float64{-4, -2, 2, 4, -3, 5, -6}, }, { alpha: 3, x: []float64{0, 0, 1, 1, 2, -3, -4}, y: []float64{0, 1, 0, 3, -4, 5, -6}, want: []float64{0, 1, 3, 6, 2, -4, -18}, wantRev: []float64{-12, -8, 6, 6, -1, 5, -6}, }, { alpha: -3, x: []float64{0, 0, 1, 1, 2, -3, -4, 0, 0, 1, 1, 2, -3, -4}, y: []float64{0, 1, 0, 3, -4, 5, -6, 0, 1, 0, 3, -4, 5, -6}, want: []float64{0, 1, -3, 0, -10, 14, 6, 0, 1, -3, 0, -10, 14, 6}, wantRev: []float64{12, 10, -6, 0, -7, 5, -6, 12, 10, -6, 0, -7, 5, -6}, }, { alpha: -5, x: []float64{0, 0, 1, 1, 2, -3, -4, 5, 1, 2, -3, -4, 5}, y: []float64{0, 1, 0, 3, -4, 5, -6, 7, 3, -4, 5, -6, 7}, want: []float64{0, 1, -5, -2, -14, 20, 14, -18, -2, -14, 20, 14, -18}, wantRev: []float64{-25, 21, 15, -7, -9, -20, 14, 22, -7, -9, 0, -6, 7}, }, } func TestAxpyUnitary(t *testing.T) { const xGdVal, yGdVal = -1, 0.5 for i, test := range axpyTests { for _, align := range align2 { prefix := fmt.Sprintf("Test %v (x:%v y:%v)", i, align.x, align.y) xgLn, ygLn := 4+align.x, 4+align.y xg, yg := guardVector(test.x, xGdVal, xgLn), guardVector(test.y, yGdVal, ygLn) x, y := xg[xgLn:len(xg)-xgLn], yg[ygLn:len(yg)-ygLn] AxpyUnitary(test.alpha, x, y) for i := range test.want { if !scalar.Same(y[i], test.want[i]) { t.Errorf(msgVal, prefix, i, y[i], test.want[i]) } } if !isValidGuard(xg, xGdVal, xgLn) { t.Errorf(msgGuard, prefix, "x", xg[:xgLn], xg[len(xg)-xgLn:]) } if !isValidGuard(yg, yGdVal, ygLn) { t.Errorf(msgGuard, prefix, "y", yg[:ygLn], yg[len(yg)-ygLn:]) } if !equalStrided(test.x, x, 1) { t.Errorf("%v: modified read-only x argument", prefix) } } } } func TestAxpyUnitaryTo(t *testing.T) { const dstGdVal, xGdVal, yGdVal = 1, -1, 0.5 for i, test := range axpyTests { for _, align := range align3 { prefix := fmt.Sprintf("Test %v (x:%v y:%v dst:%v)", i, align.x, align.y, align.dst) dgLn, xgLn, ygLn := 4+align.dst, 4+align.x, 4+align.y dstOrig := make([]float64, len(test.x)) xg, yg := guardVector(test.x, xGdVal, xgLn), guardVector(test.y, yGdVal, ygLn) dstg := guardVector(dstOrig, dstGdVal, dgLn) x, y := xg[xgLn:len(xg)-xgLn], yg[ygLn:len(yg)-ygLn] dst := dstg[dgLn : len(dstg)-dgLn] AxpyUnitaryTo(dst, test.alpha, x, y) for i := range test.want { if !scalar.Same(dst[i], test.want[i]) { t.Errorf(msgVal, prefix, i, dst[i], test.want[i]) } } if !isValidGuard(xg, xGdVal, xgLn) { t.Errorf(msgGuard, prefix, "x", xg[:xgLn], xg[len(xg)-xgLn:]) } if !isValidGuard(yg, yGdVal, ygLn) { t.Errorf(msgGuard, prefix, "y", yg[:ygLn], yg[len(yg)-ygLn:]) } if !isValidGuard(dstg, dstGdVal, dgLn) { t.Errorf(msgGuard, prefix, "dst", dstg[:dgLn], dstg[len(dstg)-dgLn:]) } if !equalStrided(test.x, x, 1) { t.Errorf("%v: modified read-only x argument", prefix) } if !equalStrided(test.y, y, 1) { t.Errorf("%v: modified read-only y argument", prefix) } } } } func TestAxpyInc(t *testing.T) { const xGdVal, yGdVal = -1, 0.5 gdLn := 4 for i, test := range axpyTests { n := len(test.x) for _, inc := range newIncSet(-7, -4, -3, -2, -1, 1, 2, 3, 4, 7) { var ix, iy int if inc.x < 0 { ix = (-n + 1) * inc.x } if inc.y < 0 { iy = (-n + 1) * inc.y } prefix := fmt.Sprintf("test %v, inc.x = %v, inc.y = %v", i, inc.x, inc.y) xg := guardIncVector(test.x, xGdVal, inc.x, gdLn) yg := guardIncVector(test.y, yGdVal, inc.y, gdLn) x, y := xg[gdLn:len(xg)-gdLn], yg[gdLn:len(yg)-gdLn] AxpyInc(test.alpha, x, y, uintptr(n), uintptr(inc.x), uintptr(inc.y), uintptr(ix), uintptr(iy)) want := test.want if inc.x*inc.y < 0 { want = test.wantRev } if inc.y < 0 { inc.y = -inc.y } for i := range want { if !scalar.Same(y[i*inc.y], want[i]) { t.Errorf(msgVal, prefix, i, y[iy+i*inc.y], want[i]) } } if !equalStrided(test.x, x, inc.x) { t.Errorf("%v: modified read-only x argument", prefix) } checkValidIncGuard(t, xg, xGdVal, inc.x, gdLn) checkValidIncGuard(t, yg, yGdVal, inc.y, gdLn) } } } func TestAxpyIncTo(t *testing.T) { const dstGdVal, xGdVal, yGdVal = 1, -1, 0.5 var want []float64 gdLn := 4 for i, test := range axpyTests { n := len(test.x) for _, inc := range newIncToSet(-7, -4, -3, -2, -1, 1, 2, 3, 4, 7) { var ix, iy, idst uintptr if inc.x < 0 { ix = uintptr((-n + 1) * inc.x) } if inc.y < 0 { iy = uintptr((-n + 1) * inc.y) } if inc.dst < 0 { idst = uintptr((-n + 1) * inc.dst) } prefix := fmt.Sprintf("Test %v: (x: %v, y: %v, dst:%v)", i, inc.x, inc.y, inc.dst) dstOrig := make([]float64, len(test.want)) xg := guardIncVector(test.x, xGdVal, inc.x, gdLn) yg := guardIncVector(test.y, yGdVal, inc.y, gdLn) dstg := guardIncVector(dstOrig, dstGdVal, inc.dst, gdLn) x, y := xg[gdLn:len(xg)-gdLn], yg[gdLn:len(yg)-gdLn] dst := dstg[gdLn : len(dstg)-gdLn] AxpyIncTo(dst, uintptr(inc.dst), idst, test.alpha, x, y, uintptr(n), uintptr(inc.x), uintptr(inc.y), ix, iy) want = test.want if inc.x*inc.y < 0 { want = test.wantRev } iW, incW := 0, 1 if inc.y*inc.dst < 0 { iW, incW = len(want)-1, -1 } if inc.dst < 0 { inc.dst = -inc.dst } for i := range want { if !scalar.Same(dst[i*inc.dst], want[iW+i*incW]) { t.Errorf(msgVal, prefix, i, dst[i*inc.dst], want[iW+i*incW]) } } checkValidIncGuard(t, xg, xGdVal, inc.x, gdLn) checkValidIncGuard(t, yg, yGdVal, inc.y, gdLn) checkValidIncGuard(t, dstg, dstGdVal, inc.dst, gdLn) if !equalStrided(test.x, x, inc.x) { t.Errorf("%v: modified read-only x argument", prefix) } if !equalStrided(test.y, y, inc.y) { t.Errorf("%v: modified read-only y argument", prefix) } } } }